TSTP Solution File: GEO263+1 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : GEO263+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n010.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 15:18:49 EDT 2022
% Result : Timeout 290.71s 41.66s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO263+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.06/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Aug 31 07:06:43 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 [DMT] DMT loaded with preskolemization
% 0.12/0.34 [EQ] equality loaded.
% 0.12/0.34 [0.000038s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.34 Conjecture not found
% 0.12/0.34 Start search
% 0.12/0.34 nb_step : 1 - limit : 32
% 0.12/0.34 Launch Gotab with destructive = true
% 290.71/41.66 % SZS output start Proof for theBenchmark.p
% 293.38/42.78 [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)) & convergent_lines(L77_77, N79_79)) & convergent_lines(M78_78, N79_79)) => between_on_line(M78_78, intersection_point(M78_78, parallel_through_point(N79_79, A80_80)), intersection_point(M78_78, parallel_through_point(N79_79, B81_81)), intersection_point(M78_78, parallel_through_point(N79_79, C82_82))))))
% 293.38/42.78 -> [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)) & convergent_lines(L77_77, N79_79)) & convergent_lines(M78_78, N79_79)) => between_on_line(M78_78, intersection_point(M78_78, parallel_through_point(N79_79, A80_80)), intersection_point(M78_78, parallel_through_point(N79_79, B81_81)), intersection_point(M78_78, parallel_through_point(N79_79, C82_82)))))
% 293.38/42.78
% 293.38/42.78 [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)))))
% 293.38/42.78 -> [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))))
% 293.38/42.79
% 293.38/42.79 [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)) & convergent_lines(L77_77, N79_79)) & convergent_lines(M78_78, N79_79)) => between_on_line(M78_78, intersection_point(M78_78, parallel_through_point(N79_79, A80_80)), intersection_point(M78_78, parallel_through_point(N79_79, B81_81)), intersection_point(M78_78, parallel_through_point(N79_79, C82_82)))))
% 293.38/42.79 -> [3] ~((((between_on_line(skolem_L7777, skolem_A8080, skolem_B8181, skolem_C8282) & convergent_lines(skolem_L7777, skolem_M7878)) & convergent_lines(skolem_L7777, skolem_N7979)) & convergent_lines(skolem_M7878, skolem_N7979)) => between_on_line(skolem_M7878, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.38/42.79
% 293.38/42.79 [3] ALPHA_NOT_IMPLY : ~((((between_on_line(skolem_L7777, skolem_A8080, skolem_B8181, skolem_C8282) & convergent_lines(skolem_L7777, skolem_M7878)) & convergent_lines(skolem_L7777, skolem_N7979)) & convergent_lines(skolem_M7878, skolem_N7979)) => between_on_line(skolem_M7878, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.38/42.79 -> [4] (((between_on_line(skolem_L7777, skolem_A8080, skolem_B8181, skolem_C8282) & convergent_lines(skolem_L7777, skolem_M7878)) & convergent_lines(skolem_L7777, skolem_N7979)) & convergent_lines(skolem_M7878, skolem_N7979)), ~between_on_line(skolem_M7878, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))
% 293.38/42.79
% 293.38/42.79 [4] Rewrite : ~between_on_line(skolem_M7878, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))
% 293.38/42.79 -> [5] ~((before_on_line(skolem_M7878, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))) & before_on_line(skolem_M7878, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))) & before_on_line(skolem_M7878, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 293.38/42.79
% 293.38/42.79 [5] ALPHA_AND : (((between_on_line(skolem_L7777, skolem_A8080, skolem_B8181, skolem_C8282) & convergent_lines(skolem_L7777, skolem_M7878)) & convergent_lines(skolem_L7777, skolem_N7979)) & convergent_lines(skolem_M7878, skolem_N7979))
% 293.38/42.79 -> [6] ((between_on_line(skolem_L7777, skolem_A8080, skolem_B8181, skolem_C8282) & convergent_lines(skolem_L7777, skolem_M7878)) & convergent_lines(skolem_L7777, skolem_N7979)), convergent_lines(skolem_M7878, skolem_N7979)
% 293.38/42.79
% 293.38/42.79 [6] Rewrite : convergent_lines(skolem_M7878, skolem_N7979)
% 293.38/42.79 -> [7] (unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.79
% 293.38/42.79 [7] ALPHA_NOT_OR : ~((before_on_line(skolem_M7878, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))) & before_on_line(skolem_M7878, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))) & before_on_line(skolem_M7878, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 293.38/42.79 -> [8] ~(before_on_line(skolem_M7878, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))) & before_on_line(skolem_M7878, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))) & before_on_line(skolem_M7878, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.38/42.79
% 293.38/42.79 [8] ALPHA_AND : ((between_on_line(skolem_L7777, skolem_A8080, skolem_B8181, skolem_C8282) & convergent_lines(skolem_L7777, skolem_M7878)) & convergent_lines(skolem_L7777, skolem_N7979))
% 293.38/42.79 -> [9] (between_on_line(skolem_L7777, skolem_A8080, skolem_B8181, skolem_C8282) & convergent_lines(skolem_L7777, skolem_M7878)), convergent_lines(skolem_L7777, skolem_N7979)
% 293.38/42.79
% 293.38/42.79 [9] Rewrite : convergent_lines(skolem_L7777, skolem_N7979)
% 293.38/42.79 -> [10] (unequally_directed_lines(skolem_L7777, skolem_N7979) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979)))
% 293.38/42.79
% 293.38/42.79 [10] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.79 -> [11] unequally_directed_lines(skolem_M7878, skolem_N7979), unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [11] ALPHA_AND : (between_on_line(skolem_L7777, skolem_A8080, skolem_B8181, skolem_C8282) & convergent_lines(skolem_L7777, skolem_M7878))
% 293.38/42.79 -> [12] between_on_line(skolem_L7777, skolem_A8080, skolem_B8181, skolem_C8282), convergent_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [12] Rewrite : between_on_line(skolem_L7777, skolem_A8080, skolem_B8181, skolem_C8282)
% 293.38/42.79 -> [13] ((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)))
% 293.38/42.79
% 293.38/42.79 [13] Rewrite : convergent_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79 -> [14] (unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79
% 293.38/42.79 [14] ALPHA_AND : (unequally_directed_lines(skolem_L7777, skolem_N7979) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979)))
% 293.38/42.79 -> [15] unequally_directed_lines(skolem_L7777, skolem_N7979), unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [15] ALPHA_AND : (unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [16] unequally_directed_lines(skolem_L7777, skolem_M7878), unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [16] BETA_NOT_AND : ~(before_on_line(skolem_M7878, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))) & before_on_line(skolem_M7878, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.38/42.79 -> [17] ~before_on_line(skolem_M7878, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))
% 293.38/42.79 -> [18] ~before_on_line(skolem_M7878, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))
% 293.38/42.79
% 293.38/42.79 [18] Rewrite : ~before_on_line(skolem_M7878, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))
% 293.38/42.79 -> [20] ~(((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.38/42.79
% 293.38/42.79 [20] BETA_NOT_AND : ~(before_on_line(skolem_M7878, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))) & before_on_line(skolem_M7878, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.38/42.79 -> [23] ~before_on_line(skolem_M7878, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))
% 293.38/42.79 -> [24] ~before_on_line(skolem_M7878, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 293.38/42.79
% 293.38/42.79 [24] Rewrite : ~before_on_line(skolem_M7878, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 293.38/42.79 -> [28] ~(((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 293.38/42.79
% 293.38/42.79 [28] 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)))
% 293.38/42.79 -> [31] (before_on_line(skolem_L7777, skolem_A8080, skolem_B8181) & before_on_line(skolem_L7777, skolem_B8181, skolem_C8282))
% 293.38/42.79 -> [32] (before_on_line(skolem_L7777, skolem_C8282, skolem_B8181) & before_on_line(skolem_L7777, skolem_B8181, skolem_A8080))
% 293.38/42.79
% 293.38/42.79 [32] ALPHA_AND : (before_on_line(skolem_L7777, skolem_C8282, skolem_B8181) & before_on_line(skolem_L7777, skolem_B8181, skolem_A8080))
% 293.38/42.79 -> [41] before_on_line(skolem_L7777, skolem_C8282, skolem_B8181), before_on_line(skolem_L7777, skolem_B8181, skolem_A8080)
% 293.38/42.79
% 293.38/42.79 [41] Rewrite : before_on_line(skolem_L7777, skolem_C8282, skolem_B8181)
% 293.38/42.79 -> [48] (((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)))
% 293.38/42.79
% 293.38/42.79 [48] Rewrite : before_on_line(skolem_L7777, skolem_B8181, skolem_A8080)
% 293.38/42.79 -> [58] (((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)))
% 293.38/42.79
% 293.38/42.79 [58] 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)))
% 293.38/42.79 -> [65] ((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))
% 293.38/42.79
% 293.38/42.79 [65] 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)))
% 293.38/42.79 -> [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))
% 293.38/42.79
% 293.38/42.79 [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))))
% 293.38/42.79 -> [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)))
% 293.38/42.79
% 293.38/42.79 [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))))
% 293.38/42.79 -> [86] (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)))
% 293.38/42.79
% 293.38/42.79 [86] ALPHA_AND : (distinct_points(skolem_C8282, skolem_B8181) & ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777))))
% 293.38/42.79 -> [88] distinct_points(skolem_C8282, skolem_B8181), ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))
% 293.38/42.79
% 293.38/42.79 [88] ALPHA_NOT_OR : ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))
% 293.38/42.79 -> [102] ~left_apart_point(skolem_B8181, skolem_L7777), ~left_apart_point(skolem_B8181, reverse_line(skolem_L7777))
% 293.38/42.79
% 293.38/42.79 [102] ALPHA_AND : (distinct_points(skolem_B8181, skolem_A8080) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777))))
% 293.38/42.79 -> [110] distinct_points(skolem_B8181, skolem_A8080), ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))
% 293.38/42.79
% 293.38/42.79 [110] ALPHA_NOT_OR : ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))
% 293.38/42.79 -> [118] ~left_apart_point(skolem_A8080, skolem_L7777), ~left_apart_point(skolem_A8080, reverse_line(skolem_L7777))
% 293.38/42.79
% 293.38/42.79 [118] ALPHA_NOT_OR : ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))
% 293.38/42.79 -> [127] ~left_apart_point(skolem_C8282, skolem_L7777), ~left_apart_point(skolem_C8282, reverse_line(skolem_L7777))
% 293.38/42.79
% 293.38/42.79 [127] ALPHA_NOT_OR : ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))
% 293.38/42.79 -> [134] ~left_apart_point(skolem_B8181, skolem_L7777), ~left_apart_point(skolem_B8181, reverse_line(skolem_L7777))
% 293.38/42.79
% 293.38/42.79 [134] BETA_NOT_AND : ~(((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.38/42.79 -> [142] ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.38/42.79 -> [143] ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.38/42.79
% 293.38/42.79 [143] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.38/42.79 -> [158] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.38/42.79
% 293.38/42.79 [158] BETA_NOT_AND : ~(((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 293.38/42.79 -> [238] ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.38/42.79 -> [239] ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.38/42.79
% 293.38/42.79 [239] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.38/42.79 -> [438] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.38/42.79
% 293.38/42.79 [438] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.38/42.79 -> [469] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.38/42.79
% 293.38/42.79 [469] 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))))
% 293.38/42.79 -> [580] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.38/42.79
% 293.38/42.79 [580] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.38/42.79 -> [585] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.79 -> [586] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.38/42.79
% 293.38/42.79 [585] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.79
% 293.38/42.79 [586] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.38/42.79 -> [1836] distinct_points(skolem_B8181, skolem_B8181)
% 293.38/42.79 -> [1837] distinct_points(skolem_A8080, skolem_B8181)
% 293.38/42.79
% 293.38/42.79 [1836] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.38/42.79
% 293.38/42.79 [1837] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.38/42.79 -> [3864] ~distinct_lines(N27_82_3, N27_82_3)
% 293.38/42.79
% 293.38/42.79 [3864] 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))))
% 293.38/42.79 -> [3919] (distinct_lines(N27_82_3, N27_82_3) => (distinct_lines(N27_82_3, N27_82_3) | distinct_lines(N27_82_3, N27_82_3)))
% 293.38/42.79
% 293.38/42.79 [3919] 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)))
% 293.38/42.79 -> [3922] ~distinct_lines(N27_82_3, N27_82_3)
% 293.38/42.79 -> [3923] (distinct_lines(N27_82_3, N27_82_3) | distinct_lines(N27_82_3, N27_82_3))
% 293.38/42.79
% 293.38/42.79 [3923] BETA_OR : (distinct_lines(N27_82_3, N27_82_3) | distinct_lines(N27_82_3, N27_82_3))
% 293.38/42.79 -> [3924] distinct_lines(N27_82_3, N27_82_3)
% 293.38/42.79 -> [3925] distinct_lines(N27_82_3, N27_82_3)
% 293.38/42.79
% 293.38/42.79 [3925] CLOSURE : distinct_lines(N27_82_3, N27_82_3)
% 293.38/42.79
% 293.38/42.79 [3924] CLOSURE : distinct_lines(N27_82_3, N27_82_3)
% 293.38/42.79
% 293.38/42.79 [3922] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.38/42.79 -> [4033] ~unequally_directed_lines(skolem_N7979, skolem_N7979)
% 293.38/42.79
% 293.38/42.79 [4033] 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))))
% 293.38/42.79 -> [4746] (unequally_directed_lines(skolem_M7878, skolem_N7979) => (unequally_directed_lines(skolem_M7878, skolem_N7979) | unequally_directed_lines(skolem_N7979, skolem_N7979)))
% 293.38/42.79
% 293.38/42.79 [4746] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, skolem_N7979) => (unequally_directed_lines(skolem_M7878, skolem_N7979) | unequally_directed_lines(skolem_N7979, skolem_N7979)))
% 293.38/42.79 -> [4751] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.79 -> [4752] (unequally_directed_lines(skolem_M7878, skolem_N7979) | unequally_directed_lines(skolem_N7979, skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [4751] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.79
% 293.38/42.79 [4752] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_N7979) | unequally_directed_lines(skolem_N7979, skolem_N7979))
% 293.38/42.79 -> [7153] unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.79 -> [7154] unequally_directed_lines(skolem_N7979, skolem_N7979)
% 293.38/42.79
% 293.38/42.79 [7154] CLOSURE : unequally_directed_lines(skolem_N7979, skolem_N7979)
% 293.38/42.79
% 293.38/42.79 [7153] 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))))))
% 293.38/42.79 -> [8598] ((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)))))
% 293.38/42.79
% 293.38/42.79 [8598] 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)))))
% 293.38/42.79 -> [8601] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.79 -> [8602] ((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))))
% 293.38/42.79
% 293.38/42.79 [8601] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.79 -> [8677] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.79 -> [8678] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [8678] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [8677] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.79
% 293.38/42.79 [8602] 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))))
% 293.38/42.79 -> [9512] (unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.79 -> [9513] (unequally_directed_lines(skolem_N7979, skolem_N7979) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979)))
% 293.38/42.79
% 293.38/42.79 [9513] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_N7979) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979)))
% 293.38/42.79 -> [9516] unequally_directed_lines(skolem_N7979, skolem_N7979), unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [9516] CLOSURE : unequally_directed_lines(skolem_N7979, skolem_N7979)
% 293.38/42.79
% 293.38/42.79 [9512] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.79 -> [9523] unequally_directed_lines(skolem_M7878, skolem_N7979), unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [9523] 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)))))
% 293.38/42.79 -> [9536] ((line(skolem_N7979) & line(skolem_N7979)) => (unequally_directed_lines(skolem_N7979, skolem_N7979) | unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979))))
% 293.38/42.79
% 293.38/42.79 [9536] BETA_IMPLY : ((line(skolem_N7979) & line(skolem_N7979)) => (unequally_directed_lines(skolem_N7979, skolem_N7979) | unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979))))
% 293.38/42.79 -> [9541] ~(line(skolem_N7979) & line(skolem_N7979))
% 293.38/42.79 -> [9542] (unequally_directed_lines(skolem_N7979, skolem_N7979) | unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979)))
% 293.38/42.79
% 293.38/42.79 [9542] BETA_OR : (unequally_directed_lines(skolem_N7979, skolem_N7979) | unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979)))
% 293.38/42.79 -> [9556] unequally_directed_lines(skolem_N7979, skolem_N7979)
% 293.38/42.79 -> [9557] unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [9556] CLOSURE : unequally_directed_lines(skolem_N7979, skolem_N7979)
% 293.38/42.79
% 293.38/42.79 [9557] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.79 -> [9778] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.38/42.79
% 293.38/42.79 [9778] 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))))
% 293.38/42.79 -> [9779] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [9780] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79
% 293.38/42.79 [9779] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [9788] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79 -> [9789] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [9788] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [9789] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [9780] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [9781] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79 -> [9782] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [9781] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [9828] ~(left_apart_point(A39_258_9, L40_258_9) | left_apart_point(A39_258_9, reverse_line(L40_258_9)))
% 293.38/42.79
% 293.38/42.79 [9828] ALPHA_NOT_OR : ~(left_apart_point(A39_258_9, L40_258_9) | left_apart_point(A39_258_9, reverse_line(L40_258_9)))
% 293.38/42.79 -> [9829] ~left_apart_point(A39_258_9, L40_258_9), ~left_apart_point(A39_258_9, reverse_line(L40_258_9))
% 293.38/42.79
% 293.38/42.79 [9829] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.38/42.79 -> [11019] ~(left_convergent_lines(L41_73_10, M42_73_10) | left_convergent_lines(L41_73_10, reverse_line(M42_73_10)))
% 293.38/42.79
% 293.38/42.79 [11019] ALPHA_NOT_OR : ~(left_convergent_lines(L41_73_10, M42_73_10) | left_convergent_lines(L41_73_10, reverse_line(M42_73_10)))
% 293.38/42.79 -> [11021] ~left_convergent_lines(L41_73_10, M42_73_10), ~left_convergent_lines(L41_73_10, reverse_line(M42_73_10))
% 293.38/42.79
% 293.38/42.79 [11021] CLOSURE : ~left_convergent_lines(L41_73_10, M42_73_10)
% 293.38/42.79
% 293.38/42.79 [9782] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [9818] ~(left_apart_point(A39_256_9, L40_256_9) | left_apart_point(A39_256_9, reverse_line(L40_256_9)))
% 293.38/42.79
% 293.38/42.79 [9818] ALPHA_NOT_OR : ~(left_apart_point(A39_256_9, L40_256_9) | left_apart_point(A39_256_9, reverse_line(L40_256_9)))
% 293.38/42.79 -> [9821] ~left_apart_point(A39_256_9, L40_256_9), ~left_apart_point(A39_256_9, reverse_line(L40_256_9))
% 293.38/42.79
% 293.38/42.79 [9821] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.38/42.79 -> [11042] ~(left_convergent_lines(L41_74_10, M42_74_10) | left_convergent_lines(L41_74_10, reverse_line(M42_74_10)))
% 293.38/42.79
% 293.38/42.79 [11042] ALPHA_NOT_OR : ~(left_convergent_lines(L41_74_10, M42_74_10) | left_convergent_lines(L41_74_10, reverse_line(M42_74_10)))
% 293.38/42.79 -> [11043] ~left_convergent_lines(L41_74_10, M42_74_10), ~left_convergent_lines(L41_74_10, reverse_line(M42_74_10))
% 293.38/42.79
% 293.38/42.79 [11043] CLOSURE : ~left_convergent_lines(L41_74_10, M42_74_10)
% 293.38/42.79
% 293.38/42.79 [9541] BETA_NOT_AND : ~(line(skolem_N7979) & line(skolem_N7979))
% 293.38/42.79 -> [9569] ~line(skolem_N7979)
% 293.38/42.79 -> [9570] ~line(skolem_N7979)
% 293.38/42.79
% 293.38/42.79 [9570] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.79 -> [9591] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.38/42.79
% 293.38/42.79 [9591] 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))))
% 293.38/42.79 -> [9593] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [9594] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79
% 293.38/42.79 [9593] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [9616] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79 -> [9617] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [9617] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [9616] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [9594] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [9603] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79 -> [9604] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [9603] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [9678] ~(left_apart_point(A39_245_9, L40_245_9) | left_apart_point(A39_245_9, reverse_line(L40_245_9)))
% 293.38/42.79
% 293.38/42.79 [9678] ALPHA_NOT_OR : ~(left_apart_point(A39_245_9, L40_245_9) | left_apart_point(A39_245_9, reverse_line(L40_245_9)))
% 293.38/42.79 -> [9680] ~left_apart_point(A39_245_9, L40_245_9), ~left_apart_point(A39_245_9, reverse_line(L40_245_9))
% 293.38/42.79
% 293.38/42.79 [9680] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.38/42.79 -> [9791] ~(left_convergent_lines(L41_64_10, M42_64_10) | left_convergent_lines(L41_64_10, reverse_line(M42_64_10)))
% 293.38/42.79
% 293.38/42.79 [9791] ALPHA_NOT_OR : ~(left_convergent_lines(L41_64_10, M42_64_10) | left_convergent_lines(L41_64_10, reverse_line(M42_64_10)))
% 293.38/42.79 -> [9795] ~left_convergent_lines(L41_64_10, M42_64_10), ~left_convergent_lines(L41_64_10, reverse_line(M42_64_10))
% 293.38/42.79
% 293.38/42.79 [9795] CLOSURE : ~left_convergent_lines(L41_64_10, M42_64_10)
% 293.38/42.79
% 293.38/42.79 [9604] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [9684] ~(left_apart_point(A39_246_9, L40_246_9) | left_apart_point(A39_246_9, reverse_line(L40_246_9)))
% 293.38/42.79
% 293.38/42.79 [9684] ALPHA_NOT_OR : ~(left_apart_point(A39_246_9, L40_246_9) | left_apart_point(A39_246_9, reverse_line(L40_246_9)))
% 293.38/42.79 -> [9685] ~left_apart_point(A39_246_9, L40_246_9), ~left_apart_point(A39_246_9, reverse_line(L40_246_9))
% 293.38/42.79
% 293.38/42.79 [9685] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.38/42.79 -> [9797] ~(left_convergent_lines(L41_65_10, M42_65_10) | left_convergent_lines(L41_65_10, reverse_line(M42_65_10)))
% 293.38/42.79
% 293.38/42.79 [9797] ALPHA_NOT_OR : ~(left_convergent_lines(L41_65_10, M42_65_10) | left_convergent_lines(L41_65_10, reverse_line(M42_65_10)))
% 293.38/42.79 -> [9801] ~left_convergent_lines(L41_65_10, M42_65_10), ~left_convergent_lines(L41_65_10, reverse_line(M42_65_10))
% 293.38/42.79
% 293.38/42.79 [9801] CLOSURE : ~left_convergent_lines(L41_65_10, M42_65_10)
% 293.38/42.79
% 293.38/42.79 [9569] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.79 -> [9606] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.38/42.79
% 293.38/42.79 [9606] 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))))
% 293.38/42.79 -> [9609] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [9610] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79
% 293.38/42.79 [9609] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [9627] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79 -> [9628] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [9628] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [9627] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [9610] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [9614] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79 -> [9615] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [9614] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [9693] ~(left_apart_point(A39_247_9, L40_247_9) | left_apart_point(A39_247_9, reverse_line(L40_247_9)))
% 293.38/42.79
% 293.38/42.79 [9693] ALPHA_NOT_OR : ~(left_apart_point(A39_247_9, L40_247_9) | left_apart_point(A39_247_9, reverse_line(L40_247_9)))
% 293.38/42.79 -> [9696] ~left_apart_point(A39_247_9, L40_247_9), ~left_apart_point(A39_247_9, reverse_line(L40_247_9))
% 293.38/42.79
% 293.38/42.79 [9696] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.38/42.79 -> [9813] ~(left_convergent_lines(L41_66_10, M42_66_10) | left_convergent_lines(L41_66_10, reverse_line(M42_66_10)))
% 293.38/42.79
% 293.38/42.79 [9813] ALPHA_NOT_OR : ~(left_convergent_lines(L41_66_10, M42_66_10) | left_convergent_lines(L41_66_10, reverse_line(M42_66_10)))
% 293.38/42.79 -> [9814] ~left_convergent_lines(L41_66_10, M42_66_10), ~left_convergent_lines(L41_66_10, reverse_line(M42_66_10))
% 293.38/42.79
% 293.38/42.79 [9814] CLOSURE : ~left_convergent_lines(L41_66_10, M42_66_10)
% 293.38/42.79
% 293.38/42.79 [9615] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [10922] ~(left_apart_point(A39_383_9, L40_383_9) | left_apart_point(A39_383_9, reverse_line(L40_383_9)))
% 293.38/42.79
% 293.38/42.79 [10922] ALPHA_NOT_OR : ~(left_apart_point(A39_383_9, L40_383_9) | left_apart_point(A39_383_9, reverse_line(L40_383_9)))
% 293.38/42.79 -> [10923] ~left_apart_point(A39_383_9, L40_383_9), ~left_apart_point(A39_383_9, reverse_line(L40_383_9))
% 293.38/42.79
% 293.38/42.79 [10923] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.38/42.79 -> [11383] ~(left_convergent_lines(L41_76_10, M42_76_10) | left_convergent_lines(L41_76_10, reverse_line(M42_76_10)))
% 293.38/42.79
% 293.38/42.79 [11383] ALPHA_NOT_OR : ~(left_convergent_lines(L41_76_10, M42_76_10) | left_convergent_lines(L41_76_10, reverse_line(M42_76_10)))
% 293.38/42.79 -> [11385] ~left_convergent_lines(L41_76_10, M42_76_10), ~left_convergent_lines(L41_76_10, reverse_line(M42_76_10))
% 293.38/42.79
% 293.38/42.79 [11385] CLOSURE : ~left_convergent_lines(L41_76_10, M42_76_10)
% 293.38/42.79
% 293.38/42.79 [238] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.38/42.79 -> [318] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.38/42.79 -> [319] ~~(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)))
% 293.38/42.79
% 293.38/42.79 [318] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.38/42.79 -> [350] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 293.38/42.79 -> [351] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.38/42.79
% 293.38/42.79 [351] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.38/42.79 -> [355] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.38/42.79
% 293.38/42.79 [355] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.38/42.79 -> [357] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.38/42.79 -> [358] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [358] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.38/42.79 -> [461] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.38/42.79
% 293.38/42.79 [461] 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))))
% 293.38/42.79 -> [1072] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.38/42.79
% 293.38/42.79 [1072] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.38/42.79 -> [1075] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.79 -> [1076] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.38/42.79
% 293.38/42.79 [1075] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.79
% 293.38/42.79 [1076] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.38/42.79 -> [1328] distinct_points(skolem_B8181, skolem_B8181)
% 293.38/42.79 -> [1329] distinct_points(skolem_A8080, skolem_B8181)
% 293.38/42.79
% 293.38/42.79 [1328] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.38/42.79
% 293.38/42.79 [1329] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.38/42.79 -> [1962] ~distinct_lines(M26_3_3, M26_3_3)
% 293.38/42.79
% 293.38/42.79 [1962] 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))))
% 293.38/42.79 -> [1984] (distinct_lines(M26_3_3, M26_3_3) => (distinct_lines(M26_3_3, M26_3_3) | distinct_lines(M26_3_3, M26_3_3)))
% 293.38/42.79
% 293.38/42.79 [1984] BETA_IMPLY : (distinct_lines(M26_3_3, M26_3_3) => (distinct_lines(M26_3_3, M26_3_3) | distinct_lines(M26_3_3, M26_3_3)))
% 293.38/42.79 -> [1985] ~distinct_lines(M26_3_3, M26_3_3)
% 293.38/42.79 -> [1986] (distinct_lines(M26_3_3, M26_3_3) | distinct_lines(M26_3_3, M26_3_3))
% 293.38/42.79
% 293.38/42.79 [1986] BETA_OR : (distinct_lines(M26_3_3, M26_3_3) | distinct_lines(M26_3_3, M26_3_3))
% 293.38/42.79 -> [1987] distinct_lines(M26_3_3, M26_3_3)
% 293.38/42.79 -> [1988] distinct_lines(M26_3_3, M26_3_3)
% 293.38/42.79
% 293.38/42.79 [1987] CLOSURE : distinct_lines(M26_3_3, M26_3_3)
% 293.38/42.79
% 293.38/42.79 [1988] CLOSURE : distinct_lines(M26_3_3, M26_3_3)
% 293.38/42.79
% 293.38/42.79 [1985] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.38/42.79 -> [2021] ~unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.38/42.79
% 293.38/42.79 [2021] 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))))
% 293.38/42.79 -> [2077] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.38/42.79
% 293.38/42.79 [2077] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.38/42.79 -> [2078] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.38/42.79 -> [2079] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.38/42.79
% 293.38/42.79 [2078] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.38/42.79
% 293.38/42.79 [2079] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.38/42.79 -> [7312] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.38/42.79 -> [7313] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.38/42.79
% 293.38/42.79 [7313] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.38/42.79
% 293.38/42.79 [7312] 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))))))
% 293.38/42.79 -> [10943] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_138_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_138_6))) | (unequally_directed_lines(skolem_N7979, N34_138_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_138_6)))))
% 293.38/42.79
% 293.38/42.79 [10943] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_138_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_138_6))) | (unequally_directed_lines(skolem_N7979, N34_138_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_138_6)))))
% 293.38/42.79 -> [10944] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.79 -> [10945] ((unequally_directed_lines(skolem_M7878, N34_138_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_138_6))) | (unequally_directed_lines(skolem_N7979, N34_138_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_138_6))))
% 293.38/42.79
% 293.38/42.79 [10944] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.79 -> [10975] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.79 -> [10976] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [10976] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [10975] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.79
% 293.38/42.79 [10945] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_138_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_138_6))) | (unequally_directed_lines(skolem_N7979, N34_138_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_138_6))))
% 293.38/42.79 -> [16804] (unequally_directed_lines(skolem_M7878, N34_138_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_138_6)))
% 293.38/42.79 -> [16805] (unequally_directed_lines(skolem_N7979, N34_138_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_138_6)))
% 293.38/42.79
% 293.38/42.79 [16804] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_138_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_138_6)))
% 293.38/42.79 -> [16930] unequally_directed_lines(skolem_M7878, N34_138_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_138_6))
% 293.38/42.79
% 293.38/42.79 [16930] 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)))))
% 293.38/42.79 -> [17814] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))))
% 293.38/42.79
% 293.38/42.79 [17814] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))))
% 293.38/42.79 -> [17815] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.38/42.79 -> [17816] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.38/42.79
% 293.38/42.79 [17816] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.38/42.79 -> [17819] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.38/42.79 -> [17820] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.38/42.79
% 293.38/42.79 [17819] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.38/42.79
% 293.38/42.79 [17820] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.79 -> [17962] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.38/42.79
% 293.38/42.79 [17962] 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))))
% 293.38/42.79 -> [17963] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [17964] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79
% 293.38/42.79 [17963] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [18019] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79 -> [18020] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [18020] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [18019] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [17964] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [17969] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79 -> [17970] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [17970] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [18166] ~(left_apart_point(A39_1178_9, L40_1178_9) | left_apart_point(A39_1178_9, reverse_line(L40_1178_9)))
% 293.38/42.79
% 293.38/42.79 [18166] ALPHA_NOT_OR : ~(left_apart_point(A39_1178_9, L40_1178_9) | left_apart_point(A39_1178_9, reverse_line(L40_1178_9)))
% 293.38/42.79 -> [18167] ~left_apart_point(A39_1178_9, L40_1178_9), ~left_apart_point(A39_1178_9, reverse_line(L40_1178_9))
% 293.38/42.79
% 293.38/42.79 [18167] CLOSURE : ~left_apart_point(A39_1178_9, L40_1178_9)
% 293.38/42.79
% 293.38/42.79 [17969] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [18223] ~(left_apart_point(A39_1190_9, L40_1190_9) | left_apart_point(A39_1190_9, reverse_line(L40_1190_9)))
% 293.38/42.79
% 293.38/42.79 [18223] ALPHA_NOT_OR : ~(left_apart_point(A39_1190_9, L40_1190_9) | left_apart_point(A39_1190_9, reverse_line(L40_1190_9)))
% 293.38/42.79 -> [18225] ~left_apart_point(A39_1190_9, L40_1190_9), ~left_apart_point(A39_1190_9, reverse_line(L40_1190_9))
% 293.38/42.79
% 293.38/42.79 [18225] CLOSURE : ~left_apart_point(A39_1190_9, L40_1190_9)
% 293.38/42.79
% 293.38/42.79 [17815] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.38/42.79 -> [17846] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.38/42.79 -> [17847] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.38/42.79
% 293.38/42.79 [17847] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.79 -> [17944] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.38/42.79
% 293.38/42.79 [17944] 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))))
% 293.38/42.79 -> [17947] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [17948] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79
% 293.38/42.79 [17948] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [17953] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79 -> [17954] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [17953] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [18208] ~(left_apart_point(A39_1187_9, L40_1187_9) | left_apart_point(A39_1187_9, reverse_line(L40_1187_9)))
% 293.38/42.79
% 293.38/42.79 [18208] ALPHA_NOT_OR : ~(left_apart_point(A39_1187_9, L40_1187_9) | left_apart_point(A39_1187_9, reverse_line(L40_1187_9)))
% 293.38/42.79 -> [18211] ~left_apart_point(A39_1187_9, L40_1187_9), ~left_apart_point(A39_1187_9, reverse_line(L40_1187_9))
% 293.38/42.79
% 293.38/42.79 [18211] CLOSURE : ~left_apart_point(A39_1187_9, L40_1187_9)
% 293.38/42.79
% 293.38/42.79 [17954] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [18218] ~(left_apart_point(A39_1189_9, L40_1189_9) | left_apart_point(A39_1189_9, reverse_line(L40_1189_9)))
% 293.38/42.79
% 293.38/42.79 [18218] ALPHA_NOT_OR : ~(left_apart_point(A39_1189_9, L40_1189_9) | left_apart_point(A39_1189_9, reverse_line(L40_1189_9)))
% 293.38/42.79 -> [18219] ~left_apart_point(A39_1189_9, L40_1189_9), ~left_apart_point(A39_1189_9, reverse_line(L40_1189_9))
% 293.38/42.79
% 293.38/42.79 [18219] CLOSURE : ~left_apart_point(A39_1189_9, L40_1189_9)
% 293.38/42.79
% 293.38/42.79 [17947] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [18007] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79 -> [18008] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [18008] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [18007] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [17846] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.79 -> [17989] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.38/42.79
% 293.38/42.79 [17989] 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))))
% 293.38/42.79 -> [17993] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [17994] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79
% 293.38/42.79 [17993] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [18046] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79 -> [18047] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [18046] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [18047] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [17994] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [17997] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79 -> [17998] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [17998] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [18197] ~(left_apart_point(A39_1185_9, L40_1185_9) | left_apart_point(A39_1185_9, reverse_line(L40_1185_9)))
% 293.38/42.79
% 293.38/42.79 [18197] ALPHA_NOT_OR : ~(left_apart_point(A39_1185_9, L40_1185_9) | left_apart_point(A39_1185_9, reverse_line(L40_1185_9)))
% 293.38/42.79 -> [18201] ~left_apart_point(A39_1185_9, L40_1185_9), ~left_apart_point(A39_1185_9, reverse_line(L40_1185_9))
% 293.38/42.79
% 293.38/42.79 [18201] CLOSURE : ~left_apart_point(A39_1185_9, L40_1185_9)
% 293.38/42.79
% 293.38/42.79 [17997] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [18231] ~(left_apart_point(A39_1192_9, L40_1192_9) | left_apart_point(A39_1192_9, reverse_line(L40_1192_9)))
% 293.38/42.79
% 293.38/42.79 [18231] ALPHA_NOT_OR : ~(left_apart_point(A39_1192_9, L40_1192_9) | left_apart_point(A39_1192_9, reverse_line(L40_1192_9)))
% 293.38/42.79 -> [18233] ~left_apart_point(A39_1192_9, L40_1192_9), ~left_apart_point(A39_1192_9, reverse_line(L40_1192_9))
% 293.38/42.79
% 293.38/42.79 [18233] CLOSURE : ~left_apart_point(A39_1192_9, L40_1192_9)
% 293.38/42.79
% 293.38/42.79 [16805] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_138_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_138_6)))
% 293.38/42.79 -> [16812] unequally_directed_lines(skolem_N7979, N34_138_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_138_6))
% 293.38/42.79
% 293.38/42.79 [16812] 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)))))
% 293.38/42.79 -> [17916] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))))
% 293.38/42.79
% 293.38/42.79 [17916] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))))
% 293.38/42.79 -> [17917] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.38/42.79 -> [17918] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.38/42.79
% 293.38/42.79 [17918] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.38/42.79 -> [17921] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.38/42.79 -> [17922] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.38/42.79
% 293.38/42.79 [17921] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.38/42.79
% 293.38/42.79 [17922] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.79 -> [18410] ((unequally_directed_lines(skolem_N7979, M38_638_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_638_8))) => (left_convergent_lines(skolem_N7979, M38_638_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_638_8))))
% 293.38/42.79
% 293.38/42.79 [18410] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_638_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_638_8))) => (left_convergent_lines(skolem_N7979, M38_638_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_638_8))))
% 293.38/42.79 -> [18411] ~(unequally_directed_lines(skolem_N7979, M38_638_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_638_8)))
% 293.38/42.79 -> [18412] (left_convergent_lines(skolem_N7979, M38_638_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_638_8)))
% 293.38/42.79
% 293.38/42.79 [18412] BETA_OR : (left_convergent_lines(skolem_N7979, M38_638_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_638_8)))
% 293.38/42.79 -> [18416] left_convergent_lines(skolem_N7979, M38_638_8)
% 293.38/42.79 -> [18417] left_convergent_lines(skolem_N7979, reverse_line(M38_638_8))
% 293.38/42.79
% 293.38/42.79 [18417] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [18519] ~(left_apart_point(A39_1231_9, L40_1231_9) | left_apart_point(A39_1231_9, reverse_line(L40_1231_9)))
% 293.38/42.79
% 293.38/42.79 [18519] ALPHA_NOT_OR : ~(left_apart_point(A39_1231_9, L40_1231_9) | left_apart_point(A39_1231_9, reverse_line(L40_1231_9)))
% 293.38/42.79 -> [18521] ~left_apart_point(A39_1231_9, L40_1231_9), ~left_apart_point(A39_1231_9, reverse_line(L40_1231_9))
% 293.38/42.79
% 293.38/42.79 [18521] CLOSURE : ~left_apart_point(A39_1231_9, L40_1231_9)
% 293.38/42.79
% 293.38/42.79 [18416] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [18558] ~(left_apart_point(A39_1235_9, L40_1235_9) | left_apart_point(A39_1235_9, reverse_line(L40_1235_9)))
% 293.38/42.79
% 293.38/42.79 [18558] ALPHA_NOT_OR : ~(left_apart_point(A39_1235_9, L40_1235_9) | left_apart_point(A39_1235_9, reverse_line(L40_1235_9)))
% 293.38/42.79 -> [18559] ~left_apart_point(A39_1235_9, L40_1235_9), ~left_apart_point(A39_1235_9, reverse_line(L40_1235_9))
% 293.38/42.79
% 293.38/42.79 [18559] CLOSURE : ~left_apart_point(A39_1235_9, L40_1235_9)
% 293.38/42.79
% 293.38/42.79 [18411] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_638_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_638_8)))
% 293.38/42.79 -> [18433] ~unequally_directed_lines(skolem_N7979, M38_638_8)
% 293.38/42.79 -> [18434] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_638_8))
% 293.38/42.79
% 293.38/42.79 [18434] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_638_8))
% 293.38/42.79
% 293.38/42.79 [18433] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_638_8)
% 293.38/42.79
% 293.38/42.79 [17917] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.38/42.79 -> [18003] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.38/42.79 -> [18004] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.38/42.79
% 293.38/42.79 [18003] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.79 -> [18945] ((unequally_directed_lines(skolem_N7979, M38_671_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_671_8))) => (left_convergent_lines(skolem_N7979, M38_671_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_671_8))))
% 293.38/42.79
% 293.38/42.79 [18945] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_671_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_671_8))) => (left_convergent_lines(skolem_N7979, M38_671_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_671_8))))
% 293.38/42.79 -> [18950] ~(unequally_directed_lines(skolem_N7979, M38_671_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_671_8)))
% 293.38/42.79 -> [18951] (left_convergent_lines(skolem_N7979, M38_671_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_671_8)))
% 293.38/42.79
% 293.38/42.79 [18951] BETA_OR : (left_convergent_lines(skolem_N7979, M38_671_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_671_8)))
% 293.38/42.79 -> [18958] left_convergent_lines(skolem_N7979, M38_671_8)
% 293.38/42.79 -> [18959] left_convergent_lines(skolem_N7979, reverse_line(M38_671_8))
% 293.38/42.79
% 293.38/42.79 [18959] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [19064] ~(left_apart_point(A39_1290_9, L40_1290_9) | left_apart_point(A39_1290_9, reverse_line(L40_1290_9)))
% 293.38/42.79
% 293.38/42.79 [19064] ALPHA_NOT_OR : ~(left_apart_point(A39_1290_9, L40_1290_9) | left_apart_point(A39_1290_9, reverse_line(L40_1290_9)))
% 293.38/42.79 -> [19065] ~left_apart_point(A39_1290_9, L40_1290_9), ~left_apart_point(A39_1290_9, reverse_line(L40_1290_9))
% 293.38/42.79
% 293.38/42.79 [19065] CLOSURE : ~left_apart_point(A39_1290_9, L40_1290_9)
% 293.38/42.79
% 293.38/42.79 [18958] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [19086] ~(left_apart_point(A39_1294_9, L40_1294_9) | left_apart_point(A39_1294_9, reverse_line(L40_1294_9)))
% 293.38/42.79
% 293.38/42.79 [19086] ALPHA_NOT_OR : ~(left_apart_point(A39_1294_9, L40_1294_9) | left_apart_point(A39_1294_9, reverse_line(L40_1294_9)))
% 293.38/42.79 -> [19089] ~left_apart_point(A39_1294_9, L40_1294_9), ~left_apart_point(A39_1294_9, reverse_line(L40_1294_9))
% 293.38/42.79
% 293.38/42.79 [19089] CLOSURE : ~left_apart_point(A39_1294_9, L40_1294_9)
% 293.38/42.79
% 293.38/42.79 [18950] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_671_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_671_8)))
% 293.38/42.79 -> [18976] ~unequally_directed_lines(skolem_N7979, M38_671_8)
% 293.38/42.79 -> [18977] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_671_8))
% 293.38/42.79
% 293.38/42.79 [18977] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_671_8))
% 293.38/42.79
% 293.38/42.79 [18976] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_671_8)
% 293.38/42.79
% 293.38/42.79 [18004] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.79 -> [18252] ((unequally_directed_lines(skolem_N7979, M38_631_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_631_8))) => (left_convergent_lines(skolem_N7979, M38_631_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_631_8))))
% 293.38/42.79
% 293.38/42.79 [18252] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_631_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_631_8))) => (left_convergent_lines(skolem_N7979, M38_631_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_631_8))))
% 293.38/42.79 -> [18254] ~(unequally_directed_lines(skolem_N7979, M38_631_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_631_8)))
% 293.38/42.79 -> [18255] (left_convergent_lines(skolem_N7979, M38_631_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_631_8)))
% 293.38/42.79
% 293.38/42.79 [18254] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_631_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_631_8)))
% 293.38/42.79 -> [18303] ~unequally_directed_lines(skolem_N7979, M38_631_8)
% 293.38/42.79 -> [18304] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_631_8))
% 293.38/42.79
% 293.38/42.79 [18304] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_631_8))
% 293.38/42.79
% 293.38/42.79 [18303] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_631_8)
% 293.38/42.79
% 293.38/42.79 [18255] BETA_OR : (left_convergent_lines(skolem_N7979, M38_631_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_631_8)))
% 293.38/42.79 -> [18257] left_convergent_lines(skolem_N7979, M38_631_8)
% 293.38/42.79 -> [18258] left_convergent_lines(skolem_N7979, reverse_line(M38_631_8))
% 293.38/42.79
% 293.38/42.79 [18257] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [18435] ~(left_apart_point(A39_1224_9, L40_1224_9) | left_apart_point(A39_1224_9, reverse_line(L40_1224_9)))
% 293.38/42.79
% 293.38/42.79 [18435] ALPHA_NOT_OR : ~(left_apart_point(A39_1224_9, L40_1224_9) | left_apart_point(A39_1224_9, reverse_line(L40_1224_9)))
% 293.38/42.79 -> [18436] ~left_apart_point(A39_1224_9, L40_1224_9), ~left_apart_point(A39_1224_9, reverse_line(L40_1224_9))
% 293.38/42.79
% 293.38/42.79 [18436] CLOSURE : ~left_apart_point(A39_1224_9, L40_1224_9)
% 293.38/42.79
% 293.38/42.79 [18258] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [19324] ~(left_apart_point(A39_1333_9, L40_1333_9) | left_apart_point(A39_1333_9, reverse_line(L40_1333_9)))
% 293.38/42.79
% 293.38/42.79 [19324] ALPHA_NOT_OR : ~(left_apart_point(A39_1333_9, L40_1333_9) | left_apart_point(A39_1333_9, reverse_line(L40_1333_9)))
% 293.38/42.79 -> [19325] ~left_apart_point(A39_1333_9, L40_1333_9), ~left_apart_point(A39_1333_9, reverse_line(L40_1333_9))
% 293.38/42.79
% 293.38/42.79 [19325] CLOSURE : ~left_apart_point(A39_1333_9, L40_1333_9)
% 293.38/42.79
% 293.38/42.79 [357] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.38/42.79 -> [741] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.38/42.79
% 293.38/42.79 [741] 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))))
% 293.38/42.79 -> [1187] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.38/42.79
% 293.38/42.79 [1187] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.38/42.79 -> [1190] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.79 -> [1191] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.38/42.79
% 293.38/42.79 [1190] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.79
% 293.38/42.79 [1191] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.38/42.79 -> [6083] distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.79 -> [6084] distinct_points(skolem_A8080, skolem_A8080)
% 293.38/42.79
% 293.38/42.79 [6084] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.38/42.79
% 293.38/42.79 [6083] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.38/42.79 -> [7110] ~distinct_lines(M26_230_3, M26_230_3)
% 293.38/42.79
% 293.38/42.79 [7110] 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))))
% 293.38/42.79 -> [7150] (distinct_lines(M26_230_3, M26_230_3) => (distinct_lines(M26_230_3, M26_230_3) | distinct_lines(M26_230_3, M26_230_3)))
% 293.38/42.79
% 293.38/42.79 [7150] BETA_IMPLY : (distinct_lines(M26_230_3, M26_230_3) => (distinct_lines(M26_230_3, M26_230_3) | distinct_lines(M26_230_3, M26_230_3)))
% 293.38/42.79 -> [7151] ~distinct_lines(M26_230_3, M26_230_3)
% 293.38/42.79 -> [7152] (distinct_lines(M26_230_3, M26_230_3) | distinct_lines(M26_230_3, M26_230_3))
% 293.38/42.79
% 293.38/42.79 [7152] BETA_OR : (distinct_lines(M26_230_3, M26_230_3) | distinct_lines(M26_230_3, M26_230_3))
% 293.38/42.79 -> [7155] distinct_lines(M26_230_3, M26_230_3)
% 293.38/42.79 -> [7156] distinct_lines(M26_230_3, M26_230_3)
% 293.38/42.79
% 293.38/42.79 [7155] CLOSURE : distinct_lines(M26_230_3, M26_230_3)
% 293.38/42.79
% 293.38/42.79 [7156] CLOSURE : distinct_lines(M26_230_3, M26_230_3)
% 293.38/42.79
% 293.38/42.79 [7151] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.38/42.79 -> [7226] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [7226] 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))))
% 293.38/42.79 -> [7319] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878)))
% 293.38/42.79
% 293.38/42.79 [7319] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878)))
% 293.38/42.79 -> [7321] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.38/42.79 -> [7322] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [7321] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.38/42.79
% 293.38/42.79 [7322] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878))
% 293.38/42.79 -> [9295] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.79 -> [9296] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [9295] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [9296] 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))))))
% 293.38/42.79 -> [18528] ((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)))))
% 293.38/42.79
% 293.38/42.79 [18528] 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)))))
% 293.38/42.79 -> [18532] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.79 -> [18533] ((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))))
% 293.38/42.79
% 293.38/42.79 [18532] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.79 -> [18562] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.79 -> [18563] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [18563] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [18562] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.79
% 293.38/42.79 [18533] 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))))
% 293.38/42.79 -> [20445] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [20446] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.79
% 293.38/42.79 [20445] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [20498] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [20498] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [20446] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [20449] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [20449] 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)))))
% 293.38/42.79 -> [20880] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.38/42.79
% 293.38/42.79 [20880] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.38/42.79 -> [20885] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.38/42.79 -> [20886] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.79
% 293.38/42.79 [20886] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [20890] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.79 -> [20891] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [20890] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [20891] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.79 -> [21294] ((unequally_directed_lines(skolem_N7979, M38_828_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_828_8))) => (left_convergent_lines(skolem_N7979, M38_828_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_828_8))))
% 293.38/42.79
% 293.38/42.79 [21294] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_828_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_828_8))) => (left_convergent_lines(skolem_N7979, M38_828_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_828_8))))
% 293.38/42.79 -> [21300] ~(unequally_directed_lines(skolem_N7979, M38_828_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_828_8)))
% 293.38/42.79 -> [21301] (left_convergent_lines(skolem_N7979, M38_828_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_828_8)))
% 293.38/42.79
% 293.38/42.79 [21300] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_828_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_828_8)))
% 293.38/42.79 -> [21996] ~unequally_directed_lines(skolem_N7979, M38_828_8)
% 293.38/42.79 -> [21997] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_828_8))
% 293.38/42.79
% 293.38/42.79 [21997] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_828_8))
% 293.38/42.79
% 293.38/42.79 [21996] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_828_8)
% 293.38/42.79
% 293.38/42.79 [21301] BETA_OR : (left_convergent_lines(skolem_N7979, M38_828_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_828_8)))
% 293.38/42.79 -> [21310] left_convergent_lines(skolem_N7979, M38_828_8)
% 293.38/42.79 -> [21311] left_convergent_lines(skolem_N7979, reverse_line(M38_828_8))
% 293.38/42.79
% 293.38/42.79 [21311] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [21735] ~(left_apart_point(A39_1633_9, L40_1633_9) | left_apart_point(A39_1633_9, reverse_line(L40_1633_9)))
% 293.38/42.79
% 293.38/42.79 [21735] ALPHA_NOT_OR : ~(left_apart_point(A39_1633_9, L40_1633_9) | left_apart_point(A39_1633_9, reverse_line(L40_1633_9)))
% 293.38/42.79 -> [21737] ~left_apart_point(A39_1633_9, L40_1633_9), ~left_apart_point(A39_1633_9, reverse_line(L40_1633_9))
% 293.38/42.79
% 293.38/42.79 [21737] CLOSURE : ~left_apart_point(A39_1633_9, L40_1633_9)
% 293.38/42.79
% 293.38/42.79 [21310] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [22156] ~(left_apart_point(A39_1694_9, L40_1694_9) | left_apart_point(A39_1694_9, reverse_line(L40_1694_9)))
% 293.38/42.79
% 293.38/42.79 [22156] ALPHA_NOT_OR : ~(left_apart_point(A39_1694_9, L40_1694_9) | left_apart_point(A39_1694_9, reverse_line(L40_1694_9)))
% 293.38/42.79 -> [22157] ~left_apart_point(A39_1694_9, L40_1694_9), ~left_apart_point(A39_1694_9, reverse_line(L40_1694_9))
% 293.38/42.79
% 293.38/42.79 [22157] CLOSURE : ~left_apart_point(A39_1694_9, L40_1694_9)
% 293.38/42.79
% 293.38/42.79 [20885] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.38/42.79 -> [20983] ~line(skolem_M7878)
% 293.38/42.79 -> [20984] ~line(skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [20983] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.79 -> [21379] ((unequally_directed_lines(skolem_N7979, M38_834_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_834_8))) => (left_convergent_lines(skolem_N7979, M38_834_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_834_8))))
% 293.38/42.79
% 293.38/42.79 [21379] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_834_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_834_8))) => (left_convergent_lines(skolem_N7979, M38_834_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_834_8))))
% 293.38/42.79 -> [21380] ~(unequally_directed_lines(skolem_N7979, M38_834_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_834_8)))
% 293.38/42.79 -> [21381] (left_convergent_lines(skolem_N7979, M38_834_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_834_8)))
% 293.38/42.79
% 293.38/42.79 [21380] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_834_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_834_8)))
% 293.38/42.79 -> [21513] ~unequally_directed_lines(skolem_N7979, M38_834_8)
% 293.38/42.79 -> [21514] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_834_8))
% 293.38/42.79
% 293.38/42.79 [21514] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_834_8))
% 293.38/42.79
% 293.38/42.79 [21513] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_834_8)
% 293.38/42.79
% 293.38/42.79 [21381] BETA_OR : (left_convergent_lines(skolem_N7979, M38_834_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_834_8)))
% 293.38/42.79 -> [21382] left_convergent_lines(skolem_N7979, M38_834_8)
% 293.38/42.79 -> [21383] left_convergent_lines(skolem_N7979, reverse_line(M38_834_8))
% 293.38/42.79
% 293.38/42.79 [21382] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [21878] ~(left_apart_point(A39_1663_9, L40_1663_9) | left_apart_point(A39_1663_9, reverse_line(L40_1663_9)))
% 293.38/42.79
% 293.38/42.79 [21878] ALPHA_NOT_OR : ~(left_apart_point(A39_1663_9, L40_1663_9) | left_apart_point(A39_1663_9, reverse_line(L40_1663_9)))
% 293.38/42.79 -> [21881] ~left_apart_point(A39_1663_9, L40_1663_9), ~left_apart_point(A39_1663_9, reverse_line(L40_1663_9))
% 293.38/42.79
% 293.38/42.79 [21881] CLOSURE : ~left_apart_point(A39_1663_9, L40_1663_9)
% 293.38/42.79
% 293.38/42.79 [21383] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [22380] ~(left_apart_point(A39_1733_9, L40_1733_9) | left_apart_point(A39_1733_9, reverse_line(L40_1733_9)))
% 293.38/42.79
% 293.38/42.79 [22380] ALPHA_NOT_OR : ~(left_apart_point(A39_1733_9, L40_1733_9) | left_apart_point(A39_1733_9, reverse_line(L40_1733_9)))
% 293.38/42.79 -> [22381] ~left_apart_point(A39_1733_9, L40_1733_9), ~left_apart_point(A39_1733_9, reverse_line(L40_1733_9))
% 293.38/42.79
% 293.38/42.79 [22381] CLOSURE : ~left_apart_point(A39_1733_9, L40_1733_9)
% 293.38/42.79
% 293.38/42.79 [20984] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.79 -> [21275] ((unequally_directed_lines(skolem_N7979, M38_824_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_824_8))) => (left_convergent_lines(skolem_N7979, M38_824_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_824_8))))
% 293.38/42.79
% 293.38/42.79 [21275] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_824_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_824_8))) => (left_convergent_lines(skolem_N7979, M38_824_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_824_8))))
% 293.38/42.79 -> [21279] ~(unequally_directed_lines(skolem_N7979, M38_824_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_824_8)))
% 293.38/42.79 -> [21280] (left_convergent_lines(skolem_N7979, M38_824_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_824_8)))
% 293.38/42.79
% 293.38/42.79 [21279] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_824_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_824_8)))
% 293.38/42.79 -> [21522] ~unequally_directed_lines(skolem_N7979, M38_824_8)
% 293.38/42.79 -> [21523] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_824_8))
% 293.38/42.79
% 293.38/42.79 [21523] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_824_8))
% 293.38/42.79
% 293.38/42.79 [21522] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_824_8)
% 293.38/42.79
% 293.38/42.79 [21280] BETA_OR : (left_convergent_lines(skolem_N7979, M38_824_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_824_8)))
% 293.38/42.79 -> [21285] left_convergent_lines(skolem_N7979, M38_824_8)
% 293.38/42.79 -> [21286] left_convergent_lines(skolem_N7979, reverse_line(M38_824_8))
% 293.38/42.79
% 293.38/42.79 [21286] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [22111] ~(left_apart_point(A39_1687_9, L40_1687_9) | left_apart_point(A39_1687_9, reverse_line(L40_1687_9)))
% 293.38/42.79
% 293.38/42.79 [22111] ALPHA_NOT_OR : ~(left_apart_point(A39_1687_9, L40_1687_9) | left_apart_point(A39_1687_9, reverse_line(L40_1687_9)))
% 293.38/42.79 -> [22115] ~left_apart_point(A39_1687_9, L40_1687_9), ~left_apart_point(A39_1687_9, reverse_line(L40_1687_9))
% 293.38/42.79
% 293.38/42.79 [22115] CLOSURE : ~left_apart_point(A39_1687_9, L40_1687_9)
% 293.38/42.79
% 293.38/42.79 [21285] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [24031] ~(left_apart_point(A39_1970_9, L40_1970_9) | left_apart_point(A39_1970_9, reverse_line(L40_1970_9)))
% 293.38/42.79
% 293.38/42.79 [24031] ALPHA_NOT_OR : ~(left_apart_point(A39_1970_9, L40_1970_9) | left_apart_point(A39_1970_9, reverse_line(L40_1970_9)))
% 293.38/42.79 -> [24062] ~left_apart_point(A39_1970_9, L40_1970_9), ~left_apart_point(A39_1970_9, reverse_line(L40_1970_9))
% 293.38/42.79
% 293.38/42.79 [24062] CLOSURE : ~left_apart_point(A39_1970_9, L40_1970_9)
% 293.38/42.79
% 293.38/42.79 [350] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.38/42.79 -> [1578] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.38/42.79
% 293.38/42.79 [1578] 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))))
% 293.38/42.79 -> [3488] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.38/42.79
% 293.38/42.79 [3488] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.38/42.79 -> [3489] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.79 -> [3490] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.38/42.79
% 293.38/42.79 [3489] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.79
% 293.38/42.79 [3490] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.38/42.79 -> [5337] distinct_points(skolem_B8181, skolem_B8181)
% 293.38/42.79 -> [5338] distinct_points(skolem_A8080, skolem_B8181)
% 293.38/42.79
% 293.38/42.79 [5337] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.38/42.79
% 293.38/42.79 [5338] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.38/42.79 -> [5949] ~distinct_lines(N27_187_3, N27_187_3)
% 293.38/42.79
% 293.38/42.79 [5949] 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))))
% 293.38/42.79 -> [6087] (distinct_lines(N27_187_3, N27_187_3) => (distinct_lines(N27_187_3, N27_187_3) | distinct_lines(N27_187_3, N27_187_3)))
% 293.38/42.79
% 293.38/42.79 [6087] BETA_IMPLY : (distinct_lines(N27_187_3, N27_187_3) => (distinct_lines(N27_187_3, N27_187_3) | distinct_lines(N27_187_3, N27_187_3)))
% 293.38/42.79 -> [6088] ~distinct_lines(N27_187_3, N27_187_3)
% 293.38/42.79 -> [6089] (distinct_lines(N27_187_3, N27_187_3) | distinct_lines(N27_187_3, N27_187_3))
% 293.38/42.79
% 293.38/42.79 [6089] BETA_OR : (distinct_lines(N27_187_3, N27_187_3) | distinct_lines(N27_187_3, N27_187_3))
% 293.38/42.79 -> [6094] distinct_lines(N27_187_3, N27_187_3)
% 293.38/42.79 -> [6095] distinct_lines(N27_187_3, N27_187_3)
% 293.38/42.79
% 293.38/42.79 [6094] CLOSURE : distinct_lines(N27_187_3, N27_187_3)
% 293.38/42.79
% 293.38/42.79 [6095] CLOSURE : distinct_lines(N27_187_3, N27_187_3)
% 293.38/42.79
% 293.38/42.79 [6088] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.38/42.79 -> [6314] ~unequally_directed_lines(skolem_L7777, skolem_L7777)
% 293.38/42.79
% 293.38/42.79 [6314] 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))))
% 293.38/42.79 -> [6540] (unequally_directed_lines(skolem_L7777, skolem_M7878) => (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_M7878, skolem_L7777)))
% 293.38/42.79
% 293.38/42.79 [6540] BETA_IMPLY : (unequally_directed_lines(skolem_L7777, skolem_M7878) => (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_M7878, skolem_L7777)))
% 293.38/42.79 -> [6541] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79 -> [6542] (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_M7878, skolem_L7777))
% 293.38/42.79
% 293.38/42.79 [6541] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [6542] BETA_OR : (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_M7878, skolem_L7777))
% 293.38/42.79 -> [12338] unequally_directed_lines(skolem_L7777, skolem_L7777)
% 293.38/42.79 -> [12339] unequally_directed_lines(skolem_M7878, skolem_L7777)
% 293.38/42.79
% 293.38/42.79 [12338] CLOSURE : unequally_directed_lines(skolem_L7777, skolem_L7777)
% 293.38/42.79
% 293.38/42.79 [12339] 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))))))
% 293.38/42.79 -> [20914] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_261_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_261_6))) | (unequally_directed_lines(skolem_N7979, N34_261_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_261_6)))))
% 293.38/42.79
% 293.38/42.79 [20914] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_261_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_261_6))) | (unequally_directed_lines(skolem_N7979, N34_261_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_261_6)))))
% 293.38/42.79 -> [20916] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.79 -> [20917] ((unequally_directed_lines(skolem_M7878, N34_261_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_261_6))) | (unequally_directed_lines(skolem_N7979, N34_261_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_261_6))))
% 293.38/42.79
% 293.38/42.79 [20916] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.79 -> [20937] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.79 -> [20938] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [20938] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [20937] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.79
% 293.38/42.79 [20917] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_261_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_261_6))) | (unequally_directed_lines(skolem_N7979, N34_261_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_261_6))))
% 293.38/42.79 -> [24274] (unequally_directed_lines(skolem_M7878, N34_261_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_261_6)))
% 293.38/42.79 -> [24275] (unequally_directed_lines(skolem_N7979, N34_261_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_261_6)))
% 293.38/42.79
% 293.38/42.79 [24274] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_261_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_261_6)))
% 293.38/42.79 -> [24287] unequally_directed_lines(skolem_M7878, N34_261_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_261_6))
% 293.38/42.79
% 293.38/42.79 [24287] 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)))))
% 293.38/42.79 -> [24364] ((line(skolem_L7777) & line(skolem_L7777)) => (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777))))
% 293.38/42.79
% 293.38/42.79 [24364] BETA_IMPLY : ((line(skolem_L7777) & line(skolem_L7777)) => (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777))))
% 293.38/42.79 -> [24369] ~(line(skolem_L7777) & line(skolem_L7777))
% 293.38/42.79 -> [24370] (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777)))
% 293.38/42.79
% 293.38/42.79 [24369] BETA_NOT_AND : ~(line(skolem_L7777) & line(skolem_L7777))
% 293.38/42.79 -> [24408] ~line(skolem_L7777)
% 293.38/42.79 -> [24409] ~line(skolem_L7777)
% 293.38/42.79
% 293.38/42.79 [24408] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.79 -> [24446] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.38/42.79
% 293.38/42.79 [24446] 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))))
% 293.38/42.79 -> [24447] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [24448] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79
% 293.38/42.79 [24447] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [24471] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79 -> [24472] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [24472] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [24471] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [24448] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [24458] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79 -> [24459] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [24458] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [24528] ~(left_apart_point(A39_2041_9, L40_2041_9) | left_apart_point(A39_2041_9, reverse_line(L40_2041_9)))
% 293.38/42.79
% 293.38/42.79 [24528] ALPHA_NOT_OR : ~(left_apart_point(A39_2041_9, L40_2041_9) | left_apart_point(A39_2041_9, reverse_line(L40_2041_9)))
% 293.38/42.79 -> [24532] ~left_apart_point(A39_2041_9, L40_2041_9), ~left_apart_point(A39_2041_9, reverse_line(L40_2041_9))
% 293.38/42.79
% 293.38/42.79 [24532] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.38/42.79 -> [24599] ~(left_convergent_lines(L41_232_10, M42_232_10) | left_convergent_lines(L41_232_10, reverse_line(M42_232_10)))
% 293.38/42.79
% 293.38/42.79 [24599] ALPHA_NOT_OR : ~(left_convergent_lines(L41_232_10, M42_232_10) | left_convergent_lines(L41_232_10, reverse_line(M42_232_10)))
% 293.38/42.79 -> [24606] ~left_convergent_lines(L41_232_10, M42_232_10), ~left_convergent_lines(L41_232_10, reverse_line(M42_232_10))
% 293.38/42.79
% 293.38/42.79 [24606] CLOSURE : ~left_convergent_lines(L41_232_10, M42_232_10)
% 293.38/42.79
% 293.38/42.79 [24459] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [24538] ~(left_apart_point(A39_2043_9, L40_2043_9) | left_apart_point(A39_2043_9, reverse_line(L40_2043_9)))
% 293.38/42.79
% 293.38/42.79 [24538] ALPHA_NOT_OR : ~(left_apart_point(A39_2043_9, L40_2043_9) | left_apart_point(A39_2043_9, reverse_line(L40_2043_9)))
% 293.38/42.79 -> [24546] ~left_apart_point(A39_2043_9, L40_2043_9), ~left_apart_point(A39_2043_9, reverse_line(L40_2043_9))
% 293.38/42.79
% 293.38/42.79 [24546] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.38/42.79 -> [24625] ~(left_convergent_lines(L41_233_10, M42_233_10) | left_convergent_lines(L41_233_10, reverse_line(M42_233_10)))
% 293.38/42.79
% 293.38/42.79 [24625] ALPHA_NOT_OR : ~(left_convergent_lines(L41_233_10, M42_233_10) | left_convergent_lines(L41_233_10, reverse_line(M42_233_10)))
% 293.38/42.79 -> [24629] ~left_convergent_lines(L41_233_10, M42_233_10), ~left_convergent_lines(L41_233_10, reverse_line(M42_233_10))
% 293.38/42.79
% 293.38/42.79 [24629] CLOSURE : ~left_convergent_lines(L41_233_10, M42_233_10)
% 293.38/42.79
% 293.38/42.79 [24409] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.79 -> [24571] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.38/42.79
% 293.38/42.79 [24571] 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))))
% 293.38/42.79 -> [24572] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [24573] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79
% 293.38/42.79 [24572] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [24602] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79 -> [24603] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [24603] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [24602] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [24573] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [24577] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79 -> [24578] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [24577] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [24674] ~(left_apart_point(A39_2058_9, L40_2058_9) | left_apart_point(A39_2058_9, reverse_line(L40_2058_9)))
% 293.38/42.79
% 293.38/42.79 [24674] ALPHA_NOT_OR : ~(left_apart_point(A39_2058_9, L40_2058_9) | left_apart_point(A39_2058_9, reverse_line(L40_2058_9)))
% 293.38/42.79 -> [24678] ~left_apart_point(A39_2058_9, L40_2058_9), ~left_apart_point(A39_2058_9, reverse_line(L40_2058_9))
% 293.38/42.79
% 293.38/42.79 [24678] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.38/42.79 -> [24806] ~(left_convergent_lines(L41_235_10, M42_235_10) | left_convergent_lines(L41_235_10, reverse_line(M42_235_10)))
% 293.38/42.79
% 293.38/42.79 [24806] ALPHA_NOT_OR : ~(left_convergent_lines(L41_235_10, M42_235_10) | left_convergent_lines(L41_235_10, reverse_line(M42_235_10)))
% 293.38/42.79 -> [24809] ~left_convergent_lines(L41_235_10, M42_235_10), ~left_convergent_lines(L41_235_10, reverse_line(M42_235_10))
% 293.38/42.79
% 293.38/42.79 [24809] CLOSURE : ~left_convergent_lines(L41_235_10, M42_235_10)
% 293.38/42.79
% 293.38/42.79 [24578] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [24681] ~(left_apart_point(A39_2059_9, L40_2059_9) | left_apart_point(A39_2059_9, reverse_line(L40_2059_9)))
% 293.38/42.79
% 293.38/42.79 [24681] ALPHA_NOT_OR : ~(left_apart_point(A39_2059_9, L40_2059_9) | left_apart_point(A39_2059_9, reverse_line(L40_2059_9)))
% 293.38/42.79 -> [24682] ~left_apart_point(A39_2059_9, L40_2059_9), ~left_apart_point(A39_2059_9, reverse_line(L40_2059_9))
% 293.38/42.79
% 293.38/42.79 [24682] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.38/42.79 -> [24814] ~(left_convergent_lines(L41_236_10, M42_236_10) | left_convergent_lines(L41_236_10, reverse_line(M42_236_10)))
% 293.38/42.79
% 293.38/42.79 [24814] ALPHA_NOT_OR : ~(left_convergent_lines(L41_236_10, M42_236_10) | left_convergent_lines(L41_236_10, reverse_line(M42_236_10)))
% 293.38/42.79 -> [24817] ~left_convergent_lines(L41_236_10, M42_236_10), ~left_convergent_lines(L41_236_10, reverse_line(M42_236_10))
% 293.38/42.79
% 293.38/42.79 [24817] CLOSURE : ~left_convergent_lines(L41_236_10, M42_236_10)
% 293.38/42.79
% 293.38/42.79 [24370] BETA_OR : (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777)))
% 293.38/42.79 -> [24374] unequally_directed_lines(skolem_L7777, skolem_L7777)
% 293.38/42.79 -> [24375] unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777))
% 293.38/42.79
% 293.38/42.79 [24374] CLOSURE : unequally_directed_lines(skolem_L7777, skolem_L7777)
% 293.38/42.79
% 293.38/42.79 [24375] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.79 -> [24477] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.38/42.79
% 293.38/42.79 [24477] 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))))
% 293.38/42.79 -> [24480] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [24481] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79
% 293.38/42.79 [24481] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [24492] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79 -> [24493] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [24493] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [24700] ~(left_apart_point(A39_2063_9, L40_2063_9) | left_apart_point(A39_2063_9, reverse_line(L40_2063_9)))
% 293.38/42.79
% 293.38/42.79 [24700] ALPHA_NOT_OR : ~(left_apart_point(A39_2063_9, L40_2063_9) | left_apart_point(A39_2063_9, reverse_line(L40_2063_9)))
% 293.38/42.79 -> [24702] ~left_apart_point(A39_2063_9, L40_2063_9), ~left_apart_point(A39_2063_9, reverse_line(L40_2063_9))
% 293.38/42.79
% 293.38/42.79 [24702] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.38/42.79 -> [24848] ~(left_convergent_lines(L41_237_10, M42_237_10) | left_convergent_lines(L41_237_10, reverse_line(M42_237_10)))
% 293.38/42.79
% 293.38/42.79 [24848] ALPHA_NOT_OR : ~(left_convergent_lines(L41_237_10, M42_237_10) | left_convergent_lines(L41_237_10, reverse_line(M42_237_10)))
% 293.38/42.79 -> [24850] ~left_convergent_lines(L41_237_10, M42_237_10), ~left_convergent_lines(L41_237_10, reverse_line(M42_237_10))
% 293.38/42.79
% 293.38/42.79 [24850] CLOSURE : ~left_convergent_lines(L41_237_10, M42_237_10)
% 293.38/42.79
% 293.38/42.79 [24492] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [24693] ~(left_apart_point(A39_2062_9, L40_2062_9) | left_apart_point(A39_2062_9, reverse_line(L40_2062_9)))
% 293.38/42.79
% 293.38/42.79 [24693] ALPHA_NOT_OR : ~(left_apart_point(A39_2062_9, L40_2062_9) | left_apart_point(A39_2062_9, reverse_line(L40_2062_9)))
% 293.38/42.79 -> [24694] ~left_apart_point(A39_2062_9, L40_2062_9), ~left_apart_point(A39_2062_9, reverse_line(L40_2062_9))
% 293.38/42.79
% 293.38/42.79 [24694] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.38/42.79 -> [24934] ~(left_convergent_lines(L41_239_10, M42_239_10) | left_convergent_lines(L41_239_10, reverse_line(M42_239_10)))
% 293.38/42.79
% 293.38/42.79 [24934] ALPHA_NOT_OR : ~(left_convergent_lines(L41_239_10, M42_239_10) | left_convergent_lines(L41_239_10, reverse_line(M42_239_10)))
% 293.38/42.79 -> [24940] ~left_convergent_lines(L41_239_10, M42_239_10), ~left_convergent_lines(L41_239_10, reverse_line(M42_239_10))
% 293.38/42.79
% 293.38/42.79 [24940] CLOSURE : ~left_convergent_lines(L41_239_10, M42_239_10)
% 293.38/42.79
% 293.38/42.79 [24480] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [24530] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79 -> [24531] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [24531] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [24530] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [24275] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_261_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_261_6)))
% 293.38/42.79 -> [24278] unequally_directed_lines(skolem_N7979, N34_261_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_261_6))
% 293.38/42.79
% 293.38/42.79 [24278] 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)))))
% 293.38/42.79 -> [24383] ((line(skolem_L7777) & line(skolem_L7777)) => (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777))))
% 293.38/42.79
% 293.38/42.79 [24383] BETA_IMPLY : ((line(skolem_L7777) & line(skolem_L7777)) => (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777))))
% 293.38/42.79 -> [24388] ~(line(skolem_L7777) & line(skolem_L7777))
% 293.38/42.79 -> [24389] (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777)))
% 293.38/42.79
% 293.38/42.79 [24389] BETA_OR : (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777)))
% 293.38/42.79 -> [24395] unequally_directed_lines(skolem_L7777, skolem_L7777)
% 293.38/42.79 -> [24396] unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777))
% 293.38/42.79
% 293.38/42.79 [24395] CLOSURE : unequally_directed_lines(skolem_L7777, skolem_L7777)
% 293.38/42.79
% 293.38/42.79 [24396] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.79 -> [24618] ((unequally_directed_lines(skolem_N7979, M38_1048_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1048_8))) => (left_convergent_lines(skolem_N7979, M38_1048_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1048_8))))
% 293.38/42.79
% 293.38/42.79 [24618] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1048_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1048_8))) => (left_convergent_lines(skolem_N7979, M38_1048_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1048_8))))
% 293.38/42.79 -> [24620] ~(unequally_directed_lines(skolem_N7979, M38_1048_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1048_8)))
% 293.38/42.79 -> [24621] (left_convergent_lines(skolem_N7979, M38_1048_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1048_8)))
% 293.38/42.79
% 293.38/42.79 [24620] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1048_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1048_8)))
% 293.38/42.79 -> [24669] ~unequally_directed_lines(skolem_N7979, M38_1048_8)
% 293.38/42.79 -> [24670] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1048_8))
% 293.38/42.79
% 293.38/42.79 [24669] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1048_8)
% 293.38/42.79
% 293.38/42.79 [24670] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1048_8))
% 293.38/42.79
% 293.38/42.79 [24621] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1048_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1048_8)))
% 293.38/42.79 -> [24623] left_convergent_lines(skolem_N7979, M38_1048_8)
% 293.38/42.79 -> [24624] left_convergent_lines(skolem_N7979, reverse_line(M38_1048_8))
% 293.38/42.79
% 293.38/42.79 [24624] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [24751] ~(left_apart_point(A39_2077_9, L40_2077_9) | left_apart_point(A39_2077_9, reverse_line(L40_2077_9)))
% 293.38/42.79
% 293.38/42.79 [24751] ALPHA_NOT_OR : ~(left_apart_point(A39_2077_9, L40_2077_9) | left_apart_point(A39_2077_9, reverse_line(L40_2077_9)))
% 293.38/42.79 -> [24755] ~left_apart_point(A39_2077_9, L40_2077_9), ~left_apart_point(A39_2077_9, reverse_line(L40_2077_9))
% 293.38/42.79
% 293.38/42.79 [24755] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.38/42.79 -> [24948] ~(left_convergent_lines(L41_240_10, M42_240_10) | left_convergent_lines(L41_240_10, reverse_line(M42_240_10)))
% 293.38/42.79
% 293.38/42.79 [24948] ALPHA_NOT_OR : ~(left_convergent_lines(L41_240_10, M42_240_10) | left_convergent_lines(L41_240_10, reverse_line(M42_240_10)))
% 293.38/42.79 -> [24951] ~left_convergent_lines(L41_240_10, M42_240_10), ~left_convergent_lines(L41_240_10, reverse_line(M42_240_10))
% 293.38/42.79
% 293.38/42.79 [24951] CLOSURE : ~left_convergent_lines(L41_240_10, M42_240_10)
% 293.38/42.79
% 293.38/42.79 [24623] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [24782] ~(left_apart_point(A39_2084_9, L40_2084_9) | left_apart_point(A39_2084_9, reverse_line(L40_2084_9)))
% 293.38/42.79
% 293.38/42.79 [24782] ALPHA_NOT_OR : ~(left_apart_point(A39_2084_9, L40_2084_9) | left_apart_point(A39_2084_9, reverse_line(L40_2084_9)))
% 293.38/42.79 -> [24785] ~left_apart_point(A39_2084_9, L40_2084_9), ~left_apart_point(A39_2084_9, reverse_line(L40_2084_9))
% 293.38/42.79
% 293.38/42.79 [24785] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.38/42.79 -> [25998] ~(left_convergent_lines(L41_244_10, M42_244_10) | left_convergent_lines(L41_244_10, reverse_line(M42_244_10)))
% 293.38/42.79
% 293.38/42.79 [25998] ALPHA_NOT_OR : ~(left_convergent_lines(L41_244_10, M42_244_10) | left_convergent_lines(L41_244_10, reverse_line(M42_244_10)))
% 293.38/42.79 -> [26001] ~left_convergent_lines(L41_244_10, M42_244_10), ~left_convergent_lines(L41_244_10, reverse_line(M42_244_10))
% 293.38/42.79
% 293.38/42.79 [26001] CLOSURE : ~left_convergent_lines(L41_244_10, M42_244_10)
% 293.38/42.79
% 293.38/42.79 [24388] BETA_NOT_AND : ~(line(skolem_L7777) & line(skolem_L7777))
% 293.38/42.79 -> [24418] ~line(skolem_L7777)
% 293.38/42.79 -> [24419] ~line(skolem_L7777)
% 293.38/42.79
% 293.38/42.79 [24418] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.79 -> [24594] ((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))))
% 293.38/42.79
% 293.38/42.79 [24594] 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))))
% 293.38/42.79 -> [24595] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.79 -> [24596] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.79
% 293.38/42.79 [24595] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.79 -> [24650] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.79 -> [24651] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [24650] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.79
% 293.38/42.79 [24651] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [24596] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.79 -> [24600] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.38/42.79 -> [24601] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [24601] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [24875] ~(left_apart_point(A39_2100_9, L40_2100_9) | left_apart_point(A39_2100_9, reverse_line(L40_2100_9)))
% 293.38/42.79
% 293.38/42.79 [24875] ALPHA_NOT_OR : ~(left_apart_point(A39_2100_9, L40_2100_9) | left_apart_point(A39_2100_9, reverse_line(L40_2100_9)))
% 293.38/42.79 -> [24882] ~left_apart_point(A39_2100_9, L40_2100_9), ~left_apart_point(A39_2100_9, reverse_line(L40_2100_9))
% 293.38/42.79
% 293.38/42.79 [24882] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.38/42.79 -> [24969] ~(left_convergent_lines(L41_241_10, M42_241_10) | left_convergent_lines(L41_241_10, reverse_line(M42_241_10)))
% 293.38/42.79
% 293.38/42.79 [24969] ALPHA_NOT_OR : ~(left_convergent_lines(L41_241_10, M42_241_10) | left_convergent_lines(L41_241_10, reverse_line(M42_241_10)))
% 293.38/42.79 -> [24970] ~left_convergent_lines(L41_241_10, M42_241_10), ~left_convergent_lines(L41_241_10, reverse_line(M42_241_10))
% 293.38/42.79
% 293.38/42.79 [24970] CLOSURE : ~left_convergent_lines(L41_241_10, M42_241_10)
% 293.38/42.79
% 293.38/42.79 [24600] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [24952] ~(left_apart_point(A39_2111_9, L40_2111_9) | left_apart_point(A39_2111_9, reverse_line(L40_2111_9)))
% 293.38/42.79
% 293.38/42.79 [24952] ALPHA_NOT_OR : ~(left_apart_point(A39_2111_9, L40_2111_9) | left_apart_point(A39_2111_9, reverse_line(L40_2111_9)))
% 293.38/42.79 -> [24953] ~left_apart_point(A39_2111_9, L40_2111_9), ~left_apart_point(A39_2111_9, reverse_line(L40_2111_9))
% 293.38/42.79
% 293.38/42.79 [24953] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.38/42.79 -> [25773] ~(left_convergent_lines(L41_243_10, M42_243_10) | left_convergent_lines(L41_243_10, reverse_line(M42_243_10)))
% 293.38/42.79
% 293.38/42.79 [25773] ALPHA_NOT_OR : ~(left_convergent_lines(L41_243_10, M42_243_10) | left_convergent_lines(L41_243_10, reverse_line(M42_243_10)))
% 293.38/42.79 -> [25778] ~left_convergent_lines(L41_243_10, M42_243_10), ~left_convergent_lines(L41_243_10, reverse_line(M42_243_10))
% 293.38/42.79
% 293.38/42.79 [25778] CLOSURE : ~left_convergent_lines(L41_243_10, M42_243_10)
% 293.38/42.79
% 293.38/42.79 [24419] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.79 -> [24604] ((unequally_directed_lines(skolem_N7979, M38_1047_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1047_8))) => (left_convergent_lines(skolem_N7979, M38_1047_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1047_8))))
% 293.38/42.79
% 293.38/42.79 [24604] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1047_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1047_8))) => (left_convergent_lines(skolem_N7979, M38_1047_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1047_8))))
% 293.38/42.79 -> [24607] ~(unequally_directed_lines(skolem_N7979, M38_1047_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1047_8)))
% 293.38/42.79 -> [24608] (left_convergent_lines(skolem_N7979, M38_1047_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1047_8)))
% 293.38/42.79
% 293.38/42.79 [24607] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1047_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1047_8)))
% 293.38/42.79 -> [24661] ~unequally_directed_lines(skolem_N7979, M38_1047_8)
% 293.38/42.79 -> [24662] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1047_8))
% 293.38/42.79
% 293.38/42.79 [24662] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1047_8))
% 293.38/42.79
% 293.38/42.79 [24661] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1047_8)
% 293.38/42.79
% 293.38/42.79 [24608] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1047_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1047_8)))
% 293.38/42.79 -> [24610] left_convergent_lines(skolem_N7979, M38_1047_8)
% 293.38/42.79 -> [24611] left_convergent_lines(skolem_N7979, reverse_line(M38_1047_8))
% 293.38/42.79
% 293.38/42.79 [24611] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [25492] ~(left_apart_point(A39_2178_9, L40_2178_9) | left_apart_point(A39_2178_9, reverse_line(L40_2178_9)))
% 293.38/42.79
% 293.38/42.79 [25492] ALPHA_NOT_OR : ~(left_apart_point(A39_2178_9, L40_2178_9) | left_apart_point(A39_2178_9, reverse_line(L40_2178_9)))
% 293.38/42.79 -> [25496] ~left_apart_point(A39_2178_9, L40_2178_9), ~left_apart_point(A39_2178_9, reverse_line(L40_2178_9))
% 293.38/42.79
% 293.38/42.79 [25496] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.38/42.79 -> [25515] ~(left_convergent_lines(L41_242_10, M42_242_10) | left_convergent_lines(L41_242_10, reverse_line(M42_242_10)))
% 293.38/42.79
% 293.38/42.79 [25515] ALPHA_NOT_OR : ~(left_convergent_lines(L41_242_10, M42_242_10) | left_convergent_lines(L41_242_10, reverse_line(M42_242_10)))
% 293.38/42.79 -> [25517] ~left_convergent_lines(L41_242_10, M42_242_10), ~left_convergent_lines(L41_242_10, reverse_line(M42_242_10))
% 293.38/42.79
% 293.38/42.79 [25517] CLOSURE : ~left_convergent_lines(L41_242_10, M42_242_10)
% 293.38/42.79
% 293.38/42.79 [24610] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [25942] ~(left_apart_point(A39_2254_9, L40_2254_9) | left_apart_point(A39_2254_9, reverse_line(L40_2254_9)))
% 293.38/42.79
% 293.38/42.79 [25942] ALPHA_NOT_OR : ~(left_apart_point(A39_2254_9, L40_2254_9) | left_apart_point(A39_2254_9, reverse_line(L40_2254_9)))
% 293.38/42.79 -> [25943] ~left_apart_point(A39_2254_9, L40_2254_9), ~left_apart_point(A39_2254_9, reverse_line(L40_2254_9))
% 293.38/42.79
% 293.38/42.79 [25943] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.38/42.79 -> [26196] ~(left_convergent_lines(L41_247_10, M42_247_10) | left_convergent_lines(L41_247_10, reverse_line(M42_247_10)))
% 293.38/42.79
% 293.38/42.79 [26196] ALPHA_NOT_OR : ~(left_convergent_lines(L41_247_10, M42_247_10) | left_convergent_lines(L41_247_10, reverse_line(M42_247_10)))
% 293.38/42.79 -> [26197] ~left_convergent_lines(L41_247_10, M42_247_10), ~left_convergent_lines(L41_247_10, reverse_line(M42_247_10))
% 293.38/42.79
% 293.38/42.79 [26197] CLOSURE : ~left_convergent_lines(L41_247_10, M42_247_10)
% 293.38/42.79
% 293.38/42.79 [319] 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)))
% 293.38/42.79 -> [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)))
% 293.38/42.79
% 293.38/42.79 [326] 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)))
% 293.38/42.79 -> [330] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 293.38/42.79 -> [331] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [331] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.38/42.79 -> [509] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.38/42.79
% 293.38/42.79 [509] 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))))
% 293.38/42.79 -> [689] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.38/42.79
% 293.38/42.79 [689] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.38/42.79 -> [694] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.79 -> [695] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.38/42.79
% 293.38/42.79 [694] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.79
% 293.38/42.79 [695] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.38/42.79 -> [6557] distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.79 -> [6558] distinct_points(skolem_A8080, skolem_A8080)
% 293.38/42.79
% 293.38/42.79 [6558] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.38/42.79
% 293.38/42.79 [6557] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.38/42.79 -> [7962] ~distinct_lines(N27_252_3, N27_252_3)
% 293.38/42.79
% 293.38/42.79 [7962] 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))))
% 293.38/42.79 -> [8044] (distinct_lines(N27_252_3, N27_252_3) => (distinct_lines(N27_252_3, N27_252_3) | distinct_lines(N27_252_3, N27_252_3)))
% 293.38/42.79
% 293.38/42.79 [8044] BETA_IMPLY : (distinct_lines(N27_252_3, N27_252_3) => (distinct_lines(N27_252_3, N27_252_3) | distinct_lines(N27_252_3, N27_252_3)))
% 293.38/42.79 -> [8045] ~distinct_lines(N27_252_3, N27_252_3)
% 293.38/42.79 -> [8046] (distinct_lines(N27_252_3, N27_252_3) | distinct_lines(N27_252_3, N27_252_3))
% 293.38/42.79
% 293.38/42.79 [8046] BETA_OR : (distinct_lines(N27_252_3, N27_252_3) | distinct_lines(N27_252_3, N27_252_3))
% 293.38/42.79 -> [8051] distinct_lines(N27_252_3, N27_252_3)
% 293.38/42.79 -> [8052] distinct_lines(N27_252_3, N27_252_3)
% 293.38/42.79
% 293.38/42.79 [8051] CLOSURE : distinct_lines(N27_252_3, N27_252_3)
% 293.38/42.79
% 293.38/42.79 [8052] CLOSURE : distinct_lines(N27_252_3, N27_252_3)
% 293.38/42.79
% 293.38/42.79 [8045] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.38/42.79 -> [8830] ~unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.38/42.79
% 293.38/42.79 [8830] 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))))
% 293.38/42.79 -> [8975] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.38/42.79
% 293.38/42.79 [8975] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.38/42.79 -> [8978] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.38/42.79 -> [8979] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.38/42.79
% 293.38/42.79 [8978] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.38/42.79
% 293.38/42.79 [8979] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.38/42.79 -> [14152] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.38/42.79 -> [14153] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.38/42.79
% 293.38/42.79 [14153] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.38/42.79
% 293.38/42.79 [14152] 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))))))
% 293.38/42.79 -> [14363] ((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))))))
% 293.38/42.79
% 293.38/42.79 [14363] 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))))))
% 293.38/42.79 -> [14365] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [14366] ((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)))))
% 293.38/42.79
% 293.38/42.79 [14365] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [14387] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79 -> [14388] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [14387] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [14388] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [14366] 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)))))
% 293.38/42.79 -> [14721] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))
% 293.38/42.79 -> [14722] (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))
% 293.38/42.79
% 293.38/42.79 [14721] 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))))
% 293.38/42.79 -> [14733] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)), unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.38/42.79
% 293.38/42.79 [14733] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 293.38/42.79
% 293.38/42.79 [14722] 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))))
% 293.38/42.79 -> [14729] unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080)), unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.38/42.79
% 293.38/42.79 [14729] 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)))))
% 293.38/42.79 -> [14745] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))))
% 293.38/42.79
% 293.38/42.79 [14745] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))))
% 293.38/42.79 -> [14746] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.38/42.79 -> [14747] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.38/42.79
% 293.38/42.79 [14747] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.38/42.79 -> [14750] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.38/42.79 -> [14751] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.38/42.79
% 293.38/42.79 [14750] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.38/42.79
% 293.38/42.79 [14751] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.79 -> [14799] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.38/42.79
% 293.38/42.79 [14799] 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))))
% 293.38/42.79 -> [14800] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [14801] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79
% 293.38/42.79 [14801] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [14807] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79 -> [14808] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [14808] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [14910] ~(left_apart_point(A39_810_9, L40_810_9) | left_apart_point(A39_810_9, reverse_line(L40_810_9)))
% 293.38/42.79
% 293.38/42.79 [14910] ALPHA_NOT_OR : ~(left_apart_point(A39_810_9, L40_810_9) | left_apart_point(A39_810_9, reverse_line(L40_810_9)))
% 293.38/42.79 -> [14914] ~left_apart_point(A39_810_9, L40_810_9), ~left_apart_point(A39_810_9, reverse_line(L40_810_9))
% 293.38/42.79
% 293.38/42.79 [14914] CLOSURE : ~left_apart_point(A39_810_9, L40_810_9)
% 293.38/42.79
% 293.38/42.79 [14807] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [14941] ~(left_apart_point(A39_815_9, L40_815_9) | left_apart_point(A39_815_9, reverse_line(L40_815_9)))
% 293.38/42.79
% 293.38/42.79 [14941] ALPHA_NOT_OR : ~(left_apart_point(A39_815_9, L40_815_9) | left_apart_point(A39_815_9, reverse_line(L40_815_9)))
% 293.38/42.79 -> [14942] ~left_apart_point(A39_815_9, L40_815_9), ~left_apart_point(A39_815_9, reverse_line(L40_815_9))
% 293.38/42.79
% 293.38/42.79 [14942] CLOSURE : ~left_apart_point(A39_815_9, L40_815_9)
% 293.38/42.79
% 293.38/42.79 [14800] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [14827] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79 -> [14828] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [14828] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [14827] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [14746] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.38/42.79 -> [14761] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.38/42.79 -> [14762] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.38/42.79
% 293.38/42.79 [14762] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.79 -> [14785] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.38/42.79
% 293.38/42.79 [14785] 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))))
% 293.38/42.79 -> [14790] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [14791] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79
% 293.38/42.79 [14791] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [14792] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79 -> [14793] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [14793] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [14901] ~(left_apart_point(A39_808_9, L40_808_9) | left_apart_point(A39_808_9, reverse_line(L40_808_9)))
% 293.38/42.79
% 293.38/42.79 [14901] ALPHA_NOT_OR : ~(left_apart_point(A39_808_9, L40_808_9) | left_apart_point(A39_808_9, reverse_line(L40_808_9)))
% 293.38/42.79 -> [14902] ~left_apart_point(A39_808_9, L40_808_9), ~left_apart_point(A39_808_9, reverse_line(L40_808_9))
% 293.38/42.79
% 293.38/42.79 [14902] CLOSURE : ~left_apart_point(A39_808_9, L40_808_9)
% 293.38/42.79
% 293.38/42.79 [14792] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [14932] ~(left_apart_point(A39_813_9, L40_813_9) | left_apart_point(A39_813_9, reverse_line(L40_813_9)))
% 293.38/42.79
% 293.38/42.79 [14932] ALPHA_NOT_OR : ~(left_apart_point(A39_813_9, L40_813_9) | left_apart_point(A39_813_9, reverse_line(L40_813_9)))
% 293.38/42.79 -> [14933] ~left_apart_point(A39_813_9, L40_813_9), ~left_apart_point(A39_813_9, reverse_line(L40_813_9))
% 293.38/42.79
% 293.38/42.79 [14933] CLOSURE : ~left_apart_point(A39_813_9, L40_813_9)
% 293.38/42.79
% 293.38/42.79 [14790] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [14819] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79 -> [14820] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [14820] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [14819] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [14761] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.79 -> [14834] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.38/42.79
% 293.38/42.79 [14834] 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))))
% 293.38/42.79 -> [14836] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [14837] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79
% 293.38/42.79 [14837] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [14840] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79 -> [14841] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [14841] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [14947] ~(left_apart_point(A39_817_9, L40_817_9) | left_apart_point(A39_817_9, reverse_line(L40_817_9)))
% 293.38/42.79
% 293.38/42.79 [14947] ALPHA_NOT_OR : ~(left_apart_point(A39_817_9, L40_817_9) | left_apart_point(A39_817_9, reverse_line(L40_817_9)))
% 293.38/42.79 -> [14949] ~left_apart_point(A39_817_9, L40_817_9), ~left_apart_point(A39_817_9, reverse_line(L40_817_9))
% 293.38/42.79
% 293.38/42.79 [14949] CLOSURE : ~left_apart_point(A39_817_9, L40_817_9)
% 293.38/42.79
% 293.38/42.79 [14840] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [14979] ~(left_apart_point(A39_825_9, L40_825_9) | left_apart_point(A39_825_9, reverse_line(L40_825_9)))
% 293.38/42.79
% 293.38/42.79 [14979] ALPHA_NOT_OR : ~(left_apart_point(A39_825_9, L40_825_9) | left_apart_point(A39_825_9, reverse_line(L40_825_9)))
% 293.38/42.79 -> [14981] ~left_apart_point(A39_825_9, L40_825_9), ~left_apart_point(A39_825_9, reverse_line(L40_825_9))
% 293.38/42.79
% 293.38/42.79 [14981] CLOSURE : ~left_apart_point(A39_825_9, L40_825_9)
% 293.38/42.79
% 293.38/42.79 [14836] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [14862] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79 -> [14863] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [14862] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [14863] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [330] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.38/42.79 -> [523] ~distinct_points(C23_63_1, C23_63_1)
% 293.38/42.79
% 293.38/42.79 [523] 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))))
% 293.38/42.79 -> [1192] (distinct_points(C23_63_1, C23_63_1) => (distinct_points(C23_63_1, C23_63_1) | distinct_points(C23_63_1, C23_63_1)))
% 293.38/42.79
% 293.38/42.79 [1192] BETA_IMPLY : (distinct_points(C23_63_1, C23_63_1) => (distinct_points(C23_63_1, C23_63_1) | distinct_points(C23_63_1, C23_63_1)))
% 293.38/42.79 -> [1193] ~distinct_points(C23_63_1, C23_63_1)
% 293.38/42.79 -> [1194] (distinct_points(C23_63_1, C23_63_1) | distinct_points(C23_63_1, C23_63_1))
% 293.38/42.79
% 293.38/42.79 [1194] BETA_OR : (distinct_points(C23_63_1, C23_63_1) | distinct_points(C23_63_1, C23_63_1))
% 293.38/42.79 -> [1199] distinct_points(C23_63_1, C23_63_1)
% 293.38/42.79 -> [1200] distinct_points(C23_63_1, C23_63_1)
% 293.38/42.79
% 293.38/42.79 [1200] CLOSURE : distinct_points(C23_63_1, C23_63_1)
% 293.38/42.79
% 293.38/42.79 [1199] CLOSURE : distinct_points(C23_63_1, C23_63_1)
% 293.38/42.79
% 293.38/42.79 [1193] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.38/42.79 -> [5629] ~distinct_lines(N27_169_3, N27_169_3)
% 293.38/42.79
% 293.38/42.79 [5629] 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))))
% 293.38/42.79 -> [5768] (distinct_lines(N27_169_3, N27_169_3) => (distinct_lines(N27_169_3, N27_169_3) | distinct_lines(N27_169_3, N27_169_3)))
% 293.38/42.79
% 293.38/42.79 [5768] BETA_IMPLY : (distinct_lines(N27_169_3, N27_169_3) => (distinct_lines(N27_169_3, N27_169_3) | distinct_lines(N27_169_3, N27_169_3)))
% 293.38/42.79 -> [5771] ~distinct_lines(N27_169_3, N27_169_3)
% 293.38/42.79 -> [5772] (distinct_lines(N27_169_3, N27_169_3) | distinct_lines(N27_169_3, N27_169_3))
% 293.38/42.79
% 293.38/42.79 [5772] BETA_OR : (distinct_lines(N27_169_3, N27_169_3) | distinct_lines(N27_169_3, N27_169_3))
% 293.38/42.79 -> [5775] distinct_lines(N27_169_3, N27_169_3)
% 293.38/42.79 -> [5776] distinct_lines(N27_169_3, N27_169_3)
% 293.38/42.79
% 293.38/42.79 [5776] CLOSURE : distinct_lines(N27_169_3, N27_169_3)
% 293.38/42.79
% 293.38/42.79 [5775] CLOSURE : distinct_lines(N27_169_3, N27_169_3)
% 293.38/42.79
% 293.38/42.79 [5771] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.38/42.79 -> [5962] ~unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.38/42.79
% 293.38/42.79 [5962] 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))))
% 293.38/42.79 -> [6184] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.38/42.79
% 293.38/42.79 [6184] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.38/42.79 -> [6186] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.38/42.79 -> [6187] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.38/42.79
% 293.38/42.79 [6186] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.38/42.79
% 293.38/42.79 [6187] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.38/42.79 -> [9905] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.38/42.79 -> [9906] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.38/42.79
% 293.38/42.79 [9906] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.38/42.79
% 293.38/42.79 [9905] 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))))))
% 293.38/42.79 -> [15547] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_214_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_214_6))) | (unequally_directed_lines(skolem_N7979, N34_214_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_214_6)))))
% 293.38/42.79
% 293.38/42.79 [15547] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_214_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_214_6))) | (unequally_directed_lines(skolem_N7979, N34_214_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_214_6)))))
% 293.38/42.79 -> [15548] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.79 -> [15549] ((unequally_directed_lines(skolem_M7878, N34_214_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_214_6))) | (unequally_directed_lines(skolem_N7979, N34_214_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_214_6))))
% 293.38/42.79
% 293.38/42.79 [15548] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.79 -> [15695] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.79 -> [15696] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [15696] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [15695] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.79
% 293.38/42.79 [15549] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_214_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_214_6))) | (unequally_directed_lines(skolem_N7979, N34_214_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_214_6))))
% 293.38/42.79 -> [20624] (unequally_directed_lines(skolem_M7878, N34_214_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_214_6)))
% 293.38/42.79 -> [20625] (unequally_directed_lines(skolem_N7979, N34_214_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_214_6)))
% 293.38/42.79
% 293.38/42.79 [20624] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_214_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_214_6)))
% 293.38/42.79 -> [20636] unequally_directed_lines(skolem_M7878, N34_214_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_214_6))
% 293.38/42.79
% 293.38/42.79 [20636] 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)))))
% 293.38/42.79 -> [20711] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))))
% 293.38/42.79
% 293.38/42.79 [20711] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))))
% 293.38/42.79 -> [20714] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.38/42.79 -> [20715] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.38/42.79
% 293.38/42.79 [20714] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.38/42.79 -> [20764] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.38/42.79 -> [20765] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.38/42.79
% 293.38/42.79 [20765] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.79 -> [20986] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.38/42.79
% 293.38/42.79 [20986] 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))))
% 293.38/42.79 -> [20988] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [20989] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79
% 293.38/42.79 [20989] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [20991] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79 -> [20992] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [20992] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [21345] ~(left_apart_point(A39_1566_9, L40_1566_9) | left_apart_point(A39_1566_9, reverse_line(L40_1566_9)))
% 293.38/42.79
% 293.38/42.79 [21345] ALPHA_NOT_OR : ~(left_apart_point(A39_1566_9, L40_1566_9) | left_apart_point(A39_1566_9, reverse_line(L40_1566_9)))
% 293.38/42.79 -> [21346] ~left_apart_point(A39_1566_9, L40_1566_9), ~left_apart_point(A39_1566_9, reverse_line(L40_1566_9))
% 293.38/42.79
% 293.38/42.79 [21346] CLOSURE : ~left_apart_point(A39_1566_9, L40_1566_9)
% 293.38/42.79
% 293.38/42.79 [20991] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [21460] ~(left_apart_point(A39_1590_9, L40_1590_9) | left_apart_point(A39_1590_9, reverse_line(L40_1590_9)))
% 293.38/42.79
% 293.38/42.79 [21460] ALPHA_NOT_OR : ~(left_apart_point(A39_1590_9, L40_1590_9) | left_apart_point(A39_1590_9, reverse_line(L40_1590_9)))
% 293.38/42.79 -> [21461] ~left_apart_point(A39_1590_9, L40_1590_9), ~left_apart_point(A39_1590_9, reverse_line(L40_1590_9))
% 293.38/42.79
% 293.38/42.79 [21461] CLOSURE : ~left_apart_point(A39_1590_9, L40_1590_9)
% 293.38/42.79
% 293.38/42.79 [20988] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [21086] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79 -> [21087] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [21087] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [21086] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [20764] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.79 -> [21079] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.38/42.79
% 293.38/42.79 [21079] 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))))
% 293.38/42.79 -> [21080] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [21081] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79
% 293.38/42.79 [21081] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [21084] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79 -> [21085] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [21084] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [21565] ~(left_apart_point(A39_1605_9, L40_1605_9) | left_apart_point(A39_1605_9, reverse_line(L40_1605_9)))
% 293.38/42.79
% 293.38/42.79 [21565] ALPHA_NOT_OR : ~(left_apart_point(A39_1605_9, L40_1605_9) | left_apart_point(A39_1605_9, reverse_line(L40_1605_9)))
% 293.38/42.79 -> [21571] ~left_apart_point(A39_1605_9, L40_1605_9), ~left_apart_point(A39_1605_9, reverse_line(L40_1605_9))
% 293.38/42.79
% 293.38/42.79 [21571] CLOSURE : ~left_apart_point(A39_1605_9, L40_1605_9)
% 293.38/42.79
% 293.38/42.79 [21085] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [21450] ~(left_apart_point(A39_1588_9, L40_1588_9) | left_apart_point(A39_1588_9, reverse_line(L40_1588_9)))
% 293.38/42.79
% 293.38/42.79 [21450] ALPHA_NOT_OR : ~(left_apart_point(A39_1588_9, L40_1588_9) | left_apart_point(A39_1588_9, reverse_line(L40_1588_9)))
% 293.38/42.79 -> [21451] ~left_apart_point(A39_1588_9, L40_1588_9), ~left_apart_point(A39_1588_9, reverse_line(L40_1588_9))
% 293.38/42.79
% 293.38/42.79 [21451] CLOSURE : ~left_apart_point(A39_1588_9, L40_1588_9)
% 293.38/42.79
% 293.38/42.79 [21080] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [21164] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79 -> [21165] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [21165] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [21164] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [20715] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.38/42.79 -> [20716] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.38/42.79 -> [20717] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.38/42.79
% 293.38/42.79 [20716] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.38/42.79
% 293.38/42.79 [20717] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.79 -> [21475] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.38/42.79
% 293.38/42.79 [21475] 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))))
% 293.38/42.79 -> [21477] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [21478] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79
% 293.38/42.79 [21478] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [21485] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79 -> [21486] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [21486] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [21695] ~(left_apart_point(A39_1625_9, L40_1625_9) | left_apart_point(A39_1625_9, reverse_line(L40_1625_9)))
% 293.38/42.79
% 293.38/42.79 [21695] ALPHA_NOT_OR : ~(left_apart_point(A39_1625_9, L40_1625_9) | left_apart_point(A39_1625_9, reverse_line(L40_1625_9)))
% 293.38/42.79 -> [21697] ~left_apart_point(A39_1625_9, L40_1625_9), ~left_apart_point(A39_1625_9, reverse_line(L40_1625_9))
% 293.38/42.79
% 293.38/42.79 [21697] CLOSURE : ~left_apart_point(A39_1625_9, L40_1625_9)
% 293.38/42.79
% 293.38/42.79 [21485] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [21687] ~(left_apart_point(A39_1624_9, L40_1624_9) | left_apart_point(A39_1624_9, reverse_line(L40_1624_9)))
% 293.38/42.79
% 293.38/42.79 [21687] ALPHA_NOT_OR : ~(left_apart_point(A39_1624_9, L40_1624_9) | left_apart_point(A39_1624_9, reverse_line(L40_1624_9)))
% 293.38/42.79 -> [21690] ~left_apart_point(A39_1624_9, L40_1624_9), ~left_apart_point(A39_1624_9, reverse_line(L40_1624_9))
% 293.38/42.79
% 293.38/42.79 [21690] CLOSURE : ~left_apart_point(A39_1624_9, L40_1624_9)
% 293.38/42.79
% 293.38/42.79 [21477] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [21527] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79 -> [21528] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [21528] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [21527] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [20625] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_214_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_214_6)))
% 293.38/42.79 -> [20633] unequally_directed_lines(skolem_N7979, N34_214_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_214_6))
% 293.38/42.79
% 293.38/42.79 [20633] 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)))))
% 293.38/42.79 -> [20727] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))))
% 293.38/42.79
% 293.38/42.79 [20727] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))))
% 293.38/42.79 -> [20730] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.38/42.79 -> [20731] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.38/42.79
% 293.38/42.79 [20731] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.38/42.79 -> [20737] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.38/42.79 -> [20738] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.38/42.79
% 293.38/42.79 [20737] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.38/42.79
% 293.38/42.79 [20738] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.79 -> [21009] ((unequally_directed_lines(skolem_N7979, M38_798_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_798_8))) => (left_convergent_lines(skolem_N7979, M38_798_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_798_8))))
% 293.38/42.79
% 293.38/42.79 [21009] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_798_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_798_8))) => (left_convergent_lines(skolem_N7979, M38_798_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_798_8))))
% 293.38/42.79 -> [21010] ~(unequally_directed_lines(skolem_N7979, M38_798_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_798_8)))
% 293.38/42.79 -> [21011] (left_convergent_lines(skolem_N7979, M38_798_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_798_8)))
% 293.38/42.79
% 293.38/42.79 [21011] BETA_OR : (left_convergent_lines(skolem_N7979, M38_798_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_798_8)))
% 293.38/42.79 -> [21014] left_convergent_lines(skolem_N7979, M38_798_8)
% 293.38/42.79 -> [21015] left_convergent_lines(skolem_N7979, reverse_line(M38_798_8))
% 293.38/42.79
% 293.38/42.79 [21014] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [21489] ~(left_apart_point(A39_1595_9, L40_1595_9) | left_apart_point(A39_1595_9, reverse_line(L40_1595_9)))
% 293.38/42.79
% 293.38/42.79 [21489] ALPHA_NOT_OR : ~(left_apart_point(A39_1595_9, L40_1595_9) | left_apart_point(A39_1595_9, reverse_line(L40_1595_9)))
% 293.38/42.79 -> [21490] ~left_apart_point(A39_1595_9, L40_1595_9), ~left_apart_point(A39_1595_9, reverse_line(L40_1595_9))
% 293.38/42.79
% 293.38/42.79 [21490] CLOSURE : ~left_apart_point(A39_1595_9, L40_1595_9)
% 293.38/42.79
% 293.38/42.79 [21015] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [21494] ~(left_apart_point(A39_1596_9, L40_1596_9) | left_apart_point(A39_1596_9, reverse_line(L40_1596_9)))
% 293.38/42.79
% 293.38/42.79 [21494] ALPHA_NOT_OR : ~(left_apart_point(A39_1596_9, L40_1596_9) | left_apart_point(A39_1596_9, reverse_line(L40_1596_9)))
% 293.38/42.79 -> [21495] ~left_apart_point(A39_1596_9, L40_1596_9), ~left_apart_point(A39_1596_9, reverse_line(L40_1596_9))
% 293.38/42.79
% 293.38/42.79 [21495] CLOSURE : ~left_apart_point(A39_1596_9, L40_1596_9)
% 293.38/42.79
% 293.38/42.79 [21010] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_798_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_798_8)))
% 293.38/42.79 -> [21108] ~unequally_directed_lines(skolem_N7979, M38_798_8)
% 293.38/42.79 -> [21109] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_798_8))
% 293.38/42.79
% 293.38/42.79 [21109] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_798_8))
% 293.38/42.79
% 293.38/42.79 [21108] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_798_8)
% 293.38/42.79
% 293.38/42.79 [20730] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.38/42.79 -> [20773] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.38/42.79 -> [20774] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.38/42.79
% 293.38/42.79 [20774] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.79 -> [20997] ((unequally_directed_lines(skolem_N7979, M38_796_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_796_8))) => (left_convergent_lines(skolem_N7979, M38_796_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_796_8))))
% 293.38/42.79
% 293.38/42.79 [20997] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_796_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_796_8))) => (left_convergent_lines(skolem_N7979, M38_796_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_796_8))))
% 293.38/42.79 -> [21000] ~(unequally_directed_lines(skolem_N7979, M38_796_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_796_8)))
% 293.38/42.79 -> [21001] (left_convergent_lines(skolem_N7979, M38_796_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_796_8)))
% 293.38/42.79
% 293.38/42.79 [21001] BETA_OR : (left_convergent_lines(skolem_N7979, M38_796_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_796_8)))
% 293.38/42.79 -> [21005] left_convergent_lines(skolem_N7979, M38_796_8)
% 293.38/42.79 -> [21006] left_convergent_lines(skolem_N7979, reverse_line(M38_796_8))
% 293.38/42.79
% 293.38/42.79 [21006] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [21375] ~(left_apart_point(A39_1570_9, L40_1570_9) | left_apart_point(A39_1570_9, reverse_line(L40_1570_9)))
% 293.38/42.79
% 293.38/42.79 [21375] ALPHA_NOT_OR : ~(left_apart_point(A39_1570_9, L40_1570_9) | left_apart_point(A39_1570_9, reverse_line(L40_1570_9)))
% 293.38/42.79 -> [21377] ~left_apart_point(A39_1570_9, L40_1570_9), ~left_apart_point(A39_1570_9, reverse_line(L40_1570_9))
% 293.38/42.79
% 293.38/42.79 [21377] CLOSURE : ~left_apart_point(A39_1570_9, L40_1570_9)
% 293.38/42.79
% 293.38/42.79 [21005] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [21481] ~(left_apart_point(A39_1593_9, L40_1593_9) | left_apart_point(A39_1593_9, reverse_line(L40_1593_9)))
% 293.38/42.79
% 293.38/42.79 [21481] ALPHA_NOT_OR : ~(left_apart_point(A39_1593_9, L40_1593_9) | left_apart_point(A39_1593_9, reverse_line(L40_1593_9)))
% 293.38/42.79 -> [21483] ~left_apart_point(A39_1593_9, L40_1593_9), ~left_apart_point(A39_1593_9, reverse_line(L40_1593_9))
% 293.38/42.79
% 293.38/42.79 [21483] CLOSURE : ~left_apart_point(A39_1593_9, L40_1593_9)
% 293.38/42.79
% 293.38/42.79 [21000] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_796_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_796_8)))
% 293.38/42.79 -> [21101] ~unequally_directed_lines(skolem_N7979, M38_796_8)
% 293.38/42.79 -> [21102] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_796_8))
% 293.38/42.79
% 293.38/42.79 [21102] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_796_8))
% 293.38/42.79
% 293.38/42.79 [21101] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_796_8)
% 293.38/42.79
% 293.38/42.79 [20773] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.79 -> [21090] ((unequally_directed_lines(skolem_N7979, M38_805_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_805_8))) => (left_convergent_lines(skolem_N7979, M38_805_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_805_8))))
% 293.38/42.79
% 293.38/42.79 [21090] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_805_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_805_8))) => (left_convergent_lines(skolem_N7979, M38_805_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_805_8))))
% 293.38/42.79 -> [21091] ~(unequally_directed_lines(skolem_N7979, M38_805_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_805_8)))
% 293.38/42.79 -> [21092] (left_convergent_lines(skolem_N7979, M38_805_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_805_8)))
% 293.38/42.79
% 293.38/42.79 [21091] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_805_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_805_8)))
% 293.38/42.79 -> [21188] ~unequally_directed_lines(skolem_N7979, M38_805_8)
% 293.38/42.79 -> [21189] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_805_8))
% 293.38/42.79
% 293.38/42.79 [21188] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_805_8)
% 293.38/42.79
% 293.38/42.79 [21189] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_805_8))
% 293.38/42.79
% 293.38/42.79 [21092] BETA_OR : (left_convergent_lines(skolem_N7979, M38_805_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_805_8)))
% 293.38/42.79 -> [21093] left_convergent_lines(skolem_N7979, M38_805_8)
% 293.38/42.79 -> [21094] left_convergent_lines(skolem_N7979, reverse_line(M38_805_8))
% 293.38/42.79
% 293.38/42.79 [21094] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [21469] ~(left_apart_point(A39_1592_9, L40_1592_9) | left_apart_point(A39_1592_9, reverse_line(L40_1592_9)))
% 293.38/42.79
% 293.38/42.79 [21469] ALPHA_NOT_OR : ~(left_apart_point(A39_1592_9, L40_1592_9) | left_apart_point(A39_1592_9, reverse_line(L40_1592_9)))
% 293.38/42.79 -> [21474] ~left_apart_point(A39_1592_9, L40_1592_9), ~left_apart_point(A39_1592_9, reverse_line(L40_1592_9))
% 293.38/42.79
% 293.38/42.79 [21474] CLOSURE : ~left_apart_point(A39_1592_9, L40_1592_9)
% 293.38/42.79
% 293.38/42.79 [21093] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [22154] ~(left_apart_point(A39_1693_9, L40_1693_9) | left_apart_point(A39_1693_9, reverse_line(L40_1693_9)))
% 293.38/42.79
% 293.38/42.79 [22154] ALPHA_NOT_OR : ~(left_apart_point(A39_1693_9, L40_1693_9) | left_apart_point(A39_1693_9, reverse_line(L40_1693_9)))
% 293.38/42.79 -> [22155] ~left_apart_point(A39_1693_9, L40_1693_9), ~left_apart_point(A39_1693_9, reverse_line(L40_1693_9))
% 293.38/42.79
% 293.38/42.79 [22155] CLOSURE : ~left_apart_point(A39_1693_9, L40_1693_9)
% 293.38/42.79
% 293.38/42.79 [142] BETA_NOT_AND : ~(((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 293.38/42.79 -> [172] ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.38/42.79 -> [173] ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.38/42.79
% 293.38/42.79 [173] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.38/42.79 -> [184] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.38/42.79
% 293.38/42.79 [184] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.38/42.79 -> [634] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.38/42.79 -> [635] ~~(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)))
% 293.38/42.79
% 293.38/42.79 [634] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.38/42.79 -> [776] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))
% 293.38/42.79 -> [777] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.38/42.79
% 293.38/42.79 [777] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.38/42.79 -> [780] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.38/42.79
% 293.38/42.79 [780] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.38/42.79 -> [783] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.38/42.79 -> [784] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [784] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.38/42.79 -> [1640] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.38/42.79
% 293.38/42.79 [1640] 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))))
% 293.38/42.79 -> [3471] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.38/42.79
% 293.38/42.79 [3471] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.38/42.79 -> [3472] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.79 -> [3473] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.38/42.79
% 293.38/42.79 [3472] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.79
% 293.38/42.79 [3473] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.38/42.79 -> [6330] distinct_points(skolem_B8181, skolem_B8181)
% 293.38/42.79 -> [6331] distinct_points(skolem_A8080, skolem_B8181)
% 293.38/42.79
% 293.38/42.79 [6330] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.38/42.79
% 293.38/42.79 [6331] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.38/42.79 -> [7550] ~distinct_lines(N27_245_3, N27_245_3)
% 293.38/42.79
% 293.38/42.79 [7550] 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))))
% 293.38/42.79 -> [7649] (distinct_lines(N27_245_3, N27_245_3) => (distinct_lines(N27_245_3, N27_245_3) | distinct_lines(N27_245_3, N27_245_3)))
% 293.38/42.79
% 293.38/42.79 [7649] BETA_IMPLY : (distinct_lines(N27_245_3, N27_245_3) => (distinct_lines(N27_245_3, N27_245_3) | distinct_lines(N27_245_3, N27_245_3)))
% 293.38/42.79 -> [7650] ~distinct_lines(N27_245_3, N27_245_3)
% 293.38/42.79 -> [7651] (distinct_lines(N27_245_3, N27_245_3) | distinct_lines(N27_245_3, N27_245_3))
% 293.38/42.79
% 293.38/42.79 [7651] BETA_OR : (distinct_lines(N27_245_3, N27_245_3) | distinct_lines(N27_245_3, N27_245_3))
% 293.38/42.79 -> [7653] distinct_lines(N27_245_3, N27_245_3)
% 293.38/42.79 -> [7654] distinct_lines(N27_245_3, N27_245_3)
% 293.38/42.79
% 293.38/42.79 [7654] CLOSURE : distinct_lines(N27_245_3, N27_245_3)
% 293.38/42.79
% 293.38/42.79 [7653] CLOSURE : distinct_lines(N27_245_3, N27_245_3)
% 293.38/42.79
% 293.38/42.79 [7650] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.38/42.79 -> [7801] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [7801] 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))))
% 293.38/42.79 -> [7888] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878)))
% 293.38/42.79
% 293.38/42.79 [7888] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878)))
% 293.38/42.79 -> [7890] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.38/42.79 -> [7891] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [7890] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.38/42.79
% 293.38/42.79 [7891] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878))
% 293.38/42.79 -> [13192] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.79 -> [13193] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [13192] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [13193] 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))))))
% 293.38/42.79 -> [13266] ((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)))))
% 293.38/42.79
% 293.38/42.79 [13266] 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)))))
% 293.38/42.79 -> [13267] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.79 -> [13268] ((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))))
% 293.38/42.79
% 293.38/42.79 [13267] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.79 -> [13278] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.79 -> [13279] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [13279] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [13278] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.79
% 293.38/42.79 [13268] 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))))
% 293.38/42.79 -> [13339] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [13340] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.79
% 293.38/42.79 [13339] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [13344] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [13344] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [13340] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [13341] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [13341] 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)))))
% 293.38/42.79 -> [13388] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.38/42.79
% 293.38/42.79 [13388] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.38/42.79 -> [13392] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.38/42.79 -> [13393] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.79
% 293.38/42.79 [13392] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.38/42.79 -> [13399] ~line(skolem_M7878)
% 293.38/42.79 -> [13400] ~line(skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [13399] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.79 -> [13509] ((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))))
% 293.38/42.79
% 293.38/42.79 [13509] 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))))
% 293.38/42.79 -> [13515] ~(unequally_directed_lines(skolem_N7979, M38_336_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_336_8)))
% 293.38/42.79 -> [13516] (left_convergent_lines(skolem_N7979, M38_336_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_336_8)))
% 293.38/42.79
% 293.38/42.79 [13516] BETA_OR : (left_convergent_lines(skolem_N7979, M38_336_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_336_8)))
% 293.38/42.79 -> [13522] left_convergent_lines(skolem_N7979, M38_336_8)
% 293.38/42.79 -> [13523] left_convergent_lines(skolem_N7979, reverse_line(M38_336_8))
% 293.38/42.79
% 293.38/42.79 [13523] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [13581] ~(left_apart_point(A39_636_9, L40_636_9) | left_apart_point(A39_636_9, reverse_line(L40_636_9)))
% 293.38/42.79
% 293.38/42.79 [13581] ALPHA_NOT_OR : ~(left_apart_point(A39_636_9, L40_636_9) | left_apart_point(A39_636_9, reverse_line(L40_636_9)))
% 293.38/42.79 -> [13587] ~left_apart_point(A39_636_9, L40_636_9), ~left_apart_point(A39_636_9, reverse_line(L40_636_9))
% 293.38/42.79
% 293.38/42.79 [13587] CLOSURE : ~left_apart_point(A39_636_9, L40_636_9)
% 293.38/42.79
% 293.38/42.79 [13522] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [13598] ~(left_apart_point(A39_637_9, L40_637_9) | left_apart_point(A39_637_9, reverse_line(L40_637_9)))
% 293.38/42.79
% 293.38/42.79 [13598] ALPHA_NOT_OR : ~(left_apart_point(A39_637_9, L40_637_9) | left_apart_point(A39_637_9, reverse_line(L40_637_9)))
% 293.38/42.79 -> [13603] ~left_apart_point(A39_637_9, L40_637_9), ~left_apart_point(A39_637_9, reverse_line(L40_637_9))
% 293.38/42.79
% 293.38/42.79 [13603] CLOSURE : ~left_apart_point(A39_637_9, L40_637_9)
% 293.38/42.79
% 293.38/42.79 [13515] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_336_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_336_8)))
% 293.38/42.79 -> [13534] ~unequally_directed_lines(skolem_N7979, M38_336_8)
% 293.38/42.79 -> [13535] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_336_8))
% 293.38/42.79
% 293.38/42.79 [13534] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_336_8)
% 293.38/42.79
% 293.38/42.79 [13535] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_336_8))
% 293.38/42.79
% 293.38/42.79 [13400] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.79 -> [13421] ((unequally_directed_lines(skolem_N7979, M38_328_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_328_8))) => (left_convergent_lines(skolem_N7979, M38_328_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_328_8))))
% 293.38/42.79
% 293.38/42.79 [13421] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_328_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_328_8))) => (left_convergent_lines(skolem_N7979, M38_328_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_328_8))))
% 293.38/42.79 -> [13426] ~(unequally_directed_lines(skolem_N7979, M38_328_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_328_8)))
% 293.38/42.79 -> [13427] (left_convergent_lines(skolem_N7979, M38_328_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_328_8)))
% 293.38/42.79
% 293.38/42.79 [13426] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_328_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_328_8)))
% 293.38/42.79 -> [13487] ~unequally_directed_lines(skolem_N7979, M38_328_8)
% 293.38/42.79 -> [13488] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_328_8))
% 293.38/42.79
% 293.38/42.79 [13488] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_328_8))
% 293.38/42.79
% 293.38/42.79 [13487] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_328_8)
% 293.38/42.79
% 293.38/42.79 [13427] BETA_OR : (left_convergent_lines(skolem_N7979, M38_328_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_328_8)))
% 293.38/42.79 -> [13437] left_convergent_lines(skolem_N7979, M38_328_8)
% 293.38/42.79 -> [13438] left_convergent_lines(skolem_N7979, reverse_line(M38_328_8))
% 293.38/42.79
% 293.38/42.79 [13438] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [13665] ~(left_apart_point(A39_640_9, L40_640_9) | left_apart_point(A39_640_9, reverse_line(L40_640_9)))
% 293.38/42.79
% 293.38/42.79 [13665] ALPHA_NOT_OR : ~(left_apart_point(A39_640_9, L40_640_9) | left_apart_point(A39_640_9, reverse_line(L40_640_9)))
% 293.38/42.79 -> [13666] ~left_apart_point(A39_640_9, L40_640_9), ~left_apart_point(A39_640_9, reverse_line(L40_640_9))
% 293.38/42.79
% 293.38/42.79 [13666] CLOSURE : ~left_apart_point(A39_640_9, L40_640_9)
% 293.38/42.79
% 293.38/42.79 [13437] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [13574] ~(left_apart_point(A39_633_9, L40_633_9) | left_apart_point(A39_633_9, reverse_line(L40_633_9)))
% 293.38/42.79
% 293.38/42.79 [13574] ALPHA_NOT_OR : ~(left_apart_point(A39_633_9, L40_633_9) | left_apart_point(A39_633_9, reverse_line(L40_633_9)))
% 293.38/42.79 -> [13873] ~left_apart_point(A39_633_9, L40_633_9), ~left_apart_point(A39_633_9, reverse_line(L40_633_9))
% 293.38/42.79
% 293.38/42.79 [13873] CLOSURE : ~left_apart_point(A39_633_9, L40_633_9)
% 293.38/42.79
% 293.38/42.79 [13393] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [13396] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.79 -> [13397] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [13396] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [13397] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.79 -> [13447] ((unequally_directed_lines(skolem_N7979, M38_330_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_330_8))) => (left_convergent_lines(skolem_N7979, M38_330_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_330_8))))
% 293.38/42.79
% 293.38/42.79 [13447] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_330_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_330_8))) => (left_convergent_lines(skolem_N7979, M38_330_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_330_8))))
% 293.38/42.79 -> [13450] ~(unequally_directed_lines(skolem_N7979, M38_330_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_330_8)))
% 293.38/42.79 -> [13451] (left_convergent_lines(skolem_N7979, M38_330_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_330_8)))
% 293.38/42.79
% 293.38/42.79 [13451] BETA_OR : (left_convergent_lines(skolem_N7979, M38_330_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_330_8)))
% 293.38/42.79 -> [13452] left_convergent_lines(skolem_N7979, M38_330_8)
% 293.38/42.79 -> [13453] left_convergent_lines(skolem_N7979, reverse_line(M38_330_8))
% 293.38/42.79
% 293.38/42.79 [13453] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [13564] ~(left_apart_point(A39_630_9, L40_630_9) | left_apart_point(A39_630_9, reverse_line(L40_630_9)))
% 293.38/42.79
% 293.38/42.79 [13564] ALPHA_NOT_OR : ~(left_apart_point(A39_630_9, L40_630_9) | left_apart_point(A39_630_9, reverse_line(L40_630_9)))
% 293.38/42.79 -> [13566] ~left_apart_point(A39_630_9, L40_630_9), ~left_apart_point(A39_630_9, reverse_line(L40_630_9))
% 293.38/42.79
% 293.38/42.79 [13566] CLOSURE : ~left_apart_point(A39_630_9, L40_630_9)
% 293.38/42.79
% 293.38/42.79 [13452] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [13575] ~(left_apart_point(A39_634_9, L40_634_9) | left_apart_point(A39_634_9, reverse_line(L40_634_9)))
% 293.38/42.79
% 293.38/42.79 [13575] ALPHA_NOT_OR : ~(left_apart_point(A39_634_9, L40_634_9) | left_apart_point(A39_634_9, reverse_line(L40_634_9)))
% 293.38/42.79 -> [13887] ~left_apart_point(A39_634_9, L40_634_9), ~left_apart_point(A39_634_9, reverse_line(L40_634_9))
% 293.38/42.79
% 293.38/42.79 [13887] CLOSURE : ~left_apart_point(A39_634_9, L40_634_9)
% 293.38/42.79
% 293.38/42.79 [13450] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_330_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_330_8)))
% 293.38/42.79 -> [13501] ~unequally_directed_lines(skolem_N7979, M38_330_8)
% 293.38/42.79 -> [13502] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_330_8))
% 293.38/42.79
% 293.38/42.79 [13502] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_330_8))
% 293.38/42.79
% 293.38/42.79 [13501] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_330_8)
% 293.38/42.79
% 293.38/42.79 [783] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.38/42.79 -> [1060] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.38/42.79
% 293.38/42.79 [1060] 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))))
% 293.38/42.79 -> [1751] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.38/42.79
% 293.38/42.79 [1751] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.38/42.79 -> [1752] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.79 -> [1753] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.38/42.79
% 293.38/42.79 [1752] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.79
% 293.38/42.79 [1753] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.38/42.79 -> [4148] distinct_points(skolem_B8181, skolem_B8181)
% 293.38/42.79 -> [4149] distinct_points(skolem_A8080, skolem_B8181)
% 293.38/42.79
% 293.38/42.79 [4148] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.38/42.79
% 293.38/42.79 [4149] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.38/42.79 -> [6859] ~distinct_lines(N27_238_3, N27_238_3)
% 293.38/42.79
% 293.38/42.79 [6859] 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))))
% 293.38/42.79 -> [7346] (distinct_lines(N27_238_3, N27_238_3) => (distinct_lines(N27_238_3, N27_238_3) | distinct_lines(N27_238_3, N27_238_3)))
% 293.38/42.79
% 293.38/42.79 [7346] BETA_IMPLY : (distinct_lines(N27_238_3, N27_238_3) => (distinct_lines(N27_238_3, N27_238_3) | distinct_lines(N27_238_3, N27_238_3)))
% 293.38/42.79 -> [7347] ~distinct_lines(N27_238_3, N27_238_3)
% 293.38/42.79 -> [7348] (distinct_lines(N27_238_3, N27_238_3) | distinct_lines(N27_238_3, N27_238_3))
% 293.38/42.79
% 293.38/42.79 [7348] BETA_OR : (distinct_lines(N27_238_3, N27_238_3) | distinct_lines(N27_238_3, N27_238_3))
% 293.38/42.79 -> [7354] distinct_lines(N27_238_3, N27_238_3)
% 293.38/42.79 -> [7355] distinct_lines(N27_238_3, N27_238_3)
% 293.38/42.79
% 293.38/42.79 [7354] CLOSURE : distinct_lines(N27_238_3, N27_238_3)
% 293.38/42.79
% 293.38/42.79 [7355] CLOSURE : distinct_lines(N27_238_3, N27_238_3)
% 293.38/42.79
% 293.38/42.79 [7347] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.38/42.79 -> [7761] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [7761] 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))))
% 293.38/42.79 -> [8135] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878)))
% 293.38/42.79
% 293.38/42.79 [8135] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878)))
% 293.38/42.79 -> [8136] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.38/42.79 -> [8137] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [8136] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.38/42.79
% 293.38/42.79 [8137] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878))
% 293.38/42.79 -> [11003] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.79 -> [11004] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [11003] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [11004] 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))))))
% 293.38/42.79 -> [12608] ((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)))))
% 293.38/42.79
% 293.38/42.79 [12608] 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)))))
% 293.38/42.79 -> [12610] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.79 -> [12611] ((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))))
% 293.38/42.79
% 293.38/42.79 [12610] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.79 -> [12670] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.79 -> [12671] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [12671] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [12670] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.79
% 293.38/42.79 [12611] 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))))
% 293.38/42.79 -> [14916] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [14917] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.79
% 293.38/42.79 [14916] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [14972] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [14972] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [14917] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [14919] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [14919] 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)))))
% 293.38/42.79 -> [15607] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.38/42.79
% 293.38/42.79 [15607] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.38/42.79 -> [15608] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.38/42.79 -> [15609] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.79
% 293.38/42.79 [15609] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [15613] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.79 -> [15614] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [15613] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [15614] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.79 -> [16566] ((unequally_directed_lines(skolem_N7979, M38_520_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_520_8))) => (left_convergent_lines(skolem_N7979, M38_520_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_520_8))))
% 293.38/42.79
% 293.38/42.79 [16566] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_520_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_520_8))) => (left_convergent_lines(skolem_N7979, M38_520_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_520_8))))
% 293.38/42.79 -> [16567] ~(unequally_directed_lines(skolem_N7979, M38_520_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_520_8)))
% 293.38/42.79 -> [16568] (left_convergent_lines(skolem_N7979, M38_520_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_520_8)))
% 293.38/42.79
% 293.38/42.79 [16567] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_520_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_520_8)))
% 293.38/42.79 -> [16717] ~unequally_directed_lines(skolem_N7979, M38_520_8)
% 293.38/42.79 -> [16718] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_520_8))
% 293.38/42.79
% 293.38/42.79 [16718] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_520_8))
% 293.38/42.79
% 293.38/42.79 [16717] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_520_8)
% 293.38/42.79
% 293.38/42.79 [16568] BETA_OR : (left_convergent_lines(skolem_N7979, M38_520_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_520_8)))
% 293.38/42.79 -> [16570] left_convergent_lines(skolem_N7979, M38_520_8)
% 293.38/42.79 -> [16571] left_convergent_lines(skolem_N7979, reverse_line(M38_520_8))
% 293.38/42.79
% 293.38/42.79 [16571] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [18184] ~(left_apart_point(A39_1182_9, L40_1182_9) | left_apart_point(A39_1182_9, reverse_line(L40_1182_9)))
% 293.38/42.79
% 293.38/42.79 [18184] ALPHA_NOT_OR : ~(left_apart_point(A39_1182_9, L40_1182_9) | left_apart_point(A39_1182_9, reverse_line(L40_1182_9)))
% 293.38/42.79 -> [18187] ~left_apart_point(A39_1182_9, L40_1182_9), ~left_apart_point(A39_1182_9, reverse_line(L40_1182_9))
% 293.38/42.79
% 293.38/42.79 [18187] CLOSURE : ~left_apart_point(A39_1182_9, L40_1182_9)
% 293.38/42.79
% 293.38/42.79 [16570] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [19412] ~(left_apart_point(A39_1340_9, L40_1340_9) | left_apart_point(A39_1340_9, reverse_line(L40_1340_9)))
% 293.38/42.79
% 293.38/42.79 [19412] ALPHA_NOT_OR : ~(left_apart_point(A39_1340_9, L40_1340_9) | left_apart_point(A39_1340_9, reverse_line(L40_1340_9)))
% 293.38/42.79 -> [19413] ~left_apart_point(A39_1340_9, L40_1340_9), ~left_apart_point(A39_1340_9, reverse_line(L40_1340_9))
% 293.38/42.79
% 293.38/42.79 [19413] CLOSURE : ~left_apart_point(A39_1340_9, L40_1340_9)
% 293.38/42.79
% 293.38/42.79 [15608] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.38/42.79 -> [15799] ~line(skolem_M7878)
% 293.38/42.79 -> [15800] ~line(skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [15799] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.79 -> [19309] ((unequally_directed_lines(skolem_N7979, M38_696_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_696_8))) => (left_convergent_lines(skolem_N7979, M38_696_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_696_8))))
% 293.38/42.79
% 293.38/42.79 [19309] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_696_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_696_8))) => (left_convergent_lines(skolem_N7979, M38_696_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_696_8))))
% 293.38/42.79 -> [19310] ~(unequally_directed_lines(skolem_N7979, M38_696_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_696_8)))
% 293.38/42.79 -> [19311] (left_convergent_lines(skolem_N7979, M38_696_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_696_8)))
% 293.38/42.79
% 293.38/42.79 [19311] BETA_OR : (left_convergent_lines(skolem_N7979, M38_696_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_696_8)))
% 293.38/42.79 -> [19317] left_convergent_lines(skolem_N7979, M38_696_8)
% 293.38/42.79 -> [19318] left_convergent_lines(skolem_N7979, reverse_line(M38_696_8))
% 293.38/42.79
% 293.38/42.79 [19318] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [19477] ~(left_apart_point(A39_1350_9, L40_1350_9) | left_apart_point(A39_1350_9, reverse_line(L40_1350_9)))
% 293.38/42.79
% 293.38/42.79 [19477] ALPHA_NOT_OR : ~(left_apart_point(A39_1350_9, L40_1350_9) | left_apart_point(A39_1350_9, reverse_line(L40_1350_9)))
% 293.38/42.79 -> [19479] ~left_apart_point(A39_1350_9, L40_1350_9), ~left_apart_point(A39_1350_9, reverse_line(L40_1350_9))
% 293.38/42.79
% 293.38/42.79 [19479] CLOSURE : ~left_apart_point(A39_1350_9, L40_1350_9)
% 293.38/42.79
% 293.38/42.79 [19317] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [19496] ~(left_apart_point(A39_1355_9, L40_1355_9) | left_apart_point(A39_1355_9, reverse_line(L40_1355_9)))
% 293.38/42.79
% 293.38/42.79 [19496] ALPHA_NOT_OR : ~(left_apart_point(A39_1355_9, L40_1355_9) | left_apart_point(A39_1355_9, reverse_line(L40_1355_9)))
% 293.38/42.79 -> [19497] ~left_apart_point(A39_1355_9, L40_1355_9), ~left_apart_point(A39_1355_9, reverse_line(L40_1355_9))
% 293.38/42.79
% 293.38/42.79 [19497] CLOSURE : ~left_apart_point(A39_1355_9, L40_1355_9)
% 293.38/42.79
% 293.38/42.79 [19310] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_696_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_696_8)))
% 293.38/42.79 -> [19374] ~unequally_directed_lines(skolem_N7979, M38_696_8)
% 293.38/42.79 -> [19375] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_696_8))
% 293.38/42.79
% 293.38/42.79 [19375] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_696_8))
% 293.38/42.79
% 293.38/42.79 [19374] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_696_8)
% 293.38/42.79
% 293.38/42.79 [15800] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.79 -> [19018] ((unequally_directed_lines(skolem_N7979, M38_676_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_676_8))) => (left_convergent_lines(skolem_N7979, M38_676_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_676_8))))
% 293.38/42.79
% 293.38/42.79 [19018] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_676_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_676_8))) => (left_convergent_lines(skolem_N7979, M38_676_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_676_8))))
% 293.38/42.79 -> [19020] ~(unequally_directed_lines(skolem_N7979, M38_676_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_676_8)))
% 293.38/42.79 -> [19021] (left_convergent_lines(skolem_N7979, M38_676_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_676_8)))
% 293.38/42.79
% 293.38/42.79 [19021] BETA_OR : (left_convergent_lines(skolem_N7979, M38_676_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_676_8)))
% 293.38/42.79 -> [19027] left_convergent_lines(skolem_N7979, M38_676_8)
% 293.38/42.79 -> [19028] left_convergent_lines(skolem_N7979, reverse_line(M38_676_8))
% 293.38/42.79
% 293.38/42.79 [19028] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [20374] ~(left_apart_point(A39_1474_9, L40_1474_9) | left_apart_point(A39_1474_9, reverse_line(L40_1474_9)))
% 293.38/42.79
% 293.38/42.79 [20374] ALPHA_NOT_OR : ~(left_apart_point(A39_1474_9, L40_1474_9) | left_apart_point(A39_1474_9, reverse_line(L40_1474_9)))
% 293.38/42.79 -> [20380] ~left_apart_point(A39_1474_9, L40_1474_9), ~left_apart_point(A39_1474_9, reverse_line(L40_1474_9))
% 293.38/42.79
% 293.38/42.79 [20380] CLOSURE : ~left_apart_point(A39_1474_9, L40_1474_9)
% 293.38/42.79
% 293.38/42.79 [19027] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [20387] ~(left_apart_point(A39_1478_9, L40_1478_9) | left_apart_point(A39_1478_9, reverse_line(L40_1478_9)))
% 293.38/42.79
% 293.38/42.79 [20387] ALPHA_NOT_OR : ~(left_apart_point(A39_1478_9, L40_1478_9) | left_apart_point(A39_1478_9, reverse_line(L40_1478_9)))
% 293.38/42.79 -> [20391] ~left_apart_point(A39_1478_9, L40_1478_9), ~left_apart_point(A39_1478_9, reverse_line(L40_1478_9))
% 293.38/42.79
% 293.38/42.79 [20391] CLOSURE : ~left_apart_point(A39_1478_9, L40_1478_9)
% 293.38/42.79
% 293.38/42.79 [19020] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_676_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_676_8)))
% 293.38/42.79 -> [20127] ~unequally_directed_lines(skolem_N7979, M38_676_8)
% 293.38/42.79 -> [20128] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_676_8))
% 293.38/42.79
% 293.38/42.79 [20128] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_676_8))
% 293.38/42.79
% 293.38/42.79 [20127] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_676_8)
% 293.38/42.79
% 293.38/42.79 [776] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.38/42.79 -> [1228] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.38/42.79
% 293.38/42.79 [1228] 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))))
% 293.38/42.79 -> [1243] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.38/42.79
% 293.38/42.79 [1243] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.38/42.79 -> [1244] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.79 -> [1245] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.38/42.79
% 293.38/42.79 [1244] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.79
% 293.38/42.79 [1245] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.38/42.79 -> [1372] distinct_points(skolem_B8181, skolem_B8181)
% 293.38/42.79 -> [1373] distinct_points(skolem_A8080, skolem_B8181)
% 293.38/42.79
% 293.38/42.79 [1372] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.38/42.79
% 293.38/42.79 [1373] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.38/42.79 -> [3937] ~distinct_lines(N27_86_3, N27_86_3)
% 293.38/42.79
% 293.38/42.79 [3937] 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))))
% 293.38/42.79 -> [4012] (distinct_lines(N27_86_3, N27_86_3) => (distinct_lines(N27_86_3, N27_86_3) | distinct_lines(N27_86_3, N27_86_3)))
% 293.38/42.79
% 293.38/42.79 [4012] 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)))
% 293.38/42.79 -> [4013] ~distinct_lines(N27_86_3, N27_86_3)
% 293.38/42.79 -> [4014] (distinct_lines(N27_86_3, N27_86_3) | distinct_lines(N27_86_3, N27_86_3))
% 293.38/42.79
% 293.38/42.79 [4014] BETA_OR : (distinct_lines(N27_86_3, N27_86_3) | distinct_lines(N27_86_3, N27_86_3))
% 293.38/42.79 -> [4023] distinct_lines(N27_86_3, N27_86_3)
% 293.38/42.79 -> [4024] distinct_lines(N27_86_3, N27_86_3)
% 293.38/42.79
% 293.38/42.79 [4024] CLOSURE : distinct_lines(N27_86_3, N27_86_3)
% 293.38/42.79
% 293.38/42.79 [4023] CLOSURE : distinct_lines(N27_86_3, N27_86_3)
% 293.38/42.79
% 293.38/42.79 [4013] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.38/42.79 -> [4177] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [4177] 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))))
% 293.38/42.79 -> [5048] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878)))
% 293.38/42.79
% 293.38/42.79 [5048] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878)))
% 293.38/42.79 -> [5049] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.38/42.79 -> [5050] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [5049] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.38/42.79
% 293.38/42.79 [5050] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878))
% 293.38/42.79 -> [8081] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.79 -> [8082] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [8081] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [8082] 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))))))
% 293.38/42.79 -> [11186] ((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)))))
% 293.38/42.79
% 293.38/42.79 [11186] 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)))))
% 293.38/42.79 -> [11189] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.79 -> [11190] ((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))))
% 293.38/42.79
% 293.38/42.79 [11189] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.79 -> [11243] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.79 -> [11244] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [11244] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [11243] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.79
% 293.38/42.79 [11190] 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))))
% 293.38/42.79 -> [22292] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [22293] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.79
% 293.38/42.79 [22292] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [22320] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [22320] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [22293] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [22299] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [22299] 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)))))
% 293.38/42.79 -> [22379] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.38/42.79
% 293.38/42.79 [22379] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.38/42.79 -> [22382] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.38/42.79 -> [22383] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.79
% 293.38/42.79 [22383] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [22386] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.79 -> [22387] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [22386] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [22387] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.79 -> [22621] ((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))))
% 293.38/42.79
% 293.38/42.79 [22621] 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))))
% 293.38/42.79 -> [22624] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.79 -> [22625] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.79
% 293.38/42.79 [22625] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.79 -> [22633] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.38/42.79 -> [22634] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [22634] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [22861] ~(left_apart_point(A39_1789_9, L40_1789_9) | left_apart_point(A39_1789_9, reverse_line(L40_1789_9)))
% 293.38/42.79
% 293.38/42.79 [22861] ALPHA_NOT_OR : ~(left_apart_point(A39_1789_9, L40_1789_9) | left_apart_point(A39_1789_9, reverse_line(L40_1789_9)))
% 293.38/42.79 -> [22864] ~left_apart_point(A39_1789_9, L40_1789_9), ~left_apart_point(A39_1789_9, reverse_line(L40_1789_9))
% 293.38/42.79
% 293.38/42.79 [22864] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.38/42.79 -> [23073] ~(left_convergent_lines(L41_225_10, M42_225_10) | left_convergent_lines(L41_225_10, reverse_line(M42_225_10)))
% 293.38/42.79
% 293.38/42.79 [23073] ALPHA_NOT_OR : ~(left_convergent_lines(L41_225_10, M42_225_10) | left_convergent_lines(L41_225_10, reverse_line(M42_225_10)))
% 293.38/42.79 -> [23075] ~left_convergent_lines(L41_225_10, M42_225_10), ~left_convergent_lines(L41_225_10, reverse_line(M42_225_10))
% 293.38/42.79
% 293.38/42.79 [23075] CLOSURE : ~left_convergent_lines(L41_225_10, M42_225_10)
% 293.38/42.79
% 293.38/42.79 [22633] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [22910] ~(left_apart_point(A39_1797_9, L40_1797_9) | left_apart_point(A39_1797_9, reverse_line(L40_1797_9)))
% 293.38/42.79
% 293.38/42.79 [22910] ALPHA_NOT_OR : ~(left_apart_point(A39_1797_9, L40_1797_9) | left_apart_point(A39_1797_9, reverse_line(L40_1797_9)))
% 293.38/42.79 -> [22911] ~left_apart_point(A39_1797_9, L40_1797_9), ~left_apart_point(A39_1797_9, reverse_line(L40_1797_9))
% 293.38/42.79
% 293.38/42.79 [22911] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.38/42.79 -> [23067] ~(left_convergent_lines(L41_224_10, M42_224_10) | left_convergent_lines(L41_224_10, reverse_line(M42_224_10)))
% 293.38/42.79
% 293.38/42.79 [23067] ALPHA_NOT_OR : ~(left_convergent_lines(L41_224_10, M42_224_10) | left_convergent_lines(L41_224_10, reverse_line(M42_224_10)))
% 293.38/42.79 -> [23070] ~left_convergent_lines(L41_224_10, M42_224_10), ~left_convergent_lines(L41_224_10, reverse_line(M42_224_10))
% 293.38/42.79
% 293.38/42.79 [23070] CLOSURE : ~left_convergent_lines(L41_224_10, M42_224_10)
% 293.38/42.79
% 293.38/42.79 [22624] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.79 -> [22730] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.79 -> [22731] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [22730] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.79
% 293.38/42.79 [22731] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [22382] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.38/42.79 -> [23015] ~line(skolem_M7878)
% 293.38/42.79 -> [23016] ~line(skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [23015] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.79 -> [23147] ((unequally_directed_lines(skolem_N7979, M38_944_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_944_8))) => (left_convergent_lines(skolem_N7979, M38_944_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_944_8))))
% 293.38/42.79
% 293.38/42.79 [23147] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_944_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_944_8))) => (left_convergent_lines(skolem_N7979, M38_944_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_944_8))))
% 293.38/42.79 -> [23150] ~(unequally_directed_lines(skolem_N7979, M38_944_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_944_8)))
% 293.38/42.79 -> [23151] (left_convergent_lines(skolem_N7979, M38_944_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_944_8)))
% 293.38/42.79
% 293.38/42.79 [23150] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_944_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_944_8)))
% 293.38/42.79 -> [23160] ~unequally_directed_lines(skolem_N7979, M38_944_8)
% 293.38/42.79 -> [23161] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_944_8))
% 293.38/42.79
% 293.38/42.79 [23161] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_944_8))
% 293.38/42.79
% 293.38/42.79 [23160] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_944_8)
% 293.38/42.79
% 293.38/42.79 [23151] BETA_OR : (left_convergent_lines(skolem_N7979, M38_944_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_944_8)))
% 293.38/42.79 -> [23156] left_convergent_lines(skolem_N7979, M38_944_8)
% 293.38/42.79 -> [23157] left_convergent_lines(skolem_N7979, reverse_line(M38_944_8))
% 293.38/42.79
% 293.38/42.79 [23157] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [23174] ~(left_apart_point(A39_1834_9, L40_1834_9) | left_apart_point(A39_1834_9, reverse_line(L40_1834_9)))
% 293.38/42.79
% 293.38/42.79 [23174] ALPHA_NOT_OR : ~(left_apart_point(A39_1834_9, L40_1834_9) | left_apart_point(A39_1834_9, reverse_line(L40_1834_9)))
% 293.38/42.79 -> [23175] ~left_apart_point(A39_1834_9, L40_1834_9), ~left_apart_point(A39_1834_9, reverse_line(L40_1834_9))
% 293.38/42.79
% 293.38/42.79 [23175] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.38/42.79 -> [23225] ~(left_convergent_lines(L41_226_10, M42_226_10) | left_convergent_lines(L41_226_10, reverse_line(M42_226_10)))
% 293.38/42.79
% 293.38/42.79 [23225] ALPHA_NOT_OR : ~(left_convergent_lines(L41_226_10, M42_226_10) | left_convergent_lines(L41_226_10, reverse_line(M42_226_10)))
% 293.38/42.79 -> [23229] ~left_convergent_lines(L41_226_10, M42_226_10), ~left_convergent_lines(L41_226_10, reverse_line(M42_226_10))
% 293.38/42.79
% 293.38/42.79 [23229] CLOSURE : ~left_convergent_lines(L41_226_10, M42_226_10)
% 293.38/42.79
% 293.38/42.79 [23156] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [23188] ~(left_apart_point(A39_1836_9, L40_1836_9) | left_apart_point(A39_1836_9, reverse_line(L40_1836_9)))
% 293.38/42.79
% 293.38/42.79 [23188] ALPHA_NOT_OR : ~(left_apart_point(A39_1836_9, L40_1836_9) | left_apart_point(A39_1836_9, reverse_line(L40_1836_9)))
% 293.38/42.79 -> [23193] ~left_apart_point(A39_1836_9, L40_1836_9), ~left_apart_point(A39_1836_9, reverse_line(L40_1836_9))
% 293.38/42.79
% 293.38/42.79 [23193] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.38/42.79 -> [23235] ~(left_convergent_lines(L41_227_10, M42_227_10) | left_convergent_lines(L41_227_10, reverse_line(M42_227_10)))
% 293.38/42.79
% 293.38/42.79 [23235] ALPHA_NOT_OR : ~(left_convergent_lines(L41_227_10, M42_227_10) | left_convergent_lines(L41_227_10, reverse_line(M42_227_10)))
% 293.38/42.79 -> [23236] ~left_convergent_lines(L41_227_10, M42_227_10), ~left_convergent_lines(L41_227_10, reverse_line(M42_227_10))
% 293.38/42.79
% 293.38/42.79 [23236] CLOSURE : ~left_convergent_lines(L41_227_10, M42_227_10)
% 293.38/42.79
% 293.38/42.79 [23016] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.79 -> [23092] ((unequally_directed_lines(skolem_N7979, M38_940_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_940_8))) => (left_convergent_lines(skolem_N7979, M38_940_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_940_8))))
% 293.38/42.79
% 293.38/42.79 [23092] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_940_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_940_8))) => (left_convergent_lines(skolem_N7979, M38_940_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_940_8))))
% 293.38/42.79 -> [23093] ~(unequally_directed_lines(skolem_N7979, M38_940_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_940_8)))
% 293.38/42.79 -> [23094] (left_convergent_lines(skolem_N7979, M38_940_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_940_8)))
% 293.38/42.79
% 293.38/42.79 [23093] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_940_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_940_8)))
% 293.38/42.79 -> [23154] ~unequally_directed_lines(skolem_N7979, M38_940_8)
% 293.38/42.79 -> [23155] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_940_8))
% 293.38/42.79
% 293.38/42.79 [23155] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_940_8))
% 293.38/42.79
% 293.38/42.79 [23154] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_940_8)
% 293.38/42.79
% 293.38/42.79 [23094] BETA_OR : (left_convergent_lines(skolem_N7979, M38_940_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_940_8)))
% 293.38/42.79 -> [23099] left_convergent_lines(skolem_N7979, M38_940_8)
% 293.38/42.79 -> [23100] left_convergent_lines(skolem_N7979, reverse_line(M38_940_8))
% 293.38/42.79
% 293.38/42.79 [23100] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [23292] ~(left_apart_point(A39_1856_9, L40_1856_9) | left_apart_point(A39_1856_9, reverse_line(L40_1856_9)))
% 293.38/42.79
% 293.38/42.79 [23292] ALPHA_NOT_OR : ~(left_apart_point(A39_1856_9, L40_1856_9) | left_apart_point(A39_1856_9, reverse_line(L40_1856_9)))
% 293.38/42.79 -> [23294] ~left_apart_point(A39_1856_9, L40_1856_9), ~left_apart_point(A39_1856_9, reverse_line(L40_1856_9))
% 293.38/42.79
% 293.38/42.79 [23294] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.38/42.79 -> [23515] ~(left_convergent_lines(L41_228_10, M42_228_10) | left_convergent_lines(L41_228_10, reverse_line(M42_228_10)))
% 293.38/42.79
% 293.38/42.79 [23515] ALPHA_NOT_OR : ~(left_convergent_lines(L41_228_10, M42_228_10) | left_convergent_lines(L41_228_10, reverse_line(M42_228_10)))
% 293.38/42.79 -> [23559] ~left_convergent_lines(L41_228_10, M42_228_10), ~left_convergent_lines(L41_228_10, reverse_line(M42_228_10))
% 293.38/42.79
% 293.38/42.79 [23559] CLOSURE : ~left_convergent_lines(L41_228_10, M42_228_10)
% 293.38/42.79
% 293.38/42.79 [23099] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [23265] ~(left_apart_point(A39_1850_9, L40_1850_9) | left_apart_point(A39_1850_9, reverse_line(L40_1850_9)))
% 293.38/42.79
% 293.38/42.79 [23265] ALPHA_NOT_OR : ~(left_apart_point(A39_1850_9, L40_1850_9) | left_apart_point(A39_1850_9, reverse_line(L40_1850_9)))
% 293.38/42.79 -> [23267] ~left_apart_point(A39_1850_9, L40_1850_9), ~left_apart_point(A39_1850_9, reverse_line(L40_1850_9))
% 293.38/42.79
% 293.38/42.79 [23267] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.38/42.79 -> [24922] ~(left_convergent_lines(L41_238_10, M42_238_10) | left_convergent_lines(L41_238_10, reverse_line(M42_238_10)))
% 293.38/42.79
% 293.38/42.79 [24922] ALPHA_NOT_OR : ~(left_convergent_lines(L41_238_10, M42_238_10) | left_convergent_lines(L41_238_10, reverse_line(M42_238_10)))
% 293.38/42.79 -> [24924] ~left_convergent_lines(L41_238_10, M42_238_10), ~left_convergent_lines(L41_238_10, reverse_line(M42_238_10))
% 293.38/42.79
% 293.38/42.79 [24924] CLOSURE : ~left_convergent_lines(L41_238_10, M42_238_10)
% 293.38/42.79
% 293.38/42.79 [635] 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)))
% 293.38/42.79 -> [740] (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)))
% 293.38/42.79
% 293.38/42.79 [740] 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)))
% 293.38/42.79 -> [745] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 293.38/42.79 -> [746] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [746] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.38/42.79 -> [1748] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.38/42.79
% 293.38/42.79 [1748] 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))))
% 293.38/42.79 -> [1889] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.38/42.79
% 293.38/42.79 [1889] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.38/42.79 -> [1892] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.79 -> [1893] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.38/42.79
% 293.38/42.79 [1892] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.79
% 293.38/42.79 [1893] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.38/42.79 -> [4593] distinct_points(skolem_B8181, skolem_B8181)
% 293.38/42.79 -> [4594] distinct_points(skolem_A8080, skolem_B8181)
% 293.38/42.79
% 293.38/42.79 [4593] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.38/42.79
% 293.38/42.79 [4594] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.38/42.79 -> [5851] ~distinct_lines(N27_182_3, N27_182_3)
% 293.38/42.79
% 293.38/42.79 [5851] 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))))
% 293.38/42.79 -> [6020] (distinct_lines(N27_182_3, N27_182_3) => (distinct_lines(N27_182_3, N27_182_3) | distinct_lines(N27_182_3, N27_182_3)))
% 293.38/42.79
% 293.38/42.79 [6020] BETA_IMPLY : (distinct_lines(N27_182_3, N27_182_3) => (distinct_lines(N27_182_3, N27_182_3) | distinct_lines(N27_182_3, N27_182_3)))
% 293.38/42.79 -> [6021] ~distinct_lines(N27_182_3, N27_182_3)
% 293.38/42.79 -> [6022] (distinct_lines(N27_182_3, N27_182_3) | distinct_lines(N27_182_3, N27_182_3))
% 293.38/42.79
% 293.38/42.79 [6022] BETA_OR : (distinct_lines(N27_182_3, N27_182_3) | distinct_lines(N27_182_3, N27_182_3))
% 293.38/42.79 -> [6026] distinct_lines(N27_182_3, N27_182_3)
% 293.38/42.79 -> [6027] distinct_lines(N27_182_3, N27_182_3)
% 293.38/42.79
% 293.38/42.79 [6026] CLOSURE : distinct_lines(N27_182_3, N27_182_3)
% 293.38/42.79
% 293.38/42.79 [6027] CLOSURE : distinct_lines(N27_182_3, N27_182_3)
% 293.38/42.79
% 293.38/42.79 [6021] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.38/42.79 -> [6121] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [6121] 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))))
% 293.38/42.79 -> [6242] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878)))
% 293.38/42.79
% 293.38/42.79 [6242] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878)))
% 293.38/42.79 -> [6243] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.38/42.79 -> [6244] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [6243] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.38/42.79
% 293.38/42.79 [6244] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878))
% 293.38/42.79 -> [13197] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.79 -> [13198] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [13197] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [13198] 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))))))
% 293.38/42.79 -> [17685] ((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)))))
% 293.38/42.79
% 293.38/42.79 [17685] 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)))))
% 293.38/42.79 -> [17687] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.79 -> [17688] ((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))))
% 293.38/42.79
% 293.38/42.79 [17687] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.79 -> [17729] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.79 -> [17730] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [17730] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [17729] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.79
% 293.38/42.79 [17688] 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))))
% 293.38/42.79 -> [22113] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [22114] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.79
% 293.38/42.79 [22113] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [22120] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [22120] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [22114] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [22117] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [22117] 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)))))
% 293.38/42.79 -> [22135] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.38/42.79
% 293.38/42.79 [22135] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.38/42.79 -> [22139] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.38/42.79 -> [22140] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.79
% 293.38/42.79 [22140] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [22141] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.79 -> [22142] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [22141] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [22142] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.79 -> [22188] ((unequally_directed_lines(skolem_N7979, M38_884_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_884_8))) => (left_convergent_lines(skolem_N7979, M38_884_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_884_8))))
% 293.38/42.79
% 293.38/42.79 [22188] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_884_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_884_8))) => (left_convergent_lines(skolem_N7979, M38_884_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_884_8))))
% 293.38/42.79 -> [22192] ~(unequally_directed_lines(skolem_N7979, M38_884_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_884_8)))
% 293.38/42.79 -> [22193] (left_convergent_lines(skolem_N7979, M38_884_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_884_8)))
% 293.38/42.79
% 293.38/42.79 [22193] BETA_OR : (left_convergent_lines(skolem_N7979, M38_884_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_884_8)))
% 293.38/42.79 -> [22194] left_convergent_lines(skolem_N7979, M38_884_8)
% 293.38/42.79 -> [22195] left_convergent_lines(skolem_N7979, reverse_line(M38_884_8))
% 293.38/42.79
% 293.38/42.79 [22195] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [22270] ~(left_apart_point(A39_1712_9, L40_1712_9) | left_apart_point(A39_1712_9, reverse_line(L40_1712_9)))
% 293.38/42.79
% 293.38/42.79 [22270] ALPHA_NOT_OR : ~(left_apart_point(A39_1712_9, L40_1712_9) | left_apart_point(A39_1712_9, reverse_line(L40_1712_9)))
% 293.38/42.79 -> [22274] ~left_apart_point(A39_1712_9, L40_1712_9), ~left_apart_point(A39_1712_9, reverse_line(L40_1712_9))
% 293.38/42.79
% 293.38/42.79 [22274] CLOSURE : ~left_apart_point(A39_1712_9, L40_1712_9)
% 293.38/42.79
% 293.38/42.79 [22194] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [22300] ~(left_apart_point(A39_1717_9, L40_1717_9) | left_apart_point(A39_1717_9, reverse_line(L40_1717_9)))
% 293.38/42.79
% 293.38/42.79 [22300] ALPHA_NOT_OR : ~(left_apart_point(A39_1717_9, L40_1717_9) | left_apart_point(A39_1717_9, reverse_line(L40_1717_9)))
% 293.38/42.79 -> [22301] ~left_apart_point(A39_1717_9, L40_1717_9), ~left_apart_point(A39_1717_9, reverse_line(L40_1717_9))
% 293.38/42.79
% 293.38/42.79 [22301] CLOSURE : ~left_apart_point(A39_1717_9, L40_1717_9)
% 293.38/42.79
% 293.38/42.79 [22192] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_884_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_884_8)))
% 293.38/42.79 -> [22215] ~unequally_directed_lines(skolem_N7979, M38_884_8)
% 293.38/42.79 -> [22216] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_884_8))
% 293.38/42.79
% 293.38/42.79 [22216] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_884_8))
% 293.38/42.79
% 293.38/42.79 [22215] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_884_8)
% 293.38/42.79
% 293.38/42.79 [22139] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.38/42.79 -> [22149] ~line(skolem_M7878)
% 293.38/42.79 -> [22150] ~line(skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [22150] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.79 -> [22168] ((unequally_directed_lines(skolem_N7979, M38_881_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_881_8))) => (left_convergent_lines(skolem_N7979, M38_881_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_881_8))))
% 293.38/42.79
% 293.38/42.79 [22168] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_881_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_881_8))) => (left_convergent_lines(skolem_N7979, M38_881_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_881_8))))
% 293.38/42.79 -> [22172] ~(unequally_directed_lines(skolem_N7979, M38_881_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_881_8)))
% 293.38/42.79 -> [22173] (left_convergent_lines(skolem_N7979, M38_881_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_881_8)))
% 293.38/42.79
% 293.38/42.79 [22173] BETA_OR : (left_convergent_lines(skolem_N7979, M38_881_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_881_8)))
% 293.38/42.79 -> [22179] left_convergent_lines(skolem_N7979, M38_881_8)
% 293.38/42.79 -> [22180] left_convergent_lines(skolem_N7979, reverse_line(M38_881_8))
% 293.38/42.79
% 293.38/42.79 [22180] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [22263] ~(left_apart_point(A39_1711_9, L40_1711_9) | left_apart_point(A39_1711_9, reverse_line(L40_1711_9)))
% 293.38/42.79
% 293.38/42.79 [22263] ALPHA_NOT_OR : ~(left_apart_point(A39_1711_9, L40_1711_9) | left_apart_point(A39_1711_9, reverse_line(L40_1711_9)))
% 293.38/42.79 -> [22264] ~left_apart_point(A39_1711_9, L40_1711_9), ~left_apart_point(A39_1711_9, reverse_line(L40_1711_9))
% 293.38/42.79
% 293.38/42.79 [22264] CLOSURE : ~left_apart_point(A39_1711_9, L40_1711_9)
% 293.38/42.79
% 293.38/42.79 [22179] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [22283] ~(left_apart_point(A39_1715_9, L40_1715_9) | left_apart_point(A39_1715_9, reverse_line(L40_1715_9)))
% 293.38/42.79
% 293.38/42.79 [22283] ALPHA_NOT_OR : ~(left_apart_point(A39_1715_9, L40_1715_9) | left_apart_point(A39_1715_9, reverse_line(L40_1715_9)))
% 293.38/42.79 -> [22284] ~left_apart_point(A39_1715_9, L40_1715_9), ~left_apart_point(A39_1715_9, reverse_line(L40_1715_9))
% 293.38/42.79
% 293.38/42.79 [22284] CLOSURE : ~left_apart_point(A39_1715_9, L40_1715_9)
% 293.38/42.79
% 293.38/42.79 [22172] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_881_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_881_8)))
% 293.38/42.79 -> [22208] ~unequally_directed_lines(skolem_N7979, M38_881_8)
% 293.38/42.79 -> [22209] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_881_8))
% 293.38/42.79
% 293.38/42.79 [22209] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_881_8))
% 293.38/42.79
% 293.38/42.79 [22208] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_881_8)
% 293.38/42.79
% 293.38/42.79 [22149] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.79 -> [22223] ((unequally_directed_lines(skolem_N7979, M38_887_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_887_8))) => (left_convergent_lines(skolem_N7979, M38_887_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_887_8))))
% 293.38/42.79
% 293.38/42.79 [22223] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_887_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_887_8))) => (left_convergent_lines(skolem_N7979, M38_887_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_887_8))))
% 293.38/42.79 -> [22224] ~(unequally_directed_lines(skolem_N7979, M38_887_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_887_8)))
% 293.38/42.79 -> [22225] (left_convergent_lines(skolem_N7979, M38_887_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_887_8)))
% 293.38/42.79
% 293.38/42.79 [22225] BETA_OR : (left_convergent_lines(skolem_N7979, M38_887_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_887_8)))
% 293.38/42.79 -> [22228] left_convergent_lines(skolem_N7979, M38_887_8)
% 293.38/42.79 -> [22229] left_convergent_lines(skolem_N7979, reverse_line(M38_887_8))
% 293.38/42.79
% 293.38/42.79 [22228] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [22333] ~(left_apart_point(A39_1721_9, L40_1721_9) | left_apart_point(A39_1721_9, reverse_line(L40_1721_9)))
% 293.38/42.79
% 293.38/42.79 [22333] ALPHA_NOT_OR : ~(left_apart_point(A39_1721_9, L40_1721_9) | left_apart_point(A39_1721_9, reverse_line(L40_1721_9)))
% 293.38/42.79 -> [22336] ~left_apart_point(A39_1721_9, L40_1721_9), ~left_apart_point(A39_1721_9, reverse_line(L40_1721_9))
% 293.38/42.79
% 293.38/42.79 [22336] CLOSURE : ~left_apart_point(A39_1721_9, L40_1721_9)
% 293.38/42.79
% 293.38/42.79 [22229] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [22343] ~(left_apart_point(A39_1724_9, L40_1724_9) | left_apart_point(A39_1724_9, reverse_line(L40_1724_9)))
% 293.38/42.79
% 293.38/42.79 [22343] ALPHA_NOT_OR : ~(left_apart_point(A39_1724_9, L40_1724_9) | left_apart_point(A39_1724_9, reverse_line(L40_1724_9)))
% 293.38/42.79 -> [22346] ~left_apart_point(A39_1724_9, L40_1724_9), ~left_apart_point(A39_1724_9, reverse_line(L40_1724_9))
% 293.38/42.79
% 293.38/42.79 [22346] CLOSURE : ~left_apart_point(A39_1724_9, L40_1724_9)
% 293.38/42.79
% 293.38/42.79 [22224] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_887_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_887_8)))
% 293.38/42.79 -> [22239] ~unequally_directed_lines(skolem_N7979, M38_887_8)
% 293.38/42.79 -> [22240] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_887_8))
% 293.38/42.79
% 293.38/42.79 [22240] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_887_8))
% 293.38/42.79
% 293.38/42.79 [22239] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_887_8)
% 293.38/42.79
% 293.38/42.79 [745] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.38/42.79 -> [3293] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.38/42.79
% 293.38/42.79 [3293] 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))))
% 293.38/42.79 -> [3321] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.38/42.79
% 293.38/42.79 [3321] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.38/42.79 -> [3322] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.79 -> [3323] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.38/42.79
% 293.38/42.79 [3322] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.79
% 293.38/42.79 [3323] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.38/42.79 -> [6340] distinct_points(skolem_B8181, skolem_B8181)
% 293.38/42.79 -> [6341] distinct_points(skolem_A8080, skolem_B8181)
% 293.38/42.79
% 293.38/42.79 [6340] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.38/42.79
% 293.38/42.79 [6341] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.38/42.79 -> [8088] ~distinct_lines(N27_255_3, N27_255_3)
% 293.38/42.79
% 293.38/42.79 [8088] 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))))
% 293.38/42.79 -> [8130] (distinct_lines(N27_255_3, N27_255_3) => (distinct_lines(N27_255_3, N27_255_3) | distinct_lines(N27_255_3, N27_255_3)))
% 293.38/42.79
% 293.38/42.79 [8130] BETA_IMPLY : (distinct_lines(N27_255_3, N27_255_3) => (distinct_lines(N27_255_3, N27_255_3) | distinct_lines(N27_255_3, N27_255_3)))
% 293.38/42.79 -> [8131] ~distinct_lines(N27_255_3, N27_255_3)
% 293.38/42.79 -> [8132] (distinct_lines(N27_255_3, N27_255_3) | distinct_lines(N27_255_3, N27_255_3))
% 293.38/42.79
% 293.38/42.79 [8132] BETA_OR : (distinct_lines(N27_255_3, N27_255_3) | distinct_lines(N27_255_3, N27_255_3))
% 293.38/42.79 -> [8133] distinct_lines(N27_255_3, N27_255_3)
% 293.38/42.79 -> [8134] distinct_lines(N27_255_3, N27_255_3)
% 293.38/42.79
% 293.38/42.79 [8134] CLOSURE : distinct_lines(N27_255_3, N27_255_3)
% 293.38/42.79
% 293.38/42.79 [8133] CLOSURE : distinct_lines(N27_255_3, N27_255_3)
% 293.38/42.79
% 293.38/42.79 [8131] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.38/42.79 -> [8182] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [8182] 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))))
% 293.38/42.79 -> [8266] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878)))
% 293.38/42.79
% 293.38/42.79 [8266] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878)))
% 293.38/42.79 -> [8268] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.38/42.79 -> [8269] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [8268] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.38/42.79
% 293.38/42.79 [8269] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878))
% 293.38/42.79 -> [12057] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.79 -> [12058] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [12057] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [12058] 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))))))
% 293.38/42.79 -> [16151] ((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)))))
% 293.38/42.79
% 293.38/42.79 [16151] 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)))))
% 293.38/42.79 -> [16154] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.79 -> [16155] ((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))))
% 293.38/42.79
% 293.38/42.79 [16154] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.79 -> [16221] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.79 -> [16222] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [16221] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.79
% 293.38/42.79 [16222] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [16155] 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))))
% 293.38/42.79 -> [24321] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [24322] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.79
% 293.38/42.79 [24321] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [24330] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [24330] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [24322] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [24327] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [24327] 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)))))
% 293.38/42.79 -> [24453] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.38/42.79
% 293.38/42.79 [24453] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.38/42.79 -> [24454] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.38/42.79 -> [24455] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.79
% 293.38/42.79 [24455] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [24460] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.79 -> [24461] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [24460] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [24461] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.79 -> [24710] ((unequally_directed_lines(skolem_N7979, M38_1056_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1056_8))) => (left_convergent_lines(skolem_N7979, M38_1056_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1056_8))))
% 293.38/42.79
% 293.38/42.79 [24710] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1056_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1056_8))) => (left_convergent_lines(skolem_N7979, M38_1056_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1056_8))))
% 293.38/42.79 -> [24711] ~(unequally_directed_lines(skolem_N7979, M38_1056_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1056_8)))
% 293.38/42.79 -> [24712] (left_convergent_lines(skolem_N7979, M38_1056_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1056_8)))
% 293.38/42.79
% 293.38/42.79 [24712] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1056_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1056_8)))
% 293.38/42.79 -> [24714] left_convergent_lines(skolem_N7979, M38_1056_8)
% 293.38/42.79 -> [24715] left_convergent_lines(skolem_N7979, reverse_line(M38_1056_8))
% 293.38/42.79
% 293.38/42.79 [24715] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [24800] ~(left_apart_point(A39_2087_9, L40_2087_9) | left_apart_point(A39_2087_9, reverse_line(L40_2087_9)))
% 293.38/42.79
% 293.38/42.79 [24800] ALPHA_NOT_OR : ~(left_apart_point(A39_2087_9, L40_2087_9) | left_apart_point(A39_2087_9, reverse_line(L40_2087_9)))
% 293.38/42.79 -> [24802] ~left_apart_point(A39_2087_9, L40_2087_9), ~left_apart_point(A39_2087_9, reverse_line(L40_2087_9))
% 293.38/42.79
% 293.38/42.79 [24802] CLOSURE : ~left_apart_point(A39_2087_9, L40_2087_9)
% 293.38/42.79
% 293.38/42.79 [24714] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [24844] ~(left_apart_point(A39_2095_9, L40_2095_9) | left_apart_point(A39_2095_9, reverse_line(L40_2095_9)))
% 293.38/42.79
% 293.38/42.79 [24844] ALPHA_NOT_OR : ~(left_apart_point(A39_2095_9, L40_2095_9) | left_apart_point(A39_2095_9, reverse_line(L40_2095_9)))
% 293.38/42.79 -> [24845] ~left_apart_point(A39_2095_9, L40_2095_9), ~left_apart_point(A39_2095_9, reverse_line(L40_2095_9))
% 293.38/42.79
% 293.38/42.79 [24845] CLOSURE : ~left_apart_point(A39_2095_9, L40_2095_9)
% 293.38/42.79
% 293.38/42.79 [24711] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1056_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1056_8)))
% 293.38/42.79 -> [24744] ~unequally_directed_lines(skolem_N7979, M38_1056_8)
% 293.38/42.79 -> [24745] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1056_8))
% 293.38/42.79
% 293.38/42.79 [24745] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1056_8))
% 293.38/42.79
% 293.38/42.79 [24744] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1056_8)
% 293.38/42.79
% 293.38/42.79 [24454] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.38/42.79 -> [24553] ~line(skolem_M7878)
% 293.38/42.79 -> [24554] ~line(skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [24554] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.79 -> [24725] ((unequally_directed_lines(skolem_N7979, M38_1058_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1058_8))) => (left_convergent_lines(skolem_N7979, M38_1058_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1058_8))))
% 293.38/42.79
% 293.38/42.79 [24725] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1058_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1058_8))) => (left_convergent_lines(skolem_N7979, M38_1058_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1058_8))))
% 293.38/42.79 -> [24729] ~(unequally_directed_lines(skolem_N7979, M38_1058_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1058_8)))
% 293.38/42.79 -> [24730] (left_convergent_lines(skolem_N7979, M38_1058_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1058_8)))
% 293.38/42.79
% 293.38/42.79 [24730] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1058_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1058_8)))
% 293.38/42.79 -> [24738] left_convergent_lines(skolem_N7979, M38_1058_8)
% 293.38/42.79 -> [24739] left_convergent_lines(skolem_N7979, reverse_line(M38_1058_8))
% 293.38/42.79
% 293.38/42.79 [24739] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [24801] ~(left_apart_point(A39_2088_9, L40_2088_9) | left_apart_point(A39_2088_9, reverse_line(L40_2088_9)))
% 293.38/42.79
% 293.38/42.79 [24801] ALPHA_NOT_OR : ~(left_apart_point(A39_2088_9, L40_2088_9) | left_apart_point(A39_2088_9, reverse_line(L40_2088_9)))
% 293.38/42.79 -> [24804] ~left_apart_point(A39_2088_9, L40_2088_9), ~left_apart_point(A39_2088_9, reverse_line(L40_2088_9))
% 293.38/42.79
% 293.38/42.79 [24804] CLOSURE : ~left_apart_point(A39_2088_9, L40_2088_9)
% 293.38/42.79
% 293.38/42.79 [24738] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [24811] ~(left_apart_point(A39_2090_9, L40_2090_9) | left_apart_point(A39_2090_9, reverse_line(L40_2090_9)))
% 293.38/42.79
% 293.38/42.79 [24811] ALPHA_NOT_OR : ~(left_apart_point(A39_2090_9, L40_2090_9) | left_apart_point(A39_2090_9, reverse_line(L40_2090_9)))
% 293.38/42.79 -> [24816] ~left_apart_point(A39_2090_9, L40_2090_9), ~left_apart_point(A39_2090_9, reverse_line(L40_2090_9))
% 293.38/42.79
% 293.38/42.79 [24816] CLOSURE : ~left_apart_point(A39_2090_9, L40_2090_9)
% 293.38/42.79
% 293.38/42.79 [24729] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1058_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1058_8)))
% 293.38/42.79 -> [24746] ~unequally_directed_lines(skolem_N7979, M38_1058_8)
% 293.38/42.79 -> [24747] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1058_8))
% 293.38/42.79
% 293.38/42.79 [24746] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1058_8)
% 293.38/42.79
% 293.38/42.79 [24747] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1058_8))
% 293.38/42.79
% 293.38/42.79 [24553] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.79 -> [25641] ((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))))
% 293.38/42.79
% 293.38/42.79 [25641] 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))))
% 293.38/42.79 -> [25642] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.79 -> [25643] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.79
% 293.38/42.79 [25642] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.79 -> [25649] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.79 -> [25650] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [25649] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.79
% 293.38/42.79 [25650] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [25643] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.79 -> [25644] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.38/42.79 -> [25645] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [25644] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [25979] ~(left_apart_point(A39_2265_9, L40_2265_9) | left_apart_point(A39_2265_9, reverse_line(L40_2265_9)))
% 293.38/42.79
% 293.38/42.79 [25979] ALPHA_NOT_OR : ~(left_apart_point(A39_2265_9, L40_2265_9) | left_apart_point(A39_2265_9, reverse_line(L40_2265_9)))
% 293.38/42.79 -> [25980] ~left_apart_point(A39_2265_9, L40_2265_9), ~left_apart_point(A39_2265_9, reverse_line(L40_2265_9))
% 293.38/42.79
% 293.38/42.79 [25980] CLOSURE : ~left_apart_point(A39_2265_9, L40_2265_9)
% 293.38/42.79
% 293.38/42.79 [25645] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [25988] ~(left_apart_point(A39_2267_9, L40_2267_9) | left_apart_point(A39_2267_9, reverse_line(L40_2267_9)))
% 293.38/42.79
% 293.38/42.79 [25988] ALPHA_NOT_OR : ~(left_apart_point(A39_2267_9, L40_2267_9) | left_apart_point(A39_2267_9, reverse_line(L40_2267_9)))
% 293.38/42.79 -> [25989] ~left_apart_point(A39_2267_9, L40_2267_9), ~left_apart_point(A39_2267_9, reverse_line(L40_2267_9))
% 293.38/42.79
% 293.38/42.79 [25989] CLOSURE : ~left_apart_point(A39_2267_9, L40_2267_9)
% 293.38/42.79
% 293.38/42.79 [172] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.38/42.79 -> [185] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.38/42.79 -> [186] ~~(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)))
% 293.38/42.79
% 293.38/42.79 [185] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.38/42.79 -> [253] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.38/42.79 -> [254] ~~(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)))
% 293.38/42.79
% 293.38/42.79 [253] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.38/42.79 -> [714] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))
% 293.38/42.79 -> [715] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.38/42.79
% 293.38/42.79 [715] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.38/42.79 -> [721] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.38/42.79
% 293.38/42.79 [721] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.38/42.79 -> [723] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 293.38/42.79 -> [724] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.38/42.79
% 293.38/42.79 [724] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.38/42.79 -> [727] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.38/42.79
% 293.38/42.79 [727] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.38/42.79 -> [730] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.38/42.79 -> [731] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [730] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.38/42.79 -> [1114] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.38/42.79
% 293.38/42.79 [1114] 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))))
% 293.38/42.79 -> [2439] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.38/42.79
% 293.38/42.79 [2439] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.38/42.79 -> [2443] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.79 -> [2444] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.38/42.79
% 293.38/42.79 [2443] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.79
% 293.38/42.79 [2444] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.38/42.79 -> [5695] distinct_points(skolem_B8181, skolem_B8181)
% 293.38/42.79 -> [5696] distinct_points(skolem_A8080, skolem_B8181)
% 293.38/42.79
% 293.38/42.79 [5695] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.38/42.79
% 293.38/42.79 [5696] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.38/42.79 -> [5946] ~distinct_lines(N27_175_3, N27_175_3)
% 293.38/42.79
% 293.38/42.79 [5946] 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))))
% 293.38/42.79 -> [5951] (distinct_lines(N27_175_3, N27_175_3) => (distinct_lines(N27_175_3, N27_175_3) | distinct_lines(N27_175_3, N27_175_3)))
% 293.38/42.79
% 293.38/42.79 [5951] BETA_IMPLY : (distinct_lines(N27_175_3, N27_175_3) => (distinct_lines(N27_175_3, N27_175_3) | distinct_lines(N27_175_3, N27_175_3)))
% 293.38/42.79 -> [5954] ~distinct_lines(N27_175_3, N27_175_3)
% 293.38/42.79 -> [5955] (distinct_lines(N27_175_3, N27_175_3) | distinct_lines(N27_175_3, N27_175_3))
% 293.38/42.79
% 293.38/42.79 [5955] BETA_OR : (distinct_lines(N27_175_3, N27_175_3) | distinct_lines(N27_175_3, N27_175_3))
% 293.38/42.79 -> [5958] distinct_lines(N27_175_3, N27_175_3)
% 293.38/42.79 -> [5959] distinct_lines(N27_175_3, N27_175_3)
% 293.38/42.79
% 293.38/42.79 [5959] CLOSURE : distinct_lines(N27_175_3, N27_175_3)
% 293.38/42.79
% 293.38/42.79 [5958] CLOSURE : distinct_lines(N27_175_3, N27_175_3)
% 293.38/42.79
% 293.38/42.79 [5954] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.38/42.79 -> [5996] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [5996] 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))))
% 293.38/42.79 -> [6075] (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)))
% 293.38/42.79
% 293.38/42.79 [6075] 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)))
% 293.38/42.79 -> [6076] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.79 -> [6077] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [6076] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [6077] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.38/42.79 -> [9080] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.79 -> [9081] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [9080] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [9081] 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))))))
% 293.38/42.79 -> [11633] ((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)))))
% 293.38/42.79
% 293.38/42.79 [11633] 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)))))
% 293.38/42.79 -> [11635] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.79 -> [11636] ((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))))
% 293.38/42.79
% 293.38/42.79 [11635] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.79 -> [11705] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.79 -> [11706] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [11706] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [11705] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.79
% 293.38/42.79 [11636] 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))))
% 293.38/42.79 -> [13983] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [13984] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.79
% 293.38/42.79 [13983] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [14028] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [14028] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [13984] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [13987] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [13987] 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)))))
% 293.38/42.79 -> [14121] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.38/42.79
% 293.38/42.79 [14121] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.38/42.79 -> [14124] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.38/42.79 -> [14125] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.79
% 293.38/42.79 [14124] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.38/42.79 -> [14156] ~line(skolem_M7878)
% 293.38/42.79 -> [14157] ~line(skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [14156] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.79 -> [14287] ((unequally_directed_lines(skolem_N7979, M38_384_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_384_8))) => (left_convergent_lines(skolem_N7979, M38_384_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_384_8))))
% 293.38/42.79
% 293.38/42.79 [14287] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_384_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_384_8))) => (left_convergent_lines(skolem_N7979, M38_384_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_384_8))))
% 293.38/42.79 -> [14290] ~(unequally_directed_lines(skolem_N7979, M38_384_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_384_8)))
% 293.38/42.79 -> [14291] (left_convergent_lines(skolem_N7979, M38_384_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_384_8)))
% 293.38/42.79
% 293.38/42.79 [14290] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_384_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_384_8)))
% 293.38/42.79 -> [14316] ~unequally_directed_lines(skolem_N7979, M38_384_8)
% 293.38/42.79 -> [14317] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_384_8))
% 293.38/42.79
% 293.38/42.79 [14316] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_384_8)
% 293.38/42.79
% 293.38/42.79 [14317] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_384_8))
% 293.38/42.79
% 293.38/42.79 [14291] BETA_OR : (left_convergent_lines(skolem_N7979, M38_384_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_384_8)))
% 293.38/42.79 -> [14292] left_convergent_lines(skolem_N7979, M38_384_8)
% 293.38/42.79 -> [14293] left_convergent_lines(skolem_N7979, reverse_line(M38_384_8))
% 293.38/42.79
% 293.38/42.79 [14292] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [14467] ~(left_apart_point(A39_749_9, L40_749_9) | left_apart_point(A39_749_9, reverse_line(L40_749_9)))
% 293.38/42.79
% 293.38/42.79 [14467] ALPHA_NOT_OR : ~(left_apart_point(A39_749_9, L40_749_9) | left_apart_point(A39_749_9, reverse_line(L40_749_9)))
% 293.38/42.79 -> [14471] ~left_apart_point(A39_749_9, L40_749_9), ~left_apart_point(A39_749_9, reverse_line(L40_749_9))
% 293.38/42.79
% 293.38/42.79 [14471] CLOSURE : ~left_apart_point(A39_749_9, L40_749_9)
% 293.38/42.79
% 293.38/42.79 [14293] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [14522] ~(left_apart_point(A39_751_9, L40_751_9) | left_apart_point(A39_751_9, reverse_line(L40_751_9)))
% 293.38/42.79
% 293.38/42.79 [14522] ALPHA_NOT_OR : ~(left_apart_point(A39_751_9, L40_751_9) | left_apart_point(A39_751_9, reverse_line(L40_751_9)))
% 293.38/42.79 -> [14523] ~left_apart_point(A39_751_9, L40_751_9), ~left_apart_point(A39_751_9, reverse_line(L40_751_9))
% 293.38/42.79
% 293.38/42.79 [14523] CLOSURE : ~left_apart_point(A39_751_9, L40_751_9)
% 293.38/42.79
% 293.38/42.79 [14157] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.79 -> [14258] ((unequally_directed_lines(skolem_N7979, M38_380_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_380_8))) => (left_convergent_lines(skolem_N7979, M38_380_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_380_8))))
% 293.38/42.79
% 293.38/42.79 [14258] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_380_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_380_8))) => (left_convergent_lines(skolem_N7979, M38_380_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_380_8))))
% 293.38/42.79 -> [14259] ~(unequally_directed_lines(skolem_N7979, M38_380_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_380_8)))
% 293.38/42.79 -> [14260] (left_convergent_lines(skolem_N7979, M38_380_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_380_8)))
% 293.38/42.79
% 293.38/42.79 [14259] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_380_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_380_8)))
% 293.38/42.79 -> [14297] ~unequally_directed_lines(skolem_N7979, M38_380_8)
% 293.38/42.79 -> [14298] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_380_8))
% 293.38/42.79
% 293.38/42.79 [14297] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_380_8)
% 293.38/42.79
% 293.38/42.79 [14298] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_380_8))
% 293.38/42.79
% 293.38/42.79 [14260] BETA_OR : (left_convergent_lines(skolem_N7979, M38_380_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_380_8)))
% 293.38/42.79 -> [14265] left_convergent_lines(skolem_N7979, M38_380_8)
% 293.38/42.79 -> [14266] left_convergent_lines(skolem_N7979, reverse_line(M38_380_8))
% 293.38/42.79
% 293.38/42.79 [14266] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [14544] ~(left_apart_point(A39_753_9, L40_753_9) | left_apart_point(A39_753_9, reverse_line(L40_753_9)))
% 293.38/42.79
% 293.38/42.79 [14544] ALPHA_NOT_OR : ~(left_apart_point(A39_753_9, L40_753_9) | left_apart_point(A39_753_9, reverse_line(L40_753_9)))
% 293.38/42.79 -> [14545] ~left_apart_point(A39_753_9, L40_753_9), ~left_apart_point(A39_753_9, reverse_line(L40_753_9))
% 293.38/42.79
% 293.38/42.79 [14545] CLOSURE : ~left_apart_point(A39_753_9, L40_753_9)
% 293.38/42.79
% 293.38/42.79 [14265] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [14563] ~(left_apart_point(A39_756_9, L40_756_9) | left_apart_point(A39_756_9, reverse_line(L40_756_9)))
% 293.38/42.79
% 293.38/42.79 [14563] ALPHA_NOT_OR : ~(left_apart_point(A39_756_9, L40_756_9) | left_apart_point(A39_756_9, reverse_line(L40_756_9)))
% 293.38/42.79 -> [14565] ~left_apart_point(A39_756_9, L40_756_9), ~left_apart_point(A39_756_9, reverse_line(L40_756_9))
% 293.38/42.79
% 293.38/42.79 [14565] CLOSURE : ~left_apart_point(A39_756_9, L40_756_9)
% 293.38/42.79
% 293.38/42.79 [14125] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [14132] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.79 -> [14133] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [14132] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [14133] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.79 -> [14267] ((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))))
% 293.38/42.79
% 293.38/42.79 [14267] 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))))
% 293.38/42.79 -> [14268] ~(unequally_directed_lines(skolem_N7979, M38_381_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_381_8)))
% 293.38/42.79 -> [14269] (left_convergent_lines(skolem_N7979, M38_381_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_381_8)))
% 293.38/42.79
% 293.38/42.79 [14269] BETA_OR : (left_convergent_lines(skolem_N7979, M38_381_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_381_8)))
% 293.38/42.79 -> [14275] left_convergent_lines(skolem_N7979, M38_381_8)
% 293.38/42.79 -> [14276] left_convergent_lines(skolem_N7979, reverse_line(M38_381_8))
% 293.38/42.79
% 293.38/42.79 [14275] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [14591] ~(left_apart_point(A39_758_9, L40_758_9) | left_apart_point(A39_758_9, reverse_line(L40_758_9)))
% 293.38/42.79
% 293.38/42.79 [14591] ALPHA_NOT_OR : ~(left_apart_point(A39_758_9, L40_758_9) | left_apart_point(A39_758_9, reverse_line(L40_758_9)))
% 293.38/42.79 -> [14596] ~left_apart_point(A39_758_9, L40_758_9), ~left_apart_point(A39_758_9, reverse_line(L40_758_9))
% 293.38/42.79
% 293.38/42.79 [14596] CLOSURE : ~left_apart_point(A39_758_9, L40_758_9)
% 293.38/42.79
% 293.38/42.79 [14276] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [14577] ~(left_apart_point(A39_757_9, L40_757_9) | left_apart_point(A39_757_9, reverse_line(L40_757_9)))
% 293.38/42.79
% 293.38/42.79 [14577] ALPHA_NOT_OR : ~(left_apart_point(A39_757_9, L40_757_9) | left_apart_point(A39_757_9, reverse_line(L40_757_9)))
% 293.38/42.79 -> [14581] ~left_apart_point(A39_757_9, L40_757_9), ~left_apart_point(A39_757_9, reverse_line(L40_757_9))
% 293.38/42.79
% 293.38/42.79 [14581] CLOSURE : ~left_apart_point(A39_757_9, L40_757_9)
% 293.38/42.79
% 293.38/42.79 [14268] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_381_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_381_8)))
% 293.38/42.79 -> [14303] ~unequally_directed_lines(skolem_N7979, M38_381_8)
% 293.38/42.79 -> [14304] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_381_8))
% 293.38/42.79
% 293.38/42.79 [14304] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_381_8))
% 293.38/42.79
% 293.38/42.79 [14303] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_381_8)
% 293.38/42.79
% 293.38/42.79 [731] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.38/42.79 -> [811] ~distinct_points(C23_32_1, C23_32_1)
% 293.38/42.79
% 293.38/42.79 [811] 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))))
% 293.38/42.79 -> [934] (distinct_points(C23_32_1, C23_32_1) => (distinct_points(C23_32_1, C23_32_1) | distinct_points(C23_32_1, C23_32_1)))
% 293.38/42.79
% 293.38/42.79 [934] BETA_IMPLY : (distinct_points(C23_32_1, C23_32_1) => (distinct_points(C23_32_1, C23_32_1) | distinct_points(C23_32_1, C23_32_1)))
% 293.38/42.79 -> [936] ~distinct_points(C23_32_1, C23_32_1)
% 293.38/42.79 -> [937] (distinct_points(C23_32_1, C23_32_1) | distinct_points(C23_32_1, C23_32_1))
% 293.38/42.79
% 293.38/42.79 [937] BETA_OR : (distinct_points(C23_32_1, C23_32_1) | distinct_points(C23_32_1, C23_32_1))
% 293.38/42.79 -> [940] distinct_points(C23_32_1, C23_32_1)
% 293.38/42.79 -> [941] distinct_points(C23_32_1, C23_32_1)
% 293.38/42.79
% 293.38/42.79 [940] CLOSURE : distinct_points(C23_32_1, C23_32_1)
% 293.38/42.79
% 293.38/42.79 [941] CLOSURE : distinct_points(C23_32_1, C23_32_1)
% 293.38/42.79
% 293.38/42.79 [936] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.38/42.79 -> [3184] ~distinct_lines(N27_46_3, N27_46_3)
% 293.38/42.79
% 293.38/42.79 [3184] 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))))
% 293.38/42.79 -> [3263] (distinct_lines(N27_46_3, N27_46_3) => (distinct_lines(N27_46_3, N27_46_3) | distinct_lines(N27_46_3, N27_46_3)))
% 293.38/42.79
% 293.38/42.79 [3263] 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)))
% 293.38/42.79 -> [3264] ~distinct_lines(N27_46_3, N27_46_3)
% 293.38/42.79 -> [3265] (distinct_lines(N27_46_3, N27_46_3) | distinct_lines(N27_46_3, N27_46_3))
% 293.38/42.79
% 293.38/42.79 [3265] BETA_OR : (distinct_lines(N27_46_3, N27_46_3) | distinct_lines(N27_46_3, N27_46_3))
% 293.38/42.79 -> [3266] distinct_lines(N27_46_3, N27_46_3)
% 293.38/42.79 -> [3267] distinct_lines(N27_46_3, N27_46_3)
% 293.38/42.79
% 293.38/42.79 [3266] CLOSURE : distinct_lines(N27_46_3, N27_46_3)
% 293.38/42.79
% 293.38/42.79 [3267] CLOSURE : distinct_lines(N27_46_3, N27_46_3)
% 293.38/42.79
% 293.38/42.79 [3264] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.38/42.79 -> [3372] ~unequally_directed_lines(skolem_N7979, skolem_N7979)
% 293.38/42.79
% 293.38/42.79 [3372] 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))))
% 293.38/42.79 -> [3522] (unequally_directed_lines(skolem_M7878, skolem_N7979) => (unequally_directed_lines(skolem_M7878, skolem_N7979) | unequally_directed_lines(skolem_N7979, skolem_N7979)))
% 293.38/42.79
% 293.38/42.79 [3522] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, skolem_N7979) => (unequally_directed_lines(skolem_M7878, skolem_N7979) | unequally_directed_lines(skolem_N7979, skolem_N7979)))
% 293.38/42.79 -> [3526] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.79 -> [3527] (unequally_directed_lines(skolem_M7878, skolem_N7979) | unequally_directed_lines(skolem_N7979, skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [3526] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.79
% 293.38/42.79 [3527] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_N7979) | unequally_directed_lines(skolem_N7979, skolem_N7979))
% 293.38/42.79 -> [5647] unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.79 -> [5648] unequally_directed_lines(skolem_N7979, skolem_N7979)
% 293.38/42.79
% 293.38/42.79 [5648] CLOSURE : unequally_directed_lines(skolem_N7979, skolem_N7979)
% 293.38/42.79
% 293.38/42.79 [5647] 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))))))
% 293.38/42.79 -> [6884] ((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)))))
% 293.38/42.79
% 293.38/42.79 [6884] 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)))))
% 293.38/42.79 -> [6885] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.79 -> [6886] ((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))))
% 293.38/42.79
% 293.38/42.79 [6885] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.79 -> [6909] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.79 -> [6910] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [6910] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [6909] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.79
% 293.38/42.79 [6886] 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))))
% 293.38/42.79 -> [9749] (unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.79 -> [9750] (unequally_directed_lines(skolem_N7979, skolem_N7979) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979)))
% 293.38/42.79
% 293.38/42.79 [9750] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_N7979) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979)))
% 293.38/42.79 -> [9751] unequally_directed_lines(skolem_N7979, skolem_N7979), unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [9751] CLOSURE : unequally_directed_lines(skolem_N7979, skolem_N7979)
% 293.38/42.79
% 293.38/42.79 [9749] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.79 -> [9754] unequally_directed_lines(skolem_M7878, skolem_N7979), unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [9754] 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)))))
% 293.38/42.79 -> [9796] ((line(skolem_N7979) & line(skolem_N7979)) => (unequally_directed_lines(skolem_N7979, skolem_N7979) | unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979))))
% 293.38/42.79
% 293.38/42.79 [9796] BETA_IMPLY : ((line(skolem_N7979) & line(skolem_N7979)) => (unequally_directed_lines(skolem_N7979, skolem_N7979) | unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979))))
% 293.38/42.79 -> [9798] ~(line(skolem_N7979) & line(skolem_N7979))
% 293.38/42.79 -> [9799] (unequally_directed_lines(skolem_N7979, skolem_N7979) | unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979)))
% 293.38/42.79
% 293.38/42.79 [9799] BETA_OR : (unequally_directed_lines(skolem_N7979, skolem_N7979) | unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979)))
% 293.38/42.79 -> [9803] unequally_directed_lines(skolem_N7979, skolem_N7979)
% 293.38/42.79 -> [9804] unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [9803] CLOSURE : unequally_directed_lines(skolem_N7979, skolem_N7979)
% 293.38/42.79
% 293.38/42.79 [9804] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.79 -> [11766] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.38/42.79
% 293.38/42.79 [11766] 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))))
% 293.38/42.79 -> [11767] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [11768] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79
% 293.38/42.79 [11767] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [11885] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79 -> [11886] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [11886] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [11885] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [11768] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [11775] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79 -> [11776] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [11775] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [12108] ~(left_apart_point(A39_499_9, L40_499_9) | left_apart_point(A39_499_9, reverse_line(L40_499_9)))
% 293.38/42.79
% 293.38/42.79 [12108] ALPHA_NOT_OR : ~(left_apart_point(A39_499_9, L40_499_9) | left_apart_point(A39_499_9, reverse_line(L40_499_9)))
% 293.38/42.79 -> [12109] ~left_apart_point(A39_499_9, L40_499_9), ~left_apart_point(A39_499_9, reverse_line(L40_499_9))
% 293.38/42.79
% 293.38/42.79 [12109] CLOSURE : ~left_apart_point(A39_499_9, L40_499_9)
% 293.38/42.79
% 293.38/42.79 [11776] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [12557] ~(left_apart_point(A39_524_9, L40_524_9) | left_apart_point(A39_524_9, reverse_line(L40_524_9)))
% 293.38/42.79
% 293.38/42.79 [12557] ALPHA_NOT_OR : ~(left_apart_point(A39_524_9, L40_524_9) | left_apart_point(A39_524_9, reverse_line(L40_524_9)))
% 293.38/42.79 -> [12558] ~left_apart_point(A39_524_9, L40_524_9), ~left_apart_point(A39_524_9, reverse_line(L40_524_9))
% 293.38/42.79
% 293.38/42.79 [12558] CLOSURE : ~left_apart_point(A39_524_9, L40_524_9)
% 293.38/42.79
% 293.38/42.79 [9798] BETA_NOT_AND : ~(line(skolem_N7979) & line(skolem_N7979))
% 293.38/42.79 -> [9811] ~line(skolem_N7979)
% 293.38/42.79 -> [9812] ~line(skolem_N7979)
% 293.38/42.79
% 293.38/42.79 [9811] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.79 -> [9869] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.38/42.79
% 293.38/42.79 [9869] 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))))
% 293.38/42.79 -> [9872] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [9873] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79
% 293.38/42.79 [9873] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [9876] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79 -> [9877] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [9876] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [9909] ~(left_apart_point(A39_268_9, L40_268_9) | left_apart_point(A39_268_9, reverse_line(L40_268_9)))
% 293.38/42.79
% 293.38/42.79 [9909] ALPHA_NOT_OR : ~(left_apart_point(A39_268_9, L40_268_9) | left_apart_point(A39_268_9, reverse_line(L40_268_9)))
% 293.38/42.79 -> [9912] ~left_apart_point(A39_268_9, L40_268_9), ~left_apart_point(A39_268_9, reverse_line(L40_268_9))
% 293.38/42.79
% 293.38/42.79 [9912] CLOSURE : ~left_apart_point(A39_268_9, L40_268_9)
% 293.38/42.79
% 293.38/42.79 [9877] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [9915] ~(left_apart_point(A39_269_9, L40_269_9) | left_apart_point(A39_269_9, reverse_line(L40_269_9)))
% 293.38/42.79
% 293.38/42.79 [9915] ALPHA_NOT_OR : ~(left_apart_point(A39_269_9, L40_269_9) | left_apart_point(A39_269_9, reverse_line(L40_269_9)))
% 293.38/42.79 -> [9919] ~left_apart_point(A39_269_9, L40_269_9), ~left_apart_point(A39_269_9, reverse_line(L40_269_9))
% 293.38/42.79
% 293.38/42.79 [9919] CLOSURE : ~left_apart_point(A39_269_9, L40_269_9)
% 293.38/42.79
% 293.38/42.79 [9872] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [9884] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79 -> [9885] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [9885] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [9884] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [9812] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.79 -> [11206] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.38/42.79
% 293.38/42.79 [11206] 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))))
% 293.38/42.79 -> [11207] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [11208] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79
% 293.38/42.79 [11207] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [11292] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79 -> [11293] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [11293] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [11292] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [11208] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [11212] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79 -> [11213] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [11212] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [12073] ~(left_apart_point(A39_492_9, L40_492_9) | left_apart_point(A39_492_9, reverse_line(L40_492_9)))
% 293.38/42.79
% 293.38/42.79 [12073] ALPHA_NOT_OR : ~(left_apart_point(A39_492_9, L40_492_9) | left_apart_point(A39_492_9, reverse_line(L40_492_9)))
% 293.38/42.79 -> [12074] ~left_apart_point(A39_492_9, L40_492_9), ~left_apart_point(A39_492_9, reverse_line(L40_492_9))
% 293.38/42.79
% 293.38/42.79 [12074] CLOSURE : ~left_apart_point(A39_492_9, L40_492_9)
% 293.38/42.79
% 293.38/42.79 [11213] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [12757] ~(left_apart_point(A39_543_9, L40_543_9) | left_apart_point(A39_543_9, reverse_line(L40_543_9)))
% 293.38/42.79
% 293.38/42.79 [12757] ALPHA_NOT_OR : ~(left_apart_point(A39_543_9, L40_543_9) | left_apart_point(A39_543_9, reverse_line(L40_543_9)))
% 293.38/42.79 -> [12758] ~left_apart_point(A39_543_9, L40_543_9), ~left_apart_point(A39_543_9, reverse_line(L40_543_9))
% 293.38/42.79
% 293.38/42.79 [12758] CLOSURE : ~left_apart_point(A39_543_9, L40_543_9)
% 293.38/42.79
% 293.38/42.79 [723] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.38/42.79 -> [838] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.38/42.79 -> [839] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [838] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.38/42.79 -> [1118] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.38/42.79
% 293.38/42.79 [1118] 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))))
% 293.38/42.79 -> [1650] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.38/42.79
% 293.38/42.79 [1650] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.38/42.79 -> [1651] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.79 -> [1652] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.38/42.79
% 293.38/42.79 [1651] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.79
% 293.38/42.79 [1652] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.38/42.79 -> [4309] distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.79 -> [4310] distinct_points(skolem_A8080, skolem_A8080)
% 293.38/42.79
% 293.38/42.79 [4310] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.38/42.79
% 293.38/42.79 [4309] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.38/42.79 -> [4601] ~distinct_lines(N27_115_3, N27_115_3)
% 293.38/42.79
% 293.38/42.79 [4601] 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))))
% 293.38/42.79 -> [4610] (distinct_lines(N27_115_3, N27_115_3) => (distinct_lines(N27_115_3, N27_115_3) | distinct_lines(N27_115_3, N27_115_3)))
% 293.38/42.79
% 293.38/42.79 [4610] BETA_IMPLY : (distinct_lines(N27_115_3, N27_115_3) => (distinct_lines(N27_115_3, N27_115_3) | distinct_lines(N27_115_3, N27_115_3)))
% 293.38/42.79 -> [4611] ~distinct_lines(N27_115_3, N27_115_3)
% 293.38/42.79 -> [4612] (distinct_lines(N27_115_3, N27_115_3) | distinct_lines(N27_115_3, N27_115_3))
% 293.38/42.79
% 293.38/42.79 [4612] BETA_OR : (distinct_lines(N27_115_3, N27_115_3) | distinct_lines(N27_115_3, N27_115_3))
% 293.38/42.79 -> [4616] distinct_lines(N27_115_3, N27_115_3)
% 293.38/42.79 -> [4617] distinct_lines(N27_115_3, N27_115_3)
% 293.38/42.79
% 293.38/42.79 [4616] CLOSURE : distinct_lines(N27_115_3, N27_115_3)
% 293.38/42.79
% 293.38/42.79 [4617] CLOSURE : distinct_lines(N27_115_3, N27_115_3)
% 293.38/42.79
% 293.38/42.79 [4611] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.38/42.79 -> [4637] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [4637] 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))))
% 293.38/42.79 -> [4646] (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))))
% 293.38/42.79
% 293.38/42.79 [4646] 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))))
% 293.38/42.79 -> [4647] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.79 -> [4648] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.38/42.79
% 293.38/42.79 [4647] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [4648] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.38/42.79 -> [5937] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.79 -> [5938] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [5938] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [5937] 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))))))
% 293.38/42.79 -> [7972] ((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))))))
% 293.38/42.79
% 293.38/42.79 [7972] 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))))))
% 293.38/42.79 -> [7973] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [7974] ((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)))))
% 293.38/42.79
% 293.38/42.79 [7973] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [8025] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79 -> [8026] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [8025] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [8026] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [7974] 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)))))
% 293.38/42.79 -> [10222] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))
% 293.38/42.79 -> [10223] (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))
% 293.38/42.79
% 293.38/42.79 [10222] 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))))
% 293.38/42.79 -> [10232] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)), unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.38/42.79
% 293.38/42.79 [10232] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 293.38/42.79
% 293.38/42.79 [10223] 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))))
% 293.38/42.79 -> [10225] unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080)), unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.38/42.79
% 293.38/42.79 [10225] 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)))))
% 293.38/42.79 -> [10309] ((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))))
% 293.38/42.79
% 293.38/42.79 [10309] 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))))
% 293.38/42.79 -> [10312] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.38/42.79 -> [10313] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.38/42.79
% 293.38/42.79 [10312] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.38/42.79 -> [10340] ~line(reverse_line(skolem_N7979))
% 293.38/42.79 -> [10341] ~line(skolem_N7979)
% 293.38/42.79
% 293.38/42.79 [10341] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.79 -> [10361] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.38/42.79
% 293.38/42.79 [10361] 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))))
% 293.38/42.79 -> [10363] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [10364] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79
% 293.38/42.79 [10364] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [10367] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79 -> [10368] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [10368] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [10454] ~(left_apart_point(A39_331_9, L40_331_9) | left_apart_point(A39_331_9, reverse_line(L40_331_9)))
% 293.38/42.79
% 293.38/42.79 [10454] ALPHA_NOT_OR : ~(left_apart_point(A39_331_9, L40_331_9) | left_apart_point(A39_331_9, reverse_line(L40_331_9)))
% 293.38/42.79 -> [10456] ~left_apart_point(A39_331_9, L40_331_9), ~left_apart_point(A39_331_9, reverse_line(L40_331_9))
% 293.38/42.79
% 293.38/42.79 [10456] CLOSURE : ~left_apart_point(A39_331_9, L40_331_9)
% 293.38/42.79
% 293.38/42.79 [10367] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [10465] ~(left_apart_point(A39_336_9, L40_336_9) | left_apart_point(A39_336_9, reverse_line(L40_336_9)))
% 293.38/42.79
% 293.38/42.79 [10465] ALPHA_NOT_OR : ~(left_apart_point(A39_336_9, L40_336_9) | left_apart_point(A39_336_9, reverse_line(L40_336_9)))
% 293.38/42.79 -> [10466] ~left_apart_point(A39_336_9, L40_336_9), ~left_apart_point(A39_336_9, reverse_line(L40_336_9))
% 293.38/42.79
% 293.38/42.79 [10466] CLOSURE : ~left_apart_point(A39_336_9, L40_336_9)
% 293.38/42.79
% 293.38/42.79 [10363] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [10400] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79 -> [10401] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [10401] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [10400] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [10340] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.79 -> [10378] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.38/42.79
% 293.38/42.79 [10378] 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))))
% 293.38/42.79 -> [10379] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [10380] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79
% 293.38/42.79 [10380] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [10387] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79 -> [10388] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [10388] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [10459] ~(left_apart_point(A39_333_9, L40_333_9) | left_apart_point(A39_333_9, reverse_line(L40_333_9)))
% 293.38/42.79
% 293.38/42.79 [10459] ALPHA_NOT_OR : ~(left_apart_point(A39_333_9, L40_333_9) | left_apart_point(A39_333_9, reverse_line(L40_333_9)))
% 293.38/42.79 -> [10461] ~left_apart_point(A39_333_9, L40_333_9), ~left_apart_point(A39_333_9, reverse_line(L40_333_9))
% 293.38/42.79
% 293.38/42.79 [10461] CLOSURE : ~left_apart_point(A39_333_9, L40_333_9)
% 293.38/42.79
% 293.38/42.79 [10387] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [10471] ~(left_apart_point(A39_339_9, L40_339_9) | left_apart_point(A39_339_9, reverse_line(L40_339_9)))
% 293.38/42.79
% 293.38/42.79 [10471] ALPHA_NOT_OR : ~(left_apart_point(A39_339_9, L40_339_9) | left_apart_point(A39_339_9, reverse_line(L40_339_9)))
% 293.38/42.79 -> [10473] ~left_apart_point(A39_339_9, L40_339_9), ~left_apart_point(A39_339_9, reverse_line(L40_339_9))
% 293.38/42.79
% 293.38/42.79 [10473] CLOSURE : ~left_apart_point(A39_339_9, L40_339_9)
% 293.38/42.79
% 293.38/42.79 [10379] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [10417] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79 -> [10418] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [10418] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [10417] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [10313] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.38/42.79 -> [10322] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 293.38/42.79 -> [10323] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [10323] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [10322] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.79 -> [10591] ((unequally_directed_lines(skolem_M7878, M38_190_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_190_8))) => (left_convergent_lines(skolem_M7878, M38_190_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_190_8))))
% 293.38/42.79
% 293.38/42.79 [10591] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_190_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_190_8))) => (left_convergent_lines(skolem_M7878, M38_190_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_190_8))))
% 293.38/42.79 -> [10595] ~(unequally_directed_lines(skolem_M7878, M38_190_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_190_8)))
% 293.38/42.79 -> [10596] (left_convergent_lines(skolem_M7878, M38_190_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_190_8)))
% 293.38/42.79
% 293.38/42.79 [10596] BETA_OR : (left_convergent_lines(skolem_M7878, M38_190_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_190_8)))
% 293.38/42.79 -> [10598] left_convergent_lines(skolem_M7878, M38_190_8)
% 293.38/42.79 -> [10599] left_convergent_lines(skolem_M7878, reverse_line(M38_190_8))
% 293.38/42.79
% 293.38/42.79 [10599] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [10649] ~(left_apart_point(A39_365_9, L40_365_9) | left_apart_point(A39_365_9, reverse_line(L40_365_9)))
% 293.38/42.79
% 293.38/42.79 [10649] ALPHA_NOT_OR : ~(left_apart_point(A39_365_9, L40_365_9) | left_apart_point(A39_365_9, reverse_line(L40_365_9)))
% 293.38/42.79 -> [10652] ~left_apart_point(A39_365_9, L40_365_9), ~left_apart_point(A39_365_9, reverse_line(L40_365_9))
% 293.38/42.79
% 293.38/42.79 [10652] CLOSURE : ~left_apart_point(A39_365_9, L40_365_9)
% 293.38/42.79
% 293.38/42.79 [10598] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [10685] ~(left_apart_point(A39_366_9, L40_366_9) | left_apart_point(A39_366_9, reverse_line(L40_366_9)))
% 293.38/42.79
% 293.38/42.79 [10685] ALPHA_NOT_OR : ~(left_apart_point(A39_366_9, L40_366_9) | left_apart_point(A39_366_9, reverse_line(L40_366_9)))
% 293.38/42.79 -> [10690] ~left_apart_point(A39_366_9, L40_366_9), ~left_apart_point(A39_366_9, reverse_line(L40_366_9))
% 293.38/42.79
% 293.38/42.79 [10690] CLOSURE : ~left_apart_point(A39_366_9, L40_366_9)
% 293.38/42.79
% 293.38/42.79 [10595] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_190_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_190_8)))
% 293.38/42.79 -> [10615] ~unequally_directed_lines(skolem_M7878, M38_190_8)
% 293.38/42.79 -> [10616] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_190_8))
% 293.38/42.79
% 293.38/42.79 [10616] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_190_8))
% 293.38/42.79
% 293.38/42.79 [10615] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_190_8)
% 293.38/42.79
% 293.38/42.79 [839] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.38/42.79 -> [2307] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.38/42.79
% 293.38/42.79 [2307] 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))))
% 293.38/42.79 -> [2347] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.38/42.79
% 293.38/42.79 [2347] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.38/42.79 -> [2348] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.79 -> [2349] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.38/42.79
% 293.38/42.79 [2348] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.79
% 293.38/42.79 [2349] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.38/42.79 -> [2463] distinct_points(skolem_B8181, skolem_B8181)
% 293.38/42.79 -> [2464] distinct_points(skolem_A8080, skolem_B8181)
% 293.38/42.79
% 293.38/42.79 [2463] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.38/42.79
% 293.38/42.79 [2464] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.38/42.79 -> [2480] ~distinct_lines(N27_23_3, N27_23_3)
% 293.38/42.79
% 293.38/42.79 [2480] 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))))
% 293.38/42.79 -> [2485] (distinct_lines(N27_23_3, N27_23_3) => (distinct_lines(N27_23_3, N27_23_3) | distinct_lines(N27_23_3, N27_23_3)))
% 293.38/42.79
% 293.38/42.79 [2485] BETA_IMPLY : (distinct_lines(N27_23_3, N27_23_3) => (distinct_lines(N27_23_3, N27_23_3) | distinct_lines(N27_23_3, N27_23_3)))
% 293.38/42.79 -> [2488] ~distinct_lines(N27_23_3, N27_23_3)
% 293.38/42.79 -> [2489] (distinct_lines(N27_23_3, N27_23_3) | distinct_lines(N27_23_3, N27_23_3))
% 293.38/42.79
% 293.38/42.79 [2489] BETA_OR : (distinct_lines(N27_23_3, N27_23_3) | distinct_lines(N27_23_3, N27_23_3))
% 293.38/42.79 -> [2491] distinct_lines(N27_23_3, N27_23_3)
% 293.38/42.79 -> [2492] distinct_lines(N27_23_3, N27_23_3)
% 293.38/42.79
% 293.38/42.79 [2492] CLOSURE : distinct_lines(N27_23_3, N27_23_3)
% 293.38/42.79
% 293.38/42.79 [2491] CLOSURE : distinct_lines(N27_23_3, N27_23_3)
% 293.38/42.79
% 293.38/42.79 [2488] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.38/42.79 -> [4931] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [4931] 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))))
% 293.38/42.79 -> [5172] (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))))
% 293.38/42.79
% 293.38/42.79 [5172] 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))))
% 293.38/42.79 -> [5174] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.79 -> [5175] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.38/42.79
% 293.38/42.79 [5174] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [5175] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.38/42.79 -> [8221] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.79 -> [8222] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [8222] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [8221] 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))))))
% 293.38/42.79 -> [9592] ((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)))))
% 293.38/42.79
% 293.38/42.79 [9592] 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)))))
% 293.38/42.79 -> [9597] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.79 -> [9598] ((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))))
% 293.38/42.79
% 293.38/42.79 [9597] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.79 -> [9607] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.79 -> [9608] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [9608] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [9607] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.79
% 293.38/42.79 [9598] 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))))
% 293.38/42.79 -> [19070] (unequally_directed_lines(skolem_M7878, N34_108_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_108_6)))
% 293.38/42.79 -> [19071] (unequally_directed_lines(skolem_N7979, N34_108_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_108_6)))
% 293.38/42.79
% 293.38/42.79 [19070] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_108_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_108_6)))
% 293.38/42.79 -> [19843] unequally_directed_lines(skolem_M7878, N34_108_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_108_6))
% 293.38/42.79
% 293.38/42.79 [19843] 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)))))
% 293.38/42.79 -> [20059] ((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)))))
% 293.38/42.79
% 293.38/42.79 [20059] 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)))))
% 293.38/42.79 -> [20060] ~(line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181)))
% 293.38/42.79 -> [20061] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 293.38/42.79
% 293.38/42.79 [20060] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181)))
% 293.38/42.79 -> [20084] ~line(skolem_L7777)
% 293.38/42.79 -> [20085] ~line(line_connecting(skolem_C8282, skolem_B8181))
% 293.38/42.79
% 293.38/42.79 [20084] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.79 -> [20298] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.38/42.79
% 293.38/42.79 [20298] 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))))
% 293.38/42.79 -> [20301] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [20302] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79
% 293.38/42.79 [20301] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [20344] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79 -> [20345] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [20345] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [20344] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [20302] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [20305] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79 -> [20306] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [20306] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [20477] ~(left_apart_point(A39_1489_9, L40_1489_9) | left_apart_point(A39_1489_9, reverse_line(L40_1489_9)))
% 293.38/42.79
% 293.38/42.79 [20477] ALPHA_NOT_OR : ~(left_apart_point(A39_1489_9, L40_1489_9) | left_apart_point(A39_1489_9, reverse_line(L40_1489_9)))
% 293.38/42.79 -> [20480] ~left_apart_point(A39_1489_9, L40_1489_9), ~left_apart_point(A39_1489_9, reverse_line(L40_1489_9))
% 293.38/42.79
% 293.38/42.79 [20480] CLOSURE : ~left_apart_point(A39_1489_9, L40_1489_9)
% 293.38/42.79
% 293.38/42.79 [20305] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [20503] ~(left_apart_point(A39_1495_9, L40_1495_9) | left_apart_point(A39_1495_9, reverse_line(L40_1495_9)))
% 293.38/42.79
% 293.38/42.79 [20503] ALPHA_NOT_OR : ~(left_apart_point(A39_1495_9, L40_1495_9) | left_apart_point(A39_1495_9, reverse_line(L40_1495_9)))
% 293.38/42.79 -> [20505] ~left_apart_point(A39_1495_9, L40_1495_9), ~left_apart_point(A39_1495_9, reverse_line(L40_1495_9))
% 293.38/42.79
% 293.38/42.79 [20505] CLOSURE : ~left_apart_point(A39_1495_9, L40_1495_9)
% 293.38/42.79
% 293.38/42.79 [20085] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.79 -> [20214] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.38/42.79
% 293.38/42.79 [20214] 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))))
% 293.38/42.79 -> [20217] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [20218] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79
% 293.38/42.79 [20218] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [20223] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79 -> [20224] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [20224] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [20415] ~(left_apart_point(A39_1482_9, L40_1482_9) | left_apart_point(A39_1482_9, reverse_line(L40_1482_9)))
% 293.38/42.79
% 293.38/42.79 [20415] ALPHA_NOT_OR : ~(left_apart_point(A39_1482_9, L40_1482_9) | left_apart_point(A39_1482_9, reverse_line(L40_1482_9)))
% 293.38/42.79 -> [20416] ~left_apart_point(A39_1482_9, L40_1482_9), ~left_apart_point(A39_1482_9, reverse_line(L40_1482_9))
% 293.38/42.79
% 293.38/42.79 [20416] CLOSURE : ~left_apart_point(A39_1482_9, L40_1482_9)
% 293.38/42.79
% 293.38/42.79 [20223] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [20456] ~(left_apart_point(A39_1487_9, L40_1487_9) | left_apart_point(A39_1487_9, reverse_line(L40_1487_9)))
% 293.38/42.79
% 293.38/42.79 [20456] ALPHA_NOT_OR : ~(left_apart_point(A39_1487_9, L40_1487_9) | left_apart_point(A39_1487_9, reverse_line(L40_1487_9)))
% 293.38/42.79 -> [20457] ~left_apart_point(A39_1487_9, L40_1487_9), ~left_apart_point(A39_1487_9, reverse_line(L40_1487_9))
% 293.38/42.79
% 293.38/42.79 [20457] CLOSURE : ~left_apart_point(A39_1487_9, L40_1487_9)
% 293.38/42.79
% 293.38/42.79 [20217] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.79 -> [20257] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79 -> [20258] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [20258] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.79
% 293.38/42.79 [20257] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.79
% 293.38/42.79 [20061] 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))))
% 293.38/42.79 -> [20063] unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 293.38/42.79 -> [20064] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))
% 293.38/42.79
% 293.38/42.79 [20063] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 293.38/42.79
% 293.38/42.79 [20064] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.79 -> [21770] ((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))))
% 293.38/42.79
% 293.38/42.79 [21770] 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))))
% 293.38/42.79 -> [21775] ~(unequally_directed_lines(skolem_L7777, skolem_N7979) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979)))
% 293.38/42.79 -> [21776] (left_convergent_lines(skolem_L7777, skolem_N7979) | left_convergent_lines(skolem_L7777, reverse_line(skolem_N7979)))
% 293.38/42.79
% 293.38/42.79 [21776] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_N7979) | left_convergent_lines(skolem_L7777, reverse_line(skolem_N7979)))
% 293.38/42.79 -> [21780] left_convergent_lines(skolem_L7777, skolem_N7979)
% 293.38/42.79 -> [21781] left_convergent_lines(skolem_L7777, reverse_line(skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [21781] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [23484] ~(left_apart_point(A39_1882_9, L40_1882_9) | left_apart_point(A39_1882_9, reverse_line(L40_1882_9)))
% 293.38/42.79
% 293.38/42.79 [23484] ALPHA_NOT_OR : ~(left_apart_point(A39_1882_9, L40_1882_9) | left_apart_point(A39_1882_9, reverse_line(L40_1882_9)))
% 293.38/42.79 -> [23485] ~left_apart_point(A39_1882_9, L40_1882_9), ~left_apart_point(A39_1882_9, reverse_line(L40_1882_9))
% 293.38/42.79
% 293.38/42.79 [23485] CLOSURE : ~left_apart_point(A39_1882_9, L40_1882_9)
% 293.38/42.79
% 293.38/42.79 [21780] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [23514] ~(left_apart_point(A39_1891_9, L40_1891_9) | left_apart_point(A39_1891_9, reverse_line(L40_1891_9)))
% 293.38/42.79
% 293.38/42.79 [23514] ALPHA_NOT_OR : ~(left_apart_point(A39_1891_9, L40_1891_9) | left_apart_point(A39_1891_9, reverse_line(L40_1891_9)))
% 293.38/42.79 -> [23634] ~left_apart_point(A39_1891_9, L40_1891_9), ~left_apart_point(A39_1891_9, reverse_line(L40_1891_9))
% 293.38/42.79
% 293.38/42.79 [23634] CLOSURE : ~left_apart_point(A39_1891_9, L40_1891_9)
% 293.38/42.79
% 293.38/42.79 [21775] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_N7979) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979)))
% 293.38/42.79 -> [23368] ~unequally_directed_lines(skolem_L7777, skolem_N7979)
% 293.38/42.79 -> [23369] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [23368] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_N7979)
% 293.38/42.79
% 293.38/42.79 [23369] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979))
% 293.38/42.79
% 293.38/42.79 [19071] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_108_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_108_6)))
% 293.38/42.79 -> [19553] unequally_directed_lines(skolem_N7979, N34_108_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_108_6))
% 293.38/42.79
% 293.38/42.79 [19553] 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)))))
% 293.38/42.79 -> [20329] ((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)))))
% 293.38/42.79
% 293.38/42.79 [20329] 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)))))
% 293.38/42.79 -> [20333] ~(line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181)))
% 293.38/42.79 -> [20334] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 293.38/42.79
% 293.38/42.79 [20333] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181)))
% 293.38/42.79 -> [20400] ~line(skolem_L7777)
% 293.38/42.79 -> [20401] ~line(line_connecting(skolem_C8282, skolem_B8181))
% 293.38/42.79
% 293.38/42.79 [20400] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.79 -> [20549] ((unequally_directed_lines(skolem_N7979, M38_774_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_774_8))) => (left_convergent_lines(skolem_N7979, M38_774_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_774_8))))
% 293.38/42.79
% 293.38/42.79 [20549] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_774_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_774_8))) => (left_convergent_lines(skolem_N7979, M38_774_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_774_8))))
% 293.38/42.79 -> [20550] ~(unequally_directed_lines(skolem_N7979, M38_774_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_774_8)))
% 293.38/42.79 -> [20551] (left_convergent_lines(skolem_N7979, M38_774_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_774_8)))
% 293.38/42.79
% 293.38/42.79 [20551] BETA_OR : (left_convergent_lines(skolem_N7979, M38_774_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_774_8)))
% 293.38/42.79 -> [20554] left_convergent_lines(skolem_N7979, M38_774_8)
% 293.38/42.79 -> [20555] left_convergent_lines(skolem_N7979, reverse_line(M38_774_8))
% 293.38/42.79
% 293.38/42.79 [20555] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [20709] ~(left_apart_point(A39_1512_9, L40_1512_9) | left_apart_point(A39_1512_9, reverse_line(L40_1512_9)))
% 293.38/42.79
% 293.38/42.79 [20709] ALPHA_NOT_OR : ~(left_apart_point(A39_1512_9, L40_1512_9) | left_apart_point(A39_1512_9, reverse_line(L40_1512_9)))
% 293.38/42.79 -> [20710] ~left_apart_point(A39_1512_9, L40_1512_9), ~left_apart_point(A39_1512_9, reverse_line(L40_1512_9))
% 293.38/42.79
% 293.38/42.79 [20710] CLOSURE : ~left_apart_point(A39_1512_9, L40_1512_9)
% 293.38/42.79
% 293.38/42.79 [20554] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [20753] ~(left_apart_point(A39_1519_9, L40_1519_9) | left_apart_point(A39_1519_9, reverse_line(L40_1519_9)))
% 293.38/42.79
% 293.38/42.79 [20753] ALPHA_NOT_OR : ~(left_apart_point(A39_1519_9, L40_1519_9) | left_apart_point(A39_1519_9, reverse_line(L40_1519_9)))
% 293.38/42.79 -> [20754] ~left_apart_point(A39_1519_9, L40_1519_9), ~left_apart_point(A39_1519_9, reverse_line(L40_1519_9))
% 293.38/42.79
% 293.38/42.79 [20754] CLOSURE : ~left_apart_point(A39_1519_9, L40_1519_9)
% 293.38/42.79
% 293.38/42.79 [20550] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_774_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_774_8)))
% 293.38/42.79 -> [20580] ~unequally_directed_lines(skolem_N7979, M38_774_8)
% 293.38/42.79 -> [20581] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_774_8))
% 293.38/42.79
% 293.38/42.79 [20581] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_774_8))
% 293.38/42.79
% 293.38/42.79 [20580] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_774_8)
% 293.38/42.79
% 293.38/42.79 [20401] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.79 -> [20513] ((unequally_directed_lines(skolem_N7979, M38_771_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_771_8))) => (left_convergent_lines(skolem_N7979, M38_771_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_771_8))))
% 293.38/42.79
% 293.38/42.79 [20513] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_771_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_771_8))) => (left_convergent_lines(skolem_N7979, M38_771_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_771_8))))
% 293.38/42.79 -> [20515] ~(unequally_directed_lines(skolem_N7979, M38_771_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_771_8)))
% 293.38/42.79 -> [20516] (left_convergent_lines(skolem_N7979, M38_771_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_771_8)))
% 293.38/42.79
% 293.38/42.79 [20515] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_771_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_771_8)))
% 293.38/42.79 -> [20557] ~unequally_directed_lines(skolem_N7979, M38_771_8)
% 293.38/42.79 -> [20558] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_771_8))
% 293.38/42.79
% 293.38/42.79 [20558] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_771_8))
% 293.38/42.79
% 293.38/42.79 [20557] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_771_8)
% 293.38/42.79
% 293.38/42.79 [20516] BETA_OR : (left_convergent_lines(skolem_N7979, M38_771_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_771_8)))
% 293.38/42.79 -> [20521] left_convergent_lines(skolem_N7979, M38_771_8)
% 293.38/42.79 -> [20522] left_convergent_lines(skolem_N7979, reverse_line(M38_771_8))
% 293.38/42.79
% 293.38/42.79 [20521] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [20748] ~(left_apart_point(A39_1518_9, L40_1518_9) | left_apart_point(A39_1518_9, reverse_line(L40_1518_9)))
% 293.38/42.79
% 293.38/42.79 [20748] ALPHA_NOT_OR : ~(left_apart_point(A39_1518_9, L40_1518_9) | left_apart_point(A39_1518_9, reverse_line(L40_1518_9)))
% 293.38/42.79 -> [20749] ~left_apart_point(A39_1518_9, L40_1518_9), ~left_apart_point(A39_1518_9, reverse_line(L40_1518_9))
% 293.38/42.79
% 293.38/42.79 [20749] CLOSURE : ~left_apart_point(A39_1518_9, L40_1518_9)
% 293.38/42.79
% 293.38/42.79 [20522] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [22176] ~(left_apart_point(A39_1698_9, L40_1698_9) | left_apart_point(A39_1698_9, reverse_line(L40_1698_9)))
% 293.38/42.79
% 293.38/42.79 [22176] ALPHA_NOT_OR : ~(left_apart_point(A39_1698_9, L40_1698_9) | left_apart_point(A39_1698_9, reverse_line(L40_1698_9)))
% 293.38/42.79 -> [22178] ~left_apart_point(A39_1698_9, L40_1698_9), ~left_apart_point(A39_1698_9, reverse_line(L40_1698_9))
% 293.38/42.79
% 293.38/42.79 [22178] CLOSURE : ~left_apart_point(A39_1698_9, L40_1698_9)
% 293.38/42.79
% 293.38/42.79 [20334] 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))))
% 293.38/42.79 -> [20339] unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 293.38/42.79 -> [20340] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))
% 293.38/42.79
% 293.38/42.79 [20339] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 293.38/42.79
% 293.38/42.79 [20340] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.79 -> [22785] ((unequally_directed_lines(skolem_N7979, M38_912_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_912_8))) => (left_convergent_lines(skolem_N7979, M38_912_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_912_8))))
% 293.38/42.79
% 293.38/42.79 [22785] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_912_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_912_8))) => (left_convergent_lines(skolem_N7979, M38_912_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_912_8))))
% 293.38/42.79 -> [22787] ~(unequally_directed_lines(skolem_N7979, M38_912_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_912_8)))
% 293.38/42.79 -> [22788] (left_convergent_lines(skolem_N7979, M38_912_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_912_8)))
% 293.38/42.79
% 293.38/42.79 [22788] BETA_OR : (left_convergent_lines(skolem_N7979, M38_912_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_912_8)))
% 293.38/42.79 -> [22793] left_convergent_lines(skolem_N7979, M38_912_8)
% 293.38/42.79 -> [22794] left_convergent_lines(skolem_N7979, reverse_line(M38_912_8))
% 293.38/42.79
% 293.38/42.79 [22794] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [22838] ~(left_apart_point(A39_1786_9, L40_1786_9) | left_apart_point(A39_1786_9, reverse_line(L40_1786_9)))
% 293.38/42.79
% 293.38/42.79 [22838] ALPHA_NOT_OR : ~(left_apart_point(A39_1786_9, L40_1786_9) | left_apart_point(A39_1786_9, reverse_line(L40_1786_9)))
% 293.38/42.79 -> [22840] ~left_apart_point(A39_1786_9, L40_1786_9), ~left_apart_point(A39_1786_9, reverse_line(L40_1786_9))
% 293.38/42.79
% 293.38/42.79 [22840] CLOSURE : ~left_apart_point(A39_1786_9, L40_1786_9)
% 293.38/42.79
% 293.38/42.79 [22793] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.79 -> [22853] ~(left_apart_point(A39_1788_9, L40_1788_9) | left_apart_point(A39_1788_9, reverse_line(L40_1788_9)))
% 293.38/42.79
% 293.38/42.79 [22853] ALPHA_NOT_OR : ~(left_apart_point(A39_1788_9, L40_1788_9) | left_apart_point(A39_1788_9, reverse_line(L40_1788_9)))
% 293.38/42.79 -> [22854] ~left_apart_point(A39_1788_9, L40_1788_9), ~left_apart_point(A39_1788_9, reverse_line(L40_1788_9))
% 293.38/42.79
% 293.38/42.79 [22854] CLOSURE : ~left_apart_point(A39_1788_9, L40_1788_9)
% 293.38/42.79
% 293.38/42.79 [22787] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_912_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_912_8)))
% 293.38/42.79 -> [22800] ~unequally_directed_lines(skolem_N7979, M38_912_8)
% 293.38/42.79 -> [22801] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_912_8))
% 293.38/42.79
% 293.38/42.79 [22800] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_912_8)
% 293.38/42.79
% 293.38/42.79 [22801] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_912_8))
% 293.38/42.79
% 293.38/42.79 [714] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.38/42.79 -> [1151] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 293.38/42.79 -> [1152] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.38/42.79
% 293.38/42.79 [1151] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.38/42.79 -> [1981] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.38/42.79
% 293.38/42.79 [1981] 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))))
% 293.38/42.79 -> [2037] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.38/42.79
% 293.38/42.79 [2037] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.38/42.79 -> [2038] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.79 -> [2039] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.38/42.79
% 293.38/42.79 [2038] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.79
% 293.38/42.79 [2039] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.38/42.79 -> [4159] distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.79 -> [4160] distinct_points(skolem_A8080, skolem_A8080)
% 293.38/42.79
% 293.38/42.79 [4160] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.38/42.79
% 293.38/42.79 [4159] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.38/42.79 -> [4589] ~distinct_lines(N27_125_3, N27_125_3)
% 293.38/42.79
% 293.38/42.79 [4589] 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))))
% 293.38/42.80 -> [4779] (distinct_lines(N27_125_3, N27_125_3) => (distinct_lines(N27_125_3, N27_125_3) | distinct_lines(N27_125_3, N27_125_3)))
% 293.38/42.80
% 293.38/42.80 [4779] BETA_IMPLY : (distinct_lines(N27_125_3, N27_125_3) => (distinct_lines(N27_125_3, N27_125_3) | distinct_lines(N27_125_3, N27_125_3)))
% 293.38/42.80 -> [4780] ~distinct_lines(N27_125_3, N27_125_3)
% 293.38/42.80 -> [4781] (distinct_lines(N27_125_3, N27_125_3) | distinct_lines(N27_125_3, N27_125_3))
% 293.38/42.80
% 293.38/42.80 [4781] BETA_OR : (distinct_lines(N27_125_3, N27_125_3) | distinct_lines(N27_125_3, N27_125_3))
% 293.38/42.80 -> [4787] distinct_lines(N27_125_3, N27_125_3)
% 293.38/42.80 -> [4788] distinct_lines(N27_125_3, N27_125_3)
% 293.38/42.80
% 293.38/42.80 [4788] CLOSURE : distinct_lines(N27_125_3, N27_125_3)
% 293.38/42.80
% 293.38/42.80 [4787] CLOSURE : distinct_lines(N27_125_3, N27_125_3)
% 293.38/42.80
% 293.38/42.80 [4780] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.38/42.80 -> [5137] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [5137] 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))))
% 293.38/42.80 -> [5198] (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)))
% 293.38/42.80
% 293.38/42.80 [5198] 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)))
% 293.38/42.80 -> [5199] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80 -> [5200] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [5199] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [5200] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.38/42.80 -> [8178] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80 -> [8179] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [8178] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [8179] 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))))))
% 293.38/42.80 -> [9644] ((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)))))
% 293.38/42.80
% 293.38/42.80 [9644] 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)))))
% 293.38/42.80 -> [9649] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.80 -> [9650] ((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))))
% 293.38/42.80
% 293.38/42.80 [9649] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.80 -> [9674] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.80 -> [9675] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [9675] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [9674] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.80
% 293.38/42.80 [9650] 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))))
% 293.38/42.80 -> [10452] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [10453] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.80
% 293.38/42.80 [10452] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [10467] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [10467] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [10453] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [10455] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [10455] 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)))))
% 293.38/42.80 -> [10609] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.38/42.80
% 293.38/42.80 [10609] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.38/42.80 -> [10610] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.38/42.80 -> [10611] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.80
% 293.38/42.80 [10610] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.38/42.80 -> [10628] ~line(skolem_M7878)
% 293.38/42.80 -> [10629] ~line(skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [10628] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.80 -> [10696] ((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))))
% 293.38/42.80
% 293.38/42.80 [10696] 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))))
% 293.38/42.80 -> [10699] ~(unequally_directed_lines(skolem_N7979, M38_195_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_195_8)))
% 293.38/42.80 -> [10700] (left_convergent_lines(skolem_N7979, M38_195_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_195_8)))
% 293.38/42.80
% 293.38/42.80 [10699] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_195_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_195_8)))
% 293.38/42.80 -> [10726] ~unequally_directed_lines(skolem_N7979, M38_195_8)
% 293.38/42.80 -> [10727] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_195_8))
% 293.38/42.80
% 293.38/42.80 [10727] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_195_8))
% 293.38/42.80
% 293.38/42.80 [10726] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_195_8)
% 293.38/42.80
% 293.38/42.80 [10700] BETA_OR : (left_convergent_lines(skolem_N7979, M38_195_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_195_8)))
% 293.38/42.80 -> [10705] left_convergent_lines(skolem_N7979, M38_195_8)
% 293.38/42.80 -> [10706] left_convergent_lines(skolem_N7979, reverse_line(M38_195_8))
% 293.38/42.80
% 293.38/42.80 [10705] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [10778] ~(left_apart_point(A39_375_9, L40_375_9) | left_apart_point(A39_375_9, reverse_line(L40_375_9)))
% 293.38/42.80
% 293.38/42.80 [10778] ALPHA_NOT_OR : ~(left_apart_point(A39_375_9, L40_375_9) | left_apart_point(A39_375_9, reverse_line(L40_375_9)))
% 293.38/42.80 -> [10780] ~left_apart_point(A39_375_9, L40_375_9), ~left_apart_point(A39_375_9, reverse_line(L40_375_9))
% 293.38/42.80
% 293.38/42.80 [10780] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.38/42.80 -> [10874] ~(left_convergent_lines(L41_71_10, M42_71_10) | left_convergent_lines(L41_71_10, reverse_line(M42_71_10)))
% 293.38/42.80
% 293.38/42.80 [10874] ALPHA_NOT_OR : ~(left_convergent_lines(L41_71_10, M42_71_10) | left_convergent_lines(L41_71_10, reverse_line(M42_71_10)))
% 293.38/42.80 -> [10877] ~left_convergent_lines(L41_71_10, M42_71_10), ~left_convergent_lines(L41_71_10, reverse_line(M42_71_10))
% 293.38/42.80
% 293.38/42.80 [10877] CLOSURE : ~left_convergent_lines(L41_71_10, M42_71_10)
% 293.38/42.80
% 293.38/42.80 [10706] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [10756] ~(left_apart_point(A39_369_9, L40_369_9) | left_apart_point(A39_369_9, reverse_line(L40_369_9)))
% 293.38/42.80
% 293.38/42.80 [10756] ALPHA_NOT_OR : ~(left_apart_point(A39_369_9, L40_369_9) | left_apart_point(A39_369_9, reverse_line(L40_369_9)))
% 293.38/42.80 -> [10757] ~left_apart_point(A39_369_9, L40_369_9), ~left_apart_point(A39_369_9, reverse_line(L40_369_9))
% 293.38/42.80
% 293.38/42.80 [10757] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.38/42.80 -> [10883] ~(left_convergent_lines(L41_72_10, M42_72_10) | left_convergent_lines(L41_72_10, reverse_line(M42_72_10)))
% 293.38/42.80
% 293.38/42.80 [10883] ALPHA_NOT_OR : ~(left_convergent_lines(L41_72_10, M42_72_10) | left_convergent_lines(L41_72_10, reverse_line(M42_72_10)))
% 293.38/42.80 -> [10884] ~left_convergent_lines(L41_72_10, M42_72_10), ~left_convergent_lines(L41_72_10, reverse_line(M42_72_10))
% 293.38/42.80
% 293.38/42.80 [10884] CLOSURE : ~left_convergent_lines(L41_72_10, M42_72_10)
% 293.38/42.80
% 293.38/42.80 [10629] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.80 -> [10667] ((unequally_directed_lines(skolem_N7979, M38_193_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_193_8))) => (left_convergent_lines(skolem_N7979, M38_193_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_193_8))))
% 293.38/42.80
% 293.38/42.80 [10667] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_193_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_193_8))) => (left_convergent_lines(skolem_N7979, M38_193_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_193_8))))
% 293.38/42.80 -> [10668] ~(unequally_directed_lines(skolem_N7979, M38_193_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_193_8)))
% 293.38/42.80 -> [10669] (left_convergent_lines(skolem_N7979, M38_193_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_193_8)))
% 293.38/42.80
% 293.38/42.80 [10669] BETA_OR : (left_convergent_lines(skolem_N7979, M38_193_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_193_8)))
% 293.38/42.80 -> [10672] left_convergent_lines(skolem_N7979, M38_193_8)
% 293.38/42.80 -> [10673] left_convergent_lines(skolem_N7979, reverse_line(M38_193_8))
% 293.38/42.80
% 293.38/42.80 [10673] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [10745] ~(left_apart_point(A39_367_9, L40_367_9) | left_apart_point(A39_367_9, reverse_line(L40_367_9)))
% 293.38/42.80
% 293.38/42.80 [10745] ALPHA_NOT_OR : ~(left_apart_point(A39_367_9, L40_367_9) | left_apart_point(A39_367_9, reverse_line(L40_367_9)))
% 293.38/42.80 -> [10746] ~left_apart_point(A39_367_9, L40_367_9), ~left_apart_point(A39_367_9, reverse_line(L40_367_9))
% 293.38/42.80
% 293.38/42.80 [10746] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.38/42.80 -> [10861] ~(left_convergent_lines(L41_69_10, M42_69_10) | left_convergent_lines(L41_69_10, reverse_line(M42_69_10)))
% 293.38/42.80
% 293.38/42.80 [10861] ALPHA_NOT_OR : ~(left_convergent_lines(L41_69_10, M42_69_10) | left_convergent_lines(L41_69_10, reverse_line(M42_69_10)))
% 293.38/42.80 -> [10864] ~left_convergent_lines(L41_69_10, M42_69_10), ~left_convergent_lines(L41_69_10, reverse_line(M42_69_10))
% 293.38/42.80
% 293.38/42.80 [10864] CLOSURE : ~left_convergent_lines(L41_69_10, M42_69_10)
% 293.38/42.80
% 293.38/42.80 [10672] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [10763] ~(left_apart_point(A39_371_9, L40_371_9) | left_apart_point(A39_371_9, reverse_line(L40_371_9)))
% 293.38/42.80
% 293.38/42.80 [10763] ALPHA_NOT_OR : ~(left_apart_point(A39_371_9, L40_371_9) | left_apart_point(A39_371_9, reverse_line(L40_371_9)))
% 293.38/42.80 -> [10765] ~left_apart_point(A39_371_9, L40_371_9), ~left_apart_point(A39_371_9, reverse_line(L40_371_9))
% 293.38/42.80
% 293.38/42.80 [10765] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.38/42.80 -> [10867] ~(left_convergent_lines(L41_70_10, M42_70_10) | left_convergent_lines(L41_70_10, reverse_line(M42_70_10)))
% 293.38/42.80
% 293.38/42.80 [10867] ALPHA_NOT_OR : ~(left_convergent_lines(L41_70_10, M42_70_10) | left_convergent_lines(L41_70_10, reverse_line(M42_70_10)))
% 293.38/42.80 -> [10868] ~left_convergent_lines(L41_70_10, M42_70_10), ~left_convergent_lines(L41_70_10, reverse_line(M42_70_10))
% 293.38/42.80
% 293.38/42.80 [10868] CLOSURE : ~left_convergent_lines(L41_70_10, M42_70_10)
% 293.38/42.80
% 293.38/42.80 [10668] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_193_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_193_8)))
% 293.38/42.80 -> [10711] ~unequally_directed_lines(skolem_N7979, M38_193_8)
% 293.38/42.80 -> [10712] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_193_8))
% 293.38/42.80
% 293.38/42.80 [10712] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_193_8))
% 293.38/42.80
% 293.38/42.80 [10711] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_193_8)
% 293.38/42.80
% 293.38/42.80 [10611] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [10613] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80 -> [10614] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [10613] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [10614] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.80 -> [10678] ((unequally_directed_lines(skolem_N7979, M38_194_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_194_8))) => (left_convergent_lines(skolem_N7979, M38_194_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_194_8))))
% 293.38/42.80
% 293.38/42.80 [10678] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_194_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_194_8))) => (left_convergent_lines(skolem_N7979, M38_194_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_194_8))))
% 293.38/42.80 -> [10683] ~(unequally_directed_lines(skolem_N7979, M38_194_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_194_8)))
% 293.38/42.80 -> [10684] (left_convergent_lines(skolem_N7979, M38_194_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_194_8)))
% 293.38/42.80
% 293.38/42.80 [10683] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_194_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_194_8)))
% 293.38/42.80 -> [10718] ~unequally_directed_lines(skolem_N7979, M38_194_8)
% 293.38/42.80 -> [10719] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_194_8))
% 293.38/42.80
% 293.38/42.80 [10719] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_194_8))
% 293.38/42.80
% 293.38/42.80 [10718] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_194_8)
% 293.38/42.80
% 293.38/42.80 [10684] BETA_OR : (left_convergent_lines(skolem_N7979, M38_194_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_194_8)))
% 293.38/42.80 -> [10686] left_convergent_lines(skolem_N7979, M38_194_8)
% 293.38/42.80 -> [10687] left_convergent_lines(skolem_N7979, reverse_line(M38_194_8))
% 293.38/42.80
% 293.38/42.80 [10686] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [10768] ~(left_apart_point(A39_373_9, L40_373_9) | left_apart_point(A39_373_9, reverse_line(L40_373_9)))
% 293.38/42.80
% 293.38/42.80 [10768] ALPHA_NOT_OR : ~(left_apart_point(A39_373_9, L40_373_9) | left_apart_point(A39_373_9, reverse_line(L40_373_9)))
% 293.38/42.80 -> [10769] ~left_apart_point(A39_373_9, L40_373_9), ~left_apart_point(A39_373_9, reverse_line(L40_373_9))
% 293.38/42.80
% 293.38/42.80 [10769] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.38/42.80 -> [11200] ~(left_convergent_lines(L41_75_10, M42_75_10) | left_convergent_lines(L41_75_10, reverse_line(M42_75_10)))
% 293.38/42.80
% 293.38/42.80 [11200] ALPHA_NOT_OR : ~(left_convergent_lines(L41_75_10, M42_75_10) | left_convergent_lines(L41_75_10, reverse_line(M42_75_10)))
% 293.38/42.80 -> [11203] ~left_convergent_lines(L41_75_10, M42_75_10), ~left_convergent_lines(L41_75_10, reverse_line(M42_75_10))
% 293.38/42.80
% 293.38/42.80 [11203] CLOSURE : ~left_convergent_lines(L41_75_10, M42_75_10)
% 293.38/42.80
% 293.38/42.80 [10687] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [10772] ~(left_apart_point(A39_374_9, L40_374_9) | left_apart_point(A39_374_9, reverse_line(L40_374_9)))
% 293.38/42.80
% 293.38/42.80 [10772] ALPHA_NOT_OR : ~(left_apart_point(A39_374_9, L40_374_9) | left_apart_point(A39_374_9, reverse_line(L40_374_9)))
% 293.38/42.80 -> [10773] ~left_apart_point(A39_374_9, L40_374_9), ~left_apart_point(A39_374_9, reverse_line(L40_374_9))
% 293.38/42.80
% 293.38/42.80 [10773] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.38/42.80 -> [12808] ~(left_convergent_lines(L41_83_10, M42_83_10) | left_convergent_lines(L41_83_10, reverse_line(M42_83_10)))
% 293.38/42.80
% 293.38/42.80 [12808] ALPHA_NOT_OR : ~(left_convergent_lines(L41_83_10, M42_83_10) | left_convergent_lines(L41_83_10, reverse_line(M42_83_10)))
% 293.38/42.80 -> [12810] ~left_convergent_lines(L41_83_10, M42_83_10), ~left_convergent_lines(L41_83_10, reverse_line(M42_83_10))
% 293.38/42.80
% 293.38/42.80 [12810] CLOSURE : ~left_convergent_lines(L41_83_10, M42_83_10)
% 293.38/42.80
% 293.38/42.80 [1152] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.38/42.80 -> [1156] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.38/42.80
% 293.38/42.80 [1156] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.38/42.80 -> [1159] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.38/42.80 -> [1160] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [1159] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.38/42.80 -> [2014] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.38/42.80
% 293.38/42.80 [2014] 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))))
% 293.38/42.80 -> [2053] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.38/42.80
% 293.38/42.80 [2053] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.38/42.80 -> [2054] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.80 -> [2055] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.38/42.80
% 293.38/42.80 [2054] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.80
% 293.38/42.80 [2055] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.38/42.80 -> [2413] distinct_points(skolem_B8181, skolem_B8181)
% 293.38/42.80 -> [2414] distinct_points(skolem_A8080, skolem_B8181)
% 293.38/42.80
% 293.38/42.80 [2413] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.38/42.80
% 293.38/42.80 [2414] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.38/42.80 -> [2514] ~distinct_lines(L25_26_3, L25_26_3)
% 293.38/42.80
% 293.38/42.80 [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))))
% 293.38/42.80 -> [2524] (distinct_lines(L25_26_3, L25_26_3) => (distinct_lines(L25_26_3, L25_26_3) | distinct_lines(L25_26_3, L25_26_3)))
% 293.38/42.80
% 293.38/42.80 [2524] BETA_IMPLY : (distinct_lines(L25_26_3, L25_26_3) => (distinct_lines(L25_26_3, L25_26_3) | distinct_lines(L25_26_3, L25_26_3)))
% 293.38/42.80 -> [2525] ~distinct_lines(L25_26_3, L25_26_3)
% 293.38/42.80 -> [2526] (distinct_lines(L25_26_3, L25_26_3) | distinct_lines(L25_26_3, L25_26_3))
% 293.38/42.80
% 293.38/42.80 [2526] BETA_OR : (distinct_lines(L25_26_3, L25_26_3) | distinct_lines(L25_26_3, L25_26_3))
% 293.38/42.80 -> [2528] distinct_lines(L25_26_3, L25_26_3)
% 293.38/42.80 -> [2529] distinct_lines(L25_26_3, L25_26_3)
% 293.38/42.80
% 293.38/42.80 [2529] CLOSURE : distinct_lines(L25_26_3, L25_26_3)
% 293.38/42.80
% 293.38/42.80 [2528] CLOSURE : distinct_lines(L25_26_3, L25_26_3)
% 293.38/42.80
% 293.38/42.80 [2525] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.38/42.80 -> [2549] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [2549] 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))))
% 293.38/42.80 -> [2562] (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)))
% 293.38/42.80
% 293.38/42.80 [2562] 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)))
% 293.38/42.80 -> [2563] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80 -> [2564] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [2563] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [2564] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.38/42.80 -> [2647] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80 -> [2648] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [2647] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [2648] 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))))))
% 293.38/42.80 -> [2757] ((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)))))
% 293.38/42.80
% 293.38/42.80 [2757] 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)))))
% 293.38/42.80 -> [2758] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.80 -> [2759] ((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))))
% 293.38/42.80
% 293.38/42.80 [2758] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.80 -> [2835] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.80 -> [2836] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [2836] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [2835] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.80
% 293.38/42.80 [2759] 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))))
% 293.38/42.80 -> [3207] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [3208] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.80
% 293.38/42.80 [3207] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [3217] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [3217] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [3208] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [3209] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [3209] 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)))))
% 293.38/42.80 -> [3234] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.38/42.80
% 293.38/42.80 [3234] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.38/42.80 -> [3235] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.38/42.80 -> [3236] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.80
% 293.38/42.80 [3236] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [3239] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80 -> [3240] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [3239] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [3240] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.80 -> [3543] ((unequally_directed_lines(skolem_N7979, M38_19_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_19_8))) => (left_convergent_lines(skolem_N7979, M38_19_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_19_8))))
% 293.38/42.80
% 293.38/42.80 [3543] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_19_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_19_8))) => (left_convergent_lines(skolem_N7979, M38_19_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_19_8))))
% 293.38/42.80 -> [3544] ~(unequally_directed_lines(skolem_N7979, M38_19_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_19_8)))
% 293.38/42.80 -> [3545] (left_convergent_lines(skolem_N7979, M38_19_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_19_8)))
% 293.38/42.80
% 293.38/42.80 [3545] BETA_OR : (left_convergent_lines(skolem_N7979, M38_19_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_19_8)))
% 293.38/42.80 -> [3546] left_convergent_lines(skolem_N7979, M38_19_8)
% 293.38/42.80 -> [3547] left_convergent_lines(skolem_N7979, reverse_line(M38_19_8))
% 293.38/42.80
% 293.38/42.80 [3547] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [3595] ~(left_apart_point(A39_28_9, L40_28_9) | left_apart_point(A39_28_9, reverse_line(L40_28_9)))
% 293.38/42.80
% 293.38/42.80 [3595] ALPHA_NOT_OR : ~(left_apart_point(A39_28_9, L40_28_9) | left_apart_point(A39_28_9, reverse_line(L40_28_9)))
% 293.38/42.80 -> [3596] ~left_apart_point(A39_28_9, L40_28_9), ~left_apart_point(A39_28_9, reverse_line(L40_28_9))
% 293.38/42.80
% 293.38/42.80 [3596] CLOSURE : ~left_apart_point(A39_28_9, L40_28_9)
% 293.38/42.80
% 293.38/42.80 [3546] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [3607] ~(left_apart_point(A39_29_9, L40_29_9) | left_apart_point(A39_29_9, reverse_line(L40_29_9)))
% 293.38/42.80
% 293.38/42.80 [3607] ALPHA_NOT_OR : ~(left_apart_point(A39_29_9, L40_29_9) | left_apart_point(A39_29_9, reverse_line(L40_29_9)))
% 293.38/42.80 -> [3610] ~left_apart_point(A39_29_9, L40_29_9), ~left_apart_point(A39_29_9, reverse_line(L40_29_9))
% 293.38/42.80
% 293.38/42.80 [3610] CLOSURE : ~left_apart_point(A39_29_9, L40_29_9)
% 293.38/42.80
% 293.38/42.80 [3544] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_19_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_19_8)))
% 293.38/42.80 -> [3550] ~unequally_directed_lines(skolem_N7979, M38_19_8)
% 293.38/42.80 -> [3551] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_19_8))
% 293.38/42.80
% 293.38/42.80 [3551] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_19_8))
% 293.38/42.80
% 293.38/42.80 [3550] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_19_8)
% 293.38/42.80
% 293.38/42.80 [3235] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.38/42.80 -> [3314] ~line(skolem_M7878)
% 293.38/42.80 -> [3315] ~line(skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [3315] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.80 -> [3341] ((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))))
% 293.38/42.80
% 293.38/42.80 [3341] 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))))
% 293.38/42.80 -> [3342] ~(unequally_directed_lines(skolem_N7979, M38_16_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_16_8)))
% 293.38/42.80 -> [3343] (left_convergent_lines(skolem_N7979, M38_16_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_16_8)))
% 293.38/42.80
% 293.38/42.80 [3342] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_16_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_16_8)))
% 293.38/42.80 -> [3362] ~unequally_directed_lines(skolem_N7979, M38_16_8)
% 293.38/42.80 -> [3363] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_16_8))
% 293.38/42.80
% 293.38/42.80 [3362] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_16_8)
% 293.38/42.80
% 293.38/42.80 [3363] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_16_8))
% 293.38/42.80
% 293.38/42.80 [3343] BETA_OR : (left_convergent_lines(skolem_N7979, M38_16_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_16_8)))
% 293.38/42.80 -> [3346] left_convergent_lines(skolem_N7979, M38_16_8)
% 293.38/42.80 -> [3347] left_convergent_lines(skolem_N7979, reverse_line(M38_16_8))
% 293.38/42.80
% 293.38/42.80 [3347] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [3668] ~(left_apart_point(A39_33_9, L40_33_9) | left_apart_point(A39_33_9, reverse_line(L40_33_9)))
% 293.38/42.80
% 293.38/42.80 [3668] ALPHA_NOT_OR : ~(left_apart_point(A39_33_9, L40_33_9) | left_apart_point(A39_33_9, reverse_line(L40_33_9)))
% 293.38/42.80 -> [3669] ~left_apart_point(A39_33_9, L40_33_9), ~left_apart_point(A39_33_9, reverse_line(L40_33_9))
% 293.38/42.80
% 293.38/42.80 [3669] CLOSURE : ~left_apart_point(A39_33_9, L40_33_9)
% 293.38/42.80
% 293.38/42.80 [3346] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [3660] ~(left_apart_point(A39_32_9, L40_32_9) | left_apart_point(A39_32_9, reverse_line(L40_32_9)))
% 293.38/42.80
% 293.38/42.80 [3660] ALPHA_NOT_OR : ~(left_apart_point(A39_32_9, L40_32_9) | left_apart_point(A39_32_9, reverse_line(L40_32_9)))
% 293.38/42.80 -> [3730] ~left_apart_point(A39_32_9, L40_32_9), ~left_apart_point(A39_32_9, reverse_line(L40_32_9))
% 293.38/42.80
% 293.38/42.80 [3730] CLOSURE : ~left_apart_point(A39_32_9, L40_32_9)
% 293.38/42.80
% 293.38/42.80 [3314] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.80 -> [3351] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.38/42.80
% 293.38/42.80 [3351] 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))))
% 293.38/42.80 -> [3354] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [3355] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.80
% 293.38/42.80 [3355] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [3358] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.38/42.80 -> [3359] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [3359] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [3651] ~(left_apart_point(A39_30_9, L40_30_9) | left_apart_point(A39_30_9, reverse_line(L40_30_9)))
% 293.38/42.80
% 293.38/42.80 [3651] ALPHA_NOT_OR : ~(left_apart_point(A39_30_9, L40_30_9) | left_apart_point(A39_30_9, reverse_line(L40_30_9)))
% 293.38/42.80 -> [3652] ~left_apart_point(A39_30_9, L40_30_9), ~left_apart_point(A39_30_9, reverse_line(L40_30_9))
% 293.38/42.80
% 293.38/42.80 [3652] CLOSURE : ~left_apart_point(A39_30_9, L40_30_9)
% 293.38/42.80
% 293.38/42.80 [3358] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [3657] ~(left_apart_point(A39_31_9, L40_31_9) | left_apart_point(A39_31_9, reverse_line(L40_31_9)))
% 293.38/42.80
% 293.38/42.80 [3657] ALPHA_NOT_OR : ~(left_apart_point(A39_31_9, L40_31_9) | left_apart_point(A39_31_9, reverse_line(L40_31_9)))
% 293.38/42.80 -> [3658] ~left_apart_point(A39_31_9, L40_31_9), ~left_apart_point(A39_31_9, reverse_line(L40_31_9))
% 293.38/42.80
% 293.38/42.80 [3658] CLOSURE : ~left_apart_point(A39_31_9, L40_31_9)
% 293.38/42.80
% 293.38/42.80 [3354] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [3385] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.80 -> [3386] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [3386] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [3385] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [1160] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.38/42.80 -> [2086] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.38/42.80
% 293.38/42.80 [2086] 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))))
% 293.38/42.80 -> [2158] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.38/42.80
% 293.38/42.80 [2158] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.38/42.80 -> [2163] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.80 -> [2164] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.38/42.80
% 293.38/42.80 [2163] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.80
% 293.38/42.80 [2164] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.38/42.80 -> [6349] distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.80 -> [6350] distinct_points(skolem_A8080, skolem_A8080)
% 293.38/42.80
% 293.38/42.80 [6350] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.38/42.80
% 293.38/42.80 [6349] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.38/42.80 -> [8470] ~distinct_lines(N27_265_3, N27_265_3)
% 293.38/42.80
% 293.38/42.80 [8470] 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))))
% 293.38/42.80 -> [8737] (distinct_lines(N27_265_3, N27_265_3) => (distinct_lines(N27_265_3, N27_265_3) | distinct_lines(N27_265_3, N27_265_3)))
% 293.38/42.80
% 293.38/42.80 [8737] BETA_IMPLY : (distinct_lines(N27_265_3, N27_265_3) => (distinct_lines(N27_265_3, N27_265_3) | distinct_lines(N27_265_3, N27_265_3)))
% 293.38/42.80 -> [8738] ~distinct_lines(N27_265_3, N27_265_3)
% 293.38/42.80 -> [8739] (distinct_lines(N27_265_3, N27_265_3) | distinct_lines(N27_265_3, N27_265_3))
% 293.38/42.80
% 293.38/42.80 [8739] BETA_OR : (distinct_lines(N27_265_3, N27_265_3) | distinct_lines(N27_265_3, N27_265_3))
% 293.38/42.80 -> [8741] distinct_lines(N27_265_3, N27_265_3)
% 293.38/42.80 -> [8742] distinct_lines(N27_265_3, N27_265_3)
% 293.38/42.80
% 293.38/42.80 [8741] CLOSURE : distinct_lines(N27_265_3, N27_265_3)
% 293.38/42.80
% 293.38/42.80 [8742] CLOSURE : distinct_lines(N27_265_3, N27_265_3)
% 293.38/42.80
% 293.38/42.80 [8738] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.38/42.80 -> [9086] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [9086] 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))))
% 293.38/42.80 -> [9449] (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))))
% 293.38/42.80
% 293.38/42.80 [9449] 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))))
% 293.38/42.80 -> [9450] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80 -> [9451] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.38/42.80
% 293.38/42.80 [9450] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [9451] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.38/42.80 -> [17722] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80 -> [17723] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [17723] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [17722] 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))))))
% 293.38/42.80 -> [18391] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_244_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_244_6))) | (unequally_directed_lines(skolem_N7979, N34_244_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_244_6)))))
% 293.38/42.80
% 293.38/42.80 [18391] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_244_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_244_6))) | (unequally_directed_lines(skolem_N7979, N34_244_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_244_6)))))
% 293.38/42.80 -> [18393] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.80 -> [18394] ((unequally_directed_lines(skolem_M7878, N34_244_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_244_6))) | (unequally_directed_lines(skolem_N7979, N34_244_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_244_6))))
% 293.38/42.80
% 293.38/42.80 [18393] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.80 -> [18413] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.80 -> [18414] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [18414] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [18413] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.80
% 293.38/42.80 [18394] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_244_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_244_6))) | (unequally_directed_lines(skolem_N7979, N34_244_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_244_6))))
% 293.38/42.80 -> [24331] (unequally_directed_lines(skolem_M7878, N34_244_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_244_6)))
% 293.38/42.80 -> [24332] (unequally_directed_lines(skolem_N7979, N34_244_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_244_6)))
% 293.38/42.80
% 293.38/42.80 [24332] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_244_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_244_6)))
% 293.38/42.80 -> [24333] unequally_directed_lines(skolem_N7979, N34_244_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_244_6))
% 293.38/42.80
% 293.38/42.80 [24333] 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)))))
% 293.38/42.80 -> [24390] ((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))))
% 293.38/42.80
% 293.38/42.80 [24390] 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))))
% 293.38/42.80 -> [24391] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.38/42.80 -> [24392] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.38/42.80
% 293.38/42.80 [24392] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.38/42.80 -> [24397] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 293.38/42.80 -> [24398] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [24398] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [24397] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.80 -> [24867] ((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))))
% 293.38/42.80
% 293.38/42.80 [24867] 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))))
% 293.38/42.80 -> [24869] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.80 -> [24870] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.80
% 293.38/42.80 [24870] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.80 -> [24876] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.38/42.80 -> [24877] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [24877] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [24904] ~(left_apart_point(A39_2104_9, L40_2104_9) | left_apart_point(A39_2104_9, reverse_line(L40_2104_9)))
% 293.38/42.80
% 293.38/42.80 [24904] ALPHA_NOT_OR : ~(left_apart_point(A39_2104_9, L40_2104_9) | left_apart_point(A39_2104_9, reverse_line(L40_2104_9)))
% 293.38/42.80 -> [24905] ~left_apart_point(A39_2104_9, L40_2104_9), ~left_apart_point(A39_2104_9, reverse_line(L40_2104_9))
% 293.38/42.80
% 293.38/42.80 [24905] CLOSURE : ~left_apart_point(A39_2104_9, L40_2104_9)
% 293.38/42.80
% 293.38/42.80 [24876] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [24910] ~(left_apart_point(A39_2107_9, L40_2107_9) | left_apart_point(A39_2107_9, reverse_line(L40_2107_9)))
% 293.38/42.80
% 293.38/42.80 [24910] ALPHA_NOT_OR : ~(left_apart_point(A39_2107_9, L40_2107_9) | left_apart_point(A39_2107_9, reverse_line(L40_2107_9)))
% 293.38/42.80 -> [24914] ~left_apart_point(A39_2107_9, L40_2107_9), ~left_apart_point(A39_2107_9, reverse_line(L40_2107_9))
% 293.38/42.80
% 293.38/42.80 [24914] CLOSURE : ~left_apart_point(A39_2107_9, L40_2107_9)
% 293.38/42.80
% 293.38/42.80 [24869] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.80 -> [24885] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.80 -> [24886] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [24885] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.80
% 293.38/42.80 [24886] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [24391] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.38/42.80 -> [24410] ~line(reverse_line(skolem_N7979))
% 293.38/42.80 -> [24411] ~line(skolem_N7979)
% 293.38/42.80
% 293.38/42.80 [24411] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.80 -> [24443] ((unequally_directed_lines(skolem_N7979, M38_1031_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1031_8))) => (left_convergent_lines(skolem_N7979, M38_1031_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1031_8))))
% 293.38/42.80
% 293.38/42.80 [24443] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1031_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1031_8))) => (left_convergent_lines(skolem_N7979, M38_1031_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1031_8))))
% 293.38/42.80 -> [24444] ~(unequally_directed_lines(skolem_N7979, M38_1031_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1031_8)))
% 293.38/42.80 -> [24445] (left_convergent_lines(skolem_N7979, M38_1031_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1031_8)))
% 293.38/42.80
% 293.38/42.80 [24445] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1031_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1031_8)))
% 293.38/42.80 -> [24450] left_convergent_lines(skolem_N7979, M38_1031_8)
% 293.38/42.80 -> [24451] left_convergent_lines(skolem_N7979, reverse_line(M38_1031_8))
% 293.38/42.80
% 293.38/42.80 [24451] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [24586] ~(left_apart_point(A39_2046_9, L40_2046_9) | left_apart_point(A39_2046_9, reverse_line(L40_2046_9)))
% 293.38/42.80
% 293.38/42.80 [24586] ALPHA_NOT_OR : ~(left_apart_point(A39_2046_9, L40_2046_9) | left_apart_point(A39_2046_9, reverse_line(L40_2046_9)))
% 293.38/42.80 -> [24588] ~left_apart_point(A39_2046_9, L40_2046_9), ~left_apart_point(A39_2046_9, reverse_line(L40_2046_9))
% 293.38/42.80
% 293.38/42.80 [24588] CLOSURE : ~left_apart_point(A39_2046_9, L40_2046_9)
% 293.38/42.80
% 293.38/42.80 [24450] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [24605] ~(left_apart_point(A39_2048_9, L40_2048_9) | left_apart_point(A39_2048_9, reverse_line(L40_2048_9)))
% 293.38/42.80
% 293.38/42.80 [24605] ALPHA_NOT_OR : ~(left_apart_point(A39_2048_9, L40_2048_9) | left_apart_point(A39_2048_9, reverse_line(L40_2048_9)))
% 293.38/42.80 -> [24609] ~left_apart_point(A39_2048_9, L40_2048_9), ~left_apart_point(A39_2048_9, reverse_line(L40_2048_9))
% 293.38/42.80
% 293.38/42.80 [24609] CLOSURE : ~left_apart_point(A39_2048_9, L40_2048_9)
% 293.38/42.80
% 293.38/42.80 [24444] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1031_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1031_8)))
% 293.38/42.80 -> [24503] ~unequally_directed_lines(skolem_N7979, M38_1031_8)
% 293.38/42.80 -> [24504] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1031_8))
% 293.38/42.80
% 293.38/42.80 [24504] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1031_8))
% 293.38/42.80
% 293.38/42.80 [24503] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1031_8)
% 293.38/42.80
% 293.38/42.80 [24410] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.80 -> [24484] ((unequally_directed_lines(skolem_N7979, M38_1037_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1037_8))) => (left_convergent_lines(skolem_N7979, M38_1037_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1037_8))))
% 293.38/42.80
% 293.38/42.80 [24484] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1037_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1037_8))) => (left_convergent_lines(skolem_N7979, M38_1037_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1037_8))))
% 293.38/42.80 -> [24490] ~(unequally_directed_lines(skolem_N7979, M38_1037_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1037_8)))
% 293.38/42.80 -> [24491] (left_convergent_lines(skolem_N7979, M38_1037_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1037_8)))
% 293.38/42.80
% 293.38/42.80 [24491] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1037_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1037_8)))
% 293.38/42.80 -> [24496] left_convergent_lines(skolem_N7979, M38_1037_8)
% 293.38/42.80 -> [24497] left_convergent_lines(skolem_N7979, reverse_line(M38_1037_8))
% 293.38/42.80
% 293.38/42.80 [24496] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [24616] ~(left_apart_point(A39_2050_9, L40_2050_9) | left_apart_point(A39_2050_9, reverse_line(L40_2050_9)))
% 293.38/42.80
% 293.38/42.80 [24616] ALPHA_NOT_OR : ~(left_apart_point(A39_2050_9, L40_2050_9) | left_apart_point(A39_2050_9, reverse_line(L40_2050_9)))
% 293.38/42.80 -> [24617] ~left_apart_point(A39_2050_9, L40_2050_9), ~left_apart_point(A39_2050_9, reverse_line(L40_2050_9))
% 293.38/42.80
% 293.38/42.80 [24617] CLOSURE : ~left_apart_point(A39_2050_9, L40_2050_9)
% 293.38/42.80
% 293.38/42.80 [24497] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [24619] ~(left_apart_point(A39_2051_9, L40_2051_9) | left_apart_point(A39_2051_9, reverse_line(L40_2051_9)))
% 293.38/42.80
% 293.38/42.80 [24619] ALPHA_NOT_OR : ~(left_apart_point(A39_2051_9, L40_2051_9) | left_apart_point(A39_2051_9, reverse_line(L40_2051_9)))
% 293.38/42.80 -> [24622] ~left_apart_point(A39_2051_9, L40_2051_9), ~left_apart_point(A39_2051_9, reverse_line(L40_2051_9))
% 293.38/42.80
% 293.38/42.80 [24622] CLOSURE : ~left_apart_point(A39_2051_9, L40_2051_9)
% 293.38/42.80
% 293.38/42.80 [24490] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1037_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1037_8)))
% 293.38/42.80 -> [24534] ~unequally_directed_lines(skolem_N7979, M38_1037_8)
% 293.38/42.80 -> [24535] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1037_8))
% 293.38/42.80
% 293.38/42.80 [24535] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1037_8))
% 293.38/42.80
% 293.38/42.80 [24534] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1037_8)
% 293.38/42.80
% 293.38/42.80 [24331] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_244_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_244_6)))
% 293.38/42.80 -> [24338] unequally_directed_lines(skolem_M7878, N34_244_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_244_6))
% 293.38/42.80
% 293.38/42.80 [24338] 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)))))
% 293.38/42.80 -> [24371] ((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)))))
% 293.38/42.80
% 293.38/42.80 [24371] 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)))))
% 293.38/42.80 -> [24372] ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.38/42.80 -> [24373] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))
% 293.38/42.80
% 293.38/42.80 [24373] 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))))
% 293.38/42.80 -> [24376] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 293.38/42.80 -> [24377] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.38/42.80
% 293.38/42.80 [24376] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 293.38/42.80
% 293.38/42.80 [24377] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.80 -> [24854] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.38/42.80
% 293.38/42.80 [24854] 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))))
% 293.38/42.80 -> [24859] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [24860] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.80
% 293.38/42.80 [24860] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [24865] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.38/42.80 -> [24866] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [24866] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [24900] ~(left_apart_point(A39_2103_9, L40_2103_9) | left_apart_point(A39_2103_9, reverse_line(L40_2103_9)))
% 293.38/42.80
% 293.38/42.80 [24900] ALPHA_NOT_OR : ~(left_apart_point(A39_2103_9, L40_2103_9) | left_apart_point(A39_2103_9, reverse_line(L40_2103_9)))
% 293.38/42.80 -> [24901] ~left_apart_point(A39_2103_9, L40_2103_9), ~left_apart_point(A39_2103_9, reverse_line(L40_2103_9))
% 293.38/42.80
% 293.38/42.80 [24901] CLOSURE : ~left_apart_point(A39_2103_9, L40_2103_9)
% 293.38/42.80
% 293.38/42.80 [24865] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [24906] ~(left_apart_point(A39_2105_9, L40_2105_9) | left_apart_point(A39_2105_9, reverse_line(L40_2105_9)))
% 293.38/42.80
% 293.38/42.80 [24906] ALPHA_NOT_OR : ~(left_apart_point(A39_2105_9, L40_2105_9) | left_apart_point(A39_2105_9, reverse_line(L40_2105_9)))
% 293.38/42.80 -> [24908] ~left_apart_point(A39_2105_9, L40_2105_9), ~left_apart_point(A39_2105_9, reverse_line(L40_2105_9))
% 293.38/42.80
% 293.38/42.80 [24908] CLOSURE : ~left_apart_point(A39_2105_9, L40_2105_9)
% 293.38/42.80
% 293.38/42.80 [24859] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [24883] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.80 -> [24884] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [24884] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [24883] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [24372] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.38/42.80 -> [24401] ~line(skolem_L7777)
% 293.38/42.80 -> [24402] ~line(line_connecting(skolem_B8181, skolem_A8080))
% 293.38/42.80
% 293.38/42.80 [24402] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.80 -> [24516] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.38/42.80
% 293.38/42.80 [24516] 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))))
% 293.38/42.80 -> [24517] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [24518] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.80
% 293.38/42.80 [24517] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [24559] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.80 -> [24560] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [24560] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [24559] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [24518] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [24526] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.38/42.80 -> [24527] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [24526] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [24643] ~(left_apart_point(A39_2054_9, L40_2054_9) | left_apart_point(A39_2054_9, reverse_line(L40_2054_9)))
% 293.38/42.80
% 293.38/42.80 [24643] ALPHA_NOT_OR : ~(left_apart_point(A39_2054_9, L40_2054_9) | left_apart_point(A39_2054_9, reverse_line(L40_2054_9)))
% 293.38/42.80 -> [24646] ~left_apart_point(A39_2054_9, L40_2054_9), ~left_apart_point(A39_2054_9, reverse_line(L40_2054_9))
% 293.38/42.80
% 293.38/42.80 [24646] CLOSURE : ~left_apart_point(A39_2054_9, L40_2054_9)
% 293.38/42.80
% 293.38/42.80 [24527] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [24652] ~(left_apart_point(A39_2055_9, L40_2055_9) | left_apart_point(A39_2055_9, reverse_line(L40_2055_9)))
% 293.38/42.80
% 293.38/42.80 [24652] ALPHA_NOT_OR : ~(left_apart_point(A39_2055_9, L40_2055_9) | left_apart_point(A39_2055_9, reverse_line(L40_2055_9)))
% 293.38/42.80 -> [24654] ~left_apart_point(A39_2055_9, L40_2055_9), ~left_apart_point(A39_2055_9, reverse_line(L40_2055_9))
% 293.38/42.80
% 293.38/42.80 [24654] CLOSURE : ~left_apart_point(A39_2055_9, L40_2055_9)
% 293.38/42.80
% 293.38/42.80 [24401] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.80 -> [24561] ((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))))
% 293.38/42.80
% 293.38/42.80 [24561] 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))))
% 293.38/42.80 -> [24562] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.80 -> [24563] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.80
% 293.38/42.80 [24563] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.80 -> [24565] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.38/42.80 -> [24566] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [24565] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [24829] ~(left_apart_point(A39_2091_9, L40_2091_9) | left_apart_point(A39_2091_9, reverse_line(L40_2091_9)))
% 293.38/42.80
% 293.38/42.80 [24829] ALPHA_NOT_OR : ~(left_apart_point(A39_2091_9, L40_2091_9) | left_apart_point(A39_2091_9, reverse_line(L40_2091_9)))
% 293.38/42.80 -> [24830] ~left_apart_point(A39_2091_9, L40_2091_9), ~left_apart_point(A39_2091_9, reverse_line(L40_2091_9))
% 293.38/42.80
% 293.38/42.80 [24830] CLOSURE : ~left_apart_point(A39_2091_9, L40_2091_9)
% 293.38/42.80
% 293.38/42.80 [24566] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [24834] ~(left_apart_point(A39_2092_9, L40_2092_9) | left_apart_point(A39_2092_9, reverse_line(L40_2092_9)))
% 293.38/42.80
% 293.38/42.80 [24834] ALPHA_NOT_OR : ~(left_apart_point(A39_2092_9, L40_2092_9) | left_apart_point(A39_2092_9, reverse_line(L40_2092_9)))
% 293.38/42.80 -> [24835] ~left_apart_point(A39_2092_9, L40_2092_9), ~left_apart_point(A39_2092_9, reverse_line(L40_2092_9))
% 293.38/42.80
% 293.38/42.80 [24835] CLOSURE : ~left_apart_point(A39_2092_9, L40_2092_9)
% 293.38/42.80
% 293.38/42.80 [24562] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.80 -> [24590] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.80 -> [24591] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [24591] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [24590] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.80
% 293.38/42.80 [254] 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)))
% 293.38/42.80 -> [278] (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)))
% 293.38/42.80
% 293.38/42.80 [278] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.38/42.80 -> [286] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))
% 293.38/42.80 -> [287] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.38/42.80
% 293.38/42.80 [286] 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)))
% 293.38/42.80 -> [397] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 293.38/42.80 -> [398] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [397] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.38/42.80 -> [1120] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.38/42.80
% 293.38/42.80 [1120] 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))))
% 293.38/42.80 -> [1330] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.38/42.80
% 293.38/42.80 [1330] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.38/42.80 -> [1331] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.80 -> [1332] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.38/42.80
% 293.38/42.80 [1331] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.80
% 293.38/42.80 [1332] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.38/42.80 -> [2109] distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.80 -> [2110] distinct_points(skolem_A8080, skolem_A8080)
% 293.38/42.80
% 293.38/42.80 [2110] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.38/42.80
% 293.38/42.80 [2109] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.38/42.80 -> [2159] ~distinct_lines(N27_13_3, N27_13_3)
% 293.38/42.80
% 293.38/42.80 [2159] 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))))
% 293.38/42.80 -> [2198] (distinct_lines(N27_13_3, N27_13_3) => (distinct_lines(N27_13_3, N27_13_3) | distinct_lines(N27_13_3, N27_13_3)))
% 293.38/42.80
% 293.38/42.80 [2198] 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)))
% 293.38/42.80 -> [2201] ~distinct_lines(N27_13_3, N27_13_3)
% 293.38/42.80 -> [2202] (distinct_lines(N27_13_3, N27_13_3) | distinct_lines(N27_13_3, N27_13_3))
% 293.38/42.80
% 293.38/42.80 [2202] BETA_OR : (distinct_lines(N27_13_3, N27_13_3) | distinct_lines(N27_13_3, N27_13_3))
% 293.38/42.80 -> [2204] distinct_lines(N27_13_3, N27_13_3)
% 293.38/42.80 -> [2205] distinct_lines(N27_13_3, N27_13_3)
% 293.38/42.80
% 293.38/42.80 [2204] CLOSURE : distinct_lines(N27_13_3, N27_13_3)
% 293.38/42.80
% 293.38/42.80 [2205] CLOSURE : distinct_lines(N27_13_3, N27_13_3)
% 293.38/42.80
% 293.38/42.80 [2201] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.38/42.80 -> [2235] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [2235] 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))))
% 293.38/42.80 -> [2246] (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)))
% 293.38/42.80
% 293.38/42.80 [2246] 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)))
% 293.38/42.80 -> [2247] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80 -> [2248] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [2247] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [2248] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.38/42.80 -> [6616] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80 -> [6617] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [6616] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [6617] 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))))))
% 293.38/42.80 -> [13092] ((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)))))
% 293.38/42.80
% 293.38/42.80 [13092] 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)))))
% 293.38/42.80 -> [13096] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.80 -> [13097] ((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))))
% 293.38/42.80
% 293.38/42.80 [13096] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.80 -> [13135] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.80 -> [13136] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [13136] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [13135] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.80
% 293.38/42.80 [13097] 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))))
% 293.38/42.80 -> [19145] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [19146] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.80
% 293.38/42.80 [19145] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [19194] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [19194] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [19146] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [19148] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [19148] 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)))))
% 293.38/42.80 -> [19483] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.38/42.80
% 293.38/42.80 [19483] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.38/42.80 -> [19485] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.38/42.80 -> [19486] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.80
% 293.38/42.80 [19485] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.38/42.80 -> [19501] ~line(skolem_M7878)
% 293.38/42.80 -> [19502] ~line(skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [19502] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.80 -> [19712] ((unequally_directed_lines(skolem_N7979, M38_724_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_724_8))) => (left_convergent_lines(skolem_N7979, M38_724_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_724_8))))
% 293.38/42.80
% 293.38/42.80 [19712] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_724_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_724_8))) => (left_convergent_lines(skolem_N7979, M38_724_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_724_8))))
% 293.38/42.80 -> [19713] ~(unequally_directed_lines(skolem_N7979, M38_724_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_724_8)))
% 293.38/42.80 -> [19714] (left_convergent_lines(skolem_N7979, M38_724_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_724_8)))
% 293.38/42.80
% 293.38/42.80 [19714] BETA_OR : (left_convergent_lines(skolem_N7979, M38_724_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_724_8)))
% 293.38/42.80 -> [19716] left_convergent_lines(skolem_N7979, M38_724_8)
% 293.38/42.80 -> [19717] left_convergent_lines(skolem_N7979, reverse_line(M38_724_8))
% 293.38/42.80
% 293.38/42.80 [19717] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [19867] ~(left_apart_point(A39_1396_9, L40_1396_9) | left_apart_point(A39_1396_9, reverse_line(L40_1396_9)))
% 293.38/42.80
% 293.38/42.80 [19867] ALPHA_NOT_OR : ~(left_apart_point(A39_1396_9, L40_1396_9) | left_apart_point(A39_1396_9, reverse_line(L40_1396_9)))
% 293.38/42.80 -> [19868] ~left_apart_point(A39_1396_9, L40_1396_9), ~left_apart_point(A39_1396_9, reverse_line(L40_1396_9))
% 293.38/42.80
% 293.38/42.80 [19868] CLOSURE : ~left_apart_point(A39_1396_9, L40_1396_9)
% 293.38/42.80
% 293.38/42.80 [19716] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [19894] ~(left_apart_point(A39_1401_9, L40_1401_9) | left_apart_point(A39_1401_9, reverse_line(L40_1401_9)))
% 293.38/42.80
% 293.38/42.80 [19894] ALPHA_NOT_OR : ~(left_apart_point(A39_1401_9, L40_1401_9) | left_apart_point(A39_1401_9, reverse_line(L40_1401_9)))
% 293.38/42.80 -> [19897] ~left_apart_point(A39_1401_9, L40_1401_9), ~left_apart_point(A39_1401_9, reverse_line(L40_1401_9))
% 293.38/42.80
% 293.38/42.80 [19897] CLOSURE : ~left_apart_point(A39_1401_9, L40_1401_9)
% 293.38/42.80
% 293.38/42.80 [19713] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_724_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_724_8)))
% 293.38/42.80 -> [19742] ~unequally_directed_lines(skolem_N7979, M38_724_8)
% 293.38/42.80 -> [19743] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_724_8))
% 293.38/42.80
% 293.38/42.80 [19743] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_724_8))
% 293.38/42.80
% 293.38/42.80 [19742] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_724_8)
% 293.38/42.80
% 293.38/42.80 [19501] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.80 -> [19737] ((unequally_directed_lines(skolem_N7979, M38_726_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_726_8))) => (left_convergent_lines(skolem_N7979, M38_726_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_726_8))))
% 293.38/42.80
% 293.38/42.80 [19737] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_726_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_726_8))) => (left_convergent_lines(skolem_N7979, M38_726_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_726_8))))
% 293.38/42.80 -> [19738] ~(unequally_directed_lines(skolem_N7979, M38_726_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_726_8)))
% 293.38/42.80 -> [19739] (left_convergent_lines(skolem_N7979, M38_726_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_726_8)))
% 293.38/42.80
% 293.38/42.80 [19739] BETA_OR : (left_convergent_lines(skolem_N7979, M38_726_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_726_8)))
% 293.38/42.80 -> [19740] left_convergent_lines(skolem_N7979, M38_726_8)
% 293.38/42.80 -> [19741] left_convergent_lines(skolem_N7979, reverse_line(M38_726_8))
% 293.38/42.80
% 293.38/42.80 [19741] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [19888] ~(left_apart_point(A39_1400_9, L40_1400_9) | left_apart_point(A39_1400_9, reverse_line(L40_1400_9)))
% 293.38/42.80
% 293.38/42.80 [19888] ALPHA_NOT_OR : ~(left_apart_point(A39_1400_9, L40_1400_9) | left_apart_point(A39_1400_9, reverse_line(L40_1400_9)))
% 293.38/42.80 -> [19890] ~left_apart_point(A39_1400_9, L40_1400_9), ~left_apart_point(A39_1400_9, reverse_line(L40_1400_9))
% 293.38/42.80
% 293.38/42.80 [19890] CLOSURE : ~left_apart_point(A39_1400_9, L40_1400_9)
% 293.38/42.80
% 293.38/42.80 [19740] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [19934] ~(left_apart_point(A39_1405_9, L40_1405_9) | left_apart_point(A39_1405_9, reverse_line(L40_1405_9)))
% 293.38/42.80
% 293.38/42.80 [19934] ALPHA_NOT_OR : ~(left_apart_point(A39_1405_9, L40_1405_9) | left_apart_point(A39_1405_9, reverse_line(L40_1405_9)))
% 293.38/42.80 -> [19937] ~left_apart_point(A39_1405_9, L40_1405_9), ~left_apart_point(A39_1405_9, reverse_line(L40_1405_9))
% 293.38/42.80
% 293.38/42.80 [19937] CLOSURE : ~left_apart_point(A39_1405_9, L40_1405_9)
% 293.38/42.80
% 293.38/42.80 [19738] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_726_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_726_8)))
% 293.38/42.80 -> [19775] ~unequally_directed_lines(skolem_N7979, M38_726_8)
% 293.38/42.80 -> [19776] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_726_8))
% 293.38/42.80
% 293.38/42.80 [19776] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_726_8))
% 293.38/42.80
% 293.38/42.80 [19775] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_726_8)
% 293.38/42.80
% 293.38/42.80 [19486] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [19490] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80 -> [19491] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [19490] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [19491] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.80 -> [19787] ((unequally_directed_lines(skolem_N7979, M38_729_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_729_8))) => (left_convergent_lines(skolem_N7979, M38_729_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_729_8))))
% 293.38/42.80
% 293.38/42.80 [19787] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_729_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_729_8))) => (left_convergent_lines(skolem_N7979, M38_729_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_729_8))))
% 293.38/42.80 -> [19790] ~(unequally_directed_lines(skolem_N7979, M38_729_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_729_8)))
% 293.38/42.80 -> [19791] (left_convergent_lines(skolem_N7979, M38_729_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_729_8)))
% 293.38/42.80
% 293.38/42.80 [19791] BETA_OR : (left_convergent_lines(skolem_N7979, M38_729_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_729_8)))
% 293.38/42.80 -> [19794] left_convergent_lines(skolem_N7979, M38_729_8)
% 293.38/42.80 -> [19795] left_convergent_lines(skolem_N7979, reverse_line(M38_729_8))
% 293.38/42.80
% 293.38/42.80 [19795] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [19947] ~(left_apart_point(A39_1408_9, L40_1408_9) | left_apart_point(A39_1408_9, reverse_line(L40_1408_9)))
% 293.38/42.80
% 293.38/42.80 [19947] ALPHA_NOT_OR : ~(left_apart_point(A39_1408_9, L40_1408_9) | left_apart_point(A39_1408_9, reverse_line(L40_1408_9)))
% 293.38/42.80 -> [19948] ~left_apart_point(A39_1408_9, L40_1408_9), ~left_apart_point(A39_1408_9, reverse_line(L40_1408_9))
% 293.38/42.80
% 293.38/42.80 [19948] CLOSURE : ~left_apart_point(A39_1408_9, L40_1408_9)
% 293.38/42.80
% 293.38/42.80 [19794] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [19974] ~(left_apart_point(A39_1415_9, L40_1415_9) | left_apart_point(A39_1415_9, reverse_line(L40_1415_9)))
% 293.38/42.80
% 293.38/42.80 [19974] ALPHA_NOT_OR : ~(left_apart_point(A39_1415_9, L40_1415_9) | left_apart_point(A39_1415_9, reverse_line(L40_1415_9)))
% 293.38/42.80 -> [19976] ~left_apart_point(A39_1415_9, L40_1415_9), ~left_apart_point(A39_1415_9, reverse_line(L40_1415_9))
% 293.38/42.80
% 293.38/42.80 [19976] CLOSURE : ~left_apart_point(A39_1415_9, L40_1415_9)
% 293.38/42.80
% 293.38/42.80 [19790] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_729_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_729_8)))
% 293.38/42.80 -> [19826] ~unequally_directed_lines(skolem_N7979, M38_729_8)
% 293.38/42.80 -> [19827] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_729_8))
% 293.38/42.80
% 293.38/42.80 [19827] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_729_8))
% 293.38/42.80
% 293.38/42.80 [19826] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_729_8)
% 293.38/42.80
% 293.38/42.80 [398] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.38/42.80 -> [1183] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.38/42.80
% 293.38/42.80 [1183] 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))))
% 293.38/42.80 -> [1469] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.38/42.80
% 293.38/42.80 [1469] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.38/42.80 -> [1473] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.80 -> [1474] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.38/42.80
% 293.38/42.80 [1473] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.80
% 293.38/42.80 [1474] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.38/42.80 -> [3246] distinct_points(skolem_B8181, skolem_B8181)
% 293.38/42.80 -> [3247] distinct_points(skolem_A8080, skolem_B8181)
% 293.38/42.80
% 293.38/42.80 [3246] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.38/42.80
% 293.38/42.80 [3247] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.38/42.80 -> [3720] ~distinct_lines(N27_70_3, N27_70_3)
% 293.38/42.80
% 293.38/42.80 [3720] 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))))
% 293.38/42.80 -> [3751] (distinct_lines(N27_70_3, N27_70_3) => (distinct_lines(N27_70_3, N27_70_3) | distinct_lines(N27_70_3, N27_70_3)))
% 293.38/42.80
% 293.38/42.80 [3751] 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)))
% 293.38/42.80 -> [3752] ~distinct_lines(N27_70_3, N27_70_3)
% 293.38/42.80 -> [3753] (distinct_lines(N27_70_3, N27_70_3) | distinct_lines(N27_70_3, N27_70_3))
% 293.38/42.80
% 293.38/42.80 [3753] BETA_OR : (distinct_lines(N27_70_3, N27_70_3) | distinct_lines(N27_70_3, N27_70_3))
% 293.38/42.80 -> [3755] distinct_lines(N27_70_3, N27_70_3)
% 293.38/42.80 -> [3756] distinct_lines(N27_70_3, N27_70_3)
% 293.38/42.80
% 293.38/42.80 [3755] CLOSURE : distinct_lines(N27_70_3, N27_70_3)
% 293.38/42.80
% 293.38/42.80 [3756] CLOSURE : distinct_lines(N27_70_3, N27_70_3)
% 293.38/42.80
% 293.38/42.80 [3752] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.38/42.80 -> [3807] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [3807] 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))))
% 293.38/42.80 -> [3859] (unequally_directed_lines(skolem_L7777, skolem_M7878) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) | unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080))))
% 293.38/42.80
% 293.38/42.80 [3859] BETA_IMPLY : (unequally_directed_lines(skolem_L7777, skolem_M7878) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) | unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080))))
% 293.38/42.80 -> [3860] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.80 -> [3861] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) | unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080)))
% 293.38/42.80
% 293.38/42.80 [3860] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [3861] BETA_OR : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) | unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080)))
% 293.38/42.80 -> [4755] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 293.38/42.80 -> [4756] unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080))
% 293.38/42.80
% 293.38/42.80 [4755] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 293.38/42.80
% 293.38/42.80 [4756] 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))))))
% 293.38/42.80 -> [6942] ((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)))))
% 293.38/42.80
% 293.38/42.80 [6942] 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)))))
% 293.38/42.80 -> [6945] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.80 -> [6946] ((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))))
% 293.38/42.80
% 293.38/42.80 [6945] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.80 -> [6993] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.80 -> [6994] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [6994] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [6993] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.80
% 293.38/42.80 [6946] 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))))
% 293.38/42.80 -> [12868] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [12869] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.80
% 293.38/42.80 [12868] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [12880] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [12880] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [12874] 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)))))
% 293.38/42.80 -> [18690] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.38/42.80
% 293.38/42.80 [18690] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.38/42.80 -> [18692] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.38/42.80 -> [18693] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.80
% 293.38/42.80 [18693] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [18695] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80 -> [18696] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [18695] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [18696] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.80 -> [18952] ((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))))
% 293.38/42.80
% 293.38/42.80 [18952] 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))))
% 293.38/42.80 -> [18962] ~(unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [18963] (left_convergent_lines(skolem_N7979, skolem_M7878) | left_convergent_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.80
% 293.38/42.80 [18963] BETA_OR : (left_convergent_lines(skolem_N7979, skolem_M7878) | left_convergent_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [18968] left_convergent_lines(skolem_N7979, skolem_M7878)
% 293.38/42.80 -> [18969] left_convergent_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [18969] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [19251] ~(left_apart_point(A39_1319_9, L40_1319_9) | left_apart_point(A39_1319_9, reverse_line(L40_1319_9)))
% 293.38/42.80
% 293.38/42.80 [19251] ALPHA_NOT_OR : ~(left_apart_point(A39_1319_9, L40_1319_9) | left_apart_point(A39_1319_9, reverse_line(L40_1319_9)))
% 293.38/42.80 -> [19254] ~left_apart_point(A39_1319_9, L40_1319_9), ~left_apart_point(A39_1319_9, reverse_line(L40_1319_9))
% 293.38/42.80
% 293.38/42.80 [19254] CLOSURE : ~left_apart_point(A39_1319_9, L40_1319_9)
% 293.38/42.80
% 293.38/42.80 [18968] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [20122] ~(left_apart_point(A39_1440_9, L40_1440_9) | left_apart_point(A39_1440_9, reverse_line(L40_1440_9)))
% 293.38/42.80
% 293.38/42.80 [20122] ALPHA_NOT_OR : ~(left_apart_point(A39_1440_9, L40_1440_9) | left_apart_point(A39_1440_9, reverse_line(L40_1440_9)))
% 293.38/42.80 -> [20123] ~left_apart_point(A39_1440_9, L40_1440_9), ~left_apart_point(A39_1440_9, reverse_line(L40_1440_9))
% 293.38/42.80
% 293.38/42.80 [20123] CLOSURE : ~left_apart_point(A39_1440_9, L40_1440_9)
% 293.38/42.80
% 293.38/42.80 [18962] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [20027] ~unequally_directed_lines(skolem_N7979, skolem_M7878)
% 293.38/42.80 -> [20028] ~unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [20028] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [20027] CLOSURE : ~unequally_directed_lines(skolem_N7979, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [18692] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.38/42.80 -> [18721] ~line(skolem_M7878)
% 293.38/42.80 -> [18722] ~line(skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [18722] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.80 -> [18924] ((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))))
% 293.38/42.80
% 293.38/42.80 [18924] 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))))
% 293.38/42.80 -> [18927] ~(unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [18928] (left_convergent_lines(skolem_N7979, skolem_M7878) | left_convergent_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.80
% 293.38/42.80 [18928] BETA_OR : (left_convergent_lines(skolem_N7979, skolem_M7878) | left_convergent_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [18939] left_convergent_lines(skolem_N7979, skolem_M7878)
% 293.38/42.80 -> [18940] left_convergent_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [18939] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [19944] ~(left_apart_point(A39_1407_9, L40_1407_9) | left_apart_point(A39_1407_9, reverse_line(L40_1407_9)))
% 293.38/42.80
% 293.38/42.80 [19944] ALPHA_NOT_OR : ~(left_apart_point(A39_1407_9, L40_1407_9) | left_apart_point(A39_1407_9, reverse_line(L40_1407_9)))
% 293.38/42.80 -> [19946] ~left_apart_point(A39_1407_9, L40_1407_9), ~left_apart_point(A39_1407_9, reverse_line(L40_1407_9))
% 293.38/42.80
% 293.38/42.80 [19946] CLOSURE : ~left_apart_point(A39_1407_9, L40_1407_9)
% 293.38/42.80
% 293.38/42.80 [18940] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [19979] ~(left_apart_point(A39_1417_9, L40_1417_9) | left_apart_point(A39_1417_9, reverse_line(L40_1417_9)))
% 293.38/42.80
% 293.38/42.80 [19979] ALPHA_NOT_OR : ~(left_apart_point(A39_1417_9, L40_1417_9) | left_apart_point(A39_1417_9, reverse_line(L40_1417_9)))
% 293.38/42.80 -> [19981] ~left_apart_point(A39_1417_9, L40_1417_9), ~left_apart_point(A39_1417_9, reverse_line(L40_1417_9))
% 293.38/42.80
% 293.38/42.80 [19981] CLOSURE : ~left_apart_point(A39_1417_9, L40_1417_9)
% 293.38/42.80
% 293.38/42.80 [18927] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [19066] ~unequally_directed_lines(skolem_N7979, skolem_M7878)
% 293.38/42.80 -> [19067] ~unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [19066] CLOSURE : ~unequally_directed_lines(skolem_N7979, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [19067] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [18721] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.80 -> [19040] ((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))))
% 293.38/42.80
% 293.38/42.80 [19040] 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))))
% 293.38/42.80 -> [19048] ~(unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [19049] (left_convergent_lines(skolem_N7979, skolem_M7878) | left_convergent_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.80
% 293.38/42.80 [19049] BETA_OR : (left_convergent_lines(skolem_N7979, skolem_M7878) | left_convergent_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [19056] left_convergent_lines(skolem_N7979, skolem_M7878)
% 293.38/42.80 -> [19057] left_convergent_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [19056] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [19287] ~(left_apart_point(A39_1326_9, L40_1326_9) | left_apart_point(A39_1326_9, reverse_line(L40_1326_9)))
% 293.38/42.80
% 293.38/42.80 [19287] ALPHA_NOT_OR : ~(left_apart_point(A39_1326_9, L40_1326_9) | left_apart_point(A39_1326_9, reverse_line(L40_1326_9)))
% 293.38/42.80 -> [19290] ~left_apart_point(A39_1326_9, L40_1326_9), ~left_apart_point(A39_1326_9, reverse_line(L40_1326_9))
% 293.38/42.80
% 293.38/42.80 [19290] CLOSURE : ~left_apart_point(A39_1326_9, L40_1326_9)
% 293.38/42.80
% 293.38/42.80 [19057] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [19295] ~(left_apart_point(A39_1329_9, L40_1329_9) | left_apart_point(A39_1329_9, reverse_line(L40_1329_9)))
% 293.38/42.80
% 293.38/42.80 [19295] ALPHA_NOT_OR : ~(left_apart_point(A39_1329_9, L40_1329_9) | left_apart_point(A39_1329_9, reverse_line(L40_1329_9)))
% 293.38/42.80 -> [19299] ~left_apart_point(A39_1329_9, L40_1329_9), ~left_apart_point(A39_1329_9, reverse_line(L40_1329_9))
% 293.38/42.80
% 293.38/42.80 [19299] CLOSURE : ~left_apart_point(A39_1329_9, L40_1329_9)
% 293.38/42.80
% 293.38/42.80 [19048] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [19107] ~unequally_directed_lines(skolem_N7979, skolem_M7878)
% 293.38/42.80 -> [19108] ~unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [19107] CLOSURE : ~unequally_directed_lines(skolem_N7979, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [19108] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [287] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.38/42.80 -> [294] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.38/42.80
% 293.38/42.80 [294] 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)))
% 293.38/42.80 -> [302] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 293.38/42.80 -> [303] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [302] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.38/42.80 -> [626] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.38/42.80 -> [627] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [627] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.38/42.80 -> [1367] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.38/42.80
% 293.38/42.80 [1367] 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))))
% 293.38/42.80 -> [1484] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.38/42.80
% 293.38/42.80 [1484] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.38/42.80 -> [1485] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.80 -> [1486] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.38/42.80
% 293.38/42.80 [1485] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.80
% 293.38/42.80 [1486] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.38/42.80 -> [2889] distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.80 -> [2890] distinct_points(skolem_A8080, skolem_A8080)
% 293.38/42.80
% 293.38/42.80 [2890] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.38/42.80
% 293.38/42.80 [2889] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.38/42.80 -> [2935] ~distinct_lines(N27_34_3, N27_34_3)
% 293.38/42.80
% 293.38/42.80 [2935] 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))))
% 293.38/42.80 -> [2940] (distinct_lines(N27_34_3, N27_34_3) => (distinct_lines(N27_34_3, N27_34_3) | distinct_lines(N27_34_3, N27_34_3)))
% 293.38/42.80
% 293.38/42.80 [2940] BETA_IMPLY : (distinct_lines(N27_34_3, N27_34_3) => (distinct_lines(N27_34_3, N27_34_3) | distinct_lines(N27_34_3, N27_34_3)))
% 293.38/42.80 -> [2941] ~distinct_lines(N27_34_3, N27_34_3)
% 293.38/42.80 -> [2942] (distinct_lines(N27_34_3, N27_34_3) | distinct_lines(N27_34_3, N27_34_3))
% 293.38/42.80
% 293.38/42.80 [2942] BETA_OR : (distinct_lines(N27_34_3, N27_34_3) | distinct_lines(N27_34_3, N27_34_3))
% 293.38/42.80 -> [2945] distinct_lines(N27_34_3, N27_34_3)
% 293.38/42.80 -> [2946] distinct_lines(N27_34_3, N27_34_3)
% 293.38/42.80
% 293.38/42.80 [2946] CLOSURE : distinct_lines(N27_34_3, N27_34_3)
% 293.38/42.80
% 293.38/42.80 [2945] CLOSURE : distinct_lines(N27_34_3, N27_34_3)
% 293.38/42.80
% 293.38/42.80 [2941] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.38/42.80 -> [2958] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [2958] 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))))
% 293.38/42.80 -> [2967] (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)))
% 293.38/42.80
% 293.38/42.80 [2967] 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)))
% 293.38/42.80 -> [2969] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80 -> [2970] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [2969] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [2970] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.38/42.80 -> [4874] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80 -> [4875] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [4874] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [4875] 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))))))
% 293.38/42.80 -> [6373] ((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)))))
% 293.38/42.80
% 293.38/42.80 [6373] 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)))))
% 293.38/42.80 -> [6374] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.80 -> [6375] ((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))))
% 293.38/42.80
% 293.38/42.80 [6374] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.80 -> [6417] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.80 -> [6418] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [6418] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [6417] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.80
% 293.38/42.80 [6375] 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))))
% 293.38/42.80 -> [11225] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [11226] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.80
% 293.38/42.80 [11225] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [12298] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [12298] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [11226] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [11229] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [11229] 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)))))
% 293.38/42.80 -> [12434] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.38/42.80
% 293.38/42.80 [12434] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.38/42.80 -> [12439] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.38/42.80 -> [12440] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.80
% 293.38/42.80 [12440] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [12445] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80 -> [12446] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [12445] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [12446] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.80 -> [12612] ((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))))
% 293.38/42.80
% 293.38/42.80 [12612] 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))))
% 293.38/42.80 -> [12617] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.80 -> [12618] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.80
% 293.38/42.80 [12618] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.80 -> [12624] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.38/42.80 -> [12625] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [12624] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [14354] ~(left_apart_point(A39_739_9, L40_739_9) | left_apart_point(A39_739_9, reverse_line(L40_739_9)))
% 293.38/42.80
% 293.38/42.80 [14354] ALPHA_NOT_OR : ~(left_apart_point(A39_739_9, L40_739_9) | left_apart_point(A39_739_9, reverse_line(L40_739_9)))
% 293.38/42.80 -> [14357] ~left_apart_point(A39_739_9, L40_739_9), ~left_apart_point(A39_739_9, reverse_line(L40_739_9))
% 293.38/42.80
% 293.38/42.80 [14357] CLOSURE : ~left_apart_point(A39_739_9, L40_739_9)
% 293.38/42.80
% 293.38/42.80 [12625] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [14356] ~(left_apart_point(A39_740_9, L40_740_9) | left_apart_point(A39_740_9, reverse_line(L40_740_9)))
% 293.38/42.80
% 293.38/42.80 [14356] ALPHA_NOT_OR : ~(left_apart_point(A39_740_9, L40_740_9) | left_apart_point(A39_740_9, reverse_line(L40_740_9)))
% 293.38/42.80 -> [14358] ~left_apart_point(A39_740_9, L40_740_9), ~left_apart_point(A39_740_9, reverse_line(L40_740_9))
% 293.38/42.80
% 293.38/42.80 [14358] CLOSURE : ~left_apart_point(A39_740_9, L40_740_9)
% 293.38/42.80
% 293.38/42.80 [12617] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.80 -> [12719] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.80 -> [12720] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [12719] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.80
% 293.38/42.80 [12720] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [12439] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.38/42.80 -> [12463] ~line(skolem_M7878)
% 293.38/42.80 -> [12464] ~line(skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [12463] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.80 -> [12691] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.38/42.80
% 293.38/42.80 [12691] 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))))
% 293.38/42.80 -> [12695] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [12696] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.80
% 293.38/42.80 [12696] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [12704] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.38/42.80 -> [12705] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [12705] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [12811] ~(left_apart_point(A39_554_9, L40_554_9) | left_apart_point(A39_554_9, reverse_line(L40_554_9)))
% 293.38/42.80
% 293.38/42.80 [12811] ALPHA_NOT_OR : ~(left_apart_point(A39_554_9, L40_554_9) | left_apart_point(A39_554_9, reverse_line(L40_554_9)))
% 293.38/42.80 -> [12813] ~left_apart_point(A39_554_9, L40_554_9), ~left_apart_point(A39_554_9, reverse_line(L40_554_9))
% 293.38/42.80
% 293.38/42.80 [12813] CLOSURE : ~left_apart_point(A39_554_9, L40_554_9)
% 293.38/42.80
% 293.38/42.80 [12704] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [12843] ~(left_apart_point(A39_562_9, L40_562_9) | left_apart_point(A39_562_9, reverse_line(L40_562_9)))
% 293.38/42.80
% 293.38/42.80 [12843] ALPHA_NOT_OR : ~(left_apart_point(A39_562_9, L40_562_9) | left_apart_point(A39_562_9, reverse_line(L40_562_9)))
% 293.38/42.80 -> [12844] ~left_apart_point(A39_562_9, L40_562_9), ~left_apart_point(A39_562_9, reverse_line(L40_562_9))
% 293.38/42.80
% 293.38/42.80 [12844] CLOSURE : ~left_apart_point(A39_562_9, L40_562_9)
% 293.38/42.80
% 293.38/42.80 [12695] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [12738] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.80 -> [12739] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [12738] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [12739] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [12464] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.80 -> [12597] ((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))))
% 293.38/42.80
% 293.38/42.80 [12597] 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))))
% 293.38/42.80 -> [12600] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.80 -> [12601] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.80
% 293.38/42.80 [12601] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.80 -> [12604] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.38/42.80 -> [12605] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [12604] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [14101] ~(left_apart_point(A39_703_9, L40_703_9) | left_apart_point(A39_703_9, reverse_line(L40_703_9)))
% 293.38/42.80
% 293.38/42.80 [14101] ALPHA_NOT_OR : ~(left_apart_point(A39_703_9, L40_703_9) | left_apart_point(A39_703_9, reverse_line(L40_703_9)))
% 293.38/42.80 -> [14103] ~left_apart_point(A39_703_9, L40_703_9), ~left_apart_point(A39_703_9, reverse_line(L40_703_9))
% 293.38/42.80
% 293.38/42.80 [14103] CLOSURE : ~left_apart_point(A39_703_9, L40_703_9)
% 293.38/42.80
% 293.38/42.80 [12605] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [14334] ~(left_apart_point(A39_733_9, L40_733_9) | left_apart_point(A39_733_9, reverse_line(L40_733_9)))
% 293.38/42.80
% 293.38/42.80 [14334] ALPHA_NOT_OR : ~(left_apart_point(A39_733_9, L40_733_9) | left_apart_point(A39_733_9, reverse_line(L40_733_9)))
% 293.38/42.80 -> [14337] ~left_apart_point(A39_733_9, L40_733_9), ~left_apart_point(A39_733_9, reverse_line(L40_733_9))
% 293.38/42.80
% 293.38/42.80 [14337] CLOSURE : ~left_apart_point(A39_733_9, L40_733_9)
% 293.38/42.80
% 293.38/42.80 [12600] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.80 -> [12708] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.80 -> [12709] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [12709] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [12708] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.80
% 293.38/42.80 [626] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.38/42.80 -> [1398] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.38/42.80
% 293.38/42.80 [1398] 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))))
% 293.38/42.80 -> [1487] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.38/42.80
% 293.38/42.80 [1487] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.38/42.80 -> [1488] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.80 -> [1489] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.38/42.80
% 293.38/42.80 [1488] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.80
% 293.38/42.80 [1489] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.38/42.80 -> [2152] distinct_points(skolem_B8181, skolem_B8181)
% 293.38/42.80 -> [2153] distinct_points(skolem_A8080, skolem_B8181)
% 293.38/42.80
% 293.38/42.80 [2152] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.38/42.80
% 293.38/42.80 [2153] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.38/42.80 -> [2293] ~distinct_lines(N27_17_3, N27_17_3)
% 293.38/42.80
% 293.38/42.80 [2293] 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))))
% 293.38/42.80 -> [2308] (distinct_lines(N27_17_3, N27_17_3) => (distinct_lines(N27_17_3, N27_17_3) | distinct_lines(N27_17_3, N27_17_3)))
% 293.38/42.80
% 293.38/42.80 [2308] 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)))
% 293.38/42.80 -> [2310] ~distinct_lines(N27_17_3, N27_17_3)
% 293.38/42.80 -> [2311] (distinct_lines(N27_17_3, N27_17_3) | distinct_lines(N27_17_3, N27_17_3))
% 293.38/42.80
% 293.38/42.80 [2311] BETA_OR : (distinct_lines(N27_17_3, N27_17_3) | distinct_lines(N27_17_3, N27_17_3))
% 293.38/42.80 -> [2319] distinct_lines(N27_17_3, N27_17_3)
% 293.38/42.80 -> [2320] distinct_lines(N27_17_3, N27_17_3)
% 293.38/42.80
% 293.38/42.80 [2320] CLOSURE : distinct_lines(N27_17_3, N27_17_3)
% 293.38/42.80
% 293.38/42.80 [2319] CLOSURE : distinct_lines(N27_17_3, N27_17_3)
% 293.38/42.80
% 293.38/42.80 [2310] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.38/42.80 -> [3855] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [3855] 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))))
% 293.38/42.80 -> [3938] (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)))
% 293.38/42.80
% 293.38/42.80 [3938] 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)))
% 293.38/42.80 -> [3939] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80 -> [3940] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [3939] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [3940] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.38/42.80 -> [7841] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80 -> [7842] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [7841] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [7842] 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))))))
% 293.38/42.80 -> [9689] ((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)))))
% 293.38/42.80
% 293.38/42.80 [9689] 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)))))
% 293.38/42.80 -> [9690] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.80 -> [9691] ((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))))
% 293.38/42.80
% 293.38/42.80 [9690] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.80 -> [9725] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.80 -> [9726] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [9726] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [9725] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.80
% 293.38/42.80 [9691] 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))))
% 293.38/42.80 -> [13241] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [13242] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.80
% 293.38/42.80 [13241] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [13282] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [13282] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [13242] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [13244] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [13244] 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)))))
% 293.38/42.80 -> [13347] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.38/42.80
% 293.38/42.80 [13347] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.38/42.80 -> [13348] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.38/42.80 -> [13349] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.80
% 293.38/42.80 [13349] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [13350] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80 -> [13351] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [13350] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [13351] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.80 -> [13481] ((unequally_directed_lines(skolem_N7979, M38_334_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_334_8))) => (left_convergent_lines(skolem_N7979, M38_334_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_334_8))))
% 293.38/42.80
% 293.38/42.80 [13481] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_334_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_334_8))) => (left_convergent_lines(skolem_N7979, M38_334_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_334_8))))
% 293.38/42.80 -> [13484] ~(unequally_directed_lines(skolem_N7979, M38_334_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_334_8)))
% 293.38/42.80 -> [13485] (left_convergent_lines(skolem_N7979, M38_334_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_334_8)))
% 293.38/42.80
% 293.38/42.80 [13484] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_334_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_334_8)))
% 293.38/42.80 -> [13855] ~unequally_directed_lines(skolem_N7979, M38_334_8)
% 293.38/42.80 -> [13856] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_334_8))
% 293.38/42.80
% 293.38/42.80 [13856] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_334_8))
% 293.38/42.80
% 293.38/42.80 [13855] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_334_8)
% 293.38/42.80
% 293.38/42.80 [13485] BETA_OR : (left_convergent_lines(skolem_N7979, M38_334_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_334_8)))
% 293.38/42.80 -> [13493] left_convergent_lines(skolem_N7979, M38_334_8)
% 293.38/42.80 -> [13494] left_convergent_lines(skolem_N7979, reverse_line(M38_334_8))
% 293.38/42.80
% 293.38/42.80 [13493] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [13958] ~(left_apart_point(A39_687_9, L40_687_9) | left_apart_point(A39_687_9, reverse_line(L40_687_9)))
% 293.38/42.80
% 293.38/42.80 [13958] ALPHA_NOT_OR : ~(left_apart_point(A39_687_9, L40_687_9) | left_apart_point(A39_687_9, reverse_line(L40_687_9)))
% 293.38/42.80 -> [13961] ~left_apart_point(A39_687_9, L40_687_9), ~left_apart_point(A39_687_9, reverse_line(L40_687_9))
% 293.38/42.80
% 293.38/42.80 [13961] CLOSURE : ~left_apart_point(A39_687_9, L40_687_9)
% 293.38/42.80
% 293.38/42.80 [13494] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [14030] ~(left_apart_point(A39_694_9, L40_694_9) | left_apart_point(A39_694_9, reverse_line(L40_694_9)))
% 293.38/42.80
% 293.38/42.80 [14030] ALPHA_NOT_OR : ~(left_apart_point(A39_694_9, L40_694_9) | left_apart_point(A39_694_9, reverse_line(L40_694_9)))
% 293.38/42.80 -> [14033] ~left_apart_point(A39_694_9, L40_694_9), ~left_apart_point(A39_694_9, reverse_line(L40_694_9))
% 293.38/42.80
% 293.38/42.80 [14033] CLOSURE : ~left_apart_point(A39_694_9, L40_694_9)
% 293.38/42.80
% 293.38/42.80 [13348] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.38/42.80 -> [13381] ~line(skolem_M7878)
% 293.38/42.80 -> [13382] ~line(skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [13381] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.80 -> [13527] ((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))))
% 293.38/42.80
% 293.38/42.80 [13527] 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))))
% 293.38/42.80 -> [13530] ~(unequally_directed_lines(skolem_N7979, M38_337_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_337_8)))
% 293.38/42.80 -> [13531] (left_convergent_lines(skolem_N7979, M38_337_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_337_8)))
% 293.38/42.80
% 293.38/42.80 [13530] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_337_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_337_8)))
% 293.38/42.80 -> [13549] ~unequally_directed_lines(skolem_N7979, M38_337_8)
% 293.38/42.80 -> [13550] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_337_8))
% 293.38/42.80
% 293.38/42.80 [13550] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_337_8))
% 293.38/42.80
% 293.38/42.80 [13549] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_337_8)
% 293.38/42.80
% 293.38/42.80 [13531] BETA_OR : (left_convergent_lines(skolem_N7979, M38_337_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_337_8)))
% 293.38/42.80 -> [13536] left_convergent_lines(skolem_N7979, M38_337_8)
% 293.38/42.80 -> [13537] left_convergent_lines(skolem_N7979, reverse_line(M38_337_8))
% 293.38/42.80
% 293.38/42.80 [13536] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [13768] ~(left_apart_point(A39_655_9, L40_655_9) | left_apart_point(A39_655_9, reverse_line(L40_655_9)))
% 293.38/42.80
% 293.38/42.80 [13768] ALPHA_NOT_OR : ~(left_apart_point(A39_655_9, L40_655_9) | left_apart_point(A39_655_9, reverse_line(L40_655_9)))
% 293.38/42.80 -> [13769] ~left_apart_point(A39_655_9, L40_655_9), ~left_apart_point(A39_655_9, reverse_line(L40_655_9))
% 293.38/42.80
% 293.38/42.80 [13769] CLOSURE : ~left_apart_point(A39_655_9, L40_655_9)
% 293.38/42.80
% 293.38/42.80 [13537] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [13864] ~(left_apart_point(A39_674_9, L40_674_9) | left_apart_point(A39_674_9, reverse_line(L40_674_9)))
% 293.38/42.80
% 293.38/42.80 [13864] ALPHA_NOT_OR : ~(left_apart_point(A39_674_9, L40_674_9) | left_apart_point(A39_674_9, reverse_line(L40_674_9)))
% 293.38/42.80 -> [13866] ~left_apart_point(A39_674_9, L40_674_9), ~left_apart_point(A39_674_9, reverse_line(L40_674_9))
% 293.38/42.80
% 293.38/42.80 [13866] CLOSURE : ~left_apart_point(A39_674_9, L40_674_9)
% 293.38/42.80
% 293.38/42.80 [13382] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.80 -> [13466] ((unequally_directed_lines(skolem_N7979, M38_333_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_333_8))) => (left_convergent_lines(skolem_N7979, M38_333_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_333_8))))
% 293.38/42.80
% 293.38/42.80 [13466] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_333_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_333_8))) => (left_convergent_lines(skolem_N7979, M38_333_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_333_8))))
% 293.38/42.80 -> [13467] ~(unequally_directed_lines(skolem_N7979, M38_333_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_333_8)))
% 293.38/42.80 -> [13468] (left_convergent_lines(skolem_N7979, M38_333_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_333_8)))
% 293.38/42.80
% 293.38/42.80 [13467] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_333_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_333_8)))
% 293.38/42.80 -> [13540] ~unequally_directed_lines(skolem_N7979, M38_333_8)
% 293.38/42.80 -> [13541] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_333_8))
% 293.38/42.80
% 293.38/42.80 [13541] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_333_8))
% 293.38/42.80
% 293.38/42.80 [13540] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_333_8)
% 293.38/42.80
% 293.38/42.80 [13468] BETA_OR : (left_convergent_lines(skolem_N7979, M38_333_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_333_8)))
% 293.38/42.80 -> [13475] left_convergent_lines(skolem_N7979, M38_333_8)
% 293.38/42.80 -> [13476] left_convergent_lines(skolem_N7979, reverse_line(M38_333_8))
% 293.38/42.80
% 293.38/42.80 [13475] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [13713] ~(left_apart_point(A39_647_9, L40_647_9) | left_apart_point(A39_647_9, reverse_line(L40_647_9)))
% 293.38/42.80
% 293.38/42.80 [13713] ALPHA_NOT_OR : ~(left_apart_point(A39_647_9, L40_647_9) | left_apart_point(A39_647_9, reverse_line(L40_647_9)))
% 293.38/42.80 -> [13715] ~left_apart_point(A39_647_9, L40_647_9), ~left_apart_point(A39_647_9, reverse_line(L40_647_9))
% 293.38/42.80
% 293.38/42.80 [13715] CLOSURE : ~left_apart_point(A39_647_9, L40_647_9)
% 293.38/42.80
% 293.38/42.80 [13476] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [17115] ~(left_apart_point(A39_1038_9, L40_1038_9) | left_apart_point(A39_1038_9, reverse_line(L40_1038_9)))
% 293.38/42.80
% 293.38/42.80 [17115] ALPHA_NOT_OR : ~(left_apart_point(A39_1038_9, L40_1038_9) | left_apart_point(A39_1038_9, reverse_line(L40_1038_9)))
% 293.38/42.80 -> [17118] ~left_apart_point(A39_1038_9, L40_1038_9), ~left_apart_point(A39_1038_9, reverse_line(L40_1038_9))
% 293.38/42.80
% 293.38/42.80 [17118] CLOSURE : ~left_apart_point(A39_1038_9, L40_1038_9)
% 293.38/42.80
% 293.38/42.80 [303] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.38/42.80 -> [616] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.38/42.80 -> [617] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [617] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.38/42.80 -> [971] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.38/42.80
% 293.38/42.80 [971] 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))))
% 293.38/42.80 -> [1575] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.38/42.80
% 293.38/42.80 [1575] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.38/42.80 -> [1579] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.80 -> [1580] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.38/42.80
% 293.38/42.80 [1579] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.80
% 293.38/42.80 [1580] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.38/42.80 -> [4458] distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.80 -> [4459] distinct_points(skolem_A8080, skolem_A8080)
% 293.38/42.80
% 293.38/42.80 [4459] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.38/42.80
% 293.38/42.80 [4458] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.38/42.80 -> [4995] ~distinct_lines(N27_137_3, N27_137_3)
% 293.38/42.80
% 293.38/42.80 [4995] 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))))
% 293.38/42.80 -> [5094] (distinct_lines(N27_137_3, N27_137_3) => (distinct_lines(N27_137_3, N27_137_3) | distinct_lines(N27_137_3, N27_137_3)))
% 293.38/42.80
% 293.38/42.80 [5094] BETA_IMPLY : (distinct_lines(N27_137_3, N27_137_3) => (distinct_lines(N27_137_3, N27_137_3) | distinct_lines(N27_137_3, N27_137_3)))
% 293.38/42.80 -> [5095] ~distinct_lines(N27_137_3, N27_137_3)
% 293.38/42.80 -> [5096] (distinct_lines(N27_137_3, N27_137_3) | distinct_lines(N27_137_3, N27_137_3))
% 293.38/42.80
% 293.38/42.80 [5096] BETA_OR : (distinct_lines(N27_137_3, N27_137_3) | distinct_lines(N27_137_3, N27_137_3))
% 293.38/42.80 -> [5099] distinct_lines(N27_137_3, N27_137_3)
% 293.38/42.80 -> [5100] distinct_lines(N27_137_3, N27_137_3)
% 293.38/42.80
% 293.38/42.80 [5099] CLOSURE : distinct_lines(N27_137_3, N27_137_3)
% 293.38/42.80
% 293.38/42.80 [5100] CLOSURE : distinct_lines(N27_137_3, N27_137_3)
% 293.38/42.80
% 293.38/42.80 [5095] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.38/42.80 -> [5183] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [5183] 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))))
% 293.38/42.80 -> [5262] (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)))
% 293.38/42.80
% 293.38/42.80 [5262] 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)))
% 293.38/42.80 -> [5265] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80 -> [5266] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [5265] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [5266] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.38/42.80 -> [8183] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80 -> [8184] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [8183] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [8184] 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))))))
% 293.38/42.80 -> [13214] ((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)))))
% 293.38/42.80
% 293.38/42.80 [13214] 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)))))
% 293.38/42.80 -> [13217] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.80 -> [13218] ((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))))
% 293.38/42.80
% 293.38/42.80 [13217] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.80 -> [13239] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.80 -> [13240] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [13240] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [13239] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.80
% 293.38/42.80 [13218] 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))))
% 293.38/42.80 -> [14360] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [14361] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.80
% 293.38/42.80 [14360] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [14369] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [14369] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [14361] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [14829] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [14829] 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)))))
% 293.38/42.80 -> [15095] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.38/42.80
% 293.38/42.80 [15095] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.38/42.80 -> [15097] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.38/42.80 -> [15098] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.80
% 293.38/42.80 [15097] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.38/42.80 -> [15121] ~line(skolem_M7878)
% 293.38/42.80 -> [15122] ~line(skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [15122] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.80 -> [15214] ((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))))
% 293.38/42.80
% 293.38/42.80 [15214] 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))))
% 293.38/42.80 -> [15219] ~(unequally_directed_lines(skolem_N7979, M38_441_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_441_8)))
% 293.38/42.80 -> [15220] (left_convergent_lines(skolem_N7979, M38_441_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_441_8)))
% 293.38/42.80
% 293.38/42.80 [15219] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_441_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_441_8)))
% 293.38/42.80 -> [15261] ~unequally_directed_lines(skolem_N7979, M38_441_8)
% 293.38/42.80 -> [15262] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_441_8))
% 293.38/42.80
% 293.38/42.80 [15262] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_441_8))
% 293.38/42.80
% 293.38/42.80 [15261] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_441_8)
% 293.38/42.80
% 293.38/42.80 [15220] BETA_OR : (left_convergent_lines(skolem_N7979, M38_441_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_441_8)))
% 293.38/42.80 -> [15221] left_convergent_lines(skolem_N7979, M38_441_8)
% 293.38/42.80 -> [15222] left_convergent_lines(skolem_N7979, reverse_line(M38_441_8))
% 293.38/42.80
% 293.38/42.80 [15222] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [15375] ~(left_apart_point(A39_873_9, L40_873_9) | left_apart_point(A39_873_9, reverse_line(L40_873_9)))
% 293.38/42.80
% 293.38/42.80 [15375] ALPHA_NOT_OR : ~(left_apart_point(A39_873_9, L40_873_9) | left_apart_point(A39_873_9, reverse_line(L40_873_9)))
% 293.38/42.80 -> [15380] ~left_apart_point(A39_873_9, L40_873_9), ~left_apart_point(A39_873_9, reverse_line(L40_873_9))
% 293.38/42.80
% 293.38/42.80 [15380] CLOSURE : ~left_apart_point(A39_873_9, L40_873_9)
% 293.38/42.80
% 293.38/42.80 [15221] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [15372] ~(left_apart_point(A39_872_9, L40_872_9) | left_apart_point(A39_872_9, reverse_line(L40_872_9)))
% 293.38/42.80
% 293.38/42.80 [15372] ALPHA_NOT_OR : ~(left_apart_point(A39_872_9, L40_872_9) | left_apart_point(A39_872_9, reverse_line(L40_872_9)))
% 293.38/42.80 -> [15374] ~left_apart_point(A39_872_9, L40_872_9), ~left_apart_point(A39_872_9, reverse_line(L40_872_9))
% 293.38/42.80
% 293.38/42.80 [15374] CLOSURE : ~left_apart_point(A39_872_9, L40_872_9)
% 293.38/42.80
% 293.38/42.80 [15121] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.80 -> [15250] ((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))))
% 293.38/42.80
% 293.38/42.80 [15250] 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))))
% 293.38/42.80 -> [15251] ~(unequally_directed_lines(skolem_N7979, M38_446_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_446_8)))
% 293.38/42.80 -> [15252] (left_convergent_lines(skolem_N7979, M38_446_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_446_8)))
% 293.38/42.80
% 293.38/42.80 [15251] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_446_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_446_8)))
% 293.38/42.80 -> [15296] ~unequally_directed_lines(skolem_N7979, M38_446_8)
% 293.38/42.80 -> [15297] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_446_8))
% 293.38/42.80
% 293.38/42.80 [15297] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_446_8))
% 293.38/42.80
% 293.38/42.80 [15296] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_446_8)
% 293.38/42.80
% 293.38/42.80 [15252] BETA_OR : (left_convergent_lines(skolem_N7979, M38_446_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_446_8)))
% 293.38/42.80 -> [15255] left_convergent_lines(skolem_N7979, M38_446_8)
% 293.38/42.80 -> [15256] left_convergent_lines(skolem_N7979, reverse_line(M38_446_8))
% 293.38/42.80
% 293.38/42.80 [15256] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [15369] ~(left_apart_point(A39_871_9, L40_871_9) | left_apart_point(A39_871_9, reverse_line(L40_871_9)))
% 293.38/42.80
% 293.38/42.80 [15369] ALPHA_NOT_OR : ~(left_apart_point(A39_871_9, L40_871_9) | left_apart_point(A39_871_9, reverse_line(L40_871_9)))
% 293.38/42.80 -> [15371] ~left_apart_point(A39_871_9, L40_871_9), ~left_apart_point(A39_871_9, reverse_line(L40_871_9))
% 293.38/42.80
% 293.38/42.80 [15371] CLOSURE : ~left_apart_point(A39_871_9, L40_871_9)
% 293.38/42.80
% 293.38/42.80 [15255] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [15388] ~(left_apart_point(A39_875_9, L40_875_9) | left_apart_point(A39_875_9, reverse_line(L40_875_9)))
% 293.38/42.80
% 293.38/42.80 [15388] ALPHA_NOT_OR : ~(left_apart_point(A39_875_9, L40_875_9) | left_apart_point(A39_875_9, reverse_line(L40_875_9)))
% 293.38/42.80 -> [15390] ~left_apart_point(A39_875_9, L40_875_9), ~left_apart_point(A39_875_9, reverse_line(L40_875_9))
% 293.38/42.80
% 293.38/42.80 [15390] CLOSURE : ~left_apart_point(A39_875_9, L40_875_9)
% 293.38/42.80
% 293.38/42.80 [15098] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [15099] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80 -> [15100] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [15099] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [15100] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.80 -> [15226] ((unequally_directed_lines(skolem_N7979, M38_442_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_442_8))) => (left_convergent_lines(skolem_N7979, M38_442_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_442_8))))
% 293.38/42.80
% 293.38/42.80 [15226] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_442_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_442_8))) => (left_convergent_lines(skolem_N7979, M38_442_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_442_8))))
% 293.38/42.80 -> [15228] ~(unequally_directed_lines(skolem_N7979, M38_442_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_442_8)))
% 293.38/42.80 -> [15229] (left_convergent_lines(skolem_N7979, M38_442_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_442_8)))
% 293.38/42.80
% 293.38/42.80 [15228] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_442_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_442_8)))
% 293.38/42.80 -> [15270] ~unequally_directed_lines(skolem_N7979, M38_442_8)
% 293.38/42.80 -> [15271] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_442_8))
% 293.38/42.80
% 293.38/42.80 [15270] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_442_8)
% 293.38/42.80
% 293.38/42.80 [15271] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_442_8))
% 293.38/42.80
% 293.38/42.80 [15229] BETA_OR : (left_convergent_lines(skolem_N7979, M38_442_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_442_8)))
% 293.38/42.80 -> [15236] left_convergent_lines(skolem_N7979, M38_442_8)
% 293.38/42.80 -> [15237] left_convergent_lines(skolem_N7979, reverse_line(M38_442_8))
% 293.38/42.80
% 293.38/42.80 [15237] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [15346] ~(left_apart_point(A39_867_9, L40_867_9) | left_apart_point(A39_867_9, reverse_line(L40_867_9)))
% 293.38/42.80
% 293.38/42.80 [15346] ALPHA_NOT_OR : ~(left_apart_point(A39_867_9, L40_867_9) | left_apart_point(A39_867_9, reverse_line(L40_867_9)))
% 293.38/42.80 -> [15347] ~left_apart_point(A39_867_9, L40_867_9), ~left_apart_point(A39_867_9, reverse_line(L40_867_9))
% 293.38/42.80
% 293.38/42.80 [15347] CLOSURE : ~left_apart_point(A39_867_9, L40_867_9)
% 293.38/42.80
% 293.38/42.80 [15236] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [17650] ~(left_apart_point(A39_1130_9, L40_1130_9) | left_apart_point(A39_1130_9, reverse_line(L40_1130_9)))
% 293.38/42.80
% 293.38/42.80 [17650] ALPHA_NOT_OR : ~(left_apart_point(A39_1130_9, L40_1130_9) | left_apart_point(A39_1130_9, reverse_line(L40_1130_9)))
% 293.38/42.80 -> [17653] ~left_apart_point(A39_1130_9, L40_1130_9), ~left_apart_point(A39_1130_9, reverse_line(L40_1130_9))
% 293.38/42.80
% 293.38/42.80 [17653] CLOSURE : ~left_apart_point(A39_1130_9, L40_1130_9)
% 293.38/42.80
% 293.38/42.80 [616] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.38/42.80 -> [761] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.38/42.80
% 293.38/42.80 [761] 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))))
% 293.38/42.80 -> [1225] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.38/42.80
% 293.38/42.80 [1225] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.38/42.80 -> [1226] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.80 -> [1227] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.38/42.80
% 293.38/42.80 [1226] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.80
% 293.38/42.80 [1227] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.38/42.80 -> [5350] distinct_points(skolem_B8181, skolem_B8181)
% 293.38/42.80 -> [5351] distinct_points(skolem_A8080, skolem_B8181)
% 293.38/42.80
% 293.38/42.80 [5350] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.38/42.80
% 293.38/42.80 [5351] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.38/42.80 -> [6539] ~distinct_lines(N27_216_3, N27_216_3)
% 293.38/42.80
% 293.38/42.80 [6539] 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))))
% 293.38/42.80 -> [6797] (distinct_lines(N27_216_3, N27_216_3) => (distinct_lines(N27_216_3, N27_216_3) | distinct_lines(N27_216_3, N27_216_3)))
% 293.38/42.80
% 293.38/42.80 [6797] BETA_IMPLY : (distinct_lines(N27_216_3, N27_216_3) => (distinct_lines(N27_216_3, N27_216_3) | distinct_lines(N27_216_3, N27_216_3)))
% 293.38/42.80 -> [6798] ~distinct_lines(N27_216_3, N27_216_3)
% 293.38/42.80 -> [6799] (distinct_lines(N27_216_3, N27_216_3) | distinct_lines(N27_216_3, N27_216_3))
% 293.38/42.80
% 293.38/42.80 [6799] BETA_OR : (distinct_lines(N27_216_3, N27_216_3) | distinct_lines(N27_216_3, N27_216_3))
% 293.38/42.80 -> [6804] distinct_lines(N27_216_3, N27_216_3)
% 293.38/42.80 -> [6805] distinct_lines(N27_216_3, N27_216_3)
% 293.38/42.80
% 293.38/42.80 [6804] CLOSURE : distinct_lines(N27_216_3, N27_216_3)
% 293.38/42.80
% 293.38/42.80 [6805] CLOSURE : distinct_lines(N27_216_3, N27_216_3)
% 293.38/42.80
% 293.38/42.80 [6798] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.38/42.80 -> [7157] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [7157] 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))))
% 293.38/42.80 -> [7748] (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))))
% 293.38/42.80
% 293.38/42.80 [7748] 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))))
% 293.38/42.80 -> [7749] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80 -> [7750] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.38/42.80
% 293.38/42.80 [7749] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [7750] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.38/42.80 -> [13671] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80 -> [13672] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [13672] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [13671] 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))))))
% 293.38/42.80 -> [16034] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_222_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_222_6))) | (unequally_directed_lines(skolem_N7979, N34_222_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_222_6)))))
% 293.38/42.80
% 293.38/42.80 [16034] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_222_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_222_6))) | (unequally_directed_lines(skolem_N7979, N34_222_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_222_6)))))
% 293.38/42.80 -> [16037] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.80 -> [16038] ((unequally_directed_lines(skolem_M7878, N34_222_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_222_6))) | (unequally_directed_lines(skolem_N7979, N34_222_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_222_6))))
% 293.38/42.80
% 293.38/42.80 [16037] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.80 -> [16180] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.80 -> [16181] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [16181] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [16180] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.80
% 293.38/42.80 [16038] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_222_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_222_6))) | (unequally_directed_lines(skolem_N7979, N34_222_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_222_6))))
% 293.38/42.80 -> [22271] (unequally_directed_lines(skolem_M7878, N34_222_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_222_6)))
% 293.38/42.80 -> [22272] (unequally_directed_lines(skolem_N7979, N34_222_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_222_6)))
% 293.38/42.80
% 293.38/42.80 [22272] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_222_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_222_6)))
% 293.38/42.80 -> [22276] unequally_directed_lines(skolem_N7979, N34_222_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_222_6))
% 293.38/42.80
% 293.38/42.80 [22276] 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)))))
% 293.38/42.80 -> [22325] ((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)))))
% 293.38/42.80
% 293.38/42.80 [22325] 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)))))
% 293.38/42.80 -> [22327] ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.38/42.80 -> [22328] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))
% 293.38/42.80
% 293.38/42.80 [22327] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.38/42.80 -> [22352] ~line(skolem_L7777)
% 293.38/42.80 -> [22353] ~line(line_connecting(skolem_B8181, skolem_A8080))
% 293.38/42.80
% 293.38/42.80 [22353] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.80 -> [23742] ((unequally_directed_lines(skolem_N7979, M38_989_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_989_8))) => (left_convergent_lines(skolem_N7979, M38_989_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_989_8))))
% 293.38/42.80
% 293.38/42.80 [23742] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_989_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_989_8))) => (left_convergent_lines(skolem_N7979, M38_989_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_989_8))))
% 293.38/42.80 -> [23745] ~(unequally_directed_lines(skolem_N7979, M38_989_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_989_8)))
% 293.38/42.80 -> [23746] (left_convergent_lines(skolem_N7979, M38_989_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_989_8)))
% 293.38/42.80
% 293.38/42.80 [23745] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_989_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_989_8)))
% 293.38/42.80 -> [23831] ~unequally_directed_lines(skolem_N7979, M38_989_8)
% 293.38/42.80 -> [23832] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_989_8))
% 293.38/42.80
% 293.38/42.80 [23832] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_989_8))
% 293.38/42.80
% 293.38/42.80 [23831] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_989_8)
% 293.38/42.80
% 293.38/42.80 [23746] BETA_OR : (left_convergent_lines(skolem_N7979, M38_989_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_989_8)))
% 293.38/42.80 -> [23749] left_convergent_lines(skolem_N7979, M38_989_8)
% 293.38/42.80 -> [23750] left_convergent_lines(skolem_N7979, reverse_line(M38_989_8))
% 293.38/42.80
% 293.38/42.80 [23750] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [23959] ~(left_apart_point(A39_1953_9, L40_1953_9) | left_apart_point(A39_1953_9, reverse_line(L40_1953_9)))
% 293.38/42.80
% 293.38/42.80 [23959] ALPHA_NOT_OR : ~(left_apart_point(A39_1953_9, L40_1953_9) | left_apart_point(A39_1953_9, reverse_line(L40_1953_9)))
% 293.38/42.80 -> [23960] ~left_apart_point(A39_1953_9, L40_1953_9), ~left_apart_point(A39_1953_9, reverse_line(L40_1953_9))
% 293.38/42.80
% 293.38/42.80 [23960] CLOSURE : ~left_apart_point(A39_1953_9, L40_1953_9)
% 293.38/42.80
% 293.38/42.80 [23749] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [23992] ~(left_apart_point(A39_1960_9, L40_1960_9) | left_apart_point(A39_1960_9, reverse_line(L40_1960_9)))
% 293.38/42.80
% 293.38/42.80 [23992] ALPHA_NOT_OR : ~(left_apart_point(A39_1960_9, L40_1960_9) | left_apart_point(A39_1960_9, reverse_line(L40_1960_9)))
% 293.38/42.80 -> [23993] ~left_apart_point(A39_1960_9, L40_1960_9), ~left_apart_point(A39_1960_9, reverse_line(L40_1960_9))
% 293.38/42.80
% 293.38/42.80 [23993] CLOSURE : ~left_apart_point(A39_1960_9, L40_1960_9)
% 293.38/42.80
% 293.38/42.80 [22352] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.80 -> [23739] ((unequally_directed_lines(skolem_N7979, M38_988_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_988_8))) => (left_convergent_lines(skolem_N7979, M38_988_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_988_8))))
% 293.38/42.80
% 293.38/42.80 [23739] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_988_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_988_8))) => (left_convergent_lines(skolem_N7979, M38_988_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_988_8))))
% 293.38/42.80 -> [23740] ~(unequally_directed_lines(skolem_N7979, M38_988_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_988_8)))
% 293.38/42.80 -> [23741] (left_convergent_lines(skolem_N7979, M38_988_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_988_8)))
% 293.38/42.80
% 293.38/42.80 [23741] BETA_OR : (left_convergent_lines(skolem_N7979, M38_988_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_988_8)))
% 293.38/42.80 -> [23743] left_convergent_lines(skolem_N7979, M38_988_8)
% 293.38/42.80 -> [23744] left_convergent_lines(skolem_N7979, reverse_line(M38_988_8))
% 293.38/42.80
% 293.38/42.80 [23743] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [23863] ~(left_apart_point(A39_1940_9, L40_1940_9) | left_apart_point(A39_1940_9, reverse_line(L40_1940_9)))
% 293.38/42.80
% 293.38/42.80 [23863] ALPHA_NOT_OR : ~(left_apart_point(A39_1940_9, L40_1940_9) | left_apart_point(A39_1940_9, reverse_line(L40_1940_9)))
% 293.38/42.80 -> [23865] ~left_apart_point(A39_1940_9, L40_1940_9), ~left_apart_point(A39_1940_9, reverse_line(L40_1940_9))
% 293.38/42.80
% 293.38/42.80 [23865] CLOSURE : ~left_apart_point(A39_1940_9, L40_1940_9)
% 293.38/42.80
% 293.38/42.80 [23744] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [24032] ~(left_apart_point(A39_1971_9, L40_1971_9) | left_apart_point(A39_1971_9, reverse_line(L40_1971_9)))
% 293.38/42.80
% 293.38/42.80 [24032] ALPHA_NOT_OR : ~(left_apart_point(A39_1971_9, L40_1971_9) | left_apart_point(A39_1971_9, reverse_line(L40_1971_9)))
% 293.38/42.80 -> [24035] ~left_apart_point(A39_1971_9, L40_1971_9), ~left_apart_point(A39_1971_9, reverse_line(L40_1971_9))
% 293.38/42.80
% 293.38/42.80 [24035] CLOSURE : ~left_apart_point(A39_1971_9, L40_1971_9)
% 293.38/42.80
% 293.38/42.80 [23740] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_988_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_988_8)))
% 293.38/42.80 -> [23806] ~unequally_directed_lines(skolem_N7979, M38_988_8)
% 293.38/42.80 -> [23807] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_988_8))
% 293.38/42.80
% 293.38/42.80 [23807] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_988_8))
% 293.38/42.80
% 293.38/42.80 [23806] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_988_8)
% 293.38/42.80
% 293.38/42.80 [22328] 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))))
% 293.38/42.80 -> [22329] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 293.38/42.80 -> [22330] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.38/42.80
% 293.38/42.80 [22329] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 293.38/42.80
% 293.38/42.80 [22330] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.80 -> [25562] ((unequally_directed_lines(skolem_N7979, M38_1115_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1115_8))) => (left_convergent_lines(skolem_N7979, M38_1115_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1115_8))))
% 293.38/42.80
% 293.38/42.80 [25562] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1115_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1115_8))) => (left_convergent_lines(skolem_N7979, M38_1115_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1115_8))))
% 293.38/42.80 -> [25565] ~(unequally_directed_lines(skolem_N7979, M38_1115_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1115_8)))
% 293.38/42.80 -> [25566] (left_convergent_lines(skolem_N7979, M38_1115_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1115_8)))
% 293.38/42.80
% 293.38/42.80 [25565] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1115_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1115_8)))
% 293.38/42.80 -> [25577] ~unequally_directed_lines(skolem_N7979, M38_1115_8)
% 293.38/42.80 -> [25578] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1115_8))
% 293.38/42.80
% 293.38/42.80 [25578] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1115_8))
% 293.38/42.80
% 293.38/42.80 [25577] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1115_8)
% 293.38/42.80
% 293.38/42.80 [25566] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1115_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1115_8)))
% 293.38/42.80 -> [25567] left_convergent_lines(skolem_N7979, M38_1115_8)
% 293.38/42.80 -> [25568] left_convergent_lines(skolem_N7979, reverse_line(M38_1115_8))
% 293.38/42.80
% 293.38/42.80 [25568] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [25586] ~(left_apart_point(A39_2195_9, L40_2195_9) | left_apart_point(A39_2195_9, reverse_line(L40_2195_9)))
% 293.38/42.80
% 293.38/42.80 [25586] ALPHA_NOT_OR : ~(left_apart_point(A39_2195_9, L40_2195_9) | left_apart_point(A39_2195_9, reverse_line(L40_2195_9)))
% 293.38/42.80 -> [25588] ~left_apart_point(A39_2195_9, L40_2195_9), ~left_apart_point(A39_2195_9, reverse_line(L40_2195_9))
% 293.38/42.80
% 293.38/42.80 [25588] CLOSURE : ~left_apart_point(A39_2195_9, L40_2195_9)
% 293.38/42.80
% 293.38/42.80 [25567] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [25591] ~(left_apart_point(A39_2196_9, L40_2196_9) | left_apart_point(A39_2196_9, reverse_line(L40_2196_9)))
% 293.38/42.80
% 293.38/42.80 [25591] ALPHA_NOT_OR : ~(left_apart_point(A39_2196_9, L40_2196_9) | left_apart_point(A39_2196_9, reverse_line(L40_2196_9)))
% 293.38/42.80 -> [25592] ~left_apart_point(A39_2196_9, L40_2196_9), ~left_apart_point(A39_2196_9, reverse_line(L40_2196_9))
% 293.38/42.80
% 293.38/42.80 [25592] CLOSURE : ~left_apart_point(A39_2196_9, L40_2196_9)
% 293.38/42.80
% 293.38/42.80 [22271] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_222_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_222_6)))
% 293.38/42.80 -> [22279] unequally_directed_lines(skolem_M7878, N34_222_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_222_6))
% 293.38/42.80
% 293.38/42.80 [22279] 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)))))
% 293.38/42.80 -> [22317] ((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))))
% 293.38/42.80
% 293.38/42.80 [22317] 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))))
% 293.38/42.80 -> [22318] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.38/42.80 -> [22319] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.38/42.80
% 293.38/42.80 [22318] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.38/42.80 -> [22341] ~line(reverse_line(skolem_N7979))
% 293.38/42.80 -> [22342] ~line(skolem_N7979)
% 293.38/42.80
% 293.38/42.80 [22341] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.80 -> [23541] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.38/42.80
% 293.38/42.80 [23541] 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))))
% 293.38/42.80 -> [23545] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [23546] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.80
% 293.38/42.80 [23545] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [23580] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.80 -> [23581] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [23581] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [23580] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [23546] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [23551] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.38/42.80 -> [23552] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [23552] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [23764] ~(left_apart_point(A39_1917_9, L40_1917_9) | left_apart_point(A39_1917_9, reverse_line(L40_1917_9)))
% 293.38/42.80
% 293.38/42.80 [23764] ALPHA_NOT_OR : ~(left_apart_point(A39_1917_9, L40_1917_9) | left_apart_point(A39_1917_9, reverse_line(L40_1917_9)))
% 293.38/42.80 -> [23765] ~left_apart_point(A39_1917_9, L40_1917_9), ~left_apart_point(A39_1917_9, reverse_line(L40_1917_9))
% 293.38/42.80
% 293.38/42.80 [23765] CLOSURE : ~left_apart_point(A39_1917_9, L40_1917_9)
% 293.38/42.80
% 293.38/42.80 [23551] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [23852] ~(left_apart_point(A39_1935_9, L40_1935_9) | left_apart_point(A39_1935_9, reverse_line(L40_1935_9)))
% 293.38/42.80
% 293.38/42.80 [23852] ALPHA_NOT_OR : ~(left_apart_point(A39_1935_9, L40_1935_9) | left_apart_point(A39_1935_9, reverse_line(L40_1935_9)))
% 293.38/42.80 -> [23853] ~left_apart_point(A39_1935_9, L40_1935_9), ~left_apart_point(A39_1935_9, reverse_line(L40_1935_9))
% 293.38/42.80
% 293.38/42.80 [23853] CLOSURE : ~left_apart_point(A39_1935_9, L40_1935_9)
% 293.38/42.80
% 293.38/42.80 [22342] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.80 -> [23561] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.38/42.80
% 293.38/42.80 [23561] 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))))
% 293.38/42.80 -> [23566] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [23567] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.80
% 293.38/42.80 [23566] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [23622] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.80 -> [23623] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [23623] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [23622] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [23567] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [23570] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.38/42.80 -> [23571] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [23571] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [23844] ~(left_apart_point(A39_1933_9, L40_1933_9) | left_apart_point(A39_1933_9, reverse_line(L40_1933_9)))
% 293.38/42.80
% 293.38/42.80 [23844] ALPHA_NOT_OR : ~(left_apart_point(A39_1933_9, L40_1933_9) | left_apart_point(A39_1933_9, reverse_line(L40_1933_9)))
% 293.38/42.80 -> [23847] ~left_apart_point(A39_1933_9, L40_1933_9), ~left_apart_point(A39_1933_9, reverse_line(L40_1933_9))
% 293.38/42.80
% 293.38/42.80 [23847] CLOSURE : ~left_apart_point(A39_1933_9, L40_1933_9)
% 293.38/42.80
% 293.38/42.80 [23570] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [23872] ~(left_apart_point(A39_1944_9, L40_1944_9) | left_apart_point(A39_1944_9, reverse_line(L40_1944_9)))
% 293.38/42.80
% 293.38/42.80 [23872] ALPHA_NOT_OR : ~(left_apart_point(A39_1944_9, L40_1944_9) | left_apart_point(A39_1944_9, reverse_line(L40_1944_9)))
% 293.38/42.80 -> [23875] ~left_apart_point(A39_1944_9, L40_1944_9), ~left_apart_point(A39_1944_9, reverse_line(L40_1944_9))
% 293.38/42.80
% 293.38/42.80 [23875] CLOSURE : ~left_apart_point(A39_1944_9, L40_1944_9)
% 293.38/42.80
% 293.38/42.80 [22319] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.38/42.80 -> [22321] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 293.38/42.80 -> [22322] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [22322] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [22321] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.80 -> [25742] ((unequally_directed_lines(skolem_M7878, M38_1124_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1124_8))) => (left_convergent_lines(skolem_M7878, M38_1124_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1124_8))))
% 293.38/42.80
% 293.38/42.80 [25742] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_1124_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1124_8))) => (left_convergent_lines(skolem_M7878, M38_1124_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1124_8))))
% 293.38/42.80 -> [25743] ~(unequally_directed_lines(skolem_M7878, M38_1124_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1124_8)))
% 293.38/42.80 -> [25744] (left_convergent_lines(skolem_M7878, M38_1124_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1124_8)))
% 293.38/42.80
% 293.38/42.80 [25743] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_1124_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1124_8)))
% 293.38/42.80 -> [25745] ~unequally_directed_lines(skolem_M7878, M38_1124_8)
% 293.38/42.80 -> [25746] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_1124_8))
% 293.38/42.80
% 293.38/42.80 [25746] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_1124_8))
% 293.38/42.80
% 293.38/42.80 [25745] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_1124_8)
% 293.38/42.80
% 293.38/42.80 [25744] BETA_OR : (left_convergent_lines(skolem_M7878, M38_1124_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1124_8)))
% 293.38/42.80 -> [25754] left_convergent_lines(skolem_M7878, M38_1124_8)
% 293.38/42.80 -> [25755] left_convergent_lines(skolem_M7878, reverse_line(M38_1124_8))
% 293.38/42.80
% 293.38/42.80 [25755] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [25844] ~(left_apart_point(A39_2239_9, L40_2239_9) | left_apart_point(A39_2239_9, reverse_line(L40_2239_9)))
% 293.38/42.80
% 293.38/42.80 [25844] ALPHA_NOT_OR : ~(left_apart_point(A39_2239_9, L40_2239_9) | left_apart_point(A39_2239_9, reverse_line(L40_2239_9)))
% 293.38/42.80 -> [25849] ~left_apart_point(A39_2239_9, L40_2239_9), ~left_apart_point(A39_2239_9, reverse_line(L40_2239_9))
% 293.38/42.80
% 293.38/42.80 [25849] CLOSURE : ~left_apart_point(A39_2239_9, L40_2239_9)
% 293.38/42.80
% 293.38/42.80 [25754] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [25856] ~(left_apart_point(A39_2241_9, L40_2241_9) | left_apart_point(A39_2241_9, reverse_line(L40_2241_9)))
% 293.38/42.80
% 293.38/42.80 [25856] ALPHA_NOT_OR : ~(left_apart_point(A39_2241_9, L40_2241_9) | left_apart_point(A39_2241_9, reverse_line(L40_2241_9)))
% 293.38/42.80 -> [25859] ~left_apart_point(A39_2241_9, L40_2241_9), ~left_apart_point(A39_2241_9, reverse_line(L40_2241_9))
% 293.38/42.80
% 293.38/42.80 [25859] CLOSURE : ~left_apart_point(A39_2241_9, L40_2241_9)
% 293.38/42.80
% 293.38/42.80 [186] 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)))
% 293.38/42.80 -> [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)))
% 293.38/42.80
% 293.38/42.80 [195] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.38/42.80 -> [214] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.38/42.80 -> [215] ~~(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)))
% 293.38/42.80
% 293.38/42.80 [214] 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)))
% 293.38/42.80 -> [284] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 293.38/42.80 -> [285] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [284] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.38/42.80 -> [1031] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 293.38/42.80 -> [1032] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.38/42.80
% 293.38/42.80 [1032] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.38/42.80 -> [1033] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.38/42.80
% 293.38/42.80 [1033] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.38/42.80 -> [1035] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.38/42.80 -> [1036] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [1035] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.38/42.80 -> [2856] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.38/42.80
% 293.38/42.80 [2856] 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))))
% 293.38/42.80 -> [2861] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.38/42.80
% 293.38/42.80 [2861] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.38/42.80 -> [2862] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.80 -> [2863] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.38/42.80
% 293.38/42.80 [2862] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.80
% 293.38/42.80 [2863] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.38/42.80 -> [3326] distinct_points(skolem_B8181, skolem_B8181)
% 293.38/42.80 -> [3327] distinct_points(skolem_A8080, skolem_B8181)
% 293.38/42.80
% 293.38/42.80 [3326] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.38/42.80
% 293.38/42.80 [3327] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.38/42.80 -> [5644] ~distinct_lines(N27_168_3, N27_168_3)
% 293.38/42.80
% 293.38/42.80 [5644] 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))))
% 293.38/42.80 -> [5762] (distinct_lines(N27_168_3, N27_168_3) => (distinct_lines(N27_168_3, N27_168_3) | distinct_lines(N27_168_3, N27_168_3)))
% 293.38/42.80
% 293.38/42.80 [5762] BETA_IMPLY : (distinct_lines(N27_168_3, N27_168_3) => (distinct_lines(N27_168_3, N27_168_3) | distinct_lines(N27_168_3, N27_168_3)))
% 293.38/42.80 -> [5763] ~distinct_lines(N27_168_3, N27_168_3)
% 293.38/42.80 -> [5764] (distinct_lines(N27_168_3, N27_168_3) | distinct_lines(N27_168_3, N27_168_3))
% 293.38/42.80
% 293.38/42.80 [5764] BETA_OR : (distinct_lines(N27_168_3, N27_168_3) | distinct_lines(N27_168_3, N27_168_3))
% 293.38/42.80 -> [5765] distinct_lines(N27_168_3, N27_168_3)
% 293.38/42.80 -> [5766] distinct_lines(N27_168_3, N27_168_3)
% 293.38/42.80
% 293.38/42.80 [5765] CLOSURE : distinct_lines(N27_168_3, N27_168_3)
% 293.38/42.80
% 293.38/42.80 [5766] CLOSURE : distinct_lines(N27_168_3, N27_168_3)
% 293.38/42.80
% 293.38/42.80 [5763] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.38/42.80 -> [6019] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [6019] 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))))
% 293.38/42.80 -> [6140] (unequally_directed_lines(skolem_L7777, skolem_M7878) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) | unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080))))
% 293.38/42.80
% 293.38/42.80 [6140] BETA_IMPLY : (unequally_directed_lines(skolem_L7777, skolem_M7878) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) | unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080))))
% 293.38/42.80 -> [6142] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.80 -> [6143] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) | unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080)))
% 293.38/42.80
% 293.38/42.80 [6142] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [6143] BETA_OR : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) | unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080)))
% 293.38/42.80 -> [9457] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 293.38/42.80 -> [9458] unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080))
% 293.38/42.80
% 293.38/42.80 [9457] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 293.38/42.80
% 293.38/42.80 [9458] 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))))))
% 293.38/42.80 -> [9633] ((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)))))
% 293.38/42.80
% 293.38/42.80 [9633] 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)))))
% 293.38/42.80 -> [9636] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.80 -> [9637] ((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))))
% 293.38/42.80
% 293.38/42.80 [9636] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.80 -> [9658] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.80 -> [9659] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [9659] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [9658] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.80
% 293.38/42.80 [9637] 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))))
% 293.38/42.80 -> [10425] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [10426] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.80
% 293.38/42.80 [10425] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [10445] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [10445] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [10427] 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)))))
% 293.38/42.80 -> [15104] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.38/42.80
% 293.38/42.80 [15104] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.38/42.80 -> [15377] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.38/42.80 -> [15378] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.80
% 293.38/42.80 [15378] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [17037] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80 -> [17038] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [17037] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [17038] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.80 -> [17172] ((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))))
% 293.38/42.80
% 293.38/42.80 [17172] 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))))
% 293.38/42.80 -> [17175] ~(unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [17176] (left_convergent_lines(skolem_N7979, skolem_M7878) | left_convergent_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.80
% 293.38/42.80 [17175] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [17198] ~unequally_directed_lines(skolem_N7979, skolem_M7878)
% 293.38/42.80 -> [17199] ~unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [17199] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [17198] CLOSURE : ~unequally_directed_lines(skolem_N7979, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [17176] BETA_OR : (left_convergent_lines(skolem_N7979, skolem_M7878) | left_convergent_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [17179] left_convergent_lines(skolem_N7979, skolem_M7878)
% 293.38/42.80 -> [17180] left_convergent_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [17180] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [17243] ~(left_apart_point(A39_1058_9, L40_1058_9) | left_apart_point(A39_1058_9, reverse_line(L40_1058_9)))
% 293.38/42.80
% 293.38/42.80 [17243] ALPHA_NOT_OR : ~(left_apart_point(A39_1058_9, L40_1058_9) | left_apart_point(A39_1058_9, reverse_line(L40_1058_9)))
% 293.38/42.80 -> [17244] ~left_apart_point(A39_1058_9, L40_1058_9), ~left_apart_point(A39_1058_9, reverse_line(L40_1058_9))
% 293.38/42.80
% 293.38/42.80 [17244] CLOSURE : ~left_apart_point(A39_1058_9, L40_1058_9)
% 293.38/42.80
% 293.38/42.80 [17179] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [17271] ~(left_apart_point(A39_1067_9, L40_1067_9) | left_apart_point(A39_1067_9, reverse_line(L40_1067_9)))
% 293.38/42.80
% 293.38/42.80 [17271] ALPHA_NOT_OR : ~(left_apart_point(A39_1067_9, L40_1067_9) | left_apart_point(A39_1067_9, reverse_line(L40_1067_9)))
% 293.38/42.80 -> [17275] ~left_apart_point(A39_1067_9, L40_1067_9), ~left_apart_point(A39_1067_9, reverse_line(L40_1067_9))
% 293.38/42.80
% 293.38/42.80 [17275] CLOSURE : ~left_apart_point(A39_1067_9, L40_1067_9)
% 293.38/42.80
% 293.38/42.80 [15377] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.38/42.80 -> [17188] ~line(skolem_M7878)
% 293.38/42.80 -> [17189] ~line(skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [17189] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.80 -> [17359] ((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))))
% 293.38/42.80
% 293.38/42.80 [17359] 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))))
% 293.38/42.80 -> [17360] ~(unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [17361] (left_convergent_lines(skolem_N7979, skolem_M7878) | left_convergent_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.80
% 293.38/42.80 [17360] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [17413] ~unequally_directed_lines(skolem_N7979, skolem_M7878)
% 293.38/42.80 -> [17414] ~unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [17414] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [17413] CLOSURE : ~unequally_directed_lines(skolem_N7979, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [17361] BETA_OR : (left_convergent_lines(skolem_N7979, skolem_M7878) | left_convergent_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [17365] left_convergent_lines(skolem_N7979, skolem_M7878)
% 293.38/42.80 -> [17366] left_convergent_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [17366] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [17583] ~(left_apart_point(A39_1119_9, L40_1119_9) | left_apart_point(A39_1119_9, reverse_line(L40_1119_9)))
% 293.38/42.80
% 293.38/42.80 [17583] ALPHA_NOT_OR : ~(left_apart_point(A39_1119_9, L40_1119_9) | left_apart_point(A39_1119_9, reverse_line(L40_1119_9)))
% 293.38/42.80 -> [17584] ~left_apart_point(A39_1119_9, L40_1119_9), ~left_apart_point(A39_1119_9, reverse_line(L40_1119_9))
% 293.38/42.80
% 293.38/42.80 [17584] CLOSURE : ~left_apart_point(A39_1119_9, L40_1119_9)
% 293.38/42.80
% 293.38/42.80 [17365] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [17612] ~(left_apart_point(A39_1124_9, L40_1124_9) | left_apart_point(A39_1124_9, reverse_line(L40_1124_9)))
% 293.38/42.80
% 293.38/42.80 [17612] ALPHA_NOT_OR : ~(left_apart_point(A39_1124_9, L40_1124_9) | left_apart_point(A39_1124_9, reverse_line(L40_1124_9)))
% 293.38/42.80 -> [17614] ~left_apart_point(A39_1124_9, L40_1124_9), ~left_apart_point(A39_1124_9, reverse_line(L40_1124_9))
% 293.38/42.80
% 293.38/42.80 [17614] CLOSURE : ~left_apart_point(A39_1124_9, L40_1124_9)
% 293.38/42.80
% 293.38/42.80 [17188] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.80 -> [17395] ((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))))
% 293.38/42.80
% 293.38/42.80 [17395] 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))))
% 293.38/42.80 -> [17396] ~(unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [17397] (left_convergent_lines(skolem_N7979, skolem_M7878) | left_convergent_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.80
% 293.38/42.80 [17396] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [17453] ~unequally_directed_lines(skolem_N7979, skolem_M7878)
% 293.38/42.80 -> [17454] ~unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [17454] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [17453] CLOSURE : ~unequally_directed_lines(skolem_N7979, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [17397] BETA_OR : (left_convergent_lines(skolem_N7979, skolem_M7878) | left_convergent_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [17401] left_convergent_lines(skolem_N7979, skolem_M7878)
% 293.38/42.80 -> [17402] left_convergent_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [17401] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [17635] ~(left_apart_point(A39_1127_9, L40_1127_9) | left_apart_point(A39_1127_9, reverse_line(L40_1127_9)))
% 293.38/42.80
% 293.38/42.80 [17635] ALPHA_NOT_OR : ~(left_apart_point(A39_1127_9, L40_1127_9) | left_apart_point(A39_1127_9, reverse_line(L40_1127_9)))
% 293.38/42.80 -> [17636] ~left_apart_point(A39_1127_9, L40_1127_9), ~left_apart_point(A39_1127_9, reverse_line(L40_1127_9))
% 293.38/42.80
% 293.38/42.80 [17636] CLOSURE : ~left_apart_point(A39_1127_9, L40_1127_9)
% 293.38/42.80
% 293.38/42.80 [17402] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [18061] ~(left_apart_point(A39_1167_9, L40_1167_9) | left_apart_point(A39_1167_9, reverse_line(L40_1167_9)))
% 293.38/42.80
% 293.38/42.80 [18061] ALPHA_NOT_OR : ~(left_apart_point(A39_1167_9, L40_1167_9) | left_apart_point(A39_1167_9, reverse_line(L40_1167_9)))
% 293.38/42.80 -> [18062] ~left_apart_point(A39_1167_9, L40_1167_9), ~left_apart_point(A39_1167_9, reverse_line(L40_1167_9))
% 293.38/42.80
% 293.38/42.80 [18062] CLOSURE : ~left_apart_point(A39_1167_9, L40_1167_9)
% 293.38/42.80
% 293.38/42.80 [1036] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.38/42.80 -> [1549] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.38/42.80
% 293.38/42.80 [1549] 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))))
% 293.38/42.80 -> [1621] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.38/42.80
% 293.38/42.80 [1621] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.38/42.80 -> [1622] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.80 -> [1623] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.38/42.80
% 293.38/42.80 [1622] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.80
% 293.38/42.80 [1623] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.38/42.80 -> [4341] distinct_points(skolem_B8181, skolem_B8181)
% 293.38/42.80 -> [4342] distinct_points(skolem_A8080, skolem_B8181)
% 293.38/42.80
% 293.38/42.80 [4341] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.38/42.80
% 293.38/42.80 [4342] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.38/42.80 -> [5869] ~distinct_lines(N27_185_3, N27_185_3)
% 293.38/42.80
% 293.38/42.80 [5869] 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))))
% 293.38/42.80 -> [6065] (distinct_lines(N27_185_3, N27_185_3) => (distinct_lines(N27_185_3, N27_185_3) | distinct_lines(N27_185_3, N27_185_3)))
% 293.38/42.80
% 293.38/42.80 [6065] BETA_IMPLY : (distinct_lines(N27_185_3, N27_185_3) => (distinct_lines(N27_185_3, N27_185_3) | distinct_lines(N27_185_3, N27_185_3)))
% 293.38/42.80 -> [6066] ~distinct_lines(N27_185_3, N27_185_3)
% 293.38/42.80 -> [6067] (distinct_lines(N27_185_3, N27_185_3) | distinct_lines(N27_185_3, N27_185_3))
% 293.38/42.80
% 293.38/42.80 [6067] BETA_OR : (distinct_lines(N27_185_3, N27_185_3) | distinct_lines(N27_185_3, N27_185_3))
% 293.38/42.80 -> [6068] distinct_lines(N27_185_3, N27_185_3)
% 293.38/42.80 -> [6069] distinct_lines(N27_185_3, N27_185_3)
% 293.38/42.80
% 293.38/42.80 [6069] CLOSURE : distinct_lines(N27_185_3, N27_185_3)
% 293.38/42.80
% 293.38/42.80 [6068] CLOSURE : distinct_lines(N27_185_3, N27_185_3)
% 293.38/42.80
% 293.38/42.80 [6066] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.38/42.80 -> [6166] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [6166] 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))))
% 293.38/42.80 -> [6292] (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)))
% 293.38/42.80
% 293.38/42.80 [6292] 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)))
% 293.38/42.80 -> [6293] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80 -> [6294] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [6293] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [6294] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.38/42.80 -> [7960] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80 -> [7961] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [7960] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [7961] 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))))))
% 293.38/42.80 -> [11284] ((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)))))
% 293.38/42.80
% 293.38/42.80 [11284] 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)))))
% 293.38/42.80 -> [11286] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.80 -> [11287] ((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))))
% 293.38/42.80
% 293.38/42.80 [11286] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.80 -> [11317] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.80 -> [11318] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [11318] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [11317] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.80
% 293.38/42.80 [11287] 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))))
% 293.38/42.80 -> [18054] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [18055] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.80
% 293.38/42.80 [18054] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [18065] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [18065] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [18055] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [18056] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [18056] 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)))))
% 293.38/42.80 -> [18113] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.38/42.80
% 293.38/42.80 [18113] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.38/42.80 -> [18114] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.38/42.80 -> [18115] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.80
% 293.38/42.80 [18115] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [18118] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80 -> [18119] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [18118] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [18119] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.80 -> [18531] ((unequally_directed_lines(skolem_N7979, M38_645_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_645_8))) => (left_convergent_lines(skolem_N7979, M38_645_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_645_8))))
% 293.38/42.80
% 293.38/42.80 [18531] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_645_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_645_8))) => (left_convergent_lines(skolem_N7979, M38_645_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_645_8))))
% 293.38/42.80 -> [18534] ~(unequally_directed_lines(skolem_N7979, M38_645_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_645_8)))
% 293.38/42.80 -> [18535] (left_convergent_lines(skolem_N7979, M38_645_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_645_8)))
% 293.38/42.80
% 293.38/42.80 [18535] BETA_OR : (left_convergent_lines(skolem_N7979, M38_645_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_645_8)))
% 293.38/42.80 -> [18541] left_convergent_lines(skolem_N7979, M38_645_8)
% 293.38/42.80 -> [18542] left_convergent_lines(skolem_N7979, reverse_line(M38_645_8))
% 293.38/42.80
% 293.38/42.80 [18541] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [18676] ~(left_apart_point(A39_1250_9, L40_1250_9) | left_apart_point(A39_1250_9, reverse_line(L40_1250_9)))
% 293.38/42.80
% 293.38/42.80 [18676] ALPHA_NOT_OR : ~(left_apart_point(A39_1250_9, L40_1250_9) | left_apart_point(A39_1250_9, reverse_line(L40_1250_9)))
% 293.38/42.80 -> [18682] ~left_apart_point(A39_1250_9, L40_1250_9), ~left_apart_point(A39_1250_9, reverse_line(L40_1250_9))
% 293.38/42.80
% 293.38/42.80 [18682] CLOSURE : ~left_apart_point(A39_1250_9, L40_1250_9)
% 293.38/42.80
% 293.38/42.80 [18542] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [18656] ~(left_apart_point(A39_1246_9, L40_1246_9) | left_apart_point(A39_1246_9, reverse_line(L40_1246_9)))
% 293.38/42.80
% 293.38/42.80 [18656] ALPHA_NOT_OR : ~(left_apart_point(A39_1246_9, L40_1246_9) | left_apart_point(A39_1246_9, reverse_line(L40_1246_9)))
% 293.38/42.80 -> [18661] ~left_apart_point(A39_1246_9, L40_1246_9), ~left_apart_point(A39_1246_9, reverse_line(L40_1246_9))
% 293.38/42.80
% 293.38/42.80 [18661] CLOSURE : ~left_apart_point(A39_1246_9, L40_1246_9)
% 293.38/42.80
% 293.38/42.80 [18534] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_645_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_645_8)))
% 293.38/42.80 -> [18570] ~unequally_directed_lines(skolem_N7979, M38_645_8)
% 293.38/42.80 -> [18571] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_645_8))
% 293.38/42.80
% 293.38/42.80 [18571] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_645_8))
% 293.38/42.80
% 293.38/42.80 [18570] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_645_8)
% 293.38/42.80
% 293.38/42.80 [18114] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.38/42.80 -> [18135] ~line(skolem_M7878)
% 293.38/42.80 -> [18136] ~line(skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [18136] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.80 -> [18220] ((unequally_directed_lines(skolem_N7979, M38_630_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_630_8))) => (left_convergent_lines(skolem_N7979, M38_630_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_630_8))))
% 293.38/42.80
% 293.38/42.80 [18220] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_630_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_630_8))) => (left_convergent_lines(skolem_N7979, M38_630_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_630_8))))
% 293.38/42.80 -> [18221] ~(unequally_directed_lines(skolem_N7979, M38_630_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_630_8)))
% 293.38/42.80 -> [18222] (left_convergent_lines(skolem_N7979, M38_630_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_630_8)))
% 293.38/42.80
% 293.38/42.80 [18221] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_630_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_630_8)))
% 293.38/42.80 -> [19312] ~unequally_directed_lines(skolem_N7979, M38_630_8)
% 293.38/42.80 -> [19313] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_630_8))
% 293.38/42.80
% 293.38/42.80 [19313] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_630_8))
% 293.38/42.80
% 293.38/42.80 [19312] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_630_8)
% 293.38/42.80
% 293.38/42.80 [18222] BETA_OR : (left_convergent_lines(skolem_N7979, M38_630_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_630_8)))
% 293.38/42.80 -> [18226] left_convergent_lines(skolem_N7979, M38_630_8)
% 293.38/42.80 -> [18227] left_convergent_lines(skolem_N7979, reverse_line(M38_630_8))
% 293.38/42.80
% 293.38/42.80 [18227] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [18232] ~(left_apart_point(A39_1193_9, L40_1193_9) | left_apart_point(A39_1193_9, reverse_line(L40_1193_9)))
% 293.38/42.80
% 293.38/42.80 [18232] ALPHA_NOT_OR : ~(left_apart_point(A39_1193_9, L40_1193_9) | left_apart_point(A39_1193_9, reverse_line(L40_1193_9)))
% 293.38/42.80 -> [18234] ~left_apart_point(A39_1193_9, L40_1193_9), ~left_apart_point(A39_1193_9, reverse_line(L40_1193_9))
% 293.38/42.80
% 293.38/42.80 [18234] CLOSURE : ~left_apart_point(A39_1193_9, L40_1193_9)
% 293.38/42.80
% 293.38/42.80 [18226] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [19498] ~(left_apart_point(A39_1356_9, L40_1356_9) | left_apart_point(A39_1356_9, reverse_line(L40_1356_9)))
% 293.38/42.80
% 293.38/42.80 [19498] ALPHA_NOT_OR : ~(left_apart_point(A39_1356_9, L40_1356_9) | left_apart_point(A39_1356_9, reverse_line(L40_1356_9)))
% 293.38/42.80 -> [19499] ~left_apart_point(A39_1356_9, L40_1356_9), ~left_apart_point(A39_1356_9, reverse_line(L40_1356_9))
% 293.38/42.80
% 293.38/42.80 [19499] CLOSURE : ~left_apart_point(A39_1356_9, L40_1356_9)
% 293.38/42.80
% 293.38/42.80 [18135] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.80 -> [19288] ((unequally_directed_lines(skolem_N7979, M38_695_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_695_8))) => (left_convergent_lines(skolem_N7979, M38_695_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_695_8))))
% 293.38/42.80
% 293.38/42.80 [19288] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_695_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_695_8))) => (left_convergent_lines(skolem_N7979, M38_695_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_695_8))))
% 293.38/42.80 -> [19291] ~(unequally_directed_lines(skolem_N7979, M38_695_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_695_8)))
% 293.38/42.80 -> [19292] (left_convergent_lines(skolem_N7979, M38_695_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_695_8)))
% 293.38/42.80
% 293.38/42.80 [19291] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_695_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_695_8)))
% 293.38/42.80 -> [19320] ~unequally_directed_lines(skolem_N7979, M38_695_8)
% 293.38/42.80 -> [19321] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_695_8))
% 293.38/42.80
% 293.38/42.80 [19320] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_695_8)
% 293.38/42.80
% 293.38/42.80 [19321] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_695_8))
% 293.38/42.80
% 293.38/42.80 [19292] BETA_OR : (left_convergent_lines(skolem_N7979, M38_695_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_695_8)))
% 293.38/42.80 -> [19297] left_convergent_lines(skolem_N7979, M38_695_8)
% 293.38/42.80 -> [19298] left_convergent_lines(skolem_N7979, reverse_line(M38_695_8))
% 293.38/42.80
% 293.38/42.80 [19297] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [19524] ~(left_apart_point(A39_1358_9, L40_1358_9) | left_apart_point(A39_1358_9, reverse_line(L40_1358_9)))
% 293.38/42.80
% 293.38/42.80 [19524] ALPHA_NOT_OR : ~(left_apart_point(A39_1358_9, L40_1358_9) | left_apart_point(A39_1358_9, reverse_line(L40_1358_9)))
% 293.38/42.80 -> [19525] ~left_apart_point(A39_1358_9, L40_1358_9), ~left_apart_point(A39_1358_9, reverse_line(L40_1358_9))
% 293.38/42.80
% 293.38/42.80 [19525] CLOSURE : ~left_apart_point(A39_1358_9, L40_1358_9)
% 293.38/42.80
% 293.38/42.80 [19298] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [22331] ~(left_apart_point(A39_1720_9, L40_1720_9) | left_apart_point(A39_1720_9, reverse_line(L40_1720_9)))
% 293.38/42.80
% 293.38/42.80 [22331] ALPHA_NOT_OR : ~(left_apart_point(A39_1720_9, L40_1720_9) | left_apart_point(A39_1720_9, reverse_line(L40_1720_9)))
% 293.38/42.80 -> [22332] ~left_apart_point(A39_1720_9, L40_1720_9), ~left_apart_point(A39_1720_9, reverse_line(L40_1720_9))
% 293.38/42.80
% 293.38/42.80 [22332] CLOSURE : ~left_apart_point(A39_1720_9, L40_1720_9)
% 293.38/42.80
% 293.38/42.80 [1031] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.38/42.80 -> [1496] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.38/42.80
% 293.38/42.80 [1496] 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))))
% 293.38/42.80 -> [1754] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.38/42.80
% 293.38/42.80 [1754] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.38/42.80 -> [1757] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.80 -> [1758] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.38/42.80
% 293.38/42.80 [1757] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.80
% 293.38/42.80 [1758] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.38/42.80 -> [5687] distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.80 -> [5688] distinct_points(skolem_A8080, skolem_A8080)
% 293.38/42.80
% 293.38/42.80 [5688] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.38/42.80
% 293.38/42.80 [5687] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.38/42.80 -> [7404] ~distinct_lines(M26_244_3, M26_244_3)
% 293.38/42.80
% 293.38/42.80 [7404] 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))))
% 293.38/42.80 -> [7551] (distinct_lines(M26_244_3, M26_244_3) => (distinct_lines(M26_244_3, M26_244_3) | distinct_lines(M26_244_3, M26_244_3)))
% 293.38/42.80
% 293.38/42.80 [7551] BETA_IMPLY : (distinct_lines(M26_244_3, M26_244_3) => (distinct_lines(M26_244_3, M26_244_3) | distinct_lines(M26_244_3, M26_244_3)))
% 293.38/42.80 -> [7552] ~distinct_lines(M26_244_3, M26_244_3)
% 293.38/42.80 -> [7553] (distinct_lines(M26_244_3, M26_244_3) | distinct_lines(M26_244_3, M26_244_3))
% 293.38/42.80
% 293.38/42.80 [7553] BETA_OR : (distinct_lines(M26_244_3, M26_244_3) | distinct_lines(M26_244_3, M26_244_3))
% 293.38/42.80 -> [7555] distinct_lines(M26_244_3, M26_244_3)
% 293.38/42.80 -> [7556] distinct_lines(M26_244_3, M26_244_3)
% 293.38/42.80
% 293.38/42.80 [7555] CLOSURE : distinct_lines(M26_244_3, M26_244_3)
% 293.38/42.80
% 293.38/42.80 [7556] CLOSURE : distinct_lines(M26_244_3, M26_244_3)
% 293.38/42.80
% 293.38/42.80 [7552] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.38/42.80 -> [7773] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [7773] 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))))
% 293.38/42.80 -> [7899] (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))))
% 293.38/42.80
% 293.38/42.80 [7899] 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))))
% 293.38/42.80 -> [7900] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80 -> [7901] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.38/42.80
% 293.38/42.80 [7900] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [7901] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.38/42.80 -> [11758] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80 -> [11759] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [11759] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [11758] 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))))))
% 293.38/42.80 -> [12171] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_173_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_173_6))) | (unequally_directed_lines(skolem_N7979, N34_173_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_173_6)))))
% 293.38/42.80
% 293.38/42.80 [12171] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_173_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_173_6))) | (unequally_directed_lines(skolem_N7979, N34_173_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_173_6)))))
% 293.38/42.80 -> [12175] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.80 -> [12176] ((unequally_directed_lines(skolem_M7878, N34_173_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_173_6))) | (unequally_directed_lines(skolem_N7979, N34_173_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_173_6))))
% 293.38/42.80
% 293.38/42.80 [12175] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.80 -> [12190] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.80 -> [12191] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [12191] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [12190] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.80
% 293.38/42.80 [12176] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_173_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_173_6))) | (unequally_directed_lines(skolem_N7979, N34_173_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_173_6))))
% 293.38/42.80 -> [22525] (unequally_directed_lines(skolem_M7878, N34_173_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_173_6)))
% 293.38/42.80 -> [22526] (unequally_directed_lines(skolem_N7979, N34_173_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_173_6)))
% 293.38/42.80
% 293.38/42.80 [22526] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_173_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_173_6)))
% 293.38/42.80 -> [22532] unequally_directed_lines(skolem_N7979, N34_173_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_173_6))
% 293.38/42.80
% 293.38/42.80 [22532] 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)))))
% 293.38/42.80 -> [22595] ((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)))))
% 293.38/42.80
% 293.38/42.80 [22595] 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)))))
% 293.38/42.80 -> [22596] ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.38/42.80 -> [22597] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 293.38/42.80
% 293.38/42.80 [22596] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.38/42.80 -> [22670] ~line(reverse_line(skolem_N7979))
% 293.38/42.80 -> [22671] ~line(reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [22670] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.80 -> [23080] ((unequally_directed_lines(skolem_N7979, M38_939_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_939_8))) => (left_convergent_lines(skolem_N7979, M38_939_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_939_8))))
% 293.38/42.80
% 293.38/42.80 [23080] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_939_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_939_8))) => (left_convergent_lines(skolem_N7979, M38_939_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_939_8))))
% 293.38/42.80 -> [23083] ~(unequally_directed_lines(skolem_N7979, M38_939_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_939_8)))
% 293.38/42.80 -> [23084] (left_convergent_lines(skolem_N7979, M38_939_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_939_8)))
% 293.38/42.80
% 293.38/42.80 [23083] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_939_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_939_8)))
% 293.38/42.80 -> [23197] ~unequally_directed_lines(skolem_N7979, M38_939_8)
% 293.38/42.80 -> [23198] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_939_8))
% 293.38/42.80
% 293.38/42.80 [23198] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_939_8))
% 293.38/42.80
% 293.38/42.80 [23197] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_939_8)
% 293.38/42.80
% 293.38/42.80 [23084] BETA_OR : (left_convergent_lines(skolem_N7979, M38_939_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_939_8)))
% 293.38/42.80 -> [23088] left_convergent_lines(skolem_N7979, M38_939_8)
% 293.38/42.80 -> [23089] left_convergent_lines(skolem_N7979, reverse_line(M38_939_8))
% 293.38/42.80
% 293.38/42.80 [23088] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [23344] ~(left_apart_point(A39_1872_9, L40_1872_9) | left_apart_point(A39_1872_9, reverse_line(L40_1872_9)))
% 293.38/42.80
% 293.38/42.80 [23344] ALPHA_NOT_OR : ~(left_apart_point(A39_1872_9, L40_1872_9) | left_apart_point(A39_1872_9, reverse_line(L40_1872_9)))
% 293.38/42.80 -> [23348] ~left_apart_point(A39_1872_9, L40_1872_9), ~left_apart_point(A39_1872_9, reverse_line(L40_1872_9))
% 293.38/42.80
% 293.38/42.80 [23348] CLOSURE : ~left_apart_point(A39_1872_9, L40_1872_9)
% 293.38/42.80
% 293.38/42.80 [23089] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [23335] ~(left_apart_point(A39_1868_9, L40_1868_9) | left_apart_point(A39_1868_9, reverse_line(L40_1868_9)))
% 293.38/42.80
% 293.38/42.80 [23335] ALPHA_NOT_OR : ~(left_apart_point(A39_1868_9, L40_1868_9) | left_apart_point(A39_1868_9, reverse_line(L40_1868_9)))
% 293.38/42.80 -> [23336] ~left_apart_point(A39_1868_9, L40_1868_9), ~left_apart_point(A39_1868_9, reverse_line(L40_1868_9))
% 293.38/42.80
% 293.38/42.80 [23336] CLOSURE : ~left_apart_point(A39_1868_9, L40_1868_9)
% 293.38/42.80
% 293.38/42.80 [22671] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.80 -> [22810] ((unequally_directed_lines(skolem_N7979, M38_915_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_915_8))) => (left_convergent_lines(skolem_N7979, M38_915_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_915_8))))
% 293.38/42.80
% 293.38/42.80 [22810] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_915_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_915_8))) => (left_convergent_lines(skolem_N7979, M38_915_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_915_8))))
% 293.38/42.80 -> [22811] ~(unequally_directed_lines(skolem_N7979, M38_915_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_915_8)))
% 293.38/42.80 -> [22812] (left_convergent_lines(skolem_N7979, M38_915_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_915_8)))
% 293.38/42.80
% 293.38/42.80 [22811] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_915_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_915_8)))
% 293.38/42.80 -> [23213] ~unequally_directed_lines(skolem_N7979, M38_915_8)
% 293.38/42.80 -> [23214] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_915_8))
% 293.38/42.80
% 293.38/42.80 [23214] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_915_8))
% 293.38/42.80
% 293.38/42.80 [23213] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_915_8)
% 293.38/42.80
% 293.38/42.80 [22812] BETA_OR : (left_convergent_lines(skolem_N7979, M38_915_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_915_8)))
% 293.38/42.80 -> [22818] left_convergent_lines(skolem_N7979, M38_915_8)
% 293.38/42.80 -> [22819] left_convergent_lines(skolem_N7979, reverse_line(M38_915_8))
% 293.38/42.80
% 293.38/42.80 [22819] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [23311] ~(left_apart_point(A39_1861_9, L40_1861_9) | left_apart_point(A39_1861_9, reverse_line(L40_1861_9)))
% 293.38/42.80
% 293.38/42.80 [23311] ALPHA_NOT_OR : ~(left_apart_point(A39_1861_9, L40_1861_9) | left_apart_point(A39_1861_9, reverse_line(L40_1861_9)))
% 293.38/42.80 -> [23312] ~left_apart_point(A39_1861_9, L40_1861_9), ~left_apart_point(A39_1861_9, reverse_line(L40_1861_9))
% 293.38/42.80
% 293.38/42.80 [23312] CLOSURE : ~left_apart_point(A39_1861_9, L40_1861_9)
% 293.38/42.80
% 293.38/42.80 [22818] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [24857] ~(left_apart_point(A39_2097_9, L40_2097_9) | left_apart_point(A39_2097_9, reverse_line(L40_2097_9)))
% 293.38/42.80
% 293.38/42.80 [24857] ALPHA_NOT_OR : ~(left_apart_point(A39_2097_9, L40_2097_9) | left_apart_point(A39_2097_9, reverse_line(L40_2097_9)))
% 293.38/42.80 -> [24862] ~left_apart_point(A39_2097_9, L40_2097_9), ~left_apart_point(A39_2097_9, reverse_line(L40_2097_9))
% 293.38/42.80
% 293.38/42.80 [24862] CLOSURE : ~left_apart_point(A39_2097_9, L40_2097_9)
% 293.38/42.80
% 293.38/42.80 [22597] 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))))
% 293.38/42.80 -> [22601] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.38/42.80 -> [22602] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 293.38/42.80
% 293.38/42.80 [22601] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [22602] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.80 -> [24779] ((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))))
% 293.38/42.80
% 293.38/42.80 [24779] 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))))
% 293.38/42.80 -> [24780] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.80 -> [24781] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.80
% 293.38/42.80 [24781] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.80 -> [24787] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.38/42.80 -> [24788] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [24788] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [24841] ~(left_apart_point(A39_2093_9, L40_2093_9) | left_apart_point(A39_2093_9, reverse_line(L40_2093_9)))
% 293.38/42.80
% 293.38/42.80 [24841] ALPHA_NOT_OR : ~(left_apart_point(A39_2093_9, L40_2093_9) | left_apart_point(A39_2093_9, reverse_line(L40_2093_9)))
% 293.38/42.80 -> [24849] ~left_apart_point(A39_2093_9, L40_2093_9), ~left_apart_point(A39_2093_9, reverse_line(L40_2093_9))
% 293.38/42.80
% 293.38/42.80 [24849] CLOSURE : ~left_apart_point(A39_2093_9, L40_2093_9)
% 293.38/42.80
% 293.38/42.80 [24787] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [24846] ~(left_apart_point(A39_2096_9, L40_2096_9) | left_apart_point(A39_2096_9, reverse_line(L40_2096_9)))
% 293.38/42.80
% 293.38/42.80 [24846] ALPHA_NOT_OR : ~(left_apart_point(A39_2096_9, L40_2096_9) | left_apart_point(A39_2096_9, reverse_line(L40_2096_9)))
% 293.38/42.80 -> [24847] ~left_apart_point(A39_2096_9, L40_2096_9), ~left_apart_point(A39_2096_9, reverse_line(L40_2096_9))
% 293.38/42.80
% 293.38/42.80 [24847] CLOSURE : ~left_apart_point(A39_2096_9, L40_2096_9)
% 293.38/42.80
% 293.38/42.80 [24780] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.80 -> [24821] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.80 -> [24822] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [24822] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [24821] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.80
% 293.38/42.80 [22525] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_173_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_173_6)))
% 293.38/42.80 -> [22535] unequally_directed_lines(skolem_M7878, N34_173_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_173_6))
% 293.38/42.80
% 293.38/42.80 [22535] 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)))))
% 293.38/42.80 -> [22654] ((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)))))
% 293.38/42.80
% 293.38/42.80 [22654] 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)))))
% 293.38/42.80 -> [22655] ~(line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181)))
% 293.38/42.80 -> [22656] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 293.38/42.80
% 293.38/42.80 [22655] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181)))
% 293.38/42.80 -> [22710] ~line(skolem_L7777)
% 293.38/42.80 -> [22711] ~line(line_connecting(skolem_C8282, skolem_B8181))
% 293.38/42.80
% 293.38/42.80 [22710] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.80 -> [23041] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.38/42.80
% 293.38/42.80 [23041] 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))))
% 293.38/42.80 -> [23061] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [23062] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.80
% 293.38/42.80 [23062] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [23068] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.38/42.80 -> [23069] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [23068] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [23141] ~(left_apart_point(A39_1824_9, L40_1824_9) | left_apart_point(A39_1824_9, reverse_line(L40_1824_9)))
% 293.38/42.80
% 293.38/42.80 [23141] ALPHA_NOT_OR : ~(left_apart_point(A39_1824_9, L40_1824_9) | left_apart_point(A39_1824_9, reverse_line(L40_1824_9)))
% 293.38/42.80 -> [23143] ~left_apart_point(A39_1824_9, L40_1824_9), ~left_apart_point(A39_1824_9, reverse_line(L40_1824_9))
% 293.38/42.80
% 293.38/42.80 [23143] CLOSURE : ~left_apart_point(A39_1824_9, L40_1824_9)
% 293.38/42.80
% 293.38/42.80 [23069] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [23146] ~(left_apart_point(A39_1827_9, L40_1827_9) | left_apart_point(A39_1827_9, reverse_line(L40_1827_9)))
% 293.38/42.80
% 293.38/42.80 [23146] ALPHA_NOT_OR : ~(left_apart_point(A39_1827_9, L40_1827_9) | left_apart_point(A39_1827_9, reverse_line(L40_1827_9)))
% 293.38/42.80 -> [23149] ~left_apart_point(A39_1827_9, L40_1827_9), ~left_apart_point(A39_1827_9, reverse_line(L40_1827_9))
% 293.38/42.80
% 293.38/42.80 [23149] CLOSURE : ~left_apart_point(A39_1827_9, L40_1827_9)
% 293.38/42.80
% 293.38/42.80 [23061] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [23086] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.80 -> [23087] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [23087] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [23086] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [22711] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.80 -> [23026] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.38/42.80
% 293.38/42.80 [23026] 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))))
% 293.38/42.80 -> [23032] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [23033] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.80
% 293.38/42.80 [23032] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [23046] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.80 -> [23047] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [23047] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [23046] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [23033] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [23038] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.38/42.80 -> [23039] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [23039] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [23274] ~(left_apart_point(A39_1851_9, L40_1851_9) | left_apart_point(A39_1851_9, reverse_line(L40_1851_9)))
% 293.38/42.80
% 293.38/42.80 [23274] ALPHA_NOT_OR : ~(left_apart_point(A39_1851_9, L40_1851_9) | left_apart_point(A39_1851_9, reverse_line(L40_1851_9)))
% 293.38/42.80 -> [23279] ~left_apart_point(A39_1851_9, L40_1851_9), ~left_apart_point(A39_1851_9, reverse_line(L40_1851_9))
% 293.38/42.80
% 293.38/42.80 [23279] CLOSURE : ~left_apart_point(A39_1851_9, L40_1851_9)
% 293.38/42.80
% 293.38/42.80 [23038] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [23306] ~(left_apart_point(A39_1859_9, L40_1859_9) | left_apart_point(A39_1859_9, reverse_line(L40_1859_9)))
% 293.38/42.80
% 293.38/42.80 [23306] ALPHA_NOT_OR : ~(left_apart_point(A39_1859_9, L40_1859_9) | left_apart_point(A39_1859_9, reverse_line(L40_1859_9)))
% 293.38/42.80 -> [23309] ~left_apart_point(A39_1859_9, L40_1859_9), ~left_apart_point(A39_1859_9, reverse_line(L40_1859_9))
% 293.38/42.80
% 293.38/42.80 [23309] CLOSURE : ~left_apart_point(A39_1859_9, L40_1859_9)
% 293.38/42.80
% 293.38/42.80 [22656] 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))))
% 293.38/42.80 -> [22662] unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 293.38/42.80 -> [22663] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))
% 293.38/42.80
% 293.38/42.80 [22662] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 293.38/42.80
% 293.38/42.80 [22663] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.80 -> [25363] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.38/42.80
% 293.38/42.80 [25363] 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))))
% 293.38/42.80 -> [25364] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [25365] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.80
% 293.38/42.80 [25365] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [25367] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.38/42.80 -> [25368] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [25368] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [25442] ~(left_apart_point(A39_2170_9, L40_2170_9) | left_apart_point(A39_2170_9, reverse_line(L40_2170_9)))
% 293.38/42.80
% 293.38/42.80 [25442] ALPHA_NOT_OR : ~(left_apart_point(A39_2170_9, L40_2170_9) | left_apart_point(A39_2170_9, reverse_line(L40_2170_9)))
% 293.38/42.80 -> [25443] ~left_apart_point(A39_2170_9, L40_2170_9), ~left_apart_point(A39_2170_9, reverse_line(L40_2170_9))
% 293.38/42.80
% 293.38/42.80 [25443] CLOSURE : ~left_apart_point(A39_2170_9, L40_2170_9)
% 293.38/42.80
% 293.38/42.80 [25367] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [25702] ~(left_apart_point(A39_2218_9, L40_2218_9) | left_apart_point(A39_2218_9, reverse_line(L40_2218_9)))
% 293.38/42.80
% 293.38/42.80 [25702] ALPHA_NOT_OR : ~(left_apart_point(A39_2218_9, L40_2218_9) | left_apart_point(A39_2218_9, reverse_line(L40_2218_9)))
% 293.38/42.80 -> [25704] ~left_apart_point(A39_2218_9, L40_2218_9), ~left_apart_point(A39_2218_9, reverse_line(L40_2218_9))
% 293.38/42.80
% 293.38/42.80 [25704] CLOSURE : ~left_apart_point(A39_2218_9, L40_2218_9)
% 293.38/42.80
% 293.38/42.80 [25364] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [25369] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.80 -> [25370] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [25370] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [25369] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [285] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.38/42.80 -> [384] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 293.38/42.80 -> [385] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.38/42.80
% 293.38/42.80 [385] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.38/42.80 -> [390] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.38/42.80
% 293.38/42.80 [390] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.38/42.80 -> [393] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.38/42.80 -> [394] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [394] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.38/42.80 -> [1266] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.38/42.80
% 293.38/42.80 [1266] 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))))
% 293.38/42.80 -> [1455] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.38/42.80
% 293.38/42.80 [1455] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.38/42.80 -> [1458] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.80 -> [1459] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.38/42.80
% 293.38/42.80 [1458] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.80
% 293.38/42.80 [1459] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.38/42.80 -> [4361] distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.80 -> [4362] distinct_points(skolem_A8080, skolem_A8080)
% 293.38/42.80
% 293.38/42.80 [4362] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.38/42.80
% 293.38/42.80 [4361] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.38/42.80 -> [4804] ~distinct_lines(N27_142_3, N27_142_3)
% 293.38/42.80
% 293.38/42.80 [4804] 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))))
% 293.38/42.80 -> [5279] (distinct_lines(N27_142_3, N27_142_3) => (distinct_lines(N27_142_3, N27_142_3) | distinct_lines(N27_142_3, N27_142_3)))
% 293.38/42.80
% 293.38/42.80 [5279] BETA_IMPLY : (distinct_lines(N27_142_3, N27_142_3) => (distinct_lines(N27_142_3, N27_142_3) | distinct_lines(N27_142_3, N27_142_3)))
% 293.38/42.80 -> [5280] ~distinct_lines(N27_142_3, N27_142_3)
% 293.38/42.80 -> [5281] (distinct_lines(N27_142_3, N27_142_3) | distinct_lines(N27_142_3, N27_142_3))
% 293.38/42.80
% 293.38/42.80 [5281] BETA_OR : (distinct_lines(N27_142_3, N27_142_3) | distinct_lines(N27_142_3, N27_142_3))
% 293.38/42.80 -> [5285] distinct_lines(N27_142_3, N27_142_3)
% 293.38/42.80 -> [5286] distinct_lines(N27_142_3, N27_142_3)
% 293.38/42.80
% 293.38/42.80 [5285] CLOSURE : distinct_lines(N27_142_3, N27_142_3)
% 293.38/42.80
% 293.38/42.80 [5286] CLOSURE : distinct_lines(N27_142_3, N27_142_3)
% 293.38/42.80
% 293.38/42.80 [5280] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.38/42.80 -> [5366] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [5366] 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))))
% 293.38/42.80 -> [5475] (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)))
% 293.38/42.80
% 293.38/42.80 [5475] 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)))
% 293.38/42.80 -> [5476] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80 -> [5477] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [5476] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [5477] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.38/42.80 -> [9612] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80 -> [9613] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [9612] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [9613] 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))))))
% 293.38/42.80 -> [11854] ((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)))))
% 293.38/42.80
% 293.38/42.80 [11854] 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)))))
% 293.38/42.80 -> [11858] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.80 -> [11859] ((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))))
% 293.38/42.80
% 293.38/42.80 [11858] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.80 -> [11876] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.80 -> [11877] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [11877] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [11876] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.80
% 293.38/42.80 [11859] 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))))
% 293.38/42.80 -> [15168] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [15169] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.80
% 293.38/42.80 [15168] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [15302] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [15302] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [15169] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [15178] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [15178] 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)))))
% 293.38/42.80 -> [16185] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.38/42.80
% 293.38/42.80 [16185] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.38/42.80 -> [16187] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.38/42.80 -> [16188] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.80
% 293.38/42.80 [16187] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.38/42.80 -> [16314] ~line(skolem_M7878)
% 293.38/42.80 -> [16315] ~line(skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [16314] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.80 -> [17105] ((unequally_directed_lines(skolem_N7979, M38_564_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_564_8))) => (left_convergent_lines(skolem_N7979, M38_564_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_564_8))))
% 293.38/42.80
% 293.38/42.80 [17105] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_564_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_564_8))) => (left_convergent_lines(skolem_N7979, M38_564_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_564_8))))
% 293.38/42.80 -> [17106] ~(unequally_directed_lines(skolem_N7979, M38_564_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_564_8)))
% 293.38/42.80 -> [17107] (left_convergent_lines(skolem_N7979, M38_564_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_564_8)))
% 293.38/42.80
% 293.38/42.80 [17106] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_564_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_564_8)))
% 293.38/42.80 -> [17741] ~unequally_directed_lines(skolem_N7979, M38_564_8)
% 293.38/42.80 -> [17742] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_564_8))
% 293.38/42.80
% 293.38/42.80 [17741] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_564_8)
% 293.38/42.80
% 293.38/42.80 [17742] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_564_8))
% 293.38/42.80
% 293.38/42.80 [17107] BETA_OR : (left_convergent_lines(skolem_N7979, M38_564_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_564_8)))
% 293.38/42.80 -> [17112] left_convergent_lines(skolem_N7979, M38_564_8)
% 293.38/42.80 -> [17113] left_convergent_lines(skolem_N7979, reverse_line(M38_564_8))
% 293.38/42.80
% 293.38/42.80 [17113] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [18170] ~(left_apart_point(A39_1179_9, L40_1179_9) | left_apart_point(A39_1179_9, reverse_line(L40_1179_9)))
% 293.38/42.80
% 293.38/42.80 [18170] ALPHA_NOT_OR : ~(left_apart_point(A39_1179_9, L40_1179_9) | left_apart_point(A39_1179_9, reverse_line(L40_1179_9)))
% 293.38/42.80 -> [18171] ~left_apart_point(A39_1179_9, L40_1179_9), ~left_apart_point(A39_1179_9, reverse_line(L40_1179_9))
% 293.38/42.80
% 293.38/42.80 [18171] CLOSURE : ~left_apart_point(A39_1179_9, L40_1179_9)
% 293.38/42.80
% 293.38/42.80 [17112] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [18153] ~(left_apart_point(A39_1176_9, L40_1176_9) | left_apart_point(A39_1176_9, reverse_line(L40_1176_9)))
% 293.38/42.80
% 293.38/42.80 [18153] ALPHA_NOT_OR : ~(left_apart_point(A39_1176_9, L40_1176_9) | left_apart_point(A39_1176_9, reverse_line(L40_1176_9)))
% 293.38/42.80 -> [18155] ~left_apart_point(A39_1176_9, L40_1176_9), ~left_apart_point(A39_1176_9, reverse_line(L40_1176_9))
% 293.38/42.80
% 293.38/42.80 [18155] CLOSURE : ~left_apart_point(A39_1176_9, L40_1176_9)
% 293.38/42.80
% 293.38/42.80 [16315] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.80 -> [16933] ((unequally_directed_lines(skolem_N7979, M38_552_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_552_8))) => (left_convergent_lines(skolem_N7979, M38_552_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_552_8))))
% 293.38/42.80
% 293.38/42.80 [16933] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_552_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_552_8))) => (left_convergent_lines(skolem_N7979, M38_552_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_552_8))))
% 293.38/42.80 -> [16934] ~(unequally_directed_lines(skolem_N7979, M38_552_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_552_8)))
% 293.38/42.80 -> [16935] (left_convergent_lines(skolem_N7979, M38_552_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_552_8)))
% 293.38/42.80
% 293.38/42.80 [16934] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_552_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_552_8)))
% 293.38/42.80 -> [17122] ~unequally_directed_lines(skolem_N7979, M38_552_8)
% 293.38/42.80 -> [17123] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_552_8))
% 293.38/42.80
% 293.38/42.80 [17122] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_552_8)
% 293.38/42.80
% 293.38/42.80 [17123] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_552_8))
% 293.38/42.80
% 293.38/42.80 [16935] BETA_OR : (left_convergent_lines(skolem_N7979, M38_552_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_552_8)))
% 293.38/42.80 -> [16938] left_convergent_lines(skolem_N7979, M38_552_8)
% 293.38/42.80 -> [16939] left_convergent_lines(skolem_N7979, reverse_line(M38_552_8))
% 293.38/42.80
% 293.38/42.80 [16939] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [20780] ~(left_apart_point(A39_1522_9, L40_1522_9) | left_apart_point(A39_1522_9, reverse_line(L40_1522_9)))
% 293.38/42.80
% 293.38/42.80 [20780] ALPHA_NOT_OR : ~(left_apart_point(A39_1522_9, L40_1522_9) | left_apart_point(A39_1522_9, reverse_line(L40_1522_9)))
% 293.38/42.80 -> [20783] ~left_apart_point(A39_1522_9, L40_1522_9), ~left_apart_point(A39_1522_9, reverse_line(L40_1522_9))
% 293.38/42.80
% 293.38/42.80 [20783] CLOSURE : ~left_apart_point(A39_1522_9, L40_1522_9)
% 293.38/42.80
% 293.38/42.80 [16938] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [21326] ~(left_apart_point(A39_1561_9, L40_1561_9) | left_apart_point(A39_1561_9, reverse_line(L40_1561_9)))
% 293.38/42.80
% 293.38/42.80 [21326] ALPHA_NOT_OR : ~(left_apart_point(A39_1561_9, L40_1561_9) | left_apart_point(A39_1561_9, reverse_line(L40_1561_9)))
% 293.38/42.80 -> [21329] ~left_apart_point(A39_1561_9, L40_1561_9), ~left_apart_point(A39_1561_9, reverse_line(L40_1561_9))
% 293.38/42.80
% 293.38/42.80 [21329] CLOSURE : ~left_apart_point(A39_1561_9, L40_1561_9)
% 293.38/42.80
% 293.38/42.80 [16188] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [16191] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80 -> [16192] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [16191] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [16192] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.80 -> [16944] ((unequally_directed_lines(skolem_N7979, M38_553_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_553_8))) => (left_convergent_lines(skolem_N7979, M38_553_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_553_8))))
% 293.38/42.80
% 293.38/42.80 [16944] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_553_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_553_8))) => (left_convergent_lines(skolem_N7979, M38_553_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_553_8))))
% 293.38/42.80 -> [16946] ~(unequally_directed_lines(skolem_N7979, M38_553_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_553_8)))
% 293.38/42.80 -> [16947] (left_convergent_lines(skolem_N7979, M38_553_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_553_8)))
% 293.38/42.80
% 293.38/42.80 [16946] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_553_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_553_8)))
% 293.38/42.80 -> [17137] ~unequally_directed_lines(skolem_N7979, M38_553_8)
% 293.38/42.80 -> [17138] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_553_8))
% 293.38/42.80
% 293.38/42.80 [17137] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_553_8)
% 293.38/42.80
% 293.38/42.80 [17138] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_553_8))
% 293.38/42.80
% 293.38/42.80 [16947] BETA_OR : (left_convergent_lines(skolem_N7979, M38_553_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_553_8)))
% 293.38/42.80 -> [16954] left_convergent_lines(skolem_N7979, M38_553_8)
% 293.38/42.80 -> [16955] left_convergent_lines(skolem_N7979, reverse_line(M38_553_8))
% 293.38/42.80
% 293.38/42.80 [16954] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [21106] ~(left_apart_point(A39_1539_9, L40_1539_9) | left_apart_point(A39_1539_9, reverse_line(L40_1539_9)))
% 293.38/42.80
% 293.38/42.80 [21106] ALPHA_NOT_OR : ~(left_apart_point(A39_1539_9, L40_1539_9) | left_apart_point(A39_1539_9, reverse_line(L40_1539_9)))
% 293.38/42.80 -> [21107] ~left_apart_point(A39_1539_9, L40_1539_9), ~left_apart_point(A39_1539_9, reverse_line(L40_1539_9))
% 293.38/42.80
% 293.38/42.80 [21107] CLOSURE : ~left_apart_point(A39_1539_9, L40_1539_9)
% 293.38/42.80
% 293.38/42.80 [16955] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [21151] ~(left_apart_point(A39_1548_9, L40_1548_9) | left_apart_point(A39_1548_9, reverse_line(L40_1548_9)))
% 293.38/42.80
% 293.38/42.80 [21151] ALPHA_NOT_OR : ~(left_apart_point(A39_1548_9, L40_1548_9) | left_apart_point(A39_1548_9, reverse_line(L40_1548_9)))
% 293.38/42.80 -> [21157] ~left_apart_point(A39_1548_9, L40_1548_9), ~left_apart_point(A39_1548_9, reverse_line(L40_1548_9))
% 293.38/42.80
% 293.38/42.80 [21157] CLOSURE : ~left_apart_point(A39_1548_9, L40_1548_9)
% 293.38/42.80
% 293.38/42.80 [393] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.38/42.80 -> [1003] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.38/42.80
% 293.38/42.80 [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))))
% 293.38/42.80 -> [1417] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.38/42.80
% 293.38/42.80 [1417] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.38/42.80 -> [1419] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.80 -> [1420] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.38/42.80
% 293.38/42.80 [1419] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.80
% 293.38/42.80 [1420] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.38/42.80 -> [6882] distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.80 -> [6883] distinct_points(skolem_A8080, skolem_A8080)
% 293.38/42.80
% 293.38/42.80 [6883] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.38/42.80
% 293.38/42.80 [6882] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.38/42.80 -> [8123] ~distinct_lines(N27_257_3, N27_257_3)
% 293.38/42.80
% 293.38/42.80 [8123] 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))))
% 293.38/42.80 -> [8157] (distinct_lines(N27_257_3, N27_257_3) => (distinct_lines(N27_257_3, N27_257_3) | distinct_lines(N27_257_3, N27_257_3)))
% 293.38/42.80
% 293.38/42.80 [8157] BETA_IMPLY : (distinct_lines(N27_257_3, N27_257_3) => (distinct_lines(N27_257_3, N27_257_3) | distinct_lines(N27_257_3, N27_257_3)))
% 293.38/42.80 -> [8158] ~distinct_lines(N27_257_3, N27_257_3)
% 293.38/42.80 -> [8159] (distinct_lines(N27_257_3, N27_257_3) | distinct_lines(N27_257_3, N27_257_3))
% 293.38/42.80
% 293.38/42.80 [8159] BETA_OR : (distinct_lines(N27_257_3, N27_257_3) | distinct_lines(N27_257_3, N27_257_3))
% 293.38/42.80 -> [8160] distinct_lines(N27_257_3, N27_257_3)
% 293.38/42.80 -> [8161] distinct_lines(N27_257_3, N27_257_3)
% 293.38/42.80
% 293.38/42.80 [8161] CLOSURE : distinct_lines(N27_257_3, N27_257_3)
% 293.38/42.80
% 293.38/42.80 [8160] CLOSURE : distinct_lines(N27_257_3, N27_257_3)
% 293.38/42.80
% 293.38/42.80 [8158] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.38/42.80 -> [8215] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [8215] 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))))
% 293.38/42.80 -> [8346] (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)))
% 293.38/42.80
% 293.38/42.80 [8346] 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)))
% 293.38/42.80 -> [8347] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80 -> [8348] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [8347] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [8348] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.38/42.80 -> [12483] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80 -> [12484] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [12483] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [12484] 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))))))
% 293.38/42.80 -> [16076] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => ((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_M7878, line_connecting(skolem_C8282, skolem_B8181)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))))
% 293.38/42.80
% 293.38/42.80 [16076] 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_C8282, skolem_B8181)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))) | (unequally_directed_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))))
% 293.38/42.80 -> [16079] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [16080] ((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_M7878, line_connecting(skolem_C8282, skolem_B8181)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))))
% 293.38/42.80
% 293.38/42.80 [16079] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [16134] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.80 -> [16135] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [16135] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [16134] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [16080] 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_M7878, line_connecting(skolem_C8282, skolem_B8181)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))))
% 293.38/42.80 -> [20652] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 293.38/42.80 -> [20653] (unequally_directed_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 293.38/42.80
% 293.38/42.80 [20652] 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))))
% 293.38/42.80 -> [20675] unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)), unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))
% 293.38/42.80
% 293.38/42.80 [20675] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 293.38/42.80
% 293.38/42.80 [20659] 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)))))
% 293.38/42.80 -> [23050] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.38/42.80
% 293.38/42.80 [23050] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.38/42.80 -> [23052] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.38/42.80 -> [23053] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.80
% 293.38/42.80 [23053] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [23055] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80 -> [23056] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [23055] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [23056] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.80 -> [23270] ((unequally_directed_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))) => (left_convergent_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181)) | left_convergent_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))))
% 293.38/42.80
% 293.38/42.80 [23270] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))) => (left_convergent_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181)) | left_convergent_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))))
% 293.38/42.80 -> [23271] ~(unequally_directed_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 293.38/42.80 -> [23272] (left_convergent_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181)) | left_convergent_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 293.38/42.80
% 293.38/42.80 [23271] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 293.38/42.80 -> [23317] ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181))
% 293.38/42.80 -> [23318] ~unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))
% 293.38/42.80
% 293.38/42.80 [23318] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))
% 293.38/42.80
% 293.38/42.80 [23317] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181))
% 293.38/42.80
% 293.38/42.80 [23272] BETA_OR : (left_convergent_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181)) | left_convergent_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 293.38/42.80 -> [23275] left_convergent_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181))
% 293.38/42.80 -> [23276] left_convergent_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))
% 293.38/42.80
% 293.38/42.80 [23276] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [23424] ~(left_apart_point(A39_1874_9, L40_1874_9) | left_apart_point(A39_1874_9, reverse_line(L40_1874_9)))
% 293.38/42.80
% 293.38/42.80 [23424] ALPHA_NOT_OR : ~(left_apart_point(A39_1874_9, L40_1874_9) | left_apart_point(A39_1874_9, reverse_line(L40_1874_9)))
% 293.38/42.80 -> [23425] ~left_apart_point(A39_1874_9, L40_1874_9), ~left_apart_point(A39_1874_9, reverse_line(L40_1874_9))
% 293.38/42.80
% 293.38/42.80 [23425] CLOSURE : ~left_apart_point(A39_1874_9, L40_1874_9)
% 293.38/42.80
% 293.38/42.80 [23275] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [23502] ~(left_apart_point(A39_1887_9, L40_1887_9) | left_apart_point(A39_1887_9, reverse_line(L40_1887_9)))
% 293.38/42.80
% 293.38/42.80 [23502] ALPHA_NOT_OR : ~(left_apart_point(A39_1887_9, L40_1887_9) | left_apart_point(A39_1887_9, reverse_line(L40_1887_9)))
% 293.38/42.80 -> [23503] ~left_apart_point(A39_1887_9, L40_1887_9), ~left_apart_point(A39_1887_9, reverse_line(L40_1887_9))
% 293.38/42.80
% 293.38/42.80 [23503] CLOSURE : ~left_apart_point(A39_1887_9, L40_1887_9)
% 293.38/42.80
% 293.38/42.80 [23052] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.38/42.80 -> [23063] ~line(skolem_M7878)
% 293.38/42.80 -> [23064] ~line(skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [23064] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.80 -> [23211] ((unequally_directed_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))) => (left_convergent_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181)) | left_convergent_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))))
% 293.38/42.80
% 293.38/42.80 [23211] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))) => (left_convergent_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181)) | left_convergent_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))))
% 293.38/42.80 -> [23217] ~(unequally_directed_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 293.38/42.80 -> [23218] (left_convergent_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181)) | left_convergent_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 293.38/42.80
% 293.38/42.80 [23218] BETA_OR : (left_convergent_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181)) | left_convergent_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 293.38/42.80 -> [23222] left_convergent_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181))
% 293.38/42.80 -> [23223] left_convergent_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))
% 293.38/42.80
% 293.38/42.80 [23222] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [23417] ~(left_apart_point(A39_1873_9, L40_1873_9) | left_apart_point(A39_1873_9, reverse_line(L40_1873_9)))
% 293.38/42.80
% 293.38/42.80 [23417] ALPHA_NOT_OR : ~(left_apart_point(A39_1873_9, L40_1873_9) | left_apart_point(A39_1873_9, reverse_line(L40_1873_9)))
% 293.38/42.80 -> [23418] ~left_apart_point(A39_1873_9, L40_1873_9), ~left_apart_point(A39_1873_9, reverse_line(L40_1873_9))
% 293.38/42.80
% 293.38/42.80 [23418] CLOSURE : ~left_apart_point(A39_1873_9, L40_1873_9)
% 293.38/42.80
% 293.38/42.80 [23223] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [23340] ~(left_apart_point(A39_1870_9, L40_1870_9) | left_apart_point(A39_1870_9, reverse_line(L40_1870_9)))
% 293.38/42.80
% 293.38/42.80 [23340] ALPHA_NOT_OR : ~(left_apart_point(A39_1870_9, L40_1870_9) | left_apart_point(A39_1870_9, reverse_line(L40_1870_9)))
% 293.38/42.80 -> [23342] ~left_apart_point(A39_1870_9, L40_1870_9), ~left_apart_point(A39_1870_9, reverse_line(L40_1870_9))
% 293.38/42.80
% 293.38/42.80 [23342] CLOSURE : ~left_apart_point(A39_1870_9, L40_1870_9)
% 293.38/42.80
% 293.38/42.80 [23217] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 293.38/42.80 -> [23259] ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181))
% 293.38/42.80 -> [23260] ~unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))
% 293.38/42.80
% 293.38/42.80 [23260] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))
% 293.38/42.80
% 293.38/42.80 [23259] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181))
% 293.38/42.80
% 293.38/42.80 [23063] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.80 -> [23249] ((unequally_directed_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))) => (left_convergent_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181)) | left_convergent_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))))
% 293.38/42.80
% 293.38/42.80 [23249] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))) => (left_convergent_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181)) | left_convergent_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))))
% 293.38/42.80 -> [23251] ~(unequally_directed_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 293.38/42.80 -> [23252] (left_convergent_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181)) | left_convergent_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 293.38/42.80
% 293.38/42.80 [23251] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 293.38/42.80 -> [23301] ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181))
% 293.38/42.80 -> [23302] ~unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))
% 293.38/42.80
% 293.38/42.80 [23301] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181))
% 293.38/42.80
% 293.38/42.80 [23302] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))
% 293.38/42.80
% 293.38/42.80 [23252] BETA_OR : (left_convergent_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181)) | left_convergent_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 293.38/42.80 -> [23255] left_convergent_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181))
% 293.38/42.80 -> [23256] left_convergent_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))
% 293.38/42.80
% 293.38/42.80 [23255] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [24894] ~(left_apart_point(A39_2101_9, L40_2101_9) | left_apart_point(A39_2101_9, reverse_line(L40_2101_9)))
% 293.38/42.80
% 293.38/42.80 [24894] ALPHA_NOT_OR : ~(left_apart_point(A39_2101_9, L40_2101_9) | left_apart_point(A39_2101_9, reverse_line(L40_2101_9)))
% 293.38/42.80 -> [24897] ~left_apart_point(A39_2101_9, L40_2101_9), ~left_apart_point(A39_2101_9, reverse_line(L40_2101_9))
% 293.38/42.80
% 293.38/42.80 [24897] CLOSURE : ~left_apart_point(A39_2101_9, L40_2101_9)
% 293.38/42.80
% 293.38/42.80 [23256] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [24925] ~(left_apart_point(A39_2108_9, L40_2108_9) | left_apart_point(A39_2108_9, reverse_line(L40_2108_9)))
% 293.38/42.80
% 293.38/42.80 [24925] ALPHA_NOT_OR : ~(left_apart_point(A39_2108_9, L40_2108_9) | left_apart_point(A39_2108_9, reverse_line(L40_2108_9)))
% 293.38/42.80 -> [24926] ~left_apart_point(A39_2108_9, L40_2108_9), ~left_apart_point(A39_2108_9, reverse_line(L40_2108_9))
% 293.38/42.80
% 293.38/42.80 [24926] CLOSURE : ~left_apart_point(A39_2108_9, L40_2108_9)
% 293.38/42.80
% 293.38/42.80 [384] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.38/42.80 -> [454] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.38/42.80
% 293.38/42.80 [454] 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))))
% 293.38/42.80 -> [1173] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.38/42.80
% 293.38/42.80 [1173] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.38/42.80 -> [1174] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.80 -> [1175] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.38/42.80
% 293.38/42.80 [1174] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.80
% 293.38/42.80 [1175] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.38/42.80 -> [2880] distinct_points(skolem_B8181, skolem_B8181)
% 293.38/42.80 -> [2881] distinct_points(skolem_A8080, skolem_B8181)
% 293.38/42.80
% 293.38/42.80 [2880] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.38/42.80
% 293.38/42.80 [2881] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.38/42.80 -> [2993] ~distinct_lines(N27_37_3, N27_37_3)
% 293.38/42.80
% 293.38/42.80 [2993] 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))))
% 293.38/42.80 -> [3033] (distinct_lines(N27_37_3, N27_37_3) => (distinct_lines(N27_37_3, N27_37_3) | distinct_lines(N27_37_3, N27_37_3)))
% 293.38/42.80
% 293.38/42.80 [3033] 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)))
% 293.38/42.80 -> [3034] ~distinct_lines(N27_37_3, N27_37_3)
% 293.38/42.80 -> [3035] (distinct_lines(N27_37_3, N27_37_3) | distinct_lines(N27_37_3, N27_37_3))
% 293.38/42.80
% 293.38/42.80 [3035] BETA_OR : (distinct_lines(N27_37_3, N27_37_3) | distinct_lines(N27_37_3, N27_37_3))
% 293.38/42.80 -> [3039] distinct_lines(N27_37_3, N27_37_3)
% 293.38/42.80 -> [3040] distinct_lines(N27_37_3, N27_37_3)
% 293.38/42.80
% 293.38/42.80 [3040] CLOSURE : distinct_lines(N27_37_3, N27_37_3)
% 293.38/42.80
% 293.38/42.80 [3039] CLOSURE : distinct_lines(N27_37_3, N27_37_3)
% 293.38/42.80
% 293.38/42.80 [3034] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.38/42.80 -> [3125] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [3125] 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))))
% 293.38/42.80 -> [3245] (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)))
% 293.38/42.80
% 293.38/42.80 [3245] 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)))
% 293.38/42.80 -> [3248] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80 -> [3249] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [3248] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [3249] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.38/42.80 -> [8796] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80 -> [8797] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [8796] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [8797] 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))))))
% 293.38/42.80 -> [12095] ((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)))))
% 293.38/42.80
% 293.38/42.80 [12095] 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)))))
% 293.38/42.80 -> [12096] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.80 -> [12097] ((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))))
% 293.38/42.80
% 293.38/42.80 [12096] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.80 -> [12413] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.80 -> [12414] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [12414] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [12413] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.80
% 293.38/42.80 [12097] 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))))
% 293.38/42.80 -> [25285] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [25286] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.80
% 293.38/42.80 [25285] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [25307] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [25307] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [25286] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [25292] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [25292] 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)))))
% 293.38/42.80 -> [25467] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.38/42.80
% 293.38/42.80 [25467] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.38/42.80 -> [25469] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.38/42.80 -> [25470] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.80
% 293.38/42.80 [25469] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.38/42.80 -> [25486] ~line(skolem_M7878)
% 293.38/42.80 -> [25487] ~line(skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [25487] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.80 -> [25491] ((unequally_directed_lines(skolem_N7979, M38_1110_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1110_8))) => (left_convergent_lines(skolem_N7979, M38_1110_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1110_8))))
% 293.38/42.80
% 293.38/42.80 [25491] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1110_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1110_8))) => (left_convergent_lines(skolem_N7979, M38_1110_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1110_8))))
% 293.38/42.80 -> [25493] ~(unequally_directed_lines(skolem_N7979, M38_1110_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1110_8)))
% 293.38/42.80 -> [25494] (left_convergent_lines(skolem_N7979, M38_1110_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1110_8)))
% 293.38/42.80
% 293.38/42.80 [25494] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1110_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1110_8)))
% 293.38/42.80 -> [25501] left_convergent_lines(skolem_N7979, M38_1110_8)
% 293.38/42.80 -> [25502] left_convergent_lines(skolem_N7979, reverse_line(M38_1110_8))
% 293.38/42.80
% 293.38/42.80 [25501] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [25516] ~(left_apart_point(A39_2185_9, L40_2185_9) | left_apart_point(A39_2185_9, reverse_line(L40_2185_9)))
% 293.38/42.80
% 293.38/42.80 [25516] ALPHA_NOT_OR : ~(left_apart_point(A39_2185_9, L40_2185_9) | left_apart_point(A39_2185_9, reverse_line(L40_2185_9)))
% 293.38/42.80 -> [25521] ~left_apart_point(A39_2185_9, L40_2185_9), ~left_apart_point(A39_2185_9, reverse_line(L40_2185_9))
% 293.38/42.80
% 293.38/42.80 [25521] CLOSURE : ~left_apart_point(A39_2185_9, L40_2185_9)
% 293.38/42.80
% 293.38/42.80 [25502] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [25525] ~(left_apart_point(A39_2186_9, L40_2186_9) | left_apart_point(A39_2186_9, reverse_line(L40_2186_9)))
% 293.38/42.80
% 293.38/42.80 [25525] ALPHA_NOT_OR : ~(left_apart_point(A39_2186_9, L40_2186_9) | left_apart_point(A39_2186_9, reverse_line(L40_2186_9)))
% 293.38/42.80 -> [25528] ~left_apart_point(A39_2186_9, L40_2186_9), ~left_apart_point(A39_2186_9, reverse_line(L40_2186_9))
% 293.38/42.80
% 293.38/42.80 [25528] CLOSURE : ~left_apart_point(A39_2186_9, L40_2186_9)
% 293.38/42.80
% 293.38/42.80 [25493] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1110_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1110_8)))
% 293.38/42.80 -> [25508] ~unequally_directed_lines(skolem_N7979, M38_1110_8)
% 293.38/42.80 -> [25509] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1110_8))
% 293.38/42.80
% 293.38/42.80 [25509] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1110_8))
% 293.38/42.80
% 293.38/42.80 [25508] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1110_8)
% 293.38/42.80
% 293.38/42.80 [25486] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.80 -> [25537] ((unequally_directed_lines(skolem_N7979, M38_1111_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1111_8))) => (left_convergent_lines(skolem_N7979, M38_1111_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1111_8))))
% 293.38/42.80
% 293.38/42.80 [25537] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1111_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1111_8))) => (left_convergent_lines(skolem_N7979, M38_1111_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1111_8))))
% 293.38/42.80 -> [25538] ~(unequally_directed_lines(skolem_N7979, M38_1111_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1111_8)))
% 293.38/42.80 -> [25539] (left_convergent_lines(skolem_N7979, M38_1111_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1111_8)))
% 293.38/42.80
% 293.38/42.80 [25539] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1111_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1111_8)))
% 293.38/42.80 -> [25544] left_convergent_lines(skolem_N7979, M38_1111_8)
% 293.38/42.80 -> [25545] left_convergent_lines(skolem_N7979, reverse_line(M38_1111_8))
% 293.38/42.80
% 293.38/42.80 [25545] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [25604] ~(left_apart_point(A39_2200_9, L40_2200_9) | left_apart_point(A39_2200_9, reverse_line(L40_2200_9)))
% 293.38/42.80
% 293.38/42.80 [25604] ALPHA_NOT_OR : ~(left_apart_point(A39_2200_9, L40_2200_9) | left_apart_point(A39_2200_9, reverse_line(L40_2200_9)))
% 293.38/42.80 -> [25605] ~left_apart_point(A39_2200_9, L40_2200_9), ~left_apart_point(A39_2200_9, reverse_line(L40_2200_9))
% 293.38/42.80
% 293.38/42.80 [25605] CLOSURE : ~left_apart_point(A39_2200_9, L40_2200_9)
% 293.38/42.80
% 293.38/42.80 [25544] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [25612] ~(left_apart_point(A39_2203_9, L40_2203_9) | left_apart_point(A39_2203_9, reverse_line(L40_2203_9)))
% 293.38/42.80
% 293.38/42.80 [25612] ALPHA_NOT_OR : ~(left_apart_point(A39_2203_9, L40_2203_9) | left_apart_point(A39_2203_9, reverse_line(L40_2203_9)))
% 293.38/42.80 -> [25613] ~left_apart_point(A39_2203_9, L40_2203_9), ~left_apart_point(A39_2203_9, reverse_line(L40_2203_9))
% 293.38/42.80
% 293.38/42.80 [25613] CLOSURE : ~left_apart_point(A39_2203_9, L40_2203_9)
% 293.38/42.80
% 293.38/42.80 [25538] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1111_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1111_8)))
% 293.38/42.80 -> [25557] ~unequally_directed_lines(skolem_N7979, M38_1111_8)
% 293.38/42.80 -> [25558] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1111_8))
% 293.38/42.80
% 293.38/42.80 [25558] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1111_8))
% 293.38/42.80
% 293.38/42.80 [25557] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1111_8)
% 293.38/42.80
% 293.38/42.80 [25470] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [25476] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80 -> [25477] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [25476] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [25477] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.80 -> [25909] ((unequally_directed_lines(skolem_N7979, M38_1138_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1138_8))) => (left_convergent_lines(skolem_N7979, M38_1138_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1138_8))))
% 293.38/42.80
% 293.38/42.80 [25909] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1138_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1138_8))) => (left_convergent_lines(skolem_N7979, M38_1138_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1138_8))))
% 293.38/42.80 -> [25912] ~(unequally_directed_lines(skolem_N7979, M38_1138_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1138_8)))
% 293.38/42.80 -> [25913] (left_convergent_lines(skolem_N7979, M38_1138_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1138_8)))
% 293.38/42.80
% 293.38/42.80 [25913] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1138_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1138_8)))
% 293.38/42.80 -> [25918] left_convergent_lines(skolem_N7979, M38_1138_8)
% 293.38/42.80 -> [25919] left_convergent_lines(skolem_N7979, reverse_line(M38_1138_8))
% 293.38/42.80
% 293.38/42.80 [25919] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [25950] ~(left_apart_point(A39_2256_9, L40_2256_9) | left_apart_point(A39_2256_9, reverse_line(L40_2256_9)))
% 293.38/42.80
% 293.38/42.80 [25950] ALPHA_NOT_OR : ~(left_apart_point(A39_2256_9, L40_2256_9) | left_apart_point(A39_2256_9, reverse_line(L40_2256_9)))
% 293.38/42.80 -> [25952] ~left_apart_point(A39_2256_9, L40_2256_9), ~left_apart_point(A39_2256_9, reverse_line(L40_2256_9))
% 293.38/42.80
% 293.38/42.80 [25952] CLOSURE : ~left_apart_point(A39_2256_9, L40_2256_9)
% 293.38/42.80
% 293.38/42.80 [25918] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [25960] ~(left_apart_point(A39_2261_9, L40_2261_9) | left_apart_point(A39_2261_9, reverse_line(L40_2261_9)))
% 293.38/42.80
% 293.38/42.80 [25960] ALPHA_NOT_OR : ~(left_apart_point(A39_2261_9, L40_2261_9) | left_apart_point(A39_2261_9, reverse_line(L40_2261_9)))
% 293.38/42.80 -> [25961] ~left_apart_point(A39_2261_9, L40_2261_9), ~left_apart_point(A39_2261_9, reverse_line(L40_2261_9))
% 293.38/42.80
% 293.38/42.80 [25961] CLOSURE : ~left_apart_point(A39_2261_9, L40_2261_9)
% 293.38/42.80
% 293.38/42.80 [25912] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1138_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1138_8)))
% 293.38/42.80 -> [25931] ~unequally_directed_lines(skolem_N7979, M38_1138_8)
% 293.38/42.80 -> [25932] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1138_8))
% 293.38/42.80
% 293.38/42.80 [25932] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1138_8))
% 293.38/42.80
% 293.38/42.80 [25931] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1138_8)
% 293.38/42.80
% 293.38/42.80 [215] 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)))
% 293.38/42.80 -> [226] (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)))
% 293.38/42.80
% 293.38/42.80 [226] 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)))
% 293.38/42.80 -> [233] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 293.38/42.80 -> [234] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [233] 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)))
% 293.38/42.80 -> [257] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 293.38/42.80 -> [258] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [258] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.38/42.80 -> [526] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.38/42.80
% 293.38/42.80 [526] 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))))
% 293.38/42.80 -> [610] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.38/42.80
% 293.38/42.80 [610] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.38/42.80 -> [611] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.80 -> [612] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.38/42.80
% 293.38/42.80 [611] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.80
% 293.38/42.80 [612] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.38/42.80 -> [3506] distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.80 -> [3507] distinct_points(skolem_A8080, skolem_A8080)
% 293.38/42.80
% 293.38/42.80 [3507] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.38/42.80
% 293.38/42.80 [3506] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.38/42.80 -> [3808] ~distinct_lines(N27_79_3, N27_79_3)
% 293.38/42.80
% 293.38/42.80 [3808] 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))))
% 293.38/42.80 -> [3852] (distinct_lines(N27_79_3, N27_79_3) => (distinct_lines(N27_79_3, N27_79_3) | distinct_lines(N27_79_3, N27_79_3)))
% 293.38/42.80
% 293.38/42.80 [3852] 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)))
% 293.38/42.80 -> [3853] ~distinct_lines(N27_79_3, N27_79_3)
% 293.38/42.80 -> [3854] (distinct_lines(N27_79_3, N27_79_3) | distinct_lines(N27_79_3, N27_79_3))
% 293.38/42.80
% 293.38/42.80 [3854] BETA_OR : (distinct_lines(N27_79_3, N27_79_3) | distinct_lines(N27_79_3, N27_79_3))
% 293.38/42.80 -> [3856] distinct_lines(N27_79_3, N27_79_3)
% 293.38/42.80 -> [3857] distinct_lines(N27_79_3, N27_79_3)
% 293.38/42.80
% 293.38/42.80 [3856] CLOSURE : distinct_lines(N27_79_3, N27_79_3)
% 293.38/42.80
% 293.38/42.80 [3857] CLOSURE : distinct_lines(N27_79_3, N27_79_3)
% 293.38/42.80
% 293.38/42.80 [3853] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.38/42.80 -> [3907] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [3907] 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))))
% 293.38/42.80 -> [3975] (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)))
% 293.38/42.80
% 293.38/42.80 [3975] 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)))
% 293.38/42.80 -> [3976] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80 -> [3977] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [3976] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [3977] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.38/42.80 -> [4749] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80 -> [4750] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [4749] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [4750] 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))))))
% 293.38/42.80 -> [4938] ((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)))))
% 293.38/42.80
% 293.38/42.80 [4938] 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)))))
% 293.38/42.80 -> [4939] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.80 -> [4940] ((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))))
% 293.38/42.80
% 293.38/42.80 [4939] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.80 -> [4950] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.80 -> [4951] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [4951] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [4950] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.80
% 293.38/42.80 [4940] 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))))
% 293.38/42.80 -> [8354] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [8355] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.80
% 293.38/42.80 [8354] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [8385] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [8385] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [8355] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [8359] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [8359] 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)))))
% 293.38/42.80 -> [8890] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.38/42.80
% 293.38/42.80 [8890] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.38/42.80 -> [8891] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.38/42.80 -> [8892] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.80
% 293.38/42.80 [8891] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.38/42.80 -> [8959] ~line(skolem_M7878)
% 293.38/42.80 -> [8960] ~line(skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [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)))))
% 293.38/42.80 -> [9171] ((unequally_directed_lines(skolem_N7979, M38_119_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_119_8))) => (left_convergent_lines(skolem_N7979, M38_119_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_119_8))))
% 293.38/42.80
% 293.38/42.80 [9171] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_119_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_119_8))) => (left_convergent_lines(skolem_N7979, M38_119_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_119_8))))
% 293.38/42.80 -> [9180] ~(unequally_directed_lines(skolem_N7979, M38_119_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_119_8)))
% 293.38/42.80 -> [9181] (left_convergent_lines(skolem_N7979, M38_119_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_119_8)))
% 293.38/42.80
% 293.38/42.80 [9180] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_119_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_119_8)))
% 293.38/42.80 -> [9230] ~unequally_directed_lines(skolem_N7979, M38_119_8)
% 293.38/42.80 -> [9231] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_119_8))
% 293.38/42.80
% 293.38/42.80 [9231] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_119_8))
% 293.38/42.80
% 293.38/42.80 [9230] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_119_8)
% 293.38/42.80
% 293.38/42.80 [9181] BETA_OR : (left_convergent_lines(skolem_N7979, M38_119_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_119_8)))
% 293.38/42.80 -> [9185] left_convergent_lines(skolem_N7979, M38_119_8)
% 293.38/42.80 -> [9186] left_convergent_lines(skolem_N7979, reverse_line(M38_119_8))
% 293.38/42.80
% 293.38/42.80 [9185] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [9316] ~(left_apart_point(A39_228_9, L40_228_9) | left_apart_point(A39_228_9, reverse_line(L40_228_9)))
% 293.38/42.80
% 293.38/42.80 [9316] ALPHA_NOT_OR : ~(left_apart_point(A39_228_9, L40_228_9) | left_apart_point(A39_228_9, reverse_line(L40_228_9)))
% 293.38/42.80 -> [9317] ~left_apart_point(A39_228_9, L40_228_9), ~left_apart_point(A39_228_9, reverse_line(L40_228_9))
% 293.38/42.80
% 293.38/42.80 [9317] CLOSURE : ~left_apart_point(A39_228_9, L40_228_9)
% 293.38/42.80
% 293.38/42.80 [9186] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [9313] ~(left_apart_point(A39_227_9, L40_227_9) | left_apart_point(A39_227_9, reverse_line(L40_227_9)))
% 293.38/42.80
% 293.38/42.80 [9313] ALPHA_NOT_OR : ~(left_apart_point(A39_227_9, L40_227_9) | left_apart_point(A39_227_9, reverse_line(L40_227_9)))
% 293.38/42.80 -> [11532] ~left_apart_point(A39_227_9, L40_227_9), ~left_apart_point(A39_227_9, reverse_line(L40_227_9))
% 293.38/42.80
% 293.38/42.80 [11532] CLOSURE : ~left_apart_point(A39_227_9, L40_227_9)
% 293.38/42.80
% 293.38/42.80 [8960] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.80 -> [9189] ((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))))
% 293.38/42.80
% 293.38/42.80 [9189] 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))))
% 293.38/42.80 -> [11390] ~(unequally_directed_lines(skolem_N7979, M38_120_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_120_8)))
% 293.38/42.80 -> [11391] (left_convergent_lines(skolem_N7979, M38_120_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_120_8)))
% 293.38/42.80
% 293.38/42.80 [11390] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_120_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_120_8)))
% 293.38/42.80 -> [11425] ~unequally_directed_lines(skolem_N7979, M38_120_8)
% 293.38/42.80 -> [11426] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_120_8))
% 293.38/42.80
% 293.38/42.80 [11426] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_120_8))
% 293.38/42.80
% 293.38/42.80 [11425] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_120_8)
% 293.38/42.80
% 293.38/42.80 [11391] BETA_OR : (left_convergent_lines(skolem_N7979, M38_120_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_120_8)))
% 293.38/42.80 -> [11393] left_convergent_lines(skolem_N7979, M38_120_8)
% 293.38/42.80 -> [11394] left_convergent_lines(skolem_N7979, reverse_line(M38_120_8))
% 293.38/42.80
% 293.38/42.80 [11394] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [11554] ~(left_apart_point(A39_427_9, L40_427_9) | left_apart_point(A39_427_9, reverse_line(L40_427_9)))
% 293.38/42.80
% 293.38/42.80 [11554] ALPHA_NOT_OR : ~(left_apart_point(A39_427_9, L40_427_9) | left_apart_point(A39_427_9, reverse_line(L40_427_9)))
% 293.38/42.80 -> [11555] ~left_apart_point(A39_427_9, L40_427_9), ~left_apart_point(A39_427_9, reverse_line(L40_427_9))
% 293.38/42.80
% 293.38/42.80 [11555] CLOSURE : ~left_apart_point(A39_427_9, L40_427_9)
% 293.38/42.80
% 293.38/42.80 [11393] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [11583] ~(left_apart_point(A39_428_9, L40_428_9) | left_apart_point(A39_428_9, reverse_line(L40_428_9)))
% 293.38/42.80
% 293.38/42.80 [11583] ALPHA_NOT_OR : ~(left_apart_point(A39_428_9, L40_428_9) | left_apart_point(A39_428_9, reverse_line(L40_428_9)))
% 293.38/42.80 -> [11584] ~left_apart_point(A39_428_9, L40_428_9), ~left_apart_point(A39_428_9, reverse_line(L40_428_9))
% 293.38/42.80
% 293.38/42.80 [11584] CLOSURE : ~left_apart_point(A39_428_9, L40_428_9)
% 293.38/42.80
% 293.38/42.80 [8892] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [8895] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80 -> [8896] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [8895] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [8896] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.80 -> [9107] ((unequally_directed_lines(skolem_N7979, M38_114_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_114_8))) => (left_convergent_lines(skolem_N7979, M38_114_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_114_8))))
% 293.38/42.80
% 293.38/42.80 [9107] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_114_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_114_8))) => (left_convergent_lines(skolem_N7979, M38_114_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_114_8))))
% 293.38/42.80 -> [9109] ~(unequally_directed_lines(skolem_N7979, M38_114_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_114_8)))
% 293.38/42.80 -> [9110] (left_convergent_lines(skolem_N7979, M38_114_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_114_8)))
% 293.38/42.80
% 293.38/42.80 [9110] BETA_OR : (left_convergent_lines(skolem_N7979, M38_114_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_114_8)))
% 293.38/42.80 -> [9111] left_convergent_lines(skolem_N7979, M38_114_8)
% 293.38/42.80 -> [9112] left_convergent_lines(skolem_N7979, reverse_line(M38_114_8))
% 293.38/42.80
% 293.38/42.80 [9111] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [10009] ~(left_apart_point(A39_287_9, L40_287_9) | left_apart_point(A39_287_9, reverse_line(L40_287_9)))
% 293.38/42.80
% 293.38/42.80 [10009] ALPHA_NOT_OR : ~(left_apart_point(A39_287_9, L40_287_9) | left_apart_point(A39_287_9, reverse_line(L40_287_9)))
% 293.38/42.80 -> [10012] ~left_apart_point(A39_287_9, L40_287_9), ~left_apart_point(A39_287_9, reverse_line(L40_287_9))
% 293.38/42.80
% 293.38/42.80 [10012] CLOSURE : ~left_apart_point(A39_287_9, L40_287_9)
% 293.38/42.80
% 293.38/42.80 [9112] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [9267] ~(left_apart_point(A39_222_9, L40_222_9) | left_apart_point(A39_222_9, reverse_line(L40_222_9)))
% 293.38/42.80
% 293.38/42.80 [9267] ALPHA_NOT_OR : ~(left_apart_point(A39_222_9, L40_222_9) | left_apart_point(A39_222_9, reverse_line(L40_222_9)))
% 293.38/42.80 -> [9268] ~left_apart_point(A39_222_9, L40_222_9), ~left_apart_point(A39_222_9, reverse_line(L40_222_9))
% 293.38/42.80
% 293.38/42.80 [9268] CLOSURE : ~left_apart_point(A39_222_9, L40_222_9)
% 293.38/42.80
% 293.38/42.80 [9109] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_114_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_114_8)))
% 293.38/42.80 -> [9192] ~unequally_directed_lines(skolem_N7979, M38_114_8)
% 293.38/42.80 -> [9193] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_114_8))
% 293.38/42.80
% 293.38/42.80 [9192] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_114_8)
% 293.38/42.80
% 293.38/42.80 [9193] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_114_8))
% 293.38/42.80
% 293.38/42.80 [257] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.38/42.80 -> [293] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.38/42.80
% 293.38/42.80 [293] 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))))
% 293.38/42.80 -> [337] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.38/42.80
% 293.38/42.80 [337] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.38/42.80 -> [339] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.80 -> [340] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.38/42.80
% 293.38/42.80 [339] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.38/42.80
% 293.38/42.80 [340] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.38/42.80 -> [3294] distinct_points(skolem_B8181, skolem_B8181)
% 293.38/42.80 -> [3295] distinct_points(skolem_A8080, skolem_B8181)
% 293.38/42.80
% 293.38/42.80 [3294] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.38/42.80
% 293.38/42.80 [3295] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.38/42.80 -> [4308] ~distinct_lines(M26_111_3, M26_111_3)
% 293.38/42.80
% 293.38/42.80 [4308] 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))))
% 293.38/42.80 -> [4502] (distinct_lines(M26_111_3, M26_111_3) => (distinct_lines(M26_111_3, M26_111_3) | distinct_lines(M26_111_3, M26_111_3)))
% 293.38/42.80
% 293.38/42.80 [4502] BETA_IMPLY : (distinct_lines(M26_111_3, M26_111_3) => (distinct_lines(M26_111_3, M26_111_3) | distinct_lines(M26_111_3, M26_111_3)))
% 293.38/42.80 -> [4504] ~distinct_lines(M26_111_3, M26_111_3)
% 293.38/42.80 -> [4505] (distinct_lines(M26_111_3, M26_111_3) | distinct_lines(M26_111_3, M26_111_3))
% 293.38/42.80
% 293.38/42.80 [4505] BETA_OR : (distinct_lines(M26_111_3, M26_111_3) | distinct_lines(M26_111_3, M26_111_3))
% 293.38/42.80 -> [4508] distinct_lines(M26_111_3, M26_111_3)
% 293.38/42.80 -> [4509] distinct_lines(M26_111_3, M26_111_3)
% 293.38/42.80
% 293.38/42.80 [4508] CLOSURE : distinct_lines(M26_111_3, M26_111_3)
% 293.38/42.80
% 293.38/42.80 [4509] CLOSURE : distinct_lines(M26_111_3, M26_111_3)
% 293.38/42.80
% 293.38/42.80 [4504] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.38/42.80 -> [4723] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [4723] 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))))
% 293.38/42.80 -> [5083] (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)))
% 293.38/42.80
% 293.38/42.80 [5083] 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)))
% 293.38/42.80 -> [5085] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80 -> [5086] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [5085] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [5086] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.38/42.80 -> [7043] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80 -> [7044] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [7043] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [7044] 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))))))
% 293.38/42.80 -> [9272] ((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)))))
% 293.38/42.80
% 293.38/42.80 [9272] 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)))))
% 293.38/42.80 -> [9275] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.80 -> [9276] ((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))))
% 293.38/42.80
% 293.38/42.80 [9275] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.38/42.80 -> [10758] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.80 -> [10759] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [10759] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.38/42.80
% 293.38/42.80 [10758] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.38/42.80
% 293.38/42.80 [9276] 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))))
% 293.38/42.80 -> [25243] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [25244] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.80
% 293.38/42.80 [25243] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [25248] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [25248] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [25244] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [25245] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [25245] 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)))))
% 293.38/42.80 -> [25293] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.38/42.80
% 293.38/42.80 [25293] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.38/42.80 -> [25295] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.38/42.80 -> [25296] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.80
% 293.38/42.80 [25296] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.38/42.80 -> [25299] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80 -> [25300] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.38/42.80
% 293.38/42.80 [25299] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [25300] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.80 -> [25397] ((unequally_directed_lines(skolem_N7979, M38_1104_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1104_8))) => (left_convergent_lines(skolem_N7979, M38_1104_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1104_8))))
% 293.38/42.80
% 293.38/42.80 [25397] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1104_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1104_8))) => (left_convergent_lines(skolem_N7979, M38_1104_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1104_8))))
% 293.38/42.80 -> [25416] ~(unequally_directed_lines(skolem_N7979, M38_1104_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1104_8)))
% 293.38/42.80 -> [25417] (left_convergent_lines(skolem_N7979, M38_1104_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1104_8)))
% 293.38/42.80
% 293.38/42.80 [25416] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1104_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1104_8)))
% 293.38/42.80 -> [25429] ~unequally_directed_lines(skolem_N7979, M38_1104_8)
% 293.38/42.80 -> [25430] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1104_8))
% 293.38/42.80
% 293.38/42.80 [25430] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1104_8))
% 293.38/42.80
% 293.38/42.80 [25429] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1104_8)
% 293.38/42.80
% 293.38/42.80 [25417] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1104_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1104_8)))
% 293.38/42.80 -> [25419] left_convergent_lines(skolem_N7979, M38_1104_8)
% 293.38/42.80 -> [25420] left_convergent_lines(skolem_N7979, reverse_line(M38_1104_8))
% 293.38/42.80
% 293.38/42.80 [25419] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [25457] ~(left_apart_point(A39_2172_9, L40_2172_9) | left_apart_point(A39_2172_9, reverse_line(L40_2172_9)))
% 293.38/42.80
% 293.38/42.80 [25457] ALPHA_NOT_OR : ~(left_apart_point(A39_2172_9, L40_2172_9) | left_apart_point(A39_2172_9, reverse_line(L40_2172_9)))
% 293.38/42.80 -> [25462] ~left_apart_point(A39_2172_9, L40_2172_9), ~left_apart_point(A39_2172_9, reverse_line(L40_2172_9))
% 293.38/42.80
% 293.38/42.80 [25462] CLOSURE : ~left_apart_point(A39_2172_9, L40_2172_9)
% 293.38/42.80
% 293.38/42.80 [25420] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.38/42.80 -> [25451] ~(left_apart_point(A39_2171_9, L40_2171_9) | left_apart_point(A39_2171_9, reverse_line(L40_2171_9)))
% 293.38/42.80
% 293.38/42.80 [25451] ALPHA_NOT_OR : ~(left_apart_point(A39_2171_9, L40_2171_9) | left_apart_point(A39_2171_9, reverse_line(L40_2171_9)))
% 293.38/42.80 -> [25453] ~left_apart_point(A39_2171_9, L40_2171_9), ~left_apart_point(A39_2171_9, reverse_line(L40_2171_9))
% 293.38/42.80
% 293.38/42.80 [25453] CLOSURE : ~left_apart_point(A39_2171_9, L40_2171_9)
% 293.38/42.80
% 293.38/42.80 [25295] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.38/42.80 -> [25311] ~line(skolem_M7878)
% 293.38/42.80 -> [25312] ~line(skolem_M7878)
% 293.38/42.80
% 293.38/42.80 [25312] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.38/42.80 -> [25347] ((unequally_directed_lines(skolem_N7979, M38_1097_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1097_8))) => (left_convergent_lines(skolem_N7979, M38_1097_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1097_8))))
% 293.38/42.80
% 293.38/42.80 [25347] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1097_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1097_8))) => (left_convergent_lines(skolem_N7979, M38_1097_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1097_8))))
% 293.38/42.80 -> [25348] ~(unequally_directed_lines(skolem_N7979, M38_1097_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1097_8)))
% 293.38/42.80 -> [25349] (left_convergent_lines(skolem_N7979, M38_1097_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1097_8)))
% 293.38/42.80
% 293.38/42.80 [25348] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1097_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1097_8)))
% 293.38/42.80 -> [25387] ~unequally_directed_lines(skolem_N7979, M38_1097_8)
% 293.38/42.80 -> [25388] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1097_8))
% 293.38/42.80
% 293.38/42.80 [25388] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1097_8))
% 293.41/42.80
% 293.41/42.80 [25387] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1097_8)
% 293.41/42.80
% 293.41/42.80 [25349] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1097_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1097_8)))
% 293.41/42.80 -> [25353] left_convergent_lines(skolem_N7979, M38_1097_8)
% 293.41/42.80 -> [25354] left_convergent_lines(skolem_N7979, reverse_line(M38_1097_8))
% 293.41/42.80
% 293.41/42.80 [25353] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.80 -> [25828] ~(left_apart_point(A39_2235_9, L40_2235_9) | left_apart_point(A39_2235_9, reverse_line(L40_2235_9)))
% 293.41/42.80
% 293.41/42.80 [25828] ALPHA_NOT_OR : ~(left_apart_point(A39_2235_9, L40_2235_9) | left_apart_point(A39_2235_9, reverse_line(L40_2235_9)))
% 293.41/42.80 -> [25830] ~left_apart_point(A39_2235_9, L40_2235_9), ~left_apart_point(A39_2235_9, reverse_line(L40_2235_9))
% 293.41/42.80
% 293.41/42.80 [25830] CLOSURE : ~left_apart_point(A39_2235_9, L40_2235_9)
% 293.41/42.80
% 293.41/42.80 [25354] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.80 -> [25860] ~(left_apart_point(A39_2242_9, L40_2242_9) | left_apart_point(A39_2242_9, reverse_line(L40_2242_9)))
% 293.41/42.80
% 293.41/42.80 [25860] ALPHA_NOT_OR : ~(left_apart_point(A39_2242_9, L40_2242_9) | left_apart_point(A39_2242_9, reverse_line(L40_2242_9)))
% 293.41/42.80 -> [25861] ~left_apart_point(A39_2242_9, L40_2242_9), ~left_apart_point(A39_2242_9, reverse_line(L40_2242_9))
% 293.41/42.80
% 293.41/42.80 [25861] CLOSURE : ~left_apart_point(A39_2242_9, L40_2242_9)
% 293.41/42.80
% 293.41/42.80 [25311] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.80 -> [25376] ((unequally_directed_lines(skolem_N7979, M38_1101_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1101_8))) => (left_convergent_lines(skolem_N7979, M38_1101_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1101_8))))
% 293.41/42.80
% 293.41/42.80 [25376] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1101_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1101_8))) => (left_convergent_lines(skolem_N7979, M38_1101_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1101_8))))
% 293.41/42.80 -> [25377] ~(unequally_directed_lines(skolem_N7979, M38_1101_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1101_8)))
% 293.41/42.80 -> [25378] (left_convergent_lines(skolem_N7979, M38_1101_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1101_8)))
% 293.41/42.80
% 293.41/42.80 [25378] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1101_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1101_8)))
% 293.41/42.80 -> [25381] left_convergent_lines(skolem_N7979, M38_1101_8)
% 293.41/42.80 -> [25382] left_convergent_lines(skolem_N7979, reverse_line(M38_1101_8))
% 293.41/42.80
% 293.41/42.80 [25381] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.80 -> [25648] ~(left_apart_point(A39_2209_9, L40_2209_9) | left_apart_point(A39_2209_9, reverse_line(L40_2209_9)))
% 293.41/42.80
% 293.41/42.80 [25648] ALPHA_NOT_OR : ~(left_apart_point(A39_2209_9, L40_2209_9) | left_apart_point(A39_2209_9, reverse_line(L40_2209_9)))
% 293.41/42.80 -> [25651] ~left_apart_point(A39_2209_9, L40_2209_9), ~left_apart_point(A39_2209_9, reverse_line(L40_2209_9))
% 293.41/42.80
% 293.41/42.80 [25651] CLOSURE : ~left_apart_point(A39_2209_9, L40_2209_9)
% 293.41/42.80
% 293.41/42.80 [25382] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.80 -> [25659] ~(left_apart_point(A39_2213_9, L40_2213_9) | left_apart_point(A39_2213_9, reverse_line(L40_2213_9)))
% 293.41/42.80
% 293.41/42.80 [25659] ALPHA_NOT_OR : ~(left_apart_point(A39_2213_9, L40_2213_9) | left_apart_point(A39_2213_9, reverse_line(L40_2213_9)))
% 293.41/42.80 -> [25660] ~left_apart_point(A39_2213_9, L40_2213_9), ~left_apart_point(A39_2213_9, reverse_line(L40_2213_9))
% 293.41/42.80
% 293.41/42.80 [25660] CLOSURE : ~left_apart_point(A39_2213_9, L40_2213_9)
% 293.41/42.80
% 293.41/42.80 [25377] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1101_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1101_8)))
% 293.41/42.80 -> [25948] ~unequally_directed_lines(skolem_N7979, M38_1101_8)
% 293.41/42.80 -> [25949] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1101_8))
% 293.41/42.80
% 293.41/42.80 [25949] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1101_8))
% 293.41/42.80
% 293.41/42.80 [25948] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1101_8)
% 293.41/42.80
% 293.41/42.80 [234] 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)))
% 293.41/42.80 -> [377] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 293.41/42.80 -> [378] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 293.41/42.80
% 293.41/42.80 [377] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.41/42.80 -> [1080] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.80
% 293.41/42.80 [1080] 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))))
% 293.41/42.80 -> [1662] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.41/42.80
% 293.41/42.80 [1662] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.41/42.80 -> [1663] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.41/42.80 -> [1664] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.41/42.80
% 293.41/42.80 [1663] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.41/42.80
% 293.41/42.80 [1664] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.41/42.80 -> [4865] distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.80 -> [4866] distinct_points(skolem_A8080, skolem_B8181)
% 293.41/42.80
% 293.41/42.80 [4865] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.80
% 293.41/42.80 [4866] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.41/42.80 -> [5530] ~distinct_lines(N27_158_3, N27_158_3)
% 293.41/42.80
% 293.41/42.80 [5530] 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))))
% 293.41/42.80 -> [5580] (distinct_lines(N27_158_3, N27_158_3) => (distinct_lines(N27_158_3, N27_158_3) | distinct_lines(N27_158_3, N27_158_3)))
% 293.41/42.80
% 293.41/42.80 [5580] BETA_IMPLY : (distinct_lines(N27_158_3, N27_158_3) => (distinct_lines(N27_158_3, N27_158_3) | distinct_lines(N27_158_3, N27_158_3)))
% 293.41/42.80 -> [5583] ~distinct_lines(N27_158_3, N27_158_3)
% 293.41/42.80 -> [5584] (distinct_lines(N27_158_3, N27_158_3) | distinct_lines(N27_158_3, N27_158_3))
% 293.41/42.80
% 293.41/42.80 [5584] BETA_OR : (distinct_lines(N27_158_3, N27_158_3) | distinct_lines(N27_158_3, N27_158_3))
% 293.41/42.80 -> [5591] distinct_lines(N27_158_3, N27_158_3)
% 293.41/42.80 -> [5592] distinct_lines(N27_158_3, N27_158_3)
% 293.41/42.80
% 293.41/42.80 [5591] CLOSURE : distinct_lines(N27_158_3, N27_158_3)
% 293.41/42.80
% 293.41/42.80 [5592] CLOSURE : distinct_lines(N27_158_3, N27_158_3)
% 293.41/42.80
% 293.41/42.80 [5583] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.41/42.80 -> [5651] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.80
% 293.41/42.80 [5651] 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))))
% 293.41/42.80 -> [5814] (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)))
% 293.41/42.80
% 293.41/42.80 [5814] 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)))
% 293.41/42.80 -> [5817] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.80 -> [5818] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.41/42.80
% 293.41/42.80 [5817] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.80
% 293.41/42.80 [5818] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.41/42.80 -> [9969] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.80 -> [9970] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.41/42.80
% 293.41/42.80 [9969] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.80
% 293.41/42.80 [9970] 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))))))
% 293.41/42.80 -> [11367] ((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)))))
% 293.41/42.80
% 293.41/42.80 [11367] 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)))))
% 293.41/42.80 -> [11368] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.80 -> [11369] ((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))))
% 293.41/42.80
% 293.41/42.80 [11368] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.80 -> [11378] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.80 -> [11379] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.80
% 293.41/42.80 [11378] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.80
% 293.41/42.80 [11379] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.80
% 293.41/42.80 [11369] 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))))
% 293.41/42.80 -> [14615] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.41/42.80 -> [14616] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.41/42.80
% 293.41/42.80 [14615] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.41/42.80 -> [14671] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.41/42.80
% 293.41/42.80 [14671] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.80
% 293.41/42.80 [14616] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.41/42.80 -> [14617] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.41/42.80
% 293.41/42.80 [14617] 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)))))
% 293.41/42.80 -> [15021] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.41/42.80
% 293.41/42.80 [15021] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.41/42.80 -> [15024] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.41/42.80 -> [15025] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.41/42.80
% 293.41/42.80 [15025] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.41/42.80 -> [15026] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.80 -> [15027] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.41/42.80
% 293.41/42.80 [15026] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.80
% 293.41/42.80 [15027] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.80 -> [16378] ((unequally_directed_lines(skolem_N7979, M38_508_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_508_8))) => (left_convergent_lines(skolem_N7979, M38_508_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_508_8))))
% 293.41/42.80
% 293.41/42.80 [16378] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_508_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_508_8))) => (left_convergent_lines(skolem_N7979, M38_508_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_508_8))))
% 293.41/42.80 -> [16381] ~(unequally_directed_lines(skolem_N7979, M38_508_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_508_8)))
% 293.41/42.80 -> [16382] (left_convergent_lines(skolem_N7979, M38_508_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_508_8)))
% 293.41/42.80
% 293.41/42.80 [16382] BETA_OR : (left_convergent_lines(skolem_N7979, M38_508_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_508_8)))
% 293.41/42.80 -> [16384] left_convergent_lines(skolem_N7979, M38_508_8)
% 293.41/42.80 -> [16385] left_convergent_lines(skolem_N7979, reverse_line(M38_508_8))
% 293.41/42.80
% 293.41/42.80 [16384] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.80 -> [16582] ~(left_apart_point(A39_987_9, L40_987_9) | left_apart_point(A39_987_9, reverse_line(L40_987_9)))
% 293.41/42.80
% 293.41/42.80 [16582] ALPHA_NOT_OR : ~(left_apart_point(A39_987_9, L40_987_9) | left_apart_point(A39_987_9, reverse_line(L40_987_9)))
% 293.41/42.80 -> [16583] ~left_apart_point(A39_987_9, L40_987_9), ~left_apart_point(A39_987_9, reverse_line(L40_987_9))
% 293.41/42.80
% 293.41/42.80 [16583] CLOSURE : ~left_apart_point(A39_987_9, L40_987_9)
% 293.41/42.80
% 293.41/42.80 [16385] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.80 -> [16586] ~(left_apart_point(A39_988_9, L40_988_9) | left_apart_point(A39_988_9, reverse_line(L40_988_9)))
% 293.41/42.80
% 293.41/42.80 [16586] ALPHA_NOT_OR : ~(left_apart_point(A39_988_9, L40_988_9) | left_apart_point(A39_988_9, reverse_line(L40_988_9)))
% 293.41/42.80 -> [16589] ~left_apart_point(A39_988_9, L40_988_9), ~left_apart_point(A39_988_9, reverse_line(L40_988_9))
% 293.41/42.80
% 293.41/42.80 [16589] CLOSURE : ~left_apart_point(A39_988_9, L40_988_9)
% 293.41/42.80
% 293.41/42.80 [16381] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_508_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_508_8)))
% 293.41/42.80 -> [16400] ~unequally_directed_lines(skolem_N7979, M38_508_8)
% 293.41/42.80 -> [16401] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_508_8))
% 293.41/42.80
% 293.41/42.80 [16401] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_508_8))
% 293.41/42.80
% 293.41/42.80 [16400] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_508_8)
% 293.41/42.80
% 293.41/42.80 [15024] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.41/42.80 -> [15036] ~line(skolem_M7878)
% 293.41/42.80 -> [15037] ~line(skolem_M7878)
% 293.41/42.80
% 293.41/42.80 [15037] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.80 -> [15147] ((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))))
% 293.41/42.80
% 293.41/42.80 [15147] 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))))
% 293.41/42.80 -> [15148] ~(unequally_directed_lines(skolem_N7979, M38_440_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_440_8)))
% 293.41/42.80 -> [15149] (left_convergent_lines(skolem_N7979, M38_440_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_440_8)))
% 293.41/42.80
% 293.41/42.80 [15148] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_440_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_440_8)))
% 293.41/42.80 -> [15165] ~unequally_directed_lines(skolem_N7979, M38_440_8)
% 293.41/42.80 -> [15166] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_440_8))
% 293.41/42.80
% 293.41/42.80 [15166] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_440_8))
% 293.41/42.80
% 293.41/42.80 [15165] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_440_8)
% 293.41/42.80
% 293.41/42.80 [15149] BETA_OR : (left_convergent_lines(skolem_N7979, M38_440_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_440_8)))
% 293.41/42.80 -> [15154] left_convergent_lines(skolem_N7979, M38_440_8)
% 293.41/42.80 -> [15155] left_convergent_lines(skolem_N7979, reverse_line(M38_440_8))
% 293.41/42.80
% 293.41/42.80 [15155] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.80 -> [15280] ~(left_apart_point(A39_857_9, L40_857_9) | left_apart_point(A39_857_9, reverse_line(L40_857_9)))
% 293.41/42.80
% 293.41/42.80 [15280] ALPHA_NOT_OR : ~(left_apart_point(A39_857_9, L40_857_9) | left_apart_point(A39_857_9, reverse_line(L40_857_9)))
% 293.41/42.80 -> [15281] ~left_apart_point(A39_857_9, L40_857_9), ~left_apart_point(A39_857_9, reverse_line(L40_857_9))
% 293.41/42.80
% 293.41/42.80 [15281] CLOSURE : ~left_apart_point(A39_857_9, L40_857_9)
% 293.41/42.80
% 293.41/42.80 [15154] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.80 -> [15306] ~(left_apart_point(A39_863_9, L40_863_9) | left_apart_point(A39_863_9, reverse_line(L40_863_9)))
% 293.41/42.80
% 293.41/42.80 [15306] ALPHA_NOT_OR : ~(left_apart_point(A39_863_9, L40_863_9) | left_apart_point(A39_863_9, reverse_line(L40_863_9)))
% 293.41/42.80 -> [15310] ~left_apart_point(A39_863_9, L40_863_9), ~left_apart_point(A39_863_9, reverse_line(L40_863_9))
% 293.41/42.80
% 293.41/42.80 [15310] CLOSURE : ~left_apart_point(A39_863_9, L40_863_9)
% 293.41/42.80
% 293.41/42.80 [15036] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.80 -> [17070] ((unequally_directed_lines(skolem_N7979, M38_560_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_560_8))) => (left_convergent_lines(skolem_N7979, M38_560_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_560_8))))
% 293.41/42.80
% 293.41/42.80 [17070] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_560_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_560_8))) => (left_convergent_lines(skolem_N7979, M38_560_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_560_8))))
% 293.41/42.80 -> [17073] ~(unequally_directed_lines(skolem_N7979, M38_560_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_560_8)))
% 293.41/42.80 -> [17074] (left_convergent_lines(skolem_N7979, M38_560_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_560_8)))
% 293.41/42.80
% 293.41/42.80 [17074] BETA_OR : (left_convergent_lines(skolem_N7979, M38_560_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_560_8)))
% 293.41/42.80 -> [17077] left_convergent_lines(skolem_N7979, M38_560_8)
% 293.41/42.81 -> [17078] left_convergent_lines(skolem_N7979, reverse_line(M38_560_8))
% 293.41/42.81
% 293.41/42.81 [17078] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [17641] ~(left_apart_point(A39_1128_9, L40_1128_9) | left_apart_point(A39_1128_9, reverse_line(L40_1128_9)))
% 293.41/42.81
% 293.41/42.81 [17641] ALPHA_NOT_OR : ~(left_apart_point(A39_1128_9, L40_1128_9) | left_apart_point(A39_1128_9, reverse_line(L40_1128_9)))
% 293.41/42.81 -> [17642] ~left_apart_point(A39_1128_9, L40_1128_9), ~left_apart_point(A39_1128_9, reverse_line(L40_1128_9))
% 293.41/42.81
% 293.41/42.81 [17642] CLOSURE : ~left_apart_point(A39_1128_9, L40_1128_9)
% 293.41/42.81
% 293.41/42.81 [17077] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [17736] ~(left_apart_point(A39_1142_9, L40_1142_9) | left_apart_point(A39_1142_9, reverse_line(L40_1142_9)))
% 293.41/42.81
% 293.41/42.81 [17736] ALPHA_NOT_OR : ~(left_apart_point(A39_1142_9, L40_1142_9) | left_apart_point(A39_1142_9, reverse_line(L40_1142_9)))
% 293.41/42.81 -> [17738] ~left_apart_point(A39_1142_9, L40_1142_9), ~left_apart_point(A39_1142_9, reverse_line(L40_1142_9))
% 293.41/42.81
% 293.41/42.81 [17738] CLOSURE : ~left_apart_point(A39_1142_9, L40_1142_9)
% 293.41/42.81
% 293.41/42.81 [17073] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_560_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_560_8)))
% 293.41/42.81 -> [17205] ~unequally_directed_lines(skolem_N7979, M38_560_8)
% 293.41/42.81 -> [17206] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_560_8))
% 293.41/42.81
% 293.41/42.81 [17206] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_560_8))
% 293.41/42.81
% 293.41/42.81 [17205] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_560_8)
% 293.41/42.81
% 293.41/42.81 [378] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.41/42.81 -> [430] ~distinct_points(C23_3_1, C23_3_1)
% 293.41/42.81
% 293.41/42.81 [430] 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))))
% 293.41/42.81 -> [478] (distinct_points(C23_3_1, C23_3_1) => (distinct_points(C23_3_1, C23_3_1) | distinct_points(C23_3_1, C23_3_1)))
% 293.41/42.81
% 293.41/42.81 [478] 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)))
% 293.41/42.81 -> [686] ~distinct_points(C23_3_1, C23_3_1)
% 293.41/42.81 -> [687] (distinct_points(C23_3_1, C23_3_1) | distinct_points(C23_3_1, C23_3_1))
% 293.41/42.81
% 293.41/42.81 [687] BETA_OR : (distinct_points(C23_3_1, C23_3_1) | distinct_points(C23_3_1, C23_3_1))
% 293.41/42.81 -> [691] distinct_points(C23_3_1, C23_3_1)
% 293.41/42.81 -> [692] distinct_points(C23_3_1, C23_3_1)
% 293.41/42.81
% 293.41/42.81 [691] CLOSURE : distinct_points(C23_3_1, C23_3_1)
% 293.41/42.81
% 293.41/42.81 [692] CLOSURE : distinct_points(C23_3_1, C23_3_1)
% 293.41/42.81
% 293.41/42.81 [686] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.41/42.81 -> [4374] ~distinct_lines(N27_113_3, N27_113_3)
% 293.41/42.81
% 293.41/42.81 [4374] 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))))
% 293.41/42.81 -> [4547] (distinct_lines(N27_113_3, N27_113_3) => (distinct_lines(N27_113_3, N27_113_3) | distinct_lines(N27_113_3, N27_113_3)))
% 293.41/42.81
% 293.41/42.81 [4547] 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)))
% 293.41/42.81 -> [4550] ~distinct_lines(N27_113_3, N27_113_3)
% 293.41/42.81 -> [4551] (distinct_lines(N27_113_3, N27_113_3) | distinct_lines(N27_113_3, N27_113_3))
% 293.41/42.81
% 293.41/42.81 [4551] BETA_OR : (distinct_lines(N27_113_3, N27_113_3) | distinct_lines(N27_113_3, N27_113_3))
% 293.41/42.81 -> [4554] distinct_lines(N27_113_3, N27_113_3)
% 293.41/42.81 -> [4555] distinct_lines(N27_113_3, N27_113_3)
% 293.41/42.81
% 293.41/42.81 [4554] CLOSURE : distinct_lines(N27_113_3, N27_113_3)
% 293.41/42.81
% 293.41/42.81 [4555] CLOSURE : distinct_lines(N27_113_3, N27_113_3)
% 293.41/42.81
% 293.41/42.81 [4550] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.41/42.81 -> [4796] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [4796] 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))))
% 293.41/42.81 -> [5883] (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)))
% 293.41/42.81
% 293.41/42.81 [5883] 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)))
% 293.41/42.81 -> [5886] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.81 -> [5887] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [5886] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.81
% 293.41/42.81 [5887] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.41/42.81 -> [10639] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.81 -> [10640] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [10639] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [10640] 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))))))
% 293.41/42.81 -> [16062] ((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)))))
% 293.41/42.81
% 293.41/42.81 [16062] 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)))))
% 293.41/42.81 -> [16066] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.81 -> [16067] ((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))))
% 293.41/42.81
% 293.41/42.81 [16066] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.81 -> [16105] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.81 -> [16106] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.81
% 293.41/42.81 [16106] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.81
% 293.41/42.81 [16105] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.81
% 293.41/42.81 [16067] 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))))
% 293.41/42.81 -> [25584] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [25585] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.41/42.81
% 293.41/42.81 [25584] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [25590] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [25590] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [25585] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [25589] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [25589] 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)))))
% 293.41/42.81 -> [25598] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.41/42.81
% 293.41/42.81 [25598] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.41/42.81 -> [25600] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.41/42.81 -> [25601] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.41/42.81
% 293.41/42.81 [25601] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [25602] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.81 -> [25603] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [25602] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [25603] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [25631] ((unequally_directed_lines(skolem_N7979, M38_1117_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1117_8))) => (left_convergent_lines(skolem_N7979, M38_1117_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1117_8))))
% 293.41/42.81
% 293.41/42.81 [25631] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1117_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1117_8))) => (left_convergent_lines(skolem_N7979, M38_1117_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1117_8))))
% 293.41/42.81 -> [25633] ~(unequally_directed_lines(skolem_N7979, M38_1117_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1117_8)))
% 293.41/42.81 -> [25634] (left_convergent_lines(skolem_N7979, M38_1117_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1117_8)))
% 293.41/42.81
% 293.41/42.81 [25634] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1117_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1117_8)))
% 293.41/42.81 -> [25637] left_convergent_lines(skolem_N7979, M38_1117_8)
% 293.41/42.81 -> [25638] left_convergent_lines(skolem_N7979, reverse_line(M38_1117_8))
% 293.41/42.81
% 293.41/42.81 [25637] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [25924] ~(left_apart_point(A39_2251_9, L40_2251_9) | left_apart_point(A39_2251_9, reverse_line(L40_2251_9)))
% 293.41/42.81
% 293.41/42.81 [25924] ALPHA_NOT_OR : ~(left_apart_point(A39_2251_9, L40_2251_9) | left_apart_point(A39_2251_9, reverse_line(L40_2251_9)))
% 293.41/42.81 -> [25927] ~left_apart_point(A39_2251_9, L40_2251_9), ~left_apart_point(A39_2251_9, reverse_line(L40_2251_9))
% 293.41/42.81
% 293.41/42.81 [25927] CLOSURE : ~left_apart_point(A39_2251_9, L40_2251_9)
% 293.41/42.81
% 293.41/42.81 [25638] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [25930] ~(left_apart_point(A39_2252_9, L40_2252_9) | left_apart_point(A39_2252_9, reverse_line(L40_2252_9)))
% 293.41/42.81
% 293.41/42.81 [25930] ALPHA_NOT_OR : ~(left_apart_point(A39_2252_9, L40_2252_9) | left_apart_point(A39_2252_9, reverse_line(L40_2252_9)))
% 293.41/42.81 -> [25935] ~left_apart_point(A39_2252_9, L40_2252_9), ~left_apart_point(A39_2252_9, reverse_line(L40_2252_9))
% 293.41/42.81
% 293.41/42.81 [25935] CLOSURE : ~left_apart_point(A39_2252_9, L40_2252_9)
% 293.41/42.81
% 293.41/42.81 [25633] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1117_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1117_8)))
% 293.41/42.81 -> [25944] ~unequally_directed_lines(skolem_N7979, M38_1117_8)
% 293.41/42.81 -> [25945] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1117_8))
% 293.41/42.81
% 293.41/42.81 [25945] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1117_8))
% 293.41/42.81
% 293.41/42.81 [25944] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1117_8)
% 293.41/42.81
% 293.41/42.81 [25600] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.41/42.81 -> [25609] ~line(skolem_M7878)
% 293.41/42.81 -> [25610] ~line(skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [25609] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [25923] ((unequally_directed_lines(skolem_N7979, M38_1140_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1140_8))) => (left_convergent_lines(skolem_N7979, M38_1140_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1140_8))))
% 293.41/42.81
% 293.41/42.81 [25923] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1140_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1140_8))) => (left_convergent_lines(skolem_N7979, M38_1140_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1140_8))))
% 293.41/42.81 -> [25925] ~(unequally_directed_lines(skolem_N7979, M38_1140_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1140_8)))
% 293.41/42.81 -> [25926] (left_convergent_lines(skolem_N7979, M38_1140_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1140_8)))
% 293.41/42.81
% 293.41/42.81 [25925] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1140_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1140_8)))
% 293.41/42.81 -> [25940] ~unequally_directed_lines(skolem_N7979, M38_1140_8)
% 293.41/42.81 -> [25941] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1140_8))
% 293.41/42.81
% 293.41/42.81 [25940] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1140_8)
% 293.41/42.81
% 293.41/42.81 [25941] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1140_8))
% 293.41/42.81
% 293.41/42.81 [25926] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1140_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1140_8)))
% 293.41/42.81 -> [25933] left_convergent_lines(skolem_N7979, M38_1140_8)
% 293.41/42.81 -> [25934] left_convergent_lines(skolem_N7979, reverse_line(M38_1140_8))
% 293.41/42.81
% 293.41/42.81 [25934] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [26058] ~(left_apart_point(A39_2279_9, L40_2279_9) | left_apart_point(A39_2279_9, reverse_line(L40_2279_9)))
% 293.41/42.81
% 293.41/42.81 [26058] ALPHA_NOT_OR : ~(left_apart_point(A39_2279_9, L40_2279_9) | left_apart_point(A39_2279_9, reverse_line(L40_2279_9)))
% 293.41/42.81 -> [26061] ~left_apart_point(A39_2279_9, L40_2279_9), ~left_apart_point(A39_2279_9, reverse_line(L40_2279_9))
% 293.41/42.81
% 293.41/42.81 [26061] CLOSURE : ~left_apart_point(A39_2279_9, L40_2279_9)
% 293.41/42.81
% 293.41/42.81 [25933] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [25967] ~(left_apart_point(A39_2264_9, L40_2264_9) | left_apart_point(A39_2264_9, reverse_line(L40_2264_9)))
% 293.41/42.81
% 293.41/42.81 [25967] ALPHA_NOT_OR : ~(left_apart_point(A39_2264_9, L40_2264_9) | left_apart_point(A39_2264_9, reverse_line(L40_2264_9)))
% 293.41/42.81 -> [25969] ~left_apart_point(A39_2264_9, L40_2264_9), ~left_apart_point(A39_2264_9, reverse_line(L40_2264_9))
% 293.41/42.81
% 293.41/42.81 [25969] CLOSURE : ~left_apart_point(A39_2264_9, L40_2264_9)
% 293.41/42.81
% 293.41/42.81 [25610] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [25624] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.81
% 293.41/42.81 [25624] 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))))
% 293.41/42.81 -> [25626] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [25627] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81
% 293.41/42.81 [25627] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [25629] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [25630] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [25630] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [25911] ~(left_apart_point(A39_2249_9, L40_2249_9) | left_apart_point(A39_2249_9, reverse_line(L40_2249_9)))
% 293.41/42.81
% 293.41/42.81 [25911] ALPHA_NOT_OR : ~(left_apart_point(A39_2249_9, L40_2249_9) | left_apart_point(A39_2249_9, reverse_line(L40_2249_9)))
% 293.41/42.81 -> [25914] ~left_apart_point(A39_2249_9, L40_2249_9), ~left_apart_point(A39_2249_9, reverse_line(L40_2249_9))
% 293.41/42.81
% 293.41/42.81 [25914] CLOSURE : ~left_apart_point(A39_2249_9, L40_2249_9)
% 293.41/42.81
% 293.41/42.81 [25629] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [25936] ~(left_apart_point(A39_2253_9, L40_2253_9) | left_apart_point(A39_2253_9, reverse_line(L40_2253_9)))
% 293.41/42.81
% 293.41/42.81 [25936] ALPHA_NOT_OR : ~(left_apart_point(A39_2253_9, L40_2253_9) | left_apart_point(A39_2253_9, reverse_line(L40_2253_9)))
% 293.41/42.81 -> [25937] ~left_apart_point(A39_2253_9, L40_2253_9), ~left_apart_point(A39_2253_9, reverse_line(L40_2253_9))
% 293.41/42.81
% 293.41/42.81 [25937] CLOSURE : ~left_apart_point(A39_2253_9, L40_2253_9)
% 293.41/42.81
% 293.41/42.81 [25626] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [25652] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [25653] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [25653] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [25652] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [31] ALPHA_AND : (before_on_line(skolem_L7777, skolem_A8080, skolem_B8181) & before_on_line(skolem_L7777, skolem_B8181, skolem_C8282))
% 293.41/42.81 -> [38] before_on_line(skolem_L7777, skolem_A8080, skolem_B8181), before_on_line(skolem_L7777, skolem_B8181, skolem_C8282)
% 293.41/42.81
% 293.41/42.81 [38] Rewrite : before_on_line(skolem_L7777, skolem_A8080, skolem_B8181)
% 293.41/42.81 -> [45] (((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)))
% 293.41/42.81
% 293.41/42.81 [45] Rewrite : before_on_line(skolem_L7777, skolem_B8181, skolem_C8282)
% 293.41/42.81 -> [53] (((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)))
% 293.41/42.81
% 293.41/42.81 [53] 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)))
% 293.41/42.81 -> [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))
% 293.41/42.81
% 293.41/42.81 [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)))
% 293.41/42.81 -> [70] ((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))
% 293.41/42.81
% 293.41/42.81 [70] 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))))
% 293.41/42.81 -> [77] (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)))
% 293.41/42.81
% 293.41/42.81 [77] 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))))
% 293.41/42.81 -> [79] (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)))
% 293.41/42.81
% 293.41/42.81 [79] ALPHA_AND : (distinct_points(skolem_A8080, skolem_B8181) & ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777))))
% 293.41/42.81 -> [85] distinct_points(skolem_A8080, skolem_B8181), ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))
% 293.41/42.81
% 293.41/42.81 [85] ALPHA_NOT_OR : ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))
% 293.41/42.81 -> [100] ~left_apart_point(skolem_B8181, skolem_L7777), ~left_apart_point(skolem_B8181, reverse_line(skolem_L7777))
% 293.41/42.81
% 293.41/42.81 [100] ALPHA_AND : (distinct_points(skolem_B8181, skolem_C8282) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777))))
% 293.41/42.81 -> [109] distinct_points(skolem_B8181, skolem_C8282), ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))
% 293.41/42.81
% 293.41/42.81 [109] ALPHA_NOT_OR : ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))
% 293.41/42.81 -> [117] ~left_apart_point(skolem_C8282, skolem_L7777), ~left_apart_point(skolem_C8282, reverse_line(skolem_L7777))
% 293.41/42.81
% 293.41/42.81 [117] ALPHA_NOT_OR : ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))
% 293.41/42.81 -> [125] ~left_apart_point(skolem_A8080, skolem_L7777), ~left_apart_point(skolem_A8080, reverse_line(skolem_L7777))
% 293.41/42.81
% 293.41/42.81 [125] ALPHA_NOT_OR : ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))
% 293.41/42.81 -> [133] ~left_apart_point(skolem_B8181, skolem_L7777), ~left_apart_point(skolem_B8181, reverse_line(skolem_L7777))
% 293.41/42.81
% 293.41/42.81 [133] BETA_NOT_AND : ~(((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.41/42.81 -> [140] ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.41/42.81 -> [141] ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81
% 293.41/42.81 [141] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81 -> [156] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81
% 293.41/42.81 [156] BETA_NOT_AND : ~(((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 293.41/42.81 -> [641] ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.41/42.81 -> [642] ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.41/42.81
% 293.41/42.81 [642] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.41/42.81 -> [643] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.41/42.81
% 293.41/42.81 [643] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.41/42.81 -> [796] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.81
% 293.41/42.81 [796] 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))))
% 293.41/42.81 -> [1603] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.41/42.81
% 293.41/42.81 [1603] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.41/42.81 -> [1604] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.81 -> [1605] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.41/42.81
% 293.41/42.81 [1604] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.81
% 293.41/42.81 [1605] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.41/42.81 -> [2060] distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.81 -> [2061] distinct_points(skolem_C8282, skolem_B8181)
% 293.41/42.81
% 293.41/42.81 [2060] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.81
% 293.41/42.81 [2061] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.41/42.81 -> [2386] ~distinct_lines(N27_21_3, N27_21_3)
% 293.41/42.81
% 293.41/42.81 [2386] 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))))
% 293.41/42.81 -> [2401] (distinct_lines(N27_21_3, N27_21_3) => (distinct_lines(N27_21_3, N27_21_3) | distinct_lines(N27_21_3, N27_21_3)))
% 293.41/42.81
% 293.41/42.81 [2401] 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)))
% 293.41/42.81 -> [2403] ~distinct_lines(N27_21_3, N27_21_3)
% 293.41/42.81 -> [2404] (distinct_lines(N27_21_3, N27_21_3) | distinct_lines(N27_21_3, N27_21_3))
% 293.41/42.81
% 293.41/42.81 [2404] BETA_OR : (distinct_lines(N27_21_3, N27_21_3) | distinct_lines(N27_21_3, N27_21_3))
% 293.41/42.81 -> [2407] distinct_lines(N27_21_3, N27_21_3)
% 293.41/42.81 -> [2408] distinct_lines(N27_21_3, N27_21_3)
% 293.41/42.81
% 293.41/42.81 [2407] CLOSURE : distinct_lines(N27_21_3, N27_21_3)
% 293.41/42.81
% 293.41/42.81 [2408] CLOSURE : distinct_lines(N27_21_3, N27_21_3)
% 293.41/42.81
% 293.41/42.81 [2403] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.41/42.81 -> [2429] ~unequally_directed_lines(line_connecting(skolem_B8181, skolem_C8282), line_connecting(skolem_B8181, skolem_C8282))
% 293.41/42.81
% 293.41/42.81 [2429] 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))))
% 293.41/42.81 -> [2440] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(line_connecting(skolem_B8181, skolem_C8282), line_connecting(skolem_B8181, skolem_C8282))))
% 293.41/42.81
% 293.41/42.81 [2440] BETA_IMPLY : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(line_connecting(skolem_B8181, skolem_C8282), line_connecting(skolem_B8181, skolem_C8282))))
% 293.41/42.81 -> [2441] ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.41/42.81 -> [2442] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(line_connecting(skolem_B8181, skolem_C8282), line_connecting(skolem_B8181, skolem_C8282)))
% 293.41/42.81
% 293.41/42.81 [2442] BETA_OR : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(line_connecting(skolem_B8181, skolem_C8282), line_connecting(skolem_B8181, skolem_C8282)))
% 293.41/42.81 -> [2445] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.41/42.81 -> [2446] unequally_directed_lines(line_connecting(skolem_B8181, skolem_C8282), line_connecting(skolem_B8181, skolem_C8282))
% 293.41/42.81
% 293.41/42.81 [2445] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.41/42.81
% 293.41/42.81 [2446] CLOSURE : unequally_directed_lines(line_connecting(skolem_B8181, skolem_C8282), line_connecting(skolem_B8181, skolem_C8282))
% 293.41/42.81
% 293.41/42.81 [2441] 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))))))
% 293.41/42.81 -> [2572] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_2_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_2_6))) | (unequally_directed_lines(skolem_N7979, N34_2_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_2_6)))))
% 293.41/42.81
% 293.41/42.81 [2572] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_2_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_2_6))) | (unequally_directed_lines(skolem_N7979, N34_2_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_2_6)))))
% 293.41/42.81 -> [2573] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.81 -> [2574] ((unequally_directed_lines(skolem_M7878, N34_2_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_2_6))) | (unequally_directed_lines(skolem_N7979, N34_2_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_2_6))))
% 293.41/42.81
% 293.41/42.81 [2573] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.81 -> [2581] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.81 -> [2582] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.81
% 293.41/42.81 [2582] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.81
% 293.41/42.81 [2581] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.81
% 293.41/42.81 [2574] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_2_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_2_6))) | (unequally_directed_lines(skolem_N7979, N34_2_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_2_6))))
% 293.41/42.81 -> [2641] (unequally_directed_lines(skolem_M7878, N34_2_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_2_6)))
% 293.41/42.81 -> [2642] (unequally_directed_lines(skolem_N7979, N34_2_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_2_6)))
% 293.41/42.81
% 293.41/42.81 [2641] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_2_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_2_6)))
% 293.41/42.81 -> [2665] unequally_directed_lines(skolem_M7878, N34_2_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_2_6))
% 293.41/42.81
% 293.41/42.81 [2665] 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)))))
% 293.41/42.81 -> [2690] ((line(line_connecting(skolem_B8181, skolem_C8282)) & line(line_connecting(skolem_B8181, skolem_C8282))) => (unequally_directed_lines(line_connecting(skolem_B8181, skolem_C8282), line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(line_connecting(skolem_B8181, skolem_C8282), reverse_line(line_connecting(skolem_B8181, skolem_C8282)))))
% 293.41/42.81
% 293.41/42.81 [2690] BETA_IMPLY : ((line(line_connecting(skolem_B8181, skolem_C8282)) & line(line_connecting(skolem_B8181, skolem_C8282))) => (unequally_directed_lines(line_connecting(skolem_B8181, skolem_C8282), line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(line_connecting(skolem_B8181, skolem_C8282), reverse_line(line_connecting(skolem_B8181, skolem_C8282)))))
% 293.41/42.81 -> [2692] ~(line(line_connecting(skolem_B8181, skolem_C8282)) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.41/42.81 -> [2693] (unequally_directed_lines(line_connecting(skolem_B8181, skolem_C8282), line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(line_connecting(skolem_B8181, skolem_C8282), reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 293.41/42.81
% 293.41/42.81 [2693] BETA_OR : (unequally_directed_lines(line_connecting(skolem_B8181, skolem_C8282), line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(line_connecting(skolem_B8181, skolem_C8282), reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 293.41/42.81 -> [2703] unequally_directed_lines(line_connecting(skolem_B8181, skolem_C8282), line_connecting(skolem_B8181, skolem_C8282))
% 293.41/42.81 -> [2704] unequally_directed_lines(line_connecting(skolem_B8181, skolem_C8282), reverse_line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.41/42.81
% 293.41/42.81 [2703] CLOSURE : unequally_directed_lines(line_connecting(skolem_B8181, skolem_C8282), line_connecting(skolem_B8181, skolem_C8282))
% 293.41/42.81
% 293.41/42.81 [2704] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [2748] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.81
% 293.41/42.81 [2748] 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))))
% 293.41/42.81 -> [2749] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [2750] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81
% 293.41/42.81 [2750] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [2755] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [2756] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [2756] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [2812] ~(left_apart_point(A39_8_9, L40_8_9) | left_apart_point(A39_8_9, reverse_line(L40_8_9)))
% 293.41/42.81
% 293.41/42.81 [2812] ALPHA_NOT_OR : ~(left_apart_point(A39_8_9, L40_8_9) | left_apart_point(A39_8_9, reverse_line(L40_8_9)))
% 293.41/42.81 -> [2813] ~left_apart_point(A39_8_9, L40_8_9), ~left_apart_point(A39_8_9, reverse_line(L40_8_9))
% 293.41/42.81
% 293.41/42.81 [2813] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.41/42.81 -> [2883] ~(left_convergent_lines(L41_8_10, M42_8_10) | left_convergent_lines(L41_8_10, reverse_line(M42_8_10)))
% 293.41/42.81
% 293.41/42.81 [2883] ALPHA_NOT_OR : ~(left_convergent_lines(L41_8_10, M42_8_10) | left_convergent_lines(L41_8_10, reverse_line(M42_8_10)))
% 293.41/42.81 -> [2886] ~left_convergent_lines(L41_8_10, M42_8_10), ~left_convergent_lines(L41_8_10, reverse_line(M42_8_10))
% 293.41/42.81
% 293.41/42.81 [2886] CLOSURE : ~left_convergent_lines(L41_8_10, M42_8_10)
% 293.41/42.81
% 293.41/42.81 [2755] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [2828] ~(left_apart_point(A39_11_9, L40_11_9) | left_apart_point(A39_11_9, reverse_line(L40_11_9)))
% 293.41/42.81
% 293.41/42.81 [2828] ALPHA_NOT_OR : ~(left_apart_point(A39_11_9, L40_11_9) | left_apart_point(A39_11_9, reverse_line(L40_11_9)))
% 293.41/42.81 -> [2829] ~left_apart_point(A39_11_9, L40_11_9), ~left_apart_point(A39_11_9, reverse_line(L40_11_9))
% 293.41/42.81
% 293.41/42.81 [2829] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.41/42.81 -> [2900] ~(left_convergent_lines(L41_13_10, M42_13_10) | left_convergent_lines(L41_13_10, reverse_line(M42_13_10)))
% 293.41/42.81
% 293.41/42.81 [2900] ALPHA_NOT_OR : ~(left_convergent_lines(L41_13_10, M42_13_10) | left_convergent_lines(L41_13_10, reverse_line(M42_13_10)))
% 293.41/42.81 -> [2901] ~left_convergent_lines(L41_13_10, M42_13_10), ~left_convergent_lines(L41_13_10, reverse_line(M42_13_10))
% 293.41/42.81
% 293.41/42.81 [2901] CLOSURE : ~left_convergent_lines(L41_13_10, M42_13_10)
% 293.41/42.81
% 293.41/42.81 [2749] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [3968] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [3969] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [3969] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [3968] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [2692] BETA_NOT_AND : ~(line(line_connecting(skolem_B8181, skolem_C8282)) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.41/42.81 -> [2709] ~line(line_connecting(skolem_B8181, skolem_C8282))
% 293.41/42.81 -> [2710] ~line(line_connecting(skolem_B8181, skolem_C8282))
% 293.41/42.81
% 293.41/42.81 [2709] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [2760] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.81
% 293.41/42.81 [2760] 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))))
% 293.41/42.81 -> [2762] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [2763] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81
% 293.41/42.81 [2762] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [2805] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [2806] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [2806] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [2805] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [2763] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [2776] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [2777] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [2777] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [2830] ~(left_apart_point(A39_12_9, L40_12_9) | left_apart_point(A39_12_9, reverse_line(L40_12_9)))
% 293.41/42.81
% 293.41/42.81 [2830] ALPHA_NOT_OR : ~(left_apart_point(A39_12_9, L40_12_9) | left_apart_point(A39_12_9, reverse_line(L40_12_9)))
% 293.41/42.81 -> [2831] ~left_apart_point(A39_12_9, L40_12_9), ~left_apart_point(A39_12_9, reverse_line(L40_12_9))
% 293.41/42.81
% 293.41/42.81 [2831] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.41/42.81 -> [2892] ~(left_convergent_lines(L41_10_10, M42_10_10) | left_convergent_lines(L41_10_10, reverse_line(M42_10_10)))
% 293.41/42.81
% 293.41/42.81 [2892] ALPHA_NOT_OR : ~(left_convergent_lines(L41_10_10, M42_10_10) | left_convergent_lines(L41_10_10, reverse_line(M42_10_10)))
% 293.41/42.81 -> [2894] ~left_convergent_lines(L41_10_10, M42_10_10), ~left_convergent_lines(L41_10_10, reverse_line(M42_10_10))
% 293.41/42.81
% 293.41/42.81 [2894] CLOSURE : ~left_convergent_lines(L41_10_10, M42_10_10)
% 293.41/42.81
% 293.41/42.81 [2776] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [2844] ~(left_apart_point(A39_13_9, L40_13_9) | left_apart_point(A39_13_9, reverse_line(L40_13_9)))
% 293.41/42.81
% 293.41/42.81 [2844] ALPHA_NOT_OR : ~(left_apart_point(A39_13_9, L40_13_9) | left_apart_point(A39_13_9, reverse_line(L40_13_9)))
% 293.41/42.81 -> [2846] ~left_apart_point(A39_13_9, L40_13_9), ~left_apart_point(A39_13_9, reverse_line(L40_13_9))
% 293.41/42.81
% 293.41/42.81 [2846] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.41/42.81 -> [2895] ~(left_convergent_lines(L41_11_10, M42_11_10) | left_convergent_lines(L41_11_10, reverse_line(M42_11_10)))
% 293.41/42.81
% 293.41/42.81 [2895] ALPHA_NOT_OR : ~(left_convergent_lines(L41_11_10, M42_11_10) | left_convergent_lines(L41_11_10, reverse_line(M42_11_10)))
% 293.41/42.81 -> [2897] ~left_convergent_lines(L41_11_10, M42_11_10), ~left_convergent_lines(L41_11_10, reverse_line(M42_11_10))
% 293.41/42.81
% 293.41/42.81 [2897] CLOSURE : ~left_convergent_lines(L41_11_10, M42_11_10)
% 293.41/42.81
% 293.41/42.81 [2710] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [2734] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.81
% 293.41/42.81 [2734] 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))))
% 293.41/42.81 -> [2735] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [2736] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81
% 293.41/42.81 [2735] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [2768] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [2769] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [2769] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [2768] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [2736] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [2740] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [2741] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [2740] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [3991] ~(left_apart_point(A39_37_9, L40_37_9) | left_apart_point(A39_37_9, reverse_line(L40_37_9)))
% 293.41/42.81
% 293.41/42.81 [3991] ALPHA_NOT_OR : ~(left_apart_point(A39_37_9, L40_37_9) | left_apart_point(A39_37_9, reverse_line(L40_37_9)))
% 293.41/42.81 -> [3993] ~left_apart_point(A39_37_9, L40_37_9), ~left_apart_point(A39_37_9, reverse_line(L40_37_9))
% 293.41/42.81
% 293.41/42.81 [3993] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.41/42.81 -> [4150] ~(left_convergent_lines(L41_18_10, M42_18_10) | left_convergent_lines(L41_18_10, reverse_line(M42_18_10)))
% 293.41/42.81
% 293.41/42.81 [4150] ALPHA_NOT_OR : ~(left_convergent_lines(L41_18_10, M42_18_10) | left_convergent_lines(L41_18_10, reverse_line(M42_18_10)))
% 293.41/42.81 -> [4152] ~left_convergent_lines(L41_18_10, M42_18_10), ~left_convergent_lines(L41_18_10, reverse_line(M42_18_10))
% 293.41/42.81
% 293.41/42.81 [4152] CLOSURE : ~left_convergent_lines(L41_18_10, M42_18_10)
% 293.41/42.81
% 293.41/42.81 [2741] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [4614] ~(left_apart_point(A39_45_9, L40_45_9) | left_apart_point(A39_45_9, reverse_line(L40_45_9)))
% 293.41/42.81
% 293.41/42.81 [4614] ALPHA_NOT_OR : ~(left_apart_point(A39_45_9, L40_45_9) | left_apart_point(A39_45_9, reverse_line(L40_45_9)))
% 293.41/42.81 -> [4615] ~left_apart_point(A39_45_9, L40_45_9), ~left_apart_point(A39_45_9, reverse_line(L40_45_9))
% 293.41/42.81
% 293.41/42.81 [4615] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.41/42.81 -> [4705] ~(left_convergent_lines(L41_20_10, M42_20_10) | left_convergent_lines(L41_20_10, reverse_line(M42_20_10)))
% 293.41/42.81
% 293.41/42.81 [4705] ALPHA_NOT_OR : ~(left_convergent_lines(L41_20_10, M42_20_10) | left_convergent_lines(L41_20_10, reverse_line(M42_20_10)))
% 293.41/42.81 -> [4708] ~left_convergent_lines(L41_20_10, M42_20_10), ~left_convergent_lines(L41_20_10, reverse_line(M42_20_10))
% 293.41/42.81
% 293.41/42.81 [4708] CLOSURE : ~left_convergent_lines(L41_20_10, M42_20_10)
% 293.41/42.81
% 293.41/42.81 [2642] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_2_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_2_6)))
% 293.41/42.81 -> [2657] unequally_directed_lines(skolem_N7979, N34_2_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_2_6))
% 293.41/42.81
% 293.41/42.81 [2657] 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)))))
% 293.41/42.81 -> [2689] ((line(line_connecting(skolem_B8181, skolem_C8282)) & line(line_connecting(skolem_B8181, skolem_C8282))) => (unequally_directed_lines(line_connecting(skolem_B8181, skolem_C8282), line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(line_connecting(skolem_B8181, skolem_C8282), reverse_line(line_connecting(skolem_B8181, skolem_C8282)))))
% 293.41/42.81
% 293.41/42.81 [2689] BETA_IMPLY : ((line(line_connecting(skolem_B8181, skolem_C8282)) & line(line_connecting(skolem_B8181, skolem_C8282))) => (unequally_directed_lines(line_connecting(skolem_B8181, skolem_C8282), line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(line_connecting(skolem_B8181, skolem_C8282), reverse_line(line_connecting(skolem_B8181, skolem_C8282)))))
% 293.41/42.81 -> [2701] ~(line(line_connecting(skolem_B8181, skolem_C8282)) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.41/42.81 -> [2702] (unequally_directed_lines(line_connecting(skolem_B8181, skolem_C8282), line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(line_connecting(skolem_B8181, skolem_C8282), reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 293.41/42.81
% 293.41/42.81 [2702] BETA_OR : (unequally_directed_lines(line_connecting(skolem_B8181, skolem_C8282), line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(line_connecting(skolem_B8181, skolem_C8282), reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 293.41/42.81 -> [2706] unequally_directed_lines(line_connecting(skolem_B8181, skolem_C8282), line_connecting(skolem_B8181, skolem_C8282))
% 293.41/42.81 -> [2707] unequally_directed_lines(line_connecting(skolem_B8181, skolem_C8282), reverse_line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.41/42.81
% 293.41/42.81 [2706] CLOSURE : unequally_directed_lines(line_connecting(skolem_B8181, skolem_C8282), line_connecting(skolem_B8181, skolem_C8282))
% 293.41/42.81
% 293.41/42.81 [2707] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [2751] ((unequally_directed_lines(skolem_N7979, M38_8_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_8_8))) => (left_convergent_lines(skolem_N7979, M38_8_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_8_8))))
% 293.41/42.81
% 293.41/42.81 [2751] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_8_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_8_8))) => (left_convergent_lines(skolem_N7979, M38_8_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_8_8))))
% 293.41/42.81 -> [2752] ~(unequally_directed_lines(skolem_N7979, M38_8_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_8_8)))
% 293.41/42.81 -> [2753] (left_convergent_lines(skolem_N7979, M38_8_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_8_8)))
% 293.41/42.81
% 293.41/42.81 [2753] BETA_OR : (left_convergent_lines(skolem_N7979, M38_8_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_8_8)))
% 293.41/42.81 -> [2765] left_convergent_lines(skolem_N7979, M38_8_8)
% 293.41/42.81 -> [2766] left_convergent_lines(skolem_N7979, reverse_line(M38_8_8))
% 293.41/42.81
% 293.41/42.81 [2766] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [2819] ~(left_apart_point(A39_9_9, L40_9_9) | left_apart_point(A39_9_9, reverse_line(L40_9_9)))
% 293.41/42.81
% 293.41/42.81 [2819] ALPHA_NOT_OR : ~(left_apart_point(A39_9_9, L40_9_9) | left_apart_point(A39_9_9, reverse_line(L40_9_9)))
% 293.41/42.81 -> [2820] ~left_apart_point(A39_9_9, L40_9_9), ~left_apart_point(A39_9_9, reverse_line(L40_9_9))
% 293.41/42.81
% 293.41/42.81 [2820] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.41/42.81 -> [2891] ~(left_convergent_lines(L41_9_10, M42_9_10) | left_convergent_lines(L41_9_10, reverse_line(M42_9_10)))
% 293.41/42.81
% 293.41/42.81 [2891] ALPHA_NOT_OR : ~(left_convergent_lines(L41_9_10, M42_9_10) | left_convergent_lines(L41_9_10, reverse_line(M42_9_10)))
% 293.41/42.81 -> [2893] ~left_convergent_lines(L41_9_10, M42_9_10), ~left_convergent_lines(L41_9_10, reverse_line(M42_9_10))
% 293.41/42.81
% 293.41/42.81 [2893] CLOSURE : ~left_convergent_lines(L41_9_10, M42_9_10)
% 293.41/42.81
% 293.41/42.81 [2765] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [2825] ~(left_apart_point(A39_10_9, L40_10_9) | left_apart_point(A39_10_9, reverse_line(L40_10_9)))
% 293.41/42.81
% 293.41/42.81 [2825] ALPHA_NOT_OR : ~(left_apart_point(A39_10_9, L40_10_9) | left_apart_point(A39_10_9, reverse_line(L40_10_9)))
% 293.41/42.81 -> [2826] ~left_apart_point(A39_10_9, L40_10_9), ~left_apart_point(A39_10_9, reverse_line(L40_10_9))
% 293.41/42.81
% 293.41/42.81 [2826] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.41/42.81 -> [2896] ~(left_convergent_lines(L41_12_10, M42_12_10) | left_convergent_lines(L41_12_10, reverse_line(M42_12_10)))
% 293.41/42.81
% 293.41/42.81 [2896] ALPHA_NOT_OR : ~(left_convergent_lines(L41_12_10, M42_12_10) | left_convergent_lines(L41_12_10, reverse_line(M42_12_10)))
% 293.41/42.81 -> [2898] ~left_convergent_lines(L41_12_10, M42_12_10), ~left_convergent_lines(L41_12_10, reverse_line(M42_12_10))
% 293.41/42.81
% 293.41/42.81 [2898] CLOSURE : ~left_convergent_lines(L41_12_10, M42_12_10)
% 293.41/42.81
% 293.41/42.81 [2752] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_8_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_8_8)))
% 293.41/42.81 -> [2842] ~unequally_directed_lines(skolem_N7979, M38_8_8)
% 293.41/42.81 -> [2843] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_8_8))
% 293.41/42.81
% 293.41/42.81 [2843] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_8_8))
% 293.41/42.81
% 293.41/42.81 [2842] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_8_8)
% 293.41/42.81
% 293.41/42.81 [2701] BETA_NOT_AND : ~(line(line_connecting(skolem_B8181, skolem_C8282)) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.41/42.81 -> [2711] ~line(line_connecting(skolem_B8181, skolem_C8282))
% 293.41/42.81 -> [2712] ~line(line_connecting(skolem_B8181, skolem_C8282))
% 293.41/42.81
% 293.41/42.81 [2711] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [2761] ((unequally_directed_lines(skolem_N7979, M38_10_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_10_8))) => (left_convergent_lines(skolem_N7979, M38_10_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_10_8))))
% 293.41/42.81
% 293.41/42.81 [2761] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_10_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_10_8))) => (left_convergent_lines(skolem_N7979, M38_10_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_10_8))))
% 293.41/42.81 -> [2771] ~(unequally_directed_lines(skolem_N7979, M38_10_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_10_8)))
% 293.41/42.81 -> [2772] (left_convergent_lines(skolem_N7979, M38_10_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_10_8)))
% 293.41/42.81
% 293.41/42.81 [2771] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_10_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_10_8)))
% 293.41/42.81 -> [2798] ~unequally_directed_lines(skolem_N7979, M38_10_8)
% 293.41/42.81 -> [2799] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_10_8))
% 293.41/42.81
% 293.41/42.81 [2799] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_10_8))
% 293.41/42.81
% 293.41/42.81 [2798] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_10_8)
% 293.41/42.81
% 293.41/42.81 [2772] BETA_OR : (left_convergent_lines(skolem_N7979, M38_10_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_10_8)))
% 293.41/42.81 -> [2774] left_convergent_lines(skolem_N7979, M38_10_8)
% 293.41/42.81 -> [2775] left_convergent_lines(skolem_N7979, reverse_line(M38_10_8))
% 293.41/42.81
% 293.41/42.81 [2775] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [2849] ~(left_apart_point(A39_14_9, L40_14_9) | left_apart_point(A39_14_9, reverse_line(L40_14_9)))
% 293.41/42.81
% 293.41/42.81 [2849] ALPHA_NOT_OR : ~(left_apart_point(A39_14_9, L40_14_9) | left_apart_point(A39_14_9, reverse_line(L40_14_9)))
% 293.41/42.81 -> [2850] ~left_apart_point(A39_14_9, L40_14_9), ~left_apart_point(A39_14_9, reverse_line(L40_14_9))
% 293.41/42.81
% 293.41/42.81 [2850] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.41/42.81 -> [2926] ~(left_convergent_lines(L41_14_10, M42_14_10) | left_convergent_lines(L41_14_10, reverse_line(M42_14_10)))
% 293.41/42.81
% 293.41/42.81 [2926] ALPHA_NOT_OR : ~(left_convergent_lines(L41_14_10, M42_14_10) | left_convergent_lines(L41_14_10, reverse_line(M42_14_10)))
% 293.41/42.81 -> [2927] ~left_convergent_lines(L41_14_10, M42_14_10), ~left_convergent_lines(L41_14_10, reverse_line(M42_14_10))
% 293.41/42.81
% 293.41/42.81 [2927] CLOSURE : ~left_convergent_lines(L41_14_10, M42_14_10)
% 293.41/42.81
% 293.41/42.81 [2774] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [2868] ~(left_apart_point(A39_15_9, L40_15_9) | left_apart_point(A39_15_9, reverse_line(L40_15_9)))
% 293.41/42.81
% 293.41/42.81 [2868] ALPHA_NOT_OR : ~(left_apart_point(A39_15_9, L40_15_9) | left_apart_point(A39_15_9, reverse_line(L40_15_9)))
% 293.41/42.81 -> [2871] ~left_apart_point(A39_15_9, L40_15_9), ~left_apart_point(A39_15_9, reverse_line(L40_15_9))
% 293.41/42.81
% 293.41/42.81 [2871] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.41/42.81 -> [3185] ~(left_convergent_lines(L41_15_10, M42_15_10) | left_convergent_lines(L41_15_10, reverse_line(M42_15_10)))
% 293.41/42.81
% 293.41/42.81 [3185] ALPHA_NOT_OR : ~(left_convergent_lines(L41_15_10, M42_15_10) | left_convergent_lines(L41_15_10, reverse_line(M42_15_10)))
% 293.41/42.81 -> [3188] ~left_convergent_lines(L41_15_10, M42_15_10), ~left_convergent_lines(L41_15_10, reverse_line(M42_15_10))
% 293.41/42.81
% 293.41/42.81 [3188] CLOSURE : ~left_convergent_lines(L41_15_10, M42_15_10)
% 293.41/42.81
% 293.41/42.81 [2712] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [2737] ((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))))
% 293.41/42.81
% 293.41/42.81 [2737] 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))))
% 293.41/42.81 -> [2738] ~(unequally_directed_lines(skolem_N7979, M38_6_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_6_8)))
% 293.41/42.81 -> [2739] (left_convergent_lines(skolem_N7979, M38_6_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_6_8)))
% 293.41/42.81
% 293.41/42.81 [2738] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_6_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_6_8)))
% 293.41/42.81 -> [2800] ~unequally_directed_lines(skolem_N7979, M38_6_8)
% 293.41/42.81 -> [2801] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_6_8))
% 293.41/42.81
% 293.41/42.81 [2801] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_6_8))
% 293.41/42.81
% 293.41/42.81 [2800] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_6_8)
% 293.41/42.81
% 293.41/42.81 [2739] BETA_OR : (left_convergent_lines(skolem_N7979, M38_6_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_6_8)))
% 293.41/42.81 -> [2746] left_convergent_lines(skolem_N7979, M38_6_8)
% 293.41/42.81 -> [2747] left_convergent_lines(skolem_N7979, reverse_line(M38_6_8))
% 293.41/42.81
% 293.41/42.81 [2746] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [3982] ~(left_apart_point(A39_35_9, L40_35_9) | left_apart_point(A39_35_9, reverse_line(L40_35_9)))
% 293.41/42.81
% 293.41/42.81 [3982] ALPHA_NOT_OR : ~(left_apart_point(A39_35_9, L40_35_9) | left_apart_point(A39_35_9, reverse_line(L40_35_9)))
% 293.41/42.81 -> [3983] ~left_apart_point(A39_35_9, L40_35_9), ~left_apart_point(A39_35_9, reverse_line(L40_35_9))
% 293.41/42.81
% 293.41/42.81 [3983] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.41/42.81 -> [4151] ~(left_convergent_lines(L41_19_10, M42_19_10) | left_convergent_lines(L41_19_10, reverse_line(M42_19_10)))
% 293.41/42.81
% 293.41/42.81 [4151] ALPHA_NOT_OR : ~(left_convergent_lines(L41_19_10, M42_19_10) | left_convergent_lines(L41_19_10, reverse_line(M42_19_10)))
% 293.41/42.81 -> [4153] ~left_convergent_lines(L41_19_10, M42_19_10), ~left_convergent_lines(L41_19_10, reverse_line(M42_19_10))
% 293.41/42.81
% 293.41/42.81 [4153] CLOSURE : ~left_convergent_lines(L41_19_10, M42_19_10)
% 293.41/42.81
% 293.41/42.81 [2747] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [4010] ~(left_apart_point(A39_39_9, L40_39_9) | left_apart_point(A39_39_9, reverse_line(L40_39_9)))
% 293.41/42.81
% 293.41/42.81 [4010] ALPHA_NOT_OR : ~(left_apart_point(A39_39_9, L40_39_9) | left_apart_point(A39_39_9, reverse_line(L40_39_9)))
% 293.41/42.81 -> [4011] ~left_apart_point(A39_39_9, L40_39_9), ~left_apart_point(A39_39_9, reverse_line(L40_39_9))
% 293.41/42.81
% 293.41/42.81 [4011] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.41/42.81 -> [4798] ~(left_convergent_lines(L41_21_10, M42_21_10) | left_convergent_lines(L41_21_10, reverse_line(M42_21_10)))
% 293.41/42.81
% 293.41/42.81 [4798] ALPHA_NOT_OR : ~(left_convergent_lines(L41_21_10, M42_21_10) | left_convergent_lines(L41_21_10, reverse_line(M42_21_10)))
% 293.41/42.81 -> [4799] ~left_convergent_lines(L41_21_10, M42_21_10), ~left_convergent_lines(L41_21_10, reverse_line(M42_21_10))
% 293.41/42.81
% 293.41/42.81 [4799] CLOSURE : ~left_convergent_lines(L41_21_10, M42_21_10)
% 293.41/42.81
% 293.41/42.81 [641] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.41/42.81 -> [710] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.41/42.81 -> [711] ~~(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)))
% 293.41/42.81
% 293.41/42.81 [711] 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)))
% 293.41/42.81 -> [716] (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)))
% 293.41/42.81
% 293.41/42.81 [716] 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)))
% 293.41/42.81 -> [719] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 293.41/42.81 -> [720] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [720] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.41/42.81 -> [1061] ~distinct_points(skolem_C8282, skolem_C8282)
% 293.41/42.81
% 293.41/42.81 [1061] 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))))
% 293.41/42.81 -> [2511] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.41/42.81
% 293.41/42.81 [2511] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.41/42.81 -> [2512] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.81 -> [2513] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.41/42.81
% 293.41/42.81 [2512] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.81
% 293.41/42.81 [2513] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.41/42.81 -> [3268] distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.81 -> [3269] distinct_points(skolem_C8282, skolem_C8282)
% 293.41/42.81
% 293.41/42.81 [3269] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 293.41/42.81
% 293.41/42.81 [3268] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.41/42.81 -> [3308] ~distinct_lines(M26_50_3, M26_50_3)
% 293.41/42.81
% 293.41/42.81 [3308] 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))))
% 293.41/42.81 -> [3329] (distinct_lines(M26_50_3, M26_50_3) => (distinct_lines(M26_50_3, M26_50_3) | distinct_lines(M26_50_3, M26_50_3)))
% 293.41/42.81
% 293.41/42.81 [3329] BETA_IMPLY : (distinct_lines(M26_50_3, M26_50_3) => (distinct_lines(M26_50_3, M26_50_3) | distinct_lines(M26_50_3, M26_50_3)))
% 293.41/42.81 -> [3330] ~distinct_lines(M26_50_3, M26_50_3)
% 293.41/42.81 -> [3331] (distinct_lines(M26_50_3, M26_50_3) | distinct_lines(M26_50_3, M26_50_3))
% 293.41/42.81
% 293.41/42.81 [3331] BETA_OR : (distinct_lines(M26_50_3, M26_50_3) | distinct_lines(M26_50_3, M26_50_3))
% 293.41/42.81 -> [3332] distinct_lines(M26_50_3, M26_50_3)
% 293.41/42.81 -> [3333] distinct_lines(M26_50_3, M26_50_3)
% 293.41/42.81
% 293.41/42.81 [3332] CLOSURE : distinct_lines(M26_50_3, M26_50_3)
% 293.41/42.81
% 293.41/42.81 [3333] CLOSURE : distinct_lines(M26_50_3, M26_50_3)
% 293.41/42.81
% 293.41/42.81 [3330] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.41/42.81 -> [3392] ~unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81
% 293.41/42.81 [3392] 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))))
% 293.41/42.81 -> [3717] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.41/42.81
% 293.41/42.81 [3717] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.41/42.81 -> [3718] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81 -> [3719] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.41/42.81
% 293.41/42.81 [3718] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81
% 293.41/42.81 [3719] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.41/42.81 -> [4291] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81 -> [4292] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81
% 293.41/42.81 [4292] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81
% 293.41/42.81 [4291] 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))))))
% 293.41/42.81 -> [4316] ((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)))))
% 293.41/42.81
% 293.41/42.81 [4316] 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)))))
% 293.41/42.81 -> [4317] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.81 -> [4318] ((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))))
% 293.41/42.81
% 293.41/42.81 [4317] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.81 -> [4325] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.81 -> [4326] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.81
% 293.41/42.81 [4326] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.81
% 293.41/42.81 [4325] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.81
% 293.41/42.81 [4318] 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))))
% 293.41/42.81 -> [4389] (unequally_directed_lines(skolem_M7878, N34_9_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_9_6)))
% 293.41/42.81 -> [4390] (unequally_directed_lines(skolem_N7979, N34_9_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_9_6)))
% 293.41/42.81
% 293.41/42.81 [4390] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_9_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_9_6)))
% 293.41/42.81 -> [4391] unequally_directed_lines(skolem_N7979, N34_9_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_9_6))
% 293.41/42.81
% 293.41/42.81 [4391] 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)))))
% 293.41/42.81 -> [4409] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))))
% 293.41/42.81
% 293.41/42.81 [4409] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))))
% 293.41/42.81 -> [4410] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.41/42.81 -> [4411] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.41/42.81
% 293.41/42.81 [4410] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.41/42.81 -> [4417] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81 -> [4418] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81
% 293.41/42.81 [4418] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [4457] ((unequally_directed_lines(skolem_N7979, M38_21_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_21_8))) => (left_convergent_lines(skolem_N7979, M38_21_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_21_8))))
% 293.41/42.81
% 293.41/42.81 [4457] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_21_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_21_8))) => (left_convergent_lines(skolem_N7979, M38_21_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_21_8))))
% 293.41/42.81 -> [4460] ~(unequally_directed_lines(skolem_N7979, M38_21_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_21_8)))
% 293.41/42.81 -> [4461] (left_convergent_lines(skolem_N7979, M38_21_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_21_8)))
% 293.41/42.81
% 293.41/42.81 [4461] BETA_OR : (left_convergent_lines(skolem_N7979, M38_21_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_21_8)))
% 293.41/42.81 -> [4463] left_convergent_lines(skolem_N7979, M38_21_8)
% 293.41/42.81 -> [4464] left_convergent_lines(skolem_N7979, reverse_line(M38_21_8))
% 293.41/42.81
% 293.41/42.81 [4464] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [4581] ~(left_apart_point(A39_41_9, L40_41_9) | left_apart_point(A39_41_9, reverse_line(L40_41_9)))
% 293.41/42.81
% 293.41/42.81 [4581] ALPHA_NOT_OR : ~(left_apart_point(A39_41_9, L40_41_9) | left_apart_point(A39_41_9, reverse_line(L40_41_9)))
% 293.41/42.81 -> [4582] ~left_apart_point(A39_41_9, L40_41_9), ~left_apart_point(A39_41_9, reverse_line(L40_41_9))
% 293.41/42.81
% 293.41/42.81 [4582] CLOSURE : ~left_apart_point(A39_41_9, L40_41_9)
% 293.41/42.81
% 293.41/42.81 [4463] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [4606] ~(left_apart_point(A39_44_9, L40_44_9) | left_apart_point(A39_44_9, reverse_line(L40_44_9)))
% 293.41/42.81
% 293.41/42.81 [4606] ALPHA_NOT_OR : ~(left_apart_point(A39_44_9, L40_44_9) | left_apart_point(A39_44_9, reverse_line(L40_44_9)))
% 293.41/42.81 -> [4607] ~left_apart_point(A39_44_9, L40_44_9), ~left_apart_point(A39_44_9, reverse_line(L40_44_9))
% 293.41/42.81
% 293.41/42.81 [4607] CLOSURE : ~left_apart_point(A39_44_9, L40_44_9)
% 293.41/42.81
% 293.41/42.81 [4460] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_21_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_21_8)))
% 293.41/42.81 -> [4490] ~unequally_directed_lines(skolem_N7979, M38_21_8)
% 293.41/42.81 -> [4491] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_21_8))
% 293.41/42.81
% 293.41/42.81 [4491] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_21_8))
% 293.41/42.81
% 293.41/42.81 [4490] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_21_8)
% 293.41/42.81
% 293.41/42.81 [4417] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [4480] ((unequally_directed_lines(skolem_N7979, M38_23_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_23_8))) => (left_convergent_lines(skolem_N7979, M38_23_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_23_8))))
% 293.41/42.81
% 293.41/42.81 [4480] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_23_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_23_8))) => (left_convergent_lines(skolem_N7979, M38_23_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_23_8))))
% 293.41/42.81 -> [4481] ~(unequally_directed_lines(skolem_N7979, M38_23_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_23_8)))
% 293.41/42.81 -> [4482] (left_convergent_lines(skolem_N7979, M38_23_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_23_8)))
% 293.41/42.81
% 293.41/42.81 [4481] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_23_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_23_8)))
% 293.41/42.81 -> [4519] ~unequally_directed_lines(skolem_N7979, M38_23_8)
% 293.41/42.81 -> [4520] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_23_8))
% 293.41/42.81
% 293.41/42.81 [4519] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_23_8)
% 293.41/42.81
% 293.41/42.81 [4520] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_23_8))
% 293.41/42.81
% 293.41/42.81 [4482] BETA_OR : (left_convergent_lines(skolem_N7979, M38_23_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_23_8)))
% 293.41/42.81 -> [4485] left_convergent_lines(skolem_N7979, M38_23_8)
% 293.41/42.81 -> [4486] left_convergent_lines(skolem_N7979, reverse_line(M38_23_8))
% 293.41/42.81
% 293.41/42.81 [4486] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [4596] ~(left_apart_point(A39_43_9, L40_43_9) | left_apart_point(A39_43_9, reverse_line(L40_43_9)))
% 293.41/42.81
% 293.41/42.81 [4596] ALPHA_NOT_OR : ~(left_apart_point(A39_43_9, L40_43_9) | left_apart_point(A39_43_9, reverse_line(L40_43_9)))
% 293.41/42.81 -> [4597] ~left_apart_point(A39_43_9, L40_43_9), ~left_apart_point(A39_43_9, reverse_line(L40_43_9))
% 293.41/42.81
% 293.41/42.81 [4597] CLOSURE : ~left_apart_point(A39_43_9, L40_43_9)
% 293.41/42.81
% 293.41/42.81 [4485] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [4659] ~(left_apart_point(A39_50_9, L40_50_9) | left_apart_point(A39_50_9, reverse_line(L40_50_9)))
% 293.41/42.81
% 293.41/42.81 [4659] ALPHA_NOT_OR : ~(left_apart_point(A39_50_9, L40_50_9) | left_apart_point(A39_50_9, reverse_line(L40_50_9)))
% 293.41/42.81 -> [4660] ~left_apart_point(A39_50_9, L40_50_9), ~left_apart_point(A39_50_9, reverse_line(L40_50_9))
% 293.41/42.81
% 293.41/42.81 [4660] CLOSURE : ~left_apart_point(A39_50_9, L40_50_9)
% 293.41/42.81
% 293.41/42.81 [4411] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.41/42.81 -> [4414] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81 -> [4415] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.41/42.81
% 293.41/42.81 [4414] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81
% 293.41/42.81 [4415] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [4465] ((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))))
% 293.41/42.81
% 293.41/42.81 [4465] 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))))
% 293.41/42.81 -> [4466] ~(unequally_directed_lines(skolem_N7979, M38_22_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_22_8)))
% 293.41/42.81 -> [4467] (left_convergent_lines(skolem_N7979, M38_22_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_22_8)))
% 293.41/42.81
% 293.41/42.81 [4466] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_22_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_22_8)))
% 293.41/42.81 -> [4498] ~unequally_directed_lines(skolem_N7979, M38_22_8)
% 293.41/42.81 -> [4499] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_22_8))
% 293.41/42.81
% 293.41/42.81 [4498] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_22_8)
% 293.41/42.81
% 293.41/42.81 [4499] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_22_8))
% 293.41/42.81
% 293.41/42.81 [4467] BETA_OR : (left_convergent_lines(skolem_N7979, M38_22_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_22_8)))
% 293.41/42.81 -> [4471] left_convergent_lines(skolem_N7979, M38_22_8)
% 293.41/42.81 -> [4472] left_convergent_lines(skolem_N7979, reverse_line(M38_22_8))
% 293.41/42.81
% 293.41/42.81 [4472] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [4586] ~(left_apart_point(A39_42_9, L40_42_9) | left_apart_point(A39_42_9, reverse_line(L40_42_9)))
% 293.41/42.81
% 293.41/42.81 [4586] ALPHA_NOT_OR : ~(left_apart_point(A39_42_9, L40_42_9) | left_apart_point(A39_42_9, reverse_line(L40_42_9)))
% 293.41/42.81 -> [4587] ~left_apart_point(A39_42_9, L40_42_9), ~left_apart_point(A39_42_9, reverse_line(L40_42_9))
% 293.41/42.81
% 293.41/42.81 [4587] CLOSURE : ~left_apart_point(A39_42_9, L40_42_9)
% 293.41/42.81
% 293.41/42.81 [4471] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [4693] ~(left_apart_point(A39_53_9, L40_53_9) | left_apart_point(A39_53_9, reverse_line(L40_53_9)))
% 293.41/42.81
% 293.41/42.81 [4693] ALPHA_NOT_OR : ~(left_apart_point(A39_53_9, L40_53_9) | left_apart_point(A39_53_9, reverse_line(L40_53_9)))
% 293.41/42.81 -> [4696] ~left_apart_point(A39_53_9, L40_53_9), ~left_apart_point(A39_53_9, reverse_line(L40_53_9))
% 293.41/42.81
% 293.41/42.81 [4696] CLOSURE : ~left_apart_point(A39_53_9, L40_53_9)
% 293.41/42.81
% 293.41/42.81 [4389] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_9_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_9_6)))
% 293.41/42.81 -> [4395] unequally_directed_lines(skolem_M7878, N34_9_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_9_6))
% 293.41/42.81
% 293.41/42.81 [4395] 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)))))
% 293.41/42.81 -> [4419] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))))
% 293.41/42.81
% 293.41/42.81 [4419] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))))
% 293.41/42.81 -> [4420] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.41/42.81 -> [4421] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.41/42.81
% 293.41/42.81 [4420] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.41/42.81 -> [4434] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81 -> [4435] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81
% 293.41/42.81 [4435] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [4503] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.81
% 293.41/42.81 [4503] 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))))
% 293.41/42.81 -> [4506] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [4507] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81
% 293.41/42.81 [4507] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [4510] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [4511] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [4510] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [4653] ~(left_apart_point(A39_49_9, L40_49_9) | left_apart_point(A39_49_9, reverse_line(L40_49_9)))
% 293.41/42.81
% 293.41/42.81 [4653] ALPHA_NOT_OR : ~(left_apart_point(A39_49_9, L40_49_9) | left_apart_point(A39_49_9, reverse_line(L40_49_9)))
% 293.41/42.81 -> [4654] ~left_apart_point(A39_49_9, L40_49_9), ~left_apart_point(A39_49_9, reverse_line(L40_49_9))
% 293.41/42.81
% 293.41/42.81 [4654] CLOSURE : ~left_apart_point(A39_49_9, L40_49_9)
% 293.41/42.81
% 293.41/42.81 [4511] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [4618] ~(left_apart_point(A39_46_9, L40_46_9) | left_apart_point(A39_46_9, reverse_line(L40_46_9)))
% 293.41/42.81
% 293.41/42.81 [4618] ALPHA_NOT_OR : ~(left_apart_point(A39_46_9, L40_46_9) | left_apart_point(A39_46_9, reverse_line(L40_46_9)))
% 293.41/42.81 -> [4619] ~left_apart_point(A39_46_9, L40_46_9), ~left_apart_point(A39_46_9, reverse_line(L40_46_9))
% 293.41/42.81
% 293.41/42.81 [4619] CLOSURE : ~left_apart_point(A39_46_9, L40_46_9)
% 293.41/42.81
% 293.41/42.81 [4506] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [4542] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [4543] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [4543] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [4542] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [4434] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [4532] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.81
% 293.41/42.81 [4532] 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))))
% 293.41/42.81 -> [4533] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [4534] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81
% 293.41/42.81 [4534] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [4537] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [4538] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [4538] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [4649] ~(left_apart_point(A39_48_9, L40_48_9) | left_apart_point(A39_48_9, reverse_line(L40_48_9)))
% 293.41/42.81
% 293.41/42.81 [4649] ALPHA_NOT_OR : ~(left_apart_point(A39_48_9, L40_48_9) | left_apart_point(A39_48_9, reverse_line(L40_48_9)))
% 293.41/42.81 -> [4650] ~left_apart_point(A39_48_9, L40_48_9), ~left_apart_point(A39_48_9, reverse_line(L40_48_9))
% 293.41/42.81
% 293.41/42.81 [4650] CLOSURE : ~left_apart_point(A39_48_9, L40_48_9)
% 293.41/42.81
% 293.41/42.81 [4537] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [4668] ~(left_apart_point(A39_51_9, L40_51_9) | left_apart_point(A39_51_9, reverse_line(L40_51_9)))
% 293.41/42.81
% 293.41/42.81 [4668] ALPHA_NOT_OR : ~(left_apart_point(A39_51_9, L40_51_9) | left_apart_point(A39_51_9, reverse_line(L40_51_9)))
% 293.41/42.81 -> [4669] ~left_apart_point(A39_51_9, L40_51_9), ~left_apart_point(A39_51_9, reverse_line(L40_51_9))
% 293.41/42.81
% 293.41/42.81 [4669] CLOSURE : ~left_apart_point(A39_51_9, L40_51_9)
% 293.41/42.81
% 293.41/42.81 [4533] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [4567] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [4568] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [4568] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [4567] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [4421] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.41/42.81 -> [4423] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81 -> [4424] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.41/42.81
% 293.41/42.81 [4423] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81
% 293.41/42.81 [4424] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [4512] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.81
% 293.41/42.81 [4512] 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))))
% 293.41/42.81 -> [4513] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [4514] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81
% 293.41/42.81 [4514] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [4516] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [4517] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [4517] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [4626] ~(left_apart_point(A39_47_9, L40_47_9) | left_apart_point(A39_47_9, reverse_line(L40_47_9)))
% 293.41/42.81
% 293.41/42.81 [4626] ALPHA_NOT_OR : ~(left_apart_point(A39_47_9, L40_47_9) | left_apart_point(A39_47_9, reverse_line(L40_47_9)))
% 293.41/42.81 -> [4627] ~left_apart_point(A39_47_9, L40_47_9), ~left_apart_point(A39_47_9, reverse_line(L40_47_9))
% 293.41/42.81
% 293.41/42.81 [4627] CLOSURE : ~left_apart_point(A39_47_9, L40_47_9)
% 293.41/42.81
% 293.41/42.81 [4516] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [4684] ~(left_apart_point(A39_52_9, L40_52_9) | left_apart_point(A39_52_9, reverse_line(L40_52_9)))
% 293.41/42.81
% 293.41/42.81 [4684] ALPHA_NOT_OR : ~(left_apart_point(A39_52_9, L40_52_9) | left_apart_point(A39_52_9, reverse_line(L40_52_9)))
% 293.41/42.81 -> [4685] ~left_apart_point(A39_52_9, L40_52_9), ~left_apart_point(A39_52_9, reverse_line(L40_52_9))
% 293.41/42.81
% 293.41/42.81 [4685] CLOSURE : ~left_apart_point(A39_52_9, L40_52_9)
% 293.41/42.81
% 293.41/42.81 [4513] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [4556] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [4557] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [4557] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [4556] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [719] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.41/42.81 -> [824] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.81
% 293.41/42.81 [824] 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))))
% 293.41/42.81 -> [871] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.41/42.81
% 293.41/42.81 [871] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.41/42.81 -> [873] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.81 -> [874] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.41/42.81
% 293.41/42.81 [873] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.81
% 293.41/42.81 [874] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.41/42.81 -> [3641] distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.81 -> [3642] distinct_points(skolem_C8282, skolem_B8181)
% 293.41/42.81
% 293.41/42.81 [3641] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.81
% 293.41/42.81 [3642] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.41/42.81 -> [5635] ~distinct_lines(N27_163_3, N27_163_3)
% 293.41/42.81
% 293.41/42.81 [5635] 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))))
% 293.41/42.81 -> [5692] (distinct_lines(N27_163_3, N27_163_3) => (distinct_lines(N27_163_3, N27_163_3) | distinct_lines(N27_163_3, N27_163_3)))
% 293.41/42.81
% 293.41/42.81 [5692] BETA_IMPLY : (distinct_lines(N27_163_3, N27_163_3) => (distinct_lines(N27_163_3, N27_163_3) | distinct_lines(N27_163_3, N27_163_3)))
% 293.41/42.81 -> [5693] ~distinct_lines(N27_163_3, N27_163_3)
% 293.41/42.81 -> [5694] (distinct_lines(N27_163_3, N27_163_3) | distinct_lines(N27_163_3, N27_163_3))
% 293.41/42.81
% 293.41/42.81 [5694] BETA_OR : (distinct_lines(N27_163_3, N27_163_3) | distinct_lines(N27_163_3, N27_163_3))
% 293.41/42.81 -> [5699] distinct_lines(N27_163_3, N27_163_3)
% 293.41/42.81 -> [5700] distinct_lines(N27_163_3, N27_163_3)
% 293.41/42.81
% 293.41/42.81 [5699] CLOSURE : distinct_lines(N27_163_3, N27_163_3)
% 293.41/42.81
% 293.41/42.81 [5700] CLOSURE : distinct_lines(N27_163_3, N27_163_3)
% 293.41/42.81
% 293.41/42.81 [5693] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.41/42.81 -> [5777] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [5777] 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))))
% 293.41/42.81 -> [5898] (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))))
% 293.41/42.81
% 293.41/42.81 [5898] 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))))
% 293.41/42.81 -> [5900] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [5901] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_C8282)))
% 293.41/42.81
% 293.41/42.81 [5900] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [5901] BETA_OR : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_C8282)))
% 293.41/42.81 -> [11669] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.41/42.81 -> [11670] unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_C8282))
% 293.41/42.81
% 293.41/42.81 [11669] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.41/42.81
% 293.41/42.81 [11670] 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))))))
% 293.41/42.81 -> [16755] ((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)))))
% 293.41/42.81
% 293.41/42.81 [16755] 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)))))
% 293.41/42.81 -> [16758] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.81 -> [16759] ((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))))
% 293.41/42.81
% 293.41/42.81 [16758] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.81 -> [16921] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.81 -> [16922] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.81
% 293.41/42.81 [16922] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.81
% 293.41/42.81 [16921] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.81
% 293.41/42.81 [16759] 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))))
% 293.41/42.81 -> [20594] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [20595] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.41/42.81
% 293.41/42.81 [20594] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [20607] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [20607] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [20600] 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)))))
% 293.41/42.81 -> [24086] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.41/42.81
% 293.41/42.81 [24086] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.41/42.81 -> [24088] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.41/42.81 -> [24089] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.41/42.81
% 293.41/42.81 [24088] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.41/42.81 -> [24102] ~line(skolem_M7878)
% 293.41/42.81 -> [24103] ~line(skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [24103] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [24133] ((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))))
% 293.41/42.81
% 293.41/42.81 [24133] 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))))
% 293.41/42.81 -> [24135] ~(unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [24136] (left_convergent_lines(skolem_N7979, skolem_M7878) | left_convergent_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.41/42.81
% 293.41/42.81 [24136] BETA_OR : (left_convergent_lines(skolem_N7979, skolem_M7878) | left_convergent_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [24142] left_convergent_lines(skolem_N7979, skolem_M7878)
% 293.41/42.81 -> [24143] left_convergent_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [24143] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [24175] ~(left_apart_point(A39_1988_9, L40_1988_9) | left_apart_point(A39_1988_9, reverse_line(L40_1988_9)))
% 293.41/42.81
% 293.41/42.81 [24175] ALPHA_NOT_OR : ~(left_apart_point(A39_1988_9, L40_1988_9) | left_apart_point(A39_1988_9, reverse_line(L40_1988_9)))
% 293.41/42.81 -> [24176] ~left_apart_point(A39_1988_9, L40_1988_9), ~left_apart_point(A39_1988_9, reverse_line(L40_1988_9))
% 293.41/42.81
% 293.41/42.81 [24176] CLOSURE : ~left_apart_point(A39_1988_9, L40_1988_9)
% 293.41/42.81
% 293.41/42.81 [24142] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [24188] ~(left_apart_point(A39_1989_9, L40_1989_9) | left_apart_point(A39_1989_9, reverse_line(L40_1989_9)))
% 293.41/42.81
% 293.41/42.81 [24188] ALPHA_NOT_OR : ~(left_apart_point(A39_1989_9, L40_1989_9) | left_apart_point(A39_1989_9, reverse_line(L40_1989_9)))
% 293.41/42.81 -> [24192] ~left_apart_point(A39_1989_9, L40_1989_9), ~left_apart_point(A39_1989_9, reverse_line(L40_1989_9))
% 293.41/42.81
% 293.41/42.81 [24192] CLOSURE : ~left_apart_point(A39_1989_9, L40_1989_9)
% 293.41/42.81
% 293.41/42.81 [24135] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [24151] ~unequally_directed_lines(skolem_N7979, skolem_M7878)
% 293.41/42.81 -> [24152] ~unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [24152] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [24151] CLOSURE : ~unequally_directed_lines(skolem_N7979, skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [24102] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [24153] ((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))))
% 293.41/42.81
% 293.41/42.81 [24153] 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))))
% 293.41/42.81 -> [24156] ~(unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [24157] (left_convergent_lines(skolem_N7979, skolem_M7878) | left_convergent_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.41/42.81
% 293.41/42.81 [24157] BETA_OR : (left_convergent_lines(skolem_N7979, skolem_M7878) | left_convergent_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [24162] left_convergent_lines(skolem_N7979, skolem_M7878)
% 293.41/42.81 -> [24163] left_convergent_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [24163] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [24237] ~(left_apart_point(A39_1997_9, L40_1997_9) | left_apart_point(A39_1997_9, reverse_line(L40_1997_9)))
% 293.41/42.81
% 293.41/42.81 [24237] ALPHA_NOT_OR : ~(left_apart_point(A39_1997_9, L40_1997_9) | left_apart_point(A39_1997_9, reverse_line(L40_1997_9)))
% 293.41/42.81 -> [24240] ~left_apart_point(A39_1997_9, L40_1997_9), ~left_apart_point(A39_1997_9, reverse_line(L40_1997_9))
% 293.41/42.81
% 293.41/42.81 [24240] CLOSURE : ~left_apart_point(A39_1997_9, L40_1997_9)
% 293.41/42.81
% 293.41/42.81 [24162] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [24247] ~(left_apart_point(A39_2001_9, L40_2001_9) | left_apart_point(A39_2001_9, reverse_line(L40_2001_9)))
% 293.41/42.81
% 293.41/42.81 [24247] ALPHA_NOT_OR : ~(left_apart_point(A39_2001_9, L40_2001_9) | left_apart_point(A39_2001_9, reverse_line(L40_2001_9)))
% 293.41/42.81 -> [24250] ~left_apart_point(A39_2001_9, L40_2001_9), ~left_apart_point(A39_2001_9, reverse_line(L40_2001_9))
% 293.41/42.81
% 293.41/42.81 [24250] CLOSURE : ~left_apart_point(A39_2001_9, L40_2001_9)
% 293.41/42.81
% 293.41/42.81 [24156] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [24173] ~unequally_directed_lines(skolem_N7979, skolem_M7878)
% 293.41/42.81 -> [24174] ~unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [24174] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [24173] CLOSURE : ~unequally_directed_lines(skolem_N7979, skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [24089] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [24095] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.81 -> [24096] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [24095] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [24096] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [24134] ((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))))
% 293.41/42.81
% 293.41/42.81 [24134] 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))))
% 293.41/42.81 -> [24137] ~(unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [24138] (left_convergent_lines(skolem_N7979, skolem_M7878) | left_convergent_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.41/42.81
% 293.41/42.81 [24138] BETA_OR : (left_convergent_lines(skolem_N7979, skolem_M7878) | left_convergent_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [24144] left_convergent_lines(skolem_N7979, skolem_M7878)
% 293.41/42.81 -> [24145] left_convergent_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [24145] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [24221] ~(left_apart_point(A39_1995_9, L40_1995_9) | left_apart_point(A39_1995_9, reverse_line(L40_1995_9)))
% 293.41/42.81
% 293.41/42.81 [24221] ALPHA_NOT_OR : ~(left_apart_point(A39_1995_9, L40_1995_9) | left_apart_point(A39_1995_9, reverse_line(L40_1995_9)))
% 293.41/42.81 -> [24226] ~left_apart_point(A39_1995_9, L40_1995_9), ~left_apart_point(A39_1995_9, reverse_line(L40_1995_9))
% 293.41/42.81
% 293.41/42.81 [24226] CLOSURE : ~left_apart_point(A39_1995_9, L40_1995_9)
% 293.41/42.81
% 293.41/42.81 [24144] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [24244] ~(left_apart_point(A39_1999_9, L40_1999_9) | left_apart_point(A39_1999_9, reverse_line(L40_1999_9)))
% 293.41/42.81
% 293.41/42.81 [24244] ALPHA_NOT_OR : ~(left_apart_point(A39_1999_9, L40_1999_9) | left_apart_point(A39_1999_9, reverse_line(L40_1999_9)))
% 293.41/42.81 -> [24245] ~left_apart_point(A39_1999_9, L40_1999_9), ~left_apart_point(A39_1999_9, reverse_line(L40_1999_9))
% 293.41/42.81
% 293.41/42.81 [24245] CLOSURE : ~left_apart_point(A39_1999_9, L40_1999_9)
% 293.41/42.81
% 293.41/42.81 [24137] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [24169] ~unequally_directed_lines(skolem_N7979, skolem_M7878)
% 293.41/42.81 -> [24170] ~unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [24170] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [24169] CLOSURE : ~unequally_directed_lines(skolem_N7979, skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [710] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.41/42.81 -> [732] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 293.41/42.81 -> [733] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.41/42.81
% 293.41/42.81 [732] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.41/42.81 -> [1728] ~distinct_points(skolem_C8282, skolem_C8282)
% 293.41/42.81
% 293.41/42.81 [1728] 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))))
% 293.41/42.81 -> [1797] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.41/42.81
% 293.41/42.81 [1797] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.41/42.81 -> [1799] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.81 -> [1800] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.41/42.81
% 293.41/42.81 [1799] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.81
% 293.41/42.81 [1800] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.41/42.81 -> [6648] distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.81 -> [6649] distinct_points(skolem_C8282, skolem_C8282)
% 293.41/42.81
% 293.41/42.81 [6649] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 293.41/42.81
% 293.41/42.81 [6648] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.41/42.81 -> [7045] ~distinct_lines(N27_229_3, N27_229_3)
% 293.41/42.81
% 293.41/42.81 [7045] 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))))
% 293.41/42.81 -> [7113] (distinct_lines(N27_229_3, N27_229_3) => (distinct_lines(N27_229_3, N27_229_3) | distinct_lines(N27_229_3, N27_229_3)))
% 293.41/42.81
% 293.41/42.81 [7113] BETA_IMPLY : (distinct_lines(N27_229_3, N27_229_3) => (distinct_lines(N27_229_3, N27_229_3) | distinct_lines(N27_229_3, N27_229_3)))
% 293.41/42.81 -> [7114] ~distinct_lines(N27_229_3, N27_229_3)
% 293.41/42.81 -> [7115] (distinct_lines(N27_229_3, N27_229_3) | distinct_lines(N27_229_3, N27_229_3))
% 293.41/42.81
% 293.41/42.81 [7115] BETA_OR : (distinct_lines(N27_229_3, N27_229_3) | distinct_lines(N27_229_3, N27_229_3))
% 293.41/42.81 -> [7116] distinct_lines(N27_229_3, N27_229_3)
% 293.41/42.81 -> [7117] distinct_lines(N27_229_3, N27_229_3)
% 293.41/42.81
% 293.41/42.81 [7116] CLOSURE : distinct_lines(N27_229_3, N27_229_3)
% 293.41/42.81
% 293.41/42.81 [7117] CLOSURE : distinct_lines(N27_229_3, N27_229_3)
% 293.41/42.81
% 293.41/42.81 [7114] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.41/42.81 -> [7244] ~unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81
% 293.41/42.81 [7244] 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))))
% 293.41/42.81 -> [7491] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.41/42.81
% 293.41/42.81 [7491] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.41/42.81 -> [7494] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81 -> [7495] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.41/42.81
% 293.41/42.81 [7494] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81
% 293.41/42.81 [7495] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.41/42.81 -> [8343] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81 -> [8344] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81
% 293.41/42.81 [8344] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81
% 293.41/42.81 [8343] 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))))))
% 293.41/42.81 -> [9034] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_92_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_92_6))) | (unequally_directed_lines(skolem_N7979, N34_92_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_92_6)))))
% 293.41/42.81
% 293.41/42.81 [9034] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_92_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_92_6))) | (unequally_directed_lines(skolem_N7979, N34_92_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_92_6)))))
% 293.41/42.81 -> [9035] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.81 -> [9036] ((unequally_directed_lines(skolem_M7878, N34_92_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_92_6))) | (unequally_directed_lines(skolem_N7979, N34_92_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_92_6))))
% 293.41/42.81
% 293.41/42.81 [9035] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.81 -> [9051] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.81 -> [9052] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.81
% 293.41/42.81 [9052] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.81
% 293.41/42.81 [9051] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.81
% 293.41/42.81 [9036] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_92_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_92_6))) | (unequally_directed_lines(skolem_N7979, N34_92_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_92_6))))
% 293.41/42.81 -> [20469] (unequally_directed_lines(skolem_M7878, N34_92_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_92_6)))
% 293.41/42.81 -> [20470] (unequally_directed_lines(skolem_N7979, N34_92_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_92_6)))
% 293.41/42.81
% 293.41/42.81 [20469] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_92_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_92_6)))
% 293.41/42.81 -> [20481] unequally_directed_lines(skolem_M7878, N34_92_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_92_6))
% 293.41/42.81
% 293.41/42.81 [20481] 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)))))
% 293.41/42.81 -> [20601] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))))
% 293.41/42.81
% 293.41/42.81 [20601] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))))
% 293.41/42.81 -> [20602] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.41/42.81 -> [20603] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.41/42.81
% 293.41/42.81 [20602] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.41/42.81 -> [20650] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81 -> [20651] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81
% 293.41/42.81 [20650] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [20898] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.81
% 293.41/42.81 [20898] 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))))
% 293.41/42.81 -> [20899] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [20900] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81
% 293.41/42.81 [20899] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [20973] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [20974] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [20974] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [20973] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [20900] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [20903] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [20904] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [20903] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [21402] ~(left_apart_point(A39_1576_9, L40_1576_9) | left_apart_point(A39_1576_9, reverse_line(L40_1576_9)))
% 293.41/42.81
% 293.41/42.81 [21402] ALPHA_NOT_OR : ~(left_apart_point(A39_1576_9, L40_1576_9) | left_apart_point(A39_1576_9, reverse_line(L40_1576_9)))
% 293.41/42.81 -> [21409] ~left_apart_point(A39_1576_9, L40_1576_9), ~left_apart_point(A39_1576_9, reverse_line(L40_1576_9))
% 293.41/42.81
% 293.41/42.81 [21409] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.41/42.81 -> [21458] ~(left_convergent_lines(L41_195_10, M42_195_10) | left_convergent_lines(L41_195_10, reverse_line(M42_195_10)))
% 293.41/42.81
% 293.41/42.81 [21458] ALPHA_NOT_OR : ~(left_convergent_lines(L41_195_10, M42_195_10) | left_convergent_lines(L41_195_10, reverse_line(M42_195_10)))
% 293.41/42.81 -> [21459] ~left_convergent_lines(L41_195_10, M42_195_10), ~left_convergent_lines(L41_195_10, reverse_line(M42_195_10))
% 293.41/42.81
% 293.41/42.81 [21459] CLOSURE : ~left_convergent_lines(L41_195_10, M42_195_10)
% 293.41/42.81
% 293.41/42.81 [20904] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [21413] ~(left_apart_point(A39_1577_9, L40_1577_9) | left_apart_point(A39_1577_9, reverse_line(L40_1577_9)))
% 293.41/42.81
% 293.41/42.81 [21413] ALPHA_NOT_OR : ~(left_apart_point(A39_1577_9, L40_1577_9) | left_apart_point(A39_1577_9, reverse_line(L40_1577_9)))
% 293.41/42.81 -> [21417] ~left_apart_point(A39_1577_9, L40_1577_9), ~left_apart_point(A39_1577_9, reverse_line(L40_1577_9))
% 293.41/42.81
% 293.41/42.81 [21417] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.41/42.81 -> [21463] ~(left_convergent_lines(L41_196_10, M42_196_10) | left_convergent_lines(L41_196_10, reverse_line(M42_196_10)))
% 293.41/42.81
% 293.41/42.81 [21463] ALPHA_NOT_OR : ~(left_convergent_lines(L41_196_10, M42_196_10) | left_convergent_lines(L41_196_10, reverse_line(M42_196_10)))
% 293.41/42.81 -> [21465] ~left_convergent_lines(L41_196_10, M42_196_10), ~left_convergent_lines(L41_196_10, reverse_line(M42_196_10))
% 293.41/42.81
% 293.41/42.81 [21465] CLOSURE : ~left_convergent_lines(L41_196_10, M42_196_10)
% 293.41/42.81
% 293.41/42.81 [20651] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [20790] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.81
% 293.41/42.81 [20790] 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))))
% 293.41/42.81 -> [20791] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [20792] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81
% 293.41/42.81 [20791] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [20912] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [20913] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [20913] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [20912] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [20792] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [20795] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [20796] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [20796] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [21104] ~(left_apart_point(A39_1538_9, L40_1538_9) | left_apart_point(A39_1538_9, reverse_line(L40_1538_9)))
% 293.41/42.81
% 293.41/42.81 [21104] ALPHA_NOT_OR : ~(left_apart_point(A39_1538_9, L40_1538_9) | left_apart_point(A39_1538_9, reverse_line(L40_1538_9)))
% 293.41/42.81 -> [21105] ~left_apart_point(A39_1538_9, L40_1538_9), ~left_apart_point(A39_1538_9, reverse_line(L40_1538_9))
% 293.41/42.81
% 293.41/42.81 [21105] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.41/42.81 -> [21502] ~(left_convergent_lines(L41_198_10, M42_198_10) | left_convergent_lines(L41_198_10, reverse_line(M42_198_10)))
% 293.41/42.81
% 293.41/42.81 [21502] ALPHA_NOT_OR : ~(left_convergent_lines(L41_198_10, M42_198_10) | left_convergent_lines(L41_198_10, reverse_line(M42_198_10)))
% 293.41/42.81 -> [21506] ~left_convergent_lines(L41_198_10, M42_198_10), ~left_convergent_lines(L41_198_10, reverse_line(M42_198_10))
% 293.41/42.81
% 293.41/42.81 [21506] CLOSURE : ~left_convergent_lines(L41_198_10, M42_198_10)
% 293.41/42.81
% 293.41/42.81 [20795] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [21423] ~(left_apart_point(A39_1580_9, L40_1580_9) | left_apart_point(A39_1580_9, reverse_line(L40_1580_9)))
% 293.41/42.81
% 293.41/42.81 [21423] ALPHA_NOT_OR : ~(left_apart_point(A39_1580_9, L40_1580_9) | left_apart_point(A39_1580_9, reverse_line(L40_1580_9)))
% 293.41/42.81 -> [21425] ~left_apart_point(A39_1580_9, L40_1580_9), ~left_apart_point(A39_1580_9, reverse_line(L40_1580_9))
% 293.41/42.81
% 293.41/42.81 [21425] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.41/42.81 -> [21519] ~(left_convergent_lines(L41_199_10, M42_199_10) | left_convergent_lines(L41_199_10, reverse_line(M42_199_10)))
% 293.41/42.81
% 293.41/42.81 [21519] ALPHA_NOT_OR : ~(left_convergent_lines(L41_199_10, M42_199_10) | left_convergent_lines(L41_199_10, reverse_line(M42_199_10)))
% 293.41/42.81 -> [21524] ~left_convergent_lines(L41_199_10, M42_199_10), ~left_convergent_lines(L41_199_10, reverse_line(M42_199_10))
% 293.41/42.81
% 293.41/42.81 [21524] CLOSURE : ~left_convergent_lines(L41_199_10, M42_199_10)
% 293.41/42.81
% 293.41/42.81 [20603] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.41/42.81 -> [20613] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81 -> [20614] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.41/42.81
% 293.41/42.81 [20613] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81
% 293.41/42.81 [20614] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [20801] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.81
% 293.41/42.81 [20801] 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))))
% 293.41/42.81 -> [20804] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [20805] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81
% 293.41/42.81 [20804] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [20923] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [20924] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [20924] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [20923] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [20805] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [20806] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [20807] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [20807] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [21113] ~(left_apart_point(A39_1541_9, L40_1541_9) | left_apart_point(A39_1541_9, reverse_line(L40_1541_9)))
% 293.41/42.81
% 293.41/42.81 [21113] ALPHA_NOT_OR : ~(left_apart_point(A39_1541_9, L40_1541_9) | left_apart_point(A39_1541_9, reverse_line(L40_1541_9)))
% 293.41/42.81 -> [21117] ~left_apart_point(A39_1541_9, L40_1541_9), ~left_apart_point(A39_1541_9, reverse_line(L40_1541_9))
% 293.41/42.81
% 293.41/42.81 [21117] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.41/42.81 -> [21529] ~(left_convergent_lines(L41_200_10, M42_200_10) | left_convergent_lines(L41_200_10, reverse_line(M42_200_10)))
% 293.41/42.81
% 293.41/42.81 [21529] ALPHA_NOT_OR : ~(left_convergent_lines(L41_200_10, M42_200_10) | left_convergent_lines(L41_200_10, reverse_line(M42_200_10)))
% 293.41/42.81 -> [21532] ~left_convergent_lines(L41_200_10, M42_200_10), ~left_convergent_lines(L41_200_10, reverse_line(M42_200_10))
% 293.41/42.81
% 293.41/42.81 [21532] CLOSURE : ~left_convergent_lines(L41_200_10, M42_200_10)
% 293.41/42.81
% 293.41/42.81 [20806] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [21430] ~(left_apart_point(A39_1583_9, L40_1583_9) | left_apart_point(A39_1583_9, reverse_line(L40_1583_9)))
% 293.41/42.81
% 293.41/42.81 [21430] ALPHA_NOT_OR : ~(left_apart_point(A39_1583_9, L40_1583_9) | left_apart_point(A39_1583_9, reverse_line(L40_1583_9)))
% 293.41/42.81 -> [21434] ~left_apart_point(A39_1583_9, L40_1583_9), ~left_apart_point(A39_1583_9, reverse_line(L40_1583_9))
% 293.41/42.81
% 293.41/42.81 [21434] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.41/42.81 -> [21542] ~(left_convergent_lines(L41_201_10, M42_201_10) | left_convergent_lines(L41_201_10, reverse_line(M42_201_10)))
% 293.41/42.81
% 293.41/42.81 [21542] ALPHA_NOT_OR : ~(left_convergent_lines(L41_201_10, M42_201_10) | left_convergent_lines(L41_201_10, reverse_line(M42_201_10)))
% 293.41/42.81 -> [21545] ~left_convergent_lines(L41_201_10, M42_201_10), ~left_convergent_lines(L41_201_10, reverse_line(M42_201_10))
% 293.41/42.81
% 293.41/42.81 [21545] CLOSURE : ~left_convergent_lines(L41_201_10, M42_201_10)
% 293.41/42.81
% 293.41/42.81 [20470] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_92_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_92_6)))
% 293.41/42.81 -> [20476] unequally_directed_lines(skolem_N7979, N34_92_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_92_6))
% 293.41/42.81
% 293.41/42.81 [20476] 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)))))
% 293.41/42.81 -> [20573] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))))
% 293.41/42.81
% 293.41/42.81 [20573] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))))
% 293.41/42.81 -> [20575] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.41/42.81 -> [20576] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.41/42.81
% 293.41/42.81 [20575] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.41/42.81 -> [20620] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81 -> [20621] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81
% 293.41/42.81 [20621] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [20829] ((unequally_directed_lines(skolem_N7979, M38_789_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_789_8))) => (left_convergent_lines(skolem_N7979, M38_789_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_789_8))))
% 293.41/42.81
% 293.41/42.81 [20829] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_789_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_789_8))) => (left_convergent_lines(skolem_N7979, M38_789_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_789_8))))
% 293.41/42.81 -> [20830] ~(unequally_directed_lines(skolem_N7979, M38_789_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_789_8)))
% 293.41/42.81 -> [20831] (left_convergent_lines(skolem_N7979, M38_789_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_789_8)))
% 293.41/42.81
% 293.41/42.81 [20830] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_789_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_789_8)))
% 293.41/42.81 -> [20943] ~unequally_directed_lines(skolem_N7979, M38_789_8)
% 293.41/42.81 -> [20944] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_789_8))
% 293.41/42.81
% 293.41/42.81 [20943] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_789_8)
% 293.41/42.81
% 293.41/42.81 [20944] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_789_8))
% 293.41/42.81
% 293.41/42.81 [20831] BETA_OR : (left_convergent_lines(skolem_N7979, M38_789_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_789_8)))
% 293.41/42.81 -> [20837] left_convergent_lines(skolem_N7979, M38_789_8)
% 293.41/42.81 -> [20838] left_convergent_lines(skolem_N7979, reverse_line(M38_789_8))
% 293.41/42.81
% 293.41/42.81 [20838] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [21133] ~(left_apart_point(A39_1543_9, L40_1543_9) | left_apart_point(A39_1543_9, reverse_line(L40_1543_9)))
% 293.41/42.81
% 293.41/42.81 [21133] ALPHA_NOT_OR : ~(left_apart_point(A39_1543_9, L40_1543_9) | left_apart_point(A39_1543_9, reverse_line(L40_1543_9)))
% 293.41/42.81 -> [21134] ~left_apart_point(A39_1543_9, L40_1543_9), ~left_apart_point(A39_1543_9, reverse_line(L40_1543_9))
% 293.41/42.81
% 293.41/42.81 [21134] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.41/42.81 -> [21711] ~(left_convergent_lines(L41_205_10, M42_205_10) | left_convergent_lines(L41_205_10, reverse_line(M42_205_10)))
% 293.41/42.81
% 293.41/42.81 [21711] ALPHA_NOT_OR : ~(left_convergent_lines(L41_205_10, M42_205_10) | left_convergent_lines(L41_205_10, reverse_line(M42_205_10)))
% 293.41/42.81 -> [21712] ~left_convergent_lines(L41_205_10, M42_205_10), ~left_convergent_lines(L41_205_10, reverse_line(M42_205_10))
% 293.41/42.81
% 293.41/42.81 [21712] CLOSURE : ~left_convergent_lines(L41_205_10, M42_205_10)
% 293.41/42.81
% 293.41/42.81 [20837] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [21568] ~(left_apart_point(A39_1606_9, L40_1606_9) | left_apart_point(A39_1606_9, reverse_line(L40_1606_9)))
% 293.41/42.81
% 293.41/42.81 [21568] ALPHA_NOT_OR : ~(left_apart_point(A39_1606_9, L40_1606_9) | left_apart_point(A39_1606_9, reverse_line(L40_1606_9)))
% 293.41/42.81 -> [21572] ~left_apart_point(A39_1606_9, L40_1606_9), ~left_apart_point(A39_1606_9, reverse_line(L40_1606_9))
% 293.41/42.81
% 293.41/42.81 [21572] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.41/42.81 -> [21739] ~(left_convergent_lines(L41_208_10, M42_208_10) | left_convergent_lines(L41_208_10, reverse_line(M42_208_10)))
% 293.41/42.81
% 293.41/42.81 [21739] ALPHA_NOT_OR : ~(left_convergent_lines(L41_208_10, M42_208_10) | left_convergent_lines(L41_208_10, reverse_line(M42_208_10)))
% 293.41/42.81 -> [21742] ~left_convergent_lines(L41_208_10, M42_208_10), ~left_convergent_lines(L41_208_10, reverse_line(M42_208_10))
% 293.41/42.81
% 293.41/42.81 [21742] CLOSURE : ~left_convergent_lines(L41_208_10, M42_208_10)
% 293.41/42.81
% 293.41/42.81 [20620] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [20812] ((unequally_directed_lines(skolem_N7979, M38_786_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_786_8))) => (left_convergent_lines(skolem_N7979, M38_786_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_786_8))))
% 293.41/42.81
% 293.41/42.81 [20812] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_786_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_786_8))) => (left_convergent_lines(skolem_N7979, M38_786_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_786_8))))
% 293.41/42.81 -> [20815] ~(unequally_directed_lines(skolem_N7979, M38_786_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_786_8)))
% 293.41/42.81 -> [20816] (left_convergent_lines(skolem_N7979, M38_786_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_786_8)))
% 293.41/42.81
% 293.41/42.81 [20815] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_786_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_786_8)))
% 293.41/42.81 -> [20935] ~unequally_directed_lines(skolem_N7979, M38_786_8)
% 293.41/42.81 -> [20936] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_786_8))
% 293.41/42.81
% 293.41/42.81 [20936] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_786_8))
% 293.41/42.81
% 293.41/42.81 [20935] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_786_8)
% 293.41/42.81
% 293.41/42.81 [20816] BETA_OR : (left_convergent_lines(skolem_N7979, M38_786_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_786_8)))
% 293.41/42.81 -> [20821] left_convergent_lines(skolem_N7979, M38_786_8)
% 293.41/42.81 -> [20822] left_convergent_lines(skolem_N7979, reverse_line(M38_786_8))
% 293.41/42.81
% 293.41/42.81 [20821] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [21454] ~(left_apart_point(A39_1589_9, L40_1589_9) | left_apart_point(A39_1589_9, reverse_line(L40_1589_9)))
% 293.41/42.81
% 293.41/42.81 [21454] ALPHA_NOT_OR : ~(left_apart_point(A39_1589_9, L40_1589_9) | left_apart_point(A39_1589_9, reverse_line(L40_1589_9)))
% 293.41/42.81 -> [21457] ~left_apart_point(A39_1589_9, L40_1589_9), ~left_apart_point(A39_1589_9, reverse_line(L40_1589_9))
% 293.41/42.81
% 293.41/42.81 [21457] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.41/42.81 -> [21705] ~(left_convergent_lines(L41_204_10, M42_204_10) | left_convergent_lines(L41_204_10, reverse_line(M42_204_10)))
% 293.41/42.81
% 293.41/42.81 [21705] ALPHA_NOT_OR : ~(left_convergent_lines(L41_204_10, M42_204_10) | left_convergent_lines(L41_204_10, reverse_line(M42_204_10)))
% 293.41/42.81 -> [21707] ~left_convergent_lines(L41_204_10, M42_204_10), ~left_convergent_lines(L41_204_10, reverse_line(M42_204_10))
% 293.41/42.81
% 293.41/42.81 [21707] CLOSURE : ~left_convergent_lines(L41_204_10, M42_204_10)
% 293.41/42.81
% 293.41/42.81 [20822] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [21482] ~(left_apart_point(A39_1594_9, L40_1594_9) | left_apart_point(A39_1594_9, reverse_line(L40_1594_9)))
% 293.41/42.81
% 293.41/42.81 [21482] ALPHA_NOT_OR : ~(left_apart_point(A39_1594_9, L40_1594_9) | left_apart_point(A39_1594_9, reverse_line(L40_1594_9)))
% 293.41/42.81 -> [21484] ~left_apart_point(A39_1594_9, L40_1594_9), ~left_apart_point(A39_1594_9, reverse_line(L40_1594_9))
% 293.41/42.81
% 293.41/42.81 [21484] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.41/42.81 -> [21993] ~(left_convergent_lines(L41_213_10, M42_213_10) | left_convergent_lines(L41_213_10, reverse_line(M42_213_10)))
% 293.41/42.81
% 293.41/42.81 [21993] ALPHA_NOT_OR : ~(left_convergent_lines(L41_213_10, M42_213_10) | left_convergent_lines(L41_213_10, reverse_line(M42_213_10)))
% 293.41/42.81 -> [21995] ~left_convergent_lines(L41_213_10, M42_213_10), ~left_convergent_lines(L41_213_10, reverse_line(M42_213_10))
% 293.41/42.81
% 293.41/42.81 [21995] CLOSURE : ~left_convergent_lines(L41_213_10, M42_213_10)
% 293.41/42.81
% 293.41/42.81 [20576] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.41/42.81 -> [20578] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81 -> [20579] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.41/42.81
% 293.41/42.81 [20579] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [20823] ((unequally_directed_lines(skolem_N7979, M38_787_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_787_8))) => (left_convergent_lines(skolem_N7979, M38_787_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_787_8))))
% 293.41/42.81
% 293.41/42.81 [20823] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_787_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_787_8))) => (left_convergent_lines(skolem_N7979, M38_787_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_787_8))))
% 293.41/42.81 -> [20825] ~(unequally_directed_lines(skolem_N7979, M38_787_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_787_8)))
% 293.41/42.81 -> [20826] (left_convergent_lines(skolem_N7979, M38_787_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_787_8)))
% 293.41/42.81
% 293.41/42.81 [20825] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_787_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_787_8)))
% 293.41/42.81 -> [20905] ~unequally_directed_lines(skolem_N7979, M38_787_8)
% 293.41/42.81 -> [20906] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_787_8))
% 293.41/42.81
% 293.41/42.81 [20906] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_787_8))
% 293.41/42.81
% 293.41/42.81 [20905] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_787_8)
% 293.41/42.81
% 293.41/42.81 [20826] BETA_OR : (left_convergent_lines(skolem_N7979, M38_787_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_787_8)))
% 293.41/42.81 -> [20832] left_convergent_lines(skolem_N7979, M38_787_8)
% 293.41/42.81 -> [20833] left_convergent_lines(skolem_N7979, reverse_line(M38_787_8))
% 293.41/42.81
% 293.41/42.81 [20832] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [21222] ~(left_apart_point(A39_1553_9, L40_1553_9) | left_apart_point(A39_1553_9, reverse_line(L40_1553_9)))
% 293.41/42.81
% 293.41/42.81 [21222] ALPHA_NOT_OR : ~(left_apart_point(A39_1553_9, L40_1553_9) | left_apart_point(A39_1553_9, reverse_line(L40_1553_9)))
% 293.41/42.81 -> [21223] ~left_apart_point(A39_1553_9, L40_1553_9), ~left_apart_point(A39_1553_9, reverse_line(L40_1553_9))
% 293.41/42.81
% 293.41/42.81 [21223] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.41/42.81 -> [21734] ~(left_convergent_lines(L41_207_10, M42_207_10) | left_convergent_lines(L41_207_10, reverse_line(M42_207_10)))
% 293.41/42.81
% 293.41/42.81 [21734] ALPHA_NOT_OR : ~(left_convergent_lines(L41_207_10, M42_207_10) | left_convergent_lines(L41_207_10, reverse_line(M42_207_10)))
% 293.41/42.81 -> [21736] ~left_convergent_lines(L41_207_10, M42_207_10), ~left_convergent_lines(L41_207_10, reverse_line(M42_207_10))
% 293.41/42.81
% 293.41/42.81 [21736] CLOSURE : ~left_convergent_lines(L41_207_10, M42_207_10)
% 293.41/42.81
% 293.41/42.81 [20833] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [21224] ~(left_apart_point(A39_1554_9, L40_1554_9) | left_apart_point(A39_1554_9, reverse_line(L40_1554_9)))
% 293.41/42.81
% 293.41/42.81 [21224] ALPHA_NOT_OR : ~(left_apart_point(A39_1554_9, L40_1554_9) | left_apart_point(A39_1554_9, reverse_line(L40_1554_9)))
% 293.41/42.81 -> [21225] ~left_apart_point(A39_1554_9, L40_1554_9), ~left_apart_point(A39_1554_9, reverse_line(L40_1554_9))
% 293.41/42.81
% 293.41/42.81 [21225] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.41/42.81 -> [21743] ~(left_convergent_lines(L41_209_10, M42_209_10) | left_convergent_lines(L41_209_10, reverse_line(M42_209_10)))
% 293.41/42.81
% 293.41/42.81 [21743] ALPHA_NOT_OR : ~(left_convergent_lines(L41_209_10, M42_209_10) | left_convergent_lines(L41_209_10, reverse_line(M42_209_10)))
% 293.41/42.81 -> [21745] ~left_convergent_lines(L41_209_10, M42_209_10), ~left_convergent_lines(L41_209_10, reverse_line(M42_209_10))
% 293.41/42.81
% 293.41/42.81 [21745] CLOSURE : ~left_convergent_lines(L41_209_10, M42_209_10)
% 293.41/42.81
% 293.41/42.81 [20578] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81
% 293.41/42.81 [733] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.41/42.81 -> [737] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.41/42.81
% 293.41/42.81 [737] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.41/42.81 -> [742] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.41/42.81 -> [743] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [743] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.41/42.81 -> [826] ~distinct_points(skolem_C8282, skolem_C8282)
% 293.41/42.81
% 293.41/42.81 [826] 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))))
% 293.41/42.81 -> [1831] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.41/42.81
% 293.41/42.81 [1831] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.41/42.81 -> [1834] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.81 -> [1835] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.41/42.81
% 293.41/42.81 [1834] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.81
% 293.41/42.81 [1835] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.41/42.81 -> [6023] distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.81 -> [6024] distinct_points(skolem_C8282, skolem_C8282)
% 293.41/42.81
% 293.41/42.81 [6024] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 293.41/42.81
% 293.41/42.81 [6023] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.41/42.81 -> [7120] ~distinct_lines(N27_236_3, N27_236_3)
% 293.41/42.81
% 293.41/42.81 [7120] 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))))
% 293.41/42.81 -> [7293] (distinct_lines(N27_236_3, N27_236_3) => (distinct_lines(N27_236_3, N27_236_3) | distinct_lines(N27_236_3, N27_236_3)))
% 293.41/42.81
% 293.41/42.81 [7293] BETA_IMPLY : (distinct_lines(N27_236_3, N27_236_3) => (distinct_lines(N27_236_3, N27_236_3) | distinct_lines(N27_236_3, N27_236_3)))
% 293.41/42.81 -> [7294] ~distinct_lines(N27_236_3, N27_236_3)
% 293.41/42.81 -> [7295] (distinct_lines(N27_236_3, N27_236_3) | distinct_lines(N27_236_3, N27_236_3))
% 293.41/42.81
% 293.41/42.81 [7295] BETA_OR : (distinct_lines(N27_236_3, N27_236_3) | distinct_lines(N27_236_3, N27_236_3))
% 293.41/42.81 -> [7301] distinct_lines(N27_236_3, N27_236_3)
% 293.41/42.81 -> [7302] distinct_lines(N27_236_3, N27_236_3)
% 293.41/42.81
% 293.41/42.81 [7301] CLOSURE : distinct_lines(N27_236_3, N27_236_3)
% 293.41/42.81
% 293.41/42.81 [7302] CLOSURE : distinct_lines(N27_236_3, N27_236_3)
% 293.41/42.81
% 293.41/42.81 [7294] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.41/42.81 -> [7525] ~unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81
% 293.41/42.81 [7525] 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))))
% 293.41/42.81 -> [7868] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.41/42.81
% 293.41/42.81 [7868] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.41/42.81 -> [7869] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81 -> [7870] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.41/42.81
% 293.41/42.81 [7869] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81
% 293.41/42.81 [7870] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.41/42.81 -> [14143] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81 -> [14144] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81
% 293.41/42.81 [14144] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81
% 293.41/42.81 [14143] 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))))))
% 293.41/42.81 -> [15431] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_213_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_213_6))) | (unequally_directed_lines(skolem_N7979, N34_213_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_213_6)))))
% 293.41/42.81
% 293.41/42.81 [15431] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_213_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_213_6))) | (unequally_directed_lines(skolem_N7979, N34_213_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_213_6)))))
% 293.41/42.81 -> [15434] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.81 -> [15435] ((unequally_directed_lines(skolem_M7878, N34_213_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_213_6))) | (unequally_directed_lines(skolem_N7979, N34_213_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_213_6))))
% 293.41/42.81
% 293.41/42.81 [15434] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.81 -> [15570] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.81 -> [15571] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.81
% 293.41/42.81 [15571] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.81
% 293.41/42.81 [15570] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.81
% 293.41/42.81 [15435] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_213_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_213_6))) | (unequally_directed_lines(skolem_N7979, N34_213_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_213_6))))
% 293.41/42.81 -> [21703] (unequally_directed_lines(skolem_M7878, N34_213_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_213_6)))
% 293.41/42.81 -> [21704] (unequally_directed_lines(skolem_N7979, N34_213_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_213_6)))
% 293.41/42.81
% 293.41/42.81 [21704] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_213_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_213_6)))
% 293.41/42.81 -> [21706] unequally_directed_lines(skolem_N7979, N34_213_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_213_6))
% 293.41/42.81
% 293.41/42.81 [21706] 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)))))
% 293.41/42.81 -> [21744] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))))
% 293.41/42.81
% 293.41/42.81 [21744] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))))
% 293.41/42.81 -> [21746] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.41/42.81 -> [21747] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.41/42.81
% 293.41/42.81 [21747] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.41/42.81 -> [21750] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81 -> [21751] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.41/42.81
% 293.41/42.81 [21750] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81
% 293.41/42.81 [21751] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [23109] ((unequally_directed_lines(skolem_N7979, M38_942_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_942_8))) => (left_convergent_lines(skolem_N7979, M38_942_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_942_8))))
% 293.41/42.81
% 293.41/42.81 [23109] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_942_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_942_8))) => (left_convergent_lines(skolem_N7979, M38_942_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_942_8))))
% 293.41/42.81 -> [23113] ~(unequally_directed_lines(skolem_N7979, M38_942_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_942_8)))
% 293.41/42.81 -> [23114] (left_convergent_lines(skolem_N7979, M38_942_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_942_8)))
% 293.41/42.81
% 293.41/42.81 [23114] BETA_OR : (left_convergent_lines(skolem_N7979, M38_942_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_942_8)))
% 293.41/42.81 -> [23124] left_convergent_lines(skolem_N7979, M38_942_8)
% 293.41/42.81 -> [23125] left_convergent_lines(skolem_N7979, reverse_line(M38_942_8))
% 293.41/42.81
% 293.41/42.81 [23125] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [23165] ~(left_apart_point(A39_1831_9, L40_1831_9) | left_apart_point(A39_1831_9, reverse_line(L40_1831_9)))
% 293.41/42.81
% 293.41/42.81 [23165] ALPHA_NOT_OR : ~(left_apart_point(A39_1831_9, L40_1831_9) | left_apart_point(A39_1831_9, reverse_line(L40_1831_9)))
% 293.41/42.81 -> [23166] ~left_apart_point(A39_1831_9, L40_1831_9), ~left_apart_point(A39_1831_9, reverse_line(L40_1831_9))
% 293.41/42.81
% 293.41/42.81 [23166] CLOSURE : ~left_apart_point(A39_1831_9, L40_1831_9)
% 293.41/42.81
% 293.41/42.81 [23124] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [23168] ~(left_apart_point(A39_1832_9, L40_1832_9) | left_apart_point(A39_1832_9, reverse_line(L40_1832_9)))
% 293.41/42.81
% 293.41/42.81 [23168] ALPHA_NOT_OR : ~(left_apart_point(A39_1832_9, L40_1832_9) | left_apart_point(A39_1832_9, reverse_line(L40_1832_9)))
% 293.41/42.81 -> [23169] ~left_apart_point(A39_1832_9, L40_1832_9), ~left_apart_point(A39_1832_9, reverse_line(L40_1832_9))
% 293.41/42.81
% 293.41/42.81 [23169] CLOSURE : ~left_apart_point(A39_1832_9, L40_1832_9)
% 293.41/42.81
% 293.41/42.81 [23113] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_942_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_942_8)))
% 293.41/42.81 -> [23127] ~unequally_directed_lines(skolem_N7979, M38_942_8)
% 293.41/42.81 -> [23128] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_942_8))
% 293.41/42.81
% 293.41/42.81 [23128] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_942_8))
% 293.41/42.81
% 293.41/42.81 [23127] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_942_8)
% 293.41/42.81
% 293.41/42.81 [21746] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.41/42.81 -> [21771] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81 -> [21772] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81
% 293.41/42.81 [21771] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [22929] ((unequally_directed_lines(skolem_N7979, M38_929_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_929_8))) => (left_convergent_lines(skolem_N7979, M38_929_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_929_8))))
% 293.41/42.81
% 293.41/42.81 [22929] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_929_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_929_8))) => (left_convergent_lines(skolem_N7979, M38_929_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_929_8))))
% 293.41/42.81 -> [22931] ~(unequally_directed_lines(skolem_N7979, M38_929_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_929_8)))
% 293.41/42.81 -> [22932] (left_convergent_lines(skolem_N7979, M38_929_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_929_8)))
% 293.41/42.81
% 293.41/42.81 [22931] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_929_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_929_8)))
% 293.41/42.81 -> [22955] ~unequally_directed_lines(skolem_N7979, M38_929_8)
% 293.41/42.81 -> [22956] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_929_8))
% 293.41/42.81
% 293.41/42.81 [22956] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_929_8))
% 293.41/42.81
% 293.41/42.81 [22955] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_929_8)
% 293.41/42.81
% 293.41/42.81 [22932] BETA_OR : (left_convergent_lines(skolem_N7979, M38_929_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_929_8)))
% 293.41/42.81 -> [22934] left_convergent_lines(skolem_N7979, M38_929_8)
% 293.41/42.81 -> [22935] left_convergent_lines(skolem_N7979, reverse_line(M38_929_8))
% 293.41/42.81
% 293.41/42.81 [22935] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [23116] ~(left_apart_point(A39_1820_9, L40_1820_9) | left_apart_point(A39_1820_9, reverse_line(L40_1820_9)))
% 293.41/42.81
% 293.41/42.81 [23116] ALPHA_NOT_OR : ~(left_apart_point(A39_1820_9, L40_1820_9) | left_apart_point(A39_1820_9, reverse_line(L40_1820_9)))
% 293.41/42.81 -> [23119] ~left_apart_point(A39_1820_9, L40_1820_9), ~left_apart_point(A39_1820_9, reverse_line(L40_1820_9))
% 293.41/42.81
% 293.41/42.81 [23119] CLOSURE : ~left_apart_point(A39_1820_9, L40_1820_9)
% 293.41/42.81
% 293.41/42.81 [22934] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [23172] ~(left_apart_point(A39_1833_9, L40_1833_9) | left_apart_point(A39_1833_9, reverse_line(L40_1833_9)))
% 293.41/42.81
% 293.41/42.81 [23172] ALPHA_NOT_OR : ~(left_apart_point(A39_1833_9, L40_1833_9) | left_apart_point(A39_1833_9, reverse_line(L40_1833_9)))
% 293.41/42.81 -> [23173] ~left_apart_point(A39_1833_9, L40_1833_9), ~left_apart_point(A39_1833_9, reverse_line(L40_1833_9))
% 293.41/42.81
% 293.41/42.81 [23173] CLOSURE : ~left_apart_point(A39_1833_9, L40_1833_9)
% 293.41/42.81
% 293.41/42.81 [21772] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [21822] ((unequally_directed_lines(skolem_N7979, M38_858_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_858_8))) => (left_convergent_lines(skolem_N7979, M38_858_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_858_8))))
% 293.41/42.81
% 293.41/42.81 [21822] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_858_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_858_8))) => (left_convergent_lines(skolem_N7979, M38_858_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_858_8))))
% 293.41/42.81 -> [21823] ~(unequally_directed_lines(skolem_N7979, M38_858_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_858_8)))
% 293.41/42.81 -> [21824] (left_convergent_lines(skolem_N7979, M38_858_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_858_8)))
% 293.41/42.81
% 293.41/42.81 [21823] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_858_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_858_8)))
% 293.41/42.81 -> [22975] ~unequally_directed_lines(skolem_N7979, M38_858_8)
% 293.41/42.81 -> [22976] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_858_8))
% 293.41/42.81
% 293.41/42.81 [22975] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_858_8)
% 293.41/42.81
% 293.41/42.81 [22976] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_858_8))
% 293.41/42.81
% 293.41/42.81 [21824] BETA_OR : (left_convergent_lines(skolem_N7979, M38_858_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_858_8)))
% 293.41/42.81 -> [21825] left_convergent_lines(skolem_N7979, M38_858_8)
% 293.41/42.81 -> [21826] left_convergent_lines(skolem_N7979, reverse_line(M38_858_8))
% 293.41/42.81
% 293.41/42.81 [21826] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [23239] ~(left_apart_point(A39_1845_9, L40_1845_9) | left_apart_point(A39_1845_9, reverse_line(L40_1845_9)))
% 293.41/42.81
% 293.41/42.81 [23239] ALPHA_NOT_OR : ~(left_apart_point(A39_1845_9, L40_1845_9) | left_apart_point(A39_1845_9, reverse_line(L40_1845_9)))
% 293.41/42.81 -> [23240] ~left_apart_point(A39_1845_9, L40_1845_9), ~left_apart_point(A39_1845_9, reverse_line(L40_1845_9))
% 293.41/42.81
% 293.41/42.81 [23240] CLOSURE : ~left_apart_point(A39_1845_9, L40_1845_9)
% 293.41/42.81
% 293.41/42.81 [21825] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [23280] ~(left_apart_point(A39_1852_9, L40_1852_9) | left_apart_point(A39_1852_9, reverse_line(L40_1852_9)))
% 293.41/42.81
% 293.41/42.81 [23280] ALPHA_NOT_OR : ~(left_apart_point(A39_1852_9, L40_1852_9) | left_apart_point(A39_1852_9, reverse_line(L40_1852_9)))
% 293.41/42.81 -> [23281] ~left_apart_point(A39_1852_9, L40_1852_9), ~left_apart_point(A39_1852_9, reverse_line(L40_1852_9))
% 293.41/42.81
% 293.41/42.81 [23281] CLOSURE : ~left_apart_point(A39_1852_9, L40_1852_9)
% 293.41/42.81
% 293.41/42.81 [21703] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_213_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_213_6)))
% 293.41/42.81 -> [21710] unequally_directed_lines(skolem_M7878, N34_213_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_213_6))
% 293.41/42.81
% 293.41/42.81 [21710] 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)))))
% 293.41/42.81 -> [21754] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))))
% 293.41/42.81
% 293.41/42.81 [21754] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))))
% 293.41/42.81 -> [21756] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.41/42.81 -> [21757] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.41/42.81
% 293.41/42.81 [21757] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.41/42.81 -> [21764] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81 -> [21765] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.41/42.81
% 293.41/42.81 [21764] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81
% 293.41/42.81 [21765] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [22883] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.81
% 293.41/42.81 [22883] 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))))
% 293.41/42.81 -> [22885] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [22886] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81
% 293.41/42.81 [22886] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [22889] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [22890] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [22890] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [22985] ~(left_apart_point(A39_1806_9, L40_1806_9) | left_apart_point(A39_1806_9, reverse_line(L40_1806_9)))
% 293.41/42.81
% 293.41/42.81 [22985] ALPHA_NOT_OR : ~(left_apart_point(A39_1806_9, L40_1806_9) | left_apart_point(A39_1806_9, reverse_line(L40_1806_9)))
% 293.41/42.81 -> [22990] ~left_apart_point(A39_1806_9, L40_1806_9), ~left_apart_point(A39_1806_9, reverse_line(L40_1806_9))
% 293.41/42.81
% 293.41/42.81 [22990] CLOSURE : ~left_apart_point(A39_1806_9, L40_1806_9)
% 293.41/42.81
% 293.41/42.81 [22889] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [23014] ~(left_apart_point(A39_1811_9, L40_1811_9) | left_apart_point(A39_1811_9, reverse_line(L40_1811_9)))
% 293.41/42.81
% 293.41/42.81 [23014] ALPHA_NOT_OR : ~(left_apart_point(A39_1811_9, L40_1811_9) | left_apart_point(A39_1811_9, reverse_line(L40_1811_9)))
% 293.41/42.81 -> [23017] ~left_apart_point(A39_1811_9, L40_1811_9), ~left_apart_point(A39_1811_9, reverse_line(L40_1811_9))
% 293.41/42.81
% 293.41/42.81 [23017] CLOSURE : ~left_apart_point(A39_1811_9, L40_1811_9)
% 293.41/42.81
% 293.41/42.81 [22885] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [22907] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [22908] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [22908] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [22907] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [21756] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.41/42.81 -> [21785] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81 -> [21786] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81
% 293.41/42.81 [21785] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [23194] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.81
% 293.41/42.81 [23194] 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))))
% 293.41/42.81 -> [23195] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [23196] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81
% 293.41/42.81 [23196] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [23199] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [23200] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [23200] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [23305] ~(left_apart_point(A39_1858_9, L40_1858_9) | left_apart_point(A39_1858_9, reverse_line(L40_1858_9)))
% 293.41/42.81
% 293.41/42.81 [23305] ALPHA_NOT_OR : ~(left_apart_point(A39_1858_9, L40_1858_9) | left_apart_point(A39_1858_9, reverse_line(L40_1858_9)))
% 293.41/42.81 -> [23308] ~left_apart_point(A39_1858_9, L40_1858_9), ~left_apart_point(A39_1858_9, reverse_line(L40_1858_9))
% 293.41/42.81
% 293.41/42.81 [23308] CLOSURE : ~left_apart_point(A39_1858_9, L40_1858_9)
% 293.41/42.81
% 293.41/42.81 [23199] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [23330] ~(left_apart_point(A39_1867_9, L40_1867_9) | left_apart_point(A39_1867_9, reverse_line(L40_1867_9)))
% 293.41/42.81
% 293.41/42.81 [23330] ALPHA_NOT_OR : ~(left_apart_point(A39_1867_9, L40_1867_9) | left_apart_point(A39_1867_9, reverse_line(L40_1867_9)))
% 293.41/42.81 -> [23331] ~left_apart_point(A39_1867_9, L40_1867_9), ~left_apart_point(A39_1867_9, reverse_line(L40_1867_9))
% 293.41/42.81
% 293.41/42.81 [23331] CLOSURE : ~left_apart_point(A39_1867_9, L40_1867_9)
% 293.41/42.81
% 293.41/42.81 [23195] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [23219] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [23220] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [23220] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [23219] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [21786] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [21834] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.81
% 293.41/42.81 [21834] 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))))
% 293.41/42.81 -> [21837] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [21838] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81
% 293.41/42.81 [21838] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [22806] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [22807] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [22807] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [22947] ~(left_apart_point(A39_1801_9, L40_1801_9) | left_apart_point(A39_1801_9, reverse_line(L40_1801_9)))
% 293.41/42.81
% 293.41/42.81 [22947] ALPHA_NOT_OR : ~(left_apart_point(A39_1801_9, L40_1801_9) | left_apart_point(A39_1801_9, reverse_line(L40_1801_9)))
% 293.41/42.81 -> [22951] ~left_apart_point(A39_1801_9, L40_1801_9), ~left_apart_point(A39_1801_9, reverse_line(L40_1801_9))
% 293.41/42.81
% 293.41/42.81 [22951] CLOSURE : ~left_apart_point(A39_1801_9, L40_1801_9)
% 293.41/42.81
% 293.41/42.81 [22806] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [23008] ~(left_apart_point(A39_1810_9, L40_1810_9) | left_apart_point(A39_1810_9, reverse_line(L40_1810_9)))
% 293.41/42.81
% 293.41/42.81 [23008] ALPHA_NOT_OR : ~(left_apart_point(A39_1810_9, L40_1810_9) | left_apart_point(A39_1810_9, reverse_line(L40_1810_9)))
% 293.41/42.81 -> [23010] ~left_apart_point(A39_1810_9, L40_1810_9), ~left_apart_point(A39_1810_9, reverse_line(L40_1810_9))
% 293.41/42.81
% 293.41/42.81 [23010] CLOSURE : ~left_apart_point(A39_1810_9, L40_1810_9)
% 293.41/42.81
% 293.41/42.81 [21837] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [23268] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [23269] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [23269] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [23268] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [742] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.41/42.81 -> [1195] ~distinct_points(skolem_C8282, skolem_C8282)
% 293.41/42.81
% 293.41/42.81 [1195] 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))))
% 293.41/42.81 -> [3986] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.41/42.81
% 293.41/42.81 [3986] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.41/42.81 -> [3987] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.81 -> [3988] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.41/42.81
% 293.41/42.81 [3987] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.81
% 293.41/42.81 [3988] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.41/42.81 -> [5505] distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.81 -> [5506] distinct_points(skolem_C8282, skolem_C8282)
% 293.41/42.81
% 293.41/42.81 [5506] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 293.41/42.81
% 293.41/42.81 [5505] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.41/42.81 -> [5832] ~distinct_lines(N27_170_3, N27_170_3)
% 293.41/42.81
% 293.41/42.81 [5832] 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))))
% 293.41/42.81 -> [5872] (distinct_lines(N27_170_3, N27_170_3) => (distinct_lines(N27_170_3, N27_170_3) | distinct_lines(N27_170_3, N27_170_3)))
% 293.41/42.81
% 293.41/42.81 [5872] BETA_IMPLY : (distinct_lines(N27_170_3, N27_170_3) => (distinct_lines(N27_170_3, N27_170_3) | distinct_lines(N27_170_3, N27_170_3)))
% 293.41/42.81 -> [5873] ~distinct_lines(N27_170_3, N27_170_3)
% 293.41/42.81 -> [5874] (distinct_lines(N27_170_3, N27_170_3) | distinct_lines(N27_170_3, N27_170_3))
% 293.41/42.81
% 293.41/42.81 [5874] BETA_OR : (distinct_lines(N27_170_3, N27_170_3) | distinct_lines(N27_170_3, N27_170_3))
% 293.41/42.81 -> [5875] distinct_lines(N27_170_3, N27_170_3)
% 293.41/42.81 -> [5876] distinct_lines(N27_170_3, N27_170_3)
% 293.41/42.81
% 293.41/42.81 [5875] CLOSURE : distinct_lines(N27_170_3, N27_170_3)
% 293.41/42.81
% 293.41/42.81 [5876] CLOSURE : distinct_lines(N27_170_3, N27_170_3)
% 293.41/42.81
% 293.41/42.81 [5873] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.41/42.81 -> [5941] ~unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81
% 293.41/42.81 [5941] 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))))
% 293.41/42.81 -> [5963] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.41/42.81
% 293.41/42.81 [5963] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.41/42.81 -> [5964] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81 -> [5965] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.41/42.81
% 293.41/42.81 [5964] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81
% 293.41/42.81 [5965] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.41/42.81 -> [8999] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81 -> [9000] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81
% 293.41/42.81 [9000] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81
% 293.41/42.81 [8999] 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))))))
% 293.41/42.81 -> [11965] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_165_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_165_6))) | (unequally_directed_lines(skolem_N7979, N34_165_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_165_6)))))
% 293.41/42.81
% 293.41/42.81 [11965] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_165_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_165_6))) | (unequally_directed_lines(skolem_N7979, N34_165_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_165_6)))))
% 293.41/42.81 -> [11968] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.81 -> [11969] ((unequally_directed_lines(skolem_M7878, N34_165_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_165_6))) | (unequally_directed_lines(skolem_N7979, N34_165_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_165_6))))
% 293.41/42.81
% 293.41/42.81 [11968] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.81 -> [11993] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.81 -> [11994] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.81
% 293.41/42.81 [11994] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.81
% 293.41/42.81 [11993] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.81
% 293.41/42.81 [11969] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_165_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_165_6))) | (unequally_directed_lines(skolem_N7979, N34_165_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_165_6))))
% 293.41/42.81 -> [20909] (unequally_directed_lines(skolem_M7878, N34_165_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_165_6)))
% 293.41/42.81 -> [20910] (unequally_directed_lines(skolem_N7979, N34_165_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_165_6)))
% 293.41/42.81
% 293.41/42.81 [20910] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_165_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_165_6)))
% 293.41/42.81 -> [20915] unequally_directed_lines(skolem_N7979, N34_165_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_165_6))
% 293.41/42.81
% 293.41/42.81 [20915] 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)))))
% 293.41/42.81 -> [21643] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))))
% 293.41/42.81
% 293.41/42.81 [21643] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))))
% 293.41/42.81 -> [21644] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.41/42.81 -> [21645] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.41/42.81
% 293.41/42.81 [21644] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.41/42.81 -> [21773] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81 -> [21774] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81
% 293.41/42.81 [21773] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [22076] ((unequally_directed_lines(skolem_N7979, M38_876_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_876_8))) => (left_convergent_lines(skolem_N7979, M38_876_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_876_8))))
% 293.41/42.81
% 293.41/42.81 [22076] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_876_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_876_8))) => (left_convergent_lines(skolem_N7979, M38_876_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_876_8))))
% 293.41/42.81 -> [22077] ~(unequally_directed_lines(skolem_N7979, M38_876_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_876_8)))
% 293.41/42.81 -> [22078] (left_convergent_lines(skolem_N7979, M38_876_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_876_8)))
% 293.41/42.81
% 293.41/42.81 [22077] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_876_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_876_8)))
% 293.41/42.81 -> [22159] ~unequally_directed_lines(skolem_N7979, M38_876_8)
% 293.41/42.81 -> [22160] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_876_8))
% 293.41/42.81
% 293.41/42.81 [22160] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_876_8))
% 293.41/42.81
% 293.41/42.81 [22159] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_876_8)
% 293.41/42.81
% 293.41/42.81 [22078] BETA_OR : (left_convergent_lines(skolem_N7979, M38_876_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_876_8)))
% 293.41/42.81 -> [22084] left_convergent_lines(skolem_N7979, M38_876_8)
% 293.41/42.81 -> [22085] left_convergent_lines(skolem_N7979, reverse_line(M38_876_8))
% 293.41/42.81
% 293.41/42.81 [22084] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [22483] ~(left_apart_point(A39_1749_9, L40_1749_9) | left_apart_point(A39_1749_9, reverse_line(L40_1749_9)))
% 293.41/42.81
% 293.41/42.81 [22483] ALPHA_NOT_OR : ~(left_apart_point(A39_1749_9, L40_1749_9) | left_apart_point(A39_1749_9, reverse_line(L40_1749_9)))
% 293.41/42.81 -> [22484] ~left_apart_point(A39_1749_9, L40_1749_9), ~left_apart_point(A39_1749_9, reverse_line(L40_1749_9))
% 293.41/42.81
% 293.41/42.81 [22484] CLOSURE : ~left_apart_point(A39_1749_9, L40_1749_9)
% 293.41/42.81
% 293.41/42.81 [22085] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [22489] ~(left_apart_point(A39_1751_9, L40_1751_9) | left_apart_point(A39_1751_9, reverse_line(L40_1751_9)))
% 293.41/42.81
% 293.41/42.81 [22489] ALPHA_NOT_OR : ~(left_apart_point(A39_1751_9, L40_1751_9) | left_apart_point(A39_1751_9, reverse_line(L40_1751_9)))
% 293.41/42.81 -> [22494] ~left_apart_point(A39_1751_9, L40_1751_9), ~left_apart_point(A39_1751_9, reverse_line(L40_1751_9))
% 293.41/42.81
% 293.41/42.81 [22494] CLOSURE : ~left_apart_point(A39_1751_9, L40_1751_9)
% 293.41/42.81
% 293.41/42.81 [21774] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [22000] ((unequally_directed_lines(skolem_N7979, M38_868_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_868_8))) => (left_convergent_lines(skolem_N7979, M38_868_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_868_8))))
% 293.41/42.81
% 293.41/42.81 [22000] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_868_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_868_8))) => (left_convergent_lines(skolem_N7979, M38_868_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_868_8))))
% 293.41/42.81 -> [22001] ~(unequally_directed_lines(skolem_N7979, M38_868_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_868_8)))
% 293.41/42.81 -> [22002] (left_convergent_lines(skolem_N7979, M38_868_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_868_8)))
% 293.41/42.81
% 293.41/42.81 [22001] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_868_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_868_8)))
% 293.41/42.81 -> [22093] ~unequally_directed_lines(skolem_N7979, M38_868_8)
% 293.41/42.81 -> [22094] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_868_8))
% 293.41/42.81
% 293.41/42.81 [22094] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_868_8))
% 293.41/42.81
% 293.41/42.81 [22093] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_868_8)
% 293.41/42.81
% 293.41/42.81 [22002] BETA_OR : (left_convergent_lines(skolem_N7979, M38_868_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_868_8)))
% 293.41/42.81 -> [22008] left_convergent_lines(skolem_N7979, M38_868_8)
% 293.41/42.81 -> [22009] left_convergent_lines(skolem_N7979, reverse_line(M38_868_8))
% 293.41/42.81
% 293.41/42.81 [22009] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [22421] ~(left_apart_point(A39_1740_9, L40_1740_9) | left_apart_point(A39_1740_9, reverse_line(L40_1740_9)))
% 293.41/42.81
% 293.41/42.81 [22421] ALPHA_NOT_OR : ~(left_apart_point(A39_1740_9, L40_1740_9) | left_apart_point(A39_1740_9, reverse_line(L40_1740_9)))
% 293.41/42.81 -> [22423] ~left_apart_point(A39_1740_9, L40_1740_9), ~left_apart_point(A39_1740_9, reverse_line(L40_1740_9))
% 293.41/42.81
% 293.41/42.81 [22423] CLOSURE : ~left_apart_point(A39_1740_9, L40_1740_9)
% 293.41/42.81
% 293.41/42.81 [22008] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [22501] ~(left_apart_point(A39_1753_9, L40_1753_9) | left_apart_point(A39_1753_9, reverse_line(L40_1753_9)))
% 293.41/42.81
% 293.41/42.81 [22501] ALPHA_NOT_OR : ~(left_apart_point(A39_1753_9, L40_1753_9) | left_apart_point(A39_1753_9, reverse_line(L40_1753_9)))
% 293.41/42.81 -> [22505] ~left_apart_point(A39_1753_9, L40_1753_9), ~left_apart_point(A39_1753_9, reverse_line(L40_1753_9))
% 293.41/42.81
% 293.41/42.81 [22505] CLOSURE : ~left_apart_point(A39_1753_9, L40_1753_9)
% 293.41/42.81
% 293.41/42.81 [21645] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.41/42.81 -> [21654] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81 -> [21655] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.41/42.81
% 293.41/42.81 [21654] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81
% 293.41/42.81 [21655] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [22013] ((unequally_directed_lines(skolem_N7979, M38_871_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_871_8))) => (left_convergent_lines(skolem_N7979, M38_871_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_871_8))))
% 293.41/42.81
% 293.41/42.81 [22013] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_871_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_871_8))) => (left_convergent_lines(skolem_N7979, M38_871_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_871_8))))
% 293.41/42.81 -> [22016] ~(unequally_directed_lines(skolem_N7979, M38_871_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_871_8)))
% 293.41/42.81 -> [22017] (left_convergent_lines(skolem_N7979, M38_871_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_871_8)))
% 293.41/42.81
% 293.41/42.81 [22017] BETA_OR : (left_convergent_lines(skolem_N7979, M38_871_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_871_8)))
% 293.41/42.81 -> [22021] left_convergent_lines(skolem_N7979, M38_871_8)
% 293.41/42.81 -> [22022] left_convergent_lines(skolem_N7979, reverse_line(M38_871_8))
% 293.41/42.81
% 293.41/42.81 [22022] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [22359] ~(left_apart_point(A39_1728_9, L40_1728_9) | left_apart_point(A39_1728_9, reverse_line(L40_1728_9)))
% 293.41/42.81
% 293.41/42.81 [22359] ALPHA_NOT_OR : ~(left_apart_point(A39_1728_9, L40_1728_9) | left_apart_point(A39_1728_9, reverse_line(L40_1728_9)))
% 293.41/42.81 -> [22365] ~left_apart_point(A39_1728_9, L40_1728_9), ~left_apart_point(A39_1728_9, reverse_line(L40_1728_9))
% 293.41/42.81
% 293.41/42.81 [22365] CLOSURE : ~left_apart_point(A39_1728_9, L40_1728_9)
% 293.41/42.81
% 293.41/42.81 [22021] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [22426] ~(left_apart_point(A39_1741_9, L40_1741_9) | left_apart_point(A39_1741_9, reverse_line(L40_1741_9)))
% 293.41/42.81
% 293.41/42.81 [22426] ALPHA_NOT_OR : ~(left_apart_point(A39_1741_9, L40_1741_9) | left_apart_point(A39_1741_9, reverse_line(L40_1741_9)))
% 293.41/42.81 -> [22427] ~left_apart_point(A39_1741_9, L40_1741_9), ~left_apart_point(A39_1741_9, reverse_line(L40_1741_9))
% 293.41/42.81
% 293.41/42.81 [22427] CLOSURE : ~left_apart_point(A39_1741_9, L40_1741_9)
% 293.41/42.81
% 293.41/42.81 [22016] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_871_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_871_8)))
% 293.41/42.81 -> [22099] ~unequally_directed_lines(skolem_N7979, M38_871_8)
% 293.41/42.81 -> [22100] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_871_8))
% 293.41/42.81
% 293.41/42.81 [22100] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_871_8))
% 293.41/42.81
% 293.41/42.81 [22099] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_871_8)
% 293.41/42.81
% 293.41/42.81 [20909] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_165_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_165_6)))
% 293.41/42.81 -> [20985] unequally_directed_lines(skolem_M7878, N34_165_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_165_6))
% 293.41/42.81
% 293.41/42.81 [20985] 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)))))
% 293.41/42.81 -> [21755] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))))
% 293.41/42.81
% 293.41/42.81 [21755] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))))
% 293.41/42.81 -> [21758] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.41/42.81 -> [21759] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.41/42.81
% 293.41/42.81 [21758] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.41/42.81 -> [21845] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81 -> [21846] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81
% 293.41/42.81 [21846] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [22056] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.81
% 293.41/42.81 [22056] 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))))
% 293.41/42.81 -> [22057] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [22058] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81
% 293.41/42.81 [22058] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [22060] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [22061] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [22061] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [22399] ~(left_apart_point(A39_1735_9, L40_1735_9) | left_apart_point(A39_1735_9, reverse_line(L40_1735_9)))
% 293.41/42.81
% 293.41/42.81 [22399] ALPHA_NOT_OR : ~(left_apart_point(A39_1735_9, L40_1735_9) | left_apart_point(A39_1735_9, reverse_line(L40_1735_9)))
% 293.41/42.81 -> [22402] ~left_apart_point(A39_1735_9, L40_1735_9), ~left_apart_point(A39_1735_9, reverse_line(L40_1735_9))
% 293.41/42.81
% 293.41/42.81 [22402] CLOSURE : ~left_apart_point(A39_1735_9, L40_1735_9)
% 293.41/42.81
% 293.41/42.81 [22060] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [22555] ~(left_apart_point(A39_1760_9, L40_1760_9) | left_apart_point(A39_1760_9, reverse_line(L40_1760_9)))
% 293.41/42.81
% 293.41/42.81 [22555] ALPHA_NOT_OR : ~(left_apart_point(A39_1760_9, L40_1760_9) | left_apart_point(A39_1760_9, reverse_line(L40_1760_9)))
% 293.41/42.81 -> [22560] ~left_apart_point(A39_1760_9, L40_1760_9), ~left_apart_point(A39_1760_9, reverse_line(L40_1760_9))
% 293.41/42.81
% 293.41/42.81 [22560] CLOSURE : ~left_apart_point(A39_1760_9, L40_1760_9)
% 293.41/42.81
% 293.41/42.81 [22057] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [22132] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [22133] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [22133] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [22132] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [21845] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [22214] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.81
% 293.41/42.81 [22214] 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))))
% 293.41/42.81 -> [22218] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [22219] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81
% 293.41/42.81 [22219] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [22221] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [22222] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [22222] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [22566] ~(left_apart_point(A39_1761_9, L40_1761_9) | left_apart_point(A39_1761_9, reverse_line(L40_1761_9)))
% 293.41/42.81
% 293.41/42.81 [22566] ALPHA_NOT_OR : ~(left_apart_point(A39_1761_9, L40_1761_9) | left_apart_point(A39_1761_9, reverse_line(L40_1761_9)))
% 293.41/42.81 -> [22567] ~left_apart_point(A39_1761_9, L40_1761_9), ~left_apart_point(A39_1761_9, reverse_line(L40_1761_9))
% 293.41/42.81
% 293.41/42.81 [22567] CLOSURE : ~left_apart_point(A39_1761_9, L40_1761_9)
% 293.41/42.81
% 293.41/42.81 [22221] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [22576] ~(left_apart_point(A39_1762_9, L40_1762_9) | left_apart_point(A39_1762_9, reverse_line(L40_1762_9)))
% 293.41/42.81
% 293.41/42.81 [22576] ALPHA_NOT_OR : ~(left_apart_point(A39_1762_9, L40_1762_9) | left_apart_point(A39_1762_9, reverse_line(L40_1762_9)))
% 293.41/42.81 -> [22577] ~left_apart_point(A39_1762_9, L40_1762_9), ~left_apart_point(A39_1762_9, reverse_line(L40_1762_9))
% 293.41/42.81
% 293.41/42.81 [22577] CLOSURE : ~left_apart_point(A39_1762_9, L40_1762_9)
% 293.41/42.81
% 293.41/42.81 [22218] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [22312] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [22313] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [22313] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [22312] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [21759] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.41/42.81 -> [21766] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81 -> [21767] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.41/42.81
% 293.41/42.81 [21766] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.81
% 293.41/42.81 [21767] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [22143] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.81
% 293.41/42.81 [22143] 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))))
% 293.41/42.81 -> [22144] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [22145] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81
% 293.41/42.81 [22145] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [22151] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [22152] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [22152] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [22473] ~(left_apart_point(A39_1748_9, L40_1748_9) | left_apart_point(A39_1748_9, reverse_line(L40_1748_9)))
% 293.41/42.81
% 293.41/42.81 [22473] ALPHA_NOT_OR : ~(left_apart_point(A39_1748_9, L40_1748_9) | left_apart_point(A39_1748_9, reverse_line(L40_1748_9)))
% 293.41/42.81 -> [22478] ~left_apart_point(A39_1748_9, L40_1748_9), ~left_apart_point(A39_1748_9, reverse_line(L40_1748_9))
% 293.41/42.81
% 293.41/42.81 [22478] CLOSURE : ~left_apart_point(A39_1748_9, L40_1748_9)
% 293.41/42.81
% 293.41/42.81 [22151] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [22578] ~(left_apart_point(A39_1763_9, L40_1763_9) | left_apart_point(A39_1763_9, reverse_line(L40_1763_9)))
% 293.41/42.81
% 293.41/42.81 [22578] ALPHA_NOT_OR : ~(left_apart_point(A39_1763_9, L40_1763_9) | left_apart_point(A39_1763_9, reverse_line(L40_1763_9)))
% 293.41/42.81 -> [22579] ~left_apart_point(A39_1763_9, L40_1763_9), ~left_apart_point(A39_1763_9, reverse_line(L40_1763_9))
% 293.41/42.81
% 293.41/42.81 [22579] CLOSURE : ~left_apart_point(A39_1763_9, L40_1763_9)
% 293.41/42.81
% 293.41/42.81 [22144] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [22232] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [22233] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [22232] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [22233] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [140] BETA_NOT_AND : ~(((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 293.41/42.81 -> [147] ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.41/42.81 -> [148] ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.41/42.81
% 293.41/42.81 [148] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.41/42.81 -> [149] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.41/42.81
% 293.41/42.81 [149] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.41/42.81 -> [174] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.41/42.81 -> [175] ~~(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)))
% 293.41/42.81
% 293.41/42.81 [175] 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)))
% 293.41/42.81 -> [188] (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)))
% 293.41/42.81
% 293.41/42.81 [188] 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)))
% 293.41/42.81 -> [191] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 293.41/42.81 -> [192] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [191] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.41/42.81 -> [1735] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.81
% 293.41/42.81 [1735] 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))))
% 293.41/42.81 -> [1844] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.41/42.81
% 293.41/42.81 [1844] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.41/42.81 -> [1845] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.81 -> [1846] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.41/42.81
% 293.41/42.81 [1845] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.81
% 293.41/42.81 [1846] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.41/42.81 -> [3075] distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.81 -> [3076] distinct_points(skolem_C8282, skolem_B8181)
% 293.41/42.81
% 293.41/42.81 [3075] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.81
% 293.41/42.81 [3076] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.41/42.81 -> [3126] ~distinct_lines(N27_39_3, N27_39_3)
% 293.41/42.81
% 293.41/42.81 [3126] 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))))
% 293.41/42.81 -> [3137] (distinct_lines(N27_39_3, N27_39_3) => (distinct_lines(N27_39_3, N27_39_3) | distinct_lines(N27_39_3, N27_39_3)))
% 293.41/42.81
% 293.41/42.81 [3137] 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)))
% 293.41/42.81 -> [3138] ~distinct_lines(N27_39_3, N27_39_3)
% 293.41/42.81 -> [3139] (distinct_lines(N27_39_3, N27_39_3) | distinct_lines(N27_39_3, N27_39_3))
% 293.41/42.81
% 293.41/42.81 [3139] BETA_OR : (distinct_lines(N27_39_3, N27_39_3) | distinct_lines(N27_39_3, N27_39_3))
% 293.41/42.81 -> [3142] distinct_lines(N27_39_3, N27_39_3)
% 293.41/42.81 -> [3143] distinct_lines(N27_39_3, N27_39_3)
% 293.41/42.81
% 293.41/42.81 [3143] CLOSURE : distinct_lines(N27_39_3, N27_39_3)
% 293.41/42.81
% 293.41/42.81 [3142] CLOSURE : distinct_lines(N27_39_3, N27_39_3)
% 293.41/42.81
% 293.41/42.81 [3138] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.41/42.81 -> [3153] ~unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.41/42.81
% 293.41/42.81 [3153] 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))))
% 293.41/42.81 -> [3227] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 293.41/42.81
% 293.41/42.81 [3227] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 293.41/42.81 -> [3229] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.41/42.81 -> [3230] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 293.41/42.81
% 293.41/42.81 [3229] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.41/42.81
% 293.41/42.81 [3230] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 293.41/42.81 -> [5626] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.41/42.81 -> [5627] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.41/42.81
% 293.41/42.81 [5627] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.41/42.81
% 293.41/42.81 [5626] 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))))))
% 293.41/42.81 -> [5902] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_32_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_32_6))) | (unequally_directed_lines(skolem_N7979, N34_32_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_32_6)))))
% 293.41/42.81
% 293.41/42.81 [5902] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_32_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_32_6))) | (unequally_directed_lines(skolem_N7979, N34_32_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_32_6)))))
% 293.41/42.81 -> [5906] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.81 -> [5907] ((unequally_directed_lines(skolem_M7878, N34_32_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_32_6))) | (unequally_directed_lines(skolem_N7979, N34_32_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_32_6))))
% 293.41/42.81
% 293.41/42.81 [5906] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.81 -> [5926] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.81 -> [5927] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.81
% 293.41/42.81 [5927] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.81
% 293.41/42.81 [5926] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.81
% 293.41/42.81 [5907] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_32_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_32_6))) | (unequally_directed_lines(skolem_N7979, N34_32_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_32_6))))
% 293.41/42.81 -> [9070] (unequally_directed_lines(skolem_M7878, N34_32_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_32_6)))
% 293.41/42.81 -> [9071] (unequally_directed_lines(skolem_N7979, N34_32_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_32_6)))
% 293.41/42.81
% 293.41/42.81 [9070] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_32_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_32_6)))
% 293.41/42.81 -> [9088] unequally_directed_lines(skolem_M7878, N34_32_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_32_6))
% 293.41/42.81
% 293.41/42.81 [9088] 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)))))
% 293.41/42.81 -> [9366] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))))
% 293.41/42.81
% 293.41/42.81 [9366] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))))
% 293.41/42.81 -> [9370] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 293.41/42.81 -> [9371] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 293.41/42.81
% 293.41/42.81 [9370] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 293.41/42.81 -> [9401] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.41/42.81 -> [9402] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.41/42.81
% 293.41/42.81 [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)))))
% 293.41/42.81 -> [9562] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.81
% 293.41/42.81 [9562] 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))))
% 293.41/42.81 -> [9563] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [9564] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81
% 293.41/42.81 [9564] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [9571] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [9572] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [9571] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [9904] ~(left_apart_point(A39_266_9, L40_266_9) | left_apart_point(A39_266_9, reverse_line(L40_266_9)))
% 293.41/42.81
% 293.41/42.81 [9904] ALPHA_NOT_OR : ~(left_apart_point(A39_266_9, L40_266_9) | left_apart_point(A39_266_9, reverse_line(L40_266_9)))
% 293.41/42.81 -> [9907] ~left_apart_point(A39_266_9, L40_266_9), ~left_apart_point(A39_266_9, reverse_line(L40_266_9))
% 293.41/42.81
% 293.41/42.81 [9907] CLOSURE : ~left_apart_point(A39_266_9, L40_266_9)
% 293.41/42.81
% 293.41/42.81 [9572] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [9908] ~(left_apart_point(A39_267_9, L40_267_9) | left_apart_point(A39_267_9, reverse_line(L40_267_9)))
% 293.41/42.81
% 293.41/42.81 [9908] ALPHA_NOT_OR : ~(left_apart_point(A39_267_9, L40_267_9) | left_apart_point(A39_267_9, reverse_line(L40_267_9)))
% 293.41/42.81 -> [9911] ~left_apart_point(A39_267_9, L40_267_9), ~left_apart_point(A39_267_9, reverse_line(L40_267_9))
% 293.41/42.81
% 293.41/42.81 [9911] CLOSURE : ~left_apart_point(A39_267_9, L40_267_9)
% 293.41/42.81
% 293.41/42.81 [9563] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [9663] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [9664] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [9664] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [9663] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [9402] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [9579] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.81
% 293.41/42.81 [9579] 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))))
% 293.41/42.81 -> [9582] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [9583] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81
% 293.41/42.81 [9583] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [9586] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [9587] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [9587] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [9857] ~(left_apart_point(A39_260_9, L40_260_9) | left_apart_point(A39_260_9, reverse_line(L40_260_9)))
% 293.41/42.81
% 293.41/42.81 [9857] ALPHA_NOT_OR : ~(left_apart_point(A39_260_9, L40_260_9) | left_apart_point(A39_260_9, reverse_line(L40_260_9)))
% 293.41/42.81 -> [9861] ~left_apart_point(A39_260_9, L40_260_9), ~left_apart_point(A39_260_9, reverse_line(L40_260_9))
% 293.41/42.81
% 293.41/42.81 [9861] CLOSURE : ~left_apart_point(A39_260_9, L40_260_9)
% 293.41/42.81
% 293.41/42.81 [9586] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [9916] ~(left_apart_point(A39_270_9, L40_270_9) | left_apart_point(A39_270_9, reverse_line(L40_270_9)))
% 293.41/42.81
% 293.41/42.81 [9916] ALPHA_NOT_OR : ~(left_apart_point(A39_270_9, L40_270_9) | left_apart_point(A39_270_9, reverse_line(L40_270_9)))
% 293.41/42.81 -> [9920] ~left_apart_point(A39_270_9, L40_270_9), ~left_apart_point(A39_270_9, reverse_line(L40_270_9))
% 293.41/42.81
% 293.41/42.81 [9920] CLOSURE : ~left_apart_point(A39_270_9, L40_270_9)
% 293.41/42.81
% 293.41/42.81 [9582] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [9672] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [9673] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [9673] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [9672] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [9371] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 293.41/42.81 -> [9379] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.41/42.81 -> [9380] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 293.41/42.81
% 293.41/42.81 [9379] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.41/42.81
% 293.41/42.81 [9380] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [9518] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.81
% 293.41/42.81 [9518] 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))))
% 293.41/42.81 -> [9520] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [9521] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81
% 293.41/42.81 [9521] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [9526] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [9527] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [9527] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [9868] ~(left_apart_point(A39_262_9, L40_262_9) | left_apart_point(A39_262_9, reverse_line(L40_262_9)))
% 293.41/42.81
% 293.41/42.81 [9868] ALPHA_NOT_OR : ~(left_apart_point(A39_262_9, L40_262_9) | left_apart_point(A39_262_9, reverse_line(L40_262_9)))
% 293.41/42.81 -> [9871] ~left_apart_point(A39_262_9, L40_262_9), ~left_apart_point(A39_262_9, reverse_line(L40_262_9))
% 293.41/42.81
% 293.41/42.81 [9871] CLOSURE : ~left_apart_point(A39_262_9, L40_262_9)
% 293.41/42.81
% 293.41/42.81 [9526] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [9874] ~(left_apart_point(A39_263_9, L40_263_9) | left_apart_point(A39_263_9, reverse_line(L40_263_9)))
% 293.41/42.81
% 293.41/42.81 [9874] ALPHA_NOT_OR : ~(left_apart_point(A39_263_9, L40_263_9) | left_apart_point(A39_263_9, reverse_line(L40_263_9)))
% 293.41/42.81 -> [9875] ~left_apart_point(A39_263_9, L40_263_9), ~left_apart_point(A39_263_9, reverse_line(L40_263_9))
% 293.41/42.81
% 293.41/42.81 [9875] CLOSURE : ~left_apart_point(A39_263_9, L40_263_9)
% 293.41/42.81
% 293.41/42.81 [9520] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [9595] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [9596] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [9596] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [9595] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [9071] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_32_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_32_6)))
% 293.41/42.81 -> [9075] unequally_directed_lines(skolem_N7979, N34_32_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_32_6))
% 293.41/42.81
% 293.41/42.81 [9075] 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)))))
% 293.41/42.81 -> [9411] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))))
% 293.41/42.81
% 293.41/42.81 [9411] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))))
% 293.41/42.81 -> [9412] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 293.41/42.81 -> [9413] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 293.41/42.81
% 293.41/42.81 [9413] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 293.41/42.81 -> [9417] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.41/42.81 -> [9418] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 293.41/42.81
% 293.41/42.81 [9417] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.41/42.81
% 293.41/42.81 [9418] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [9768] ((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))))
% 293.41/42.81
% 293.41/42.81 [9768] 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))))
% 293.41/42.81 -> [9770] ~(unequally_directed_lines(skolem_N7979, M38_148_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_148_8)))
% 293.41/42.81 -> [9771] (left_convergent_lines(skolem_N7979, M38_148_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_148_8)))
% 293.41/42.81
% 293.41/42.81 [9771] BETA_OR : (left_convergent_lines(skolem_N7979, M38_148_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_148_8)))
% 293.41/42.81 -> [9776] left_convergent_lines(skolem_N7979, M38_148_8)
% 293.41/42.81 -> [9777] left_convergent_lines(skolem_N7979, reverse_line(M38_148_8))
% 293.41/42.81
% 293.41/42.81 [9777] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [9842] ~(left_apart_point(A39_259_9, L40_259_9) | left_apart_point(A39_259_9, reverse_line(L40_259_9)))
% 293.41/42.81
% 293.41/42.81 [9842] ALPHA_NOT_OR : ~(left_apart_point(A39_259_9, L40_259_9) | left_apart_point(A39_259_9, reverse_line(L40_259_9)))
% 293.41/42.81 -> [9843] ~left_apart_point(A39_259_9, L40_259_9), ~left_apart_point(A39_259_9, reverse_line(L40_259_9))
% 293.41/42.81
% 293.41/42.81 [9843] CLOSURE : ~left_apart_point(A39_259_9, L40_259_9)
% 293.41/42.81
% 293.41/42.81 [9776] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [9860] ~(left_apart_point(A39_261_9, L40_261_9) | left_apart_point(A39_261_9, reverse_line(L40_261_9)))
% 293.41/42.81
% 293.41/42.81 [9860] ALPHA_NOT_OR : ~(left_apart_point(A39_261_9, L40_261_9) | left_apart_point(A39_261_9, reverse_line(L40_261_9)))
% 293.41/42.81 -> [9864] ~left_apart_point(A39_261_9, L40_261_9), ~left_apart_point(A39_261_9, reverse_line(L40_261_9))
% 293.41/42.81
% 293.41/42.81 [9864] CLOSURE : ~left_apart_point(A39_261_9, L40_261_9)
% 293.41/42.81
% 293.41/42.81 [9770] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_148_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_148_8)))
% 293.41/42.81 -> [9805] ~unequally_directed_lines(skolem_N7979, M38_148_8)
% 293.41/42.81 -> [9806] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_148_8))
% 293.41/42.81
% 293.41/42.81 [9806] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_148_8))
% 293.41/42.81
% 293.41/42.81 [9805] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_148_8)
% 293.41/42.81
% 293.41/42.81 [9412] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 293.41/42.81 -> [9445] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.41/42.81 -> [9446] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.41/42.81
% 293.41/42.81 [9446] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [9619] ((unequally_directed_lines(skolem_N7979, M38_139_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_139_8))) => (left_convergent_lines(skolem_N7979, M38_139_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_139_8))))
% 293.41/42.81
% 293.41/42.81 [9619] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_139_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_139_8))) => (left_convergent_lines(skolem_N7979, M38_139_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_139_8))))
% 293.41/42.81 -> [9622] ~(unequally_directed_lines(skolem_N7979, M38_139_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_139_8)))
% 293.41/42.81 -> [9623] (left_convergent_lines(skolem_N7979, M38_139_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_139_8)))
% 293.41/42.81
% 293.41/42.81 [9623] BETA_OR : (left_convergent_lines(skolem_N7979, M38_139_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_139_8)))
% 293.41/42.81 -> [9631] left_convergent_lines(skolem_N7979, M38_139_8)
% 293.41/42.81 -> [9632] left_convergent_lines(skolem_N7979, reverse_line(M38_139_8))
% 293.41/42.81
% 293.41/42.81 [9632] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [9900] ~(left_apart_point(A39_265_9, L40_265_9) | left_apart_point(A39_265_9, reverse_line(L40_265_9)))
% 293.41/42.81
% 293.41/42.81 [9900] ALPHA_NOT_OR : ~(left_apart_point(A39_265_9, L40_265_9) | left_apart_point(A39_265_9, reverse_line(L40_265_9)))
% 293.41/42.81 -> [9903] ~left_apart_point(A39_265_9, L40_265_9), ~left_apart_point(A39_265_9, reverse_line(L40_265_9))
% 293.41/42.81
% 293.41/42.81 [9903] CLOSURE : ~left_apart_point(A39_265_9, L40_265_9)
% 293.41/42.81
% 293.41/42.81 [9631] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [9936] ~(left_apart_point(A39_274_9, L40_274_9) | left_apart_point(A39_274_9, reverse_line(L40_274_9)))
% 293.41/42.81
% 293.41/42.81 [9936] ALPHA_NOT_OR : ~(left_apart_point(A39_274_9, L40_274_9) | left_apart_point(A39_274_9, reverse_line(L40_274_9)))
% 293.41/42.81 -> [9937] ~left_apart_point(A39_274_9, L40_274_9), ~left_apart_point(A39_274_9, reverse_line(L40_274_9))
% 293.41/42.81
% 293.41/42.81 [9937] CLOSURE : ~left_apart_point(A39_274_9, L40_274_9)
% 293.41/42.81
% 293.41/42.81 [9622] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_139_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_139_8)))
% 293.41/42.81 -> [9745] ~unequally_directed_lines(skolem_N7979, M38_139_8)
% 293.41/42.81 -> [9746] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_139_8))
% 293.41/42.81
% 293.41/42.81 [9746] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_139_8))
% 293.41/42.81
% 293.41/42.81 [9745] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_139_8)
% 293.41/42.81
% 293.41/42.81 [9445] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [9733] ((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))))
% 293.41/42.81
% 293.41/42.81 [9733] 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))))
% 293.41/42.81 -> [9735] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.81 -> [9736] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.81
% 293.41/42.81 [9736] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.81 -> [9739] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.41/42.81 -> [9740] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.81
% 293.41/42.81 [9740] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [9932] ~(left_apart_point(A39_273_9, L40_273_9) | left_apart_point(A39_273_9, reverse_line(L40_273_9)))
% 293.41/42.81
% 293.41/42.81 [9932] ALPHA_NOT_OR : ~(left_apart_point(A39_273_9, L40_273_9) | left_apart_point(A39_273_9, reverse_line(L40_273_9)))
% 293.41/42.81 -> [9935] ~left_apart_point(A39_273_9, L40_273_9), ~left_apart_point(A39_273_9, reverse_line(L40_273_9))
% 293.41/42.81
% 293.41/42.81 [9935] CLOSURE : ~left_apart_point(A39_273_9, L40_273_9)
% 293.41/42.81
% 293.41/42.81 [9739] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [9992] ~(left_apart_point(A39_285_9, L40_285_9) | left_apart_point(A39_285_9, reverse_line(L40_285_9)))
% 293.41/42.81
% 293.41/42.81 [9992] ALPHA_NOT_OR : ~(left_apart_point(A39_285_9, L40_285_9) | left_apart_point(A39_285_9, reverse_line(L40_285_9)))
% 293.41/42.81 -> [9993] ~left_apart_point(A39_285_9, L40_285_9), ~left_apart_point(A39_285_9, reverse_line(L40_285_9))
% 293.41/42.81
% 293.41/42.81 [9993] CLOSURE : ~left_apart_point(A39_285_9, L40_285_9)
% 293.41/42.81
% 293.41/42.81 [9735] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.81 -> [9792] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.81 -> [9793] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.81
% 293.41/42.81 [9793] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.81
% 293.41/42.81 [9792] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.81
% 293.41/42.81 [192] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.41/42.81 -> [521] ~distinct_points(skolem_C8282, skolem_C8282)
% 293.41/42.81
% 293.41/42.81 [521] 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))))
% 293.41/42.81 -> [646] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.41/42.81
% 293.41/42.81 [646] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.41/42.81 -> [649] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.81 -> [650] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.41/42.81
% 293.41/42.81 [649] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.81
% 293.41/42.81 [650] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.41/42.81 -> [5982] distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.81 -> [5983] distinct_points(skolem_C8282, skolem_C8282)
% 293.41/42.81
% 293.41/42.81 [5983] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 293.41/42.81
% 293.41/42.81 [5982] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.41/42.81 -> [6514] ~distinct_lines(N27_215_3, N27_215_3)
% 293.41/42.81
% 293.41/42.81 [6514] 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))))
% 293.41/42.81 -> [6790] (distinct_lines(N27_215_3, N27_215_3) => (distinct_lines(N27_215_3, N27_215_3) | distinct_lines(N27_215_3, N27_215_3)))
% 293.41/42.81
% 293.41/42.81 [6790] BETA_IMPLY : (distinct_lines(N27_215_3, N27_215_3) => (distinct_lines(N27_215_3, N27_215_3) | distinct_lines(N27_215_3, N27_215_3)))
% 293.41/42.81 -> [6794] ~distinct_lines(N27_215_3, N27_215_3)
% 293.41/42.81 -> [6795] (distinct_lines(N27_215_3, N27_215_3) | distinct_lines(N27_215_3, N27_215_3))
% 293.41/42.81
% 293.41/42.81 [6795] BETA_OR : (distinct_lines(N27_215_3, N27_215_3) | distinct_lines(N27_215_3, N27_215_3))
% 293.41/42.81 -> [6800] distinct_lines(N27_215_3, N27_215_3)
% 293.41/42.81 -> [6801] distinct_lines(N27_215_3, N27_215_3)
% 293.41/42.81
% 293.41/42.81 [6801] CLOSURE : distinct_lines(N27_215_3, N27_215_3)
% 293.41/42.81
% 293.41/42.81 [6800] CLOSURE : distinct_lines(N27_215_3, N27_215_3)
% 293.41/42.81
% 293.41/42.81 [6794] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.41/42.81 -> [6983] ~unequally_directed_lines(skolem_N7979, skolem_N7979)
% 293.41/42.81
% 293.41/42.81 [6983] 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))))
% 293.41/42.81 -> [7061] (unequally_directed_lines(skolem_M7878, skolem_N7979) => (unequally_directed_lines(skolem_M7878, skolem_N7979) | unequally_directed_lines(skolem_N7979, skolem_N7979)))
% 293.41/42.81
% 293.41/42.81 [7061] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, skolem_N7979) => (unequally_directed_lines(skolem_M7878, skolem_N7979) | unequally_directed_lines(skolem_N7979, skolem_N7979)))
% 293.41/42.81 -> [7062] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.81 -> [7063] (unequally_directed_lines(skolem_M7878, skolem_N7979) | unequally_directed_lines(skolem_N7979, skolem_N7979))
% 293.41/42.81
% 293.41/42.81 [7062] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.81
% 293.41/42.81 [7063] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_N7979) | unequally_directed_lines(skolem_N7979, skolem_N7979))
% 293.41/42.81 -> [10580] unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.81 -> [10581] unequally_directed_lines(skolem_N7979, skolem_N7979)
% 293.41/42.81
% 293.41/42.81 [10581] CLOSURE : unequally_directed_lines(skolem_N7979, skolem_N7979)
% 293.41/42.81
% 293.41/42.81 [10580] 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))))))
% 293.41/42.81 -> [10590] ((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)))))
% 293.41/42.81
% 293.41/42.81 [10590] 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)))))
% 293.41/42.81 -> [10593] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.81 -> [10594] ((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))))
% 293.41/42.81
% 293.41/42.81 [10593] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.81 -> [10607] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.81 -> [10608] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.81
% 293.41/42.81 [10607] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.81
% 293.41/42.81 [10608] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.81
% 293.41/42.81 [10594] 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))))
% 293.41/42.81 -> [10724] (unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.81 -> [10725] (unequally_directed_lines(skolem_N7979, skolem_N7979) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979)))
% 293.41/42.81
% 293.41/42.81 [10725] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_N7979) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979)))
% 293.41/42.81 -> [10730] unequally_directed_lines(skolem_N7979, skolem_N7979), unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979))
% 293.41/42.81
% 293.41/42.81 [10730] CLOSURE : unequally_directed_lines(skolem_N7979, skolem_N7979)
% 293.41/42.81
% 293.41/42.81 [10724] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.81 -> [10737] unequally_directed_lines(skolem_M7878, skolem_N7979), unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.81
% 293.41/42.81 [10737] 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)))))
% 293.41/42.81 -> [10788] ((line(skolem_N7979) & line(skolem_N7979)) => (unequally_directed_lines(skolem_N7979, skolem_N7979) | unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979))))
% 293.41/42.81
% 293.41/42.81 [10788] BETA_IMPLY : ((line(skolem_N7979) & line(skolem_N7979)) => (unequally_directed_lines(skolem_N7979, skolem_N7979) | unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979))))
% 293.41/42.81 -> [10791] ~(line(skolem_N7979) & line(skolem_N7979))
% 293.41/42.81 -> [10792] (unequally_directed_lines(skolem_N7979, skolem_N7979) | unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979)))
% 293.41/42.81
% 293.41/42.81 [10792] BETA_OR : (unequally_directed_lines(skolem_N7979, skolem_N7979) | unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979)))
% 293.41/42.81 -> [10794] unequally_directed_lines(skolem_N7979, skolem_N7979)
% 293.41/42.81 -> [10795] unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979))
% 293.41/42.81
% 293.41/42.81 [10794] CLOSURE : unequally_directed_lines(skolem_N7979, skolem_N7979)
% 293.41/42.81
% 293.41/42.81 [10795] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [10871] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.81
% 293.41/42.81 [10871] 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))))
% 293.41/42.81 -> [10872] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [10873] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81
% 293.41/42.81 [10873] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [10875] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [10876] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [10875] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [10999] ~(left_apart_point(A39_389_9, L40_389_9) | left_apart_point(A39_389_9, reverse_line(L40_389_9)))
% 293.41/42.81
% 293.41/42.81 [10999] ALPHA_NOT_OR : ~(left_apart_point(A39_389_9, L40_389_9) | left_apart_point(A39_389_9, reverse_line(L40_389_9)))
% 293.41/42.81 -> [11000] ~left_apart_point(A39_389_9, L40_389_9), ~left_apart_point(A39_389_9, reverse_line(L40_389_9))
% 293.41/42.81
% 293.41/42.81 [11000] CLOSURE : ~left_apart_point(A39_389_9, L40_389_9)
% 293.41/42.81
% 293.41/42.81 [10876] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [11005] ~(left_apart_point(A39_390_9, L40_390_9) | left_apart_point(A39_390_9, reverse_line(L40_390_9)))
% 293.41/42.81
% 293.41/42.81 [11005] ALPHA_NOT_OR : ~(left_apart_point(A39_390_9, L40_390_9) | left_apart_point(A39_390_9, reverse_line(L40_390_9)))
% 293.41/42.81 -> [11006] ~left_apart_point(A39_390_9, L40_390_9), ~left_apart_point(A39_390_9, reverse_line(L40_390_9))
% 293.41/42.81
% 293.41/42.81 [11006] CLOSURE : ~left_apart_point(A39_390_9, L40_390_9)
% 293.41/42.81
% 293.41/42.81 [10872] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [10885] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [10886] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [10886] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [10885] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [10791] BETA_NOT_AND : ~(line(skolem_N7979) & line(skolem_N7979))
% 293.41/42.81 -> [11095] ~line(skolem_N7979)
% 293.41/42.81 -> [11096] ~line(skolem_N7979)
% 293.41/42.81
% 293.41/42.81 [11096] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [11196] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.81
% 293.41/42.81 [11196] 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))))
% 293.41/42.81 -> [11197] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [11198] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81
% 293.41/42.81 [11198] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [11201] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [11202] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [11202] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [11353] ~(left_apart_point(A39_416_9, L40_416_9) | left_apart_point(A39_416_9, reverse_line(L40_416_9)))
% 293.41/42.81
% 293.41/42.81 [11353] ALPHA_NOT_OR : ~(left_apart_point(A39_416_9, L40_416_9) | left_apart_point(A39_416_9, reverse_line(L40_416_9)))
% 293.41/42.81 -> [11354] ~left_apart_point(A39_416_9, L40_416_9), ~left_apart_point(A39_416_9, reverse_line(L40_416_9))
% 293.41/42.81
% 293.41/42.81 [11354] CLOSURE : ~left_apart_point(A39_416_9, L40_416_9)
% 293.41/42.81
% 293.41/42.81 [11201] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [11370] ~(left_apart_point(A39_420_9, L40_420_9) | left_apart_point(A39_420_9, reverse_line(L40_420_9)))
% 293.41/42.81
% 293.41/42.81 [11370] ALPHA_NOT_OR : ~(left_apart_point(A39_420_9, L40_420_9) | left_apart_point(A39_420_9, reverse_line(L40_420_9)))
% 293.41/42.81 -> [11371] ~left_apart_point(A39_420_9, L40_420_9), ~left_apart_point(A39_420_9, reverse_line(L40_420_9))
% 293.41/42.81
% 293.41/42.81 [11371] CLOSURE : ~left_apart_point(A39_420_9, L40_420_9)
% 293.41/42.81
% 293.41/42.81 [11197] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [11240] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [11241] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [11240] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [11241] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [11095] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [11231] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.81
% 293.41/42.81 [11231] 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))))
% 293.41/42.81 -> [11232] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [11233] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81
% 293.41/42.81 [11232] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [11290] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [11291] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [11291] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [11290] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [11233] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [11234] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [11235] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [11234] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [11424] ~(left_apart_point(A39_423_9, L40_423_9) | left_apart_point(A39_423_9, reverse_line(L40_423_9)))
% 293.41/42.81
% 293.41/42.81 [11424] ALPHA_NOT_OR : ~(left_apart_point(A39_423_9, L40_423_9) | left_apart_point(A39_423_9, reverse_line(L40_423_9)))
% 293.41/42.81 -> [11429] ~left_apart_point(A39_423_9, L40_423_9), ~left_apart_point(A39_423_9, reverse_line(L40_423_9))
% 293.41/42.81
% 293.41/42.81 [11429] CLOSURE : ~left_apart_point(A39_423_9, L40_423_9)
% 293.41/42.81
% 293.41/42.81 [11235] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [12046] ~(left_apart_point(A39_488_9, L40_488_9) | left_apart_point(A39_488_9, reverse_line(L40_488_9)))
% 293.41/42.81
% 293.41/42.81 [12046] ALPHA_NOT_OR : ~(left_apart_point(A39_488_9, L40_488_9) | left_apart_point(A39_488_9, reverse_line(L40_488_9)))
% 293.41/42.81 -> [12050] ~left_apart_point(A39_488_9, L40_488_9), ~left_apart_point(A39_488_9, reverse_line(L40_488_9))
% 293.41/42.81
% 293.41/42.81 [12050] CLOSURE : ~left_apart_point(A39_488_9, L40_488_9)
% 293.41/42.81
% 293.41/42.81 [174] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.41/42.81 -> [210] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))
% 293.41/42.81 -> [211] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.41/42.81
% 293.41/42.81 [211] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.41/42.81 -> [712] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.41/42.81
% 293.41/42.81 [712] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.41/42.81 -> [717] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.41/42.81 -> [718] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [717] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.41/42.81 -> [2718] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.81
% 293.41/42.81 [2718] 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))))
% 293.41/42.81 -> [2727] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.41/42.81
% 293.41/42.81 [2727] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.41/42.81 -> [2730] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.81 -> [2731] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.41/42.81
% 293.41/42.81 [2730] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.81
% 293.41/42.81 [2731] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.41/42.81 -> [3100] distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.81 -> [3101] distinct_points(skolem_C8282, skolem_B8181)
% 293.41/42.81
% 293.41/42.81 [3100] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.81
% 293.41/42.81 [3101] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.41/42.81 -> [3422] ~distinct_lines(N27_57_3, N27_57_3)
% 293.41/42.81
% 293.41/42.81 [3422] 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))))
% 293.41/42.81 -> [3452] (distinct_lines(N27_57_3, N27_57_3) => (distinct_lines(N27_57_3, N27_57_3) | distinct_lines(N27_57_3, N27_57_3)))
% 293.41/42.81
% 293.41/42.81 [3452] 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)))
% 293.41/42.81 -> [3454] ~distinct_lines(N27_57_3, N27_57_3)
% 293.41/42.81 -> [3455] (distinct_lines(N27_57_3, N27_57_3) | distinct_lines(N27_57_3, N27_57_3))
% 293.41/42.81
% 293.41/42.81 [3455] BETA_OR : (distinct_lines(N27_57_3, N27_57_3) | distinct_lines(N27_57_3, N27_57_3))
% 293.41/42.81 -> [3458] distinct_lines(N27_57_3, N27_57_3)
% 293.41/42.81 -> [3459] distinct_lines(N27_57_3, N27_57_3)
% 293.41/42.81
% 293.41/42.81 [3458] CLOSURE : distinct_lines(N27_57_3, N27_57_3)
% 293.41/42.81
% 293.41/42.81 [3459] CLOSURE : distinct_lines(N27_57_3, N27_57_3)
% 293.41/42.81
% 293.41/42.81 [3454] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.41/42.81 -> [3884] ~unequally_directed_lines(skolem_L7777, skolem_L7777)
% 293.41/42.81
% 293.41/42.81 [3884] 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))))
% 293.41/42.81 -> [5566] (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))))
% 293.41/42.81
% 293.41/42.81 [5566] 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))))
% 293.41/42.81 -> [5572] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [5573] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_C8282)))
% 293.41/42.81
% 293.41/42.81 [5572] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [5573] BETA_OR : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_C8282)))
% 293.41/42.81 -> [7068] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.41/42.81 -> [7069] unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_C8282))
% 293.41/42.81
% 293.41/42.81 [7068] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.41/42.81
% 293.41/42.81 [7069] 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))))))
% 293.41/42.81 -> [7730] ((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)))))
% 293.41/42.81
% 293.41/42.81 [7730] 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)))))
% 293.41/42.81 -> [7731] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [7732] ((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))))
% 293.41/42.81
% 293.41/42.81 [7731] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [7763] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [7764] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [7764] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [7763] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [7732] 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))))
% 293.41/42.81 -> [10513] (unequally_directed_lines(skolem_L7777, skolem_L7777) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777)))
% 293.41/42.81 -> [10514] (unequally_directed_lines(skolem_M7878, skolem_L7777) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_L7777)))
% 293.41/42.81
% 293.41/42.81 [10513] ALPHA_AND : (unequally_directed_lines(skolem_L7777, skolem_L7777) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777)))
% 293.41/42.81 -> [10568] unequally_directed_lines(skolem_L7777, skolem_L7777), unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777))
% 293.41/42.81
% 293.41/42.81 [10568] CLOSURE : unequally_directed_lines(skolem_L7777, skolem_L7777)
% 293.41/42.81
% 293.41/42.81 [10518] 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)))))
% 293.41/42.81 -> [12357] ((line(skolem_L7777) & line(skolem_L7777)) => (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777))))
% 293.41/42.81
% 293.41/42.81 [12357] BETA_IMPLY : ((line(skolem_L7777) & line(skolem_L7777)) => (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777))))
% 293.41/42.81 -> [12362] ~(line(skolem_L7777) & line(skolem_L7777))
% 293.41/42.81 -> [12363] (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777)))
% 293.41/42.81
% 293.41/42.81 [12363] BETA_OR : (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777)))
% 293.41/42.81 -> [12369] unequally_directed_lines(skolem_L7777, skolem_L7777)
% 293.41/42.81 -> [12370] unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777))
% 293.41/42.81
% 293.41/42.81 [12369] CLOSURE : unequally_directed_lines(skolem_L7777, skolem_L7777)
% 293.41/42.81
% 293.41/42.81 [12370] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [12432] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.81
% 293.41/42.81 [12432] 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))))
% 293.41/42.81 -> [12435] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [12436] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81
% 293.41/42.81 [12436] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [12441] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [12442] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [12442] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [12653] ~(left_apart_point(A39_529_9, L40_529_9) | left_apart_point(A39_529_9, reverse_line(L40_529_9)))
% 293.41/42.81
% 293.41/42.81 [12653] ALPHA_NOT_OR : ~(left_apart_point(A39_529_9, L40_529_9) | left_apart_point(A39_529_9, reverse_line(L40_529_9)))
% 293.41/42.81 -> [12658] ~left_apart_point(A39_529_9, L40_529_9), ~left_apart_point(A39_529_9, reverse_line(L40_529_9))
% 293.41/42.81
% 293.41/42.81 [12658] CLOSURE : ~left_apart_point(A39_529_9, L40_529_9)
% 293.41/42.81
% 293.41/42.81 [12441] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [12707] ~(left_apart_point(A39_535_9, L40_535_9) | left_apart_point(A39_535_9, reverse_line(L40_535_9)))
% 293.41/42.81
% 293.41/42.81 [12707] ALPHA_NOT_OR : ~(left_apart_point(A39_535_9, L40_535_9) | left_apart_point(A39_535_9, reverse_line(L40_535_9)))
% 293.41/42.81 -> [12711] ~left_apart_point(A39_535_9, L40_535_9), ~left_apart_point(A39_535_9, reverse_line(L40_535_9))
% 293.41/42.81
% 293.41/42.81 [12711] CLOSURE : ~left_apart_point(A39_535_9, L40_535_9)
% 293.41/42.81
% 293.41/42.81 [12435] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [12490] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [12491] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [12491] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [12490] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [12362] BETA_NOT_AND : ~(line(skolem_L7777) & line(skolem_L7777))
% 293.41/42.81 -> [12383] ~line(skolem_L7777)
% 293.41/42.81 -> [12384] ~line(skolem_L7777)
% 293.41/42.81
% 293.41/42.81 [12384] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [12415] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.81
% 293.41/42.81 [12415] 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))))
% 293.41/42.81 -> [12417] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [12418] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81
% 293.41/42.81 [12418] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [12426] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [12427] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [12427] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [12643] ~(left_apart_point(A39_527_9, L40_527_9) | left_apart_point(A39_527_9, reverse_line(L40_527_9)))
% 293.41/42.81
% 293.41/42.81 [12643] ALPHA_NOT_OR : ~(left_apart_point(A39_527_9, L40_527_9) | left_apart_point(A39_527_9, reverse_line(L40_527_9)))
% 293.41/42.81 -> [12647] ~left_apart_point(A39_527_9, L40_527_9), ~left_apart_point(A39_527_9, reverse_line(L40_527_9))
% 293.41/42.81
% 293.41/42.81 [12647] CLOSURE : ~left_apart_point(A39_527_9, L40_527_9)
% 293.41/42.81
% 293.41/42.81 [12426] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [12697] ~(left_apart_point(A39_533_9, L40_533_9) | left_apart_point(A39_533_9, reverse_line(L40_533_9)))
% 293.41/42.81
% 293.41/42.81 [12697] ALPHA_NOT_OR : ~(left_apart_point(A39_533_9, L40_533_9) | left_apart_point(A39_533_9, reverse_line(L40_533_9)))
% 293.41/42.81 -> [12701] ~left_apart_point(A39_533_9, L40_533_9), ~left_apart_point(A39_533_9, reverse_line(L40_533_9))
% 293.41/42.81
% 293.41/42.81 [12701] CLOSURE : ~left_apart_point(A39_533_9, L40_533_9)
% 293.41/42.81
% 293.41/42.81 [12417] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [12479] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [12480] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [12480] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [12479] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [12383] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [12470] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.81
% 293.41/42.81 [12470] 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))))
% 293.41/42.81 -> [12473] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [12474] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81
% 293.41/42.81 [12474] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [12477] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [12478] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [12478] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [12732] ~(left_apart_point(A39_537_9, L40_537_9) | left_apart_point(A39_537_9, reverse_line(L40_537_9)))
% 293.41/42.81
% 293.41/42.81 [12732] ALPHA_NOT_OR : ~(left_apart_point(A39_537_9, L40_537_9) | left_apart_point(A39_537_9, reverse_line(L40_537_9)))
% 293.41/42.81 -> [12733] ~left_apart_point(A39_537_9, L40_537_9), ~left_apart_point(A39_537_9, reverse_line(L40_537_9))
% 293.41/42.81
% 293.41/42.81 [12733] CLOSURE : ~left_apart_point(A39_537_9, L40_537_9)
% 293.41/42.81
% 293.41/42.81 [12477] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [12742] ~(left_apart_point(A39_539_9, L40_539_9) | left_apart_point(A39_539_9, reverse_line(L40_539_9)))
% 293.41/42.81
% 293.41/42.81 [12742] ALPHA_NOT_OR : ~(left_apart_point(A39_539_9, L40_539_9) | left_apart_point(A39_539_9, reverse_line(L40_539_9)))
% 293.41/42.81 -> [12743] ~left_apart_point(A39_539_9, L40_539_9), ~left_apart_point(A39_539_9, reverse_line(L40_539_9))
% 293.41/42.81
% 293.41/42.81 [12743] CLOSURE : ~left_apart_point(A39_539_9, L40_539_9)
% 293.41/42.81
% 293.41/42.81 [12473] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [12540] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [12541] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [12541] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [12540] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [718] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.41/42.81 -> [1838] ~distinct_points(skolem_C8282, skolem_C8282)
% 293.41/42.81
% 293.41/42.81 [1838] 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))))
% 293.41/42.81 -> [3082] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.41/42.81
% 293.41/42.81 [3082] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.41/42.81 -> [3083] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.81 -> [3084] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.41/42.81
% 293.41/42.81 [3083] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.81
% 293.41/42.81 [3084] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.41/42.81 -> [5526] distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.81 -> [5527] distinct_points(skolem_C8282, skolem_C8282)
% 293.41/42.81
% 293.41/42.81 [5527] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 293.41/42.81
% 293.41/42.81 [5526] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.41/42.81 -> [6318] ~distinct_lines(M26_202_3, M26_202_3)
% 293.41/42.81
% 293.41/42.81 [6318] 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))))
% 293.41/42.81 -> [6446] (distinct_lines(M26_202_3, M26_202_3) => (distinct_lines(M26_202_3, M26_202_3) | distinct_lines(M26_202_3, M26_202_3)))
% 293.41/42.81
% 293.41/42.81 [6446] BETA_IMPLY : (distinct_lines(M26_202_3, M26_202_3) => (distinct_lines(M26_202_3, M26_202_3) | distinct_lines(M26_202_3, M26_202_3)))
% 293.41/42.81 -> [6447] ~distinct_lines(M26_202_3, M26_202_3)
% 293.41/42.81 -> [6448] (distinct_lines(M26_202_3, M26_202_3) | distinct_lines(M26_202_3, M26_202_3))
% 293.41/42.81
% 293.41/42.81 [6448] BETA_OR : (distinct_lines(M26_202_3, M26_202_3) | distinct_lines(M26_202_3, M26_202_3))
% 293.41/42.81 -> [6449] distinct_lines(M26_202_3, M26_202_3)
% 293.41/42.81 -> [6450] distinct_lines(M26_202_3, M26_202_3)
% 293.41/42.81
% 293.41/42.81 [6449] CLOSURE : distinct_lines(M26_202_3, M26_202_3)
% 293.41/42.81
% 293.41/42.81 [6450] CLOSURE : distinct_lines(M26_202_3, M26_202_3)
% 293.41/42.81
% 293.41/42.81 [6447] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.41/42.81 -> [6667] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [6667] 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))))
% 293.41/42.81 -> [6854] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878)))
% 293.41/42.81
% 293.41/42.81 [6854] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878)))
% 293.41/42.81 -> [6855] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.41/42.81 -> [6856] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [6855] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.41/42.81
% 293.41/42.81 [6856] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878))
% 293.41/42.81 -> [14341] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.81 -> [14342] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [14341] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [14342] 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))))))
% 293.41/42.81 -> [18367] ((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)))))
% 293.41/42.81
% 293.41/42.81 [18367] 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)))))
% 293.41/42.81 -> [18369] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.81 -> [18370] ((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))))
% 293.41/42.81
% 293.41/42.81 [18369] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.81 -> [18385] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.81 -> [18386] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.81
% 293.41/42.81 [18386] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.81
% 293.41/42.81 [18385] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.81
% 293.41/42.81 [18370] 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))))
% 293.41/42.81 -> [23257] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [23258] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.41/42.81
% 293.41/42.81 [23257] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [23291] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [23291] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [23258] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [23262] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [23262] 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)))))
% 293.41/42.81 -> [23499] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.41/42.81
% 293.41/42.81 [23499] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.41/42.81 -> [23500] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.41/42.81 -> [23501] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.41/42.81
% 293.41/42.81 [23500] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.41/42.81 -> [23522] ~line(skolem_M7878)
% 293.41/42.81 -> [23523] ~line(skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [23523] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [23670] ((unequally_directed_lines(skolem_N7979, M38_980_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_980_8))) => (left_convergent_lines(skolem_N7979, M38_980_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_980_8))))
% 293.41/42.81
% 293.41/42.81 [23670] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_980_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_980_8))) => (left_convergent_lines(skolem_N7979, M38_980_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_980_8))))
% 293.41/42.81 -> [23671] ~(unequally_directed_lines(skolem_N7979, M38_980_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_980_8)))
% 293.41/42.81 -> [23672] (left_convergent_lines(skolem_N7979, M38_980_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_980_8)))
% 293.41/42.81
% 293.41/42.81 [23672] BETA_OR : (left_convergent_lines(skolem_N7979, M38_980_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_980_8)))
% 293.41/42.81 -> [23674] left_convergent_lines(skolem_N7979, M38_980_8)
% 293.41/42.81 -> [23675] left_convergent_lines(skolem_N7979, reverse_line(M38_980_8))
% 293.41/42.81
% 293.41/42.81 [23675] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [23888] ~(left_apart_point(A39_1946_9, L40_1946_9) | left_apart_point(A39_1946_9, reverse_line(L40_1946_9)))
% 293.41/42.81
% 293.41/42.81 [23888] ALPHA_NOT_OR : ~(left_apart_point(A39_1946_9, L40_1946_9) | left_apart_point(A39_1946_9, reverse_line(L40_1946_9)))
% 293.41/42.81 -> [23891] ~left_apart_point(A39_1946_9, L40_1946_9), ~left_apart_point(A39_1946_9, reverse_line(L40_1946_9))
% 293.41/42.81
% 293.41/42.81 [23891] CLOSURE : ~left_apart_point(A39_1946_9, L40_1946_9)
% 293.41/42.81
% 293.41/42.81 [23674] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [23934] ~(left_apart_point(A39_1951_9, L40_1951_9) | left_apart_point(A39_1951_9, reverse_line(L40_1951_9)))
% 293.41/42.81
% 293.41/42.81 [23934] ALPHA_NOT_OR : ~(left_apart_point(A39_1951_9, L40_1951_9) | left_apart_point(A39_1951_9, reverse_line(L40_1951_9)))
% 293.41/42.81 -> [23937] ~left_apart_point(A39_1951_9, L40_1951_9), ~left_apart_point(A39_1951_9, reverse_line(L40_1951_9))
% 293.41/42.81
% 293.41/42.81 [23937] CLOSURE : ~left_apart_point(A39_1951_9, L40_1951_9)
% 293.41/42.81
% 293.41/42.81 [23671] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_980_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_980_8)))
% 293.41/42.81 -> [23729] ~unequally_directed_lines(skolem_N7979, M38_980_8)
% 293.41/42.81 -> [23730] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_980_8))
% 293.41/42.81
% 293.41/42.81 [23730] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_980_8))
% 293.41/42.81
% 293.41/42.81 [23729] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_980_8)
% 293.41/42.81
% 293.41/42.81 [23522] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [23709] ((unequally_directed_lines(skolem_N7979, M38_986_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_986_8))) => (left_convergent_lines(skolem_N7979, M38_986_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_986_8))))
% 293.41/42.81
% 293.41/42.81 [23709] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_986_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_986_8))) => (left_convergent_lines(skolem_N7979, M38_986_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_986_8))))
% 293.41/42.81 -> [23712] ~(unequally_directed_lines(skolem_N7979, M38_986_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_986_8)))
% 293.41/42.81 -> [23713] (left_convergent_lines(skolem_N7979, M38_986_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_986_8)))
% 293.41/42.81
% 293.41/42.81 [23713] BETA_OR : (left_convergent_lines(skolem_N7979, M38_986_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_986_8)))
% 293.41/42.81 -> [23719] left_convergent_lines(skolem_N7979, M38_986_8)
% 293.41/42.81 -> [23720] left_convergent_lines(skolem_N7979, reverse_line(M38_986_8))
% 293.41/42.81
% 293.41/42.81 [23720] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [23918] ~(left_apart_point(A39_1950_9, L40_1950_9) | left_apart_point(A39_1950_9, reverse_line(L40_1950_9)))
% 293.41/42.81
% 293.41/42.81 [23918] ALPHA_NOT_OR : ~(left_apart_point(A39_1950_9, L40_1950_9) | left_apart_point(A39_1950_9, reverse_line(L40_1950_9)))
% 293.41/42.81 -> [23921] ~left_apart_point(A39_1950_9, L40_1950_9), ~left_apart_point(A39_1950_9, reverse_line(L40_1950_9))
% 293.41/42.81
% 293.41/42.81 [23921] CLOSURE : ~left_apart_point(A39_1950_9, L40_1950_9)
% 293.41/42.81
% 293.41/42.81 [23719] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [23971] ~(left_apart_point(A39_1956_9, L40_1956_9) | left_apart_point(A39_1956_9, reverse_line(L40_1956_9)))
% 293.41/42.81
% 293.41/42.81 [23971] ALPHA_NOT_OR : ~(left_apart_point(A39_1956_9, L40_1956_9) | left_apart_point(A39_1956_9, reverse_line(L40_1956_9)))
% 293.41/42.81 -> [23974] ~left_apart_point(A39_1956_9, L40_1956_9), ~left_apart_point(A39_1956_9, reverse_line(L40_1956_9))
% 293.41/42.81
% 293.41/42.81 [23974] CLOSURE : ~left_apart_point(A39_1956_9, L40_1956_9)
% 293.41/42.81
% 293.41/42.81 [23712] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_986_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_986_8)))
% 293.41/42.81 -> [23808] ~unequally_directed_lines(skolem_N7979, M38_986_8)
% 293.41/42.81 -> [23809] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_986_8))
% 293.41/42.81
% 293.41/42.81 [23809] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_986_8))
% 293.41/42.81
% 293.41/42.81 [23808] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_986_8)
% 293.41/42.81
% 293.41/42.81 [23501] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [23504] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.81 -> [23505] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [23504] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [23505] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [23678] ((unequally_directed_lines(skolem_N7979, M38_981_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_981_8))) => (left_convergent_lines(skolem_N7979, M38_981_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_981_8))))
% 293.41/42.81
% 293.41/42.81 [23678] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_981_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_981_8))) => (left_convergent_lines(skolem_N7979, M38_981_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_981_8))))
% 293.41/42.81 -> [23679] ~(unequally_directed_lines(skolem_N7979, M38_981_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_981_8)))
% 293.41/42.81 -> [23680] (left_convergent_lines(skolem_N7979, M38_981_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_981_8)))
% 293.41/42.81
% 293.41/42.81 [23680] BETA_OR : (left_convergent_lines(skolem_N7979, M38_981_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_981_8)))
% 293.41/42.81 -> [23686] left_convergent_lines(skolem_N7979, M38_981_8)
% 293.41/42.81 -> [23687] left_convergent_lines(skolem_N7979, reverse_line(M38_981_8))
% 293.41/42.81
% 293.41/42.81 [23687] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [23896] ~(left_apart_point(A39_1948_9, L40_1948_9) | left_apart_point(A39_1948_9, reverse_line(L40_1948_9)))
% 293.41/42.81
% 293.41/42.81 [23896] ALPHA_NOT_OR : ~(left_apart_point(A39_1948_9, L40_1948_9) | left_apart_point(A39_1948_9, reverse_line(L40_1948_9)))
% 293.41/42.81 -> [23897] ~left_apart_point(A39_1948_9, L40_1948_9), ~left_apart_point(A39_1948_9, reverse_line(L40_1948_9))
% 293.41/42.81
% 293.41/42.81 [23897] CLOSURE : ~left_apart_point(A39_1948_9, L40_1948_9)
% 293.41/42.81
% 293.41/42.81 [23686] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [23981] ~(left_apart_point(A39_1957_9, L40_1957_9) | left_apart_point(A39_1957_9, reverse_line(L40_1957_9)))
% 293.41/42.81
% 293.41/42.81 [23981] ALPHA_NOT_OR : ~(left_apart_point(A39_1957_9, L40_1957_9) | left_apart_point(A39_1957_9, reverse_line(L40_1957_9)))
% 293.41/42.81 -> [23982] ~left_apart_point(A39_1957_9, L40_1957_9), ~left_apart_point(A39_1957_9, reverse_line(L40_1957_9))
% 293.41/42.81
% 293.41/42.81 [23982] CLOSURE : ~left_apart_point(A39_1957_9, L40_1957_9)
% 293.41/42.81
% 293.41/42.81 [23679] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_981_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_981_8)))
% 293.41/42.81 -> [23733] ~unequally_directed_lines(skolem_N7979, M38_981_8)
% 293.41/42.81 -> [23734] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_981_8))
% 293.41/42.81
% 293.41/42.81 [23734] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_981_8))
% 293.41/42.81
% 293.41/42.81 [23733] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_981_8)
% 293.41/42.81
% 293.41/42.81 [210] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.41/42.81 -> [1436] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.81
% 293.41/42.81 [1436] 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))))
% 293.41/42.81 -> [3001] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.41/42.81
% 293.41/42.81 [3001] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.41/42.81 -> [3004] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.81 -> [3005] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.41/42.81
% 293.41/42.81 [3004] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.81
% 293.41/42.81 [3005] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.41/42.81 -> [4993] distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.81 -> [4994] distinct_points(skolem_C8282, skolem_B8181)
% 293.41/42.81
% 293.41/42.81 [4993] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.81
% 293.41/42.81 [4994] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.41/42.81 -> [5346] ~distinct_lines(N27_149_3, N27_149_3)
% 293.41/42.81
% 293.41/42.81 [5346] 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))))
% 293.41/42.81 -> [5382] (distinct_lines(N27_149_3, N27_149_3) => (distinct_lines(N27_149_3, N27_149_3) | distinct_lines(N27_149_3, N27_149_3)))
% 293.41/42.81
% 293.41/42.81 [5382] BETA_IMPLY : (distinct_lines(N27_149_3, N27_149_3) => (distinct_lines(N27_149_3, N27_149_3) | distinct_lines(N27_149_3, N27_149_3)))
% 293.41/42.81 -> [5383] ~distinct_lines(N27_149_3, N27_149_3)
% 293.41/42.81 -> [5384] (distinct_lines(N27_149_3, N27_149_3) | distinct_lines(N27_149_3, N27_149_3))
% 293.41/42.81
% 293.41/42.81 [5384] BETA_OR : (distinct_lines(N27_149_3, N27_149_3) | distinct_lines(N27_149_3, N27_149_3))
% 293.41/42.81 -> [5388] distinct_lines(N27_149_3, N27_149_3)
% 293.41/42.81 -> [5389] distinct_lines(N27_149_3, N27_149_3)
% 293.41/42.81
% 293.41/42.81 [5388] CLOSURE : distinct_lines(N27_149_3, N27_149_3)
% 293.41/42.81
% 293.41/42.81 [5389] CLOSURE : distinct_lines(N27_149_3, N27_149_3)
% 293.41/42.81
% 293.41/42.81 [5383] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.41/42.81 -> [5433] ~unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.41/42.81
% 293.41/42.81 [5433] 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))))
% 293.41/42.81 -> [5478] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 293.41/42.81
% 293.41/42.81 [5478] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 293.41/42.81 -> [5480] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.41/42.81 -> [5481] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 293.41/42.81
% 293.41/42.81 [5480] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.41/42.81
% 293.41/42.81 [5481] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 293.41/42.81 -> [7217] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.41/42.81 -> [7218] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.41/42.81
% 293.41/42.81 [7218] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.41/42.81
% 293.41/42.81 [7217] 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))))))
% 293.41/42.81 -> [9114] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_95_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_95_6))) | (unequally_directed_lines(skolem_N7979, N34_95_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_95_6)))))
% 293.41/42.81
% 293.41/42.81 [9114] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_95_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_95_6))) | (unequally_directed_lines(skolem_N7979, N34_95_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_95_6)))))
% 293.41/42.81 -> [9116] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.81 -> [9117] ((unequally_directed_lines(skolem_M7878, N34_95_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_95_6))) | (unequally_directed_lines(skolem_N7979, N34_95_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_95_6))))
% 293.41/42.81
% 293.41/42.81 [9116] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.81 -> [9194] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.81 -> [9195] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.81
% 293.41/42.81 [9195] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.81
% 293.41/42.81 [9194] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.81
% 293.41/42.81 [9117] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_95_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_95_6))) | (unequally_directed_lines(skolem_N7979, N34_95_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_95_6))))
% 293.41/42.81 -> [14520] (unequally_directed_lines(skolem_M7878, N34_95_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_95_6)))
% 293.41/42.81 -> [14521] (unequally_directed_lines(skolem_N7979, N34_95_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_95_6)))
% 293.41/42.81
% 293.41/42.81 [14521] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_95_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_95_6)))
% 293.41/42.81 -> [14525] unequally_directed_lines(skolem_N7979, N34_95_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_95_6))
% 293.41/42.81
% 293.41/42.81 [14525] 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)))))
% 293.41/42.81 -> [14683] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))))
% 293.41/42.81
% 293.41/42.81 [14683] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))))
% 293.41/42.81 -> [14684] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 293.41/42.81 -> [14685] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 293.41/42.81
% 293.41/42.81 [14685] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 293.41/42.81 -> [14691] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.41/42.81 -> [14692] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 293.41/42.81
% 293.41/42.81 [14691] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.41/42.81
% 293.41/42.81 [14692] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [14889] ((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))))
% 293.41/42.81
% 293.41/42.81 [14889] 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))))
% 293.41/42.81 -> [14892] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.81 -> [14893] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.81
% 293.41/42.81 [14893] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.81 -> [14897] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.41/42.81 -> [14898] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.81
% 293.41/42.81 [14898] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [15082] ~(left_apart_point(A39_835_9, L40_835_9) | left_apart_point(A39_835_9, reverse_line(L40_835_9)))
% 293.41/42.81
% 293.41/42.81 [15082] ALPHA_NOT_OR : ~(left_apart_point(A39_835_9, L40_835_9) | left_apart_point(A39_835_9, reverse_line(L40_835_9)))
% 293.41/42.81 -> [15084] ~left_apart_point(A39_835_9, L40_835_9), ~left_apart_point(A39_835_9, reverse_line(L40_835_9))
% 293.41/42.81
% 293.41/42.81 [15084] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.41/42.81 -> [15328] ~(left_convergent_lines(L41_99_10, M42_99_10) | left_convergent_lines(L41_99_10, reverse_line(M42_99_10)))
% 293.41/42.81
% 293.41/42.81 [15328] ALPHA_NOT_OR : ~(left_convergent_lines(L41_99_10, M42_99_10) | left_convergent_lines(L41_99_10, reverse_line(M42_99_10)))
% 293.41/42.81 -> [15329] ~left_convergent_lines(L41_99_10, M42_99_10), ~left_convergent_lines(L41_99_10, reverse_line(M42_99_10))
% 293.41/42.81
% 293.41/42.81 [15329] CLOSURE : ~left_convergent_lines(L41_99_10, M42_99_10)
% 293.41/42.81
% 293.41/42.81 [14897] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [15123] ~(left_apart_point(A39_842_9, L40_842_9) | left_apart_point(A39_842_9, reverse_line(L40_842_9)))
% 293.41/42.81
% 293.41/42.81 [15123] ALPHA_NOT_OR : ~(left_apart_point(A39_842_9, L40_842_9) | left_apart_point(A39_842_9, reverse_line(L40_842_9)))
% 293.41/42.81 -> [15128] ~left_apart_point(A39_842_9, L40_842_9), ~left_apart_point(A39_842_9, reverse_line(L40_842_9))
% 293.41/42.81
% 293.41/42.81 [15128] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.41/42.81 -> [15363] ~(left_convergent_lines(L41_102_10, M42_102_10) | left_convergent_lines(L41_102_10, reverse_line(M42_102_10)))
% 293.41/42.81
% 293.41/42.81 [15363] ALPHA_NOT_OR : ~(left_convergent_lines(L41_102_10, M42_102_10) | left_convergent_lines(L41_102_10, reverse_line(M42_102_10)))
% 293.41/42.81 -> [15364] ~left_convergent_lines(L41_102_10, M42_102_10), ~left_convergent_lines(L41_102_10, reverse_line(M42_102_10))
% 293.41/42.81
% 293.41/42.81 [15364] CLOSURE : ~left_convergent_lines(L41_102_10, M42_102_10)
% 293.41/42.81
% 293.41/42.81 [14892] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.81 -> [14954] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.81 -> [14955] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.81
% 293.41/42.81 [14955] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.81
% 293.41/42.81 [14954] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.81
% 293.41/42.81 [14684] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 293.41/42.81 -> [14737] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.41/42.81 -> [14738] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.41/42.81
% 293.41/42.81 [14738] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [14874] ((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))))
% 293.41/42.81
% 293.41/42.81 [14874] 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))))
% 293.41/42.81 -> [14877] ~(unequally_directed_lines(skolem_N7979, M38_423_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_423_8)))
% 293.41/42.81 -> [14878] (left_convergent_lines(skolem_N7979, M38_423_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_423_8)))
% 293.41/42.81
% 293.41/42.81 [14877] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_423_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_423_8)))
% 293.41/42.81 -> [14944] ~unequally_directed_lines(skolem_N7979, M38_423_8)
% 293.41/42.81 -> [14945] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_423_8))
% 293.41/42.81
% 293.41/42.81 [14945] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_423_8))
% 293.41/42.81
% 293.41/42.81 [14944] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_423_8)
% 293.41/42.81
% 293.41/42.81 [14878] BETA_OR : (left_convergent_lines(skolem_N7979, M38_423_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_423_8)))
% 293.41/42.81 -> [14880] left_convergent_lines(skolem_N7979, M38_423_8)
% 293.41/42.81 -> [14881] left_convergent_lines(skolem_N7979, reverse_line(M38_423_8))
% 293.41/42.81
% 293.41/42.81 [14880] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [15114] ~(left_apart_point(A39_841_9, L40_841_9) | left_apart_point(A39_841_9, reverse_line(L40_841_9)))
% 293.41/42.81
% 293.41/42.81 [15114] ALPHA_NOT_OR : ~(left_apart_point(A39_841_9, L40_841_9) | left_apart_point(A39_841_9, reverse_line(L40_841_9)))
% 293.41/42.81 -> [15117] ~left_apart_point(A39_841_9, L40_841_9), ~left_apart_point(A39_841_9, reverse_line(L40_841_9))
% 293.41/42.81
% 293.41/42.81 [15117] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.41/42.81 -> [15355] ~(left_convergent_lines(L41_101_10, M42_101_10) | left_convergent_lines(L41_101_10, reverse_line(M42_101_10)))
% 293.41/42.81
% 293.41/42.81 [15355] ALPHA_NOT_OR : ~(left_convergent_lines(L41_101_10, M42_101_10) | left_convergent_lines(L41_101_10, reverse_line(M42_101_10)))
% 293.41/42.81 -> [15356] ~left_convergent_lines(L41_101_10, M42_101_10), ~left_convergent_lines(L41_101_10, reverse_line(M42_101_10))
% 293.41/42.81
% 293.41/42.81 [15356] CLOSURE : ~left_convergent_lines(L41_101_10, M42_101_10)
% 293.41/42.81
% 293.41/42.81 [14881] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [15079] ~(left_apart_point(A39_834_9, L40_834_9) | left_apart_point(A39_834_9, reverse_line(L40_834_9)))
% 293.41/42.81
% 293.41/42.81 [15079] ALPHA_NOT_OR : ~(left_apart_point(A39_834_9, L40_834_9) | left_apart_point(A39_834_9, reverse_line(L40_834_9)))
% 293.41/42.81 -> [16049] ~left_apart_point(A39_834_9, L40_834_9), ~left_apart_point(A39_834_9, reverse_line(L40_834_9))
% 293.41/42.81
% 293.41/42.81 [16049] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.41/42.81 -> [16357] ~(left_convergent_lines(L41_116_10, M42_116_10) | left_convergent_lines(L41_116_10, reverse_line(M42_116_10)))
% 293.41/42.81
% 293.41/42.81 [16357] ALPHA_NOT_OR : ~(left_convergent_lines(L41_116_10, M42_116_10) | left_convergent_lines(L41_116_10, reverse_line(M42_116_10)))
% 293.41/42.81 -> [16361] ~left_convergent_lines(L41_116_10, M42_116_10), ~left_convergent_lines(L41_116_10, reverse_line(M42_116_10))
% 293.41/42.81
% 293.41/42.81 [16361] CLOSURE : ~left_convergent_lines(L41_116_10, M42_116_10)
% 293.41/42.81
% 293.41/42.81 [14737] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [14934] ((unequally_directed_lines(skolem_N7979, M38_429_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_429_8))) => (left_convergent_lines(skolem_N7979, M38_429_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_429_8))))
% 293.41/42.81
% 293.41/42.81 [14934] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_429_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_429_8))) => (left_convergent_lines(skolem_N7979, M38_429_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_429_8))))
% 293.41/42.81 -> [14936] ~(unequally_directed_lines(skolem_N7979, M38_429_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_429_8)))
% 293.41/42.81 -> [14937] (left_convergent_lines(skolem_N7979, M38_429_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_429_8)))
% 293.41/42.81
% 293.41/42.81 [14936] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_429_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_429_8)))
% 293.41/42.81 -> [14996] ~unequally_directed_lines(skolem_N7979, M38_429_8)
% 293.41/42.81 -> [14997] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_429_8))
% 293.41/42.81
% 293.41/42.81 [14997] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_429_8))
% 293.41/42.81
% 293.41/42.81 [14996] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_429_8)
% 293.41/42.81
% 293.41/42.81 [14937] BETA_OR : (left_convergent_lines(skolem_N7979, M38_429_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_429_8)))
% 293.41/42.81 -> [14939] left_convergent_lines(skolem_N7979, M38_429_8)
% 293.41/42.81 -> [14940] left_convergent_lines(skolem_N7979, reverse_line(M38_429_8))
% 293.41/42.81
% 293.41/42.81 [14939] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [15157] ~(left_apart_point(A39_847_9, L40_847_9) | left_apart_point(A39_847_9, reverse_line(L40_847_9)))
% 293.41/42.81
% 293.41/42.81 [15157] ALPHA_NOT_OR : ~(left_apart_point(A39_847_9, L40_847_9) | left_apart_point(A39_847_9, reverse_line(L40_847_9)))
% 293.41/42.81 -> [15159] ~left_apart_point(A39_847_9, L40_847_9), ~left_apart_point(A39_847_9, reverse_line(L40_847_9))
% 293.41/42.81
% 293.41/42.81 [15159] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.41/42.81 -> [15398] ~(left_convergent_lines(L41_104_10, M42_104_10) | left_convergent_lines(L41_104_10, reverse_line(M42_104_10)))
% 293.41/42.81
% 293.41/42.81 [15398] ALPHA_NOT_OR : ~(left_convergent_lines(L41_104_10, M42_104_10) | left_convergent_lines(L41_104_10, reverse_line(M42_104_10)))
% 293.41/42.81 -> [15404] ~left_convergent_lines(L41_104_10, M42_104_10), ~left_convergent_lines(L41_104_10, reverse_line(M42_104_10))
% 293.41/42.81
% 293.41/42.81 [15404] CLOSURE : ~left_convergent_lines(L41_104_10, M42_104_10)
% 293.41/42.81
% 293.41/42.81 [14940] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [15112] ~(left_apart_point(A39_839_9, L40_839_9) | left_apart_point(A39_839_9, reverse_line(L40_839_9)))
% 293.41/42.81
% 293.41/42.81 [15112] ALPHA_NOT_OR : ~(left_apart_point(A39_839_9, L40_839_9) | left_apart_point(A39_839_9, reverse_line(L40_839_9)))
% 293.41/42.81 -> [15376] ~left_apart_point(A39_839_9, L40_839_9), ~left_apart_point(A39_839_9, reverse_line(L40_839_9))
% 293.41/42.81
% 293.41/42.81 [15376] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.41/42.81 -> [17373] ~(left_convergent_lines(L41_127_10, M42_127_10) | left_convergent_lines(L41_127_10, reverse_line(M42_127_10)))
% 293.41/42.81
% 293.41/42.81 [17373] ALPHA_NOT_OR : ~(left_convergent_lines(L41_127_10, M42_127_10) | left_convergent_lines(L41_127_10, reverse_line(M42_127_10)))
% 293.41/42.81 -> [17374] ~left_convergent_lines(L41_127_10, M42_127_10), ~left_convergent_lines(L41_127_10, reverse_line(M42_127_10))
% 293.41/42.81
% 293.41/42.81 [17374] CLOSURE : ~left_convergent_lines(L41_127_10, M42_127_10)
% 293.41/42.81
% 293.41/42.81 [14520] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_95_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_95_6)))
% 293.41/42.81 -> [14540] unequally_directed_lines(skolem_M7878, N34_95_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_95_6))
% 293.41/42.81
% 293.41/42.81 [14540] 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)))))
% 293.41/42.81 -> [14720] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))))
% 293.41/42.81
% 293.41/42.81 [14720] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))))
% 293.41/42.81 -> [14726] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 293.41/42.81 -> [14727] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 293.41/42.81
% 293.41/42.81 [14726] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 293.41/42.81 -> [14783] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.41/42.81 -> [14784] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.41/42.81
% 293.41/42.81 [14784] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [14918] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.81
% 293.41/42.81 [14918] 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))))
% 293.41/42.81 -> [14921] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [14922] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81
% 293.41/42.81 [14921] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [14993] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [14994] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [14994] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [14993] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [14922] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [14925] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [14926] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [14926] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [15101] ~(left_apart_point(A39_836_9, L40_836_9) | left_apart_point(A39_836_9, reverse_line(L40_836_9)))
% 293.41/42.81
% 293.41/42.81 [15101] ALPHA_NOT_OR : ~(left_apart_point(A39_836_9, L40_836_9) | left_apart_point(A39_836_9, reverse_line(L40_836_9)))
% 293.41/42.81 -> [15102] ~left_apart_point(A39_836_9, L40_836_9), ~left_apart_point(A39_836_9, reverse_line(L40_836_9))
% 293.41/42.81
% 293.41/42.81 [15102] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.41/42.81 -> [15348] ~(left_convergent_lines(L41_100_10, M42_100_10) | left_convergent_lines(L41_100_10, reverse_line(M42_100_10)))
% 293.41/42.81
% 293.41/42.81 [15348] ALPHA_NOT_OR : ~(left_convergent_lines(L41_100_10, M42_100_10) | left_convergent_lines(L41_100_10, reverse_line(M42_100_10)))
% 293.41/42.81 -> [15350] ~left_convergent_lines(L41_100_10, M42_100_10), ~left_convergent_lines(L41_100_10, reverse_line(M42_100_10))
% 293.41/42.81
% 293.41/42.81 [15350] CLOSURE : ~left_convergent_lines(L41_100_10, M42_100_10)
% 293.41/42.81
% 293.41/42.81 [14925] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [15150] ~(left_apart_point(A39_844_9, L40_844_9) | left_apart_point(A39_844_9, reverse_line(L40_844_9)))
% 293.41/42.81
% 293.41/42.81 [15150] ALPHA_NOT_OR : ~(left_apart_point(A39_844_9, L40_844_9) | left_apart_point(A39_844_9, reverse_line(L40_844_9)))
% 293.41/42.81 -> [15152] ~left_apart_point(A39_844_9, L40_844_9), ~left_apart_point(A39_844_9, reverse_line(L40_844_9))
% 293.41/42.81
% 293.41/42.81 [15152] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.41/42.81 -> [15387] ~(left_convergent_lines(L41_103_10, M42_103_10) | left_convergent_lines(L41_103_10, reverse_line(M42_103_10)))
% 293.41/42.81
% 293.41/42.81 [15387] ALPHA_NOT_OR : ~(left_convergent_lines(L41_103_10, M42_103_10) | left_convergent_lines(L41_103_10, reverse_line(M42_103_10)))
% 293.41/42.81 -> [15389] ~left_convergent_lines(L41_103_10, M42_103_10), ~left_convergent_lines(L41_103_10, reverse_line(M42_103_10))
% 293.41/42.81
% 293.41/42.81 [15389] CLOSURE : ~left_convergent_lines(L41_103_10, M42_103_10)
% 293.41/42.81
% 293.41/42.81 [14783] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [14978] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.81
% 293.41/42.81 [14978] 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))))
% 293.41/42.81 -> [14982] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [14983] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81
% 293.41/42.81 [14982] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [15007] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [15008] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [15008] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [15007] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [14983] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [14984] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [14985] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [14985] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [15143] ~(left_apart_point(A39_843_9, L40_843_9) | left_apart_point(A39_843_9, reverse_line(L40_843_9)))
% 293.41/42.81
% 293.41/42.81 [15143] ALPHA_NOT_OR : ~(left_apart_point(A39_843_9, L40_843_9) | left_apart_point(A39_843_9, reverse_line(L40_843_9)))
% 293.41/42.81 -> [15146] ~left_apart_point(A39_843_9, L40_843_9), ~left_apart_point(A39_843_9, reverse_line(L40_843_9))
% 293.41/42.81
% 293.41/42.81 [15146] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.41/42.81 -> [15460] ~(left_convergent_lines(L41_105_10, M42_105_10) | left_convergent_lines(L41_105_10, reverse_line(M42_105_10)))
% 293.41/42.81
% 293.41/42.81 [15460] ALPHA_NOT_OR : ~(left_convergent_lines(L41_105_10, M42_105_10) | left_convergent_lines(L41_105_10, reverse_line(M42_105_10)))
% 293.41/42.81 -> [15463] ~left_convergent_lines(L41_105_10, M42_105_10), ~left_convergent_lines(L41_105_10, reverse_line(M42_105_10))
% 293.41/42.81
% 293.41/42.81 [15463] CLOSURE : ~left_convergent_lines(L41_105_10, M42_105_10)
% 293.41/42.81
% 293.41/42.81 [14984] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [15230] ~(left_apart_point(A39_855_9, L40_855_9) | left_apart_point(A39_855_9, reverse_line(L40_855_9)))
% 293.41/42.81
% 293.41/42.81 [15230] ALPHA_NOT_OR : ~(left_apart_point(A39_855_9, L40_855_9) | left_apart_point(A39_855_9, reverse_line(L40_855_9)))
% 293.41/42.81 -> [15235] ~left_apart_point(A39_855_9, L40_855_9), ~left_apart_point(A39_855_9, reverse_line(L40_855_9))
% 293.41/42.81
% 293.41/42.81 [15235] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.41/42.81 -> [15514] ~(left_convergent_lines(L41_108_10, M42_108_10) | left_convergent_lines(L41_108_10, reverse_line(M42_108_10)))
% 293.41/42.81
% 293.41/42.81 [15514] ALPHA_NOT_OR : ~(left_convergent_lines(L41_108_10, M42_108_10) | left_convergent_lines(L41_108_10, reverse_line(M42_108_10)))
% 293.41/42.81 -> [15515] ~left_convergent_lines(L41_108_10, M42_108_10), ~left_convergent_lines(L41_108_10, reverse_line(M42_108_10))
% 293.41/42.81
% 293.41/42.81 [15515] CLOSURE : ~left_convergent_lines(L41_108_10, M42_108_10)
% 293.41/42.81
% 293.41/42.81 [14727] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 293.41/42.81 -> [14731] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.41/42.81 -> [14732] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 293.41/42.81
% 293.41/42.81 [14731] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.41/42.81
% 293.41/42.81 [14732] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [15240] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.81
% 293.41/42.81 [15240] 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))))
% 293.41/42.81 -> [15241] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [15242] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81
% 293.41/42.81 [15241] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [15318] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [15319] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [15319] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [15318] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [15242] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [15243] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [15244] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [15244] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [15667] ~(left_apart_point(A39_898_9, L40_898_9) | left_apart_point(A39_898_9, reverse_line(L40_898_9)))
% 293.41/42.81
% 293.41/42.81 [15667] ALPHA_NOT_OR : ~(left_apart_point(A39_898_9, L40_898_9) | left_apart_point(A39_898_9, reverse_line(L40_898_9)))
% 293.41/42.81 -> [15672] ~left_apart_point(A39_898_9, L40_898_9), ~left_apart_point(A39_898_9, reverse_line(L40_898_9))
% 293.41/42.81
% 293.41/42.81 [15672] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.41/42.81 -> [16562] ~(left_convergent_lines(L41_117_10, M42_117_10) | left_convergent_lines(L41_117_10, reverse_line(M42_117_10)))
% 293.41/42.81
% 293.41/42.81 [16562] ALPHA_NOT_OR : ~(left_convergent_lines(L41_117_10, M42_117_10) | left_convergent_lines(L41_117_10, reverse_line(M42_117_10)))
% 293.41/42.81 -> [16564] ~left_convergent_lines(L41_117_10, M42_117_10), ~left_convergent_lines(L41_117_10, reverse_line(M42_117_10))
% 293.41/42.81
% 293.41/42.81 [16564] CLOSURE : ~left_convergent_lines(L41_117_10, M42_117_10)
% 293.41/42.81
% 293.41/42.81 [15243] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [15893] ~(left_apart_point(A39_921_9, L40_921_9) | left_apart_point(A39_921_9, reverse_line(L40_921_9)))
% 293.41/42.81
% 293.41/42.81 [15893] ALPHA_NOT_OR : ~(left_apart_point(A39_921_9, L40_921_9) | left_apart_point(A39_921_9, reverse_line(L40_921_9)))
% 293.41/42.81 -> [15894] ~left_apart_point(A39_921_9, L40_921_9), ~left_apart_point(A39_921_9, reverse_line(L40_921_9))
% 293.41/42.81
% 293.41/42.81 [15894] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.41/42.81 -> [19327] ~(left_convergent_lines(L41_172_10, M42_172_10) | left_convergent_lines(L41_172_10, reverse_line(M42_172_10)))
% 293.41/42.81
% 293.41/42.81 [19327] ALPHA_NOT_OR : ~(left_convergent_lines(L41_172_10, M42_172_10) | left_convergent_lines(L41_172_10, reverse_line(M42_172_10)))
% 293.41/42.81 -> [19329] ~left_convergent_lines(L41_172_10, M42_172_10), ~left_convergent_lines(L41_172_10, reverse_line(M42_172_10))
% 293.41/42.81
% 293.41/42.81 [19329] CLOSURE : ~left_convergent_lines(L41_172_10, M42_172_10)
% 293.41/42.81
% 293.41/42.81 [147] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.41/42.81 -> [152] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.41/42.81 -> [153] ~~(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)))
% 293.41/42.81
% 293.41/42.81 [152] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.41/42.81 -> [166] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.41/42.81 -> [167] ~~(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)))
% 293.41/42.81
% 293.41/42.81 [166] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.41/42.81 -> [193] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))
% 293.41/42.81 -> [194] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.41/42.81
% 293.41/42.81 [193] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.41/42.81 -> [427] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 293.41/42.81 -> [428] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.41/42.81
% 293.41/42.81 [427] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.41/42.81 -> [1123] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.81
% 293.41/42.81 [1123] 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))))
% 293.41/42.81 -> [1345] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.41/42.81
% 293.41/42.81 [1345] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.41/42.81 -> [1347] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.81 -> [1348] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.41/42.81
% 293.41/42.81 [1347] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.81
% 293.41/42.81 [1348] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.41/42.81 -> [4565] distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.81 -> [4566] distinct_points(skolem_C8282, skolem_B8181)
% 293.41/42.81
% 293.41/42.81 [4565] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.81
% 293.41/42.81 [4566] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.41/42.81 -> [4712] ~distinct_lines(N27_122_3, N27_122_3)
% 293.41/42.81
% 293.41/42.81 [4712] 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))))
% 293.41/42.81 -> [4762] (distinct_lines(N27_122_3, N27_122_3) => (distinct_lines(N27_122_3, N27_122_3) | distinct_lines(N27_122_3, N27_122_3)))
% 293.41/42.81
% 293.41/42.81 [4762] 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)))
% 293.41/42.81 -> [4763] ~distinct_lines(N27_122_3, N27_122_3)
% 293.41/42.81 -> [4764] (distinct_lines(N27_122_3, N27_122_3) | distinct_lines(N27_122_3, N27_122_3))
% 293.41/42.81
% 293.41/42.81 [4764] BETA_OR : (distinct_lines(N27_122_3, N27_122_3) | distinct_lines(N27_122_3, N27_122_3))
% 293.41/42.81 -> [4765] distinct_lines(N27_122_3, N27_122_3)
% 293.41/42.81 -> [4766] distinct_lines(N27_122_3, N27_122_3)
% 293.41/42.81
% 293.41/42.81 [4766] CLOSURE : distinct_lines(N27_122_3, N27_122_3)
% 293.41/42.81
% 293.41/42.81 [4765] CLOSURE : distinct_lines(N27_122_3, N27_122_3)
% 293.41/42.81
% 293.41/42.81 [4763] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.41/42.81 -> [4807] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [4807] 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))))
% 293.41/42.81 -> [4864] (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)))
% 293.41/42.81
% 293.41/42.81 [4864] 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)))
% 293.41/42.81 -> [4867] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.81 -> [4868] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [4867] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.81
% 293.41/42.81 [4868] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.41/42.81 -> [5697] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.81 -> [5698] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [5697] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [5698] 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))))))
% 293.41/42.81 -> [8434] ((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)))))
% 293.41/42.81
% 293.41/42.81 [8434] 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)))))
% 293.41/42.81 -> [8435] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.81 -> [8436] ((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))))
% 293.41/42.81
% 293.41/42.81 [8435] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.81 -> [8483] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.81 -> [8484] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.81
% 293.41/42.81 [8484] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.81
% 293.41/42.81 [8483] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.81
% 293.41/42.81 [8436] 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))))
% 293.41/42.81 -> [14277] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [14278] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.41/42.81
% 293.41/42.81 [14277] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [14296] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [14296] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [14278] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [14282] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [14282] 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)))))
% 293.41/42.81 -> [15397] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.41/42.81
% 293.41/42.81 [15397] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.41/42.81 -> [15402] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.41/42.81 -> [15403] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.41/42.81
% 293.41/42.81 [15402] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.41/42.81 -> [15577] ~line(skolem_M7878)
% 293.41/42.81 -> [15578] ~line(skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [15578] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [16142] ((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))))
% 293.41/42.81
% 293.41/42.81 [16142] 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))))
% 293.41/42.81 -> [16145] ~(unequally_directed_lines(skolem_N7979, M38_493_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_493_8)))
% 293.41/42.81 -> [16146] (left_convergent_lines(skolem_N7979, M38_493_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_493_8)))
% 293.41/42.81
% 293.41/42.81 [16146] BETA_OR : (left_convergent_lines(skolem_N7979, M38_493_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_493_8)))
% 293.41/42.81 -> [16148] left_convergent_lines(skolem_N7979, M38_493_8)
% 293.41/42.81 -> [16149] left_convergent_lines(skolem_N7979, reverse_line(M38_493_8))
% 293.41/42.81
% 293.41/42.81 [16148] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [16593] ~(left_apart_point(A39_990_9, L40_990_9) | left_apart_point(A39_990_9, reverse_line(L40_990_9)))
% 293.41/42.81
% 293.41/42.81 [16593] ALPHA_NOT_OR : ~(left_apart_point(A39_990_9, L40_990_9) | left_apart_point(A39_990_9, reverse_line(L40_990_9)))
% 293.41/42.81 -> [16595] ~left_apart_point(A39_990_9, L40_990_9), ~left_apart_point(A39_990_9, reverse_line(L40_990_9))
% 293.41/42.81
% 293.41/42.81 [16595] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.41/42.81 -> [17044] ~(left_convergent_lines(L41_121_10, M42_121_10) | left_convergent_lines(L41_121_10, reverse_line(M42_121_10)))
% 293.41/42.81
% 293.41/42.81 [17044] ALPHA_NOT_OR : ~(left_convergent_lines(L41_121_10, M42_121_10) | left_convergent_lines(L41_121_10, reverse_line(M42_121_10)))
% 293.41/42.81 -> [17047] ~left_convergent_lines(L41_121_10, M42_121_10), ~left_convergent_lines(L41_121_10, reverse_line(M42_121_10))
% 293.41/42.81
% 293.41/42.81 [17047] CLOSURE : ~left_convergent_lines(L41_121_10, M42_121_10)
% 293.41/42.81
% 293.41/42.81 [16149] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [16548] ~(left_apart_point(A39_981_9, L40_981_9) | left_apart_point(A39_981_9, reverse_line(L40_981_9)))
% 293.41/42.81
% 293.41/42.81 [16548] ALPHA_NOT_OR : ~(left_apart_point(A39_981_9, L40_981_9) | left_apart_point(A39_981_9, reverse_line(L40_981_9)))
% 293.41/42.81 -> [16553] ~left_apart_point(A39_981_9, L40_981_9), ~left_apart_point(A39_981_9, reverse_line(L40_981_9))
% 293.41/42.81
% 293.41/42.81 [16553] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.41/42.81 -> [17320] ~(left_convergent_lines(L41_126_10, M42_126_10) | left_convergent_lines(L41_126_10, reverse_line(M42_126_10)))
% 293.41/42.81
% 293.41/42.81 [17320] ALPHA_NOT_OR : ~(left_convergent_lines(L41_126_10, M42_126_10) | left_convergent_lines(L41_126_10, reverse_line(M42_126_10)))
% 293.41/42.81 -> [17323] ~left_convergent_lines(L41_126_10, M42_126_10), ~left_convergent_lines(L41_126_10, reverse_line(M42_126_10))
% 293.41/42.81
% 293.41/42.81 [17323] CLOSURE : ~left_convergent_lines(L41_126_10, M42_126_10)
% 293.41/42.81
% 293.41/42.81 [16145] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_493_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_493_8)))
% 293.41/42.81 -> [16344] ~unequally_directed_lines(skolem_N7979, M38_493_8)
% 293.41/42.81 -> [16345] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_493_8))
% 293.41/42.81
% 293.41/42.81 [16345] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_493_8))
% 293.41/42.81
% 293.41/42.81 [16344] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_493_8)
% 293.41/42.81
% 293.41/42.81 [15577] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [16373] ((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))))
% 293.41/42.81
% 293.41/42.81 [16373] 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))))
% 293.41/42.81 -> [16375] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.81 -> [16376] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.81
% 293.41/42.81 [16375] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.81 -> [16511] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.81 -> [16512] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.81
% 293.41/42.81 [16512] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.81
% 293.41/42.81 [16511] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.81
% 293.41/42.81 [16376] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.81 -> [16379] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.41/42.81 -> [16380] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.81
% 293.41/42.81 [16380] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [17039] ~(left_apart_point(A39_1031_9, L40_1031_9) | left_apart_point(A39_1031_9, reverse_line(L40_1031_9)))
% 293.41/42.81
% 293.41/42.81 [17039] ALPHA_NOT_OR : ~(left_apart_point(A39_1031_9, L40_1031_9) | left_apart_point(A39_1031_9, reverse_line(L40_1031_9)))
% 293.41/42.81 -> [17041] ~left_apart_point(A39_1031_9, L40_1031_9), ~left_apart_point(A39_1031_9, reverse_line(L40_1031_9))
% 293.41/42.81
% 293.41/42.81 [17041] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.41/42.81 -> [17676] ~(left_convergent_lines(L41_131_10, M42_131_10) | left_convergent_lines(L41_131_10, reverse_line(M42_131_10)))
% 293.41/42.81
% 293.41/42.81 [17676] ALPHA_NOT_OR : ~(left_convergent_lines(L41_131_10, M42_131_10) | left_convergent_lines(L41_131_10, reverse_line(M42_131_10)))
% 293.41/42.81 -> [17679] ~left_convergent_lines(L41_131_10, M42_131_10), ~left_convergent_lines(L41_131_10, reverse_line(M42_131_10))
% 293.41/42.81
% 293.41/42.81 [17679] CLOSURE : ~left_convergent_lines(L41_131_10, M42_131_10)
% 293.41/42.81
% 293.41/42.81 [16379] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [17284] ~(left_apart_point(A39_1070_9, L40_1070_9) | left_apart_point(A39_1070_9, reverse_line(L40_1070_9)))
% 293.41/42.81
% 293.41/42.81 [17284] ALPHA_NOT_OR : ~(left_apart_point(A39_1070_9, L40_1070_9) | left_apart_point(A39_1070_9, reverse_line(L40_1070_9)))
% 293.41/42.81 -> [17288] ~left_apart_point(A39_1070_9, L40_1070_9), ~left_apart_point(A39_1070_9, reverse_line(L40_1070_9))
% 293.41/42.81
% 293.41/42.81 [17288] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.41/42.81 -> [17718] ~(left_convergent_lines(L41_133_10, M42_133_10) | left_convergent_lines(L41_133_10, reverse_line(M42_133_10)))
% 293.41/42.81
% 293.41/42.81 [17718] ALPHA_NOT_OR : ~(left_convergent_lines(L41_133_10, M42_133_10) | left_convergent_lines(L41_133_10, reverse_line(M42_133_10)))
% 293.41/42.81 -> [17719] ~left_convergent_lines(L41_133_10, M42_133_10), ~left_convergent_lines(L41_133_10, reverse_line(M42_133_10))
% 293.41/42.81
% 293.41/42.81 [17719] CLOSURE : ~left_convergent_lines(L41_133_10, M42_133_10)
% 293.41/42.81
% 293.41/42.81 [15403] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [15411] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.81 -> [15412] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [15411] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [15412] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [17052] ((unequally_directed_lines(skolem_N7979, M38_558_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_558_8))) => (left_convergent_lines(skolem_N7979, M38_558_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_558_8))))
% 293.41/42.81
% 293.41/42.81 [17052] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_558_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_558_8))) => (left_convergent_lines(skolem_N7979, M38_558_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_558_8))))
% 293.41/42.81 -> [17057] ~(unequally_directed_lines(skolem_N7979, M38_558_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_558_8)))
% 293.41/42.81 -> [17058] (left_convergent_lines(skolem_N7979, M38_558_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_558_8)))
% 293.41/42.81
% 293.41/42.81 [17057] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_558_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_558_8)))
% 293.41/42.81 -> [17196] ~unequally_directed_lines(skolem_N7979, M38_558_8)
% 293.41/42.81 -> [17197] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_558_8))
% 293.41/42.81
% 293.41/42.81 [17197] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_558_8))
% 293.41/42.81
% 293.41/42.81 [17196] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_558_8)
% 293.41/42.81
% 293.41/42.81 [17058] BETA_OR : (left_convergent_lines(skolem_N7979, M38_558_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_558_8)))
% 293.41/42.81 -> [17062] left_convergent_lines(skolem_N7979, M38_558_8)
% 293.41/42.81 -> [17063] left_convergent_lines(skolem_N7979, reverse_line(M38_558_8))
% 293.41/42.81
% 293.41/42.81 [17062] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [17545] ~(left_apart_point(A39_1113_9, L40_1113_9) | left_apart_point(A39_1113_9, reverse_line(L40_1113_9)))
% 293.41/42.81
% 293.41/42.81 [17545] ALPHA_NOT_OR : ~(left_apart_point(A39_1113_9, L40_1113_9) | left_apart_point(A39_1113_9, reverse_line(L40_1113_9)))
% 293.41/42.81 -> [17547] ~left_apart_point(A39_1113_9, L40_1113_9), ~left_apart_point(A39_1113_9, reverse_line(L40_1113_9))
% 293.41/42.81
% 293.41/42.81 [17547] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.41/42.81 -> [18057] ~(left_convergent_lines(L41_146_10, M42_146_10) | left_convergent_lines(L41_146_10, reverse_line(M42_146_10)))
% 293.41/42.81
% 293.41/42.81 [18057] ALPHA_NOT_OR : ~(left_convergent_lines(L41_146_10, M42_146_10) | left_convergent_lines(L41_146_10, reverse_line(M42_146_10)))
% 293.41/42.81 -> [18058] ~left_convergent_lines(L41_146_10, M42_146_10), ~left_convergent_lines(L41_146_10, reverse_line(M42_146_10))
% 293.41/42.81
% 293.41/42.81 [18058] CLOSURE : ~left_convergent_lines(L41_146_10, M42_146_10)
% 293.41/42.81
% 293.41/42.81 [17063] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [17543] ~(left_apart_point(A39_1112_9, L40_1112_9) | left_apart_point(A39_1112_9, reverse_line(L40_1112_9)))
% 293.41/42.81
% 293.41/42.81 [17543] ALPHA_NOT_OR : ~(left_apart_point(A39_1112_9, L40_1112_9) | left_apart_point(A39_1112_9, reverse_line(L40_1112_9)))
% 293.41/42.81 -> [17544] ~left_apart_point(A39_1112_9, L40_1112_9), ~left_apart_point(A39_1112_9, reverse_line(L40_1112_9))
% 293.41/42.81
% 293.41/42.81 [17544] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.41/42.81 -> [17770] ~(left_convergent_lines(L41_135_10, M42_135_10) | left_convergent_lines(L41_135_10, reverse_line(M42_135_10)))
% 293.41/42.81
% 293.41/42.81 [17770] ALPHA_NOT_OR : ~(left_convergent_lines(L41_135_10, M42_135_10) | left_convergent_lines(L41_135_10, reverse_line(M42_135_10)))
% 293.41/42.81 -> [21453] ~left_convergent_lines(L41_135_10, M42_135_10), ~left_convergent_lines(L41_135_10, reverse_line(M42_135_10))
% 293.41/42.81
% 293.41/42.81 [21453] CLOSURE : ~left_convergent_lines(L41_135_10, M42_135_10)
% 293.41/42.81
% 293.41/42.81 [428] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.41/42.81 -> [433] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.41/42.81
% 293.41/42.81 [433] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.41/42.81 -> [434] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.41/42.81 -> [435] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [434] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.41/42.81 -> [618] ~distinct_points(skolem_C8282, skolem_C8282)
% 293.41/42.81
% 293.41/42.81 [618] 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))))
% 293.41/42.81 -> [1165] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.41/42.81
% 293.41/42.81 [1165] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.41/42.81 -> [1167] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.81 -> [1168] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.41/42.81
% 293.41/42.81 [1167] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.81
% 293.41/42.81 [1168] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.41/42.81 -> [3273] distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.81 -> [3274] distinct_points(skolem_C8282, skolem_C8282)
% 293.41/42.81
% 293.41/42.81 [3274] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 293.41/42.81
% 293.41/42.81 [3273] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.41/42.81 -> [3420] ~distinct_lines(N27_56_3, N27_56_3)
% 293.41/42.81
% 293.41/42.81 [3420] 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))))
% 293.41/42.81 -> [3447] (distinct_lines(N27_56_3, N27_56_3) => (distinct_lines(N27_56_3, N27_56_3) | distinct_lines(N27_56_3, N27_56_3)))
% 293.41/42.81
% 293.41/42.81 [3447] 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)))
% 293.41/42.81 -> [3448] ~distinct_lines(N27_56_3, N27_56_3)
% 293.41/42.81 -> [3449] (distinct_lines(N27_56_3, N27_56_3) | distinct_lines(N27_56_3, N27_56_3))
% 293.41/42.81
% 293.41/42.81 [3449] BETA_OR : (distinct_lines(N27_56_3, N27_56_3) | distinct_lines(N27_56_3, N27_56_3))
% 293.41/42.81 -> [3450] distinct_lines(N27_56_3, N27_56_3)
% 293.41/42.81 -> [3451] distinct_lines(N27_56_3, N27_56_3)
% 293.41/42.81
% 293.41/42.81 [3451] CLOSURE : distinct_lines(N27_56_3, N27_56_3)
% 293.41/42.81
% 293.41/42.81 [3450] CLOSURE : distinct_lines(N27_56_3, N27_56_3)
% 293.41/42.81
% 293.41/42.81 [3448] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.41/42.81 -> [3498] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.81
% 293.41/42.81 [3498] 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))))
% 293.41/42.81 -> [3552] (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))))
% 293.41/42.81
% 293.41/42.81 [3552] 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))))
% 293.41/42.81 -> [3553] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.81 -> [3554] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.41/42.81
% 293.41/42.81 [3553] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.81
% 293.41/42.81 [3554] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.41/42.81 -> [5782] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.81 -> [5783] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.81
% 293.41/42.81 [5783] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.81
% 293.41/42.81 [5782] 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))))))
% 293.41/42.81 -> [6337] ((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)))))
% 293.41/42.81
% 293.41/42.81 [6337] 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)))))
% 293.41/42.81 -> [6338] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.81 -> [6339] ((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))))
% 293.41/42.81
% 293.41/42.81 [6338] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.81 -> [6352] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.81 -> [6353] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.81
% 293.41/42.81 [6353] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.81
% 293.41/42.81 [6352] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.81
% 293.41/42.81 [6339] 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))))
% 293.41/42.81 -> [8798] (unequally_directed_lines(skolem_M7878, N34_39_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_39_6)))
% 293.41/42.81 -> [8799] (unequally_directed_lines(skolem_N7979, N34_39_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_39_6)))
% 293.41/42.81
% 293.41/42.81 [8799] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_39_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_39_6)))
% 293.41/42.81 -> [8802] unequally_directed_lines(skolem_N7979, N34_39_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_39_6))
% 293.41/42.81
% 293.41/42.81 [8802] 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)))))
% 293.41/42.81 -> [9011] ((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)))))
% 293.41/42.81
% 293.41/42.81 [9011] 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)))))
% 293.41/42.81 -> [9012] ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.41/42.81 -> [9013] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))
% 293.41/42.81
% 293.41/42.81 [9013] 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))))
% 293.41/42.81 -> [9016] unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.41/42.81 -> [9017] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.41/42.81
% 293.41/42.81 [9016] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.41/42.81
% 293.41/42.81 [9017] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [10352] ((unequally_directed_lines(skolem_N7979, M38_178_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_178_8))) => (left_convergent_lines(skolem_N7979, M38_178_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_178_8))))
% 293.41/42.81
% 293.41/42.81 [10352] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_178_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_178_8))) => (left_convergent_lines(skolem_N7979, M38_178_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_178_8))))
% 293.41/42.81 -> [10353] ~(unequally_directed_lines(skolem_N7979, M38_178_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_178_8)))
% 293.41/42.81 -> [10354] (left_convergent_lines(skolem_N7979, M38_178_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_178_8)))
% 293.41/42.81
% 293.41/42.81 [10354] BETA_OR : (left_convergent_lines(skolem_N7979, M38_178_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_178_8)))
% 293.41/42.81 -> [10356] left_convergent_lines(skolem_N7979, M38_178_8)
% 293.41/42.81 -> [10357] left_convergent_lines(skolem_N7979, reverse_line(M38_178_8))
% 293.41/42.81
% 293.41/42.81 [10357] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [10470] ~(left_apart_point(A39_338_9, L40_338_9) | left_apart_point(A39_338_9, reverse_line(L40_338_9)))
% 293.41/42.81
% 293.41/42.81 [10470] ALPHA_NOT_OR : ~(left_apart_point(A39_338_9, L40_338_9) | left_apart_point(A39_338_9, reverse_line(L40_338_9)))
% 293.41/42.81 -> [10472] ~left_apart_point(A39_338_9, L40_338_9), ~left_apart_point(A39_338_9, reverse_line(L40_338_9))
% 293.41/42.81
% 293.41/42.81 [10472] CLOSURE : ~left_apart_point(A39_338_9, L40_338_9)
% 293.41/42.81
% 293.41/42.81 [10356] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [10533] ~(left_apart_point(A39_351_9, L40_351_9) | left_apart_point(A39_351_9, reverse_line(L40_351_9)))
% 293.41/42.81
% 293.41/42.81 [10533] ALPHA_NOT_OR : ~(left_apart_point(A39_351_9, L40_351_9) | left_apart_point(A39_351_9, reverse_line(L40_351_9)))
% 293.41/42.81 -> [10534] ~left_apart_point(A39_351_9, L40_351_9), ~left_apart_point(A39_351_9, reverse_line(L40_351_9))
% 293.41/42.81
% 293.41/42.81 [10534] CLOSURE : ~left_apart_point(A39_351_9, L40_351_9)
% 293.41/42.81
% 293.41/42.81 [10353] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_178_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_178_8)))
% 293.41/42.81 -> [10421] ~unequally_directed_lines(skolem_N7979, M38_178_8)
% 293.41/42.81 -> [10422] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_178_8))
% 293.41/42.81
% 293.41/42.81 [10422] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_178_8))
% 293.41/42.81
% 293.41/42.81 [10421] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_178_8)
% 293.41/42.81
% 293.41/42.81 [9012] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.41/42.81 -> [9045] ~line(skolem_L7777)
% 293.41/42.81 -> [9046] ~line(line_connecting(skolem_A8080, skolem_B8181))
% 293.41/42.81
% 293.41/42.81 [9046] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [10215] ((unequally_directed_lines(skolem_N7979, M38_169_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_169_8))) => (left_convergent_lines(skolem_N7979, M38_169_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_169_8))))
% 293.41/42.81
% 293.41/42.81 [10215] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_169_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_169_8))) => (left_convergent_lines(skolem_N7979, M38_169_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_169_8))))
% 293.41/42.81 -> [10216] ~(unequally_directed_lines(skolem_N7979, M38_169_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_169_8)))
% 293.41/42.81 -> [10217] (left_convergent_lines(skolem_N7979, M38_169_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_169_8)))
% 293.41/42.81
% 293.41/42.81 [10216] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_169_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_169_8)))
% 293.41/42.81 -> [10256] ~unequally_directed_lines(skolem_N7979, M38_169_8)
% 293.41/42.81 -> [10257] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_169_8))
% 293.41/42.81
% 293.41/42.81 [10257] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_169_8))
% 293.41/42.81
% 293.41/42.81 [10256] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_169_8)
% 293.41/42.81
% 293.41/42.81 [10217] BETA_OR : (left_convergent_lines(skolem_N7979, M38_169_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_169_8)))
% 293.41/42.81 -> [10220] left_convergent_lines(skolem_N7979, M38_169_8)
% 293.41/42.81 -> [10221] left_convergent_lines(skolem_N7979, reverse_line(M38_169_8))
% 293.41/42.81
% 293.41/42.81 [10221] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [10430] ~(left_apart_point(A39_328_9, L40_328_9) | left_apart_point(A39_328_9, reverse_line(L40_328_9)))
% 293.41/42.81
% 293.41/42.81 [10430] ALPHA_NOT_OR : ~(left_apart_point(A39_328_9, L40_328_9) | left_apart_point(A39_328_9, reverse_line(L40_328_9)))
% 293.41/42.81 -> [10431] ~left_apart_point(A39_328_9, L40_328_9), ~left_apart_point(A39_328_9, reverse_line(L40_328_9))
% 293.41/42.81
% 293.41/42.81 [10431] CLOSURE : ~left_apart_point(A39_328_9, L40_328_9)
% 293.41/42.81
% 293.41/42.81 [10220] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [10481] ~(left_apart_point(A39_341_9, L40_341_9) | left_apart_point(A39_341_9, reverse_line(L40_341_9)))
% 293.41/42.81
% 293.41/42.81 [10481] ALPHA_NOT_OR : ~(left_apart_point(A39_341_9, L40_341_9) | left_apart_point(A39_341_9, reverse_line(L40_341_9)))
% 293.41/42.81 -> [10485] ~left_apart_point(A39_341_9, L40_341_9), ~left_apart_point(A39_341_9, reverse_line(L40_341_9))
% 293.41/42.81
% 293.41/42.81 [10485] CLOSURE : ~left_apart_point(A39_341_9, L40_341_9)
% 293.41/42.81
% 293.41/42.81 [9045] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [9199] ((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))))
% 293.41/42.81
% 293.41/42.81 [9199] 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))))
% 293.41/42.81 -> [9200] ~(unequally_directed_lines(skolem_N7979, M38_121_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_121_8)))
% 293.41/42.81 -> [9201] (left_convergent_lines(skolem_N7979, M38_121_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_121_8)))
% 293.41/42.81
% 293.41/42.81 [9200] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_121_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_121_8)))
% 293.41/42.81 -> [9239] ~unequally_directed_lines(skolem_N7979, M38_121_8)
% 293.41/42.81 -> [9240] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_121_8))
% 293.41/42.81
% 293.41/42.81 [9240] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_121_8))
% 293.41/42.81
% 293.41/42.81 [9239] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_121_8)
% 293.41/42.81
% 293.41/42.81 [9201] BETA_OR : (left_convergent_lines(skolem_N7979, M38_121_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_121_8)))
% 293.41/42.81 -> [9202] left_convergent_lines(skolem_N7979, M38_121_8)
% 293.41/42.81 -> [9203] left_convergent_lines(skolem_N7979, reverse_line(M38_121_8))
% 293.41/42.81
% 293.41/42.81 [9202] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [9305] ~(left_apart_point(A39_224_9, L40_224_9) | left_apart_point(A39_224_9, reverse_line(L40_224_9)))
% 293.41/42.81
% 293.41/42.81 [9305] ALPHA_NOT_OR : ~(left_apart_point(A39_224_9, L40_224_9) | left_apart_point(A39_224_9, reverse_line(L40_224_9)))
% 293.41/42.81 -> [9307] ~left_apart_point(A39_224_9, L40_224_9), ~left_apart_point(A39_224_9, reverse_line(L40_224_9))
% 293.41/42.81
% 293.41/42.81 [9307] CLOSURE : ~left_apart_point(A39_224_9, L40_224_9)
% 293.41/42.81
% 293.41/42.81 [9203] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [11323] ~(left_apart_point(A39_408_9, L40_408_9) | left_apart_point(A39_408_9, reverse_line(L40_408_9)))
% 293.41/42.81
% 293.41/42.81 [11323] ALPHA_NOT_OR : ~(left_apart_point(A39_408_9, L40_408_9) | left_apart_point(A39_408_9, reverse_line(L40_408_9)))
% 293.41/42.81 -> [11324] ~left_apart_point(A39_408_9, L40_408_9), ~left_apart_point(A39_408_9, reverse_line(L40_408_9))
% 293.41/42.81
% 293.41/42.81 [11324] CLOSURE : ~left_apart_point(A39_408_9, L40_408_9)
% 293.41/42.81
% 293.41/42.81 [8798] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_39_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_39_6)))
% 293.41/42.81 -> [8827] unequally_directed_lines(skolem_M7878, N34_39_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_39_6))
% 293.41/42.81
% 293.41/42.81 [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)))))
% 293.41/42.81 -> [9064] ((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)))))
% 293.41/42.81
% 293.41/42.81 [9064] 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)))))
% 293.41/42.81 -> [9066] ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.41/42.81 -> [9067] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))
% 293.41/42.81
% 293.41/42.81 [9066] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.41/42.81 -> [9090] ~line(skolem_L7777)
% 293.41/42.81 -> [9091] ~line(line_connecting(skolem_A8080, skolem_B8181))
% 293.41/42.81
% 293.41/42.81 [9091] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [10118] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.81
% 293.41/42.81 [10118] 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))))
% 293.41/42.81 -> [10120] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [10121] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81
% 293.41/42.81 [10120] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [10157] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [10158] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [10158] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [10157] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [10121] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [10127] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [10128] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [10128] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [10233] ~(left_apart_point(A39_313_9, L40_313_9) | left_apart_point(A39_313_9, reverse_line(L40_313_9)))
% 293.41/42.81
% 293.41/42.81 [10233] ALPHA_NOT_OR : ~(left_apart_point(A39_313_9, L40_313_9) | left_apart_point(A39_313_9, reverse_line(L40_313_9)))
% 293.41/42.81 -> [10235] ~left_apart_point(A39_313_9, L40_313_9), ~left_apart_point(A39_313_9, reverse_line(L40_313_9))
% 293.41/42.81
% 293.41/42.81 [10235] CLOSURE : ~left_apart_point(A39_313_9, L40_313_9)
% 293.41/42.81
% 293.41/42.81 [10127] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [10344] ~(left_apart_point(A39_323_9, L40_323_9) | left_apart_point(A39_323_9, reverse_line(L40_323_9)))
% 293.41/42.81
% 293.41/42.81 [10344] ALPHA_NOT_OR : ~(left_apart_point(A39_323_9, L40_323_9) | left_apart_point(A39_323_9, reverse_line(L40_323_9)))
% 293.41/42.81 -> [10345] ~left_apart_point(A39_323_9, L40_323_9), ~left_apart_point(A39_323_9, reverse_line(L40_323_9))
% 293.41/42.81
% 293.41/42.81 [10345] CLOSURE : ~left_apart_point(A39_323_9, L40_323_9)
% 293.41/42.81
% 293.41/42.81 [9090] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [10988] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.81
% 293.41/42.81 [10988] 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))))
% 293.41/42.81 -> [10989] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [10990] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81
% 293.41/42.81 [10990] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [10997] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [10998] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [10998] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [11238] ~(left_apart_point(A39_395_9, L40_395_9) | left_apart_point(A39_395_9, reverse_line(L40_395_9)))
% 293.41/42.81
% 293.41/42.81 [11238] ALPHA_NOT_OR : ~(left_apart_point(A39_395_9, L40_395_9) | left_apart_point(A39_395_9, reverse_line(L40_395_9)))
% 293.41/42.81 -> [11239] ~left_apart_point(A39_395_9, L40_395_9), ~left_apart_point(A39_395_9, reverse_line(L40_395_9))
% 293.41/42.81
% 293.41/42.81 [11239] CLOSURE : ~left_apart_point(A39_395_9, L40_395_9)
% 293.41/42.81
% 293.41/42.81 [10997] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [11330] ~(left_apart_point(A39_409_9, L40_409_9) | left_apart_point(A39_409_9, reverse_line(L40_409_9)))
% 293.41/42.81
% 293.41/42.81 [11330] ALPHA_NOT_OR : ~(left_apart_point(A39_409_9, L40_409_9) | left_apart_point(A39_409_9, reverse_line(L40_409_9)))
% 293.41/42.81 -> [11334] ~left_apart_point(A39_409_9, L40_409_9), ~left_apart_point(A39_409_9, reverse_line(L40_409_9))
% 293.41/42.81
% 293.41/42.81 [11334] CLOSURE : ~left_apart_point(A39_409_9, L40_409_9)
% 293.41/42.81
% 293.41/42.81 [10989] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [11055] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [11056] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [11056] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [11055] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [9067] 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))))
% 293.41/42.81 -> [9068] unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.41/42.81 -> [9069] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.41/42.81
% 293.41/42.81 [9068] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.41/42.81
% 293.41/42.81 [9069] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [13678] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.81
% 293.41/42.81 [13678] 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))))
% 293.41/42.81 -> [13681] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [13682] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81
% 293.41/42.81 [13682] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [13685] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [13686] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [13685] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [13914] ~(left_apart_point(A39_682_9, L40_682_9) | left_apart_point(A39_682_9, reverse_line(L40_682_9)))
% 293.41/42.81
% 293.41/42.81 [13914] ALPHA_NOT_OR : ~(left_apart_point(A39_682_9, L40_682_9) | left_apart_point(A39_682_9, reverse_line(L40_682_9)))
% 293.41/42.81 -> [13915] ~left_apart_point(A39_682_9, L40_682_9), ~left_apart_point(A39_682_9, reverse_line(L40_682_9))
% 293.41/42.81
% 293.41/42.81 [13915] CLOSURE : ~left_apart_point(A39_682_9, L40_682_9)
% 293.41/42.81
% 293.41/42.81 [13686] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [13918] ~(left_apart_point(A39_683_9, L40_683_9) | left_apart_point(A39_683_9, reverse_line(L40_683_9)))
% 293.41/42.81
% 293.41/42.81 [13918] ALPHA_NOT_OR : ~(left_apart_point(A39_683_9, L40_683_9) | left_apart_point(A39_683_9, reverse_line(L40_683_9)))
% 293.41/42.81 -> [13921] ~left_apart_point(A39_683_9, L40_683_9), ~left_apart_point(A39_683_9, reverse_line(L40_683_9))
% 293.41/42.81
% 293.41/42.81 [13921] CLOSURE : ~left_apart_point(A39_683_9, L40_683_9)
% 293.41/42.81
% 293.41/42.81 [13681] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [13731] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [13732] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [13732] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [13731] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [435] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.41/42.81 -> [1144] ~distinct_points(skolem_C8282, skolem_C8282)
% 293.41/42.81
% 293.41/42.81 [1144] 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))))
% 293.41/42.81 -> [2430] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.41/42.81
% 293.41/42.81 [2430] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.41/42.81 -> [2431] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.81 -> [2432] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.41/42.81
% 293.41/42.81 [2431] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.81
% 293.41/42.81 [2432] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.41/42.81 -> [4220] distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.81 -> [4221] distinct_points(skolem_C8282, skolem_C8282)
% 293.41/42.81
% 293.41/42.81 [4221] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 293.41/42.81
% 293.41/42.81 [4220] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.41/42.81 -> [6684] ~distinct_lines(N27_241_3, N27_241_3)
% 293.41/42.81
% 293.41/42.81 [6684] 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))))
% 293.41/42.81 -> [7393] (distinct_lines(N27_241_3, N27_241_3) => (distinct_lines(N27_241_3, N27_241_3) | distinct_lines(N27_241_3, N27_241_3)))
% 293.41/42.81
% 293.41/42.81 [7393] BETA_IMPLY : (distinct_lines(N27_241_3, N27_241_3) => (distinct_lines(N27_241_3, N27_241_3) | distinct_lines(N27_241_3, N27_241_3)))
% 293.41/42.81 -> [7394] ~distinct_lines(N27_241_3, N27_241_3)
% 293.41/42.81 -> [7395] (distinct_lines(N27_241_3, N27_241_3) | distinct_lines(N27_241_3, N27_241_3))
% 293.41/42.81
% 293.41/42.81 [7395] BETA_OR : (distinct_lines(N27_241_3, N27_241_3) | distinct_lines(N27_241_3, N27_241_3))
% 293.41/42.81 -> [7396] distinct_lines(N27_241_3, N27_241_3)
% 293.41/42.81 -> [7397] distinct_lines(N27_241_3, N27_241_3)
% 293.41/42.81
% 293.41/42.81 [7397] CLOSURE : distinct_lines(N27_241_3, N27_241_3)
% 293.41/42.81
% 293.41/42.81 [7396] CLOSURE : distinct_lines(N27_241_3, N27_241_3)
% 293.41/42.81
% 293.41/42.81 [7394] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.41/42.81 -> [7743] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.81
% 293.41/42.81 [7743] 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))))
% 293.41/42.81 -> [7982] (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))))
% 293.41/42.81
% 293.41/42.81 [7982] 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))))
% 293.41/42.81 -> [7984] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.81 -> [7985] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.41/42.81
% 293.41/42.81 [7984] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.81
% 293.41/42.81 [7985] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.41/42.81 -> [10149] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.81 -> [10150] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.81
% 293.41/42.81 [10150] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.81
% 293.41/42.81 [10149] 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))))))
% 293.41/42.81 -> [12337] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_178_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_178_6))) | (unequally_directed_lines(skolem_N7979, N34_178_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_178_6)))))
% 293.41/42.81
% 293.41/42.81 [12337] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_178_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_178_6))) | (unequally_directed_lines(skolem_N7979, N34_178_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_178_6)))))
% 293.41/42.81 -> [12340] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.81 -> [12341] ((unequally_directed_lines(skolem_M7878, N34_178_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_178_6))) | (unequally_directed_lines(skolem_N7979, N34_178_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_178_6))))
% 293.41/42.81
% 293.41/42.81 [12340] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.81 -> [12391] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.81 -> [12392] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.81
% 293.41/42.81 [12392] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.81
% 293.41/42.81 [12391] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.81
% 293.41/42.81 [12341] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_178_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_178_6))) | (unequally_directed_lines(skolem_N7979, N34_178_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_178_6))))
% 293.41/42.81 -> [21448] (unequally_directed_lines(skolem_M7878, N34_178_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_178_6)))
% 293.41/42.81 -> [21449] (unequally_directed_lines(skolem_N7979, N34_178_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_178_6)))
% 293.41/42.81
% 293.41/42.81 [21449] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_178_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_178_6)))
% 293.41/42.81 -> [21452] unequally_directed_lines(skolem_N7979, N34_178_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_178_6))
% 293.41/42.81
% 293.41/42.81 [21452] 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)))))
% 293.41/42.81 -> [21549] ((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)))))
% 293.41/42.81
% 293.41/42.81 [21549] 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)))))
% 293.41/42.81 -> [21550] ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.41/42.81 -> [21551] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))
% 293.41/42.81
% 293.41/42.81 [21550] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.41/42.81 -> [21582] ~line(skolem_L7777)
% 293.41/42.81 -> [21583] ~line(line_connecting(skolem_A8080, skolem_B8181))
% 293.41/42.81
% 293.41/42.81 [21583] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [21628] ((unequally_directed_lines(skolem_N7979, M38_849_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_849_8))) => (left_convergent_lines(skolem_N7979, M38_849_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_849_8))))
% 293.41/42.81
% 293.41/42.81 [21628] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_849_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_849_8))) => (left_convergent_lines(skolem_N7979, M38_849_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_849_8))))
% 293.41/42.81 -> [21631] ~(unequally_directed_lines(skolem_N7979, M38_849_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_849_8)))
% 293.41/42.81 -> [21632] (left_convergent_lines(skolem_N7979, M38_849_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_849_8)))
% 293.41/42.81
% 293.41/42.81 [21632] BETA_OR : (left_convergent_lines(skolem_N7979, M38_849_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_849_8)))
% 293.41/42.81 -> [21639] left_convergent_lines(skolem_N7979, M38_849_8)
% 293.41/42.81 -> [21640] left_convergent_lines(skolem_N7979, reverse_line(M38_849_8))
% 293.41/42.81
% 293.41/42.81 [21640] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [21803] ~(left_apart_point(A39_1646_9, L40_1646_9) | left_apart_point(A39_1646_9, reverse_line(L40_1646_9)))
% 293.41/42.81
% 293.41/42.81 [21803] ALPHA_NOT_OR : ~(left_apart_point(A39_1646_9, L40_1646_9) | left_apart_point(A39_1646_9, reverse_line(L40_1646_9)))
% 293.41/42.81 -> [21808] ~left_apart_point(A39_1646_9, L40_1646_9), ~left_apart_point(A39_1646_9, reverse_line(L40_1646_9))
% 293.41/42.81
% 293.41/42.81 [21808] CLOSURE : ~left_apart_point(A39_1646_9, L40_1646_9)
% 293.41/42.81
% 293.41/42.81 [21639] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [22196] ~(left_apart_point(A39_1701_9, L40_1701_9) | left_apart_point(A39_1701_9, reverse_line(L40_1701_9)))
% 293.41/42.81
% 293.41/42.81 [22196] ALPHA_NOT_OR : ~(left_apart_point(A39_1701_9, L40_1701_9) | left_apart_point(A39_1701_9, reverse_line(L40_1701_9)))
% 293.41/42.81 -> [22200] ~left_apart_point(A39_1701_9, L40_1701_9), ~left_apart_point(A39_1701_9, reverse_line(L40_1701_9))
% 293.41/42.81
% 293.41/42.81 [22200] CLOSURE : ~left_apart_point(A39_1701_9, L40_1701_9)
% 293.41/42.81
% 293.41/42.81 [21631] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_849_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_849_8)))
% 293.41/42.81 -> [21700] ~unequally_directed_lines(skolem_N7979, M38_849_8)
% 293.41/42.81 -> [21701] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_849_8))
% 293.41/42.81
% 293.41/42.81 [21701] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_849_8))
% 293.41/42.81
% 293.41/42.81 [21700] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_849_8)
% 293.41/42.81
% 293.41/42.81 [21582] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [21686] ((unequally_directed_lines(skolem_N7979, M38_852_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_852_8))) => (left_convergent_lines(skolem_N7979, M38_852_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_852_8))))
% 293.41/42.81
% 293.41/42.81 [21686] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_852_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_852_8))) => (left_convergent_lines(skolem_N7979, M38_852_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_852_8))))
% 293.41/42.81 -> [21688] ~(unequally_directed_lines(skolem_N7979, M38_852_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_852_8)))
% 293.41/42.81 -> [21689] (left_convergent_lines(skolem_N7979, M38_852_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_852_8)))
% 293.41/42.81
% 293.41/42.81 [21689] BETA_OR : (left_convergent_lines(skolem_N7979, M38_852_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_852_8)))
% 293.41/42.81 -> [21691] left_convergent_lines(skolem_N7979, M38_852_8)
% 293.41/42.81 -> [21692] left_convergent_lines(skolem_N7979, reverse_line(M38_852_8))
% 293.41/42.81
% 293.41/42.81 [21692] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [22187] ~(left_apart_point(A39_1700_9, L40_1700_9) | left_apart_point(A39_1700_9, reverse_line(L40_1700_9)))
% 293.41/42.81
% 293.41/42.81 [22187] ALPHA_NOT_OR : ~(left_apart_point(A39_1700_9, L40_1700_9) | left_apart_point(A39_1700_9, reverse_line(L40_1700_9)))
% 293.41/42.81 -> [22189] ~left_apart_point(A39_1700_9, L40_1700_9), ~left_apart_point(A39_1700_9, reverse_line(L40_1700_9))
% 293.41/42.81
% 293.41/42.81 [22189] CLOSURE : ~left_apart_point(A39_1700_9, L40_1700_9)
% 293.41/42.81
% 293.41/42.81 [21691] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [22212] ~(left_apart_point(A39_1703_9, L40_1702_9) | left_apart_point(A39_1703_9, reverse_line(L40_1702_9)))
% 293.41/42.81
% 293.41/42.81 [22212] ALPHA_NOT_OR : ~(left_apart_point(A39_1703_9, L40_1702_9) | left_apart_point(A39_1703_9, reverse_line(L40_1702_9)))
% 293.41/42.81 -> [22217] ~left_apart_point(A39_1703_9, L40_1702_9), ~left_apart_point(A39_1703_9, reverse_line(L40_1702_9))
% 293.41/42.81
% 293.41/42.81 [22217] CLOSURE : ~left_apart_point(A39_1703_9, L40_1702_9)
% 293.41/42.81
% 293.41/42.81 [21688] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_852_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_852_8)))
% 293.41/42.81 -> [21716] ~unequally_directed_lines(skolem_N7979, M38_852_8)
% 293.41/42.81 -> [21717] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_852_8))
% 293.41/42.81
% 293.41/42.81 [21716] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_852_8)
% 293.41/42.81
% 293.41/42.81 [21717] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_852_8))
% 293.41/42.81
% 293.41/42.81 [21551] 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))))
% 293.41/42.81 -> [21557] unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.41/42.81 -> [21558] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.41/42.81
% 293.41/42.81 [21557] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.41/42.81
% 293.41/42.81 [21558] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [22857] ((unequally_directed_lines(skolem_N7979, M38_921_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_921_8))) => (left_convergent_lines(skolem_N7979, M38_921_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_921_8))))
% 293.41/42.81
% 293.41/42.81 [22857] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_921_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_921_8))) => (left_convergent_lines(skolem_N7979, M38_921_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_921_8))))
% 293.41/42.81 -> [22859] ~(unequally_directed_lines(skolem_N7979, M38_921_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_921_8)))
% 293.41/42.81 -> [22860] (left_convergent_lines(skolem_N7979, M38_921_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_921_8)))
% 293.41/42.81
% 293.41/42.81 [22860] BETA_OR : (left_convergent_lines(skolem_N7979, M38_921_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_921_8)))
% 293.41/42.81 -> [22866] left_convergent_lines(skolem_N7979, M38_921_8)
% 293.41/42.81 -> [22867] left_convergent_lines(skolem_N7979, reverse_line(M38_921_8))
% 293.41/42.81
% 293.41/42.81 [22867] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [22892] ~(left_apart_point(A39_1794_9, L40_1794_9) | left_apart_point(A39_1794_9, reverse_line(L40_1794_9)))
% 293.41/42.81
% 293.41/42.81 [22892] ALPHA_NOT_OR : ~(left_apart_point(A39_1794_9, L40_1794_9) | left_apart_point(A39_1794_9, reverse_line(L40_1794_9)))
% 293.41/42.81 -> [22896] ~left_apart_point(A39_1794_9, L40_1794_9), ~left_apart_point(A39_1794_9, reverse_line(L40_1794_9))
% 293.41/42.81
% 293.41/42.81 [22896] CLOSURE : ~left_apart_point(A39_1794_9, L40_1794_9)
% 293.41/42.81
% 293.41/42.81 [22866] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [22903] ~(left_apart_point(A39_1796_9, L40_1796_9) | left_apart_point(A39_1796_9, reverse_line(L40_1796_9)))
% 293.41/42.81
% 293.41/42.81 [22903] ALPHA_NOT_OR : ~(left_apart_point(A39_1796_9, L40_1796_9) | left_apart_point(A39_1796_9, reverse_line(L40_1796_9)))
% 293.41/42.81 -> [22906] ~left_apart_point(A39_1796_9, L40_1796_9), ~left_apart_point(A39_1796_9, reverse_line(L40_1796_9))
% 293.41/42.81
% 293.41/42.81 [22906] CLOSURE : ~left_apart_point(A39_1796_9, L40_1796_9)
% 293.41/42.81
% 293.41/42.81 [22859] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_921_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_921_8)))
% 293.41/42.81 -> [22874] ~unequally_directed_lines(skolem_N7979, M38_921_8)
% 293.41/42.81 -> [22875] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_921_8))
% 293.41/42.81
% 293.41/42.81 [22875] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_921_8))
% 293.41/42.81
% 293.41/42.81 [22874] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_921_8)
% 293.41/42.81
% 293.41/42.81 [21448] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_178_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_178_6)))
% 293.41/42.81 -> [21476] unequally_directed_lines(skolem_M7878, N34_178_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_178_6))
% 293.41/42.81
% 293.41/42.81 [21476] 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)))))
% 293.41/42.81 -> [21530] ((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))))
% 293.41/42.81
% 293.41/42.81 [21530] 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))))
% 293.41/42.81 -> [21533] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.41/42.81 -> [21534] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.41/42.81
% 293.41/42.81 [21533] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.41/42.81 -> [21574] ~line(reverse_line(skolem_N7979))
% 293.41/42.81 -> [21575] ~line(skolem_N7979)
% 293.41/42.81
% 293.41/42.81 [21575] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [21616] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.81
% 293.41/42.81 [21616] 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))))
% 293.41/42.81 -> [21617] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [21618] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81
% 293.41/42.81 [21618] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [21619] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [21620] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [21620] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [21794] ~(left_apart_point(A39_1643_9, L40_1643_9) | left_apart_point(A39_1643_9, reverse_line(L40_1643_9)))
% 293.41/42.81
% 293.41/42.81 [21794] ALPHA_NOT_OR : ~(left_apart_point(A39_1643_9, L40_1643_9) | left_apart_point(A39_1643_9, reverse_line(L40_1643_9)))
% 293.41/42.81 -> [21796] ~left_apart_point(A39_1643_9, L40_1643_9), ~left_apart_point(A39_1643_9, reverse_line(L40_1643_9))
% 293.41/42.81
% 293.41/42.81 [21796] CLOSURE : ~left_apart_point(A39_1643_9, L40_1643_9)
% 293.41/42.81
% 293.41/42.81 [21619] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [22079] ~(left_apart_point(A39_1681_9, L40_1681_9) | left_apart_point(A39_1681_9, reverse_line(L40_1681_9)))
% 293.41/42.81
% 293.41/42.81 [22079] ALPHA_NOT_OR : ~(left_apart_point(A39_1681_9, L40_1681_9) | left_apart_point(A39_1681_9, reverse_line(L40_1681_9)))
% 293.41/42.81 -> [22081] ~left_apart_point(A39_1681_9, L40_1681_9), ~left_apart_point(A39_1681_9, reverse_line(L40_1681_9))
% 293.41/42.81
% 293.41/42.81 [22081] CLOSURE : ~left_apart_point(A39_1681_9, L40_1681_9)
% 293.41/42.81
% 293.41/42.81 [21617] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.81 -> [21675] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81 -> [21676] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [21676] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.81
% 293.41/42.81 [21675] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.81
% 293.41/42.81 [21574] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [21656] ((unequally_directed_lines(skolem_M7878, M38_850_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_850_8))) => (left_convergent_lines(skolem_M7878, M38_850_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_850_8))))
% 293.41/42.81
% 293.41/42.81 [21656] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_850_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_850_8))) => (left_convergent_lines(skolem_M7878, M38_850_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_850_8))))
% 293.41/42.81 -> [21657] ~(unequally_directed_lines(skolem_M7878, M38_850_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_850_8)))
% 293.41/42.81 -> [21658] (left_convergent_lines(skolem_M7878, M38_850_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_850_8)))
% 293.41/42.81
% 293.41/42.81 [21657] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_850_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_850_8)))
% 293.41/42.81 -> [21708] ~unequally_directed_lines(skolem_M7878, M38_850_8)
% 293.41/42.81 -> [21709] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_850_8))
% 293.41/42.81
% 293.41/42.81 [21708] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_850_8)
% 293.41/42.81
% 293.41/42.81 [21709] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_850_8))
% 293.41/42.81
% 293.41/42.81 [21658] BETA_OR : (left_convergent_lines(skolem_M7878, M38_850_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_850_8)))
% 293.41/42.81 -> [21667] left_convergent_lines(skolem_M7878, M38_850_8)
% 293.41/42.81 -> [21668] left_convergent_lines(skolem_M7878, reverse_line(M38_850_8))
% 293.41/42.81
% 293.41/42.81 [21667] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [22835] ~(left_apart_point(A39_1784_9, L40_1784_9) | left_apart_point(A39_1784_9, reverse_line(L40_1784_9)))
% 293.41/42.81
% 293.41/42.81 [22835] ALPHA_NOT_OR : ~(left_apart_point(A39_1784_9, L40_1784_9) | left_apart_point(A39_1784_9, reverse_line(L40_1784_9)))
% 293.41/42.81 -> [22837] ~left_apart_point(A39_1784_9, L40_1784_9), ~left_apart_point(A39_1784_9, reverse_line(L40_1784_9))
% 293.41/42.81
% 293.41/42.81 [22837] CLOSURE : ~left_apart_point(A39_1784_9, L40_1784_9)
% 293.41/42.81
% 293.41/42.81 [21668] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.81 -> [22999] ~(left_apart_point(A39_1807_9, L40_1807_9) | left_apart_point(A39_1807_9, reverse_line(L40_1807_9)))
% 293.41/42.81
% 293.41/42.81 [22999] ALPHA_NOT_OR : ~(left_apart_point(A39_1807_9, L40_1807_9) | left_apart_point(A39_1807_9, reverse_line(L40_1807_9)))
% 293.41/42.81 -> [23003] ~left_apart_point(A39_1807_9, L40_1807_9), ~left_apart_point(A39_1807_9, reverse_line(L40_1807_9))
% 293.41/42.81
% 293.41/42.81 [23003] CLOSURE : ~left_apart_point(A39_1807_9, L40_1807_9)
% 293.41/42.81
% 293.41/42.81 [21534] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.41/42.81 -> [21538] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 293.41/42.81 -> [21539] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.81
% 293.41/42.81 [21539] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.81
% 293.41/42.81 [21538] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.81 -> [25189] ((unequally_directed_lines(skolem_M7878, M38_1089_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1089_8))) => (left_convergent_lines(skolem_M7878, M38_1089_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1089_8))))
% 293.41/42.81
% 293.41/42.81 [25189] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_1089_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1089_8))) => (left_convergent_lines(skolem_M7878, M38_1089_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1089_8))))
% 293.41/42.81 -> [25193] ~(unequally_directed_lines(skolem_M7878, M38_1089_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1089_8)))
% 293.41/42.81 -> [25194] (left_convergent_lines(skolem_M7878, M38_1089_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1089_8)))
% 293.41/42.81
% 293.41/42.81 [25193] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_1089_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1089_8)))
% 293.41/42.81 -> [25206] ~unequally_directed_lines(skolem_M7878, M38_1089_8)
% 293.41/42.81 -> [25207] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_1089_8))
% 293.41/42.81
% 293.41/42.81 [25207] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_1089_8))
% 293.41/42.81
% 293.41/42.81 [25206] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_1089_8)
% 293.41/42.81
% 293.41/42.81 [25194] BETA_OR : (left_convergent_lines(skolem_M7878, M38_1089_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1089_8)))
% 293.41/42.81 -> [25199] left_convergent_lines(skolem_M7878, M38_1089_8)
% 293.41/42.81 -> [25200] left_convergent_lines(skolem_M7878, reverse_line(M38_1089_8))
% 293.41/42.81
% 293.41/42.81 [25200] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [25267] ~(left_apart_point(A39_2150_9, L40_2150_9) | left_apart_point(A39_2150_9, reverse_line(L40_2150_9)))
% 293.41/42.82
% 293.41/42.82 [25267] ALPHA_NOT_OR : ~(left_apart_point(A39_2150_9, L40_2150_9) | left_apart_point(A39_2150_9, reverse_line(L40_2150_9)))
% 293.41/42.82 -> [25271] ~left_apart_point(A39_2150_9, L40_2150_9), ~left_apart_point(A39_2150_9, reverse_line(L40_2150_9))
% 293.41/42.82
% 293.41/42.82 [25271] CLOSURE : ~left_apart_point(A39_2150_9, L40_2150_9)
% 293.41/42.82
% 293.41/42.82 [25199] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [25276] ~(left_apart_point(A39_2153_9, L40_2153_9) | left_apart_point(A39_2153_9, reverse_line(L40_2153_9)))
% 293.41/42.82
% 293.41/42.82 [25276] ALPHA_NOT_OR : ~(left_apart_point(A39_2153_9, L40_2153_9) | left_apart_point(A39_2153_9, reverse_line(L40_2153_9)))
% 293.41/42.82 -> [25278] ~left_apart_point(A39_2153_9, L40_2153_9), ~left_apart_point(A39_2153_9, reverse_line(L40_2153_9))
% 293.41/42.82
% 293.41/42.82 [25278] CLOSURE : ~left_apart_point(A39_2153_9, L40_2153_9)
% 293.41/42.82
% 293.41/42.82 [194] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.41/42.82 -> [218] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.41/42.82
% 293.41/42.82 [218] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.41/42.82 -> [223] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 293.41/42.82 -> [224] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.41/42.82
% 293.41/42.82 [224] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.41/42.82 -> [237] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.41/42.82
% 293.41/42.82 [237] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.41/42.82 -> [242] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.41/42.82 -> [243] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [242] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.41/42.82 -> [972] ~distinct_points(skolem_C8282, skolem_C8282)
% 293.41/42.82
% 293.41/42.82 [972] 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))))
% 293.41/42.82 -> [1044] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.41/42.82
% 293.41/42.82 [1044] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.41/42.82 -> [1046] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.82 -> [1047] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.41/42.82
% 293.41/42.82 [1046] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.82
% 293.41/42.82 [1047] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.41/42.82 -> [1803] distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.82 -> [1804] distinct_points(skolem_C8282, skolem_C8282)
% 293.41/42.82
% 293.41/42.82 [1804] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 293.41/42.82
% 293.41/42.82 [1803] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.41/42.82 -> [2049] ~distinct_lines(N27_6_3, N27_6_3)
% 293.41/42.82
% 293.41/42.82 [2049] 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))))
% 293.41/42.82 -> [2059] (distinct_lines(N27_6_3, N27_6_3) => (distinct_lines(N27_6_3, N27_6_3) | distinct_lines(N27_6_3, N27_6_3)))
% 293.41/42.82
% 293.41/42.82 [2059] 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)))
% 293.41/42.82 -> [2062] ~distinct_lines(N27_6_3, N27_6_3)
% 293.41/42.82 -> [2063] (distinct_lines(N27_6_3, N27_6_3) | distinct_lines(N27_6_3, N27_6_3))
% 293.41/42.82
% 293.41/42.82 [2063] BETA_OR : (distinct_lines(N27_6_3, N27_6_3) | distinct_lines(N27_6_3, N27_6_3))
% 293.41/42.82 -> [2066] distinct_lines(N27_6_3, N27_6_3)
% 293.41/42.82 -> [2067] distinct_lines(N27_6_3, N27_6_3)
% 293.41/42.82
% 293.41/42.82 [2067] CLOSURE : distinct_lines(N27_6_3, N27_6_3)
% 293.41/42.82
% 293.41/42.82 [2066] CLOSURE : distinct_lines(N27_6_3, N27_6_3)
% 293.41/42.82
% 293.41/42.82 [2062] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.41/42.82 -> [2085] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.82
% 293.41/42.82 [2085] 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))))
% 293.41/42.82 -> [2225] (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)))
% 293.41/42.82
% 293.41/42.82 [2225] 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)))
% 293.41/42.82 -> [2226] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82 -> [2227] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [2226] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [2227] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.41/42.82 -> [4323] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.82 -> [4324] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.41/42.82
% 293.41/42.82 [4323] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.82
% 293.41/42.82 [4324] 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))))))
% 293.41/42.82 -> [4436] ((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)))))
% 293.41/42.82
% 293.41/42.82 [4436] 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)))))
% 293.41/42.82 -> [4437] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [4438] ((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))))
% 293.41/42.82
% 293.41/42.82 [4437] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [4446] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82 -> [4447] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [4446] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82
% 293.41/42.82 [4447] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [4438] 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))))
% 293.41/42.82 -> [5792] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [5793] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.41/42.82
% 293.41/42.82 [5792] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [5846] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [5846] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.82
% 293.41/42.82 [5793] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [5795] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [5795] 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)))))
% 293.41/42.82 -> [6482] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.41/42.82
% 293.41/42.82 [6482] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.41/42.82 -> [6488] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.41/42.82 -> [6489] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.41/42.82
% 293.41/42.82 [6488] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.41/42.82 -> [6548] ~line(skolem_M7878)
% 293.41/42.82 -> [6549] ~line(skolem_M7878)
% 293.41/42.82
% 293.41/42.82 [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)))))
% 293.41/42.82 -> [6821] ((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))))
% 293.41/42.82
% 293.41/42.82 [6821] 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))))
% 293.41/42.82 -> [6822] ~(unequally_directed_lines(skolem_N7979, M38_45_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_45_8)))
% 293.41/42.82 -> [6823] (left_convergent_lines(skolem_N7979, M38_45_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_45_8)))
% 293.41/42.82
% 293.41/42.82 [6823] BETA_OR : (left_convergent_lines(skolem_N7979, M38_45_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_45_8)))
% 293.41/42.82 -> [6825] left_convergent_lines(skolem_N7979, M38_45_8)
% 293.41/42.82 -> [6826] left_convergent_lines(skolem_N7979, reverse_line(M38_45_8))
% 293.41/42.82
% 293.41/42.82 [6826] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [7088] ~(left_apart_point(A39_88_9, L40_88_9) | left_apart_point(A39_88_9, reverse_line(L40_88_9)))
% 293.41/42.82
% 293.41/42.82 [7088] ALPHA_NOT_OR : ~(left_apart_point(A39_88_9, L40_88_9) | left_apart_point(A39_88_9, reverse_line(L40_88_9)))
% 293.41/42.82 -> [7089] ~left_apart_point(A39_88_9, L40_88_9), ~left_apart_point(A39_88_9, reverse_line(L40_88_9))
% 293.41/42.82
% 293.41/42.82 [7089] CLOSURE : ~left_apart_point(A39_88_9, L40_88_9)
% 293.41/42.82
% 293.41/42.82 [6825] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [7191] ~(left_apart_point(A39_92_9, L40_92_9) | left_apart_point(A39_92_9, reverse_line(L40_92_9)))
% 293.41/42.82
% 293.41/42.82 [7191] ALPHA_NOT_OR : ~(left_apart_point(A39_92_9, L40_92_9) | left_apart_point(A39_92_9, reverse_line(L40_92_9)))
% 293.41/42.82 -> [7194] ~left_apart_point(A39_92_9, L40_92_9), ~left_apart_point(A39_92_9, reverse_line(L40_92_9))
% 293.41/42.82
% 293.41/42.82 [7194] CLOSURE : ~left_apart_point(A39_92_9, L40_92_9)
% 293.41/42.82
% 293.41/42.82 [6822] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_45_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_45_8)))
% 293.41/42.82 -> [6900] ~unequally_directed_lines(skolem_N7979, M38_45_8)
% 293.41/42.82 -> [6901] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_45_8))
% 293.41/42.82
% 293.41/42.82 [6901] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_45_8))
% 293.41/42.82
% 293.41/42.82 [6900] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_45_8)
% 293.41/42.82
% 293.41/42.82 [6548] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [6877] ((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))))
% 293.41/42.82
% 293.41/42.82 [6877] 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))))
% 293.41/42.82 -> [6880] ~(unequally_directed_lines(skolem_N7979, M38_47_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_47_8)))
% 293.41/42.82 -> [6881] (left_convergent_lines(skolem_N7979, M38_47_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_47_8)))
% 293.41/42.82
% 293.41/42.82 [6880] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_47_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_47_8)))
% 293.41/42.82 -> [6937] ~unequally_directed_lines(skolem_N7979, M38_47_8)
% 293.41/42.82 -> [6938] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_47_8))
% 293.41/42.82
% 293.41/42.82 [6938] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_47_8))
% 293.41/42.82
% 293.41/42.82 [6937] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_47_8)
% 293.41/42.82
% 293.41/42.82 [6881] BETA_OR : (left_convergent_lines(skolem_N7979, M38_47_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_47_8)))
% 293.41/42.82 -> [6892] left_convergent_lines(skolem_N7979, M38_47_8)
% 293.41/42.82 -> [6893] left_convergent_lines(skolem_N7979, reverse_line(M38_47_8))
% 293.41/42.82
% 293.41/42.82 [6893] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [7183] ~(left_apart_point(A39_91_9, L40_91_9) | left_apart_point(A39_91_9, reverse_line(L40_91_9)))
% 293.41/42.82
% 293.41/42.82 [7183] ALPHA_NOT_OR : ~(left_apart_point(A39_91_9, L40_91_9) | left_apart_point(A39_91_9, reverse_line(L40_91_9)))
% 293.41/42.82 -> [7185] ~left_apart_point(A39_91_9, L40_91_9), ~left_apart_point(A39_91_9, reverse_line(L40_91_9))
% 293.41/42.82
% 293.41/42.82 [7185] CLOSURE : ~left_apart_point(A39_91_9, L40_91_9)
% 293.41/42.82
% 293.41/42.82 [6892] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [7305] ~(left_apart_point(A39_100_9, L40_100_9) | left_apart_point(A39_100_9, reverse_line(L40_100_9)))
% 293.41/42.82
% 293.41/42.82 [7305] ALPHA_NOT_OR : ~(left_apart_point(A39_100_9, L40_100_9) | left_apart_point(A39_100_9, reverse_line(L40_100_9)))
% 293.41/42.82 -> [7306] ~left_apart_point(A39_100_9, L40_100_9), ~left_apart_point(A39_100_9, reverse_line(L40_100_9))
% 293.41/42.82
% 293.41/42.82 [7306] CLOSURE : ~left_apart_point(A39_100_9, L40_100_9)
% 293.41/42.82
% 293.41/42.82 [6489] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [6492] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.82 -> [6493] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [6492] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.82
% 293.41/42.82 [6493] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [6831] ((unequally_directed_lines(skolem_N7979, M38_46_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_46_8))) => (left_convergent_lines(skolem_N7979, M38_46_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_46_8))))
% 293.41/42.82
% 293.41/42.82 [6831] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_46_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_46_8))) => (left_convergent_lines(skolem_N7979, M38_46_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_46_8))))
% 293.41/42.82 -> [6833] ~(unequally_directed_lines(skolem_N7979, M38_46_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_46_8)))
% 293.41/42.82 -> [6834] (left_convergent_lines(skolem_N7979, M38_46_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_46_8)))
% 293.41/42.82
% 293.41/42.82 [6834] BETA_OR : (left_convergent_lines(skolem_N7979, M38_46_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_46_8)))
% 293.41/42.82 -> [6838] left_convergent_lines(skolem_N7979, M38_46_8)
% 293.41/42.82 -> [6839] left_convergent_lines(skolem_N7979, reverse_line(M38_46_8))
% 293.41/42.82
% 293.41/42.82 [6839] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [7091] ~(left_apart_point(A39_89_9, L40_89_9) | left_apart_point(A39_89_9, reverse_line(L40_89_9)))
% 293.41/42.82
% 293.41/42.82 [7091] ALPHA_NOT_OR : ~(left_apart_point(A39_89_9, L40_89_9) | left_apart_point(A39_89_9, reverse_line(L40_89_9)))
% 293.41/42.82 -> [7094] ~left_apart_point(A39_89_9, L40_89_9), ~left_apart_point(A39_89_9, reverse_line(L40_89_9))
% 293.41/42.82
% 293.41/42.82 [7094] CLOSURE : ~left_apart_point(A39_89_9, L40_89_9)
% 293.41/42.82
% 293.41/42.82 [6838] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [7198] ~(left_apart_point(A39_93_9, L40_93_9) | left_apart_point(A39_93_9, reverse_line(L40_93_9)))
% 293.41/42.82
% 293.41/42.82 [7198] ALPHA_NOT_OR : ~(left_apart_point(A39_93_9, L40_93_9) | left_apart_point(A39_93_9, reverse_line(L40_93_9)))
% 293.41/42.82 -> [7199] ~left_apart_point(A39_93_9, L40_93_9), ~left_apart_point(A39_93_9, reverse_line(L40_93_9))
% 293.41/42.82
% 293.41/42.82 [7199] CLOSURE : ~left_apart_point(A39_93_9, L40_93_9)
% 293.41/42.82
% 293.41/42.82 [6833] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_46_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_46_8)))
% 293.41/42.82 -> [6902] ~unequally_directed_lines(skolem_N7979, M38_46_8)
% 293.41/42.82 -> [6903] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_46_8))
% 293.41/42.82
% 293.41/42.82 [6903] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_46_8))
% 293.41/42.82
% 293.41/42.82 [6902] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_46_8)
% 293.41/42.82
% 293.41/42.82 [243] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.41/42.82 -> [948] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.82
% 293.41/42.82 [948] 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))))
% 293.41/42.82 -> [1037] (distinct_points(skolem_A8080, skolem_B8181) => (distinct_points(skolem_A8080, skolem_B8181) | distinct_points(skolem_B8181, skolem_B8181)))
% 293.41/42.82
% 293.41/42.82 [1037] BETA_IMPLY : (distinct_points(skolem_A8080, skolem_B8181) => (distinct_points(skolem_A8080, skolem_B8181) | distinct_points(skolem_B8181, skolem_B8181)))
% 293.41/42.82 -> [1038] ~distinct_points(skolem_A8080, skolem_B8181)
% 293.41/42.82 -> [1039] (distinct_points(skolem_A8080, skolem_B8181) | distinct_points(skolem_B8181, skolem_B8181))
% 293.41/42.82
% 293.41/42.82 [1038] CLOSURE : ~distinct_points(skolem_A8080, skolem_B8181)
% 293.41/42.82
% 293.41/42.82 [1039] BETA_OR : (distinct_points(skolem_A8080, skolem_B8181) | distinct_points(skolem_B8181, skolem_B8181))
% 293.41/42.82 -> [2833] distinct_points(skolem_A8080, skolem_B8181)
% 293.41/42.82 -> [2834] distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.82
% 293.41/42.82 [2834] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.82
% 293.41/42.82 [2833] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.41/42.82 -> [2902] ~distinct_lines(N27_33_3, N27_33_3)
% 293.41/42.82
% 293.41/42.82 [2902] 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))))
% 293.41/42.82 -> [2912] (distinct_lines(N27_33_3, N27_33_3) => (distinct_lines(N27_33_3, N27_33_3) | distinct_lines(N27_33_3, N27_33_3)))
% 293.41/42.82
% 293.41/42.82 [2912] BETA_IMPLY : (distinct_lines(N27_33_3, N27_33_3) => (distinct_lines(N27_33_3, N27_33_3) | distinct_lines(N27_33_3, N27_33_3)))
% 293.41/42.82 -> [2913] ~distinct_lines(N27_33_3, N27_33_3)
% 293.41/42.82 -> [2914] (distinct_lines(N27_33_3, N27_33_3) | distinct_lines(N27_33_3, N27_33_3))
% 293.41/42.82
% 293.41/42.82 [2914] BETA_OR : (distinct_lines(N27_33_3, N27_33_3) | distinct_lines(N27_33_3, N27_33_3))
% 293.41/42.82 -> [2916] distinct_lines(N27_33_3, N27_33_3)
% 293.41/42.82 -> [2917] distinct_lines(N27_33_3, N27_33_3)
% 293.41/42.82
% 293.41/42.82 [2916] CLOSURE : distinct_lines(N27_33_3, N27_33_3)
% 293.41/42.82
% 293.41/42.82 [2917] CLOSURE : distinct_lines(N27_33_3, N27_33_3)
% 293.41/42.82
% 293.41/42.82 [2913] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.41/42.82 -> [2947] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [2947] 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))))
% 293.41/42.82 -> [2978] (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))))
% 293.41/42.82
% 293.41/42.82 [2978] 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))))
% 293.41/42.82 -> [2979] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82 -> [2980] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.41/42.82
% 293.41/42.82 [2979] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [2980] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.41/42.82 -> [3396] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82 -> [3397] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [3397] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [3396] 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))))))
% 293.41/42.82 -> [4197] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_7_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_7_6))) | (unequally_directed_lines(skolem_N7979, N34_7_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_7_6)))))
% 293.41/42.82
% 293.41/42.82 [4197] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_7_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_7_6))) | (unequally_directed_lines(skolem_N7979, N34_7_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_7_6)))))
% 293.41/42.82 -> [4198] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [4199] ((unequally_directed_lines(skolem_M7878, N34_7_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_7_6))) | (unequally_directed_lines(skolem_N7979, N34_7_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_7_6))))
% 293.41/42.82
% 293.41/42.82 [4198] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [4840] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82 -> [4841] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [4841] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [4840] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82
% 293.41/42.82 [4199] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_7_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_7_6))) | (unequally_directed_lines(skolem_N7979, N34_7_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_7_6))))
% 293.41/42.82 -> [8100] (unequally_directed_lines(skolem_M7878, N34_7_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_7_6)))
% 293.41/42.82 -> [8101] (unequally_directed_lines(skolem_N7979, N34_7_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_7_6)))
% 293.41/42.82
% 293.41/42.82 [8101] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_7_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_7_6)))
% 293.41/42.82 -> [8102] unequally_directed_lines(skolem_N7979, N34_7_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_7_6))
% 293.41/42.82
% 293.41/42.82 [8102] 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)))))
% 293.41/42.82 -> [8230] ((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))))
% 293.41/42.82
% 293.41/42.82 [8230] 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))))
% 293.41/42.82 -> [8231] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.41/42.82 -> [8232] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.41/42.82
% 293.41/42.82 [8231] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.41/42.82 -> [8246] ~line(reverse_line(skolem_N7979))
% 293.41/42.82 -> [8247] ~line(skolem_N7979)
% 293.41/42.82
% 293.41/42.82 [8246] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [8429] ((unequally_directed_lines(skolem_N7979, M38_88_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_88_8))) => (left_convergent_lines(skolem_N7979, M38_88_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_88_8))))
% 293.41/42.82
% 293.41/42.82 [8429] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_88_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_88_8))) => (left_convergent_lines(skolem_N7979, M38_88_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_88_8))))
% 293.41/42.82 -> [8430] ~(unequally_directed_lines(skolem_N7979, M38_88_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_88_8)))
% 293.41/42.82 -> [8431] (left_convergent_lines(skolem_N7979, M38_88_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_88_8)))
% 293.41/42.82
% 293.41/42.82 [8430] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_88_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_88_8)))
% 293.41/42.82 -> [8733] ~unequally_directed_lines(skolem_N7979, M38_88_8)
% 293.41/42.82 -> [8734] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_88_8))
% 293.41/42.82
% 293.41/42.82 [8734] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_88_8))
% 293.41/42.82
% 293.41/42.82 [8733] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_88_8)
% 293.41/42.82
% 293.41/42.82 [8431] BETA_OR : (left_convergent_lines(skolem_N7979, M38_88_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_88_8)))
% 293.41/42.82 -> [8432] left_convergent_lines(skolem_N7979, M38_88_8)
% 293.41/42.82 -> [8433] left_convergent_lines(skolem_N7979, reverse_line(M38_88_8))
% 293.41/42.82
% 293.41/42.82 [8433] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [9003] ~(left_apart_point(A39_195_9, L40_195_9) | left_apart_point(A39_195_9, reverse_line(L40_195_9)))
% 293.41/42.82
% 293.41/42.82 [9003] ALPHA_NOT_OR : ~(left_apart_point(A39_195_9, L40_195_9) | left_apart_point(A39_195_9, reverse_line(L40_195_9)))
% 293.41/42.82 -> [9004] ~left_apart_point(A39_195_9, L40_195_9), ~left_apart_point(A39_195_9, reverse_line(L40_195_9))
% 293.41/42.82
% 293.41/42.82 [9004] CLOSURE : ~left_apart_point(A39_195_9, L40_195_9)
% 293.41/42.82
% 293.41/42.82 [8432] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [9007] ~(left_apart_point(A39_197_9, L40_197_9) | left_apart_point(A39_197_9, reverse_line(L40_197_9)))
% 293.41/42.82
% 293.41/42.82 [9007] ALPHA_NOT_OR : ~(left_apart_point(A39_197_9, L40_197_9) | left_apart_point(A39_197_9, reverse_line(L40_197_9)))
% 293.41/42.82 -> [9008] ~left_apart_point(A39_197_9, L40_197_9), ~left_apart_point(A39_197_9, reverse_line(L40_197_9))
% 293.41/42.82
% 293.41/42.82 [9008] CLOSURE : ~left_apart_point(A39_197_9, L40_197_9)
% 293.41/42.82
% 293.41/42.82 [8247] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [8372] ((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))))
% 293.41/42.82
% 293.41/42.82 [8372] 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))))
% 293.41/42.82 -> [8373] ~(unequally_directed_lines(skolem_N7979, M38_82_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_82_8)))
% 293.41/42.82 -> [8374] (left_convergent_lines(skolem_N7979, M38_82_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_82_8)))
% 293.41/42.82
% 293.41/42.82 [8374] BETA_OR : (left_convergent_lines(skolem_N7979, M38_82_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_82_8)))
% 293.41/42.82 -> [8375] left_convergent_lines(skolem_N7979, M38_82_8)
% 293.41/42.82 -> [8376] left_convergent_lines(skolem_N7979, reverse_line(M38_82_8))
% 293.41/42.82
% 293.41/42.82 [8376] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [8735] ~(left_apart_point(A39_175_9, L40_175_9) | left_apart_point(A39_175_9, reverse_line(L40_175_9)))
% 293.41/42.82
% 293.41/42.82 [8735] ALPHA_NOT_OR : ~(left_apart_point(A39_175_9, L40_175_9) | left_apart_point(A39_175_9, reverse_line(L40_175_9)))
% 293.41/42.82 -> [8736] ~left_apart_point(A39_175_9, L40_175_9), ~left_apart_point(A39_175_9, reverse_line(L40_175_9))
% 293.41/42.82
% 293.41/42.82 [8736] CLOSURE : ~left_apart_point(A39_175_9, L40_175_9)
% 293.41/42.82
% 293.41/42.82 [8375] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [8746] ~(left_apart_point(A39_176_9, L40_176_9) | left_apart_point(A39_176_9, reverse_line(L40_176_9)))
% 293.41/42.82
% 293.41/42.82 [8746] ALPHA_NOT_OR : ~(left_apart_point(A39_176_9, L40_176_9) | left_apart_point(A39_176_9, reverse_line(L40_176_9)))
% 293.41/42.82 -> [8747] ~left_apart_point(A39_176_9, L40_176_9), ~left_apart_point(A39_176_9, reverse_line(L40_176_9))
% 293.41/42.82
% 293.41/42.82 [8747] CLOSURE : ~left_apart_point(A39_176_9, L40_176_9)
% 293.41/42.82
% 293.41/42.82 [8373] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_82_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_82_8)))
% 293.41/42.82 -> [8437] ~unequally_directed_lines(skolem_N7979, M38_82_8)
% 293.41/42.82 -> [8438] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_82_8))
% 293.41/42.82
% 293.41/42.82 [8437] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_82_8)
% 293.41/42.82
% 293.41/42.82 [8438] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_82_8))
% 293.41/42.82
% 293.41/42.82 [8232] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.41/42.82 -> [8233] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 293.41/42.82 -> [8234] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [8234] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [8233] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [9118] ((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))))
% 293.41/42.82
% 293.41/42.82 [9118] 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))))
% 293.41/42.82 -> [9119] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [9120] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82
% 293.41/42.82 [9119] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [9142] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82 -> [9143] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [9142] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82
% 293.41/42.82 [9143] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [9120] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [9127] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82 -> [9128] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [9128] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [9441] ~(left_apart_point(A39_233_9, L40_233_9) | left_apart_point(A39_233_9, reverse_line(L40_233_9)))
% 293.41/42.82
% 293.41/42.82 [9441] ALPHA_NOT_OR : ~(left_apart_point(A39_233_9, L40_233_9) | left_apart_point(A39_233_9, reverse_line(L40_233_9)))
% 293.41/42.82 -> [9442] ~left_apart_point(A39_233_9, L40_233_9), ~left_apart_point(A39_233_9, reverse_line(L40_233_9))
% 293.41/42.82
% 293.41/42.82 [9442] CLOSURE : ~left_apart_point(A39_233_9, L40_233_9)
% 293.41/42.82
% 293.41/42.82 [9127] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [9443] ~(left_apart_point(A39_234_9, L40_234_9) | left_apart_point(A39_234_9, reverse_line(L40_234_9)))
% 293.41/42.82
% 293.41/42.82 [9443] ALPHA_NOT_OR : ~(left_apart_point(A39_234_9, L40_234_9) | left_apart_point(A39_234_9, reverse_line(L40_234_9)))
% 293.41/42.82 -> [9444] ~left_apart_point(A39_234_9, L40_234_9), ~left_apart_point(A39_234_9, reverse_line(L40_234_9))
% 293.41/42.82
% 293.41/42.82 [9444] CLOSURE : ~left_apart_point(A39_234_9, L40_234_9)
% 293.41/42.82
% 293.41/42.82 [8100] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_7_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_7_6)))
% 293.41/42.82 -> [8118] unequally_directed_lines(skolem_M7878, N34_7_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_7_6))
% 293.41/42.82
% 293.41/42.82 [8118] 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)))))
% 293.41/42.82 -> [8290] ((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)))))
% 293.41/42.82
% 293.41/42.82 [8290] 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)))))
% 293.41/42.82 -> [8291] ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.41/42.82 -> [8292] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 293.41/42.82
% 293.41/42.82 [8291] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.41/42.82 -> [8323] ~line(skolem_L7777)
% 293.41/42.82 -> [8324] ~line(line_connecting(skolem_B8181, skolem_C8282))
% 293.41/42.82
% 293.41/42.82 [8323] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [8872] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.82
% 293.41/42.82 [8872] 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))))
% 293.41/42.82 -> [8874] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [8875] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82
% 293.41/42.82 [8875] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [8876] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82 -> [8877] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [8876] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [9032] ~(left_apart_point(A39_202_9, L40_202_9) | left_apart_point(A39_202_9, reverse_line(L40_202_9)))
% 293.41/42.82
% 293.41/42.82 [9032] ALPHA_NOT_OR : ~(left_apart_point(A39_202_9, L40_202_9) | left_apart_point(A39_202_9, reverse_line(L40_202_9)))
% 293.41/42.82 -> [9033] ~left_apart_point(A39_202_9, L40_202_9), ~left_apart_point(A39_202_9, reverse_line(L40_202_9))
% 293.41/42.82
% 293.41/42.82 [9033] CLOSURE : ~left_apart_point(A39_202_9, L40_202_9)
% 293.41/42.82
% 293.41/42.82 [8877] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [9005] ~(left_apart_point(A39_196_9, L40_196_9) | left_apart_point(A39_196_9, reverse_line(L40_196_9)))
% 293.41/42.82
% 293.41/42.82 [9005] ALPHA_NOT_OR : ~(left_apart_point(A39_196_9, L40_196_9) | left_apart_point(A39_196_9, reverse_line(L40_196_9)))
% 293.41/42.82 -> [9006] ~left_apart_point(A39_196_9, L40_196_9), ~left_apart_point(A39_196_9, reverse_line(L40_196_9))
% 293.41/42.82
% 293.41/42.82 [9006] CLOSURE : ~left_apart_point(A39_196_9, L40_196_9)
% 293.41/42.82
% 293.41/42.82 [8874] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [8911] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82 -> [8912] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [8912] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [8911] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82
% 293.41/42.82 [8324] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [8485] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.82
% 293.41/42.82 [8485] 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))))
% 293.41/42.82 -> [8488] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [8489] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82
% 293.41/42.82 [8488] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [8883] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82 -> [8884] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [8884] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [8883] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82
% 293.41/42.82 [8489] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [8496] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82 -> [8497] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [8496] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [8931] ~(left_apart_point(A39_189_9, L40_189_9) | left_apart_point(A39_189_9, reverse_line(L40_189_9)))
% 293.41/42.82
% 293.41/42.82 [8931] ALPHA_NOT_OR : ~(left_apart_point(A39_189_9, L40_189_9) | left_apart_point(A39_189_9, reverse_line(L40_189_9)))
% 293.41/42.82 -> [8932] ~left_apart_point(A39_189_9, L40_189_9), ~left_apart_point(A39_189_9, reverse_line(L40_189_9))
% 293.41/42.82
% 293.41/42.82 [8932] CLOSURE : ~left_apart_point(A39_189_9, L40_189_9)
% 293.41/42.82
% 293.41/42.82 [8497] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [9132] ~(left_apart_point(A39_214_9, L40_214_9) | left_apart_point(A39_214_9, reverse_line(L40_214_9)))
% 293.41/42.82
% 293.41/42.82 [9132] ALPHA_NOT_OR : ~(left_apart_point(A39_214_9, L40_214_9) | left_apart_point(A39_214_9, reverse_line(L40_214_9)))
% 293.41/42.82 -> [9133] ~left_apart_point(A39_214_9, L40_214_9), ~left_apart_point(A39_214_9, reverse_line(L40_214_9))
% 293.41/42.82
% 293.41/42.82 [9133] CLOSURE : ~left_apart_point(A39_214_9, L40_214_9)
% 293.41/42.82
% 293.41/42.82 [8292] 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))))
% 293.41/42.82 -> [8293] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.41/42.82 -> [8294] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.41/42.82
% 293.41/42.82 [8293] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.41/42.82
% 293.41/42.82 [8294] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [9146] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.82
% 293.41/42.82 [9146] 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))))
% 293.41/42.82 -> [9148] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [9149] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82
% 293.41/42.82 [9148] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [10630] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82 -> [10631] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [10631] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [10630] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82
% 293.41/42.82 [9149] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [9152] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82 -> [9153] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [9152] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [10810] ~(left_apart_point(A39_376_9, L40_376_9) | left_apart_point(A39_376_9, reverse_line(L40_376_9)))
% 293.41/42.82
% 293.41/42.82 [10810] ALPHA_NOT_OR : ~(left_apart_point(A39_376_9, L40_376_9) | left_apart_point(A39_376_9, reverse_line(L40_376_9)))
% 293.41/42.82 -> [10811] ~left_apart_point(A39_376_9, L40_376_9), ~left_apart_point(A39_376_9, reverse_line(L40_376_9))
% 293.41/42.82
% 293.41/42.82 [10811] CLOSURE : ~left_apart_point(A39_376_9, L40_376_9)
% 293.41/42.82
% 293.41/42.82 [9153] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [10848] ~(left_apart_point(A39_378_9, L40_378_9) | left_apart_point(A39_378_9, reverse_line(L40_378_9)))
% 293.41/42.82
% 293.41/42.82 [10848] ALPHA_NOT_OR : ~(left_apart_point(A39_378_9, L40_378_9) | left_apart_point(A39_378_9, reverse_line(L40_378_9)))
% 293.41/42.82 -> [10849] ~left_apart_point(A39_378_9, L40_378_9), ~left_apart_point(A39_378_9, reverse_line(L40_378_9))
% 293.41/42.82
% 293.41/42.82 [10849] CLOSURE : ~left_apart_point(A39_378_9, L40_378_9)
% 293.41/42.82
% 293.41/42.82 [223] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.41/42.82 -> [921] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.41/42.82 -> [922] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [921] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.41/42.82 -> [992] ~distinct_points(skolem_C8282, skolem_C8282)
% 293.41/42.82
% 293.41/42.82 [992] 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))))
% 293.41/42.82 -> [1021] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.41/42.82
% 293.41/42.82 [1021] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.41/42.82 -> [1025] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.82 -> [1026] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.41/42.82
% 293.41/42.82 [1025] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.82
% 293.41/42.82 [1026] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.41/42.82 -> [2922] distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.82 -> [2923] distinct_points(skolem_C8282, skolem_C8282)
% 293.41/42.82
% 293.41/42.82 [2923] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 293.41/42.82
% 293.41/42.82 [2922] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.41/42.82 -> [2951] ~distinct_lines(N27_36_3, N27_36_3)
% 293.41/42.82
% 293.41/42.82 [2951] 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))))
% 293.41/42.82 -> [2955] (distinct_lines(N27_36_3, N27_36_3) => (distinct_lines(N27_36_3, N27_36_3) | distinct_lines(N27_36_3, N27_36_3)))
% 293.41/42.82
% 293.41/42.82 [2955] 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)))
% 293.41/42.82 -> [2956] ~distinct_lines(N27_36_3, N27_36_3)
% 293.41/42.82 -> [2957] (distinct_lines(N27_36_3, N27_36_3) | distinct_lines(N27_36_3, N27_36_3))
% 293.41/42.82
% 293.41/42.82 [2957] BETA_OR : (distinct_lines(N27_36_3, N27_36_3) | distinct_lines(N27_36_3, N27_36_3))
% 293.41/42.82 -> [2959] distinct_lines(N27_36_3, N27_36_3)
% 293.41/42.82 -> [2960] distinct_lines(N27_36_3, N27_36_3)
% 293.41/42.82
% 293.41/42.82 [2959] CLOSURE : distinct_lines(N27_36_3, N27_36_3)
% 293.41/42.82
% 293.41/42.82 [2960] CLOSURE : distinct_lines(N27_36_3, N27_36_3)
% 293.41/42.82
% 293.41/42.82 [2956] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.41/42.82 -> [2968] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [2968] 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))))
% 293.41/42.82 -> [2996] (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))))
% 293.41/42.82
% 293.41/42.82 [2996] 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))))
% 293.41/42.82 -> [2999] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82 -> [3000] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.41/42.82
% 293.41/42.82 [2999] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [3000] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.41/42.82 -> [3953] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82 -> [3954] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [3954] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [3953] 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))))))
% 293.41/42.82 -> [6644] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_45_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_45_6))) | (unequally_directed_lines(skolem_N7979, N34_45_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_45_6)))))
% 293.41/42.82
% 293.41/42.82 [6644] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_45_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_45_6))) | (unequally_directed_lines(skolem_N7979, N34_45_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_45_6)))))
% 293.41/42.82 -> [6650] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [6651] ((unequally_directed_lines(skolem_M7878, N34_45_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_45_6))) | (unequally_directed_lines(skolem_N7979, N34_45_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_45_6))))
% 293.41/42.82
% 293.41/42.82 [6650] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [6711] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82 -> [6712] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [6712] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [6711] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82
% 293.41/42.82 [6651] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_45_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_45_6))) | (unequally_directed_lines(skolem_N7979, N34_45_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_45_6))))
% 293.41/42.82 -> [8341] (unequally_directed_lines(skolem_M7878, N34_45_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_45_6)))
% 293.41/42.82 -> [8342] (unequally_directed_lines(skolem_N7979, N34_45_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_45_6)))
% 293.41/42.82
% 293.41/42.82 [8342] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_45_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_45_6)))
% 293.41/42.82 -> [8345] unequally_directed_lines(skolem_N7979, N34_45_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_45_6))
% 293.41/42.82
% 293.41/42.82 [8345] 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)))))
% 293.41/42.82 -> [8495] ((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)))))
% 293.41/42.82
% 293.41/42.82 [8495] 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)))))
% 293.41/42.82 -> [8498] ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.41/42.82 -> [8499] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 293.41/42.82
% 293.41/42.82 [8498] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.41/42.82 -> [8525] ~line(reverse_line(skolem_N7979))
% 293.41/42.82 -> [8526] ~line(reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [8525] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [8640] ((unequally_directed_lines(skolem_N7979, M38_96_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_96_8))) => (left_convergent_lines(skolem_N7979, M38_96_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_96_8))))
% 293.41/42.82
% 293.41/42.82 [8640] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_96_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_96_8))) => (left_convergent_lines(skolem_N7979, M38_96_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_96_8))))
% 293.41/42.82 -> [8642] ~(unequally_directed_lines(skolem_N7979, M38_96_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_96_8)))
% 293.41/42.82 -> [8643] (left_convergent_lines(skolem_N7979, M38_96_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_96_8)))
% 293.41/42.82
% 293.41/42.82 [8642] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_96_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_96_8)))
% 293.41/42.82 -> [8692] ~unequally_directed_lines(skolem_N7979, M38_96_8)
% 293.41/42.82 -> [8693] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_96_8))
% 293.41/42.82
% 293.41/42.82 [8693] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_96_8))
% 293.41/42.82
% 293.41/42.82 [8692] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_96_8)
% 293.41/42.82
% 293.41/42.82 [8643] BETA_OR : (left_convergent_lines(skolem_N7979, M38_96_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_96_8)))
% 293.41/42.82 -> [8651] left_convergent_lines(skolem_N7979, M38_96_8)
% 293.41/42.82 -> [8652] left_convergent_lines(skolem_N7979, reverse_line(M38_96_8))
% 293.41/42.82
% 293.41/42.82 [8652] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [8822] ~(left_apart_point(A39_180_9, L40_180_9) | left_apart_point(A39_180_9, reverse_line(L40_180_9)))
% 293.41/42.82
% 293.41/42.82 [8822] ALPHA_NOT_OR : ~(left_apart_point(A39_180_9, L40_180_9) | left_apart_point(A39_180_9, reverse_line(L40_180_9)))
% 293.41/42.82 -> [8824] ~left_apart_point(A39_180_9, L40_180_9), ~left_apart_point(A39_180_9, reverse_line(L40_180_9))
% 293.41/42.82
% 293.41/42.82 [8824] CLOSURE : ~left_apart_point(A39_180_9, L40_180_9)
% 293.41/42.82
% 293.41/42.82 [8651] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [8852] ~(left_apart_point(A39_182_9, L40_182_9) | left_apart_point(A39_182_9, reverse_line(L40_182_9)))
% 293.41/42.82
% 293.41/42.82 [8852] ALPHA_NOT_OR : ~(left_apart_point(A39_182_9, L40_182_9) | left_apart_point(A39_182_9, reverse_line(L40_182_9)))
% 293.41/42.82 -> [8853] ~left_apart_point(A39_182_9, L40_182_9), ~left_apart_point(A39_182_9, reverse_line(L40_182_9))
% 293.41/42.82
% 293.41/42.82 [8853] CLOSURE : ~left_apart_point(A39_182_9, L40_182_9)
% 293.41/42.82
% 293.41/42.82 [8526] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [8696] ((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))))
% 293.41/42.82
% 293.41/42.82 [8696] 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))))
% 293.41/42.82 -> [8698] ~(unequally_directed_lines(skolem_N7979, M38_99_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_99_8)))
% 293.41/42.82 -> [8699] (left_convergent_lines(skolem_N7979, M38_99_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_99_8)))
% 293.41/42.82
% 293.41/42.82 [8698] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_99_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_99_8)))
% 293.41/42.82 -> [8730] ~unequally_directed_lines(skolem_N7979, M38_99_8)
% 293.41/42.82 -> [8731] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_99_8))
% 293.41/42.82
% 293.41/42.82 [8731] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_99_8))
% 293.41/42.82
% 293.41/42.82 [8730] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_99_8)
% 293.41/42.82
% 293.41/42.82 [8699] BETA_OR : (left_convergent_lines(skolem_N7979, M38_99_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_99_8)))
% 293.41/42.82 -> [8704] left_convergent_lines(skolem_N7979, M38_99_8)
% 293.41/42.82 -> [8705] left_convergent_lines(skolem_N7979, reverse_line(M38_99_8))
% 293.41/42.82
% 293.41/42.82 [8705] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [8828] ~(left_apart_point(A39_181_9, L40_181_9) | left_apart_point(A39_181_9, reverse_line(L40_181_9)))
% 293.41/42.82
% 293.41/42.82 [8828] ALPHA_NOT_OR : ~(left_apart_point(A39_181_9, L40_181_9) | left_apart_point(A39_181_9, reverse_line(L40_181_9)))
% 293.41/42.82 -> [8829] ~left_apart_point(A39_181_9, L40_181_9), ~left_apart_point(A39_181_9, reverse_line(L40_181_9))
% 293.41/42.82
% 293.41/42.82 [8829] CLOSURE : ~left_apart_point(A39_181_9, L40_181_9)
% 293.41/42.82
% 293.41/42.82 [8704] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [8855] ~(left_apart_point(A39_184_9, L40_184_9) | left_apart_point(A39_184_9, reverse_line(L40_184_9)))
% 293.41/42.82
% 293.41/42.82 [8855] ALPHA_NOT_OR : ~(left_apart_point(A39_184_9, L40_184_9) | left_apart_point(A39_184_9, reverse_line(L40_184_9)))
% 293.41/42.82 -> [8857] ~left_apart_point(A39_184_9, L40_184_9), ~left_apart_point(A39_184_9, reverse_line(L40_184_9))
% 293.41/42.82
% 293.41/42.82 [8857] CLOSURE : ~left_apart_point(A39_184_9, L40_184_9)
% 293.41/42.82
% 293.41/42.82 [8499] 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))))
% 293.41/42.82 -> [8503] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82 -> [8504] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 293.41/42.82
% 293.41/42.82 [8503] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [8504] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [11777] ((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))))
% 293.41/42.82
% 293.41/42.82 [11777] 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))))
% 293.41/42.82 -> [11778] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [11779] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82
% 293.41/42.82 [11779] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [11780] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82 -> [11781] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [11781] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [11848] ~(left_apart_point(A39_461_9, L40_461_9) | left_apart_point(A39_461_9, reverse_line(L40_461_9)))
% 293.41/42.82
% 293.41/42.82 [11848] ALPHA_NOT_OR : ~(left_apart_point(A39_461_9, L40_461_9) | left_apart_point(A39_461_9, reverse_line(L40_461_9)))
% 293.41/42.82 -> [11849] ~left_apart_point(A39_461_9, L40_461_9), ~left_apart_point(A39_461_9, reverse_line(L40_461_9))
% 293.41/42.82
% 293.41/42.82 [11849] CLOSURE : ~left_apart_point(A39_461_9, L40_461_9)
% 293.41/42.82
% 293.41/42.82 [11780] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [11864] ~(left_apart_point(A39_463_9, L40_463_9) | left_apart_point(A39_463_9, reverse_line(L40_463_9)))
% 293.41/42.82
% 293.41/42.82 [11864] ALPHA_NOT_OR : ~(left_apart_point(A39_463_9, L40_463_9) | left_apart_point(A39_463_9, reverse_line(L40_463_9)))
% 293.41/42.82 -> [11865] ~left_apart_point(A39_463_9, L40_463_9), ~left_apart_point(A39_463_9, reverse_line(L40_463_9))
% 293.41/42.82
% 293.41/42.82 [11865] CLOSURE : ~left_apart_point(A39_463_9, L40_463_9)
% 293.41/42.82
% 293.41/42.82 [11778] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [11796] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82 -> [11797] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [11797] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [11796] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82
% 293.41/42.82 [8341] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_45_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_45_6)))
% 293.41/42.82 -> [8366] unequally_directed_lines(skolem_M7878, N34_45_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_45_6))
% 293.41/42.82
% 293.41/42.82 [8366] 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)))))
% 293.41/42.82 -> [8518] ((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)))))
% 293.41/42.82
% 293.41/42.82 [8518] 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)))))
% 293.41/42.82 -> [8521] ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.41/42.82 -> [8522] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 293.41/42.82
% 293.41/42.82 [8521] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.41/42.82 -> [8555] ~line(skolem_L7777)
% 293.41/42.82 -> [8556] ~line(line_connecting(skolem_B8181, skolem_C8282))
% 293.41/42.82
% 293.41/42.82 [8555] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [8681] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.82
% 293.41/42.82 [8681] 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))))
% 293.41/42.82 -> [8682] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [8683] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82
% 293.41/42.82 [8682] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [8716] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82 -> [8717] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [8717] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [8716] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82
% 293.41/42.82 [8683] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [8684] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82 -> [8685] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [8685] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [8804] ~(left_apart_point(A39_178_9, L40_178_9) | left_apart_point(A39_178_9, reverse_line(L40_178_9)))
% 293.41/42.82
% 293.41/42.82 [8804] ALPHA_NOT_OR : ~(left_apart_point(A39_178_9, L40_178_9) | left_apart_point(A39_178_9, reverse_line(L40_178_9)))
% 293.41/42.82 -> [8805] ~left_apart_point(A39_178_9, L40_178_9), ~left_apart_point(A39_178_9, reverse_line(L40_178_9))
% 293.41/42.82
% 293.41/42.82 [8805] CLOSURE : ~left_apart_point(A39_178_9, L40_178_9)
% 293.41/42.82
% 293.41/42.82 [8684] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [8897] ~(left_apart_point(A39_187_9, L40_187_9) | left_apart_point(A39_187_9, reverse_line(L40_187_9)))
% 293.41/42.82
% 293.41/42.82 [8897] ALPHA_NOT_OR : ~(left_apart_point(A39_187_9, L40_187_9) | left_apart_point(A39_187_9, reverse_line(L40_187_9)))
% 293.41/42.82 -> [8899] ~left_apart_point(A39_187_9, L40_187_9), ~left_apart_point(A39_187_9, reverse_line(L40_187_9))
% 293.41/42.82
% 293.41/42.82 [8899] CLOSURE : ~left_apart_point(A39_187_9, L40_187_9)
% 293.41/42.82
% 293.41/42.82 [8556] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [8619] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.82
% 293.41/42.82 [8619] 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))))
% 293.41/42.82 -> [8623] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [8624] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82
% 293.41/42.82 [8623] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [8688] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82 -> [8689] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [8689] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [8688] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82
% 293.41/42.82 [8624] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [8629] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82 -> [8630] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [8629] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [8781] ~(left_apart_point(A39_177_9, L40_177_9) | left_apart_point(A39_177_9, reverse_line(L40_177_9)))
% 293.41/42.82
% 293.41/42.82 [8781] ALPHA_NOT_OR : ~(left_apart_point(A39_177_9, L40_177_9) | left_apart_point(A39_177_9, reverse_line(L40_177_9)))
% 293.41/42.82 -> [8782] ~left_apart_point(A39_177_9, L40_177_9), ~left_apart_point(A39_177_9, reverse_line(L40_177_9))
% 293.41/42.82
% 293.41/42.82 [8782] CLOSURE : ~left_apart_point(A39_177_9, L40_177_9)
% 293.41/42.82
% 293.41/42.82 [8630] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [9293] ~(left_apart_point(A39_223_9, L40_223_9) | left_apart_point(A39_223_9, reverse_line(L40_223_9)))
% 293.41/42.82
% 293.41/42.82 [9293] ALPHA_NOT_OR : ~(left_apart_point(A39_223_9, L40_223_9) | left_apart_point(A39_223_9, reverse_line(L40_223_9)))
% 293.41/42.82 -> [9299] ~left_apart_point(A39_223_9, L40_223_9), ~left_apart_point(A39_223_9, reverse_line(L40_223_9))
% 293.41/42.82
% 293.41/42.82 [9299] CLOSURE : ~left_apart_point(A39_223_9, L40_223_9)
% 293.41/42.82
% 293.41/42.82 [8522] 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))))
% 293.41/42.82 -> [8523] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.41/42.82 -> [8524] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.41/42.82
% 293.41/42.82 [8523] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.41/42.82
% 293.41/42.82 [8524] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [13031] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.82
% 293.41/42.82 [13031] 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))))
% 293.41/42.82 -> [13032] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [13033] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82
% 293.41/42.82 [13033] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [13034] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82 -> [13035] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [13035] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [13120] ~(left_apart_point(A39_595_9, L40_595_9) | left_apart_point(A39_595_9, reverse_line(L40_595_9)))
% 293.41/42.82
% 293.41/42.82 [13120] ALPHA_NOT_OR : ~(left_apart_point(A39_595_9, L40_595_9) | left_apart_point(A39_595_9, reverse_line(L40_595_9)))
% 293.41/42.82 -> [13127] ~left_apart_point(A39_595_9, L40_595_9), ~left_apart_point(A39_595_9, reverse_line(L40_595_9))
% 293.41/42.82
% 293.41/42.82 [13127] CLOSURE : ~left_apart_point(A39_595_9, L40_595_9)
% 293.41/42.82
% 293.41/42.82 [13034] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [13154] ~(left_apart_point(A39_596_9, L40_596_9) | left_apart_point(A39_596_9, reverse_line(L40_596_9)))
% 293.41/42.82
% 293.41/42.82 [13154] ALPHA_NOT_OR : ~(left_apart_point(A39_596_9, L40_596_9) | left_apart_point(A39_596_9, reverse_line(L40_596_9)))
% 293.41/42.82 -> [13155] ~left_apart_point(A39_596_9, L40_596_9), ~left_apart_point(A39_596_9, reverse_line(L40_596_9))
% 293.41/42.82
% 293.41/42.82 [13155] CLOSURE : ~left_apart_point(A39_596_9, L40_596_9)
% 293.41/42.82
% 293.41/42.82 [13032] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [13058] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82 -> [13059] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [13059] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [13058] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82
% 293.41/42.82 [922] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.41/42.82 -> [1306] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.82
% 293.41/42.82 [1306] 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))))
% 293.41/42.82 -> [1550] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.41/42.82
% 293.41/42.82 [1550] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.41/42.82 -> [1551] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.82 -> [1552] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.41/42.82
% 293.41/42.82 [1551] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.82
% 293.41/42.82 [1552] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.41/42.82 -> [1982] distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.82 -> [1983] distinct_points(skolem_C8282, skolem_B8181)
% 293.41/42.82
% 293.41/42.82 [1982] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.82
% 293.41/42.82 [1983] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.41/42.82 -> [2155] ~distinct_lines(N27_12_3, N27_12_3)
% 293.41/42.82
% 293.41/42.82 [2155] 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))))
% 293.41/42.82 -> [2190] (distinct_lines(N27_12_3, N27_12_3) => (distinct_lines(N27_12_3, N27_12_3) | distinct_lines(N27_12_3, N27_12_3)))
% 293.41/42.82
% 293.41/42.82 [2190] 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)))
% 293.41/42.82 -> [2191] ~distinct_lines(N27_12_3, N27_12_3)
% 293.41/42.82 -> [2192] (distinct_lines(N27_12_3, N27_12_3) | distinct_lines(N27_12_3, N27_12_3))
% 293.41/42.82
% 293.41/42.82 [2192] BETA_OR : (distinct_lines(N27_12_3, N27_12_3) | distinct_lines(N27_12_3, N27_12_3))
% 293.41/42.82 -> [2195] distinct_lines(N27_12_3, N27_12_3)
% 293.41/42.82 -> [2196] distinct_lines(N27_12_3, N27_12_3)
% 293.41/42.82
% 293.41/42.82 [2196] CLOSURE : distinct_lines(N27_12_3, N27_12_3)
% 293.41/42.82
% 293.41/42.82 [2195] CLOSURE : distinct_lines(N27_12_3, N27_12_3)
% 293.41/42.82
% 293.41/42.82 [2191] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.41/42.82 -> [2231] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [2231] 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))))
% 293.41/42.82 -> [2260] (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))))
% 293.41/42.82
% 293.41/42.82 [2260] 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))))
% 293.41/42.82 -> [2263] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82 -> [2264] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.41/42.82
% 293.41/42.82 [2263] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [2264] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.41/42.82 -> [8510] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82 -> [8511] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [8511] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [8510] 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))))))
% 293.41/42.82 -> [15586] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_216_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_216_6))) | (unequally_directed_lines(skolem_N7979, N34_216_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_216_6)))))
% 293.41/42.82
% 293.41/42.82 [15586] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_216_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_216_6))) | (unequally_directed_lines(skolem_N7979, N34_216_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_216_6)))))
% 293.41/42.82 -> [15589] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [15590] ((unequally_directed_lines(skolem_M7878, N34_216_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_216_6))) | (unequally_directed_lines(skolem_N7979, N34_216_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_216_6))))
% 293.41/42.82
% 293.41/42.82 [15589] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [15610] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82 -> [15611] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [15611] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [15610] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82
% 293.41/42.82 [15590] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_216_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_216_6))) | (unequally_directed_lines(skolem_N7979, N34_216_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_216_6))))
% 293.41/42.82 -> [22539] (unequally_directed_lines(skolem_M7878, N34_216_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_216_6)))
% 293.41/42.82 -> [22540] (unequally_directed_lines(skolem_N7979, N34_216_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_216_6)))
% 293.41/42.82
% 293.41/42.82 [22539] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_216_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_216_6)))
% 293.41/42.82 -> [22547] unequally_directed_lines(skolem_M7878, N34_216_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_216_6))
% 293.41/42.82
% 293.41/42.82 [22547] 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)))))
% 293.41/42.82 -> [22760] ((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)))))
% 293.41/42.82
% 293.41/42.82 [22760] 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)))))
% 293.41/42.82 -> [22763] ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.41/42.82 -> [22764] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 293.41/42.82
% 293.41/42.82 [22763] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.41/42.82 -> [22804] ~line(skolem_L7777)
% 293.41/42.82 -> [22805] ~line(line_connecting(skolem_B8181, skolem_C8282))
% 293.41/42.82
% 293.41/42.82 [22804] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [23018] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.82
% 293.41/42.82 [23018] 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))))
% 293.41/42.82 -> [23020] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [23021] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82
% 293.41/42.82 [23021] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [23024] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82 -> [23025] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [23024] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [23135] ~(left_apart_point(A39_1823_9, L40_1823_9) | left_apart_point(A39_1823_9, reverse_line(L40_1823_9)))
% 293.41/42.82
% 293.41/42.82 [23135] ALPHA_NOT_OR : ~(left_apart_point(A39_1823_9, L40_1823_9) | left_apart_point(A39_1823_9, reverse_line(L40_1823_9)))
% 293.41/42.82 -> [23138] ~left_apart_point(A39_1823_9, L40_1823_9), ~left_apart_point(A39_1823_9, reverse_line(L40_1823_9))
% 293.41/42.82
% 293.41/42.82 [23138] CLOSURE : ~left_apart_point(A39_1823_9, L40_1823_9)
% 293.41/42.82
% 293.41/42.82 [23025] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [23095] ~(left_apart_point(A39_1817_9, L40_1817_9) | left_apart_point(A39_1817_9, reverse_line(L40_1817_9)))
% 293.41/42.82
% 293.41/42.82 [23095] ALPHA_NOT_OR : ~(left_apart_point(A39_1817_9, L40_1817_9) | left_apart_point(A39_1817_9, reverse_line(L40_1817_9)))
% 293.41/42.82 -> [23097] ~left_apart_point(A39_1817_9, L40_1817_9), ~left_apart_point(A39_1817_9, reverse_line(L40_1817_9))
% 293.41/42.82
% 293.41/42.82 [23097] CLOSURE : ~left_apart_point(A39_1817_9, L40_1817_9)
% 293.41/42.82
% 293.41/42.82 [23020] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [23048] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82 -> [23049] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [23049] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [23048] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82
% 293.41/42.82 [22805] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [22965] ((unequally_directed_lines(skolem_M7878, M38_932_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_932_8))) => (left_convergent_lines(skolem_M7878, M38_932_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_932_8))))
% 293.41/42.82
% 293.41/42.82 [22965] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_932_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_932_8))) => (left_convergent_lines(skolem_M7878, M38_932_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_932_8))))
% 293.41/42.82 -> [22967] ~(unequally_directed_lines(skolem_M7878, M38_932_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_932_8)))
% 293.41/42.82 -> [22968] (left_convergent_lines(skolem_M7878, M38_932_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_932_8)))
% 293.41/42.82
% 293.41/42.82 [22967] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_932_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_932_8)))
% 293.41/42.82 -> [22982] ~unequally_directed_lines(skolem_M7878, M38_932_8)
% 293.41/42.82 -> [22983] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_932_8))
% 293.41/42.82
% 293.41/42.82 [22982] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_932_8)
% 293.41/42.82
% 293.41/42.82 [22983] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_932_8))
% 293.41/42.82
% 293.41/42.82 [22968] BETA_OR : (left_convergent_lines(skolem_M7878, M38_932_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_932_8)))
% 293.41/42.82 -> [22971] left_convergent_lines(skolem_M7878, M38_932_8)
% 293.41/42.82 -> [22972] left_convergent_lines(skolem_M7878, reverse_line(M38_932_8))
% 293.41/42.82
% 293.41/42.82 [22971] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [23212] ~(left_apart_point(A39_1841_9, L40_1841_9) | left_apart_point(A39_1841_9, reverse_line(L40_1841_9)))
% 293.41/42.82
% 293.41/42.82 [23212] ALPHA_NOT_OR : ~(left_apart_point(A39_1841_9, L40_1841_9) | left_apart_point(A39_1841_9, reverse_line(L40_1841_9)))
% 293.41/42.82 -> [23215] ~left_apart_point(A39_1841_9, L40_1841_9), ~left_apart_point(A39_1841_9, reverse_line(L40_1841_9))
% 293.41/42.82
% 293.41/42.82 [23215] CLOSURE : ~left_apart_point(A39_1841_9, L40_1841_9)
% 293.41/42.82
% 293.41/42.82 [22972] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [23307] ~(left_apart_point(A39_1860_9, L40_1860_9) | left_apart_point(A39_1860_9, reverse_line(L40_1860_9)))
% 293.41/42.82
% 293.41/42.82 [23307] ALPHA_NOT_OR : ~(left_apart_point(A39_1860_9, L40_1860_9) | left_apart_point(A39_1860_9, reverse_line(L40_1860_9)))
% 293.41/42.82 -> [23310] ~left_apart_point(A39_1860_9, L40_1860_9), ~left_apart_point(A39_1860_9, reverse_line(L40_1860_9))
% 293.41/42.82
% 293.41/42.82 [23310] CLOSURE : ~left_apart_point(A39_1860_9, L40_1860_9)
% 293.41/42.82
% 293.41/42.82 [22764] 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))))
% 293.41/42.82 -> [22769] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.41/42.82 -> [22770] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.41/42.82
% 293.41/42.82 [22769] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.41/42.82
% 293.41/42.82 [22770] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [24475] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.82
% 293.41/42.82 [24475] 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))))
% 293.41/42.82 -> [24478] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [24479] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82
% 293.41/42.82 [24478] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [24567] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82 -> [24568] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [24568] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [24567] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82
% 293.41/42.82 [24479] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [24486] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82 -> [24487] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [24487] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [24687] ~(left_apart_point(A39_2061_9, L40_2061_9) | left_apart_point(A39_2061_9, reverse_line(L40_2061_9)))
% 293.41/42.82
% 293.41/42.82 [24687] ALPHA_NOT_OR : ~(left_apart_point(A39_2061_9, L40_2061_9) | left_apart_point(A39_2061_9, reverse_line(L40_2061_9)))
% 293.41/42.82 -> [24688] ~left_apart_point(A39_2061_9, L40_2061_9), ~left_apart_point(A39_2061_9, reverse_line(L40_2061_9))
% 293.41/42.82
% 293.41/42.82 [24688] CLOSURE : ~left_apart_point(A39_2061_9, L40_2061_9)
% 293.41/42.82
% 293.41/42.82 [24486] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [24796] ~(left_apart_point(A39_2069_9, L40_2069_9) | left_apart_point(A39_2069_9, reverse_line(L40_2069_9)))
% 293.41/42.82
% 293.41/42.82 [24796] ALPHA_NOT_OR : ~(left_apart_point(A39_2069_9, L40_2069_9) | left_apart_point(A39_2069_9, reverse_line(L40_2069_9)))
% 293.41/42.82 -> [24798] ~left_apart_point(A39_2069_9, L40_2069_9), ~left_apart_point(A39_2069_9, reverse_line(L40_2069_9))
% 293.41/42.82
% 293.41/42.82 [24798] CLOSURE : ~left_apart_point(A39_2069_9, L40_2069_9)
% 293.41/42.82
% 293.41/42.82 [22540] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_216_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_216_6)))
% 293.41/42.82 -> [22545] unequally_directed_lines(skolem_N7979, N34_216_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_216_6))
% 293.41/42.82
% 293.41/42.82 [22545] 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)))))
% 293.41/42.82 -> [22697] ((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)))))
% 293.41/42.82
% 293.41/42.82 [22697] 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)))))
% 293.41/42.82 -> [22699] ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.41/42.82 -> [22700] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))
% 293.41/42.82
% 293.41/42.82 [22699] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.41/42.82 -> [22742] ~line(skolem_L7777)
% 293.41/42.82 -> [22743] ~line(line_connecting(skolem_A8080, skolem_B8181))
% 293.41/42.82
% 293.41/42.82 [22743] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [22984] ((unequally_directed_lines(skolem_N7979, M38_934_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_934_8))) => (left_convergent_lines(skolem_N7979, M38_934_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_934_8))))
% 293.41/42.82
% 293.41/42.82 [22984] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_934_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_934_8))) => (left_convergent_lines(skolem_N7979, M38_934_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_934_8))))
% 293.41/42.82 -> [22988] ~(unequally_directed_lines(skolem_N7979, M38_934_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_934_8)))
% 293.41/42.82 -> [22989] (left_convergent_lines(skolem_N7979, M38_934_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_934_8)))
% 293.41/42.82
% 293.41/42.82 [22989] BETA_OR : (left_convergent_lines(skolem_N7979, M38_934_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_934_8)))
% 293.41/42.82 -> [22992] left_convergent_lines(skolem_N7979, M38_934_8)
% 293.41/42.82 -> [22993] left_convergent_lines(skolem_N7979, reverse_line(M38_934_8))
% 293.41/42.82
% 293.41/42.82 [22992] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [23051] ~(left_apart_point(A39_1815_9, L40_1815_9) | left_apart_point(A39_1815_9, reverse_line(L40_1815_9)))
% 293.41/42.82
% 293.41/42.82 [23051] ALPHA_NOT_OR : ~(left_apart_point(A39_1815_9, L40_1815_9) | left_apart_point(A39_1815_9, reverse_line(L40_1815_9)))
% 293.41/42.82 -> [23054] ~left_apart_point(A39_1815_9, L40_1815_9), ~left_apart_point(A39_1815_9, reverse_line(L40_1815_9))
% 293.41/42.82
% 293.41/42.82 [23054] CLOSURE : ~left_apart_point(A39_1815_9, L40_1815_9)
% 293.41/42.82
% 293.41/42.82 [22993] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [23040] ~(left_apart_point(A39_1813_9, L40_1813_9) | left_apart_point(A39_1813_9, reverse_line(L40_1813_9)))
% 293.41/42.82
% 293.41/42.82 [23040] ALPHA_NOT_OR : ~(left_apart_point(A39_1813_9, L40_1813_9) | left_apart_point(A39_1813_9, reverse_line(L40_1813_9)))
% 293.41/42.82 -> [23098] ~left_apart_point(A39_1813_9, L40_1813_9), ~left_apart_point(A39_1813_9, reverse_line(L40_1813_9))
% 293.41/42.82
% 293.41/42.82 [23098] CLOSURE : ~left_apart_point(A39_1813_9, L40_1813_9)
% 293.41/42.82
% 293.41/42.82 [22988] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_934_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_934_8)))
% 293.41/42.82 -> [23005] ~unequally_directed_lines(skolem_N7979, M38_934_8)
% 293.41/42.82 -> [23006] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_934_8))
% 293.41/42.82
% 293.41/42.82 [23005] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_934_8)
% 293.41/42.82
% 293.41/42.82 [23006] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_934_8))
% 293.41/42.82
% 293.41/42.82 [22742] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [22994] ((unequally_directed_lines(skolem_N7979, M38_935_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_935_8))) => (left_convergent_lines(skolem_N7979, M38_935_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_935_8))))
% 293.41/42.82
% 293.41/42.82 [22994] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_935_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_935_8))) => (left_convergent_lines(skolem_N7979, M38_935_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_935_8))))
% 293.41/42.82 -> [22997] ~(unequally_directed_lines(skolem_N7979, M38_935_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_935_8)))
% 293.41/42.82 -> [22998] (left_convergent_lines(skolem_N7979, M38_935_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_935_8)))
% 293.41/42.82
% 293.41/42.82 [22998] BETA_OR : (left_convergent_lines(skolem_N7979, M38_935_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_935_8)))
% 293.41/42.82 -> [23001] left_convergent_lines(skolem_N7979, M38_935_8)
% 293.41/42.82 -> [23002] left_convergent_lines(skolem_N7979, reverse_line(M38_935_8))
% 293.41/42.82
% 293.41/42.82 [23002] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [23142] ~(left_apart_point(A39_1825_9, L40_1825_9) | left_apart_point(A39_1825_9, reverse_line(L40_1825_9)))
% 293.41/42.82
% 293.41/42.82 [23142] ALPHA_NOT_OR : ~(left_apart_point(A39_1825_9, L40_1825_9) | left_apart_point(A39_1825_9, reverse_line(L40_1825_9)))
% 293.41/42.82 -> [23144] ~left_apart_point(A39_1825_9, L40_1825_9), ~left_apart_point(A39_1825_9, reverse_line(L40_1825_9))
% 293.41/42.82
% 293.41/42.82 [23144] CLOSURE : ~left_apart_point(A39_1825_9, L40_1825_9)
% 293.41/42.82
% 293.41/42.82 [23001] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [23111] ~(left_apart_point(A39_1819_9, L40_1819_9) | left_apart_point(A39_1819_9, reverse_line(L40_1819_9)))
% 293.41/42.82
% 293.41/42.82 [23111] ALPHA_NOT_OR : ~(left_apart_point(A39_1819_9, L40_1819_9) | left_apart_point(A39_1819_9, reverse_line(L40_1819_9)))
% 293.41/42.82 -> [23117] ~left_apart_point(A39_1819_9, L40_1819_9), ~left_apart_point(A39_1819_9, reverse_line(L40_1819_9))
% 293.41/42.82
% 293.41/42.82 [23117] CLOSURE : ~left_apart_point(A39_1819_9, L40_1819_9)
% 293.41/42.82
% 293.41/42.82 [22997] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_935_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_935_8)))
% 293.41/42.82 -> [23029] ~unequally_directed_lines(skolem_N7979, M38_935_8)
% 293.41/42.82 -> [23030] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_935_8))
% 293.41/42.82
% 293.41/42.82 [23030] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_935_8))
% 293.41/42.82
% 293.41/42.82 [23029] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_935_8)
% 293.41/42.82
% 293.41/42.82 [22700] 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))))
% 293.41/42.82 -> [22704] unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.41/42.82 -> [22705] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.41/42.82
% 293.41/42.82 [22704] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.41/42.82
% 293.41/42.82 [22705] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [24349] ((unequally_directed_lines(skolem_N7979, M38_1027_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1027_8))) => (left_convergent_lines(skolem_N7979, M38_1027_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1027_8))))
% 293.41/42.82
% 293.41/42.82 [24349] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1027_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1027_8))) => (left_convergent_lines(skolem_N7979, M38_1027_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1027_8))))
% 293.41/42.82 -> [24352] ~(unequally_directed_lines(skolem_N7979, M38_1027_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1027_8)))
% 293.41/42.82 -> [24353] (left_convergent_lines(skolem_N7979, M38_1027_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1027_8)))
% 293.41/42.82
% 293.41/42.82 [24353] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1027_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1027_8)))
% 293.41/42.82 -> [24360] left_convergent_lines(skolem_N7979, M38_1027_8)
% 293.41/42.82 -> [24361] left_convergent_lines(skolem_N7979, reverse_line(M38_1027_8))
% 293.41/42.82
% 293.41/42.82 [24361] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [24587] ~(left_apart_point(A39_2047_9, L40_2047_9) | left_apart_point(A39_2047_9, reverse_line(L40_2047_9)))
% 293.41/42.82
% 293.41/42.82 [24587] ALPHA_NOT_OR : ~(left_apart_point(A39_2047_9, L40_2047_9) | left_apart_point(A39_2047_9, reverse_line(L40_2047_9)))
% 293.41/42.82 -> [24589] ~left_apart_point(A39_2047_9, L40_2047_9), ~left_apart_point(A39_2047_9, reverse_line(L40_2047_9))
% 293.41/42.82
% 293.41/42.82 [24589] CLOSURE : ~left_apart_point(A39_2047_9, L40_2047_9)
% 293.41/42.82
% 293.41/42.82 [24360] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [24657] ~(left_apart_point(A39_2056_9, L40_2056_9) | left_apart_point(A39_2056_9, reverse_line(L40_2056_9)))
% 293.41/42.82
% 293.41/42.82 [24657] ALPHA_NOT_OR : ~(left_apart_point(A39_2056_9, L40_2056_9) | left_apart_point(A39_2056_9, reverse_line(L40_2056_9)))
% 293.41/42.82 -> [24660] ~left_apart_point(A39_2056_9, L40_2056_9), ~left_apart_point(A39_2056_9, reverse_line(L40_2056_9))
% 293.41/42.82
% 293.41/42.82 [24660] CLOSURE : ~left_apart_point(A39_2056_9, L40_2056_9)
% 293.41/42.82
% 293.41/42.82 [24352] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1027_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1027_8)))
% 293.41/42.82 -> [24422] ~unequally_directed_lines(skolem_N7979, M38_1027_8)
% 293.41/42.82 -> [24423] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1027_8))
% 293.41/42.82
% 293.41/42.82 [24422] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1027_8)
% 293.41/42.82
% 293.41/42.82 [24423] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1027_8))
% 293.41/42.82
% 293.41/42.82 [167] 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)))
% 293.41/42.82 -> [178] (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)))
% 293.41/42.82
% 293.41/42.82 [178] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.41/42.82 -> [196] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))
% 293.41/42.82 -> [197] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.41/42.82
% 293.41/42.82 [197] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.41/42.82 -> [332] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.41/42.82
% 293.41/42.82 [332] 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)))
% 293.41/42.82 -> [335] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 293.41/42.82 -> [336] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [336] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.41/42.82 -> [938] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.41/42.82 -> [939] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [938] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.41/42.82 -> [1649] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.82
% 293.41/42.82 [1649] 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))))
% 293.41/42.82 -> [1810] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.41/42.82
% 293.41/42.82 [1810] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.41/42.82 -> [1813] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.82 -> [1814] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.41/42.82
% 293.41/42.82 [1813] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.82
% 293.41/42.82 [1814] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.41/42.82 -> [2232] distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.82 -> [2233] distinct_points(skolem_C8282, skolem_B8181)
% 293.41/42.82
% 293.41/42.82 [2232] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.82
% 293.41/42.82 [2233] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.41/42.82 -> [4592] ~distinct_lines(N27_116_3, N27_116_3)
% 293.41/42.82
% 293.41/42.82 [4592] 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))))
% 293.41/42.82 -> [4620] (distinct_lines(N27_116_3, N27_116_3) => (distinct_lines(N27_116_3, N27_116_3) | distinct_lines(N27_116_3, N27_116_3)))
% 293.41/42.82
% 293.41/42.82 [4620] 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)))
% 293.41/42.82 -> [4622] ~distinct_lines(N27_116_3, N27_116_3)
% 293.41/42.82 -> [4623] (distinct_lines(N27_116_3, N27_116_3) | distinct_lines(N27_116_3, N27_116_3))
% 293.41/42.82
% 293.41/42.82 [4623] BETA_OR : (distinct_lines(N27_116_3, N27_116_3) | distinct_lines(N27_116_3, N27_116_3))
% 293.41/42.82 -> [4628] distinct_lines(N27_116_3, N27_116_3)
% 293.41/42.82 -> [4629] distinct_lines(N27_116_3, N27_116_3)
% 293.41/42.82
% 293.41/42.82 [4628] CLOSURE : distinct_lines(N27_116_3, N27_116_3)
% 293.41/42.82
% 293.41/42.82 [4629] CLOSURE : distinct_lines(N27_116_3, N27_116_3)
% 293.41/42.82
% 293.41/42.82 [4622] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.41/42.82 -> [4709] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [4709] 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))))
% 293.41/42.82 -> [4745] (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))))
% 293.41/42.82
% 293.41/42.82 [4745] 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))))
% 293.41/42.82 -> [4747] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82 -> [4748] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.41/42.82
% 293.41/42.82 [4747] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [4748] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.41/42.82 -> [8881] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82 -> [8882] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [8882] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [8881] 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))))))
% 293.41/42.82 -> [12983] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_192_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_192_6))) | (unequally_directed_lines(skolem_N7979, N34_192_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_192_6)))))
% 293.41/42.82
% 293.41/42.82 [12983] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_192_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_192_6))) | (unequally_directed_lines(skolem_N7979, N34_192_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_192_6)))))
% 293.41/42.82 -> [12985] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [12986] ((unequally_directed_lines(skolem_M7878, N34_192_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_192_6))) | (unequally_directed_lines(skolem_N7979, N34_192_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_192_6))))
% 293.41/42.82
% 293.41/42.82 [12985] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [12999] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82 -> [13000] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [13000] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [12999] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82
% 293.41/42.82 [12986] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_192_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_192_6))) | (unequally_directed_lines(skolem_N7979, N34_192_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_192_6))))
% 293.41/42.82 -> [13513] (unequally_directed_lines(skolem_M7878, N34_192_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_192_6)))
% 293.41/42.82 -> [13514] (unequally_directed_lines(skolem_N7979, N34_192_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_192_6)))
% 293.41/42.82
% 293.41/42.82 [13513] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_192_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_192_6)))
% 293.41/42.82 -> [13525] unequally_directed_lines(skolem_M7878, N34_192_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_192_6))
% 293.41/42.82
% 293.41/42.82 [13525] 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)))))
% 293.41/42.82 -> [13548] ((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)))))
% 293.41/42.82
% 293.41/42.82 [13548] 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)))))
% 293.41/42.82 -> [13551] ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.41/42.82 -> [13552] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 293.41/42.82
% 293.41/42.82 [13552] 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))))
% 293.41/42.82 -> [13558] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82 -> [13559] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 293.41/42.82
% 293.41/42.82 [13558] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [13559] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [13658] ((unequally_directed_lines(skolem_M7878, M38_347_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_347_8))) => (left_convergent_lines(skolem_M7878, M38_347_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_347_8))))
% 293.41/42.82
% 293.41/42.82 [13658] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_347_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_347_8))) => (left_convergent_lines(skolem_M7878, M38_347_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_347_8))))
% 293.41/42.82 -> [13663] ~(unequally_directed_lines(skolem_M7878, M38_347_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_347_8)))
% 293.41/42.82 -> [13664] (left_convergent_lines(skolem_M7878, M38_347_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_347_8)))
% 293.41/42.82
% 293.41/42.82 [13663] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_347_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_347_8)))
% 293.41/42.82 -> [13669] ~unequally_directed_lines(skolem_M7878, M38_347_8)
% 293.41/42.82 -> [13670] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_347_8))
% 293.41/42.82
% 293.41/42.82 [13670] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_347_8))
% 293.41/42.82
% 293.41/42.82 [13669] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_347_8)
% 293.41/42.82
% 293.41/42.82 [13664] BETA_OR : (left_convergent_lines(skolem_M7878, M38_347_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_347_8)))
% 293.41/42.82 -> [13667] left_convergent_lines(skolem_M7878, M38_347_8)
% 293.41/42.82 -> [13668] left_convergent_lines(skolem_M7878, reverse_line(M38_347_8))
% 293.41/42.82
% 293.41/42.82 [13668] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [13687] ~(left_apart_point(A39_642_9, L40_642_9) | left_apart_point(A39_642_9, reverse_line(L40_642_9)))
% 293.41/42.82
% 293.41/42.82 [13687] ALPHA_NOT_OR : ~(left_apart_point(A39_642_9, L40_642_9) | left_apart_point(A39_642_9, reverse_line(L40_642_9)))
% 293.41/42.82 -> [13688] ~left_apart_point(A39_642_9, L40_642_9), ~left_apart_point(A39_642_9, reverse_line(L40_642_9))
% 293.41/42.82
% 293.41/42.82 [13688] CLOSURE : ~left_apart_point(A39_642_9, L40_642_9)
% 293.41/42.82
% 293.41/42.82 [13667] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [13690] ~(left_apart_point(A39_643_9, L40_643_9) | left_apart_point(A39_643_9, reverse_line(L40_643_9)))
% 293.41/42.82
% 293.41/42.82 [13690] ALPHA_NOT_OR : ~(left_apart_point(A39_643_9, L40_643_9) | left_apart_point(A39_643_9, reverse_line(L40_643_9)))
% 293.41/42.82 -> [13694] ~left_apart_point(A39_643_9, L40_643_9), ~left_apart_point(A39_643_9, reverse_line(L40_643_9))
% 293.41/42.82
% 293.41/42.82 [13694] CLOSURE : ~left_apart_point(A39_643_9, L40_643_9)
% 293.41/42.82
% 293.41/42.82 [13551] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.41/42.82 -> [13571] ~line(reverse_line(skolem_N7979))
% 293.41/42.82 -> [13572] ~line(reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [13571] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [13597] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.82
% 293.41/42.82 [13597] 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))))
% 293.41/42.82 -> [13604] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [13605] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82
% 293.41/42.82 [13604] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [13612] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82 -> [13613] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [13613] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [13612] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82
% 293.41/42.82 [13605] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [13607] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82 -> [13608] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [13608] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [13951] ~(left_apart_point(A39_686_9, L40_686_9) | left_apart_point(A39_686_9, reverse_line(L40_686_9)))
% 293.41/42.82
% 293.41/42.82 [13951] ALPHA_NOT_OR : ~(left_apart_point(A39_686_9, L40_686_9) | left_apart_point(A39_686_9, reverse_line(L40_686_9)))
% 293.41/42.82 -> [13954] ~left_apart_point(A39_686_9, L40_686_9), ~left_apart_point(A39_686_9, reverse_line(L40_686_9))
% 293.41/42.82
% 293.41/42.82 [13954] CLOSURE : ~left_apart_point(A39_686_9, L40_686_9)
% 293.41/42.82
% 293.41/42.82 [13607] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [13981] ~(left_apart_point(A39_691_9, L40_691_9) | left_apart_point(A39_691_9, reverse_line(L40_691_9)))
% 293.41/42.82
% 293.41/42.82 [13981] ALPHA_NOT_OR : ~(left_apart_point(A39_691_9, L40_691_9) | left_apart_point(A39_691_9, reverse_line(L40_691_9)))
% 293.41/42.82 -> [13982] ~left_apart_point(A39_691_9, L40_691_9), ~left_apart_point(A39_691_9, reverse_line(L40_691_9))
% 293.41/42.82
% 293.41/42.82 [13982] CLOSURE : ~left_apart_point(A39_691_9, L40_691_9)
% 293.41/42.82
% 293.41/42.82 [13572] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [13881] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.82
% 293.41/42.82 [13881] 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))))
% 293.41/42.82 -> [13883] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [13884] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82
% 293.41/42.82 [13883] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [13935] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82 -> [13936] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [13936] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [13935] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82
% 293.41/42.82 [13884] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [13888] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82 -> [13889] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [13889] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [14038] ~(left_apart_point(A39_696_9, L40_696_9) | left_apart_point(A39_696_9, reverse_line(L40_696_9)))
% 293.41/42.82
% 293.41/42.82 [14038] ALPHA_NOT_OR : ~(left_apart_point(A39_696_9, L40_696_9) | left_apart_point(A39_696_9, reverse_line(L40_696_9)))
% 293.41/42.82 -> [14042] ~left_apart_point(A39_696_9, L40_696_9), ~left_apart_point(A39_696_9, reverse_line(L40_696_9))
% 293.41/42.82
% 293.41/42.82 [14042] CLOSURE : ~left_apart_point(A39_696_9, L40_696_9)
% 293.41/42.82
% 293.41/42.82 [13888] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [14082] ~(left_apart_point(A39_699_9, L40_699_9) | left_apart_point(A39_699_9, reverse_line(L40_699_9)))
% 293.41/42.82
% 293.41/42.82 [14082] ALPHA_NOT_OR : ~(left_apart_point(A39_699_9, L40_699_9) | left_apart_point(A39_699_9, reverse_line(L40_699_9)))
% 293.41/42.82 -> [14083] ~left_apart_point(A39_699_9, L40_699_9), ~left_apart_point(A39_699_9, reverse_line(L40_699_9))
% 293.41/42.82
% 293.41/42.82 [14083] CLOSURE : ~left_apart_point(A39_699_9, L40_699_9)
% 293.41/42.82
% 293.41/42.82 [13514] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_192_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_192_6)))
% 293.41/42.82 -> [13519] unequally_directed_lines(skolem_N7979, N34_192_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_192_6))
% 293.41/42.82
% 293.41/42.82 [13519] 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)))))
% 293.41/42.82 -> [14123] ((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)))))
% 293.41/42.82
% 293.41/42.82 [14123] 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)))))
% 293.41/42.82 -> [14126] ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.41/42.82 -> [14127] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 293.41/42.82
% 293.41/42.82 [14126] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.41/42.82 -> [14202] ~line(reverse_line(skolem_N7979))
% 293.41/42.82 -> [14203] ~line(reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [14203] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [14344] ((unequally_directed_lines(skolem_N7979, M38_387_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_387_8))) => (left_convergent_lines(skolem_N7979, M38_387_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_387_8))))
% 293.41/42.82
% 293.41/42.82 [14344] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_387_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_387_8))) => (left_convergent_lines(skolem_N7979, M38_387_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_387_8))))
% 293.41/42.82 -> [14346] ~(unequally_directed_lines(skolem_N7979, M38_387_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_387_8)))
% 293.41/42.82 -> [14347] (left_convergent_lines(skolem_N7979, M38_387_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_387_8)))
% 293.41/42.82
% 293.41/42.82 [14346] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_387_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_387_8)))
% 293.41/42.82 -> [14404] ~unequally_directed_lines(skolem_N7979, M38_387_8)
% 293.41/42.82 -> [14405] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_387_8))
% 293.41/42.82
% 293.41/42.82 [14405] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_387_8))
% 293.41/42.82
% 293.41/42.82 [14404] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_387_8)
% 293.41/42.82
% 293.41/42.82 [14347] BETA_OR : (left_convergent_lines(skolem_N7979, M38_387_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_387_8)))
% 293.41/42.82 -> [14349] left_convergent_lines(skolem_N7979, M38_387_8)
% 293.41/42.82 -> [14350] left_convergent_lines(skolem_N7979, reverse_line(M38_387_8))
% 293.41/42.82
% 293.41/42.82 [14349] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [14765] ~(left_apart_point(A39_787_9, L40_787_9) | left_apart_point(A39_787_9, reverse_line(L40_787_9)))
% 293.41/42.82
% 293.41/42.82 [14765] ALPHA_NOT_OR : ~(left_apart_point(A39_787_9, L40_787_9) | left_apart_point(A39_787_9, reverse_line(L40_787_9)))
% 293.41/42.82 -> [14767] ~left_apart_point(A39_787_9, L40_787_9), ~left_apart_point(A39_787_9, reverse_line(L40_787_9))
% 293.41/42.82
% 293.41/42.82 [14767] CLOSURE : ~left_apart_point(A39_787_9, L40_787_9)
% 293.41/42.82
% 293.41/42.82 [14350] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [14771] ~(left_apart_point(A39_788_9, L40_788_9) | left_apart_point(A39_788_9, reverse_line(L40_788_9)))
% 293.41/42.82
% 293.41/42.82 [14771] ALPHA_NOT_OR : ~(left_apart_point(A39_788_9, L40_788_9) | left_apart_point(A39_788_9, reverse_line(L40_788_9)))
% 293.41/42.82 -> [14774] ~left_apart_point(A39_788_9, L40_788_9), ~left_apart_point(A39_788_9, reverse_line(L40_788_9))
% 293.41/42.82
% 293.41/42.82 [14774] CLOSURE : ~left_apart_point(A39_788_9, L40_788_9)
% 293.41/42.82
% 293.41/42.82 [14202] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [14395] ((unequally_directed_lines(skolem_N7979, M38_392_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_392_8))) => (left_convergent_lines(skolem_N7979, M38_392_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_392_8))))
% 293.41/42.82
% 293.41/42.82 [14395] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_392_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_392_8))) => (left_convergent_lines(skolem_N7979, M38_392_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_392_8))))
% 293.41/42.82 -> [14398] ~(unequally_directed_lines(skolem_N7979, M38_392_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_392_8)))
% 293.41/42.82 -> [14399] (left_convergent_lines(skolem_N7979, M38_392_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_392_8)))
% 293.41/42.82
% 293.41/42.82 [14398] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_392_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_392_8)))
% 293.41/42.82 -> [14530] ~unequally_directed_lines(skolem_N7979, M38_392_8)
% 293.41/42.82 -> [14531] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_392_8))
% 293.41/42.82
% 293.41/42.82 [14531] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_392_8))
% 293.41/42.82
% 293.41/42.82 [14530] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_392_8)
% 293.41/42.82
% 293.41/42.82 [14399] BETA_OR : (left_convergent_lines(skolem_N7979, M38_392_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_392_8)))
% 293.41/42.82 -> [14402] left_convergent_lines(skolem_N7979, M38_392_8)
% 293.41/42.82 -> [14403] left_convergent_lines(skolem_N7979, reverse_line(M38_392_8))
% 293.41/42.82
% 293.41/42.82 [14403] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [14757] ~(left_apart_point(A39_785_9, L40_785_9) | left_apart_point(A39_785_9, reverse_line(L40_785_9)))
% 293.41/42.82
% 293.41/42.82 [14757] ALPHA_NOT_OR : ~(left_apart_point(A39_785_9, L40_785_9) | left_apart_point(A39_785_9, reverse_line(L40_785_9)))
% 293.41/42.82 -> [14760] ~left_apart_point(A39_785_9, L40_785_9), ~left_apart_point(A39_785_9, reverse_line(L40_785_9))
% 293.41/42.82
% 293.41/42.82 [14760] CLOSURE : ~left_apart_point(A39_785_9, L40_785_9)
% 293.41/42.82
% 293.41/42.82 [14402] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [14872] ~(left_apart_point(A39_807_9, L40_807_9) | left_apart_point(A39_807_9, reverse_line(L40_807_9)))
% 293.41/42.82
% 293.41/42.82 [14872] ALPHA_NOT_OR : ~(left_apart_point(A39_807_9, L40_807_9) | left_apart_point(A39_807_9, reverse_line(L40_807_9)))
% 293.41/42.82 -> [14873] ~left_apart_point(A39_807_9, L40_807_9), ~left_apart_point(A39_807_9, reverse_line(L40_807_9))
% 293.41/42.82
% 293.41/42.82 [14873] CLOSURE : ~left_apart_point(A39_807_9, L40_807_9)
% 293.41/42.82
% 293.41/42.82 [14127] 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))))
% 293.41/42.82 -> [14134] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82 -> [14135] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 293.41/42.82
% 293.41/42.82 [14134] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [14135] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [18092] ((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))))
% 293.41/42.82
% 293.41/42.82 [18092] 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))))
% 293.41/42.82 -> [18093] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [18094] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82
% 293.41/42.82 [18093] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [18104] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82 -> [18105] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [18105] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [18104] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82
% 293.41/42.82 [18094] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [18097] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82 -> [18098] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [18098] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [18132] ~(left_apart_point(A39_1175_9, L40_1175_9) | left_apart_point(A39_1175_9, reverse_line(L40_1175_9)))
% 293.41/42.82
% 293.41/42.82 [18132] ALPHA_NOT_OR : ~(left_apart_point(A39_1175_9, L40_1175_9) | left_apart_point(A39_1175_9, reverse_line(L40_1175_9)))
% 293.41/42.82 -> [18133] ~left_apart_point(A39_1175_9, L40_1175_9), ~left_apart_point(A39_1175_9, reverse_line(L40_1175_9))
% 293.41/42.82
% 293.41/42.82 [18133] CLOSURE : ~left_apart_point(A39_1175_9, L40_1175_9)
% 293.41/42.82
% 293.41/42.82 [18097] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [18154] ~(left_apart_point(A39_1177_9, L40_1177_9) | left_apart_point(A39_1177_9, reverse_line(L40_1177_9)))
% 293.41/42.82
% 293.41/42.82 [18154] ALPHA_NOT_OR : ~(left_apart_point(A39_1177_9, L40_1177_9) | left_apart_point(A39_1177_9, reverse_line(L40_1177_9)))
% 293.41/42.82 -> [18158] ~left_apart_point(A39_1177_9, L40_1177_9), ~left_apart_point(A39_1177_9, reverse_line(L40_1177_9))
% 293.41/42.82
% 293.41/42.82 [18158] CLOSURE : ~left_apart_point(A39_1177_9, L40_1177_9)
% 293.41/42.82
% 293.41/42.82 [939] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.41/42.82 -> [1379] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.82
% 293.41/42.82 [1379] 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))))
% 293.41/42.82 -> [1918] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.41/42.82
% 293.41/42.82 [1918] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.41/42.82 -> [1921] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.82 -> [1922] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.41/42.82
% 293.41/42.82 [1921] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.82
% 293.41/42.82 [1922] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.41/42.82 -> [5601] distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.82 -> [5602] distinct_points(skolem_C8282, skolem_B8181)
% 293.41/42.82
% 293.41/42.82 [5601] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.82
% 293.41/42.82 [5602] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.41/42.82 -> [7951] ~distinct_lines(N27_250_3, N27_250_3)
% 293.41/42.82
% 293.41/42.82 [7951] 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))))
% 293.41/42.82 -> [8027] (distinct_lines(N27_250_3, N27_250_3) => (distinct_lines(N27_250_3, N27_250_3) | distinct_lines(N27_250_3, N27_250_3)))
% 293.41/42.82
% 293.41/42.82 [8027] BETA_IMPLY : (distinct_lines(N27_250_3, N27_250_3) => (distinct_lines(N27_250_3, N27_250_3) | distinct_lines(N27_250_3, N27_250_3)))
% 293.41/42.82 -> [8031] ~distinct_lines(N27_250_3, N27_250_3)
% 293.41/42.82 -> [8032] (distinct_lines(N27_250_3, N27_250_3) | distinct_lines(N27_250_3, N27_250_3))
% 293.41/42.82
% 293.41/42.82 [8032] BETA_OR : (distinct_lines(N27_250_3, N27_250_3) | distinct_lines(N27_250_3, N27_250_3))
% 293.41/42.82 -> [8040] distinct_lines(N27_250_3, N27_250_3)
% 293.41/42.82 -> [8041] distinct_lines(N27_250_3, N27_250_3)
% 293.41/42.82
% 293.41/42.82 [8041] CLOSURE : distinct_lines(N27_250_3, N27_250_3)
% 293.41/42.82
% 293.41/42.82 [8040] CLOSURE : distinct_lines(N27_250_3, N27_250_3)
% 293.41/42.82
% 293.41/42.82 [8031] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.41/42.82 -> [8202] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [8202] 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))))
% 293.41/42.82 -> [8541] (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))))
% 293.41/42.82
% 293.41/42.82 [8541] 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))))
% 293.41/42.82 -> [8544] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82 -> [8545] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.41/42.82
% 293.41/42.82 [8544] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [8545] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.41/42.82 -> [9927] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82 -> [9928] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [9928] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [9927] 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))))))
% 293.41/42.82 -> [10199] ((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)))))
% 293.41/42.82
% 293.41/42.82 [10199] 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)))))
% 293.41/42.82 -> [10200] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [10201] ((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))))
% 293.41/42.82
% 293.41/42.82 [10200] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [10227] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82 -> [10228] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [10228] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [10227] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82
% 293.41/42.82 [10201] 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))))
% 293.41/42.82 -> [13617] (unequally_directed_lines(skolem_M7878, N34_121_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_121_6)))
% 293.41/42.82 -> [13618] (unequally_directed_lines(skolem_N7979, N34_121_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_121_6)))
% 293.41/42.82
% 293.41/42.82 [13617] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_121_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_121_6)))
% 293.41/42.82 -> [13689] unequally_directed_lines(skolem_M7878, N34_121_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_121_6))
% 293.41/42.82
% 293.41/42.82 [13689] 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)))))
% 293.41/42.82 -> [14112] ((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)))))
% 293.41/42.82
% 293.41/42.82 [14112] 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)))))
% 293.41/42.82 -> [14113] ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.41/42.82 -> [14114] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 293.41/42.82
% 293.41/42.82 [14113] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.41/42.82 -> [14223] ~line(skolem_L7777)
% 293.41/42.82 -> [14224] ~line(line_connecting(skolem_B8181, skolem_C8282))
% 293.41/42.82
% 293.41/42.82 [14223] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [14770] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.82
% 293.41/42.82 [14770] 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))))
% 293.41/42.82 -> [14772] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [14773] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82
% 293.41/42.82 [14772] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [14781] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82 -> [14782] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [14782] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [14781] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82
% 293.41/42.82 [14773] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [14777] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82 -> [14778] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [14778] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [14815] ~(left_apart_point(A39_795_9, L40_795_9) | left_apart_point(A39_795_9, reverse_line(L40_795_9)))
% 293.41/42.82
% 293.41/42.82 [14815] ALPHA_NOT_OR : ~(left_apart_point(A39_795_9, L40_795_9) | left_apart_point(A39_795_9, reverse_line(L40_795_9)))
% 293.41/42.82 -> [14817] ~left_apart_point(A39_795_9, L40_795_9), ~left_apart_point(A39_795_9, reverse_line(L40_795_9))
% 293.41/42.82
% 293.41/42.82 [14817] CLOSURE : ~left_apart_point(A39_795_9, L40_795_9)
% 293.41/42.82
% 293.41/42.82 [14777] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [14826] ~(left_apart_point(A39_798_9, L40_798_9) | left_apart_point(A39_798_9, reverse_line(L40_798_9)))
% 293.41/42.82
% 293.41/42.82 [14826] ALPHA_NOT_OR : ~(left_apart_point(A39_798_9, L40_798_9) | left_apart_point(A39_798_9, reverse_line(L40_798_9)))
% 293.41/42.82 -> [14832] ~left_apart_point(A39_798_9, L40_798_9), ~left_apart_point(A39_798_9, reverse_line(L40_798_9))
% 293.41/42.82
% 293.41/42.82 [14832] CLOSURE : ~left_apart_point(A39_798_9, L40_798_9)
% 293.41/42.82
% 293.41/42.82 [14224] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [14687] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.82
% 293.41/42.82 [14687] 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))))
% 293.41/42.82 -> [14689] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [14690] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82
% 293.41/42.82 [14689] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [14779] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82 -> [14780] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [14780] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [14779] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82
% 293.41/42.82 [14690] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [14698] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82 -> [14699] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [14699] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [15053] ~(left_apart_point(A39_831_9, L40_831_9) | left_apart_point(A39_831_9, reverse_line(L40_831_9)))
% 293.41/42.82
% 293.41/42.82 [15053] ALPHA_NOT_OR : ~(left_apart_point(A39_831_9, L40_831_9) | left_apart_point(A39_831_9, reverse_line(L40_831_9)))
% 293.41/42.82 -> [15054] ~left_apart_point(A39_831_9, L40_831_9), ~left_apart_point(A39_831_9, reverse_line(L40_831_9))
% 293.41/42.82
% 293.41/42.82 [15054] CLOSURE : ~left_apart_point(A39_831_9, L40_831_9)
% 293.41/42.82
% 293.41/42.82 [14698] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [15211] ~(left_apart_point(A39_854_9, L40_854_9) | left_apart_point(A39_854_9, reverse_line(L40_854_9)))
% 293.41/42.82
% 293.41/42.82 [15211] ALPHA_NOT_OR : ~(left_apart_point(A39_854_9, L40_854_9) | left_apart_point(A39_854_9, reverse_line(L40_854_9)))
% 293.41/42.82 -> [15213] ~left_apart_point(A39_854_9, L40_854_9), ~left_apart_point(A39_854_9, reverse_line(L40_854_9))
% 293.41/42.82
% 293.41/42.82 [15213] CLOSURE : ~left_apart_point(A39_854_9, L40_854_9)
% 293.41/42.82
% 293.41/42.82 [14114] 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))))
% 293.41/42.82 -> [14116] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.41/42.82 -> [14117] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.41/42.82
% 293.41/42.82 [14116] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.41/42.82
% 293.41/42.82 [14117] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [19061] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.82
% 293.41/42.82 [19061] 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))))
% 293.41/42.82 -> [19062] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [19063] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82
% 293.41/42.82 [19063] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [19068] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82 -> [19069] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [19068] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [19484] ~(left_apart_point(A39_1352_9, L40_1352_9) | left_apart_point(A39_1352_9, reverse_line(L40_1352_9)))
% 293.41/42.82
% 293.41/42.82 [19484] ALPHA_NOT_OR : ~(left_apart_point(A39_1352_9, L40_1352_9) | left_apart_point(A39_1352_9, reverse_line(L40_1352_9)))
% 293.41/42.82 -> [19489] ~left_apart_point(A39_1352_9, L40_1352_9), ~left_apart_point(A39_1352_9, reverse_line(L40_1352_9))
% 293.41/42.82
% 293.41/42.82 [19489] CLOSURE : ~left_apart_point(A39_1352_9, L40_1352_9)
% 293.41/42.82
% 293.41/42.82 [19069] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [19492] ~(left_apart_point(A39_1353_9, L40_1353_9) | left_apart_point(A39_1353_9, reverse_line(L40_1353_9)))
% 293.41/42.82
% 293.41/42.82 [19492] ALPHA_NOT_OR : ~(left_apart_point(A39_1353_9, L40_1353_9) | left_apart_point(A39_1353_9, reverse_line(L40_1353_9)))
% 293.41/42.82 -> [19493] ~left_apart_point(A39_1353_9, L40_1353_9), ~left_apart_point(A39_1353_9, reverse_line(L40_1353_9))
% 293.41/42.82
% 293.41/42.82 [19493] CLOSURE : ~left_apart_point(A39_1353_9, L40_1353_9)
% 293.41/42.82
% 293.41/42.82 [19062] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [19359] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82 -> [19360] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [19360] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [19359] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82
% 293.41/42.82 [13618] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_121_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_121_6)))
% 293.41/42.82 -> [13622] unequally_directed_lines(skolem_N7979, N34_121_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_121_6))
% 293.41/42.82
% 293.41/42.82 [13622] 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)))))
% 293.41/42.82 -> [14073] ((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))))
% 293.41/42.82
% 293.41/42.82 [14073] 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))))
% 293.41/42.82 -> [14074] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.41/42.82 -> [14075] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.41/42.82
% 293.41/42.82 [14074] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.41/42.82 -> [14130] ~line(reverse_line(skolem_N7979))
% 293.41/42.82 -> [14131] ~line(skolem_N7979)
% 293.41/42.82
% 293.41/42.82 [14131] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [15339] ((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))))
% 293.41/42.82
% 293.41/42.82 [15339] 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))))
% 293.41/42.82 -> [15342] ~(unequally_directed_lines(skolem_N7979, M38_450_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_450_8)))
% 293.41/42.82 -> [15343] (left_convergent_lines(skolem_N7979, M38_450_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_450_8)))
% 293.41/42.82
% 293.41/42.82 [15342] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_450_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_450_8)))
% 293.41/42.82 -> [15445] ~unequally_directed_lines(skolem_N7979, M38_450_8)
% 293.41/42.82 -> [15446] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_450_8))
% 293.41/42.82
% 293.41/42.82 [15446] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_450_8))
% 293.41/42.82
% 293.41/42.82 [15445] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_450_8)
% 293.41/42.82
% 293.41/42.82 [15343] BETA_OR : (left_convergent_lines(skolem_N7979, M38_450_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_450_8)))
% 293.41/42.82 -> [15344] left_convergent_lines(skolem_N7979, M38_450_8)
% 293.41/42.82 -> [15345] left_convergent_lines(skolem_N7979, reverse_line(M38_450_8))
% 293.41/42.82
% 293.41/42.82 [15345] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [15862] ~(left_apart_point(A39_917_9, L40_917_9) | left_apart_point(A39_917_9, reverse_line(L40_917_9)))
% 293.41/42.82
% 293.41/42.82 [15862] ALPHA_NOT_OR : ~(left_apart_point(A39_917_9, L40_917_9) | left_apart_point(A39_917_9, reverse_line(L40_917_9)))
% 293.41/42.82 -> [15866] ~left_apart_point(A39_917_9, L40_917_9), ~left_apart_point(A39_917_9, reverse_line(L40_917_9))
% 293.41/42.82
% 293.41/42.82 [15866] CLOSURE : ~left_apart_point(A39_917_9, L40_917_9)
% 293.41/42.82
% 293.41/42.82 [15344] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [16015] ~(left_apart_point(A39_930_9, L40_930_9) | left_apart_point(A39_930_9, reverse_line(L40_930_9)))
% 293.41/42.82
% 293.41/42.82 [16015] ALPHA_NOT_OR : ~(left_apart_point(A39_930_9, L40_930_9) | left_apart_point(A39_930_9, reverse_line(L40_930_9)))
% 293.41/42.82 -> [16018] ~left_apart_point(A39_930_9, L40_930_9), ~left_apart_point(A39_930_9, reverse_line(L40_930_9))
% 293.41/42.82
% 293.41/42.82 [16018] CLOSURE : ~left_apart_point(A39_930_9, L40_930_9)
% 293.41/42.82
% 293.41/42.82 [14130] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [15349] ((unequally_directed_lines(skolem_N7979, M38_451_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_451_8))) => (left_convergent_lines(skolem_N7979, M38_451_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_451_8))))
% 293.41/42.82
% 293.41/42.82 [15349] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_451_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_451_8))) => (left_convergent_lines(skolem_N7979, M38_451_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_451_8))))
% 293.41/42.82 -> [15352] ~(unequally_directed_lines(skolem_N7979, M38_451_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_451_8)))
% 293.41/42.82 -> [15353] (left_convergent_lines(skolem_N7979, M38_451_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_451_8)))
% 293.41/42.82
% 293.41/42.82 [15353] BETA_OR : (left_convergent_lines(skolem_N7979, M38_451_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_451_8)))
% 293.41/42.82 -> [15358] left_convergent_lines(skolem_N7979, M38_451_8)
% 293.41/42.82 -> [15359] left_convergent_lines(skolem_N7979, reverse_line(M38_451_8))
% 293.41/42.82
% 293.41/42.82 [15359] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [15603] ~(left_apart_point(A39_887_9, L40_887_9) | left_apart_point(A39_887_9, reverse_line(L40_887_9)))
% 293.41/42.82
% 293.41/42.82 [15603] ALPHA_NOT_OR : ~(left_apart_point(A39_887_9, L40_887_9) | left_apart_point(A39_887_9, reverse_line(L40_887_9)))
% 293.41/42.82 -> [15606] ~left_apart_point(A39_887_9, L40_887_9), ~left_apart_point(A39_887_9, reverse_line(L40_887_9))
% 293.41/42.82
% 293.41/42.82 [15606] CLOSURE : ~left_apart_point(A39_887_9, L40_887_9)
% 293.41/42.82
% 293.41/42.82 [15358] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [15627] ~(left_apart_point(A39_889_9, L40_889_9) | left_apart_point(A39_889_9, reverse_line(L40_889_9)))
% 293.41/42.82
% 293.41/42.82 [15627] ALPHA_NOT_OR : ~(left_apart_point(A39_889_9, L40_889_9) | left_apart_point(A39_889_9, reverse_line(L40_889_9)))
% 293.41/42.82 -> [15628] ~left_apart_point(A39_889_9, L40_889_9), ~left_apart_point(A39_889_9, reverse_line(L40_889_9))
% 293.41/42.82
% 293.41/42.82 [15628] CLOSURE : ~left_apart_point(A39_889_9, L40_889_9)
% 293.41/42.82
% 293.41/42.82 [15352] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_451_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_451_8)))
% 293.41/42.82 -> [15458] ~unequally_directed_lines(skolem_N7979, M38_451_8)
% 293.41/42.82 -> [15459] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_451_8))
% 293.41/42.82
% 293.41/42.82 [15459] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_451_8))
% 293.41/42.82
% 293.41/42.82 [15458] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_451_8)
% 293.41/42.82
% 293.41/42.82 [14075] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.41/42.82 -> [14076] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 293.41/42.82 -> [14077] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [14077] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [14076] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [21603] ((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))))
% 293.41/42.82
% 293.41/42.82 [21603] 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))))
% 293.41/42.82 -> [21604] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [21605] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82
% 293.41/42.82 [21604] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [21633] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82 -> [21634] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [21634] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [21633] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82
% 293.41/42.82 [21605] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [21610] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82 -> [21611] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [21611] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [21761] ~(left_apart_point(A39_1636_9, L40_1636_9) | left_apart_point(A39_1636_9, reverse_line(L40_1636_9)))
% 293.41/42.82
% 293.41/42.82 [21761] ALPHA_NOT_OR : ~(left_apart_point(A39_1636_9, L40_1636_9) | left_apart_point(A39_1636_9, reverse_line(L40_1636_9)))
% 293.41/42.82 -> [21763] ~left_apart_point(A39_1636_9, L40_1636_9), ~left_apart_point(A39_1636_9, reverse_line(L40_1636_9))
% 293.41/42.82
% 293.41/42.82 [21763] CLOSURE : ~left_apart_point(A39_1636_9, L40_1636_9)
% 293.41/42.82
% 293.41/42.82 [21610] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [21805] ~(left_apart_point(A39_1647_9, L40_1647_9) | left_apart_point(A39_1647_9, reverse_line(L40_1647_9)))
% 293.41/42.82
% 293.41/42.82 [21805] ALPHA_NOT_OR : ~(left_apart_point(A39_1647_9, L40_1647_9) | left_apart_point(A39_1647_9, reverse_line(L40_1647_9)))
% 293.41/42.82 -> [21809] ~left_apart_point(A39_1647_9, L40_1647_9), ~left_apart_point(A39_1647_9, reverse_line(L40_1647_9))
% 293.41/42.82
% 293.41/42.82 [21809] CLOSURE : ~left_apart_point(A39_1647_9, L40_1647_9)
% 293.41/42.82
% 293.41/42.82 [335] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.41/42.82 -> [1232] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.41/42.82 -> [1233] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [1233] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.41/42.82 -> [1259] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.82
% 293.41/42.82 [1259] 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))))
% 293.41/42.82 -> [1268] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.41/42.82
% 293.41/42.82 [1268] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.41/42.82 -> [1270] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.82 -> [1271] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.41/42.82
% 293.41/42.82 [1270] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.82
% 293.41/42.82 [1271] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.41/42.82 -> [1357] distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.82 -> [1358] distinct_points(skolem_C8282, skolem_B8181)
% 293.41/42.82
% 293.41/42.82 [1357] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.82
% 293.41/42.82 [1358] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.41/42.82 -> [4234] ~distinct_lines(N27_166_3, N27_166_3)
% 293.41/42.82
% 293.41/42.82 [4234] 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))))
% 293.41/42.82 -> [5740] (distinct_lines(N27_166_3, N27_166_3) => (distinct_lines(N27_166_3, N27_166_3) | distinct_lines(N27_166_3, N27_166_3)))
% 293.41/42.82
% 293.41/42.82 [5740] BETA_IMPLY : (distinct_lines(N27_166_3, N27_166_3) => (distinct_lines(N27_166_3, N27_166_3) | distinct_lines(N27_166_3, N27_166_3)))
% 293.41/42.82 -> [5741] ~distinct_lines(N27_166_3, N27_166_3)
% 293.41/42.82 -> [5742] (distinct_lines(N27_166_3, N27_166_3) | distinct_lines(N27_166_3, N27_166_3))
% 293.41/42.82
% 293.41/42.82 [5742] BETA_OR : (distinct_lines(N27_166_3, N27_166_3) | distinct_lines(N27_166_3, N27_166_3))
% 293.41/42.82 -> [5745] distinct_lines(N27_166_3, N27_166_3)
% 293.41/42.82 -> [5746] distinct_lines(N27_166_3, N27_166_3)
% 293.41/42.82
% 293.41/42.82 [5746] CLOSURE : distinct_lines(N27_166_3, N27_166_3)
% 293.41/42.82
% 293.41/42.82 [5745] CLOSURE : distinct_lines(N27_166_3, N27_166_3)
% 293.41/42.82
% 293.41/42.82 [5741] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.41/42.82 -> [5960] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [5960] 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))))
% 293.41/42.82 -> [6268] (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))))
% 293.41/42.82
% 293.41/42.82 [6268] 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))))
% 293.41/42.82 -> [6269] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82 -> [6270] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.41/42.82
% 293.41/42.82 [6269] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [6270] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.41/42.82 -> [10330] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82 -> [10331] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [10331] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [10330] 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))))))
% 293.41/42.82 -> [10981] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_140_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_140_6))) | (unequally_directed_lines(skolem_N7979, N34_140_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_140_6)))))
% 293.41/42.82
% 293.41/42.82 [10981] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_140_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_140_6))) | (unequally_directed_lines(skolem_N7979, N34_140_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_140_6)))))
% 293.41/42.82 -> [10984] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [10985] ((unequally_directed_lines(skolem_M7878, N34_140_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_140_6))) | (unequally_directed_lines(skolem_N7979, N34_140_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_140_6))))
% 293.41/42.82
% 293.41/42.82 [10984] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [11033] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82 -> [11034] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [11034] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [11033] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82
% 293.41/42.82 [10985] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_140_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_140_6))) | (unequally_directed_lines(skolem_N7979, N34_140_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_140_6))))
% 293.41/42.82 -> [18293] (unequally_directed_lines(skolem_M7878, N34_140_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_140_6)))
% 293.41/42.82 -> [18294] (unequally_directed_lines(skolem_N7979, N34_140_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_140_6)))
% 293.41/42.82
% 293.41/42.82 [18294] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_140_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_140_6)))
% 293.41/42.82 -> [18297] unequally_directed_lines(skolem_N7979, N34_140_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_140_6))
% 293.41/42.82
% 293.41/42.82 [18297] 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)))))
% 293.41/42.82 -> [18323] ((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)))))
% 293.41/42.82
% 293.41/42.82 [18323] 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)))))
% 293.41/42.82 -> [18327] ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.41/42.82 -> [18328] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 293.41/42.82
% 293.41/42.82 [18327] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.41/42.82 -> [18361] ~line(reverse_line(skolem_N7979))
% 293.41/42.82 -> [18362] ~line(reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [18362] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [18420] ((unequally_directed_lines(skolem_N7979, M38_639_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_639_8))) => (left_convergent_lines(skolem_N7979, M38_639_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_639_8))))
% 293.41/42.82
% 293.41/42.82 [18420] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_639_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_639_8))) => (left_convergent_lines(skolem_N7979, M38_639_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_639_8))))
% 293.41/42.82 -> [18421] ~(unequally_directed_lines(skolem_N7979, M38_639_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_639_8)))
% 293.41/42.82 -> [18422] (left_convergent_lines(skolem_N7979, M38_639_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_639_8)))
% 293.41/42.82
% 293.41/42.82 [18421] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_639_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_639_8)))
% 293.41/42.82 -> [18437] ~unequally_directed_lines(skolem_N7979, M38_639_8)
% 293.41/42.82 -> [18438] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_639_8))
% 293.41/42.82
% 293.41/42.82 [18438] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_639_8))
% 293.41/42.82
% 293.41/42.82 [18437] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_639_8)
% 293.41/42.82
% 293.41/42.82 [18422] BETA_OR : (left_convergent_lines(skolem_N7979, M38_639_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_639_8)))
% 293.41/42.82 -> [18426] left_convergent_lines(skolem_N7979, M38_639_8)
% 293.41/42.82 -> [18427] left_convergent_lines(skolem_N7979, reverse_line(M38_639_8))
% 293.41/42.82
% 293.41/42.82 [18427] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [18568] ~(left_apart_point(A39_1237_9, L40_1237_9) | left_apart_point(A39_1237_9, reverse_line(L40_1237_9)))
% 293.41/42.82
% 293.41/42.82 [18568] ALPHA_NOT_OR : ~(left_apart_point(A39_1237_9, L40_1237_9) | left_apart_point(A39_1237_9, reverse_line(L40_1237_9)))
% 293.41/42.82 -> [18575] ~left_apart_point(A39_1237_9, L40_1237_9), ~left_apart_point(A39_1237_9, reverse_line(L40_1237_9))
% 293.41/42.82
% 293.41/42.82 [18575] CLOSURE : ~left_apart_point(A39_1237_9, L40_1237_9)
% 293.41/42.82
% 293.41/42.82 [18426] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [18610] ~(left_apart_point(A39_1240_9, L40_1240_9) | left_apart_point(A39_1240_9, reverse_line(L40_1240_9)))
% 293.41/42.82
% 293.41/42.82 [18610] ALPHA_NOT_OR : ~(left_apart_point(A39_1240_9, L40_1240_9) | left_apart_point(A39_1240_9, reverse_line(L40_1240_9)))
% 293.41/42.82 -> [18611] ~left_apart_point(A39_1240_9, L40_1240_9), ~left_apart_point(A39_1240_9, reverse_line(L40_1240_9))
% 293.41/42.82
% 293.41/42.82 [18611] CLOSURE : ~left_apart_point(A39_1240_9, L40_1240_9)
% 293.41/42.82
% 293.41/42.82 [18361] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [18499] ((unequally_directed_lines(skolem_N7979, M38_643_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_643_8))) => (left_convergent_lines(skolem_N7979, M38_643_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_643_8))))
% 293.41/42.82
% 293.41/42.82 [18499] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_643_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_643_8))) => (left_convergent_lines(skolem_N7979, M38_643_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_643_8))))
% 293.41/42.82 -> [18502] ~(unequally_directed_lines(skolem_N7979, M38_643_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_643_8)))
% 293.41/42.82 -> [18503] (left_convergent_lines(skolem_N7979, M38_643_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_643_8)))
% 293.41/42.82
% 293.41/42.82 [18502] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_643_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_643_8)))
% 293.41/42.82 -> [18556] ~unequally_directed_lines(skolem_N7979, M38_643_8)
% 293.41/42.82 -> [18557] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_643_8))
% 293.41/42.82
% 293.41/42.82 [18557] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_643_8))
% 293.41/42.82
% 293.41/42.82 [18556] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_643_8)
% 293.41/42.82
% 293.41/42.82 [18503] BETA_OR : (left_convergent_lines(skolem_N7979, M38_643_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_643_8)))
% 293.41/42.82 -> [18508] left_convergent_lines(skolem_N7979, M38_643_8)
% 293.41/42.82 -> [18509] left_convergent_lines(skolem_N7979, reverse_line(M38_643_8))
% 293.41/42.82
% 293.41/42.82 [18509] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [18691] ~(left_apart_point(A39_1251_9, L40_1251_9) | left_apart_point(A39_1251_9, reverse_line(L40_1251_9)))
% 293.41/42.82
% 293.41/42.82 [18691] ALPHA_NOT_OR : ~(left_apart_point(A39_1251_9, L40_1251_9) | left_apart_point(A39_1251_9, reverse_line(L40_1251_9)))
% 293.41/42.82 -> [18694] ~left_apart_point(A39_1251_9, L40_1251_9), ~left_apart_point(A39_1251_9, reverse_line(L40_1251_9))
% 293.41/42.82
% 293.41/42.82 [18694] CLOSURE : ~left_apart_point(A39_1251_9, L40_1251_9)
% 293.41/42.82
% 293.41/42.82 [18508] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [18727] ~(left_apart_point(A39_1252_9, L40_1252_9) | left_apart_point(A39_1252_9, reverse_line(L40_1252_9)))
% 293.41/42.82
% 293.41/42.82 [18727] ALPHA_NOT_OR : ~(left_apart_point(A39_1252_9, L40_1252_9) | left_apart_point(A39_1252_9, reverse_line(L40_1252_9)))
% 293.41/42.82 -> [18728] ~left_apart_point(A39_1252_9, L40_1252_9), ~left_apart_point(A39_1252_9, reverse_line(L40_1252_9))
% 293.41/42.82
% 293.41/42.82 [18728] CLOSURE : ~left_apart_point(A39_1252_9, L40_1252_9)
% 293.41/42.82
% 293.41/42.82 [18328] 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))))
% 293.41/42.82 -> [18331] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82 -> [18332] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 293.41/42.82
% 293.41/42.82 [18331] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [18332] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [19819] ((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))))
% 293.41/42.82
% 293.41/42.82 [19819] 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))))
% 293.41/42.82 -> [19820] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [19821] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82
% 293.41/42.82 [19820] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [19850] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82 -> [19851] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [19851] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [19850] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82
% 293.41/42.82 [19821] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [19824] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82 -> [19825] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [19825] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [19900] ~(left_apart_point(A39_1402_9, L40_1402_9) | left_apart_point(A39_1402_9, reverse_line(L40_1402_9)))
% 293.41/42.82
% 293.41/42.82 [19900] ALPHA_NOT_OR : ~(left_apart_point(A39_1402_9, L40_1402_9) | left_apart_point(A39_1402_9, reverse_line(L40_1402_9)))
% 293.41/42.82 -> [19907] ~left_apart_point(A39_1402_9, L40_1402_9), ~left_apart_point(A39_1402_9, reverse_line(L40_1402_9))
% 293.41/42.82
% 293.41/42.82 [19907] CLOSURE : ~left_apart_point(A39_1402_9, L40_1402_9)
% 293.41/42.82
% 293.41/42.82 [19824] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [19966] ~(left_apart_point(A39_1413_9, L40_1413_9) | left_apart_point(A39_1413_9, reverse_line(L40_1413_9)))
% 293.41/42.82
% 293.41/42.82 [19966] ALPHA_NOT_OR : ~(left_apart_point(A39_1413_9, L40_1413_9) | left_apart_point(A39_1413_9, reverse_line(L40_1413_9)))
% 293.41/42.82 -> [19967] ~left_apart_point(A39_1413_9, L40_1413_9), ~left_apart_point(A39_1413_9, reverse_line(L40_1413_9))
% 293.41/42.82
% 293.41/42.82 [19967] CLOSURE : ~left_apart_point(A39_1413_9, L40_1413_9)
% 293.41/42.82
% 293.41/42.82 [18293] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_140_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_140_6)))
% 293.41/42.82 -> [18301] unequally_directed_lines(skolem_M7878, N34_140_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_140_6))
% 293.41/42.82
% 293.41/42.82 [18301] 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)))))
% 293.41/42.82 -> [18346] ((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))))
% 293.41/42.82
% 293.41/42.82 [18346] 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))))
% 293.41/42.82 -> [18350] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.41/42.82 -> [18351] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.41/42.82
% 293.41/42.82 [18350] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.41/42.82 -> [18373] ~line(reverse_line(skolem_N7979))
% 293.41/42.82 -> [18374] ~line(skolem_N7979)
% 293.41/42.82
% 293.41/42.82 [18373] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [18452] ((unequally_directed_lines(skolem_M7878, M38_641_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_641_8))) => (left_convergent_lines(skolem_M7878, M38_641_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_641_8))))
% 293.41/42.82
% 293.41/42.82 [18452] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_641_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_641_8))) => (left_convergent_lines(skolem_M7878, M38_641_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_641_8))))
% 293.41/42.82 -> [18453] ~(unequally_directed_lines(skolem_M7878, M38_641_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_641_8)))
% 293.41/42.82 -> [18454] (left_convergent_lines(skolem_M7878, M38_641_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_641_8)))
% 293.41/42.82
% 293.41/42.82 [18453] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_641_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_641_8)))
% 293.41/42.82 -> [18487] ~unequally_directed_lines(skolem_M7878, M38_641_8)
% 293.41/42.82 -> [18488] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_641_8))
% 293.41/42.82
% 293.41/42.82 [18488] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_641_8))
% 293.41/42.82
% 293.41/42.82 [18487] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_641_8)
% 293.41/42.82
% 293.41/42.82 [18454] BETA_OR : (left_convergent_lines(skolem_M7878, M38_641_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_641_8)))
% 293.41/42.82 -> [18457] left_convergent_lines(skolem_M7878, M38_641_8)
% 293.41/42.82 -> [18458] left_convergent_lines(skolem_M7878, reverse_line(M38_641_8))
% 293.41/42.82
% 293.41/42.82 [18458] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [18638] ~(left_apart_point(A39_1244_9, L40_1244_9) | left_apart_point(A39_1244_9, reverse_line(L40_1244_9)))
% 293.41/42.82
% 293.41/42.82 [18638] ALPHA_NOT_OR : ~(left_apart_point(A39_1244_9, L40_1244_9) | left_apart_point(A39_1244_9, reverse_line(L40_1244_9)))
% 293.41/42.82 -> [18639] ~left_apart_point(A39_1244_9, L40_1244_9), ~left_apart_point(A39_1244_9, reverse_line(L40_1244_9))
% 293.41/42.82
% 293.41/42.82 [18639] CLOSURE : ~left_apart_point(A39_1244_9, L40_1244_9)
% 293.41/42.82
% 293.41/42.82 [18457] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [18675] ~(left_apart_point(A39_1249_9, L40_1249_9) | left_apart_point(A39_1249_9, reverse_line(L40_1249_9)))
% 293.41/42.82
% 293.41/42.82 [18675] ALPHA_NOT_OR : ~(left_apart_point(A39_1249_9, L40_1249_9) | left_apart_point(A39_1249_9, reverse_line(L40_1249_9)))
% 293.41/42.82 -> [18681] ~left_apart_point(A39_1249_9, L40_1249_9), ~left_apart_point(A39_1249_9, reverse_line(L40_1249_9))
% 293.41/42.82
% 293.41/42.82 [18681] CLOSURE : ~left_apart_point(A39_1249_9, L40_1249_9)
% 293.41/42.82
% 293.41/42.82 [18374] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [18428] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.82
% 293.41/42.82 [18428] 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))))
% 293.41/42.82 -> [18429] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [18430] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82
% 293.41/42.82 [18429] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [18463] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82 -> [18464] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [18464] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [18463] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82
% 293.41/42.82 [18430] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [18431] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82 -> [18432] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [18431] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [19052] ~(left_apart_point(A39_1289_9, L40_1289_9) | left_apart_point(A39_1289_9, reverse_line(L40_1289_9)))
% 293.41/42.82
% 293.41/42.82 [19052] ALPHA_NOT_OR : ~(left_apart_point(A39_1289_9, L40_1289_9) | left_apart_point(A39_1289_9, reverse_line(L40_1289_9)))
% 293.41/42.82 -> [19055] ~left_apart_point(A39_1289_9, L40_1289_9), ~left_apart_point(A39_1289_9, reverse_line(L40_1289_9))
% 293.41/42.82
% 293.41/42.82 [19055] CLOSURE : ~left_apart_point(A39_1289_9, L40_1289_9)
% 293.41/42.82
% 293.41/42.82 [18432] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [19024] ~(left_apart_point(A39_1286_9, L40_1286_9) | left_apart_point(A39_1286_9, reverse_line(L40_1286_9)))
% 293.41/42.82
% 293.41/42.82 [19024] ALPHA_NOT_OR : ~(left_apart_point(A39_1286_9, L40_1286_9) | left_apart_point(A39_1286_9, reverse_line(L40_1286_9)))
% 293.41/42.82 -> [19025] ~left_apart_point(A39_1286_9, L40_1286_9), ~left_apart_point(A39_1286_9, reverse_line(L40_1286_9))
% 293.41/42.82
% 293.41/42.82 [19025] CLOSURE : ~left_apart_point(A39_1286_9, L40_1286_9)
% 293.41/42.82
% 293.41/42.82 [18351] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.41/42.82 -> [18356] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 293.41/42.82 -> [18357] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [18357] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [18356] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [20665] ((unequally_directed_lines(skolem_M7878, M38_780_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_780_8))) => (left_convergent_lines(skolem_M7878, M38_780_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_780_8))))
% 293.41/42.82
% 293.41/42.82 [20665] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_780_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_780_8))) => (left_convergent_lines(skolem_M7878, M38_780_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_780_8))))
% 293.41/42.82 -> [20672] ~(unequally_directed_lines(skolem_M7878, M38_780_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_780_8)))
% 293.41/42.82 -> [20673] (left_convergent_lines(skolem_M7878, M38_780_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_780_8)))
% 293.41/42.82
% 293.41/42.82 [20672] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_780_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_780_8)))
% 293.41/42.82 -> [20720] ~unequally_directed_lines(skolem_M7878, M38_780_8)
% 293.41/42.82 -> [20721] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_780_8))
% 293.41/42.82
% 293.41/42.82 [20721] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_780_8))
% 293.41/42.82
% 293.41/42.82 [20720] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_780_8)
% 293.41/42.82
% 293.41/42.82 [20673] BETA_OR : (left_convergent_lines(skolem_M7878, M38_780_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_780_8)))
% 293.41/42.82 -> [20685] left_convergent_lines(skolem_M7878, M38_780_8)
% 293.41/42.82 -> [20686] left_convergent_lines(skolem_M7878, reverse_line(M38_780_8))
% 293.41/42.82
% 293.41/42.82 [20686] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [20852] ~(left_apart_point(A39_1524_9, L40_1524_9) | left_apart_point(A39_1524_9, reverse_line(L40_1524_9)))
% 293.41/42.82
% 293.41/42.82 [20852] ALPHA_NOT_OR : ~(left_apart_point(A39_1524_9, L40_1524_9) | left_apart_point(A39_1524_9, reverse_line(L40_1524_9)))
% 293.41/42.82 -> [20853] ~left_apart_point(A39_1524_9, L40_1524_9), ~left_apart_point(A39_1524_9, reverse_line(L40_1524_9))
% 293.41/42.82
% 293.41/42.82 [20853] CLOSURE : ~left_apart_point(A39_1524_9, L40_1524_9)
% 293.41/42.82
% 293.41/42.82 [20685] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [21043] ~(left_apart_point(A39_1532_9, L40_1532_9) | left_apart_point(A39_1532_9, reverse_line(L40_1532_9)))
% 293.41/42.82
% 293.41/42.82 [21043] ALPHA_NOT_OR : ~(left_apart_point(A39_1532_9, L40_1532_9) | left_apart_point(A39_1532_9, reverse_line(L40_1532_9)))
% 293.41/42.82 -> [21046] ~left_apart_point(A39_1532_9, L40_1532_9), ~left_apart_point(A39_1532_9, reverse_line(L40_1532_9))
% 293.41/42.82
% 293.41/42.82 [21046] CLOSURE : ~left_apart_point(A39_1532_9, L40_1532_9)
% 293.41/42.82
% 293.41/42.82 [1232] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.41/42.82 -> [1263] ~distinct_points(skolem_C8282, skolem_C8282)
% 293.41/42.82
% 293.41/42.82 [1263] 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))))
% 293.41/42.82 -> [1282] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.41/42.82
% 293.41/42.82 [1282] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.41/42.82 -> [1284] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.82 -> [1285] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.41/42.82
% 293.41/42.82 [1284] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.82
% 293.41/42.82 [1285] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.41/42.82 -> [3796] distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.82 -> [3797] distinct_points(skolem_C8282, skolem_C8282)
% 293.41/42.82
% 293.41/42.82 [3797] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 293.41/42.82
% 293.41/42.82 [3796] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.41/42.82 -> [6158] ~distinct_lines(N27_192_3, N27_192_3)
% 293.41/42.82
% 293.41/42.82 [6158] 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))))
% 293.41/42.82 -> [6207] (distinct_lines(N27_192_3, N27_192_3) => (distinct_lines(N27_192_3, N27_192_3) | distinct_lines(N27_192_3, N27_192_3)))
% 293.41/42.82
% 293.41/42.82 [6207] BETA_IMPLY : (distinct_lines(N27_192_3, N27_192_3) => (distinct_lines(N27_192_3, N27_192_3) | distinct_lines(N27_192_3, N27_192_3)))
% 293.41/42.82 -> [6211] ~distinct_lines(N27_192_3, N27_192_3)
% 293.41/42.82 -> [6212] (distinct_lines(N27_192_3, N27_192_3) | distinct_lines(N27_192_3, N27_192_3))
% 293.41/42.82
% 293.41/42.82 [6212] BETA_OR : (distinct_lines(N27_192_3, N27_192_3) | distinct_lines(N27_192_3, N27_192_3))
% 293.41/42.82 -> [6223] distinct_lines(N27_192_3, N27_192_3)
% 293.41/42.82 -> [6224] distinct_lines(N27_192_3, N27_192_3)
% 293.41/42.82
% 293.41/42.82 [6223] CLOSURE : distinct_lines(N27_192_3, N27_192_3)
% 293.41/42.82
% 293.41/42.82 [6224] CLOSURE : distinct_lines(N27_192_3, N27_192_3)
% 293.41/42.82
% 293.41/42.82 [6211] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.41/42.82 -> [6317] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [6317] 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))))
% 293.41/42.82 -> [6386] (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))))
% 293.41/42.82
% 293.41/42.82 [6386] 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))))
% 293.41/42.82 -> [6388] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82 -> [6389] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.41/42.82
% 293.41/42.82 [6388] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [6389] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.41/42.82 -> [7920] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82 -> [7921] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [7921] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [7920] 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))))))
% 293.41/42.82 -> [12162] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_171_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_171_6))) | (unequally_directed_lines(skolem_N7979, N34_171_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_171_6)))))
% 293.41/42.82
% 293.41/42.82 [12162] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_171_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_171_6))) | (unequally_directed_lines(skolem_N7979, N34_171_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_171_6)))))
% 293.41/42.82 -> [12166] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [12167] ((unequally_directed_lines(skolem_M7878, N34_171_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_171_6))) | (unequally_directed_lines(skolem_N7979, N34_171_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_171_6))))
% 293.41/42.82
% 293.41/42.82 [12166] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [12262] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82 -> [12263] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [12263] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [12262] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82
% 293.41/42.82 [12167] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_171_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_171_6))) | (unequally_directed_lines(skolem_N7979, N34_171_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_171_6))))
% 293.41/42.82 -> [17405] (unequally_directed_lines(skolem_M7878, N34_171_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_171_6)))
% 293.41/42.82 -> [17406] (unequally_directed_lines(skolem_N7979, N34_171_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_171_6)))
% 293.41/42.82
% 293.41/42.82 [17406] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_171_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_171_6)))
% 293.41/42.82 -> [17412] unequally_directed_lines(skolem_N7979, N34_171_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_171_6))
% 293.41/42.82
% 293.41/42.82 [17412] 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)))))
% 293.41/42.82 -> [20577] ((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))))
% 293.41/42.82
% 293.41/42.82 [20577] 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))))
% 293.41/42.82 -> [20582] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.41/42.82 -> [20583] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.41/42.82
% 293.41/42.82 [20583] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.41/42.82 -> [20584] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 293.41/42.82 -> [20585] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [20585] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [20584] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [23619] ((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))))
% 293.41/42.82
% 293.41/42.82 [23619] 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))))
% 293.41/42.82 -> [23624] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [23625] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82
% 293.41/42.82 [23624] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [23645] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82 -> [23646] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [23646] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [23645] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82
% 293.41/42.82 [23625] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [23632] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82 -> [23633] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [23632] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [23682] ~(left_apart_point(A39_1910_9, L40_1910_9) | left_apart_point(A39_1910_9, reverse_line(L40_1910_9)))
% 293.41/42.82
% 293.41/42.82 [23682] ALPHA_NOT_OR : ~(left_apart_point(A39_1910_9, L40_1910_9) | left_apart_point(A39_1910_9, reverse_line(L40_1910_9)))
% 293.41/42.82 -> [23685] ~left_apart_point(A39_1910_9, L40_1910_9), ~left_apart_point(A39_1910_9, reverse_line(L40_1910_9))
% 293.41/42.82
% 293.41/42.82 [23685] CLOSURE : ~left_apart_point(A39_1910_9, L40_1910_9)
% 293.41/42.82
% 293.41/42.82 [23633] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [23811] ~(left_apart_point(A39_1927_9, L40_1927_9) | left_apart_point(A39_1927_9, reverse_line(L40_1927_9)))
% 293.41/42.82
% 293.41/42.82 [23811] ALPHA_NOT_OR : ~(left_apart_point(A39_1927_9, L40_1927_9) | left_apart_point(A39_1927_9, reverse_line(L40_1927_9)))
% 293.41/42.82 -> [23817] ~left_apart_point(A39_1927_9, L40_1927_9), ~left_apart_point(A39_1927_9, reverse_line(L40_1927_9))
% 293.41/42.82
% 293.41/42.82 [23817] CLOSURE : ~left_apart_point(A39_1927_9, L40_1927_9)
% 293.41/42.82
% 293.41/42.82 [20582] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.41/42.82 -> [22389] ~line(reverse_line(skolem_N7979))
% 293.41/42.82 -> [22390] ~line(skolem_N7979)
% 293.41/42.82
% 293.41/42.82 [22390] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [22443] ((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))))
% 293.41/42.82
% 293.41/42.82 [22443] 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))))
% 293.41/42.82 -> [22445] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [22446] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82
% 293.41/42.82 [22445] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [22474] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82 -> [22475] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [22474] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82
% 293.41/42.82 [22475] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [22446] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [22451] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82 -> [22452] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [22451] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [23042] ~(left_apart_point(A39_1814_9, L40_1814_9) | left_apart_point(A39_1814_9, reverse_line(L40_1814_9)))
% 293.41/42.82
% 293.41/42.82 [23042] ALPHA_NOT_OR : ~(left_apart_point(A39_1814_9, L40_1814_9) | left_apart_point(A39_1814_9, reverse_line(L40_1814_9)))
% 293.41/42.82 -> [23043] ~left_apart_point(A39_1814_9, L40_1814_9), ~left_apart_point(A39_1814_9, reverse_line(L40_1814_9))
% 293.41/42.82
% 293.41/42.82 [23043] CLOSURE : ~left_apart_point(A39_1814_9, L40_1814_9)
% 293.41/42.82
% 293.41/42.82 [22452] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [23145] ~(left_apart_point(A39_1826_9, L40_1826_9) | left_apart_point(A39_1826_9, reverse_line(L40_1826_9)))
% 293.41/42.82
% 293.41/42.82 [23145] ALPHA_NOT_OR : ~(left_apart_point(A39_1826_9, L40_1826_9) | left_apart_point(A39_1826_9, reverse_line(L40_1826_9)))
% 293.41/42.82 -> [23148] ~left_apart_point(A39_1826_9, L40_1826_9), ~left_apart_point(A39_1826_9, reverse_line(L40_1826_9))
% 293.41/42.82
% 293.41/42.82 [23148] CLOSURE : ~left_apart_point(A39_1826_9, L40_1826_9)
% 293.41/42.82
% 293.41/42.82 [22389] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [22465] ((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))))
% 293.41/42.82
% 293.41/42.82 [22465] 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))))
% 293.41/42.82 -> [22466] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [22467] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82
% 293.41/42.82 [22467] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [22469] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82 -> [22470] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [22469] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [22877] ~(left_apart_point(A39_1791_9, L40_1791_9) | left_apart_point(A39_1791_9, reverse_line(L40_1791_9)))
% 293.41/42.82
% 293.41/42.82 [22877] ALPHA_NOT_OR : ~(left_apart_point(A39_1791_9, L40_1791_9) | left_apart_point(A39_1791_9, reverse_line(L40_1791_9)))
% 293.41/42.82 -> [22880] ~left_apart_point(A39_1791_9, L40_1791_9), ~left_apart_point(A39_1791_9, reverse_line(L40_1791_9))
% 293.41/42.82
% 293.41/42.82 [22880] CLOSURE : ~left_apart_point(A39_1791_9, L40_1791_9)
% 293.41/42.82
% 293.41/42.82 [22470] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [22923] ~(left_apart_point(A39_1798_9, L40_1798_9) | left_apart_point(A39_1798_9, reverse_line(L40_1798_9)))
% 293.41/42.82
% 293.41/42.82 [22923] ALPHA_NOT_OR : ~(left_apart_point(A39_1798_9, L40_1798_9) | left_apart_point(A39_1798_9, reverse_line(L40_1798_9)))
% 293.41/42.82 -> [22924] ~left_apart_point(A39_1798_9, L40_1798_9), ~left_apart_point(A39_1798_9, reverse_line(L40_1798_9))
% 293.41/42.82
% 293.41/42.82 [22924] CLOSURE : ~left_apart_point(A39_1798_9, L40_1798_9)
% 293.41/42.82
% 293.41/42.82 [22466] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [22497] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82 -> [22498] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [22498] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [22497] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82
% 293.41/42.82 [17405] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_171_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_171_6)))
% 293.41/42.82 -> [17538] unequally_directed_lines(skolem_M7878, N34_171_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_171_6))
% 293.41/42.82
% 293.41/42.82 [17538] 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)))))
% 293.41/42.82 -> [20604] ((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))))
% 293.41/42.82
% 293.41/42.82 [20604] 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))))
% 293.41/42.82 -> [20608] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.41/42.82 -> [20609] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.41/42.82
% 293.41/42.82 [20608] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.41/42.82 -> [20648] ~line(reverse_line(skolem_N7979))
% 293.41/42.82 -> [20649] ~line(skolem_N7979)
% 293.41/42.82
% 293.41/42.82 [20648] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [20866] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.82
% 293.41/42.82 [20866] 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))))
% 293.41/42.82 -> [20871] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [20872] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82
% 293.41/42.82 [20872] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [20878] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82 -> [20879] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [20879] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [21192] ~(left_apart_point(A39_1551_9, L40_1551_9) | left_apart_point(A39_1551_9, reverse_line(L40_1551_9)))
% 293.41/42.82
% 293.41/42.82 [21192] ALPHA_NOT_OR : ~(left_apart_point(A39_1551_9, L40_1551_9) | left_apart_point(A39_1551_9, reverse_line(L40_1551_9)))
% 293.41/42.82 -> [21195] ~left_apart_point(A39_1551_9, L40_1551_9), ~left_apart_point(A39_1551_9, reverse_line(L40_1551_9))
% 293.41/42.82
% 293.41/42.82 [21195] CLOSURE : ~left_apart_point(A39_1551_9, L40_1551_9)
% 293.41/42.82
% 293.41/42.82 [20878] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [21254] ~(left_apart_point(A39_1555_9, L40_1555_9) | left_apart_point(A39_1555_9, reverse_line(L40_1555_9)))
% 293.41/42.82
% 293.41/42.82 [21254] ALPHA_NOT_OR : ~(left_apart_point(A39_1555_9, L40_1555_9) | left_apart_point(A39_1555_9, reverse_line(L40_1555_9)))
% 293.41/42.82 -> [21259] ~left_apart_point(A39_1555_9, L40_1555_9), ~left_apart_point(A39_1555_9, reverse_line(L40_1555_9))
% 293.41/42.82
% 293.41/42.82 [21259] CLOSURE : ~left_apart_point(A39_1555_9, L40_1555_9)
% 293.41/42.82
% 293.41/42.82 [20871] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [20977] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82 -> [20978] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [20978] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [20977] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82
% 293.41/42.82 [20649] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [20797] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.82
% 293.41/42.82 [20797] 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))))
% 293.41/42.82 -> [20798] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [20799] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82
% 293.41/42.82 [20798] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [20888] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82 -> [20889] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [20889] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [20888] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82
% 293.41/42.82 [20799] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [20802] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82 -> [20803] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [20803] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [21122] ~(left_apart_point(A39_1542_9, L40_1542_9) | left_apart_point(A39_1542_9, reverse_line(L40_1542_9)))
% 293.41/42.82
% 293.41/42.82 [21122] ALPHA_NOT_OR : ~(left_apart_point(A39_1542_9, L40_1542_9) | left_apart_point(A39_1542_9, reverse_line(L40_1542_9)))
% 293.41/42.82 -> [21123] ~left_apart_point(A39_1542_9, L40_1542_9), ~left_apart_point(A39_1542_9, reverse_line(L40_1542_9))
% 293.41/42.82
% 293.41/42.82 [21123] CLOSURE : ~left_apart_point(A39_1542_9, L40_1542_9)
% 293.41/42.82
% 293.41/42.82 [20802] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [21376] ~(left_apart_point(A39_1571_9, L40_1571_9) | left_apart_point(A39_1571_9, reverse_line(L40_1571_9)))
% 293.41/42.82
% 293.41/42.82 [21376] ALPHA_NOT_OR : ~(left_apart_point(A39_1571_9, L40_1571_9) | left_apart_point(A39_1571_9, reverse_line(L40_1571_9)))
% 293.41/42.82 -> [21378] ~left_apart_point(A39_1571_9, L40_1571_9), ~left_apart_point(A39_1571_9, reverse_line(L40_1571_9))
% 293.41/42.82
% 293.41/42.82 [21378] CLOSURE : ~left_apart_point(A39_1571_9, L40_1571_9)
% 293.41/42.82
% 293.41/42.82 [20609] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.41/42.82 -> [20615] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 293.41/42.82 -> [20616] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [20616] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [20615] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [24665] ((unequally_directed_lines(skolem_M7878, M38_1053_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1053_8))) => (left_convergent_lines(skolem_M7878, M38_1053_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1053_8))))
% 293.41/42.82
% 293.41/42.82 [24665] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_1053_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1053_8))) => (left_convergent_lines(skolem_M7878, M38_1053_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1053_8))))
% 293.41/42.82 -> [24666] ~(unequally_directed_lines(skolem_M7878, M38_1053_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1053_8)))
% 293.41/42.82 -> [24667] (left_convergent_lines(skolem_M7878, M38_1053_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1053_8)))
% 293.41/42.82
% 293.41/42.82 [24666] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_1053_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1053_8)))
% 293.41/42.82 -> [24698] ~unequally_directed_lines(skolem_M7878, M38_1053_8)
% 293.41/42.82 -> [24699] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_1053_8))
% 293.41/42.82
% 293.41/42.82 [24699] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_1053_8))
% 293.41/42.82
% 293.41/42.82 [24698] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_1053_8)
% 293.41/42.82
% 293.41/42.82 [24667] BETA_OR : (left_convergent_lines(skolem_M7878, M38_1053_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1053_8)))
% 293.41/42.82 -> [24672] left_convergent_lines(skolem_M7878, M38_1053_8)
% 293.41/42.82 -> [24673] left_convergent_lines(skolem_M7878, reverse_line(M38_1053_8))
% 293.41/42.82
% 293.41/42.82 [24673] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [24748] ~(left_apart_point(A39_2075_9, L40_2075_9) | left_apart_point(A39_2075_9, reverse_line(L40_2075_9)))
% 293.41/42.82
% 293.41/42.82 [24748] ALPHA_NOT_OR : ~(left_apart_point(A39_2075_9, L40_2075_9) | left_apart_point(A39_2075_9, reverse_line(L40_2075_9)))
% 293.41/42.82 -> [24749] ~left_apart_point(A39_2075_9, L40_2075_9), ~left_apart_point(A39_2075_9, reverse_line(L40_2075_9))
% 293.41/42.82
% 293.41/42.82 [24749] CLOSURE : ~left_apart_point(A39_2075_9, L40_2075_9)
% 293.41/42.82
% 293.41/42.82 [24672] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [24768] ~(left_apart_point(A39_2081_9, L40_2081_9) | left_apart_point(A39_2081_9, reverse_line(L40_2081_9)))
% 293.41/42.82
% 293.41/42.82 [24768] ALPHA_NOT_OR : ~(left_apart_point(A39_2081_9, L40_2081_9) | left_apart_point(A39_2081_9, reverse_line(L40_2081_9)))
% 293.41/42.82 -> [24773] ~left_apart_point(A39_2081_9, L40_2081_9), ~left_apart_point(A39_2081_9, reverse_line(L40_2081_9))
% 293.41/42.82
% 293.41/42.82 [24773] CLOSURE : ~left_apart_point(A39_2081_9, L40_2081_9)
% 293.41/42.82
% 293.41/42.82 [196] 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)))
% 293.41/42.82 -> [565] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 293.41/42.82 -> [566] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [566] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.41/42.82 -> [864] ~distinct_points(skolem_C8282, skolem_C8282)
% 293.41/42.82
% 293.41/42.82 [864] 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))))
% 293.41/42.82 -> [910] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.41/42.82
% 293.41/42.82 [910] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.41/42.82 -> [911] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.82 -> [912] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.41/42.82
% 293.41/42.82 [911] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.82
% 293.41/42.82 [912] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.41/42.82 -> [2188] distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.82 -> [2189] distinct_points(skolem_C8282, skolem_C8282)
% 293.41/42.82
% 293.41/42.82 [2189] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 293.41/42.82
% 293.41/42.82 [2188] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.41/42.82 -> [4104] ~distinct_lines(N27_94_3, N27_94_3)
% 293.41/42.82
% 293.41/42.82 [4104] 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))))
% 293.41/42.82 -> [4217] (distinct_lines(N27_94_3, N27_94_3) => (distinct_lines(N27_94_3, N27_94_3) | distinct_lines(N27_94_3, N27_94_3)))
% 293.41/42.82
% 293.41/42.82 [4217] 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)))
% 293.41/42.82 -> [4218] ~distinct_lines(N27_94_3, N27_94_3)
% 293.41/42.82 -> [4219] (distinct_lines(N27_94_3, N27_94_3) | distinct_lines(N27_94_3, N27_94_3))
% 293.41/42.82
% 293.41/42.82 [4219] BETA_OR : (distinct_lines(N27_94_3, N27_94_3) | distinct_lines(N27_94_3, N27_94_3))
% 293.41/42.82 -> [4222] distinct_lines(N27_94_3, N27_94_3)
% 293.41/42.82 -> [4223] distinct_lines(N27_94_3, N27_94_3)
% 293.41/42.82
% 293.41/42.82 [4222] CLOSURE : distinct_lines(N27_94_3, N27_94_3)
% 293.41/42.82
% 293.41/42.82 [4223] CLOSURE : distinct_lines(N27_94_3, N27_94_3)
% 293.41/42.82
% 293.41/42.82 [4218] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.41/42.82 -> [5084] ~unequally_directed_lines(skolem_L7777, skolem_L7777)
% 293.41/42.82
% 293.41/42.82 [5084] 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))))
% 293.41/42.82 -> [5582] (unequally_directed_lines(skolem_L7777, skolem_M7878) => (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_M7878, skolem_L7777)))
% 293.41/42.82
% 293.41/42.82 [5582] BETA_IMPLY : (unequally_directed_lines(skolem_L7777, skolem_M7878) => (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_M7878, skolem_L7777)))
% 293.41/42.82 -> [5585] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82 -> [5586] (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_M7878, skolem_L7777))
% 293.41/42.82
% 293.41/42.82 [5585] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82
% 293.41/42.82 [5586] BETA_OR : (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_M7878, skolem_L7777))
% 293.41/42.82 -> [7970] unequally_directed_lines(skolem_L7777, skolem_L7777)
% 293.41/42.82 -> [7971] unequally_directed_lines(skolem_M7878, skolem_L7777)
% 293.41/42.82
% 293.41/42.82 [7970] CLOSURE : unequally_directed_lines(skolem_L7777, skolem_L7777)
% 293.41/42.82
% 293.41/42.82 [7971] 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))))))
% 293.41/42.82 -> [12205] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_174_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_174_6))) | (unequally_directed_lines(skolem_N7979, N34_174_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_174_6)))))
% 293.41/42.82
% 293.41/42.82 [12205] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_174_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_174_6))) | (unequally_directed_lines(skolem_N7979, N34_174_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_174_6)))))
% 293.41/42.82 -> [12209] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [12210] ((unequally_directed_lines(skolem_M7878, N34_174_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_174_6))) | (unequally_directed_lines(skolem_N7979, N34_174_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_174_6))))
% 293.41/42.82
% 293.41/42.82 [12209] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [12308] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82 -> [12309] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [12309] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [12308] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82
% 293.41/42.82 [12210] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_174_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_174_6))) | (unequally_directed_lines(skolem_N7979, N34_174_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_174_6))))
% 293.41/42.82 -> [18383] (unequally_directed_lines(skolem_M7878, N34_174_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_174_6)))
% 293.41/42.82 -> [18384] (unequally_directed_lines(skolem_N7979, N34_174_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_174_6)))
% 293.41/42.82
% 293.41/42.82 [18384] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_174_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_174_6)))
% 293.41/42.82 -> [18387] unequally_directed_lines(skolem_N7979, N34_174_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_174_6))
% 293.41/42.82
% 293.41/42.82 [18387] 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)))))
% 293.41/42.82 -> [19425] ((line(skolem_L7777) & line(skolem_L7777)) => (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777))))
% 293.41/42.82
% 293.41/42.82 [19425] BETA_IMPLY : ((line(skolem_L7777) & line(skolem_L7777)) => (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777))))
% 293.41/42.82 -> [19429] ~(line(skolem_L7777) & line(skolem_L7777))
% 293.41/42.82 -> [19430] (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777)))
% 293.41/42.82
% 293.41/42.82 [19430] BETA_OR : (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777)))
% 293.41/42.82 -> [19433] unequally_directed_lines(skolem_L7777, skolem_L7777)
% 293.41/42.82 -> [19434] unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777))
% 293.41/42.82
% 293.41/42.82 [19433] CLOSURE : unequally_directed_lines(skolem_L7777, skolem_L7777)
% 293.41/42.82
% 293.41/42.82 [19434] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [20232] ((unequally_directed_lines(skolem_N7979, M38_760_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_760_8))) => (left_convergent_lines(skolem_N7979, M38_760_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_760_8))))
% 293.41/42.82
% 293.41/42.82 [20232] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_760_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_760_8))) => (left_convergent_lines(skolem_N7979, M38_760_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_760_8))))
% 293.41/42.82 -> [20233] ~(unequally_directed_lines(skolem_N7979, M38_760_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_760_8)))
% 293.41/42.82 -> [20234] (left_convergent_lines(skolem_N7979, M38_760_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_760_8)))
% 293.41/42.82
% 293.41/42.82 [20234] BETA_OR : (left_convergent_lines(skolem_N7979, M38_760_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_760_8)))
% 293.41/42.82 -> [20237] left_convergent_lines(skolem_N7979, M38_760_8)
% 293.41/42.82 -> [20238] left_convergent_lines(skolem_N7979, reverse_line(M38_760_8))
% 293.41/42.82
% 293.41/42.82 [20238] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [20343] ~(left_apart_point(A39_1468_9, L40_1468_9) | left_apart_point(A39_1468_9, reverse_line(L40_1468_9)))
% 293.41/42.82
% 293.41/42.82 [20343] ALPHA_NOT_OR : ~(left_apart_point(A39_1468_9, L40_1468_9) | left_apart_point(A39_1468_9, reverse_line(L40_1468_9)))
% 293.41/42.82 -> [20348] ~left_apart_point(A39_1468_9, L40_1468_9), ~left_apart_point(A39_1468_9, reverse_line(L40_1468_9))
% 293.41/42.82
% 293.41/42.82 [20348] CLOSURE : ~left_apart_point(A39_1468_9, L40_1468_9)
% 293.41/42.82
% 293.41/42.82 [20237] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [20378] ~(left_apart_point(A39_1476_9, L40_1476_9) | left_apart_point(A39_1476_9, reverse_line(L40_1476_9)))
% 293.41/42.82
% 293.41/42.82 [20378] ALPHA_NOT_OR : ~(left_apart_point(A39_1476_9, L40_1476_9) | left_apart_point(A39_1476_9, reverse_line(L40_1476_9)))
% 293.41/42.82 -> [20381] ~left_apart_point(A39_1476_9, L40_1476_9), ~left_apart_point(A39_1476_9, reverse_line(L40_1476_9))
% 293.41/42.82
% 293.41/42.82 [20381] CLOSURE : ~left_apart_point(A39_1476_9, L40_1476_9)
% 293.41/42.82
% 293.41/42.82 [20233] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_760_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_760_8)))
% 293.41/42.82 -> [20264] ~unequally_directed_lines(skolem_N7979, M38_760_8)
% 293.41/42.82 -> [20265] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_760_8))
% 293.41/42.82
% 293.41/42.82 [20265] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_760_8))
% 293.41/42.82
% 293.41/42.82 [20264] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_760_8)
% 293.41/42.82
% 293.41/42.82 [19429] BETA_NOT_AND : ~(line(skolem_L7777) & line(skolem_L7777))
% 293.41/42.82 -> [19467] ~line(skolem_L7777)
% 293.41/42.82 -> [19468] ~line(skolem_L7777)
% 293.41/42.82
% 293.41/42.82 [19468] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [19726] ((unequally_directed_lines(skolem_N7979, M38_725_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_725_8))) => (left_convergent_lines(skolem_N7979, M38_725_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_725_8))))
% 293.41/42.82
% 293.41/42.82 [19726] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_725_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_725_8))) => (left_convergent_lines(skolem_N7979, M38_725_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_725_8))))
% 293.41/42.82 -> [19728] ~(unequally_directed_lines(skolem_N7979, M38_725_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_725_8)))
% 293.41/42.82 -> [19729] (left_convergent_lines(skolem_N7979, M38_725_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_725_8)))
% 293.41/42.82
% 293.41/42.82 [19729] BETA_OR : (left_convergent_lines(skolem_N7979, M38_725_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_725_8)))
% 293.41/42.82 -> [19733] left_convergent_lines(skolem_N7979, M38_725_8)
% 293.41/42.82 -> [19734] left_convergent_lines(skolem_N7979, reverse_line(M38_725_8))
% 293.41/42.82
% 293.41/42.82 [19733] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [20272] ~(left_apart_point(A39_1450_9, L40_1450_9) | left_apart_point(A39_1450_9, reverse_line(L40_1450_9)))
% 293.41/42.82
% 293.41/42.82 [20272] ALPHA_NOT_OR : ~(left_apart_point(A39_1450_9, L40_1450_9) | left_apart_point(A39_1450_9, reverse_line(L40_1450_9)))
% 293.41/42.82 -> [20273] ~left_apart_point(A39_1450_9, L40_1450_9), ~left_apart_point(A39_1450_9, reverse_line(L40_1450_9))
% 293.41/42.82
% 293.41/42.82 [20273] CLOSURE : ~left_apart_point(A39_1450_9, L40_1450_9)
% 293.41/42.82
% 293.41/42.82 [19734] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [20312] ~(left_apart_point(A39_1459_9, L40_1459_9) | left_apart_point(A39_1459_9, reverse_line(L40_1459_9)))
% 293.41/42.82
% 293.41/42.82 [20312] ALPHA_NOT_OR : ~(left_apart_point(A39_1459_9, L40_1459_9) | left_apart_point(A39_1459_9, reverse_line(L40_1459_9)))
% 293.41/42.82 -> [20313] ~left_apart_point(A39_1459_9, L40_1459_9), ~left_apart_point(A39_1459_9, reverse_line(L40_1459_9))
% 293.41/42.82
% 293.41/42.82 [20313] CLOSURE : ~left_apart_point(A39_1459_9, L40_1459_9)
% 293.41/42.82
% 293.41/42.82 [19728] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_725_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_725_8)))
% 293.41/42.82 -> [20163] ~unequally_directed_lines(skolem_N7979, M38_725_8)
% 293.41/42.82 -> [20164] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_725_8))
% 293.41/42.82
% 293.41/42.82 [20164] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_725_8))
% 293.41/42.82
% 293.41/42.82 [20163] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_725_8)
% 293.41/42.82
% 293.41/42.82 [19467] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [20137] ((unequally_directed_lines(skolem_N7979, M38_750_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_750_8))) => (left_convergent_lines(skolem_N7979, M38_750_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_750_8))))
% 293.41/42.82
% 293.41/42.82 [20137] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_750_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_750_8))) => (left_convergent_lines(skolem_N7979, M38_750_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_750_8))))
% 293.41/42.82 -> [20138] ~(unequally_directed_lines(skolem_N7979, M38_750_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_750_8)))
% 293.41/42.82 -> [20139] (left_convergent_lines(skolem_N7979, M38_750_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_750_8)))
% 293.41/42.82
% 293.41/42.82 [20139] BETA_OR : (left_convergent_lines(skolem_N7979, M38_750_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_750_8)))
% 293.41/42.82 -> [20147] left_convergent_lines(skolem_N7979, M38_750_8)
% 293.41/42.82 -> [20148] left_convergent_lines(skolem_N7979, reverse_line(M38_750_8))
% 293.41/42.82
% 293.41/42.82 [20148] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [20324] ~(left_apart_point(A39_1463_9, L40_1463_9) | left_apart_point(A39_1463_9, reverse_line(L40_1463_9)))
% 293.41/42.82
% 293.41/42.82 [20324] ALPHA_NOT_OR : ~(left_apart_point(A39_1463_9, L40_1463_9) | left_apart_point(A39_1463_9, reverse_line(L40_1463_9)))
% 293.41/42.82 -> [20325] ~left_apart_point(A39_1463_9, L40_1463_9), ~left_apart_point(A39_1463_9, reverse_line(L40_1463_9))
% 293.41/42.82
% 293.41/42.82 [20325] CLOSURE : ~left_apart_point(A39_1463_9, L40_1463_9)
% 293.41/42.82
% 293.41/42.82 [20147] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [20404] ~(left_apart_point(A39_1480_9, L40_1480_9) | left_apart_point(A39_1480_9, reverse_line(L40_1480_9)))
% 293.41/42.82
% 293.41/42.82 [20404] ALPHA_NOT_OR : ~(left_apart_point(A39_1480_9, L40_1480_9) | left_apart_point(A39_1480_9, reverse_line(L40_1480_9)))
% 293.41/42.82 -> [20405] ~left_apart_point(A39_1480_9, L40_1480_9), ~left_apart_point(A39_1480_9, reverse_line(L40_1480_9))
% 293.41/42.82
% 293.41/42.82 [20405] CLOSURE : ~left_apart_point(A39_1480_9, L40_1480_9)
% 293.41/42.82
% 293.41/42.82 [20138] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_750_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_750_8)))
% 293.41/42.82 -> [20201] ~unequally_directed_lines(skolem_N7979, M38_750_8)
% 293.41/42.82 -> [20202] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_750_8))
% 293.41/42.82
% 293.41/42.82 [20201] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_750_8)
% 293.41/42.82
% 293.41/42.82 [20202] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_750_8))
% 293.41/42.82
% 293.41/42.82 [18383] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_174_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_174_6)))
% 293.41/42.82 -> [18425] unequally_directed_lines(skolem_M7878, N34_174_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_174_6))
% 293.41/42.82
% 293.41/42.82 [18425] 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)))))
% 293.41/42.82 -> [19005] ((line(skolem_L7777) & line(skolem_L7777)) => (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777))))
% 293.41/42.82
% 293.41/42.82 [19005] BETA_IMPLY : ((line(skolem_L7777) & line(skolem_L7777)) => (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777))))
% 293.41/42.82 -> [19011] ~(line(skolem_L7777) & line(skolem_L7777))
% 293.41/42.82 -> [19012] (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777)))
% 293.41/42.82
% 293.41/42.82 [19012] BETA_OR : (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777)))
% 293.41/42.82 -> [19016] unequally_directed_lines(skolem_L7777, skolem_L7777)
% 293.41/42.82 -> [19017] unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777))
% 293.41/42.82
% 293.41/42.82 [19016] CLOSURE : unequally_directed_lines(skolem_L7777, skolem_L7777)
% 293.41/42.82
% 293.41/42.82 [19017] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [20033] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.82
% 293.41/42.82 [20033] 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))))
% 293.41/42.82 -> [20037] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [20038] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82
% 293.41/42.82 [20038] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [20041] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82 -> [20042] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [20042] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [20120] ~(left_apart_point(A39_1439_9, L40_1439_9) | left_apart_point(A39_1439_9, reverse_line(L40_1439_9)))
% 293.41/42.82
% 293.41/42.82 [20120] ALPHA_NOT_OR : ~(left_apart_point(A39_1439_9, L40_1439_9) | left_apart_point(A39_1439_9, reverse_line(L40_1439_9)))
% 293.41/42.82 -> [20121] ~left_apart_point(A39_1439_9, L40_1439_9), ~left_apart_point(A39_1439_9, reverse_line(L40_1439_9))
% 293.41/42.82
% 293.41/42.82 [20121] CLOSURE : ~left_apart_point(A39_1439_9, L40_1439_9)
% 293.41/42.82
% 293.41/42.82 [20041] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [20169] ~(left_apart_point(A39_1441_9, L40_1441_9) | left_apart_point(A39_1441_9, reverse_line(L40_1441_9)))
% 293.41/42.82
% 293.41/42.82 [20169] ALPHA_NOT_OR : ~(left_apart_point(A39_1441_9, L40_1441_9) | left_apart_point(A39_1441_9, reverse_line(L40_1441_9)))
% 293.41/42.82 -> [20172] ~left_apart_point(A39_1441_9, L40_1441_9), ~left_apart_point(A39_1441_9, reverse_line(L40_1441_9))
% 293.41/42.82
% 293.41/42.82 [20172] CLOSURE : ~left_apart_point(A39_1441_9, L40_1441_9)
% 293.41/42.82
% 293.41/42.82 [20037] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [20052] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82 -> [20053] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [20053] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [20052] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82
% 293.41/42.82 [19011] BETA_NOT_AND : ~(line(skolem_L7777) & line(skolem_L7777))
% 293.41/42.82 -> [19033] ~line(skolem_L7777)
% 293.41/42.82 -> [19034] ~line(skolem_L7777)
% 293.41/42.82
% 293.41/42.82 [19033] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [19510] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.82
% 293.41/42.82 [19510] 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))))
% 293.41/42.82 -> [19513] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [19514] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82
% 293.41/42.82 [19513] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [19599] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82 -> [19600] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [19600] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [19599] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82
% 293.41/42.82 [19514] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [19518] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82 -> [19519] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [19518] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [19770] ~(left_apart_point(A39_1383_9, L40_1383_9) | left_apart_point(A39_1383_9, reverse_line(L40_1383_9)))
% 293.41/42.82
% 293.41/42.82 [19770] ALPHA_NOT_OR : ~(left_apart_point(A39_1383_9, L40_1383_9) | left_apart_point(A39_1383_9, reverse_line(L40_1383_9)))
% 293.41/42.82 -> [19772] ~left_apart_point(A39_1383_9, L40_1383_9), ~left_apart_point(A39_1383_9, reverse_line(L40_1383_9))
% 293.41/42.82
% 293.41/42.82 [19772] CLOSURE : ~left_apart_point(A39_1383_9, L40_1383_9)
% 293.41/42.82
% 293.41/42.82 [19519] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [20490] ~(left_apart_point(A39_1491_9, L40_1491_9) | left_apart_point(A39_1491_9, reverse_line(L40_1491_9)))
% 293.41/42.82
% 293.41/42.82 [20490] ALPHA_NOT_OR : ~(left_apart_point(A39_1491_9, L40_1491_9) | left_apart_point(A39_1491_9, reverse_line(L40_1491_9)))
% 293.41/42.82 -> [20493] ~left_apart_point(A39_1491_9, L40_1491_9), ~left_apart_point(A39_1491_9, reverse_line(L40_1491_9))
% 293.41/42.82
% 293.41/42.82 [20493] CLOSURE : ~left_apart_point(A39_1491_9, L40_1491_9)
% 293.41/42.82
% 293.41/42.82 [19034] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [19500] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.82
% 293.41/42.82 [19500] 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))))
% 293.41/42.82 -> [19503] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [19504] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82
% 293.41/42.82 [19504] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [19508] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82 -> [19509] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [19509] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [20332] ~(left_apart_point(A39_1465_9, L40_1465_9) | left_apart_point(A39_1465_9, reverse_line(L40_1465_9)))
% 293.41/42.82
% 293.41/42.82 [20332] ALPHA_NOT_OR : ~(left_apart_point(A39_1465_9, L40_1465_9) | left_apart_point(A39_1465_9, reverse_line(L40_1465_9)))
% 293.41/42.82 -> [20335] ~left_apart_point(A39_1465_9, L40_1465_9), ~left_apart_point(A39_1465_9, reverse_line(L40_1465_9))
% 293.41/42.82
% 293.41/42.82 [20335] CLOSURE : ~left_apart_point(A39_1465_9, L40_1465_9)
% 293.41/42.82
% 293.41/42.82 [19508] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [20368] ~(left_apart_point(A39_1472_9, L40_1472_9) | left_apart_point(A39_1472_9, reverse_line(L40_1472_9)))
% 293.41/42.82
% 293.41/42.82 [20368] ALPHA_NOT_OR : ~(left_apart_point(A39_1472_9, L40_1472_9) | left_apart_point(A39_1472_9, reverse_line(L40_1472_9)))
% 293.41/42.82 -> [20369] ~left_apart_point(A39_1472_9, L40_1472_9), ~left_apart_point(A39_1472_9, reverse_line(L40_1472_9))
% 293.41/42.82
% 293.41/42.82 [20369] CLOSURE : ~left_apart_point(A39_1472_9, L40_1472_9)
% 293.41/42.82
% 293.41/42.82 [19503] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [19572] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82 -> [19573] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [19572] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82
% 293.41/42.82 [19573] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [565] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.41/42.82 -> [722] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.82
% 293.41/42.82 [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))))
% 293.41/42.82 -> [1684] (distinct_points(skolem_A8080, skolem_B8181) => (distinct_points(skolem_A8080, skolem_B8181) | distinct_points(skolem_B8181, skolem_B8181)))
% 293.41/42.82
% 293.41/42.82 [1684] BETA_IMPLY : (distinct_points(skolem_A8080, skolem_B8181) => (distinct_points(skolem_A8080, skolem_B8181) | distinct_points(skolem_B8181, skolem_B8181)))
% 293.41/42.82 -> [1685] ~distinct_points(skolem_A8080, skolem_B8181)
% 293.41/42.82 -> [1686] (distinct_points(skolem_A8080, skolem_B8181) | distinct_points(skolem_B8181, skolem_B8181))
% 293.41/42.82
% 293.41/42.82 [1685] CLOSURE : ~distinct_points(skolem_A8080, skolem_B8181)
% 293.41/42.82
% 293.41/42.82 [1686] BETA_OR : (distinct_points(skolem_A8080, skolem_B8181) | distinct_points(skolem_B8181, skolem_B8181))
% 293.41/42.82 -> [4255] distinct_points(skolem_A8080, skolem_B8181)
% 293.41/42.82 -> [4256] distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.82
% 293.41/42.82 [4256] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.82
% 293.41/42.82 [4255] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.41/42.82 -> [4347] ~distinct_lines(N27_104_3, N27_104_3)
% 293.41/42.82
% 293.41/42.82 [4347] 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))))
% 293.41/42.82 -> [4364] (distinct_lines(N27_104_3, N27_104_3) => (distinct_lines(N27_104_3, N27_104_3) | distinct_lines(N27_104_3, N27_104_3)))
% 293.41/42.82
% 293.41/42.82 [4364] 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)))
% 293.41/42.82 -> [4365] ~distinct_lines(N27_104_3, N27_104_3)
% 293.41/42.82 -> [4366] (distinct_lines(N27_104_3, N27_104_3) | distinct_lines(N27_104_3, N27_104_3))
% 293.41/42.82
% 293.41/42.82 [4366] BETA_OR : (distinct_lines(N27_104_3, N27_104_3) | distinct_lines(N27_104_3, N27_104_3))
% 293.41/42.82 -> [4370] distinct_lines(N27_104_3, N27_104_3)
% 293.41/42.82 -> [4371] distinct_lines(N27_104_3, N27_104_3)
% 293.41/42.82
% 293.41/42.82 [4370] CLOSURE : distinct_lines(N27_104_3, N27_104_3)
% 293.41/42.82
% 293.41/42.82 [4371] CLOSURE : distinct_lines(N27_104_3, N27_104_3)
% 293.41/42.82
% 293.41/42.82 [4365] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.41/42.82 -> [4398] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [4398] 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))))
% 293.41/42.82 -> [4425] (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))))
% 293.41/42.82
% 293.41/42.82 [4425] 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))))
% 293.41/42.82 -> [4428] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82 -> [4429] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.41/42.82
% 293.41/42.82 [4428] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [4429] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.41/42.82 -> [6347] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82 -> [6348] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [6348] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [6347] 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))))))
% 293.41/42.82 -> [7307] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_59_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_59_6))) | (unequally_directed_lines(skolem_N7979, N34_59_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_59_6)))))
% 293.41/42.82
% 293.41/42.82 [7307] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_59_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_59_6))) | (unequally_directed_lines(skolem_N7979, N34_59_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_59_6)))))
% 293.41/42.82 -> [7308] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [7309] ((unequally_directed_lines(skolem_M7878, N34_59_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_59_6))) | (unequally_directed_lines(skolem_N7979, N34_59_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_59_6))))
% 293.41/42.82
% 293.41/42.82 [7308] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [7330] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82 -> [7331] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [7331] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [7330] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82
% 293.41/42.82 [7309] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_59_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_59_6))) | (unequally_directed_lines(skolem_N7979, N34_59_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_59_6))))
% 293.41/42.82 -> [16867] (unequally_directed_lines(skolem_M7878, N34_59_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_59_6)))
% 293.41/42.82 -> [16868] (unequally_directed_lines(skolem_N7979, N34_59_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_59_6)))
% 293.41/42.82
% 293.41/42.82 [16867] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_59_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_59_6)))
% 293.41/42.82 -> [16999] unequally_directed_lines(skolem_M7878, N34_59_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_59_6))
% 293.41/42.82
% 293.41/42.82 [16999] 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)))))
% 293.41/42.82 -> [17794] ((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)))))
% 293.41/42.82
% 293.41/42.82 [17794] 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)))))
% 293.41/42.82 -> [17798] ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.41/42.82 -> [17799] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))
% 293.41/42.82
% 293.41/42.82 [17798] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.41/42.82 -> [17839] ~line(skolem_L7777)
% 293.41/42.82 -> [17840] ~line(line_connecting(skolem_A8080, skolem_B8181))
% 293.41/42.82
% 293.41/42.82 [17840] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [17909] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.82
% 293.41/42.82 [17909] 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))))
% 293.41/42.82 -> [17910] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [17911] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82
% 293.41/42.82 [17911] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [17912] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82 -> [17913] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [17912] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [18090] ~(left_apart_point(A39_1172_9, L40_1172_9) | left_apart_point(A39_1172_9, reverse_line(L40_1172_9)))
% 293.41/42.82
% 293.41/42.82 [18090] ALPHA_NOT_OR : ~(left_apart_point(A39_1172_9, L40_1172_9) | left_apart_point(A39_1172_9, reverse_line(L40_1172_9)))
% 293.41/42.82 -> [18091] ~left_apart_point(A39_1172_9, L40_1172_9), ~left_apart_point(A39_1172_9, reverse_line(L40_1172_9))
% 293.41/42.82
% 293.41/42.82 [18091] CLOSURE : ~left_apart_point(A39_1172_9, L40_1172_9)
% 293.41/42.82
% 293.41/42.82 [17913] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [18095] ~(left_apart_point(A39_1173_9, L40_1173_9) | left_apart_point(A39_1173_9, reverse_line(L40_1173_9)))
% 293.41/42.82
% 293.41/42.82 [18095] ALPHA_NOT_OR : ~(left_apart_point(A39_1173_9, L40_1173_9) | left_apart_point(A39_1173_9, reverse_line(L40_1173_9)))
% 293.41/42.82 -> [18096] ~left_apart_point(A39_1173_9, L40_1173_9), ~left_apart_point(A39_1173_9, reverse_line(L40_1173_9))
% 293.41/42.82
% 293.41/42.82 [18096] CLOSURE : ~left_apart_point(A39_1173_9, L40_1173_9)
% 293.41/42.82
% 293.41/42.82 [17910] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [17941] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82 -> [17942] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [17942] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [17941] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82
% 293.41/42.82 [17839] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [17923] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.82
% 293.41/42.82 [17923] 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))))
% 293.41/42.82 -> [17924] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [17925] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82
% 293.41/42.82 [17925] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [17929] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82 -> [17930] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [17930] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [18085] ~(left_apart_point(A39_1171_9, L40_1171_9) | left_apart_point(A39_1171_9, reverse_line(L40_1171_9)))
% 293.41/42.82
% 293.41/42.82 [18085] ALPHA_NOT_OR : ~(left_apart_point(A39_1171_9, L40_1171_9) | left_apart_point(A39_1171_9, reverse_line(L40_1171_9)))
% 293.41/42.82 -> [18086] ~left_apart_point(A39_1171_9, L40_1171_9), ~left_apart_point(A39_1171_9, reverse_line(L40_1171_9))
% 293.41/42.82
% 293.41/42.82 [18086] CLOSURE : ~left_apart_point(A39_1171_9, L40_1171_9)
% 293.41/42.82
% 293.41/42.82 [17929] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [18130] ~(left_apart_point(A39_1174_9, L40_1174_9) | left_apart_point(A39_1174_9, reverse_line(L40_1174_9)))
% 293.41/42.82
% 293.41/42.82 [18130] ALPHA_NOT_OR : ~(left_apart_point(A39_1174_9, L40_1174_9) | left_apart_point(A39_1174_9, reverse_line(L40_1174_9)))
% 293.41/42.82 -> [18131] ~left_apart_point(A39_1174_9, L40_1174_9), ~left_apart_point(A39_1174_9, reverse_line(L40_1174_9))
% 293.41/42.82
% 293.41/42.82 [18131] CLOSURE : ~left_apart_point(A39_1174_9, L40_1174_9)
% 293.41/42.82
% 293.41/42.82 [17924] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [17975] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82 -> [17976] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [17976] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [17975] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82
% 293.41/42.82 [17799] 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))))
% 293.41/42.82 -> [17804] unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.41/42.82 -> [17805] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.41/42.82
% 293.41/42.82 [17804] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.41/42.82
% 293.41/42.82 [17805] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [19828] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.82
% 293.41/42.82 [19828] 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))))
% 293.41/42.82 -> [19829] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [19830] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82
% 293.41/42.82 [19830] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [19834] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82 -> [19835] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [19835] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [19914] ~(left_apart_point(A39_1403_9, L40_1403_9) | left_apart_point(A39_1403_9, reverse_line(L40_1403_9)))
% 293.41/42.82
% 293.41/42.82 [19914] ALPHA_NOT_OR : ~(left_apart_point(A39_1403_9, L40_1403_9) | left_apart_point(A39_1403_9, reverse_line(L40_1403_9)))
% 293.41/42.82 -> [19916] ~left_apart_point(A39_1403_9, L40_1403_9), ~left_apart_point(A39_1403_9, reverse_line(L40_1403_9))
% 293.41/42.82
% 293.41/42.82 [19916] CLOSURE : ~left_apart_point(A39_1403_9, L40_1403_9)
% 293.41/42.82
% 293.41/42.82 [19834] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [19973] ~(left_apart_point(A39_1414_9, L40_1414_9) | left_apart_point(A39_1414_9, reverse_line(L40_1414_9)))
% 293.41/42.82
% 293.41/42.82 [19973] ALPHA_NOT_OR : ~(left_apart_point(A39_1414_9, L40_1414_9) | left_apart_point(A39_1414_9, reverse_line(L40_1414_9)))
% 293.41/42.82 -> [19975] ~left_apart_point(A39_1414_9, L40_1414_9), ~left_apart_point(A39_1414_9, reverse_line(L40_1414_9))
% 293.41/42.82
% 293.41/42.82 [19975] CLOSURE : ~left_apart_point(A39_1414_9, L40_1414_9)
% 293.41/42.82
% 293.41/42.82 [19829] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [19856] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82 -> [19857] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [19857] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [19856] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82
% 293.41/42.82 [16868] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_59_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_59_6)))
% 293.41/42.82 -> [16878] unequally_directed_lines(skolem_N7979, N34_59_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_59_6))
% 293.41/42.82
% 293.41/42.82 [16878] 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)))))
% 293.41/42.82 -> [17665] ((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)))))
% 293.41/42.82
% 293.41/42.82 [17665] 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)))))
% 293.41/42.82 -> [17670] ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.41/42.82 -> [17671] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 293.41/42.82
% 293.41/42.82 [17670] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.41/42.82 -> [17771] ~line(skolem_L7777)
% 293.41/42.82 -> [17772] ~line(line_connecting(skolem_B8181, skolem_C8282))
% 293.41/42.82
% 293.41/42.82 [17772] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [21814] ((unequally_directed_lines(skolem_N7979, M38_857_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_857_8))) => (left_convergent_lines(skolem_N7979, M38_857_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_857_8))))
% 293.41/42.82
% 293.41/42.82 [21814] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_857_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_857_8))) => (left_convergent_lines(skolem_N7979, M38_857_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_857_8))))
% 293.41/42.82 -> [21817] ~(unequally_directed_lines(skolem_N7979, M38_857_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_857_8)))
% 293.41/42.82 -> [21818] (left_convergent_lines(skolem_N7979, M38_857_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_857_8)))
% 293.41/42.82
% 293.41/42.82 [21817] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_857_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_857_8)))
% 293.41/42.82 -> [21867] ~unequally_directed_lines(skolem_N7979, M38_857_8)
% 293.41/42.82 -> [21868] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_857_8))
% 293.41/42.82
% 293.41/42.82 [21868] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_857_8))
% 293.41/42.82
% 293.41/42.82 [21867] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_857_8)
% 293.41/42.82
% 293.41/42.82 [21818] BETA_OR : (left_convergent_lines(skolem_N7979, M38_857_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_857_8)))
% 293.41/42.82 -> [21820] left_convergent_lines(skolem_N7979, M38_857_8)
% 293.41/42.82 -> [21821] left_convergent_lines(skolem_N7979, reverse_line(M38_857_8))
% 293.41/42.82
% 293.41/42.82 [21821] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [21992] ~(left_apart_point(A39_1675_9, L40_1675_9) | left_apart_point(A39_1675_9, reverse_line(L40_1675_9)))
% 293.41/42.82
% 293.41/42.82 [21992] ALPHA_NOT_OR : ~(left_apart_point(A39_1675_9, L40_1675_9) | left_apart_point(A39_1675_9, reverse_line(L40_1675_9)))
% 293.41/42.82 -> [21994] ~left_apart_point(A39_1675_9, L40_1675_9), ~left_apart_point(A39_1675_9, reverse_line(L40_1675_9))
% 293.41/42.82
% 293.41/42.82 [21994] CLOSURE : ~left_apart_point(A39_1675_9, L40_1675_9)
% 293.41/42.82
% 293.41/42.82 [21820] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [22090] ~(left_apart_point(A39_1683_9, L40_1683_9) | left_apart_point(A39_1683_9, reverse_line(L40_1683_9)))
% 293.41/42.82
% 293.41/42.82 [22090] ALPHA_NOT_OR : ~(left_apart_point(A39_1683_9, L40_1683_9) | left_apart_point(A39_1683_9, reverse_line(L40_1683_9)))
% 293.41/42.82 -> [22095] ~left_apart_point(A39_1683_9, L40_1683_9), ~left_apart_point(A39_1683_9, reverse_line(L40_1683_9))
% 293.41/42.82
% 293.41/42.82 [22095] CLOSURE : ~left_apart_point(A39_1683_9, L40_1683_9)
% 293.41/42.82
% 293.41/42.82 [17771] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [21804] ((unequally_directed_lines(skolem_N7979, M38_856_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_856_8))) => (left_convergent_lines(skolem_N7979, M38_856_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_856_8))))
% 293.41/42.82
% 293.41/42.82 [21804] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_856_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_856_8))) => (left_convergent_lines(skolem_N7979, M38_856_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_856_8))))
% 293.41/42.82 -> [21806] ~(unequally_directed_lines(skolem_N7979, M38_856_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_856_8)))
% 293.41/42.82 -> [21807] (left_convergent_lines(skolem_N7979, M38_856_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_856_8)))
% 293.41/42.82
% 293.41/42.82 [21807] BETA_OR : (left_convergent_lines(skolem_N7979, M38_856_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_856_8)))
% 293.41/42.82 -> [21810] left_convergent_lines(skolem_N7979, M38_856_8)
% 293.41/42.82 -> [21811] left_convergent_lines(skolem_N7979, reverse_line(M38_856_8))
% 293.41/42.82
% 293.41/42.82 [21811] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [21984] ~(left_apart_point(A39_1672_9, L40_1672_9) | left_apart_point(A39_1672_9, reverse_line(L40_1672_9)))
% 293.41/42.82
% 293.41/42.82 [21984] ALPHA_NOT_OR : ~(left_apart_point(A39_1672_9, L40_1672_9) | left_apart_point(A39_1672_9, reverse_line(L40_1672_9)))
% 293.41/42.82 -> [21986] ~left_apart_point(A39_1672_9, L40_1672_9), ~left_apart_point(A39_1672_9, reverse_line(L40_1672_9))
% 293.41/42.82
% 293.41/42.82 [21986] CLOSURE : ~left_apart_point(A39_1672_9, L40_1672_9)
% 293.41/42.82
% 293.41/42.82 [21810] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [22043] ~(left_apart_point(A39_1676_9, L40_1676_9) | left_apart_point(A39_1676_9, reverse_line(L40_1676_9)))
% 293.41/42.82
% 293.41/42.82 [22043] ALPHA_NOT_OR : ~(left_apart_point(A39_1676_9, L40_1676_9) | left_apart_point(A39_1676_9, reverse_line(L40_1676_9)))
% 293.41/42.82 -> [22046] ~left_apart_point(A39_1676_9, L40_1676_9), ~left_apart_point(A39_1676_9, reverse_line(L40_1676_9))
% 293.41/42.82
% 293.41/42.82 [22046] CLOSURE : ~left_apart_point(A39_1676_9, L40_1676_9)
% 293.41/42.82
% 293.41/42.82 [21806] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_856_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_856_8)))
% 293.41/42.82 -> [21861] ~unequally_directed_lines(skolem_N7979, M38_856_8)
% 293.41/42.82 -> [21862] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_856_8))
% 293.41/42.82
% 293.41/42.82 [21862] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_856_8))
% 293.41/42.82
% 293.41/42.82 [21861] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_856_8)
% 293.41/42.82
% 293.41/42.82 [17671] 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))))
% 293.41/42.82 -> [17680] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.41/42.82 -> [17681] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.41/42.82
% 293.41/42.82 [17680] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.41/42.82
% 293.41/42.82 [17681] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [24962] ((unequally_directed_lines(skolem_N7979, M38_1070_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1070_8))) => (left_convergent_lines(skolem_N7979, M38_1070_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1070_8))))
% 293.41/42.82
% 293.41/42.82 [24962] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1070_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1070_8))) => (left_convergent_lines(skolem_N7979, M38_1070_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1070_8))))
% 293.41/42.82 -> [24963] ~(unequally_directed_lines(skolem_N7979, M38_1070_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1070_8)))
% 293.41/42.82 -> [24964] (left_convergent_lines(skolem_N7979, M38_1070_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1070_8)))
% 293.41/42.82
% 293.41/42.82 [24964] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1070_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1070_8)))
% 293.41/42.82 -> [24965] left_convergent_lines(skolem_N7979, M38_1070_8)
% 293.41/42.82 -> [24966] left_convergent_lines(skolem_N7979, reverse_line(M38_1070_8))
% 293.41/42.82
% 293.41/42.82 [24966] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [25030] ~(left_apart_point(A39_2120_9, L40_2120_9) | left_apart_point(A39_2120_9, reverse_line(L40_2120_9)))
% 293.41/42.82
% 293.41/42.82 [25030] ALPHA_NOT_OR : ~(left_apart_point(A39_2120_9, L40_2120_9) | left_apart_point(A39_2120_9, reverse_line(L40_2120_9)))
% 293.41/42.82 -> [25033] ~left_apart_point(A39_2120_9, L40_2120_9), ~left_apart_point(A39_2120_9, reverse_line(L40_2120_9))
% 293.41/42.82
% 293.41/42.82 [25033] CLOSURE : ~left_apart_point(A39_2120_9, L40_2120_9)
% 293.41/42.82
% 293.41/42.82 [24965] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [25038] ~(left_apart_point(A39_2121_9, L40_2121_9) | left_apart_point(A39_2121_9, reverse_line(L40_2121_9)))
% 293.41/42.82
% 293.41/42.82 [25038] ALPHA_NOT_OR : ~(left_apart_point(A39_2121_9, L40_2121_9) | left_apart_point(A39_2121_9, reverse_line(L40_2121_9)))
% 293.41/42.82 -> [25039] ~left_apart_point(A39_2121_9, L40_2121_9), ~left_apart_point(A39_2121_9, reverse_line(L40_2121_9))
% 293.41/42.82
% 293.41/42.82 [25039] CLOSURE : ~left_apart_point(A39_2121_9, L40_2121_9)
% 293.41/42.82
% 293.41/42.82 [24963] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1070_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1070_8)))
% 293.41/42.82 -> [24996] ~unequally_directed_lines(skolem_N7979, M38_1070_8)
% 293.41/42.82 -> [24997] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1070_8))
% 293.41/42.82
% 293.41/42.82 [24997] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1070_8))
% 293.41/42.82
% 293.41/42.82 [24996] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1070_8)
% 293.41/42.82
% 293.41/42.82 [153] 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)))
% 293.41/42.82 -> [157] (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)))
% 293.41/42.82
% 293.41/42.82 [157] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.41/42.82 -> [159] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.41/42.82 -> [160] ~~(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)))
% 293.41/42.82
% 293.41/42.82 [159] 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)))
% 293.41/42.82 -> [203] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 293.41/42.82 -> [204] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [204] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.41/42.82 -> [527] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 293.41/42.82 -> [528] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.41/42.82
% 293.41/42.82 [527] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.41/42.82 -> [1220] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.82
% 293.41/42.82 [1220] 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))))
% 293.41/42.82 -> [3090] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.41/42.82
% 293.41/42.82 [3090] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.41/42.82 -> [3092] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.82 -> [3093] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.41/42.82
% 293.41/42.82 [3092] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.82
% 293.41/42.82 [3093] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.41/42.82 -> [3949] distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.82 -> [3950] distinct_points(skolem_C8282, skolem_B8181)
% 293.41/42.82
% 293.41/42.82 [3949] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.82
% 293.41/42.82 [3950] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.41/42.82 -> [4158] ~distinct_lines(N27_92_3, N27_92_3)
% 293.41/42.82
% 293.41/42.82 [4158] 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))))
% 293.41/42.82 -> [4173] (distinct_lines(N27_92_3, N27_92_3) => (distinct_lines(N27_92_3, N27_92_3) | distinct_lines(N27_92_3, N27_92_3)))
% 293.41/42.82
% 293.41/42.82 [4173] 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)))
% 293.41/42.82 -> [4174] ~distinct_lines(N27_92_3, N27_92_3)
% 293.41/42.82 -> [4175] (distinct_lines(N27_92_3, N27_92_3) | distinct_lines(N27_92_3, N27_92_3))
% 293.41/42.82
% 293.41/42.82 [4175] BETA_OR : (distinct_lines(N27_92_3, N27_92_3) | distinct_lines(N27_92_3, N27_92_3))
% 293.41/42.82 -> [4180] distinct_lines(N27_92_3, N27_92_3)
% 293.41/42.82 -> [4181] distinct_lines(N27_92_3, N27_92_3)
% 293.41/42.82
% 293.41/42.82 [4181] CLOSURE : distinct_lines(N27_92_3, N27_92_3)
% 293.41/42.82
% 293.41/42.82 [4180] CLOSURE : distinct_lines(N27_92_3, N27_92_3)
% 293.41/42.82
% 293.41/42.82 [4174] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.41/42.82 -> [4216] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.82
% 293.41/42.82 [4216] 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))))
% 293.41/42.82 -> [5301] (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)))
% 293.41/42.82
% 293.41/42.82 [5301] 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)))
% 293.41/42.82 -> [5302] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82 -> [5303] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [5302] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [5303] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.41/42.82 -> [9949] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.82 -> [9950] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.41/42.82
% 293.41/42.82 [9949] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.82
% 293.41/42.82 [9950] 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))))))
% 293.41/42.82 -> [10106] ((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)))))
% 293.41/42.82
% 293.41/42.82 [10106] 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)))))
% 293.41/42.82 -> [10107] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [10108] ((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))))
% 293.41/42.82
% 293.41/42.82 [10107] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [10114] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82 -> [10115] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [10115] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [10114] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82
% 293.41/42.82 [10108] 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))))
% 293.41/42.82 -> [10546] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [10547] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.41/42.82
% 293.41/42.82 [10546] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [10558] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [10558] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.82
% 293.41/42.82 [10547] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [10552] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [10552] 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)))))
% 293.41/42.82 -> [10578] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.41/42.82
% 293.41/42.82 [10578] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.41/42.82 -> [11343] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.41/42.82 -> [11344] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.41/42.82
% 293.41/42.82 [11343] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.41/42.82 -> [11365] ~line(skolem_M7878)
% 293.41/42.82 -> [11366] ~line(skolem_M7878)
% 293.41/42.82
% 293.41/42.82 [11366] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [11499] ((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))))
% 293.41/42.82
% 293.41/42.82 [11499] 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))))
% 293.41/42.82 -> [11503] ~(unequally_directed_lines(skolem_N7979, M38_232_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_232_8)))
% 293.41/42.82 -> [11504] (left_convergent_lines(skolem_N7979, M38_232_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_232_8)))
% 293.41/42.82
% 293.41/42.82 [11504] BETA_OR : (left_convergent_lines(skolem_N7979, M38_232_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_232_8)))
% 293.41/42.82 -> [11511] left_convergent_lines(skolem_N7979, M38_232_8)
% 293.41/42.82 -> [11512] left_convergent_lines(skolem_N7979, reverse_line(M38_232_8))
% 293.41/42.82
% 293.41/42.82 [11512] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [11754] ~(left_apart_point(A39_441_9, L40_441_9) | left_apart_point(A39_441_9, reverse_line(L40_441_9)))
% 293.41/42.82
% 293.41/42.82 [11754] ALPHA_NOT_OR : ~(left_apart_point(A39_441_9, L40_441_9) | left_apart_point(A39_441_9, reverse_line(L40_441_9)))
% 293.41/42.82 -> [11755] ~left_apart_point(A39_441_9, L40_441_9), ~left_apart_point(A39_441_9, reverse_line(L40_441_9))
% 293.41/42.82
% 293.41/42.82 [11755] CLOSURE : ~left_apart_point(A39_441_9, L40_441_9)
% 293.41/42.82
% 293.41/42.82 [11511] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [11799] ~(left_apart_point(A39_450_9, L40_450_9) | left_apart_point(A39_450_9, reverse_line(L40_450_9)))
% 293.41/42.82
% 293.41/42.82 [11799] ALPHA_NOT_OR : ~(left_apart_point(A39_450_9, L40_450_9) | left_apart_point(A39_450_9, reverse_line(L40_450_9)))
% 293.41/42.82 -> [11801] ~left_apart_point(A39_450_9, L40_450_9), ~left_apart_point(A39_450_9, reverse_line(L40_450_9))
% 293.41/42.82
% 293.41/42.82 [11801] CLOSURE : ~left_apart_point(A39_450_9, L40_450_9)
% 293.41/42.82
% 293.41/42.82 [11503] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_232_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_232_8)))
% 293.41/42.82 -> [11586] ~unequally_directed_lines(skolem_N7979, M38_232_8)
% 293.41/42.82 -> [11587] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_232_8))
% 293.41/42.82
% 293.41/42.82 [11586] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_232_8)
% 293.41/42.82
% 293.41/42.82 [11587] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_232_8))
% 293.41/42.82
% 293.41/42.82 [11365] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [11572] ((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))))
% 293.41/42.82
% 293.41/42.82 [11572] 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))))
% 293.41/42.82 -> [11575] ~(unequally_directed_lines(skolem_N7979, M38_238_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_238_8)))
% 293.41/42.82 -> [11576] (left_convergent_lines(skolem_N7979, M38_238_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_238_8)))
% 293.41/42.82
% 293.41/42.82 [11576] BETA_OR : (left_convergent_lines(skolem_N7979, M38_238_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_238_8)))
% 293.41/42.82 -> [11579] left_convergent_lines(skolem_N7979, M38_238_8)
% 293.41/42.82 -> [11580] left_convergent_lines(skolem_N7979, reverse_line(M38_238_8))
% 293.41/42.82
% 293.41/42.82 [11580] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [11787] ~(left_apart_point(A39_448_9, L40_448_9) | left_apart_point(A39_448_9, reverse_line(L40_448_9)))
% 293.41/42.82
% 293.41/42.82 [11787] ALPHA_NOT_OR : ~(left_apart_point(A39_448_9, L40_448_9) | left_apart_point(A39_448_9, reverse_line(L40_448_9)))
% 293.41/42.82 -> [11791] ~left_apart_point(A39_448_9, L40_448_9), ~left_apart_point(A39_448_9, reverse_line(L40_448_9))
% 293.41/42.82
% 293.41/42.82 [11791] CLOSURE : ~left_apart_point(A39_448_9, L40_448_9)
% 293.41/42.82
% 293.41/42.82 [11579] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [11878] ~(left_apart_point(A39_466_9, L40_466_9) | left_apart_point(A39_466_9, reverse_line(L40_466_9)))
% 293.41/42.82
% 293.41/42.82 [11878] ALPHA_NOT_OR : ~(left_apart_point(A39_466_9, L40_466_9) | left_apart_point(A39_466_9, reverse_line(L40_466_9)))
% 293.41/42.82 -> [11881] ~left_apart_point(A39_466_9, L40_466_9), ~left_apart_point(A39_466_9, reverse_line(L40_466_9))
% 293.41/42.82
% 293.41/42.82 [11881] CLOSURE : ~left_apart_point(A39_466_9, L40_466_9)
% 293.41/42.82
% 293.41/42.82 [11575] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_238_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_238_8)))
% 293.41/42.82 -> [11619] ~unequally_directed_lines(skolem_N7979, M38_238_8)
% 293.41/42.82 -> [11620] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_238_8))
% 293.41/42.82
% 293.41/42.82 [11620] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_238_8))
% 293.41/42.82
% 293.41/42.82 [11619] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_238_8)
% 293.41/42.82
% 293.41/42.82 [11344] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [11346] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.82 -> [11347] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [11346] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.82
% 293.41/42.82 [11347] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [11519] ((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))))
% 293.41/42.82
% 293.41/42.82 [11519] 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))))
% 293.41/42.82 -> [11522] ~(unequally_directed_lines(skolem_N7979, M38_234_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_234_8)))
% 293.41/42.82 -> [11523] (left_convergent_lines(skolem_N7979, M38_234_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_234_8)))
% 293.41/42.82
% 293.41/42.82 [11523] BETA_OR : (left_convergent_lines(skolem_N7979, M38_234_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_234_8)))
% 293.41/42.82 -> [11526] left_convergent_lines(skolem_N7979, M38_234_8)
% 293.41/42.82 -> [11527] left_convergent_lines(skolem_N7979, reverse_line(M38_234_8))
% 293.41/42.82
% 293.41/42.82 [11527] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [11760] ~(left_apart_point(A39_442_9, L40_442_9) | left_apart_point(A39_442_9, reverse_line(L40_442_9)))
% 293.41/42.82
% 293.41/42.82 [11760] ALPHA_NOT_OR : ~(left_apart_point(A39_442_9, L40_442_9) | left_apart_point(A39_442_9, reverse_line(L40_442_9)))
% 293.41/42.82 -> [11761] ~left_apart_point(A39_442_9, L40_442_9), ~left_apart_point(A39_442_9, reverse_line(L40_442_9))
% 293.41/42.82
% 293.41/42.82 [11761] CLOSURE : ~left_apart_point(A39_442_9, L40_442_9)
% 293.41/42.82
% 293.41/42.82 [11526] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [11820] ~(left_apart_point(A39_452_9, L40_452_9) | left_apart_point(A39_452_9, reverse_line(L40_452_9)))
% 293.41/42.82
% 293.41/42.82 [11820] ALPHA_NOT_OR : ~(left_apart_point(A39_452_9, L40_452_9) | left_apart_point(A39_452_9, reverse_line(L40_452_9)))
% 293.41/42.82 -> [11823] ~left_apart_point(A39_452_9, L40_452_9), ~left_apart_point(A39_452_9, reverse_line(L40_452_9))
% 293.41/42.82
% 293.41/42.82 [11823] CLOSURE : ~left_apart_point(A39_452_9, L40_452_9)
% 293.41/42.82
% 293.41/42.82 [11522] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_234_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_234_8)))
% 293.41/42.82 -> [11588] ~unequally_directed_lines(skolem_N7979, M38_234_8)
% 293.41/42.82 -> [11589] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_234_8))
% 293.41/42.82
% 293.41/42.82 [11589] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_234_8))
% 293.41/42.82
% 293.41/42.82 [11588] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_234_8)
% 293.41/42.82
% 293.41/42.82 [528] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.41/42.82 -> [846] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.41/42.82
% 293.41/42.82 [846] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.41/42.82 -> [849] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.41/42.82 -> [850] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [849] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.41/42.82 -> [947] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.82
% 293.41/42.82 [947] 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))))
% 293.41/42.82 -> [1409] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.41/42.82
% 293.41/42.82 [1409] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.41/42.82 -> [1410] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.82 -> [1411] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.41/42.82
% 293.41/42.82 [1410] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.82
% 293.41/42.82 [1411] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.41/42.82 -> [3481] distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.82 -> [3482] distinct_points(skolem_C8282, skolem_B8181)
% 293.41/42.82
% 293.41/42.82 [3481] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.82
% 293.41/42.82 [3482] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.41/42.82 -> [3758] ~distinct_lines(N27_75_3, N27_75_3)
% 293.41/42.82
% 293.41/42.82 [3758] 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))))
% 293.41/42.82 -> [3789] (distinct_lines(N27_75_3, N27_75_3) => (distinct_lines(N27_75_3, N27_75_3) | distinct_lines(N27_75_3, N27_75_3)))
% 293.41/42.82
% 293.41/42.82 [3789] 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)))
% 293.41/42.82 -> [3792] ~distinct_lines(N27_75_3, N27_75_3)
% 293.41/42.82 -> [3793] (distinct_lines(N27_75_3, N27_75_3) | distinct_lines(N27_75_3, N27_75_3))
% 293.41/42.82
% 293.41/42.82 [3793] BETA_OR : (distinct_lines(N27_75_3, N27_75_3) | distinct_lines(N27_75_3, N27_75_3))
% 293.41/42.82 -> [3794] distinct_lines(N27_75_3, N27_75_3)
% 293.41/42.82 -> [3795] distinct_lines(N27_75_3, N27_75_3)
% 293.41/42.82
% 293.41/42.82 [3794] CLOSURE : distinct_lines(N27_75_3, N27_75_3)
% 293.41/42.82
% 293.41/42.82 [3795] CLOSURE : distinct_lines(N27_75_3, N27_75_3)
% 293.41/42.82
% 293.41/42.82 [3792] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.41/42.82 -> [3858] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [3858] 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))))
% 293.41/42.82 -> [3926] (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))))
% 293.41/42.82
% 293.41/42.82 [3926] 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))))
% 293.41/42.82 -> [3927] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82 -> [3928] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.41/42.82
% 293.41/42.82 [3927] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [3928] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.41/42.82 -> [6668] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82 -> [6669] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [6669] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [6668] 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))))))
% 293.41/42.82 -> [6962] ((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)))))
% 293.41/42.82
% 293.41/42.82 [6962] 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)))))
% 293.41/42.82 -> [6967] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [6968] ((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))))
% 293.41/42.82
% 293.41/42.82 [6967] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [6989] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82 -> [6990] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [6989] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82
% 293.41/42.82 [6990] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [6968] 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))))
% 293.41/42.82 -> [11359] (unequally_directed_lines(skolem_M7878, N34_55_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_55_6)))
% 293.41/42.82 -> [11360] (unequally_directed_lines(skolem_N7979, N34_55_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_55_6)))
% 293.41/42.82
% 293.41/42.82 [11359] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_55_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_55_6)))
% 293.41/42.82 -> [11364] unequally_directed_lines(skolem_M7878, N34_55_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_55_6))
% 293.41/42.82
% 293.41/42.82 [11364] 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)))))
% 293.41/42.82 -> [11403] ((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)))))
% 293.41/42.82
% 293.41/42.82 [11403] 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)))))
% 293.41/42.82 -> [11405] ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.41/42.82 -> [11406] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 293.41/42.82
% 293.41/42.82 [11405] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.41/42.82 -> [11432] ~line(skolem_L7777)
% 293.41/42.82 -> [11433] ~line(line_connecting(skolem_B8181, skolem_C8282))
% 293.41/42.82
% 293.41/42.82 [11432] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [11515] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.82
% 293.41/42.82 [11515] 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))))
% 293.41/42.82 -> [11520] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [11521] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82
% 293.41/42.82 [11521] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [11524] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82 -> [11525] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [11524] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [12100] ~(left_apart_point(A39_498_9, L40_498_9) | left_apart_point(A39_498_9, reverse_line(L40_498_9)))
% 293.41/42.82
% 293.41/42.82 [12100] ALPHA_NOT_OR : ~(left_apart_point(A39_498_9, L40_498_9) | left_apart_point(A39_498_9, reverse_line(L40_498_9)))
% 293.41/42.82 -> [12102] ~left_apart_point(A39_498_9, L40_498_9), ~left_apart_point(A39_498_9, reverse_line(L40_498_9))
% 293.41/42.82
% 293.41/42.82 [12102] CLOSURE : ~left_apart_point(A39_498_9, L40_498_9)
% 293.41/42.82
% 293.41/42.82 [11525] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [12181] ~(left_apart_point(A39_502_9, L40_502_9) | left_apart_point(A39_502_9, reverse_line(L40_502_9)))
% 293.41/42.82
% 293.41/42.82 [12181] ALPHA_NOT_OR : ~(left_apart_point(A39_502_9, L40_502_9) | left_apart_point(A39_502_9, reverse_line(L40_502_9)))
% 293.41/42.82 -> [12184] ~left_apart_point(A39_502_9, L40_502_9), ~left_apart_point(A39_502_9, reverse_line(L40_502_9))
% 293.41/42.82
% 293.41/42.82 [12184] CLOSURE : ~left_apart_point(A39_502_9, L40_502_9)
% 293.41/42.82
% 293.41/42.82 [11520] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [11560] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82 -> [11561] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [11561] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [11560] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82
% 293.41/42.82 [11433] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [11473] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.82
% 293.41/42.82 [11473] 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))))
% 293.41/42.82 -> [11477] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [11478] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82
% 293.41/42.82 [11478] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [11484] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82 -> [11485] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [11485] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [11614] ~(left_apart_point(A39_430_9, L40_430_9) | left_apart_point(A39_430_9, reverse_line(L40_430_9)))
% 293.41/42.82
% 293.41/42.82 [11614] ALPHA_NOT_OR : ~(left_apart_point(A39_430_9, L40_430_9) | left_apart_point(A39_430_9, reverse_line(L40_430_9)))
% 293.41/42.82 -> [11617] ~left_apart_point(A39_430_9, L40_430_9), ~left_apart_point(A39_430_9, reverse_line(L40_430_9))
% 293.41/42.82
% 293.41/42.82 [11617] CLOSURE : ~left_apart_point(A39_430_9, L40_430_9)
% 293.41/42.82
% 293.41/42.82 [11484] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [11692] ~(left_apart_point(A39_433_9, L40_433_9) | left_apart_point(A39_433_9, reverse_line(L40_433_9)))
% 293.41/42.82
% 293.41/42.82 [11692] ALPHA_NOT_OR : ~(left_apart_point(A39_433_9, L40_433_9) | left_apart_point(A39_433_9, reverse_line(L40_433_9)))
% 293.41/42.82 -> [11694] ~left_apart_point(A39_433_9, L40_433_9), ~left_apart_point(A39_433_9, reverse_line(L40_433_9))
% 293.41/42.82
% 293.41/42.82 [11694] CLOSURE : ~left_apart_point(A39_433_9, L40_433_9)
% 293.41/42.82
% 293.41/42.82 [11477] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [11530] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82 -> [11531] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [11531] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [11530] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82
% 293.41/42.82 [11406] 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))))
% 293.41/42.82 -> [11411] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.41/42.82 -> [11412] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.41/42.82
% 293.41/42.82 [11411] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.41/42.82
% 293.41/42.82 [11412] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [12031] ((unequally_directed_lines(skolem_M7878, M38_255_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_255_8))) => (left_convergent_lines(skolem_M7878, M38_255_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_255_8))))
% 293.41/42.82
% 293.41/42.82 [12031] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_255_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_255_8))) => (left_convergent_lines(skolem_M7878, M38_255_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_255_8))))
% 293.41/42.82 -> [12034] ~(unequally_directed_lines(skolem_M7878, M38_255_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_255_8)))
% 293.41/42.82 -> [12035] (left_convergent_lines(skolem_M7878, M38_255_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_255_8)))
% 293.41/42.82
% 293.41/42.82 [12035] BETA_OR : (left_convergent_lines(skolem_M7878, M38_255_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_255_8)))
% 293.41/42.82 -> [12039] left_convergent_lines(skolem_M7878, M38_255_8)
% 293.41/42.82 -> [12040] left_convergent_lines(skolem_M7878, reverse_line(M38_255_8))
% 293.41/42.82
% 293.41/42.82 [12040] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [12669] ~(left_apart_point(A39_531_9, L40_531_9) | left_apart_point(A39_531_9, reverse_line(L40_531_9)))
% 293.41/42.82
% 293.41/42.82 [12669] ALPHA_NOT_OR : ~(left_apart_point(A39_531_9, L40_531_9) | left_apart_point(A39_531_9, reverse_line(L40_531_9)))
% 293.41/42.82 -> [12672] ~left_apart_point(A39_531_9, L40_531_9), ~left_apart_point(A39_531_9, reverse_line(L40_531_9))
% 293.41/42.82
% 293.41/42.82 [12672] CLOSURE : ~left_apart_point(A39_531_9, L40_531_9)
% 293.41/42.82
% 293.41/42.82 [12039] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [12694] ~(left_apart_point(A39_532_9, L40_532_9) | left_apart_point(A39_532_9, reverse_line(L40_532_9)))
% 293.41/42.82
% 293.41/42.82 [12694] ALPHA_NOT_OR : ~(left_apart_point(A39_532_9, L40_532_9) | left_apart_point(A39_532_9, reverse_line(L40_532_9)))
% 293.41/42.82 -> [12700] ~left_apart_point(A39_532_9, L40_532_9), ~left_apart_point(A39_532_9, reverse_line(L40_532_9))
% 293.41/42.82
% 293.41/42.82 [12700] CLOSURE : ~left_apart_point(A39_532_9, L40_532_9)
% 293.41/42.82
% 293.41/42.82 [12034] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_255_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_255_8)))
% 293.41/42.82 -> [12071] ~unequally_directed_lines(skolem_M7878, M38_255_8)
% 293.41/42.82 -> [12072] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_255_8))
% 293.41/42.82
% 293.41/42.82 [12071] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_255_8)
% 293.41/42.82
% 293.41/42.82 [12072] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_255_8))
% 293.41/42.82
% 293.41/42.82 [11360] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_55_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_55_6)))
% 293.41/42.82 -> [11362] unequally_directed_lines(skolem_N7979, N34_55_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_55_6))
% 293.41/42.82
% 293.41/42.82 [11362] 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)))))
% 293.41/42.82 -> [11392] ((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)))))
% 293.41/42.82
% 293.41/42.82 [11392] 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)))))
% 293.41/42.82 -> [11395] ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.41/42.82 -> [11396] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 293.41/42.82
% 293.41/42.82 [11395] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.41/42.82 -> [11417] ~line(reverse_line(skolem_N7979))
% 293.41/42.82 -> [11418] ~line(reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [11418] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [11450] ((unequally_directed_lines(skolem_N7979, M38_228_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_228_8))) => (left_convergent_lines(skolem_N7979, M38_228_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_228_8))))
% 293.41/42.82
% 293.41/42.82 [11450] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_228_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_228_8))) => (left_convergent_lines(skolem_N7979, M38_228_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_228_8))))
% 293.41/42.82 -> [11452] ~(unequally_directed_lines(skolem_N7979, M38_228_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_228_8)))
% 293.41/42.82 -> [11453] (left_convergent_lines(skolem_N7979, M38_228_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_228_8)))
% 293.41/42.82
% 293.41/42.82 [11453] BETA_OR : (left_convergent_lines(skolem_N7979, M38_228_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_228_8)))
% 293.41/42.82 -> [11458] left_convergent_lines(skolem_N7979, M38_228_8)
% 293.41/42.82 -> [11459] left_convergent_lines(skolem_N7979, reverse_line(M38_228_8))
% 293.41/42.82
% 293.41/42.82 [11459] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [11606] ~(left_apart_point(A39_429_9, L40_429_9) | left_apart_point(A39_429_9, reverse_line(L40_429_9)))
% 293.41/42.82
% 293.41/42.82 [11606] ALPHA_NOT_OR : ~(left_apart_point(A39_429_9, L40_429_9) | left_apart_point(A39_429_9, reverse_line(L40_429_9)))
% 293.41/42.82 -> [11607] ~left_apart_point(A39_429_9, L40_429_9), ~left_apart_point(A39_429_9, reverse_line(L40_429_9))
% 293.41/42.82
% 293.41/42.82 [11607] CLOSURE : ~left_apart_point(A39_429_9, L40_429_9)
% 293.41/42.82
% 293.41/42.82 [11458] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [11639] ~(left_apart_point(A39_431_9, L40_431_9) | left_apart_point(A39_431_9, reverse_line(L40_431_9)))
% 293.41/42.82
% 293.41/42.82 [11639] ALPHA_NOT_OR : ~(left_apart_point(A39_431_9, L40_431_9) | left_apart_point(A39_431_9, reverse_line(L40_431_9)))
% 293.41/42.82 -> [11642] ~left_apart_point(A39_431_9, L40_431_9), ~left_apart_point(A39_431_9, reverse_line(L40_431_9))
% 293.41/42.82
% 293.41/42.82 [11642] CLOSURE : ~left_apart_point(A39_431_9, L40_431_9)
% 293.41/42.82
% 293.41/42.82 [11452] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_228_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_228_8)))
% 293.41/42.82 -> [11500] ~unequally_directed_lines(skolem_N7979, M38_228_8)
% 293.41/42.82 -> [11501] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_228_8))
% 293.41/42.82
% 293.41/42.82 [11501] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_228_8))
% 293.41/42.82
% 293.41/42.82 [11500] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_228_8)
% 293.41/42.82
% 293.41/42.82 [11417] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [11541] ((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))))
% 293.41/42.82
% 293.41/42.82 [11541] 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))))
% 293.41/42.82 -> [11544] ~(unequally_directed_lines(skolem_N7979, M38_235_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_235_8)))
% 293.41/42.82 -> [11545] (left_convergent_lines(skolem_N7979, M38_235_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_235_8)))
% 293.41/42.82
% 293.41/42.82 [11544] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_235_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_235_8)))
% 293.41/42.82 -> [11566] ~unequally_directed_lines(skolem_N7979, M38_235_8)
% 293.41/42.82 -> [11567] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_235_8))
% 293.41/42.82
% 293.41/42.82 [11567] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_235_8))
% 293.41/42.82
% 293.41/42.82 [11566] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_235_8)
% 293.41/42.82
% 293.41/42.82 [11545] BETA_OR : (left_convergent_lines(skolem_N7979, M38_235_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_235_8)))
% 293.41/42.82 -> [11546] left_convergent_lines(skolem_N7979, M38_235_8)
% 293.41/42.82 -> [11547] left_convergent_lines(skolem_N7979, reverse_line(M38_235_8))
% 293.41/42.82
% 293.41/42.82 [11546] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [11708] ~(left_apart_point(A39_436_9, L40_436_9) | left_apart_point(A39_436_9, reverse_line(L40_436_9)))
% 293.41/42.82
% 293.41/42.82 [11708] ALPHA_NOT_OR : ~(left_apart_point(A39_436_9, L40_436_9) | left_apart_point(A39_436_9, reverse_line(L40_436_9)))
% 293.41/42.82 -> [11709] ~left_apart_point(A39_436_9, L40_436_9), ~left_apart_point(A39_436_9, reverse_line(L40_436_9))
% 293.41/42.82
% 293.41/42.82 [11709] CLOSURE : ~left_apart_point(A39_436_9, L40_436_9)
% 293.41/42.82
% 293.41/42.82 [11547] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [11679] ~(left_apart_point(A39_432_9, L40_432_9) | left_apart_point(A39_432_9, reverse_line(L40_432_9)))
% 293.41/42.82
% 293.41/42.82 [11679] ALPHA_NOT_OR : ~(left_apart_point(A39_432_9, L40_432_9) | left_apart_point(A39_432_9, reverse_line(L40_432_9)))
% 293.41/42.82 -> [11682] ~left_apart_point(A39_432_9, L40_432_9), ~left_apart_point(A39_432_9, reverse_line(L40_432_9))
% 293.41/42.82
% 293.41/42.82 [11682] CLOSURE : ~left_apart_point(A39_432_9, L40_432_9)
% 293.41/42.82
% 293.41/42.82 [11396] 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))))
% 293.41/42.82 -> [11397] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82 -> [11398] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 293.41/42.82
% 293.41/42.82 [11397] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [11398] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [12089] ((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))))
% 293.41/42.82
% 293.41/42.82 [12089] 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))))
% 293.41/42.82 -> [12091] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [12092] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82
% 293.41/42.82 [12091] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [12645] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82 -> [12646] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [12645] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82
% 293.41/42.82 [12646] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [12092] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [12093] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82 -> [12094] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [12094] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [12763] ~(left_apart_point(A39_545_9, L40_545_9) | left_apart_point(A39_545_9, reverse_line(L40_545_9)))
% 293.41/42.82
% 293.41/42.82 [12763] ALPHA_NOT_OR : ~(left_apart_point(A39_545_9, L40_545_9) | left_apart_point(A39_545_9, reverse_line(L40_545_9)))
% 293.41/42.82 -> [12764] ~left_apart_point(A39_545_9, L40_545_9), ~left_apart_point(A39_545_9, reverse_line(L40_545_9))
% 293.41/42.82
% 293.41/42.82 [12764] CLOSURE : ~left_apart_point(A39_545_9, L40_545_9)
% 293.41/42.82
% 293.41/42.82 [12093] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [13966] ~(left_apart_point(A39_689_9, L40_689_9) | left_apart_point(A39_689_9, reverse_line(L40_689_9)))
% 293.41/42.82
% 293.41/42.82 [13966] ALPHA_NOT_OR : ~(left_apart_point(A39_689_9, L40_689_9) | left_apart_point(A39_689_9, reverse_line(L40_689_9)))
% 293.41/42.82 -> [13968] ~left_apart_point(A39_689_9, L40_689_9), ~left_apart_point(A39_689_9, reverse_line(L40_689_9))
% 293.41/42.82
% 293.41/42.82 [13968] CLOSURE : ~left_apart_point(A39_689_9, L40_689_9)
% 293.41/42.82
% 293.41/42.82 [850] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.41/42.82 -> [918] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.82
% 293.41/42.82 [918] 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))))
% 293.41/42.82 -> [1999] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.41/42.82
% 293.41/42.82 [1999] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.41/42.82 -> [2001] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.82 -> [2002] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.41/42.82
% 293.41/42.82 [2001] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.82
% 293.41/42.82 [2002] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.41/42.82 -> [2212] distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.82 -> [2213] distinct_points(skolem_C8282, skolem_B8181)
% 293.41/42.82
% 293.41/42.82 [2212] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.82
% 293.41/42.82 [2213] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.41/42.82 -> [4196] ~distinct_lines(N27_156_3, N27_156_3)
% 293.41/42.82
% 293.41/42.82 [4196] 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))))
% 293.41/42.82 -> [5558] (distinct_lines(N27_156_3, N27_156_3) => (distinct_lines(N27_156_3, N27_156_3) | distinct_lines(N27_156_3, N27_156_3)))
% 293.41/42.82
% 293.41/42.82 [5558] BETA_IMPLY : (distinct_lines(N27_156_3, N27_156_3) => (distinct_lines(N27_156_3, N27_156_3) | distinct_lines(N27_156_3, N27_156_3)))
% 293.41/42.82 -> [5559] ~distinct_lines(N27_156_3, N27_156_3)
% 293.41/42.82 -> [5560] (distinct_lines(N27_156_3, N27_156_3) | distinct_lines(N27_156_3, N27_156_3))
% 293.41/42.82
% 293.41/42.82 [5560] BETA_OR : (distinct_lines(N27_156_3, N27_156_3) | distinct_lines(N27_156_3, N27_156_3))
% 293.41/42.82 -> [5561] distinct_lines(N27_156_3, N27_156_3)
% 293.41/42.82 -> [5562] distinct_lines(N27_156_3, N27_156_3)
% 293.41/42.82
% 293.41/42.82 [5561] CLOSURE : distinct_lines(N27_156_3, N27_156_3)
% 293.41/42.82
% 293.41/42.82 [5562] CLOSURE : distinct_lines(N27_156_3, N27_156_3)
% 293.41/42.82
% 293.41/42.82 [5559] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.41/42.82 -> [5852] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [5852] 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))))
% 293.41/42.82 -> [6173] (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))))
% 293.41/42.82
% 293.41/42.82 [6173] 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))))
% 293.41/42.82 -> [6177] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82 -> [6178] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.41/42.82
% 293.41/42.82 [6177] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [6178] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.41/42.82 -> [10853] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82 -> [10854] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [10854] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [10853] 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))))))
% 293.41/42.82 -> [11661] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_158_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_158_6))) | (unequally_directed_lines(skolem_N7979, N34_158_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_158_6)))))
% 293.41/42.82
% 293.41/42.82 [11661] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_158_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_158_6))) | (unequally_directed_lines(skolem_N7979, N34_158_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_158_6)))))
% 293.41/42.82 -> [11662] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [11663] ((unequally_directed_lines(skolem_M7878, N34_158_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_158_6))) | (unequally_directed_lines(skolem_N7979, N34_158_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_158_6))))
% 293.41/42.82
% 293.41/42.82 [11662] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [11722] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82 -> [11723] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [11723] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [11722] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82
% 293.41/42.82 [11663] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_158_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_158_6))) | (unequally_directed_lines(skolem_N7979, N34_158_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_158_6))))
% 293.41/42.82 -> [18087] (unequally_directed_lines(skolem_M7878, N34_158_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_158_6)))
% 293.41/42.82 -> [18088] (unequally_directed_lines(skolem_N7979, N34_158_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_158_6)))
% 293.41/42.82
% 293.41/42.82 [18087] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_158_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_158_6)))
% 293.41/42.82 -> [18173] unequally_directed_lines(skolem_M7878, N34_158_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_158_6))
% 293.41/42.82
% 293.41/42.82 [18173] 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)))))
% 293.41/42.82 -> [18498] ((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)))))
% 293.41/42.82
% 293.41/42.82 [18498] 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)))))
% 293.41/42.82 -> [18500] ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.41/42.82 -> [18501] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 293.41/42.82
% 293.41/42.82 [18500] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.41/42.82 -> [18564] ~line(reverse_line(skolem_N7979))
% 293.41/42.82 -> [18565] ~line(reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [18565] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [18683] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.82
% 293.41/42.82 [18683] 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))))
% 293.41/42.82 -> [18684] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [18685] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82
% 293.41/42.82 [18684] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [18723] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82 -> [18724] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [18723] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82
% 293.41/42.82 [18724] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [18685] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [18688] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82 -> [18689] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [18688] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [18884] ~(left_apart_point(A39_1275_9, L40_1275_9) | left_apart_point(A39_1275_9, reverse_line(L40_1275_9)))
% 293.41/42.82
% 293.41/42.82 [18884] ALPHA_NOT_OR : ~(left_apart_point(A39_1275_9, L40_1275_9) | left_apart_point(A39_1275_9, reverse_line(L40_1275_9)))
% 293.41/42.82 -> [18885] ~left_apart_point(A39_1275_9, L40_1275_9), ~left_apart_point(A39_1275_9, reverse_line(L40_1275_9))
% 293.41/42.82
% 293.41/42.82 [18885] CLOSURE : ~left_apart_point(A39_1275_9, L40_1275_9)
% 293.41/42.82
% 293.41/42.82 [18689] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [18841] ~(left_apart_point(A39_1264_9, L40_1264_9) | left_apart_point(A39_1264_9, reverse_line(L40_1264_9)))
% 293.41/42.82
% 293.41/42.82 [18841] ALPHA_NOT_OR : ~(left_apart_point(A39_1264_9, L40_1264_9) | left_apart_point(A39_1264_9, reverse_line(L40_1264_9)))
% 293.41/42.82 -> [18843] ~left_apart_point(A39_1264_9, L40_1264_9), ~left_apart_point(A39_1264_9, reverse_line(L40_1264_9))
% 293.41/42.82
% 293.41/42.82 [18843] CLOSURE : ~left_apart_point(A39_1264_9, L40_1264_9)
% 293.41/42.82
% 293.41/42.82 [18564] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [18711] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.82
% 293.41/42.82 [18711] 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))))
% 293.41/42.82 -> [18712] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [18713] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82
% 293.41/42.82 [18712] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [18760] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82 -> [18761] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [18761] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [18760] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82
% 293.41/42.82 [18713] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [18715] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82 -> [18716] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [18716] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [18868] ~(left_apart_point(A39_1271_9, L40_1271_9) | left_apart_point(A39_1271_9, reverse_line(L40_1271_9)))
% 293.41/42.82
% 293.41/42.82 [18868] ALPHA_NOT_OR : ~(left_apart_point(A39_1271_9, L40_1271_9) | left_apart_point(A39_1271_9, reverse_line(L40_1271_9)))
% 293.41/42.82 -> [18871] ~left_apart_point(A39_1271_9, L40_1271_9), ~left_apart_point(A39_1271_9, reverse_line(L40_1271_9))
% 293.41/42.82
% 293.41/42.82 [18871] CLOSURE : ~left_apart_point(A39_1271_9, L40_1271_9)
% 293.41/42.82
% 293.41/42.82 [18715] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [18916] ~(left_apart_point(A39_1279_9, L40_1279_9) | left_apart_point(A39_1279_9, reverse_line(L40_1279_9)))
% 293.41/42.82
% 293.41/42.82 [18916] ALPHA_NOT_OR : ~(left_apart_point(A39_1279_9, L40_1279_9) | left_apart_point(A39_1279_9, reverse_line(L40_1279_9)))
% 293.41/42.82 -> [18917] ~left_apart_point(A39_1279_9, L40_1279_9), ~left_apart_point(A39_1279_9, reverse_line(L40_1279_9))
% 293.41/42.82
% 293.41/42.82 [18917] CLOSURE : ~left_apart_point(A39_1279_9, L40_1279_9)
% 293.41/42.82
% 293.41/42.82 [18501] 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))))
% 293.41/42.82 -> [18504] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82 -> [18505] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 293.41/42.82
% 293.41/42.82 [18504] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [18505] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [20031] ((unequally_directed_lines(skolem_M7878, M38_743_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_743_8))) => (left_convergent_lines(skolem_M7878, M38_743_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_743_8))))
% 293.41/42.82
% 293.41/42.82 [20031] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_743_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_743_8))) => (left_convergent_lines(skolem_M7878, M38_743_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_743_8))))
% 293.41/42.82 -> [20035] ~(unequally_directed_lines(skolem_M7878, M38_743_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_743_8)))
% 293.41/42.82 -> [20036] (left_convergent_lines(skolem_M7878, M38_743_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_743_8)))
% 293.41/42.82
% 293.41/42.82 [20035] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_743_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_743_8)))
% 293.41/42.82 -> [20048] ~unequally_directed_lines(skolem_M7878, M38_743_8)
% 293.41/42.82 -> [20049] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_743_8))
% 293.41/42.82
% 293.41/42.82 [20049] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_743_8))
% 293.41/42.82
% 293.41/42.82 [20048] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_743_8)
% 293.41/42.82
% 293.41/42.82 [20036] BETA_OR : (left_convergent_lines(skolem_M7878, M38_743_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_743_8)))
% 293.41/42.82 -> [20039] left_convergent_lines(skolem_M7878, M38_743_8)
% 293.41/42.82 -> [20040] left_convergent_lines(skolem_M7878, reverse_line(M38_743_8))
% 293.41/42.82
% 293.41/42.82 [20040] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [20068] ~(left_apart_point(A39_1430_9, L40_1430_9) | left_apart_point(A39_1430_9, reverse_line(L40_1430_9)))
% 293.41/42.82
% 293.41/42.82 [20068] ALPHA_NOT_OR : ~(left_apart_point(A39_1430_9, L40_1430_9) | left_apart_point(A39_1430_9, reverse_line(L40_1430_9)))
% 293.41/42.82 -> [20071] ~left_apart_point(A39_1430_9, L40_1430_9), ~left_apart_point(A39_1430_9, reverse_line(L40_1430_9))
% 293.41/42.82
% 293.41/42.82 [20071] CLOSURE : ~left_apart_point(A39_1430_9, L40_1430_9)
% 293.41/42.82
% 293.41/42.82 [20039] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [20082] ~(left_apart_point(A39_1434_9, L40_1434_9) | left_apart_point(A39_1434_9, reverse_line(L40_1434_9)))
% 293.41/42.82
% 293.41/42.82 [20082] ALPHA_NOT_OR : ~(left_apart_point(A39_1434_9, L40_1434_9) | left_apart_point(A39_1434_9, reverse_line(L40_1434_9)))
% 293.41/42.82 -> [20086] ~left_apart_point(A39_1434_9, L40_1434_9), ~left_apart_point(A39_1434_9, reverse_line(L40_1434_9))
% 293.41/42.82
% 293.41/42.82 [20086] CLOSURE : ~left_apart_point(A39_1434_9, L40_1434_9)
% 293.41/42.82
% 293.41/42.82 [18088] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_158_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_158_6)))
% 293.41/42.82 -> [18089] unequally_directed_lines(skolem_N7979, N34_158_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_158_6))
% 293.41/42.82
% 293.41/42.82 [18089] 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)))))
% 293.41/42.82 -> [18439] ((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)))))
% 293.41/42.82
% 293.41/42.82 [18439] 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)))))
% 293.41/42.82 -> [18441] ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.41/42.82 -> [18442] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 293.41/42.82
% 293.41/42.82 [18441] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.41/42.82 -> [18512] ~line(reverse_line(skolem_N7979))
% 293.41/42.82 -> [18513] ~line(reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [18513] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [18643] ((unequally_directed_lines(skolem_N7979, M38_649_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_649_8))) => (left_convergent_lines(skolem_N7979, M38_649_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_649_8))))
% 293.41/42.82
% 293.41/42.82 [18643] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_649_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_649_8))) => (left_convergent_lines(skolem_N7979, M38_649_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_649_8))))
% 293.41/42.82 -> [18646] ~(unequally_directed_lines(skolem_N7979, M38_649_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_649_8)))
% 293.41/42.82 -> [18647] (left_convergent_lines(skolem_N7979, M38_649_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_649_8)))
% 293.41/42.82
% 293.41/42.82 [18646] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_649_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_649_8)))
% 293.41/42.82 -> [18697] ~unequally_directed_lines(skolem_N7979, M38_649_8)
% 293.41/42.82 -> [18698] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_649_8))
% 293.41/42.82
% 293.41/42.82 [18698] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_649_8))
% 293.41/42.82
% 293.41/42.82 [18697] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_649_8)
% 293.41/42.82
% 293.41/42.82 [18647] BETA_OR : (left_convergent_lines(skolem_N7979, M38_649_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_649_8)))
% 293.41/42.82 -> [18650] left_convergent_lines(skolem_N7979, M38_649_8)
% 293.41/42.82 -> [18651] left_convergent_lines(skolem_N7979, reverse_line(M38_649_8))
% 293.41/42.82
% 293.41/42.82 [18651] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [18820] ~(left_apart_point(A39_1260_9, L40_1260_9) | left_apart_point(A39_1260_9, reverse_line(L40_1260_9)))
% 293.41/42.82
% 293.41/42.82 [18820] ALPHA_NOT_OR : ~(left_apart_point(A39_1260_9, L40_1260_9) | left_apart_point(A39_1260_9, reverse_line(L40_1260_9)))
% 293.41/42.82 -> [18825] ~left_apart_point(A39_1260_9, L40_1260_9), ~left_apart_point(A39_1260_9, reverse_line(L40_1260_9))
% 293.41/42.82
% 293.41/42.82 [18825] CLOSURE : ~left_apart_point(A39_1260_9, L40_1260_9)
% 293.41/42.82
% 293.41/42.82 [18650] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [18854] ~(left_apart_point(A39_1267_9, L40_1267_9) | left_apart_point(A39_1267_9, reverse_line(L40_1267_9)))
% 293.41/42.82
% 293.41/42.82 [18854] ALPHA_NOT_OR : ~(left_apart_point(A39_1267_9, L40_1267_9) | left_apart_point(A39_1267_9, reverse_line(L40_1267_9)))
% 293.41/42.82 -> [18855] ~left_apart_point(A39_1267_9, L40_1267_9), ~left_apart_point(A39_1267_9, reverse_line(L40_1267_9))
% 293.41/42.82
% 293.41/42.82 [18855] CLOSURE : ~left_apart_point(A39_1267_9, L40_1267_9)
% 293.41/42.82
% 293.41/42.82 [18512] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [18730] ((unequally_directed_lines(skolem_N7979, M38_658_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_658_8))) => (left_convergent_lines(skolem_N7979, M38_658_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_658_8))))
% 293.41/42.82
% 293.41/42.82 [18730] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_658_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_658_8))) => (left_convergent_lines(skolem_N7979, M38_658_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_658_8))))
% 293.41/42.82 -> [18732] ~(unequally_directed_lines(skolem_N7979, M38_658_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_658_8)))
% 293.41/42.82 -> [18733] (left_convergent_lines(skolem_N7979, M38_658_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_658_8)))
% 293.41/42.82
% 293.41/42.82 [18732] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_658_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_658_8)))
% 293.41/42.82 -> [18776] ~unequally_directed_lines(skolem_N7979, M38_658_8)
% 293.41/42.82 -> [18777] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_658_8))
% 293.41/42.82
% 293.41/42.82 [18777] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_658_8))
% 293.41/42.82
% 293.41/42.82 [18776] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_658_8)
% 293.41/42.82
% 293.41/42.82 [18733] BETA_OR : (left_convergent_lines(skolem_N7979, M38_658_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_658_8)))
% 293.41/42.82 -> [18737] left_convergent_lines(skolem_N7979, M38_658_8)
% 293.41/42.82 -> [18738] left_convergent_lines(skolem_N7979, reverse_line(M38_658_8))
% 293.41/42.82
% 293.41/42.82 [18738] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [18897] ~(left_apart_point(A39_1276_9, L40_1276_9) | left_apart_point(A39_1276_9, reverse_line(L40_1276_9)))
% 293.41/42.82
% 293.41/42.82 [18897] ALPHA_NOT_OR : ~(left_apart_point(A39_1276_9, L40_1276_9) | left_apart_point(A39_1276_9, reverse_line(L40_1276_9)))
% 293.41/42.82 -> [18903] ~left_apart_point(A39_1276_9, L40_1276_9), ~left_apart_point(A39_1276_9, reverse_line(L40_1276_9))
% 293.41/42.82
% 293.41/42.82 [18903] CLOSURE : ~left_apart_point(A39_1276_9, L40_1276_9)
% 293.41/42.82
% 293.41/42.82 [18737] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [18935] ~(left_apart_point(A39_1281_9, L40_1281_9) | left_apart_point(A39_1281_9, reverse_line(L40_1281_9)))
% 293.41/42.82
% 293.41/42.82 [18935] ALPHA_NOT_OR : ~(left_apart_point(A39_1281_9, L40_1281_9) | left_apart_point(A39_1281_9, reverse_line(L40_1281_9)))
% 293.41/42.82 -> [18938] ~left_apart_point(A39_1281_9, L40_1281_9), ~left_apart_point(A39_1281_9, reverse_line(L40_1281_9))
% 293.41/42.82
% 293.41/42.82 [18938] CLOSURE : ~left_apart_point(A39_1281_9, L40_1281_9)
% 293.41/42.82
% 293.41/42.82 [18442] 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))))
% 293.41/42.82 -> [18447] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82 -> [18448] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 293.41/42.82
% 293.41/42.82 [18447] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [18448] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [19951] ((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))))
% 293.41/42.82
% 293.41/42.82 [19951] 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))))
% 293.41/42.82 -> [19953] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [19954] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82
% 293.41/42.82 [19954] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [19956] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82 -> [19957] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [19957] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [20091] ~(left_apart_point(A39_1435_9, L40_1435_9) | left_apart_point(A39_1435_9, reverse_line(L40_1435_9)))
% 293.41/42.82
% 293.41/42.82 [20091] ALPHA_NOT_OR : ~(left_apart_point(A39_1435_9, L40_1435_9) | left_apart_point(A39_1435_9, reverse_line(L40_1435_9)))
% 293.41/42.82 -> [20093] ~left_apart_point(A39_1435_9, L40_1435_9), ~left_apart_point(A39_1435_9, reverse_line(L40_1435_9))
% 293.41/42.82
% 293.41/42.82 [20093] CLOSURE : ~left_apart_point(A39_1435_9, L40_1435_9)
% 293.41/42.82
% 293.41/42.82 [19956] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [20504] ~(left_apart_point(A39_1496_9, L40_1496_9) | left_apart_point(A39_1496_9, reverse_line(L40_1496_9)))
% 293.41/42.82
% 293.41/42.82 [20504] ALPHA_NOT_OR : ~(left_apart_point(A39_1496_9, L40_1496_9) | left_apart_point(A39_1496_9, reverse_line(L40_1496_9)))
% 293.41/42.82 -> [20506] ~left_apart_point(A39_1496_9, L40_1496_9), ~left_apart_point(A39_1496_9, reverse_line(L40_1496_9))
% 293.41/42.82
% 293.41/42.82 [20506] CLOSURE : ~left_apart_point(A39_1496_9, L40_1496_9)
% 293.41/42.82
% 293.41/42.82 [19953] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [20975] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82 -> [20976] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [20976] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [20975] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82
% 293.41/42.82 [203] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.41/42.82 -> [814] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 293.41/42.82 -> [815] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.41/42.82
% 293.41/42.82 [815] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.41/42.82 -> [819] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.41/42.82
% 293.41/42.82 [819] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.41/42.82 -> [822] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.41/42.82 -> [823] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [823] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.41/42.82 -> [977] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.82
% 293.41/42.82 [977] 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))))
% 293.41/42.82 -> [1655] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.41/42.82
% 293.41/42.82 [1655] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.41/42.82 -> [1656] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.82 -> [1657] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.41/42.82
% 293.41/42.82 [1656] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.82
% 293.41/42.82 [1657] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.41/42.82 -> [4552] distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.82 -> [4553] distinct_points(skolem_C8282, skolem_B8181)
% 293.41/42.82
% 293.41/42.82 [4552] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.82
% 293.41/42.82 [4553] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.41/42.82 -> [4797] ~distinct_lines(N27_141_3, N27_141_3)
% 293.41/42.82
% 293.41/42.82 [4797] 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))))
% 293.41/42.82 -> [5221] (distinct_lines(N27_141_3, N27_141_3) => (distinct_lines(N27_141_3, N27_141_3) | distinct_lines(N27_141_3, N27_141_3)))
% 293.41/42.82
% 293.41/42.82 [5221] BETA_IMPLY : (distinct_lines(N27_141_3, N27_141_3) => (distinct_lines(N27_141_3, N27_141_3) | distinct_lines(N27_141_3, N27_141_3)))
% 293.41/42.82 -> [5222] ~distinct_lines(N27_141_3, N27_141_3)
% 293.41/42.82 -> [5223] (distinct_lines(N27_141_3, N27_141_3) | distinct_lines(N27_141_3, N27_141_3))
% 293.41/42.82
% 293.41/42.82 [5223] BETA_OR : (distinct_lines(N27_141_3, N27_141_3) | distinct_lines(N27_141_3, N27_141_3))
% 293.41/42.82 -> [5228] distinct_lines(N27_141_3, N27_141_3)
% 293.41/42.82 -> [5229] distinct_lines(N27_141_3, N27_141_3)
% 293.41/42.82
% 293.41/42.82 [5228] CLOSURE : distinct_lines(N27_141_3, N27_141_3)
% 293.41/42.82
% 293.41/42.82 [5229] CLOSURE : distinct_lines(N27_141_3, N27_141_3)
% 293.41/42.82
% 293.41/42.82 [5222] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.41/42.82 -> [5322] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.82
% 293.41/42.82 [5322] 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))))
% 293.41/42.82 -> [5434] (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)))
% 293.41/42.82
% 293.41/42.82 [5434] 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)))
% 293.41/42.82 -> [5437] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82 -> [5438] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [5437] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [5438] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.41/42.82 -> [8332] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.82 -> [8333] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.41/42.82
% 293.41/42.82 [8332] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.82
% 293.41/42.82 [8333] 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))))))
% 293.41/42.82 -> [10930] ((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)))))
% 293.41/42.82
% 293.41/42.82 [10930] 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)))))
% 293.41/42.82 -> [10933] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [10934] ((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))))
% 293.41/42.82
% 293.41/42.82 [10933] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [10950] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82 -> [10951] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [10951] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [10950] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82
% 293.41/42.82 [10934] 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))))
% 293.41/42.82 -> [17332] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [17333] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.41/42.82
% 293.41/42.82 [17332] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [17344] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [17344] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.82
% 293.41/42.82 [17333] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [17334] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [17334] 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)))))
% 293.41/42.82 -> [17415] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.41/42.82
% 293.41/42.82 [17415] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.41/42.82 -> [17416] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.41/42.82 -> [17417] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.41/42.82
% 293.41/42.82 [17417] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [17418] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.82 -> [17419] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [17418] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.82
% 293.41/42.82 [17419] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [17548] ((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))))
% 293.41/42.82
% 293.41/42.82 [17548] 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))))
% 293.41/42.82 -> [17551] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [17552] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82
% 293.41/42.82 [17551] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [17879] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82 -> [17880] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [17880] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [17879] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82
% 293.41/42.82 [17552] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [20519] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82 -> [20520] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [20520] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [20597] ~(left_apart_point(A39_1505_9, L40_1505_9) | left_apart_point(A39_1505_9, reverse_line(L40_1505_9)))
% 293.41/42.82
% 293.41/42.82 [20597] ALPHA_NOT_OR : ~(left_apart_point(A39_1505_9, L40_1505_9) | left_apart_point(A39_1505_9, reverse_line(L40_1505_9)))
% 293.41/42.82 -> [20599] ~left_apart_point(A39_1505_9, L40_1505_9), ~left_apart_point(A39_1505_9, reverse_line(L40_1505_9))
% 293.41/42.82
% 293.41/42.82 [20599] CLOSURE : ~left_apart_point(A39_1505_9, L40_1505_9)
% 293.41/42.82
% 293.41/42.82 [20519] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [20674] ~(left_apart_point(A39_1509_9, L40_1509_9) | left_apart_point(A39_1509_9, reverse_line(L40_1509_9)))
% 293.41/42.82
% 293.41/42.82 [20674] ALPHA_NOT_OR : ~(left_apart_point(A39_1509_9, L40_1509_9) | left_apart_point(A39_1509_9, reverse_line(L40_1509_9)))
% 293.41/42.82 -> [20680] ~left_apart_point(A39_1509_9, L40_1509_9), ~left_apart_point(A39_1509_9, reverse_line(L40_1509_9))
% 293.41/42.82
% 293.41/42.82 [20680] CLOSURE : ~left_apart_point(A39_1509_9, L40_1509_9)
% 293.41/42.82
% 293.41/42.82 [17416] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.41/42.82 -> [17433] ~line(skolem_M7878)
% 293.41/42.82 -> [17434] ~line(skolem_M7878)
% 293.41/42.82
% 293.41/42.82 [17434] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [17535] ((unequally_directed_lines(skolem_N7979, M38_587_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_587_8))) => (left_convergent_lines(skolem_N7979, M38_587_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_587_8))))
% 293.41/42.82
% 293.41/42.82 [17535] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_587_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_587_8))) => (left_convergent_lines(skolem_N7979, M38_587_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_587_8))))
% 293.41/42.82 -> [17536] ~(unequally_directed_lines(skolem_N7979, M38_587_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_587_8)))
% 293.41/42.82 -> [17537] (left_convergent_lines(skolem_N7979, M38_587_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_587_8)))
% 293.41/42.82
% 293.41/42.82 [17536] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_587_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_587_8)))
% 293.41/42.82 -> [17949] ~unequally_directed_lines(skolem_N7979, M38_587_8)
% 293.41/42.82 -> [17950] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_587_8))
% 293.41/42.82
% 293.41/42.82 [17950] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_587_8))
% 293.41/42.82
% 293.41/42.82 [17949] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_587_8)
% 293.41/42.82
% 293.41/42.82 [17537] BETA_OR : (left_convergent_lines(skolem_N7979, M38_587_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_587_8)))
% 293.41/42.82 -> [17540] left_convergent_lines(skolem_N7979, M38_587_8)
% 293.41/42.82 -> [17541] left_convergent_lines(skolem_N7979, reverse_line(M38_587_8))
% 293.41/42.82
% 293.41/42.82 [17540] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [18495] ~(left_apart_point(A39_1229_9, L40_1229_9) | left_apart_point(A39_1229_9, reverse_line(L40_1229_9)))
% 293.41/42.82
% 293.41/42.82 [18495] ALPHA_NOT_OR : ~(left_apart_point(A39_1229_9, L40_1229_9) | left_apart_point(A39_1229_9, reverse_line(L40_1229_9)))
% 293.41/42.82 -> [18497] ~left_apart_point(A39_1229_9, L40_1229_9), ~left_apart_point(A39_1229_9, reverse_line(L40_1229_9))
% 293.41/42.82
% 293.41/42.82 [18497] CLOSURE : ~left_apart_point(A39_1229_9, L40_1229_9)
% 293.41/42.82
% 293.41/42.82 [17541] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [21543] ~(left_apart_point(A39_1601_9, L40_1601_9) | left_apart_point(A39_1601_9, reverse_line(L40_1601_9)))
% 293.41/42.82
% 293.41/42.82 [21543] ALPHA_NOT_OR : ~(left_apart_point(A39_1601_9, L40_1601_9) | left_apart_point(A39_1601_9, reverse_line(L40_1601_9)))
% 293.41/42.82 -> [21544] ~left_apart_point(A39_1601_9, L40_1601_9), ~left_apart_point(A39_1601_9, reverse_line(L40_1601_9))
% 293.41/42.82
% 293.41/42.82 [21544] CLOSURE : ~left_apart_point(A39_1601_9, L40_1601_9)
% 293.41/42.82
% 293.41/42.82 [17433] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [21135] ((unequally_directed_lines(skolem_N7979, M38_808_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_808_8))) => (left_convergent_lines(skolem_N7979, M38_808_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_808_8))))
% 293.41/42.82
% 293.41/42.82 [21135] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_808_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_808_8))) => (left_convergent_lines(skolem_N7979, M38_808_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_808_8))))
% 293.41/42.82 -> [21136] ~(unequally_directed_lines(skolem_N7979, M38_808_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_808_8)))
% 293.41/42.82 -> [21137] (left_convergent_lines(skolem_N7979, M38_808_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_808_8)))
% 293.41/42.82
% 293.41/42.82 [21136] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_808_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_808_8)))
% 293.41/42.82 -> [21226] ~unequally_directed_lines(skolem_N7979, M38_808_8)
% 293.41/42.82 -> [21227] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_808_8))
% 293.41/42.82
% 293.41/42.82 [21227] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_808_8))
% 293.41/42.82
% 293.41/42.82 [21226] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_808_8)
% 293.41/42.82
% 293.41/42.82 [21137] BETA_OR : (left_convergent_lines(skolem_N7979, M38_808_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_808_8)))
% 293.41/42.82 -> [21142] left_convergent_lines(skolem_N7979, M38_808_8)
% 293.41/42.82 -> [21143] left_convergent_lines(skolem_N7979, reverse_line(M38_808_8))
% 293.41/42.82
% 293.41/42.82 [21142] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [21719] ~(left_apart_point(A39_1630_9, L40_1630_9) | left_apart_point(A39_1630_9, reverse_line(L40_1630_9)))
% 293.41/42.82
% 293.41/42.82 [21719] ALPHA_NOT_OR : ~(left_apart_point(A39_1630_9, L40_1630_9) | left_apart_point(A39_1630_9, reverse_line(L40_1630_9)))
% 293.41/42.82 -> [21723] ~left_apart_point(A39_1630_9, L40_1630_9), ~left_apart_point(A39_1630_9, reverse_line(L40_1630_9))
% 293.41/42.82
% 293.41/42.82 [21723] CLOSURE : ~left_apart_point(A39_1630_9, L40_1630_9)
% 293.41/42.82
% 293.41/42.82 [21143] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [21548] ~(left_apart_point(A39_1602_9, L40_1602_9) | left_apart_point(A39_1602_9, reverse_line(L40_1602_9)))
% 293.41/42.82
% 293.41/42.82 [21548] ALPHA_NOT_OR : ~(left_apart_point(A39_1602_9, L40_1602_9) | left_apart_point(A39_1602_9, reverse_line(L40_1602_9)))
% 293.41/42.82 -> [21552] ~left_apart_point(A39_1602_9, L40_1602_9), ~left_apart_point(A39_1602_9, reverse_line(L40_1602_9))
% 293.41/42.82
% 293.41/42.82 [21552] CLOSURE : ~left_apart_point(A39_1602_9, L40_1602_9)
% 293.41/42.82
% 293.41/42.82 [822] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.41/42.82 -> [919] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.82
% 293.41/42.82 [919] 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))))
% 293.41/42.82 -> [1633] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.41/42.82
% 293.41/42.82 [1633] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.41/42.82 -> [1638] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.82 -> [1639] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.41/42.82
% 293.41/42.82 [1638] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.82
% 293.41/42.82 [1639] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.41/42.82 -> [4895] distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.82 -> [4896] distinct_points(skolem_C8282, skolem_B8181)
% 293.41/42.82
% 293.41/42.82 [4895] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.82
% 293.41/42.82 [4896] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.41/42.82 -> [5247] ~distinct_lines(N27_147_3, N27_147_3)
% 293.41/42.82
% 293.41/42.82 [5247] 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))))
% 293.41/42.82 -> [5365] (distinct_lines(N27_147_3, N27_147_3) => (distinct_lines(N27_147_3, N27_147_3) | distinct_lines(N27_147_3, N27_147_3)))
% 293.41/42.82
% 293.41/42.82 [5365] BETA_IMPLY : (distinct_lines(N27_147_3, N27_147_3) => (distinct_lines(N27_147_3, N27_147_3) | distinct_lines(N27_147_3, N27_147_3)))
% 293.41/42.82 -> [5367] ~distinct_lines(N27_147_3, N27_147_3)
% 293.41/42.82 -> [5368] (distinct_lines(N27_147_3, N27_147_3) | distinct_lines(N27_147_3, N27_147_3))
% 293.41/42.82
% 293.41/42.82 [5368] BETA_OR : (distinct_lines(N27_147_3, N27_147_3) | distinct_lines(N27_147_3, N27_147_3))
% 293.41/42.82 -> [5369] distinct_lines(N27_147_3, N27_147_3)
% 293.41/42.82 -> [5370] distinct_lines(N27_147_3, N27_147_3)
% 293.41/42.82
% 293.41/42.82 [5370] CLOSURE : distinct_lines(N27_147_3, N27_147_3)
% 293.41/42.82
% 293.41/42.82 [5369] CLOSURE : distinct_lines(N27_147_3, N27_147_3)
% 293.41/42.82
% 293.41/42.82 [5367] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.41/42.82 -> [5516] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [5516] 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))))
% 293.41/42.82 -> [5549] (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))))
% 293.41/42.82
% 293.41/42.82 [5549] 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))))
% 293.41/42.82 -> [5551] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82 -> [5552] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.41/42.82
% 293.41/42.82 [5551] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [5552] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.41/42.82 -> [12399] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82 -> [12400] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [12400] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [12399] 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))))))
% 293.41/42.82 -> [23019] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_267_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_267_6))) | (unequally_directed_lines(skolem_N7979, N34_267_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_267_6)))))
% 293.41/42.82
% 293.41/42.82 [23019] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_267_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_267_6))) | (unequally_directed_lines(skolem_N7979, N34_267_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_267_6)))))
% 293.41/42.82 -> [23022] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [23023] ((unequally_directed_lines(skolem_M7878, N34_267_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_267_6))) | (unequally_directed_lines(skolem_N7979, N34_267_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_267_6))))
% 293.41/42.82
% 293.41/42.82 [23022] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [23081] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82 -> [23082] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [23081] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82
% 293.41/42.82 [23082] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [23023] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_267_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_267_6))) | (unequally_directed_lines(skolem_N7979, N34_267_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_267_6))))
% 293.41/42.82 -> [24080] (unequally_directed_lines(skolem_M7878, N34_267_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_267_6)))
% 293.41/42.82 -> [24081] (unequally_directed_lines(skolem_N7979, N34_267_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_267_6)))
% 293.41/42.82
% 293.41/42.82 [24080] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_267_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_267_6)))
% 293.41/42.82 -> [24087] unequally_directed_lines(skolem_M7878, N34_267_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_267_6))
% 293.41/42.82
% 293.41/42.82 [24087] 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)))))
% 293.41/42.82 -> [24120] ((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)))))
% 293.41/42.82
% 293.41/42.82 [24120] 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)))))
% 293.41/42.82 -> [24121] ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.41/42.82 -> [24122] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 293.41/42.82
% 293.41/42.82 [24122] 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))))
% 293.41/42.82 -> [24125] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.41/42.82 -> [24126] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.41/42.82
% 293.41/42.82 [24125] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.41/42.82
% 293.41/42.82 [24126] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [24405] ((unequally_directed_lines(skolem_M7878, M38_1030_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1030_8))) => (left_convergent_lines(skolem_M7878, M38_1030_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1030_8))))
% 293.41/42.82
% 293.41/42.82 [24405] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_1030_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1030_8))) => (left_convergent_lines(skolem_M7878, M38_1030_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1030_8))))
% 293.41/42.82 -> [24406] ~(unequally_directed_lines(skolem_M7878, M38_1030_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1030_8)))
% 293.41/42.82 -> [24407] (left_convergent_lines(skolem_M7878, M38_1030_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1030_8)))
% 293.41/42.82
% 293.41/42.82 [24406] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_1030_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1030_8)))
% 293.41/42.82 -> [24420] ~unequally_directed_lines(skolem_M7878, M38_1030_8)
% 293.41/42.82 -> [24421] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_1030_8))
% 293.41/42.82
% 293.41/42.82 [24421] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_1030_8))
% 293.41/42.82
% 293.41/42.82 [24420] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_1030_8)
% 293.41/42.82
% 293.41/42.82 [24407] BETA_OR : (left_convergent_lines(skolem_M7878, M38_1030_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1030_8)))
% 293.41/42.82 -> [24412] left_convergent_lines(skolem_M7878, M38_1030_8)
% 293.41/42.82 -> [24413] left_convergent_lines(skolem_M7878, reverse_line(M38_1030_8))
% 293.41/42.82
% 293.41/42.82 [24413] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [24431] ~(left_apart_point(A39_2028_9, L40_2028_9) | left_apart_point(A39_2028_9, reverse_line(L40_2028_9)))
% 293.41/42.82
% 293.41/42.82 [24431] ALPHA_NOT_OR : ~(left_apart_point(A39_2028_9, L40_2028_9) | left_apart_point(A39_2028_9, reverse_line(L40_2028_9)))
% 293.41/42.82 -> [24433] ~left_apart_point(A39_2028_9, L40_2028_9), ~left_apart_point(A39_2028_9, reverse_line(L40_2028_9))
% 293.41/42.82
% 293.41/42.82 [24433] CLOSURE : ~left_apart_point(A39_2028_9, L40_2028_9)
% 293.41/42.82
% 293.41/42.82 [24412] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [24435] ~(left_apart_point(A39_2029_9, L40_2029_9) | left_apart_point(A39_2029_9, reverse_line(L40_2029_9)))
% 293.41/42.82
% 293.41/42.82 [24435] ALPHA_NOT_OR : ~(left_apart_point(A39_2029_9, L40_2029_9) | left_apart_point(A39_2029_9, reverse_line(L40_2029_9)))
% 293.41/42.82 -> [24438] ~left_apart_point(A39_2029_9, L40_2029_9), ~left_apart_point(A39_2029_9, reverse_line(L40_2029_9))
% 293.41/42.82
% 293.41/42.82 [24438] CLOSURE : ~left_apart_point(A39_2029_9, L40_2029_9)
% 293.41/42.82
% 293.41/42.82 [24121] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.41/42.82 -> [24146] ~line(skolem_L7777)
% 293.41/42.82 -> [24147] ~line(line_connecting(skolem_B8181, skolem_C8282))
% 293.41/42.82
% 293.41/42.82 [24146] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [24205] ((unequally_directed_lines(skolem_M7878, M38_1020_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1020_8))) => (left_convergent_lines(skolem_M7878, M38_1020_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1020_8))))
% 293.41/42.82
% 293.41/42.82 [24205] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_1020_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1020_8))) => (left_convergent_lines(skolem_M7878, M38_1020_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1020_8))))
% 293.41/42.82 -> [24207] ~(unequally_directed_lines(skolem_M7878, M38_1020_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1020_8)))
% 293.41/42.82 -> [24208] (left_convergent_lines(skolem_M7878, M38_1020_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1020_8)))
% 293.41/42.82
% 293.41/42.82 [24208] BETA_OR : (left_convergent_lines(skolem_M7878, M38_1020_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1020_8)))
% 293.41/42.82 -> [24212] left_convergent_lines(skolem_M7878, M38_1020_8)
% 293.41/42.82 -> [24213] left_convergent_lines(skolem_M7878, reverse_line(M38_1020_8))
% 293.41/42.82
% 293.41/42.82 [24213] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [24276] ~(left_apart_point(A39_2008_9, L40_2008_9) | left_apart_point(A39_2008_9, reverse_line(L40_2008_9)))
% 293.41/42.82
% 293.41/42.82 [24276] ALPHA_NOT_OR : ~(left_apart_point(A39_2008_9, L40_2008_9) | left_apart_point(A39_2008_9, reverse_line(L40_2008_9)))
% 293.41/42.82 -> [24279] ~left_apart_point(A39_2008_9, L40_2008_9), ~left_apart_point(A39_2008_9, reverse_line(L40_2008_9))
% 293.41/42.82
% 293.41/42.82 [24279] CLOSURE : ~left_apart_point(A39_2008_9, L40_2008_9)
% 293.41/42.82
% 293.41/42.82 [24212] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [24286] ~(left_apart_point(A39_2011_9, L40_2011_9) | left_apart_point(A39_2011_9, reverse_line(L40_2011_9)))
% 293.41/42.82
% 293.41/42.82 [24286] ALPHA_NOT_OR : ~(left_apart_point(A39_2011_9, L40_2011_9) | left_apart_point(A39_2011_9, reverse_line(L40_2011_9)))
% 293.41/42.82 -> [24288] ~left_apart_point(A39_2011_9, L40_2011_9), ~left_apart_point(A39_2011_9, reverse_line(L40_2011_9))
% 293.41/42.82
% 293.41/42.82 [24288] CLOSURE : ~left_apart_point(A39_2011_9, L40_2011_9)
% 293.41/42.82
% 293.41/42.82 [24207] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_1020_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1020_8)))
% 293.41/42.82 -> [24234] ~unequally_directed_lines(skolem_M7878, M38_1020_8)
% 293.41/42.82 -> [24235] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_1020_8))
% 293.41/42.82
% 293.41/42.82 [24235] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_1020_8))
% 293.41/42.82
% 293.41/42.82 [24234] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_1020_8)
% 293.41/42.82
% 293.41/42.82 [24147] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [24182] ((unequally_directed_lines(skolem_M7878, M38_1017_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1017_8))) => (left_convergent_lines(skolem_M7878, M38_1017_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1017_8))))
% 293.41/42.82
% 293.41/42.82 [24182] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_1017_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1017_8))) => (left_convergent_lines(skolem_M7878, M38_1017_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1017_8))))
% 293.41/42.82 -> [24186] ~(unequally_directed_lines(skolem_M7878, M38_1017_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1017_8)))
% 293.41/42.82 -> [24187] (left_convergent_lines(skolem_M7878, M38_1017_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1017_8)))
% 293.41/42.82
% 293.41/42.82 [24187] BETA_OR : (left_convergent_lines(skolem_M7878, M38_1017_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1017_8)))
% 293.41/42.82 -> [24193] left_convergent_lines(skolem_M7878, M38_1017_8)
% 293.41/42.82 -> [24194] left_convergent_lines(skolem_M7878, reverse_line(M38_1017_8))
% 293.41/42.82
% 293.41/42.82 [24193] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [24463] ~(left_apart_point(A39_2032_9, L40_2032_9) | left_apart_point(A39_2032_9, reverse_line(L40_2032_9)))
% 293.41/42.82
% 293.41/42.82 [24463] ALPHA_NOT_OR : ~(left_apart_point(A39_2032_9, L40_2032_9) | left_apart_point(A39_2032_9, reverse_line(L40_2032_9)))
% 293.41/42.82 -> [24466] ~left_apart_point(A39_2032_9, L40_2032_9), ~left_apart_point(A39_2032_9, reverse_line(L40_2032_9))
% 293.41/42.82
% 293.41/42.82 [24466] CLOSURE : ~left_apart_point(A39_2032_9, L40_2032_9)
% 293.41/42.82
% 293.41/42.82 [24194] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [25222] ~(left_apart_point(A39_2136_9, L40_2136_9) | left_apart_point(A39_2136_9, reverse_line(L40_2136_9)))
% 293.41/42.82
% 293.41/42.82 [25222] ALPHA_NOT_OR : ~(left_apart_point(A39_2136_9, L40_2136_9) | left_apart_point(A39_2136_9, reverse_line(L40_2136_9)))
% 293.41/42.82 -> [25225] ~left_apart_point(A39_2136_9, L40_2136_9), ~left_apart_point(A39_2136_9, reverse_line(L40_2136_9))
% 293.41/42.82
% 293.41/42.82 [25225] CLOSURE : ~left_apart_point(A39_2136_9, L40_2136_9)
% 293.41/42.82
% 293.41/42.82 [24186] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_1017_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1017_8)))
% 293.41/42.82 -> [24222] ~unequally_directed_lines(skolem_M7878, M38_1017_8)
% 293.41/42.82 -> [24223] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_1017_8))
% 293.41/42.82
% 293.41/42.82 [24223] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_1017_8))
% 293.41/42.82
% 293.41/42.82 [24222] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_1017_8)
% 293.41/42.82
% 293.41/42.82 [24081] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_267_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_267_6)))
% 293.41/42.82 -> [24083] unequally_directed_lines(skolem_N7979, N34_267_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_267_6))
% 293.41/42.82
% 293.41/42.82 [24083] 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)))))
% 293.41/42.82 -> [24113] ((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))))
% 293.41/42.82
% 293.41/42.82 [24113] 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))))
% 293.41/42.82 -> [24116] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.41/42.82 -> [24117] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.41/42.82
% 293.41/42.82 [24116] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.41/42.82 -> [24128] ~line(reverse_line(skolem_N7979))
% 293.41/42.82 -> [24129] ~line(skolem_N7979)
% 293.41/42.82
% 293.41/42.82 [24129] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [24177] ((unequally_directed_lines(skolem_N7979, M38_1016_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1016_8))) => (left_convergent_lines(skolem_N7979, M38_1016_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1016_8))))
% 293.41/42.82
% 293.41/42.82 [24177] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1016_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1016_8))) => (left_convergent_lines(skolem_N7979, M38_1016_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1016_8))))
% 293.41/42.82 -> [24178] ~(unequally_directed_lines(skolem_N7979, M38_1016_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1016_8)))
% 293.41/42.82 -> [24179] (left_convergent_lines(skolem_N7979, M38_1016_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1016_8)))
% 293.41/42.82
% 293.41/42.82 [24178] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1016_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1016_8)))
% 293.41/42.82 -> [24210] ~unequally_directed_lines(skolem_N7979, M38_1016_8)
% 293.41/42.82 -> [24211] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1016_8))
% 293.41/42.82
% 293.41/42.82 [24211] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1016_8))
% 293.41/42.82
% 293.41/42.82 [24210] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1016_8)
% 293.41/42.82
% 293.41/42.82 [24179] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1016_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1016_8)))
% 293.41/42.82 -> [24183] left_convergent_lines(skolem_N7979, M38_1016_8)
% 293.41/42.82 -> [24184] left_convergent_lines(skolem_N7979, reverse_line(M38_1016_8))
% 293.41/42.82
% 293.41/42.82 [24183] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [24380] ~(left_apart_point(A39_2022_9, L40_2022_9) | left_apart_point(A39_2022_9, reverse_line(L40_2022_9)))
% 293.41/42.82
% 293.41/42.82 [24380] ALPHA_NOT_OR : ~(left_apart_point(A39_2022_9, L40_2022_9) | left_apart_point(A39_2022_9, reverse_line(L40_2022_9)))
% 293.41/42.82 -> [24384] ~left_apart_point(A39_2022_9, L40_2022_9), ~left_apart_point(A39_2022_9, reverse_line(L40_2022_9))
% 293.41/42.82
% 293.41/42.82 [24384] CLOSURE : ~left_apart_point(A39_2022_9, L40_2022_9)
% 293.41/42.82
% 293.41/42.82 [24184] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [24257] ~(left_apart_point(A39_2004_9, L40_2004_9) | left_apart_point(A39_2004_9, reverse_line(L40_2004_9)))
% 293.41/42.82
% 293.41/42.82 [24257] ALPHA_NOT_OR : ~(left_apart_point(A39_2004_9, L40_2004_9) | left_apart_point(A39_2004_9, reverse_line(L40_2004_9)))
% 293.41/42.82 -> [24258] ~left_apart_point(A39_2004_9, L40_2004_9), ~left_apart_point(A39_2004_9, reverse_line(L40_2004_9))
% 293.41/42.82
% 293.41/42.82 [24258] CLOSURE : ~left_apart_point(A39_2004_9, L40_2004_9)
% 293.41/42.82
% 293.41/42.82 [24128] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [24198] ((unequally_directed_lines(skolem_N7979, M38_1019_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1019_8))) => (left_convergent_lines(skolem_N7979, M38_1019_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1019_8))))
% 293.41/42.82
% 293.41/42.82 [24198] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1019_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1019_8))) => (left_convergent_lines(skolem_N7979, M38_1019_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1019_8))))
% 293.41/42.82 -> [24200] ~(unequally_directed_lines(skolem_N7979, M38_1019_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1019_8)))
% 293.41/42.82 -> [24201] (left_convergent_lines(skolem_N7979, M38_1019_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1019_8)))
% 293.41/42.82
% 293.41/42.82 [24201] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1019_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1019_8)))
% 293.41/42.82 -> [24203] left_convergent_lines(skolem_N7979, M38_1019_8)
% 293.41/42.82 -> [24204] left_convergent_lines(skolem_N7979, reverse_line(M38_1019_8))
% 293.41/42.82
% 293.41/42.82 [24204] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [24340] ~(left_apart_point(A39_2018_9, L40_2018_9) | left_apart_point(A39_2018_9, reverse_line(L40_2018_9)))
% 293.41/42.82
% 293.41/42.82 [24340] ALPHA_NOT_OR : ~(left_apart_point(A39_2018_9, L40_2018_9) | left_apart_point(A39_2018_9, reverse_line(L40_2018_9)))
% 293.41/42.82 -> [24342] ~left_apart_point(A39_2018_9, L40_2018_9), ~left_apart_point(A39_2018_9, reverse_line(L40_2018_9))
% 293.41/42.82
% 293.41/42.82 [24342] CLOSURE : ~left_apart_point(A39_2018_9, L40_2018_9)
% 293.41/42.82
% 293.41/42.82 [24203] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [24345] ~(left_apart_point(A39_2019_9, L40_2019_9) | left_apart_point(A39_2019_9, reverse_line(L40_2019_9)))
% 293.41/42.82
% 293.41/42.82 [24345] ALPHA_NOT_OR : ~(left_apart_point(A39_2019_9, L40_2019_9) | left_apart_point(A39_2019_9, reverse_line(L40_2019_9)))
% 293.41/42.82 -> [24346] ~left_apart_point(A39_2019_9, L40_2019_9), ~left_apart_point(A39_2019_9, reverse_line(L40_2019_9))
% 293.41/42.82
% 293.41/42.82 [24346] CLOSURE : ~left_apart_point(A39_2019_9, L40_2019_9)
% 293.41/42.82
% 293.41/42.82 [24200] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1019_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1019_8)))
% 293.41/42.82 -> [24229] ~unequally_directed_lines(skolem_N7979, M38_1019_8)
% 293.41/42.82 -> [24230] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1019_8))
% 293.41/42.82
% 293.41/42.82 [24230] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1019_8))
% 293.41/42.82
% 293.41/42.82 [24229] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1019_8)
% 293.41/42.82
% 293.41/42.82 [24117] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.41/42.82 -> [24118] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 293.41/42.82 -> [24119] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [24119] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [24118] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [25386] ((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))))
% 293.41/42.82
% 293.41/42.82 [25386] 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))))
% 293.41/42.82 -> [25389] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [25390] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82
% 293.41/42.82 [25389] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [25401] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82 -> [25402] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [25402] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [25401] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82
% 293.41/42.82 [25390] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [25395] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82 -> [25396] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [25395] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [25687] ~(left_apart_point(A39_2216_9, L40_2216_9) | left_apart_point(A39_2216_9, reverse_line(L40_2216_9)))
% 293.41/42.82
% 293.41/42.82 [25687] ALPHA_NOT_OR : ~(left_apart_point(A39_2216_9, L40_2216_9) | left_apart_point(A39_2216_9, reverse_line(L40_2216_9)))
% 293.41/42.82 -> [25688] ~left_apart_point(A39_2216_9, L40_2216_9), ~left_apart_point(A39_2216_9, reverse_line(L40_2216_9))
% 293.41/42.82
% 293.41/42.82 [25688] CLOSURE : ~left_apart_point(A39_2216_9, L40_2216_9)
% 293.41/42.82
% 293.41/42.82 [25396] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [25730] ~(left_apart_point(A39_2225_9, L40_2225_9) | left_apart_point(A39_2225_9, reverse_line(L40_2225_9)))
% 293.41/42.82
% 293.41/42.82 [25730] ALPHA_NOT_OR : ~(left_apart_point(A39_2225_9, L40_2225_9) | left_apart_point(A39_2225_9, reverse_line(L40_2225_9)))
% 293.41/42.82 -> [25731] ~left_apart_point(A39_2225_9, L40_2225_9), ~left_apart_point(A39_2225_9, reverse_line(L40_2225_9))
% 293.41/42.82
% 293.41/42.82 [25731] CLOSURE : ~left_apart_point(A39_2225_9, L40_2225_9)
% 293.41/42.82
% 293.41/42.82 [814] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.41/42.82 -> [2200] ~distinct_points(skolem_C8282, skolem_C8282)
% 293.41/42.82
% 293.41/42.82 [2200] 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))))
% 293.41/42.82 -> [2296] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.41/42.82
% 293.41/42.82 [2296] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.41/42.82 -> [2297] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.82 -> [2298] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.41/42.82
% 293.41/42.82 [2297] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.82
% 293.41/42.82 [2298] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.41/42.82 -> [5277] distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.82 -> [5278] distinct_points(skolem_C8282, skolem_C8282)
% 293.41/42.82
% 293.41/42.82 [5278] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 293.41/42.82
% 293.41/42.82 [5277] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.41/42.82 -> [6791] ~distinct_lines(N27_227_3, N27_227_3)
% 293.41/42.82
% 293.41/42.82 [6791] 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))))
% 293.41/42.82 -> [7056] (distinct_lines(N27_227_3, N27_227_3) => (distinct_lines(N27_227_3, N27_227_3) | distinct_lines(N27_227_3, N27_227_3)))
% 293.41/42.82
% 293.41/42.82 [7056] BETA_IMPLY : (distinct_lines(N27_227_3, N27_227_3) => (distinct_lines(N27_227_3, N27_227_3) | distinct_lines(N27_227_3, N27_227_3)))
% 293.41/42.82 -> [7057] ~distinct_lines(N27_227_3, N27_227_3)
% 293.41/42.82 -> [7058] (distinct_lines(N27_227_3, N27_227_3) | distinct_lines(N27_227_3, N27_227_3))
% 293.41/42.82
% 293.41/42.82 [7058] BETA_OR : (distinct_lines(N27_227_3, N27_227_3) | distinct_lines(N27_227_3, N27_227_3))
% 293.41/42.82 -> [7059] distinct_lines(N27_227_3, N27_227_3)
% 293.41/42.82 -> [7060] distinct_lines(N27_227_3, N27_227_3)
% 293.41/42.82
% 293.41/42.82 [7059] CLOSURE : distinct_lines(N27_227_3, N27_227_3)
% 293.41/42.82
% 293.41/42.82 [7060] CLOSURE : distinct_lines(N27_227_3, N27_227_3)
% 293.41/42.82
% 293.41/42.82 [7057] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.41/42.82 -> [7543] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [7543] 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))))
% 293.41/42.82 -> [7816] (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))))
% 293.41/42.82
% 293.41/42.82 [7816] 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))))
% 293.41/42.82 -> [7818] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82 -> [7819] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.41/42.82
% 293.41/42.82 [7818] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [7819] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.41/42.82 -> [16169] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82 -> [16170] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [16170] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [16169] 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))))))
% 293.41/42.82 -> [24762] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_269_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_269_6))) | (unequally_directed_lines(skolem_N7979, N34_269_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_269_6)))))
% 293.41/42.82
% 293.41/42.82 [24762] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_269_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_269_6))) | (unequally_directed_lines(skolem_N7979, N34_269_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_269_6)))))
% 293.41/42.82 -> [24765] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [24766] ((unequally_directed_lines(skolem_M7878, N34_269_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_269_6))) | (unequally_directed_lines(skolem_N7979, N34_269_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_269_6))))
% 293.41/42.82
% 293.41/42.82 [24765] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [24783] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82 -> [24784] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [24784] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [24783] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82
% 293.41/42.82 [24766] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_269_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_269_6))) | (unequally_directed_lines(skolem_N7979, N34_269_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_269_6))))
% 293.41/42.82 -> [25088] (unequally_directed_lines(skolem_M7878, N34_269_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_269_6)))
% 293.41/42.82 -> [25089] (unequally_directed_lines(skolem_N7979, N34_269_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_269_6)))
% 293.41/42.82
% 293.41/42.82 [25088] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_269_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_269_6)))
% 293.41/42.82 -> [25093] unequally_directed_lines(skolem_M7878, N34_269_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_269_6))
% 293.41/42.82
% 293.41/42.82 [25093] 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)))))
% 293.41/42.82 -> [25104] ((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)))))
% 293.41/42.82
% 293.41/42.82 [25104] 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)))))
% 293.41/42.82 -> [25105] ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.41/42.82 -> [25106] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))
% 293.41/42.82
% 293.41/42.82 [25106] 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))))
% 293.41/42.82 -> [25113] unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.41/42.82 -> [25114] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.41/42.82
% 293.41/42.82 [25113] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.41/42.82
% 293.41/42.82 [25114] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [25752] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.82
% 293.41/42.82 [25752] 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))))
% 293.41/42.82 -> [25756] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [25757] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82
% 293.41/42.82 [25757] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [25761] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82 -> [25762] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [25762] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [25785] ~(left_apart_point(A39_2229_9, L40_2229_9) | left_apart_point(A39_2229_9, reverse_line(L40_2229_9)))
% 293.41/42.82
% 293.41/42.82 [25785] ALPHA_NOT_OR : ~(left_apart_point(A39_2229_9, L40_2229_9) | left_apart_point(A39_2229_9, reverse_line(L40_2229_9)))
% 293.41/42.82 -> [25787] ~left_apart_point(A39_2229_9, L40_2229_9), ~left_apart_point(A39_2229_9, reverse_line(L40_2229_9))
% 293.41/42.82
% 293.41/42.82 [25787] CLOSURE : ~left_apart_point(A39_2229_9, L40_2229_9)
% 293.41/42.82
% 293.41/42.82 [25761] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [25796] ~(left_apart_point(A39_2231_9, L40_2231_9) | left_apart_point(A39_2231_9, reverse_line(L40_2231_9)))
% 293.41/42.82
% 293.41/42.82 [25796] ALPHA_NOT_OR : ~(left_apart_point(A39_2231_9, L40_2231_9) | left_apart_point(A39_2231_9, reverse_line(L40_2231_9)))
% 293.41/42.82 -> [25798] ~left_apart_point(A39_2231_9, L40_2231_9), ~left_apart_point(A39_2231_9, reverse_line(L40_2231_9))
% 293.41/42.82
% 293.41/42.82 [25798] CLOSURE : ~left_apart_point(A39_2231_9, L40_2231_9)
% 293.41/42.82
% 293.41/42.82 [25756] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [25765] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82 -> [25766] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [25766] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [25765] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82
% 293.41/42.82 [25105] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.41/42.82 -> [25123] ~line(skolem_L7777)
% 293.41/42.82 -> [25124] ~line(line_connecting(skolem_A8080, skolem_B8181))
% 293.41/42.82
% 293.41/42.82 [25124] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [25153] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.82
% 293.41/42.82 [25153] 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))))
% 293.41/42.82 -> [25156] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [25157] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82
% 293.41/42.82 [25157] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [25160] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82 -> [25161] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [25161] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [25535] ~(left_apart_point(A39_2188_9, L40_2188_9) | left_apart_point(A39_2188_9, reverse_line(L40_2188_9)))
% 293.41/42.82
% 293.41/42.82 [25535] ALPHA_NOT_OR : ~(left_apart_point(A39_2188_9, L40_2188_9) | left_apart_point(A39_2188_9, reverse_line(L40_2188_9)))
% 293.41/42.82 -> [25536] ~left_apart_point(A39_2188_9, L40_2188_9), ~left_apart_point(A39_2188_9, reverse_line(L40_2188_9))
% 293.41/42.82
% 293.41/42.82 [25536] CLOSURE : ~left_apart_point(A39_2188_9, L40_2188_9)
% 293.41/42.82
% 293.41/42.82 [25160] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [25546] ~(left_apart_point(A39_2189_9, L40_2189_9) | left_apart_point(A39_2189_9, reverse_line(L40_2189_9)))
% 293.41/42.82
% 293.41/42.82 [25546] ALPHA_NOT_OR : ~(left_apart_point(A39_2189_9, L40_2189_9) | left_apart_point(A39_2189_9, reverse_line(L40_2189_9)))
% 293.41/42.82 -> [25547] ~left_apart_point(A39_2189_9, L40_2189_9), ~left_apart_point(A39_2189_9, reverse_line(L40_2189_9))
% 293.41/42.82
% 293.41/42.82 [25547] CLOSURE : ~left_apart_point(A39_2189_9, L40_2189_9)
% 293.41/42.82
% 293.41/42.82 [25156] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.82 -> [25187] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82 -> [25188] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [25188] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.82
% 293.41/42.82 [25187] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.82
% 293.41/42.82 [25123] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [25165] ((unequally_directed_lines(skolem_M7878, M38_1085_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1085_8))) => (left_convergent_lines(skolem_M7878, M38_1085_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1085_8))))
% 293.41/42.82
% 293.41/42.82 [25165] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_1085_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1085_8))) => (left_convergent_lines(skolem_M7878, M38_1085_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1085_8))))
% 293.41/42.82 -> [25170] ~(unequally_directed_lines(skolem_M7878, M38_1085_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1085_8)))
% 293.41/42.82 -> [25171] (left_convergent_lines(skolem_M7878, M38_1085_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1085_8)))
% 293.41/42.82
% 293.41/42.82 [25171] BETA_OR : (left_convergent_lines(skolem_M7878, M38_1085_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1085_8)))
% 293.41/42.82 -> [25182] left_convergent_lines(skolem_M7878, M38_1085_8)
% 293.41/42.82 -> [25183] left_convergent_lines(skolem_M7878, reverse_line(M38_1085_8))
% 293.41/42.82
% 293.41/42.82 [25182] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [25231] ~(left_apart_point(A39_2139_9, L40_2139_9) | left_apart_point(A39_2139_9, reverse_line(L40_2139_9)))
% 293.41/42.82
% 293.41/42.82 [25231] ALPHA_NOT_OR : ~(left_apart_point(A39_2139_9, L40_2139_9) | left_apart_point(A39_2139_9, reverse_line(L40_2139_9)))
% 293.41/42.82 -> [25233] ~left_apart_point(A39_2139_9, L40_2139_9), ~left_apart_point(A39_2139_9, reverse_line(L40_2139_9))
% 293.41/42.82
% 293.41/42.82 [25233] CLOSURE : ~left_apart_point(A39_2139_9, L40_2139_9)
% 293.41/42.82
% 293.41/42.82 [25183] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [25254] ~(left_apart_point(A39_2146_9, L40_2146_9) | left_apart_point(A39_2146_9, reverse_line(L40_2146_9)))
% 293.41/42.82
% 293.41/42.82 [25254] ALPHA_NOT_OR : ~(left_apart_point(A39_2146_9, L40_2146_9) | left_apart_point(A39_2146_9, reverse_line(L40_2146_9)))
% 293.41/42.82 -> [25255] ~left_apart_point(A39_2146_9, L40_2146_9), ~left_apart_point(A39_2146_9, reverse_line(L40_2146_9))
% 293.41/42.82
% 293.41/42.82 [25255] CLOSURE : ~left_apart_point(A39_2146_9, L40_2146_9)
% 293.41/42.82
% 293.41/42.82 [25170] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_1085_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1085_8)))
% 293.41/42.82 -> [25203] ~unequally_directed_lines(skolem_M7878, M38_1085_8)
% 293.41/42.82 -> [25204] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_1085_8))
% 293.41/42.82
% 293.41/42.82 [25204] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_1085_8))
% 293.41/42.82
% 293.41/42.82 [25203] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_1085_8)
% 293.41/42.82
% 293.41/42.82 [25089] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_269_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_269_6)))
% 293.41/42.82 -> [25092] unequally_directed_lines(skolem_N7979, N34_269_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_269_6))
% 293.41/42.82
% 293.41/42.82 [25092] 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)))))
% 293.41/42.82 -> [25138] ((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))))
% 293.41/42.82
% 293.41/42.82 [25138] 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))))
% 293.41/42.82 -> [25143] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.41/42.82 -> [25144] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.41/42.82
% 293.41/42.82 [25143] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.41/42.82 -> [25154] ~line(reverse_line(skolem_N7979))
% 293.41/42.82 -> [25155] ~line(skolem_N7979)
% 293.41/42.82
% 293.41/42.82 [25154] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [25186] ((unequally_directed_lines(skolem_N7979, M38_1088_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1088_8))) => (left_convergent_lines(skolem_N7979, M38_1088_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1088_8))))
% 293.41/42.82
% 293.41/42.82 [25186] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1088_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1088_8))) => (left_convergent_lines(skolem_N7979, M38_1088_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1088_8))))
% 293.41/42.82 -> [25190] ~(unequally_directed_lines(skolem_N7979, M38_1088_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1088_8)))
% 293.41/42.82 -> [25191] (left_convergent_lines(skolem_N7979, M38_1088_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1088_8)))
% 293.41/42.82
% 293.41/42.82 [25191] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1088_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1088_8)))
% 293.41/42.82 -> [25197] left_convergent_lines(skolem_N7979, M38_1088_8)
% 293.41/42.82 -> [25198] left_convergent_lines(skolem_N7979, reverse_line(M38_1088_8))
% 293.41/42.82
% 293.41/42.82 [25198] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [25249] ~(left_apart_point(A39_2144_9, L40_2144_9) | left_apart_point(A39_2144_9, reverse_line(L40_2144_9)))
% 293.41/42.82
% 293.41/42.82 [25249] ALPHA_NOT_OR : ~(left_apart_point(A39_2144_9, L40_2144_9) | left_apart_point(A39_2144_9, reverse_line(L40_2144_9)))
% 293.41/42.82 -> [25250] ~left_apart_point(A39_2144_9, L40_2144_9), ~left_apart_point(A39_2144_9, reverse_line(L40_2144_9))
% 293.41/42.82
% 293.41/42.82 [25250] CLOSURE : ~left_apart_point(A39_2144_9, L40_2144_9)
% 293.41/42.82
% 293.41/42.82 [25197] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [25261] ~(left_apart_point(A39_2148_9, L40_2148_9) | left_apart_point(A39_2148_9, reverse_line(L40_2148_9)))
% 293.41/42.82
% 293.41/42.82 [25261] ALPHA_NOT_OR : ~(left_apart_point(A39_2148_9, L40_2148_9) | left_apart_point(A39_2148_9, reverse_line(L40_2148_9)))
% 293.41/42.82 -> [25263] ~left_apart_point(A39_2148_9, L40_2148_9), ~left_apart_point(A39_2148_9, reverse_line(L40_2148_9))
% 293.41/42.82
% 293.41/42.82 [25263] CLOSURE : ~left_apart_point(A39_2148_9, L40_2148_9)
% 293.41/42.82
% 293.41/42.82 [25190] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1088_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1088_8)))
% 293.41/42.82 -> [25211] ~unequally_directed_lines(skolem_N7979, M38_1088_8)
% 293.41/42.82 -> [25212] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1088_8))
% 293.41/42.82
% 293.41/42.82 [25212] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1088_8))
% 293.41/42.82
% 293.41/42.82 [25211] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1088_8)
% 293.41/42.82
% 293.41/42.82 [25155] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [25169] ((unequally_directed_lines(skolem_N7979, M38_1087_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1087_8))) => (left_convergent_lines(skolem_N7979, M38_1087_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1087_8))))
% 293.41/42.82
% 293.41/42.82 [25169] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1087_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1087_8))) => (left_convergent_lines(skolem_N7979, M38_1087_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1087_8))))
% 293.41/42.82 -> [25174] ~(unequally_directed_lines(skolem_N7979, M38_1087_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1087_8)))
% 293.41/42.82 -> [25175] (left_convergent_lines(skolem_N7979, M38_1087_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1087_8)))
% 293.41/42.82
% 293.41/42.82 [25175] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1087_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1087_8)))
% 293.41/42.82 -> [25178] left_convergent_lines(skolem_N7979, M38_1087_8)
% 293.41/42.82 -> [25179] left_convergent_lines(skolem_N7979, reverse_line(M38_1087_8))
% 293.41/42.82
% 293.41/42.82 [25179] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [25268] ~(left_apart_point(A39_2151_9, L40_2151_9) | left_apart_point(A39_2151_9, reverse_line(L40_2151_9)))
% 293.41/42.82
% 293.41/42.82 [25268] ALPHA_NOT_OR : ~(left_apart_point(A39_2151_9, L40_2151_9) | left_apart_point(A39_2151_9, reverse_line(L40_2151_9)))
% 293.41/42.82 -> [25272] ~left_apart_point(A39_2151_9, L40_2151_9), ~left_apart_point(A39_2151_9, reverse_line(L40_2151_9))
% 293.41/42.82
% 293.41/42.82 [25272] CLOSURE : ~left_apart_point(A39_2151_9, L40_2151_9)
% 293.41/42.82
% 293.41/42.82 [25178] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [25284] ~(left_apart_point(A39_2154_9, L40_2154_9) | left_apart_point(A39_2154_9, reverse_line(L40_2154_9)))
% 293.41/42.82
% 293.41/42.82 [25284] ALPHA_NOT_OR : ~(left_apart_point(A39_2154_9, L40_2154_9) | left_apart_point(A39_2154_9, reverse_line(L40_2154_9)))
% 293.41/42.82 -> [25289] ~left_apart_point(A39_2154_9, L40_2154_9), ~left_apart_point(A39_2154_9, reverse_line(L40_2154_9))
% 293.41/42.82
% 293.41/42.82 [25289] CLOSURE : ~left_apart_point(A39_2154_9, L40_2154_9)
% 293.41/42.82
% 293.41/42.82 [25174] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1087_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1087_8)))
% 293.41/42.82 -> [25227] ~unequally_directed_lines(skolem_N7979, M38_1087_8)
% 293.41/42.82 -> [25228] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1087_8))
% 293.41/42.82
% 293.41/42.82 [25228] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1087_8))
% 293.41/42.82
% 293.41/42.82 [25227] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1087_8)
% 293.41/42.82
% 293.41/42.82 [25144] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.41/42.82 -> [25147] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 293.41/42.82 -> [25148] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [25148] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [25147] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.82 -> [26415] ((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))))
% 293.41/42.82
% 293.41/42.82 [26415] 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))))
% 293.41/42.82 -> [26416] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [26417] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82
% 293.41/42.82 [26416] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [26426] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82 -> [26427] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [26427] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [26426] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82
% 293.41/42.82 [26417] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.82 -> [26422] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.41/42.82 -> [26423] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.82
% 293.41/42.82 [26423] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [26439] ~(left_apart_point(A39_2334_9, L40_2334_9) | left_apart_point(A39_2334_9, reverse_line(L40_2334_9)))
% 293.41/42.82
% 293.41/42.82 [26439] ALPHA_NOT_OR : ~(left_apart_point(A39_2334_9, L40_2334_9) | left_apart_point(A39_2334_9, reverse_line(L40_2334_9)))
% 293.41/42.82 -> [26442] ~left_apart_point(A39_2334_9, L40_2334_9), ~left_apart_point(A39_2334_9, reverse_line(L40_2334_9))
% 293.41/42.82
% 293.41/42.82 [26442] CLOSURE : ~left_apart_point(A39_2334_9, L40_2334_9)
% 293.41/42.82
% 293.41/42.82 [26422] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.82 -> [26472] ~(left_apart_point(A39_2340_9, L40_2340_9) | left_apart_point(A39_2340_9, reverse_line(L40_2340_9)))
% 293.41/42.82
% 293.41/42.82 [26472] ALPHA_NOT_OR : ~(left_apart_point(A39_2340_9, L40_2340_9) | left_apart_point(A39_2340_9, reverse_line(L40_2340_9)))
% 293.41/42.82 -> [26473] ~left_apart_point(A39_2340_9, L40_2340_9), ~left_apart_point(A39_2340_9, reverse_line(L40_2340_9))
% 293.41/42.82
% 293.41/42.82 [26473] CLOSURE : ~left_apart_point(A39_2340_9, L40_2340_9)
% 293.41/42.82
% 293.41/42.82 [160] 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)))
% 293.41/42.82 -> [170] (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)))
% 293.41/42.82
% 293.41/42.82 [170] 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)))
% 293.41/42.82 -> [199] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 293.41/42.82 -> [200] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 293.41/42.83
% 293.41/42.83 [199] 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)))
% 293.41/42.83 -> [417] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 293.41/42.83 -> [418] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 293.41/42.83
% 293.41/42.83 [418] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.41/42.83 -> [752] ~distinct_points(skolem_C8282, skolem_C8282)
% 293.41/42.83
% 293.41/42.83 [752] 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))))
% 293.41/42.83 -> [829] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.41/42.83
% 293.41/42.83 [829] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.41/42.83 -> [834] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.83 -> [835] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.41/42.83
% 293.41/42.83 [834] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.83
% 293.41/42.83 [835] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.41/42.83 -> [1012] distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.83 -> [1013] distinct_points(skolem_C8282, skolem_C8282)
% 293.41/42.83
% 293.41/42.83 [1013] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 293.41/42.83
% 293.41/42.83 [1012] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.41/42.83 -> [2872] ~distinct_lines(N27_32_3, N27_32_3)
% 293.41/42.83
% 293.41/42.83 [2872] 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))))
% 293.41/42.83 -> [2882] (distinct_lines(N27_32_3, N27_32_3) => (distinct_lines(N27_32_3, N27_32_3) | distinct_lines(N27_32_3, N27_32_3)))
% 293.41/42.83
% 293.41/42.83 [2882] 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)))
% 293.41/42.83 -> [2884] ~distinct_lines(N27_32_3, N27_32_3)
% 293.41/42.83 -> [2885] (distinct_lines(N27_32_3, N27_32_3) | distinct_lines(N27_32_3, N27_32_3))
% 293.41/42.83
% 293.41/42.83 [2885] BETA_OR : (distinct_lines(N27_32_3, N27_32_3) | distinct_lines(N27_32_3, N27_32_3))
% 293.41/42.83 -> [2887] distinct_lines(N27_32_3, N27_32_3)
% 293.41/42.83 -> [2888] distinct_lines(N27_32_3, N27_32_3)
% 293.41/42.83
% 293.41/42.83 [2888] CLOSURE : distinct_lines(N27_32_3, N27_32_3)
% 293.41/42.83
% 293.41/42.83 [2887] CLOSURE : distinct_lines(N27_32_3, N27_32_3)
% 293.41/42.83
% 293.41/42.83 [2884] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.41/42.83 -> [2899] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.83
% 293.41/42.83 [2899] 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))))
% 293.41/42.83 -> [2929] (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))))
% 293.41/42.83
% 293.41/42.83 [2929] 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))))
% 293.41/42.83 -> [2930] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.83 -> [2931] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.41/42.83
% 293.41/42.83 [2930] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.83
% 293.41/42.83 [2931] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.41/42.83 -> [3713] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.83 -> [3714] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.83
% 293.41/42.83 [3714] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.83
% 293.41/42.83 [3713] 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))))))
% 293.41/42.83 -> [4856] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_19_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_19_6))) | (unequally_directed_lines(skolem_N7979, N34_19_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_19_6)))))
% 293.41/42.83
% 293.41/42.83 [4856] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_19_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_19_6))) | (unequally_directed_lines(skolem_N7979, N34_19_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_19_6)))))
% 293.41/42.83 -> [4857] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.83 -> [4858] ((unequally_directed_lines(skolem_M7878, N34_19_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_19_6))) | (unequally_directed_lines(skolem_N7979, N34_19_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_19_6))))
% 293.41/42.83
% 293.41/42.83 [4857] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.83 -> [4878] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.83 -> [4879] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.83
% 293.41/42.83 [4879] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.83
% 293.41/42.83 [4878] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.83
% 293.41/42.83 [4858] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_19_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_19_6))) | (unequally_directed_lines(skolem_N7979, N34_19_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_19_6))))
% 293.41/42.83 -> [8349] (unequally_directed_lines(skolem_M7878, N34_19_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_19_6)))
% 293.41/42.83 -> [8350] (unequally_directed_lines(skolem_N7979, N34_19_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_19_6)))
% 293.41/42.83
% 293.41/42.83 [8350] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_19_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_19_6)))
% 293.41/42.83 -> [8358] unequally_directed_lines(skolem_N7979, N34_19_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_19_6))
% 293.41/42.83
% 293.41/42.83 [8358] 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)))))
% 293.41/42.83 -> [8597] ((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)))))
% 293.41/42.83
% 293.41/42.83 [8597] 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)))))
% 293.41/42.83 -> [8599] ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.41/42.83 -> [8600] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 293.41/42.83
% 293.41/42.83 [8599] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.41/42.83 -> [8632] ~line(skolem_L7777)
% 293.41/42.83 -> [8633] ~line(line_connecting(skolem_B8181, skolem_C8282))
% 293.41/42.83
% 293.41/42.83 [8633] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.83 -> [8748] ((unequally_directed_lines(skolem_N7979, M38_102_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_102_8))) => (left_convergent_lines(skolem_N7979, M38_102_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_102_8))))
% 293.41/42.83
% 293.41/42.83 [8748] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_102_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_102_8))) => (left_convergent_lines(skolem_N7979, M38_102_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_102_8))))
% 293.41/42.83 -> [8749] ~(unequally_directed_lines(skolem_N7979, M38_102_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_102_8)))
% 293.41/42.83 -> [8750] (left_convergent_lines(skolem_N7979, M38_102_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_102_8)))
% 293.41/42.83
% 293.41/42.83 [8749] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_102_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_102_8)))
% 293.41/42.83 -> [8793] ~unequally_directed_lines(skolem_N7979, M38_102_8)
% 293.41/42.83 -> [8794] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_102_8))
% 293.41/42.83
% 293.41/42.83 [8794] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_102_8))
% 293.41/42.83
% 293.41/42.83 [8793] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_102_8)
% 293.41/42.83
% 293.41/42.83 [8750] BETA_OR : (left_convergent_lines(skolem_N7979, M38_102_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_102_8)))
% 293.41/42.83 -> [8752] left_convergent_lines(skolem_N7979, M38_102_8)
% 293.41/42.83 -> [8753] left_convergent_lines(skolem_N7979, reverse_line(M38_102_8))
% 293.41/42.83
% 293.41/42.83 [8753] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.83 -> [8988] ~(left_apart_point(A39_191_9, L40_191_9) | left_apart_point(A39_191_9, reverse_line(L40_191_9)))
% 293.41/42.83
% 293.41/42.83 [8988] ALPHA_NOT_OR : ~(left_apart_point(A39_191_9, L40_191_9) | left_apart_point(A39_191_9, reverse_line(L40_191_9)))
% 293.41/42.83 -> [8991] ~left_apart_point(A39_191_9, L40_191_9), ~left_apart_point(A39_191_9, reverse_line(L40_191_9))
% 293.41/42.83
% 293.41/42.83 [8991] CLOSURE : ~left_apart_point(A39_191_9, L40_191_9)
% 293.41/42.83
% 293.41/42.83 [8752] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.83 -> [9106] ~(left_apart_point(A39_211_9, L40_211_9) | left_apart_point(A39_211_9, reverse_line(L40_211_9)))
% 293.41/42.83
% 293.41/42.83 [9106] ALPHA_NOT_OR : ~(left_apart_point(A39_211_9, L40_211_9) | left_apart_point(A39_211_9, reverse_line(L40_211_9)))
% 293.41/42.83 -> [9108] ~left_apart_point(A39_211_9, L40_211_9), ~left_apart_point(A39_211_9, reverse_line(L40_211_9))
% 293.41/42.83
% 293.41/42.83 [9108] CLOSURE : ~left_apart_point(A39_211_9, L40_211_9)
% 293.41/42.83
% 293.41/42.83 [8632] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.83 -> [8845] ((unequally_directed_lines(skolem_N7979, M38_107_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_107_8))) => (left_convergent_lines(skolem_N7979, M38_107_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_107_8))))
% 293.41/42.83
% 293.41/42.83 [8845] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_107_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_107_8))) => (left_convergent_lines(skolem_N7979, M38_107_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_107_8))))
% 293.41/42.83 -> [8846] ~(unequally_directed_lines(skolem_N7979, M38_107_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_107_8)))
% 293.41/42.83 -> [8847] (left_convergent_lines(skolem_N7979, M38_107_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_107_8)))
% 293.41/42.83
% 293.41/42.83 [8846] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_107_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_107_8)))
% 293.41/42.83 -> [8905] ~unequally_directed_lines(skolem_N7979, M38_107_8)
% 293.41/42.83 -> [8906] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_107_8))
% 293.41/42.83
% 293.41/42.83 [8906] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_107_8))
% 293.41/42.83
% 293.41/42.83 [8905] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_107_8)
% 293.41/42.83
% 293.41/42.83 [8847] BETA_OR : (left_convergent_lines(skolem_N7979, M38_107_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_107_8)))
% 293.41/42.83 -> [8848] left_convergent_lines(skolem_N7979, M38_107_8)
% 293.41/42.83 -> [8849] left_convergent_lines(skolem_N7979, reverse_line(M38_107_8))
% 293.41/42.83
% 293.41/42.83 [8848] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.83 -> [9168] ~(left_apart_point(A39_218_9, L40_218_9) | left_apart_point(A39_218_9, reverse_line(L40_218_9)))
% 293.41/42.83
% 293.41/42.83 [9168] ALPHA_NOT_OR : ~(left_apart_point(A39_218_9, L40_218_9) | left_apart_point(A39_218_9, reverse_line(L40_218_9)))
% 293.41/42.83 -> [9172] ~left_apart_point(A39_218_9, L40_218_9), ~left_apart_point(A39_218_9, reverse_line(L40_218_9))
% 293.41/42.83
% 293.41/42.83 [9172] CLOSURE : ~left_apart_point(A39_218_9, L40_218_9)
% 293.41/42.83
% 293.41/42.83 [8849] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.83 -> [9179] ~(left_apart_point(A39_219_9, L40_219_9) | left_apart_point(A39_219_9, reverse_line(L40_219_9)))
% 293.41/42.83
% 293.41/42.83 [9179] ALPHA_NOT_OR : ~(left_apart_point(A39_219_9, L40_219_9) | left_apart_point(A39_219_9, reverse_line(L40_219_9)))
% 293.41/42.83 -> [9182] ~left_apart_point(A39_219_9, L40_219_9), ~left_apart_point(A39_219_9, reverse_line(L40_219_9))
% 293.41/42.83
% 293.41/42.83 [9182] CLOSURE : ~left_apart_point(A39_219_9, L40_219_9)
% 293.41/42.83
% 293.41/42.83 [8600] 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))))
% 293.41/42.83 -> [8603] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.41/42.83 -> [8604] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.41/42.83
% 293.41/42.83 [8603] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.41/42.83
% 293.41/42.83 [8604] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.83 -> [9500] ((unequally_directed_lines(skolem_N7979, M38_133_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_133_8))) => (left_convergent_lines(skolem_N7979, M38_133_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_133_8))))
% 293.41/42.83
% 293.41/42.83 [9500] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_133_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_133_8))) => (left_convergent_lines(skolem_N7979, M38_133_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_133_8))))
% 293.41/42.83 -> [9503] ~(unequally_directed_lines(skolem_N7979, M38_133_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_133_8)))
% 293.41/42.83 -> [9504] (left_convergent_lines(skolem_N7979, M38_133_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_133_8)))
% 293.41/42.83
% 293.41/42.83 [9503] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_133_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_133_8)))
% 293.41/42.83 -> [9524] ~unequally_directed_lines(skolem_N7979, M38_133_8)
% 293.41/42.83 -> [9525] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_133_8))
% 293.41/42.83
% 293.41/42.83 [9525] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_133_8))
% 293.41/42.83
% 293.41/42.83 [9524] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_133_8)
% 293.41/42.83
% 293.41/42.83 [9504] BETA_OR : (left_convergent_lines(skolem_N7979, M38_133_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_133_8)))
% 293.41/42.83 -> [9508] left_convergent_lines(skolem_N7979, M38_133_8)
% 293.41/42.83 -> [9509] left_convergent_lines(skolem_N7979, reverse_line(M38_133_8))
% 293.41/42.83
% 293.41/42.83 [9509] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.83 -> [9599] ~(left_apart_point(A39_243_9, L40_243_9) | left_apart_point(A39_243_9, reverse_line(L40_243_9)))
% 293.41/42.83
% 293.41/42.83 [9599] ALPHA_NOT_OR : ~(left_apart_point(A39_243_9, L40_243_9) | left_apart_point(A39_243_9, reverse_line(L40_243_9)))
% 293.41/42.83 -> [9600] ~left_apart_point(A39_243_9, L40_243_9), ~left_apart_point(A39_243_9, reverse_line(L40_243_9))
% 293.41/42.83
% 293.41/42.83 [9600] CLOSURE : ~left_apart_point(A39_243_9, L40_243_9)
% 293.41/42.83
% 293.41/42.83 [9508] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.83 -> [9661] ~(left_apart_point(A39_244_9, L40_244_9) | left_apart_point(A39_244_9, reverse_line(L40_244_9)))
% 293.41/42.83
% 293.41/42.83 [9661] ALPHA_NOT_OR : ~(left_apart_point(A39_244_9, L40_244_9) | left_apart_point(A39_244_9, reverse_line(L40_244_9)))
% 293.41/42.83 -> [9665] ~left_apart_point(A39_244_9, L40_244_9), ~left_apart_point(A39_244_9, reverse_line(L40_244_9))
% 293.41/42.83
% 293.41/42.83 [9665] CLOSURE : ~left_apart_point(A39_244_9, L40_244_9)
% 293.41/42.83
% 293.41/42.83 [8349] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_19_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_19_6)))
% 293.41/42.83 -> [8400] unequally_directed_lines(skolem_M7878, N34_19_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_19_6))
% 293.41/42.83
% 293.41/42.83 [8400] 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)))))
% 293.41/42.83 -> [8620] ((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)))))
% 293.41/42.83
% 293.41/42.83 [8620] 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)))))
% 293.41/42.83 -> [8621] ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.41/42.83 -> [8622] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 293.41/42.83
% 293.41/42.83 [8621] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.41/42.83 -> [8671] ~line(skolem_L7777)
% 293.41/42.83 -> [8672] ~line(line_connecting(skolem_B8181, skolem_C8282))
% 293.41/42.83
% 293.41/42.83 [8671] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.83 -> [8836] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.83
% 293.41/42.83 [8836] 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))))
% 293.41/42.83 -> [8837] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.83 -> [8838] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.83
% 293.41/42.83 [8837] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.83 -> [8900] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.83 -> [8901] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.83
% 293.41/42.83 [8901] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.83
% 293.41/42.83 [8900] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.83
% 293.41/42.83 [8838] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.83 -> [8841] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.83 -> [8842] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.83
% 293.41/42.83 [8842] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.83 -> [9085] ~(left_apart_point(A39_208_9, L40_208_9) | left_apart_point(A39_208_9, reverse_line(L40_208_9)))
% 293.41/42.83
% 293.41/42.83 [9085] ALPHA_NOT_OR : ~(left_apart_point(A39_208_9, L40_208_9) | left_apart_point(A39_208_9, reverse_line(L40_208_9)))
% 293.41/42.83 -> [9087] ~left_apart_point(A39_208_9, L40_208_9), ~left_apart_point(A39_208_9, reverse_line(L40_208_9))
% 293.41/42.83
% 293.41/42.83 [9087] CLOSURE : ~left_apart_point(A39_208_9, L40_208_9)
% 293.41/42.83
% 293.41/42.83 [8841] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.83 -> [9159] ~(left_apart_point(A39_216_9, L40_216_9) | left_apart_point(A39_216_9, reverse_line(L40_216_9)))
% 293.41/42.83
% 293.41/42.83 [9159] ALPHA_NOT_OR : ~(left_apart_point(A39_216_9, L40_216_9) | left_apart_point(A39_216_9, reverse_line(L40_216_9)))
% 293.41/42.83 -> [9163] ~left_apart_point(A39_216_9, L40_216_9), ~left_apart_point(A39_216_9, reverse_line(L40_216_9))
% 293.41/42.83
% 293.41/42.83 [9163] CLOSURE : ~left_apart_point(A39_216_9, L40_216_9)
% 293.41/42.83
% 293.41/42.83 [8672] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.83 -> [8784] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.83
% 293.41/42.83 [8784] 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))))
% 293.41/42.83 -> [8787] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.83 -> [8788] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.83
% 293.41/42.83 [8788] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.83 -> [8789] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.83 -> [8790] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.83
% 293.41/42.83 [8789] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.83 -> [9089] ~(left_apart_point(A39_209_9, L40_209_9) | left_apart_point(A39_209_9, reverse_line(L40_209_9)))
% 293.41/42.83
% 293.41/42.83 [9089] ALPHA_NOT_OR : ~(left_apart_point(A39_209_9, L40_209_9) | left_apart_point(A39_209_9, reverse_line(L40_209_9)))
% 293.41/42.83 -> [9092] ~left_apart_point(A39_209_9, L40_209_9), ~left_apart_point(A39_209_9, reverse_line(L40_209_9))
% 293.41/42.83
% 293.41/42.83 [9092] CLOSURE : ~left_apart_point(A39_209_9, L40_209_9)
% 293.41/42.83
% 293.41/42.83 [8790] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.83 -> [9093] ~(left_apart_point(A39_210_9, L40_210_9) | left_apart_point(A39_210_9, reverse_line(L40_210_9)))
% 293.41/42.83
% 293.41/42.83 [9093] ALPHA_NOT_OR : ~(left_apart_point(A39_210_9, L40_210_9) | left_apart_point(A39_210_9, reverse_line(L40_210_9)))
% 293.41/42.83 -> [9095] ~left_apart_point(A39_210_9, L40_210_9), ~left_apart_point(A39_210_9, reverse_line(L40_210_9))
% 293.41/42.83
% 293.41/42.83 [9095] CLOSURE : ~left_apart_point(A39_210_9, L40_210_9)
% 293.41/42.83
% 293.41/42.83 [8787] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.83 -> [8843] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.83 -> [8844] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.83
% 293.41/42.83 [8844] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.83
% 293.41/42.83 [8843] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.83
% 293.41/42.83 [8622] 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))))
% 293.41/42.83 -> [8625] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.41/42.83 -> [8626] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.41/42.83
% 293.41/42.83 [8625] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.41/42.83
% 293.41/42.83 [8626] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.83 -> [13247] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.83
% 293.41/42.83 [13247] 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))))
% 293.41/42.83 -> [13250] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.83 -> [13251] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.83
% 293.41/42.83 [13250] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.83 -> [13264] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.83 -> [13265] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.83
% 293.41/42.83 [13265] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.83
% 293.41/42.83 [13264] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.83
% 293.41/42.83 [13251] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.83 -> [13255] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.83 -> [13256] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.83
% 293.41/42.83 [13256] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.83 -> [13309] ~(left_apart_point(A39_615_9, L40_615_9) | left_apart_point(A39_615_9, reverse_line(L40_615_9)))
% 293.41/42.83
% 293.41/42.83 [13309] ALPHA_NOT_OR : ~(left_apart_point(A39_615_9, L40_615_9) | left_apart_point(A39_615_9, reverse_line(L40_615_9)))
% 293.41/42.83 -> [13314] ~left_apart_point(A39_615_9, L40_615_9), ~left_apart_point(A39_615_9, reverse_line(L40_615_9))
% 293.41/42.83
% 293.41/42.83 [13314] CLOSURE : ~left_apart_point(A39_615_9, L40_615_9)
% 293.41/42.83
% 293.41/42.83 [13255] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.83 -> [13319] ~(left_apart_point(A39_616_9, L40_616_9) | left_apart_point(A39_616_9, reverse_line(L40_616_9)))
% 293.41/42.83
% 293.41/42.83 [13319] ALPHA_NOT_OR : ~(left_apart_point(A39_616_9, L40_616_9) | left_apart_point(A39_616_9, reverse_line(L40_616_9)))
% 293.41/42.83 -> [13320] ~left_apart_point(A39_616_9, L40_616_9), ~left_apart_point(A39_616_9, reverse_line(L40_616_9))
% 293.41/42.83
% 293.41/42.83 [13320] CLOSURE : ~left_apart_point(A39_616_9, L40_616_9)
% 293.41/42.83
% 293.41/42.83 [417] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.41/42.83 -> [1397] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.83
% 293.41/42.83 [1397] 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))))
% 293.41/42.83 -> [1534] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.41/42.83
% 293.41/42.83 [1534] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.41/42.83 -> [1536] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.83 -> [1537] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.41/42.83
% 293.41/42.83 [1536] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.83
% 293.41/42.83 [1537] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.41/42.83 -> [5341] distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.83 -> [5342] distinct_points(skolem_C8282, skolem_B8181)
% 293.41/42.83
% 293.41/42.83 [5341] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.83
% 293.41/42.83 [5342] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.41/42.83 -> [6070] ~distinct_lines(N27_195_3, N27_195_3)
% 293.41/42.83
% 293.41/42.83 [6070] 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))))
% 293.41/42.83 -> [6241] (distinct_lines(N27_195_3, N27_195_3) => (distinct_lines(N27_195_3, N27_195_3) | distinct_lines(N27_195_3, N27_195_3)))
% 293.41/42.83
% 293.41/42.83 [6241] BETA_IMPLY : (distinct_lines(N27_195_3, N27_195_3) => (distinct_lines(N27_195_3, N27_195_3) | distinct_lines(N27_195_3, N27_195_3)))
% 293.41/42.83 -> [6245] ~distinct_lines(N27_195_3, N27_195_3)
% 293.41/42.83 -> [6246] (distinct_lines(N27_195_3, N27_195_3) | distinct_lines(N27_195_3, N27_195_3))
% 293.41/42.83
% 293.41/42.83 [6246] BETA_OR : (distinct_lines(N27_195_3, N27_195_3) | distinct_lines(N27_195_3, N27_195_3))
% 293.41/42.83 -> [6254] distinct_lines(N27_195_3, N27_195_3)
% 293.41/42.83 -> [6255] distinct_lines(N27_195_3, N27_195_3)
% 293.41/42.83
% 293.41/42.83 [6254] CLOSURE : distinct_lines(N27_195_3, N27_195_3)
% 293.41/42.83
% 293.41/42.83 [6255] CLOSURE : distinct_lines(N27_195_3, N27_195_3)
% 293.41/42.83
% 293.41/42.83 [6245] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.41/42.83 -> [6832] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.83
% 293.41/42.83 [6832] 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))))
% 293.41/42.83 -> [7005] (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))))
% 293.41/42.83
% 293.41/42.83 [7005] 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))))
% 293.41/42.83 -> [7006] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.83 -> [7007] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.41/42.83
% 293.41/42.83 [7006] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.83
% 293.41/42.83 [7007] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.41/42.83 -> [17639] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.83 -> [17640] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.83
% 293.41/42.83 [17640] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.83
% 293.41/42.83 [17639] 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))))))
% 293.41/42.83 -> [18440] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_245_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_245_6))) | (unequally_directed_lines(skolem_N7979, N34_245_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_245_6)))))
% 293.41/42.83
% 293.41/42.83 [18440] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_245_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_245_6))) | (unequally_directed_lines(skolem_N7979, N34_245_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_245_6)))))
% 293.41/42.83 -> [18443] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.83 -> [18444] ((unequally_directed_lines(skolem_M7878, N34_245_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_245_6))) | (unequally_directed_lines(skolem_N7979, N34_245_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_245_6))))
% 293.41/42.83
% 293.41/42.83 [18443] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.83 -> [18460] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.83 -> [18461] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.83
% 293.41/42.83 [18460] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.83
% 293.41/42.83 [18461] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.83
% 293.41/42.83 [18444] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_245_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_245_6))) | (unequally_directed_lines(skolem_N7979, N34_245_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_245_6))))
% 293.41/42.83 -> [20956] (unequally_directed_lines(skolem_M7878, N34_245_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_245_6)))
% 293.41/42.83 -> [20957] (unequally_directed_lines(skolem_N7979, N34_245_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_245_6)))
% 293.41/42.83
% 293.41/42.83 [20957] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_245_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_245_6)))
% 293.41/42.83 -> [20961] unequally_directed_lines(skolem_N7979, N34_245_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_245_6))
% 293.41/42.83
% 293.41/42.83 [20961] 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)))))
% 293.41/42.83 -> [21021] ((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)))))
% 293.41/42.83
% 293.41/42.83 [21021] 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)))))
% 293.41/42.83 -> [21022] ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.41/42.83 -> [21023] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 293.41/42.83
% 293.41/42.83 [21022] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.41/42.83 -> [21058] ~line(skolem_L7777)
% 293.41/42.83 -> [21059] ~line(line_connecting(skolem_B8181, skolem_C8282))
% 293.41/42.83
% 293.41/42.83 [21058] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.83 -> [21149] ((unequally_directed_lines(skolem_N7979, M38_810_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_810_8))) => (left_convergent_lines(skolem_N7979, M38_810_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_810_8))))
% 293.41/42.83
% 293.41/42.83 [21149] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_810_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_810_8))) => (left_convergent_lines(skolem_N7979, M38_810_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_810_8))))
% 293.41/42.83 -> [21154] ~(unequally_directed_lines(skolem_N7979, M38_810_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_810_8)))
% 293.41/42.83 -> [21155] (left_convergent_lines(skolem_N7979, M38_810_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_810_8)))
% 293.41/42.83
% 293.41/42.83 [21154] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_810_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_810_8)))
% 293.41/42.83 -> [21198] ~unequally_directed_lines(skolem_N7979, M38_810_8)
% 293.41/42.83 -> [21199] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_810_8))
% 293.41/42.83
% 293.41/42.83 [21199] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_810_8))
% 293.41/42.83
% 293.41/42.83 [21198] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_810_8)
% 293.41/42.83
% 293.41/42.83 [21155] BETA_OR : (left_convergent_lines(skolem_N7979, M38_810_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_810_8)))
% 293.41/42.83 -> [21160] left_convergent_lines(skolem_N7979, M38_810_8)
% 293.41/42.83 -> [21161] left_convergent_lines(skolem_N7979, reverse_line(M38_810_8))
% 293.41/42.83
% 293.41/42.83 [21161] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.83 -> [21334] ~(left_apart_point(A39_1562_9, L40_1562_9) | left_apart_point(A39_1562_9, reverse_line(L40_1562_9)))
% 293.41/42.83
% 293.41/42.83 [21334] ALPHA_NOT_OR : ~(left_apart_point(A39_1562_9, L40_1562_9) | left_apart_point(A39_1562_9, reverse_line(L40_1562_9)))
% 293.41/42.83 -> [21335] ~left_apart_point(A39_1562_9, L40_1562_9), ~left_apart_point(A39_1562_9, reverse_line(L40_1562_9))
% 293.41/42.83
% 293.41/42.83 [21335] CLOSURE : ~left_apart_point(A39_1562_9, L40_1562_9)
% 293.41/42.83
% 293.41/42.83 [21160] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.83 -> [21429] ~(left_apart_point(A39_1582_9, L40_1582_9) | left_apart_point(A39_1582_9, reverse_line(L40_1582_9)))
% 293.41/42.83
% 293.41/42.83 [21429] ALPHA_NOT_OR : ~(left_apart_point(A39_1582_9, L40_1582_9) | left_apart_point(A39_1582_9, reverse_line(L40_1582_9)))
% 293.41/42.83 -> [21431] ~left_apart_point(A39_1582_9, L40_1582_9), ~left_apart_point(A39_1582_9, reverse_line(L40_1582_9))
% 293.41/42.83
% 293.41/42.83 [21431] CLOSURE : ~left_apart_point(A39_1582_9, L40_1582_9)
% 293.41/42.83
% 293.41/42.83 [21059] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.83 -> [21126] ((unequally_directed_lines(skolem_N7979, M38_807_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_807_8))) => (left_convergent_lines(skolem_N7979, M38_807_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_807_8))))
% 293.41/42.83
% 293.41/42.83 [21126] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_807_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_807_8))) => (left_convergent_lines(skolem_N7979, M38_807_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_807_8))))
% 293.41/42.83 -> [21127] ~(unequally_directed_lines(skolem_N7979, M38_807_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_807_8)))
% 293.41/42.83 -> [21128] (left_convergent_lines(skolem_N7979, M38_807_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_807_8)))
% 293.41/42.83
% 293.41/42.83 [21128] BETA_OR : (left_convergent_lines(skolem_N7979, M38_807_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_807_8)))
% 293.41/42.83 -> [21129] left_convergent_lines(skolem_N7979, M38_807_8)
% 293.41/42.83 -> [21130] left_convergent_lines(skolem_N7979, reverse_line(M38_807_8))
% 293.41/42.83
% 293.41/42.83 [21130] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.83 -> [21266] ~(left_apart_point(A39_1556_9, L40_1556_9) | left_apart_point(A39_1556_9, reverse_line(L40_1556_9)))
% 293.41/42.83
% 293.41/42.83 [21266] ALPHA_NOT_OR : ~(left_apart_point(A39_1556_9, L40_1556_9) | left_apart_point(A39_1556_9, reverse_line(L40_1556_9)))
% 293.41/42.83 -> [21267] ~left_apart_point(A39_1556_9, L40_1556_9), ~left_apart_point(A39_1556_9, reverse_line(L40_1556_9))
% 293.41/42.83
% 293.41/42.83 [21267] CLOSURE : ~left_apart_point(A39_1556_9, L40_1556_9)
% 293.41/42.83
% 293.41/42.83 [21129] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.83 -> [21337] ~(left_apart_point(A39_1564_9, L40_1564_9) | left_apart_point(A39_1564_9, reverse_line(L40_1564_9)))
% 293.41/42.83
% 293.41/42.83 [21337] ALPHA_NOT_OR : ~(left_apart_point(A39_1564_9, L40_1564_9) | left_apart_point(A39_1564_9, reverse_line(L40_1564_9)))
% 293.41/42.83 -> [21339] ~left_apart_point(A39_1564_9, L40_1564_9), ~left_apart_point(A39_1564_9, reverse_line(L40_1564_9))
% 293.41/42.83
% 293.41/42.83 [21339] CLOSURE : ~left_apart_point(A39_1564_9, L40_1564_9)
% 293.41/42.83
% 293.41/42.83 [21127] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_807_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_807_8)))
% 293.41/42.83 -> [21597] ~unequally_directed_lines(skolem_N7979, M38_807_8)
% 293.41/42.83 -> [21598] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_807_8))
% 293.41/42.83
% 293.41/42.83 [21598] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_807_8))
% 293.41/42.83
% 293.41/42.83 [21597] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_807_8)
% 293.41/42.83
% 293.41/42.83 [21023] 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))))
% 293.41/42.83 -> [21026] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.41/42.83 -> [21027] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.41/42.83
% 293.41/42.83 [21026] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.41/42.83
% 293.41/42.83 [21027] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.83 -> [23601] ((unequally_directed_lines(skolem_N7979, M38_974_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_974_8))) => (left_convergent_lines(skolem_N7979, M38_974_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_974_8))))
% 293.41/42.83
% 293.41/42.83 [23601] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_974_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_974_8))) => (left_convergent_lines(skolem_N7979, M38_974_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_974_8))))
% 293.41/42.83 -> [23604] ~(unequally_directed_lines(skolem_N7979, M38_974_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_974_8)))
% 293.41/42.83 -> [23605] (left_convergent_lines(skolem_N7979, M38_974_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_974_8)))
% 293.41/42.83
% 293.41/42.83 [23604] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_974_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_974_8)))
% 293.41/42.83 -> [23747] ~unequally_directed_lines(skolem_N7979, M38_974_8)
% 293.41/42.83 -> [23748] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_974_8))
% 293.41/42.83
% 293.41/42.83 [23748] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_974_8))
% 293.41/42.83
% 293.41/42.83 [23747] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_974_8)
% 293.41/42.83
% 293.41/42.83 [23605] BETA_OR : (left_convergent_lines(skolem_N7979, M38_974_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_974_8)))
% 293.41/42.83 -> [23611] left_convergent_lines(skolem_N7979, M38_974_8)
% 293.41/42.83 -> [23612] left_convergent_lines(skolem_N7979, reverse_line(M38_974_8))
% 293.41/42.83
% 293.41/42.83 [23611] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.83 -> [24001] ~(left_apart_point(A39_1963_9, L40_1963_9) | left_apart_point(A39_1963_9, reverse_line(L40_1963_9)))
% 293.41/42.83
% 293.41/42.83 [24001] ALPHA_NOT_OR : ~(left_apart_point(A39_1963_9, L40_1963_9) | left_apart_point(A39_1963_9, reverse_line(L40_1963_9)))
% 293.41/42.83 -> [24005] ~left_apart_point(A39_1963_9, L40_1963_9), ~left_apart_point(A39_1963_9, reverse_line(L40_1963_9))
% 293.41/42.83
% 293.41/42.83 [24005] CLOSURE : ~left_apart_point(A39_1963_9, L40_1963_9)
% 293.41/42.83
% 293.41/42.83 [23612] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.83 -> [23969] ~(left_apart_point(A39_1955_9, L40_1955_9) | left_apart_point(A39_1955_9, reverse_line(L40_1955_9)))
% 293.41/42.83
% 293.41/42.83 [23969] ALPHA_NOT_OR : ~(left_apart_point(A39_1955_9, L40_1955_9) | left_apart_point(A39_1955_9, reverse_line(L40_1955_9)))
% 293.41/42.83 -> [23970] ~left_apart_point(A39_1955_9, L40_1955_9), ~left_apart_point(A39_1955_9, reverse_line(L40_1955_9))
% 293.41/42.83
% 293.41/42.83 [23970] CLOSURE : ~left_apart_point(A39_1955_9, L40_1955_9)
% 293.41/42.83
% 293.41/42.83 [20956] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_245_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_245_6)))
% 293.41/42.83 -> [20970] unequally_directed_lines(skolem_M7878, N34_245_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_245_6))
% 293.41/42.83
% 293.41/42.83 [20970] 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)))))
% 293.41/42.83 -> [21070] ((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))))
% 293.41/42.83
% 293.41/42.83 [21070] 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))))
% 293.41/42.83 -> [21073] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.41/42.83 -> [21074] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.41/42.83
% 293.41/42.83 [21074] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.41/42.83 -> [21077] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 293.41/42.83 -> [21078] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.83
% 293.41/42.83 [21078] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.41/42.83
% 293.41/42.83 [21077] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.83 -> [22649] ((unequally_directed_lines(skolem_M7878, M38_909_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_909_8))) => (left_convergent_lines(skolem_M7878, M38_909_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_909_8))))
% 293.41/42.83
% 293.41/42.83 [22649] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_909_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_909_8))) => (left_convergent_lines(skolem_M7878, M38_909_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_909_8))))
% 293.41/42.83 -> [22652] ~(unequally_directed_lines(skolem_M7878, M38_909_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_909_8)))
% 293.41/42.83 -> [22653] (left_convergent_lines(skolem_M7878, M38_909_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_909_8)))
% 293.41/42.83
% 293.41/42.83 [22652] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_909_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_909_8)))
% 293.41/42.83 -> [22740] ~unequally_directed_lines(skolem_M7878, M38_909_8)
% 293.41/42.83 -> [22741] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_909_8))
% 293.41/42.83
% 293.41/42.83 [22741] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_909_8))
% 293.41/42.83
% 293.41/42.83 [22740] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_909_8)
% 293.41/42.83
% 293.41/42.83 [22653] BETA_OR : (left_convergent_lines(skolem_M7878, M38_909_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_909_8)))
% 293.41/42.83 -> [22660] left_convergent_lines(skolem_M7878, M38_909_8)
% 293.41/42.83 -> [22661] left_convergent_lines(skolem_M7878, reverse_line(M38_909_8))
% 293.41/42.83
% 293.41/42.83 [22661] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.83 -> [22884] ~(left_apart_point(A39_1792_9, L40_1792_9) | left_apart_point(A39_1792_9, reverse_line(L40_1792_9)))
% 293.41/42.83
% 293.41/42.83 [22884] ALPHA_NOT_OR : ~(left_apart_point(A39_1792_9, L40_1792_9) | left_apart_point(A39_1792_9, reverse_line(L40_1792_9)))
% 293.41/42.83 -> [22887] ~left_apart_point(A39_1792_9, L40_1792_9), ~left_apart_point(A39_1792_9, reverse_line(L40_1792_9))
% 293.41/42.83
% 293.41/42.83 [22887] CLOSURE : ~left_apart_point(A39_1792_9, L40_1792_9)
% 293.41/42.83
% 293.41/42.83 [22660] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.83 -> [22969] ~(left_apart_point(A39_1804_9, L40_1804_9) | left_apart_point(A39_1804_9, reverse_line(L40_1804_9)))
% 293.41/42.83
% 293.41/42.83 [22969] ALPHA_NOT_OR : ~(left_apart_point(A39_1804_9, L40_1804_9) | left_apart_point(A39_1804_9, reverse_line(L40_1804_9)))
% 293.41/42.83 -> [22970] ~left_apart_point(A39_1804_9, L40_1804_9), ~left_apart_point(A39_1804_9, reverse_line(L40_1804_9))
% 293.41/42.83
% 293.41/42.83 [22970] CLOSURE : ~left_apart_point(A39_1804_9, L40_1804_9)
% 293.41/42.83
% 293.41/42.83 [21073] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.41/42.83 -> [21088] ~line(reverse_line(skolem_N7979))
% 293.41/42.83 -> [21089] ~line(skolem_N7979)
% 293.41/42.83
% 293.41/42.83 [21089] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.83 -> [21182] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.83
% 293.41/42.83 [21182] 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))))
% 293.41/42.83 -> [21184] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.83 -> [21185] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.83
% 293.41/42.83 [21184] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.83 -> [21218] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.83 -> [21219] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.83
% 293.41/42.83 [21219] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.83
% 293.41/42.83 [21218] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.83
% 293.41/42.83 [21185] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.83 -> [21193] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.83 -> [21194] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.83
% 293.41/42.83 [21194] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.83 -> [21352] ~(left_apart_point(A39_1567_9, L40_1567_9) | left_apart_point(A39_1567_9, reverse_line(L40_1567_9)))
% 293.41/42.83
% 293.41/42.83 [21352] ALPHA_NOT_OR : ~(left_apart_point(A39_1567_9, L40_1567_9) | left_apart_point(A39_1567_9, reverse_line(L40_1567_9)))
% 293.41/42.83 -> [21353] ~left_apart_point(A39_1567_9, L40_1567_9), ~left_apart_point(A39_1567_9, reverse_line(L40_1567_9))
% 293.41/42.83
% 293.41/42.83 [21353] CLOSURE : ~left_apart_point(A39_1567_9, L40_1567_9)
% 293.41/42.83
% 293.41/42.83 [21193] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.83 -> [21401] ~(left_apart_point(A39_1575_9, L40_1575_9) | left_apart_point(A39_1575_9, reverse_line(L40_1575_9)))
% 293.41/42.83
% 293.41/42.83 [21401] ALPHA_NOT_OR : ~(left_apart_point(A39_1575_9, L40_1575_9) | left_apart_point(A39_1575_9, reverse_line(L40_1575_9)))
% 293.41/42.83 -> [21406] ~left_apart_point(A39_1575_9, L40_1575_9), ~left_apart_point(A39_1575_9, reverse_line(L40_1575_9))
% 293.41/42.83
% 293.41/42.83 [21406] CLOSURE : ~left_apart_point(A39_1575_9, L40_1575_9)
% 293.41/42.83
% 293.41/42.83 [21088] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.83 -> [21235] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.83
% 293.41/42.83 [21235] 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))))
% 293.41/42.83 -> [21237] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.83 -> [21238] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.83
% 293.41/42.83 [21237] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.83 -> [21308] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.83 -> [21309] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.83
% 293.41/42.83 [21309] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.83
% 293.41/42.83 [21308] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.83
% 293.41/42.83 [21238] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.83 -> [21246] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.83 -> [21247] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.83
% 293.41/42.83 [21247] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.83 -> [21437] ~(left_apart_point(A39_1585_9, L40_1585_9) | left_apart_point(A39_1585_9, reverse_line(L40_1585_9)))
% 293.41/42.83
% 293.41/42.83 [21437] ALPHA_NOT_OR : ~(left_apart_point(A39_1585_9, L40_1585_9) | left_apart_point(A39_1585_9, reverse_line(L40_1585_9)))
% 293.41/42.83 -> [21438] ~left_apart_point(A39_1585_9, L40_1585_9), ~left_apart_point(A39_1585_9, reverse_line(L40_1585_9))
% 293.41/42.83
% 293.41/42.83 [21438] CLOSURE : ~left_apart_point(A39_1585_9, L40_1585_9)
% 293.41/42.83
% 293.41/42.83 [21246] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.83 -> [23664] ~(left_apart_point(A39_1909_9, L40_1909_9) | left_apart_point(A39_1909_9, reverse_line(L40_1909_9)))
% 293.41/42.83
% 293.41/42.83 [23664] ALPHA_NOT_OR : ~(left_apart_point(A39_1909_9, L40_1909_9) | left_apart_point(A39_1909_9, reverse_line(L40_1909_9)))
% 293.41/42.83 -> [23666] ~left_apart_point(A39_1909_9, L40_1909_9), ~left_apart_point(A39_1909_9, reverse_line(L40_1909_9))
% 293.41/42.83
% 293.41/42.83 [23666] CLOSURE : ~left_apart_point(A39_1909_9, L40_1909_9)
% 293.41/42.83
% 293.41/42.83 [200] 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)))
% 293.41/42.83 -> [1568] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 293.41/42.83 -> [1569] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 293.41/42.83
% 293.41/42.83 [1568] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.41/42.83 -> [1660] ~distinct_points(skolem_C8282, skolem_C8282)
% 293.41/42.83
% 293.41/42.83 [1660] 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))))
% 293.41/42.83 -> [1896] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.41/42.83
% 293.41/42.83 [1896] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.41/42.83 -> [1898] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.83 -> [1899] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.41/42.83
% 293.41/42.83 [1898] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.83
% 293.41/42.83 [1899] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.41/42.83 -> [6059] distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.83 -> [6060] distinct_points(skolem_C8282, skolem_C8282)
% 293.41/42.83
% 293.41/42.83 [6060] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 293.41/42.83
% 293.41/42.83 [6059] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.41/42.83 -> [6810] ~distinct_lines(N27_224_3, N27_224_3)
% 293.41/42.83
% 293.41/42.83 [6810] 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))))
% 293.41/42.83 -> [6916] (distinct_lines(N27_224_3, N27_224_3) => (distinct_lines(N27_224_3, N27_224_3) | distinct_lines(N27_224_3, N27_224_3)))
% 293.41/42.83
% 293.41/42.83 [6916] BETA_IMPLY : (distinct_lines(N27_224_3, N27_224_3) => (distinct_lines(N27_224_3, N27_224_3) | distinct_lines(N27_224_3, N27_224_3)))
% 293.41/42.83 -> [6927] ~distinct_lines(N27_224_3, N27_224_3)
% 293.41/42.83 -> [6928] (distinct_lines(N27_224_3, N27_224_3) | distinct_lines(N27_224_3, N27_224_3))
% 293.41/42.83
% 293.41/42.83 [6928] BETA_OR : (distinct_lines(N27_224_3, N27_224_3) | distinct_lines(N27_224_3, N27_224_3))
% 293.41/42.83 -> [6932] distinct_lines(N27_224_3, N27_224_3)
% 293.41/42.83 -> [6933] distinct_lines(N27_224_3, N27_224_3)
% 293.41/42.83
% 293.41/42.83 [6933] CLOSURE : distinct_lines(N27_224_3, N27_224_3)
% 293.41/42.83
% 293.41/42.83 [6932] CLOSURE : distinct_lines(N27_224_3, N27_224_3)
% 293.41/42.83
% 293.41/42.83 [6927] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.41/42.83 -> [7004] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.83
% 293.41/42.83 [7004] 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))))
% 293.41/42.83 -> [7100] (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)))
% 293.41/42.83
% 293.41/42.83 [7100] 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)))
% 293.41/42.83 -> [7101] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.83 -> [7102] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.41/42.83
% 293.41/42.83 [7101] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.83
% 293.41/42.83 [7102] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.41/42.83 -> [12471] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.83 -> [12472] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.41/42.83
% 293.41/42.83 [12471] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.83
% 293.41/42.83 [12472] 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))))))
% 293.41/42.83 -> [16443] ((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)))))
% 293.41/42.83
% 293.41/42.83 [16443] 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)))))
% 293.41/42.83 -> [16447] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.83 -> [16448] ((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))))
% 293.41/42.83
% 293.41/42.83 [16447] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.83 -> [16609] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.83 -> [16610] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.83
% 293.41/42.83 [16609] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.83
% 293.41/42.83 [16610] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.83
% 293.41/42.83 [16448] 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))))
% 293.41/42.83 -> [20540] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.41/42.83 -> [20541] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.41/42.83
% 293.41/42.83 [20540] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.41/42.83 -> [20574] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.41/42.83
% 293.41/42.83 [20574] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.83
% 293.41/42.83 [20541] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.41/42.83 -> [20543] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.41/42.83
% 293.41/42.83 [20543] 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)))))
% 293.41/42.83 -> [21208] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.41/42.83
% 293.41/42.83 [21208] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.41/42.83 -> [21211] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.41/42.83 -> [21212] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.41/42.83
% 293.41/42.83 [21211] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.41/42.83 -> [21220] ~line(skolem_M7878)
% 293.41/42.83 -> [21221] ~line(skolem_M7878)
% 293.41/42.83
% 293.41/42.83 [21221] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.83 -> [21236] ((unequally_directed_lines(skolem_N7979, M38_819_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_819_8))) => (left_convergent_lines(skolem_N7979, M38_819_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_819_8))))
% 293.41/42.83
% 293.41/42.83 [21236] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_819_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_819_8))) => (left_convergent_lines(skolem_N7979, M38_819_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_819_8))))
% 293.41/42.83 -> [21241] ~(unequally_directed_lines(skolem_N7979, M38_819_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_819_8)))
% 293.41/42.83 -> [21242] (left_convergent_lines(skolem_N7979, M38_819_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_819_8)))
% 293.41/42.83
% 293.41/42.83 [21241] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_819_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_819_8)))
% 293.41/42.83 -> [21269] ~unequally_directed_lines(skolem_N7979, M38_819_8)
% 293.41/42.83 -> [21270] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_819_8))
% 293.41/42.83
% 293.41/42.83 [21270] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_819_8))
% 293.41/42.83
% 293.41/42.83 [21269] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_819_8)
% 293.41/42.83
% 293.41/42.83 [21242] BETA_OR : (left_convergent_lines(skolem_N7979, M38_819_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_819_8)))
% 293.41/42.83 -> [21248] left_convergent_lines(skolem_N7979, M38_819_8)
% 293.41/42.83 -> [21249] left_convergent_lines(skolem_N7979, reverse_line(M38_819_8))
% 293.41/42.83
% 293.41/42.83 [21249] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.83 -> [21336] ~(left_apart_point(A39_1563_9, L40_1563_9) | left_apart_point(A39_1563_9, reverse_line(L40_1563_9)))
% 293.41/42.83
% 293.41/42.83 [21336] ALPHA_NOT_OR : ~(left_apart_point(A39_1563_9, L40_1563_9) | left_apart_point(A39_1563_9, reverse_line(L40_1563_9)))
% 293.41/42.83 -> [21338] ~left_apart_point(A39_1563_9, L40_1563_9), ~left_apart_point(A39_1563_9, reverse_line(L40_1563_9))
% 293.41/42.83
% 293.41/42.83 [21338] CLOSURE : ~left_apart_point(A39_1563_9, L40_1563_9)
% 293.41/42.83
% 293.41/42.83 [21248] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.83 -> [21384] ~(left_apart_point(A39_1572_9, L40_1572_9) | left_apart_point(A39_1572_9, reverse_line(L40_1572_9)))
% 293.41/42.83
% 293.41/42.83 [21384] ALPHA_NOT_OR : ~(left_apart_point(A39_1572_9, L40_1572_9) | left_apart_point(A39_1572_9, reverse_line(L40_1572_9)))
% 293.41/42.83 -> [21386] ~left_apart_point(A39_1572_9, L40_1572_9), ~left_apart_point(A39_1572_9, reverse_line(L40_1572_9))
% 293.41/42.83
% 293.41/42.83 [21386] CLOSURE : ~left_apart_point(A39_1572_9, L40_1572_9)
% 293.41/42.83
% 293.41/42.83 [21220] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.83 -> [21292] ((unequally_directed_lines(skolem_N7979, M38_827_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_827_8))) => (left_convergent_lines(skolem_N7979, M38_827_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_827_8))))
% 293.41/42.83
% 293.41/42.83 [21292] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_827_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_827_8))) => (left_convergent_lines(skolem_N7979, M38_827_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_827_8))))
% 293.41/42.83 -> [21297] ~(unequally_directed_lines(skolem_N7979, M38_827_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_827_8)))
% 293.41/42.83 -> [21298] (left_convergent_lines(skolem_N7979, M38_827_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_827_8)))
% 293.41/42.83
% 293.41/42.83 [21298] BETA_OR : (left_convergent_lines(skolem_N7979, M38_827_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_827_8)))
% 293.41/42.83 -> [21305] left_convergent_lines(skolem_N7979, M38_827_8)
% 293.41/42.83 -> [21306] left_convergent_lines(skolem_N7979, reverse_line(M38_827_8))
% 293.41/42.83
% 293.41/42.83 [21305] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.83 -> [21392] ~(left_apart_point(A39_1573_9, L40_1573_9) | left_apart_point(A39_1573_9, reverse_line(L40_1573_9)))
% 293.41/42.83
% 293.41/42.83 [21392] ALPHA_NOT_OR : ~(left_apart_point(A39_1573_9, L40_1573_9) | left_apart_point(A39_1573_9, reverse_line(L40_1573_9)))
% 293.41/42.83 -> [21393] ~left_apart_point(A39_1573_9, L40_1573_9), ~left_apart_point(A39_1573_9, reverse_line(L40_1573_9))
% 293.41/42.83
% 293.41/42.83 [21393] CLOSURE : ~left_apart_point(A39_1573_9, L40_1573_9)
% 293.41/42.83
% 293.41/42.83 [21306] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.83 -> [21399] ~(left_apart_point(A39_1574_9, L40_1574_9) | left_apart_point(A39_1574_9, reverse_line(L40_1574_9)))
% 293.41/42.83
% 293.41/42.83 [21399] ALPHA_NOT_OR : ~(left_apart_point(A39_1574_9, L40_1574_9) | left_apart_point(A39_1574_9, reverse_line(L40_1574_9)))
% 293.41/42.83 -> [21400] ~left_apart_point(A39_1574_9, L40_1574_9), ~left_apart_point(A39_1574_9, reverse_line(L40_1574_9))
% 293.41/42.83
% 293.41/42.83 [21400] CLOSURE : ~left_apart_point(A39_1574_9, L40_1574_9)
% 293.41/42.83
% 293.41/42.83 [21297] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_827_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_827_8)))
% 293.41/42.83 -> [21317] ~unequally_directed_lines(skolem_N7979, M38_827_8)
% 293.41/42.83 -> [21318] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_827_8))
% 293.41/42.83
% 293.41/42.83 [21317] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_827_8)
% 293.41/42.83
% 293.41/42.83 [21318] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_827_8))
% 293.41/42.83
% 293.41/42.83 [21212] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.41/42.83 -> [21216] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.83 -> [21217] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.41/42.83
% 293.41/42.83 [21216] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.83
% 293.41/42.83 [21217] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.83 -> [21255] ((unequally_directed_lines(skolem_N7979, M38_821_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_821_8))) => (left_convergent_lines(skolem_N7979, M38_821_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_821_8))))
% 293.41/42.83
% 293.41/42.83 [21255] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_821_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_821_8))) => (left_convergent_lines(skolem_N7979, M38_821_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_821_8))))
% 293.41/42.83 -> [21257] ~(unequally_directed_lines(skolem_N7979, M38_821_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_821_8)))
% 293.41/42.83 -> [21258] (left_convergent_lines(skolem_N7979, M38_821_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_821_8)))
% 293.41/42.83
% 293.41/42.83 [21258] BETA_OR : (left_convergent_lines(skolem_N7979, M38_821_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_821_8)))
% 293.41/42.83 -> [21262] left_convergent_lines(skolem_N7979, M38_821_8)
% 293.41/42.83 -> [21263] left_convergent_lines(skolem_N7979, reverse_line(M38_821_8))
% 293.41/42.83
% 293.41/42.83 [21263] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.83 -> [21340] ~(left_apart_point(A39_1565_9, L40_1565_9) | left_apart_point(A39_1565_9, reverse_line(L40_1565_9)))
% 293.41/42.83
% 293.41/42.83 [21340] ALPHA_NOT_OR : ~(left_apart_point(A39_1565_9, L40_1565_9) | left_apart_point(A39_1565_9, reverse_line(L40_1565_9)))
% 293.41/42.83 -> [21341] ~left_apart_point(A39_1565_9, L40_1565_9), ~left_apart_point(A39_1565_9, reverse_line(L40_1565_9))
% 293.41/42.83
% 293.41/42.83 [21341] CLOSURE : ~left_apart_point(A39_1565_9, L40_1565_9)
% 293.41/42.83
% 293.41/42.83 [21262] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.83 -> [21358] ~(left_apart_point(A39_1569_9, L40_1569_9) | left_apart_point(A39_1569_9, reverse_line(L40_1569_9)))
% 293.41/42.83
% 293.41/42.83 [21358] ALPHA_NOT_OR : ~(left_apart_point(A39_1569_9, L40_1569_9) | left_apart_point(A39_1569_9, reverse_line(L40_1569_9)))
% 293.41/42.83 -> [21362] ~left_apart_point(A39_1569_9, L40_1569_9), ~left_apart_point(A39_1569_9, reverse_line(L40_1569_9))
% 293.41/42.83
% 293.41/42.83 [21362] CLOSURE : ~left_apart_point(A39_1569_9, L40_1569_9)
% 293.41/42.83
% 293.41/42.83 [21257] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_821_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_821_8)))
% 293.41/42.83 -> [21283] ~unequally_directed_lines(skolem_N7979, M38_821_8)
% 293.41/42.83 -> [21284] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_821_8))
% 293.41/42.83
% 293.41/42.83 [21283] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_821_8)
% 293.41/42.83
% 293.41/42.83 [21284] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_821_8))
% 293.41/42.83
% 293.41/42.83 [1569] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.41/42.83 -> [1648] ~distinct_points(skolem_C8282, skolem_C8282)
% 293.41/42.83
% 293.41/42.83 [1648] 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))))
% 293.41/42.83 -> [1870] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.41/42.83
% 293.41/42.83 [1870] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.41/42.83 -> [1871] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.83 -> [1872] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.41/42.83
% 293.41/42.83 [1871] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.83
% 293.41/42.83 [1872] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.41/42.83 -> [6344] distinct_points(skolem_B8181, skolem_C8282)
% 293.41/42.83 -> [6345] distinct_points(skolem_C8282, skolem_C8282)
% 293.41/42.83
% 293.41/42.83 [6345] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 293.41/42.83
% 293.41/42.83 [6344] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.41/42.83 -> [7942] ~distinct_lines(N27_262_3, N27_262_3)
% 293.41/42.83
% 293.41/42.83 [7942] 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))))
% 293.41/42.83 -> [8568] (distinct_lines(N27_262_3, N27_262_3) => (distinct_lines(N27_262_3, N27_262_3) | distinct_lines(N27_262_3, N27_262_3)))
% 293.41/42.83
% 293.41/42.83 [8568] BETA_IMPLY : (distinct_lines(N27_262_3, N27_262_3) => (distinct_lines(N27_262_3, N27_262_3) | distinct_lines(N27_262_3, N27_262_3)))
% 293.41/42.83 -> [8569] ~distinct_lines(N27_262_3, N27_262_3)
% 293.41/42.83 -> [8570] (distinct_lines(N27_262_3, N27_262_3) | distinct_lines(N27_262_3, N27_262_3))
% 293.41/42.83
% 293.41/42.83 [8570] BETA_OR : (distinct_lines(N27_262_3, N27_262_3) | distinct_lines(N27_262_3, N27_262_3))
% 293.41/42.83 -> [8571] distinct_lines(N27_262_3, N27_262_3)
% 293.41/42.83 -> [8572] distinct_lines(N27_262_3, N27_262_3)
% 293.41/42.83
% 293.41/42.83 [8572] CLOSURE : distinct_lines(N27_262_3, N27_262_3)
% 293.41/42.83
% 293.41/42.83 [8571] CLOSURE : distinct_lines(N27_262_3, N27_262_3)
% 293.41/42.83
% 293.41/42.83 [8569] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.41/42.83 -> [9288] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.83
% 293.41/42.83 [9288] 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))))
% 293.41/42.83 -> [11666] (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)))
% 293.41/42.83
% 293.41/42.83 [11666] 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)))
% 293.41/42.83 -> [11667] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.83 -> [11668] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.41/42.83
% 293.41/42.83 [11667] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.83
% 293.41/42.83 [11668] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.41/42.83 -> [17409] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.83 -> [17410] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.41/42.83
% 293.41/42.83 [17409] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.83
% 293.41/42.83 [17410] 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))))))
% 293.41/42.83 -> [24256] ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))))
% 293.41/42.83
% 293.41/42.83 [24256] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))))
% 293.41/42.83 -> [24259] ~(unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.41/42.83 -> [24260] ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.41/42.83
% 293.41/42.83 [24260] BETA_OR : ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.41/42.83 -> [24265] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.41/42.83 -> [24266] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.41/42.83
% 293.41/42.83 [24265] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.41/42.83 -> [25411] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.41/42.83
% 293.41/42.83 [25411] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.83
% 293.41/42.83 [24267] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.83
% 293.41/42.83 [24259] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.41/42.83 -> [26350] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.83 -> [26351] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.41/42.83
% 293.41/42.83 [26351] 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)))))
% 293.41/42.83 -> [26391] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.41/42.83
% 293.41/42.83 [26391] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.41/42.83 -> [26392] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.41/42.83 -> [26393] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.41/42.83
% 293.41/42.83 [26393] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.41/42.83 -> [26433] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.83 -> [26434] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.41/42.83
% 293.41/42.83 [26433] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.83
% 293.41/42.83 [26434] CLOSURE : unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.41/42.83
% 293.41/42.83 [26392] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.41/42.83 -> [26436] ~line(skolem_M7878)
% 293.41/42.83 -> [26437] ~line(skolem_M7878)
% 293.41/42.83
% 293.41/42.83 [26436] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.83 -> [26454] ((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))))
% 293.41/42.83
% 293.41/42.83 [26454] 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))))
% 293.41/42.83 -> [26455] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.83 -> [26456] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.83
% 293.41/42.83 [26456] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.83 -> [26457] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.41/42.83 -> [26458] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.83
% 293.41/42.83 [26458] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.83 -> [26493] ~(left_apart_point(A39_2345_9, L40_2345_9) | left_apart_point(A39_2345_9, reverse_line(L40_2345_9)))
% 293.41/42.83
% 293.41/42.83 [26493] ALPHA_NOT_OR : ~(left_apart_point(A39_2345_9, L40_2345_9) | left_apart_point(A39_2345_9, reverse_line(L40_2345_9)))
% 293.41/42.83 -> [26495] ~left_apart_point(A39_2345_9, L40_2345_9), ~left_apart_point(A39_2345_9, reverse_line(L40_2345_9))
% 293.41/42.83
% 293.41/42.83 [26495] CLOSURE : ~left_apart_point(A39_2345_9, L40_2345_9)
% 293.41/42.83
% 293.41/42.83 [26457] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.83 -> [26500] ~(left_apart_point(A39_2346_9, L40_2346_9) | left_apart_point(A39_2346_9, reverse_line(L40_2346_9)))
% 293.41/42.83
% 293.41/42.83 [26500] ALPHA_NOT_OR : ~(left_apart_point(A39_2346_9, L40_2346_9) | left_apart_point(A39_2346_9, reverse_line(L40_2346_9)))
% 293.41/42.83 -> [26501] ~left_apart_point(A39_2346_9, L40_2346_9), ~left_apart_point(A39_2346_9, reverse_line(L40_2346_9))
% 293.41/42.83
% 293.41/42.83 [26501] CLOSURE : ~left_apart_point(A39_2346_9, L40_2346_9)
% 293.41/42.83
% 293.41/42.83 [26455] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.83 -> [26468] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.83 -> [26469] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.83
% 293.41/42.83 [26469] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.83
% 293.41/42.83 [26468] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.83
% 293.41/42.83 [26437] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.83 -> [26449] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.83
% 293.41/42.83 [26449] 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))))
% 293.41/42.83 -> [26450] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.83 -> [26451] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.83
% 293.41/42.83 [26450] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.83 -> [26459] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.83 -> [26460] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.83
% 293.41/42.83 [26459] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.83
% 293.41/42.83 [26460] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.83
% 293.41/42.83 [26451] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.83 -> [26452] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.83 -> [26453] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.83
% 293.41/42.83 [26453] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.83 -> [26483] ~(left_apart_point(A39_2343_9, L40_2343_9) | left_apart_point(A39_2343_9, reverse_line(L40_2343_9)))
% 293.41/42.83
% 293.41/42.83 [26483] ALPHA_NOT_OR : ~(left_apart_point(A39_2343_9, L40_2343_9) | left_apart_point(A39_2343_9, reverse_line(L40_2343_9)))
% 293.41/42.83 -> [26486] ~left_apart_point(A39_2343_9, L40_2343_9), ~left_apart_point(A39_2343_9, reverse_line(L40_2343_9))
% 293.41/42.83
% 293.41/42.83 [26486] CLOSURE : ~left_apart_point(A39_2343_9, L40_2343_9)
% 293.41/42.83
% 293.41/42.83 [26452] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.83 -> [26552] ~(left_apart_point(A39_2358_9, L40_2358_9) | left_apart_point(A39_2358_9, reverse_line(L40_2358_9)))
% 293.41/42.83
% 293.41/42.83 [26552] ALPHA_NOT_OR : ~(left_apart_point(A39_2358_9, L40_2358_9) | left_apart_point(A39_2358_9, reverse_line(L40_2358_9)))
% 293.41/42.83 -> [26555] ~left_apart_point(A39_2358_9, L40_2358_9), ~left_apart_point(A39_2358_9, reverse_line(L40_2358_9))
% 293.41/42.83
% 293.41/42.83 [26555] CLOSURE : ~left_apart_point(A39_2358_9, L40_2358_9)
% 293.41/42.83
% 293.41/42.83 [26350] 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)))))
% 293.41/42.83 -> [26378] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.41/42.83
% 293.41/42.83 [26378] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.41/42.83 -> [26379] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.41/42.83 -> [26380] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.41/42.83
% 293.41/42.83 [26379] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.41/42.83 -> [26480] ~line(skolem_M7878)
% 293.41/42.83 -> [26481] ~line(skolem_M7878)
% 293.41/42.83
% 293.41/42.83 [26480] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.83 -> [26523] ((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))))
% 293.41/42.83
% 293.41/42.83 [26523] 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))))
% 293.41/42.83 -> [26525] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.83 -> [26526] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.83
% 293.41/42.83 [26526] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.83 -> [26527] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.41/42.83 -> [26528] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.83
% 293.41/42.83 [26528] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.83 -> [26585] ~(left_apart_point(A39_2365_9, L40_2365_9) | left_apart_point(A39_2365_9, reverse_line(L40_2365_9)))
% 293.41/42.83
% 293.41/42.83 [26585] ALPHA_NOT_OR : ~(left_apart_point(A39_2365_9, L40_2365_9) | left_apart_point(A39_2365_9, reverse_line(L40_2365_9)))
% 293.41/42.83 -> [26587] ~left_apart_point(A39_2365_9, L40_2365_9), ~left_apart_point(A39_2365_9, reverse_line(L40_2365_9))
% 293.41/42.83
% 293.41/42.83 [26587] CLOSURE : ~left_apart_point(A39_2365_9, L40_2365_9)
% 293.41/42.83
% 293.41/42.83 [26527] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.83 -> [26590] ~(left_apart_point(A39_2367_9, L40_2367_9) | left_apart_point(A39_2367_9, reverse_line(L40_2367_9)))
% 293.41/42.83
% 293.41/42.83 [26590] ALPHA_NOT_OR : ~(left_apart_point(A39_2367_9, L40_2367_9) | left_apart_point(A39_2367_9, reverse_line(L40_2367_9)))
% 293.41/42.83 -> [26591] ~left_apart_point(A39_2367_9, L40_2367_9), ~left_apart_point(A39_2367_9, reverse_line(L40_2367_9))
% 293.41/42.83
% 293.41/42.83 [26591] CLOSURE : ~left_apart_point(A39_2367_9, L40_2367_9)
% 293.41/42.83
% 293.41/42.83 [26525] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.83 -> [26531] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.83 -> [26532] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.83
% 293.41/42.83 [26531] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.83
% 293.41/42.83 [26532] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.83
% 293.41/42.83 [26481] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.83 -> [26529] ((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))))
% 293.41/42.83
% 293.41/42.83 [26529] 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))))
% 293.41/42.83 -> [26533] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.83 -> [26534] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.83
% 293.41/42.83 [26534] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.83 -> [26536] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.41/42.83 -> [26537] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.83
% 293.41/42.83 [26536] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.83 -> [26584] ~(left_apart_point(A39_2364_9, L40_2364_9) | left_apart_point(A39_2364_9, reverse_line(L40_2364_9)))
% 293.41/42.83
% 293.41/42.83 [26584] ALPHA_NOT_OR : ~(left_apart_point(A39_2364_9, L40_2364_9) | left_apart_point(A39_2364_9, reverse_line(L40_2364_9)))
% 293.41/42.83 -> [26586] ~left_apart_point(A39_2364_9, L40_2364_9), ~left_apart_point(A39_2364_9, reverse_line(L40_2364_9))
% 293.41/42.83
% 293.41/42.83 [26586] CLOSURE : ~left_apart_point(A39_2364_9, L40_2364_9)
% 293.41/42.83
% 293.41/42.83 [26537] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.83 -> [26588] ~(left_apart_point(A39_2366_9, L40_2366_9) | left_apart_point(A39_2366_9, reverse_line(L40_2366_9)))
% 293.41/42.83
% 293.41/42.83 [26588] ALPHA_NOT_OR : ~(left_apart_point(A39_2366_9, L40_2366_9) | left_apart_point(A39_2366_9, reverse_line(L40_2366_9)))
% 293.41/42.83 -> [26589] ~left_apart_point(A39_2366_9, L40_2366_9), ~left_apart_point(A39_2366_9, reverse_line(L40_2366_9))
% 293.41/42.83
% 293.41/42.83 [26589] CLOSURE : ~left_apart_point(A39_2366_9, L40_2366_9)
% 293.41/42.83
% 293.41/42.83 [26533] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.83 -> [26545] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.83 -> [26546] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.83
% 293.41/42.83 [26546] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.83
% 293.41/42.83 [26545] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.83
% 293.41/42.83 [26380] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.41/42.83 -> [26381] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.83 -> [26382] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.41/42.83
% 293.41/42.83 [26381] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.41/42.83
% 293.41/42.83 [26382] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.83 -> [26506] ((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))))
% 293.41/42.83
% 293.41/42.83 [26506] 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))))
% 293.41/42.83 -> [26508] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.83 -> [26509] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.83
% 293.41/42.83 [26509] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.83 -> [26511] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.41/42.83 -> [26512] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.83
% 293.41/42.83 [26511] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.83 -> [26520] ~(left_apart_point(A39_2352_9, L40_2352_9) | left_apart_point(A39_2352_9, reverse_line(L40_2352_9)))
% 293.41/42.83
% 293.41/42.83 [26520] ALPHA_NOT_OR : ~(left_apart_point(A39_2352_9, L40_2352_9) | left_apart_point(A39_2352_9, reverse_line(L40_2352_9)))
% 293.41/42.83 -> [26522] ~left_apart_point(A39_2352_9, L40_2352_9), ~left_apart_point(A39_2352_9, reverse_line(L40_2352_9))
% 293.41/42.83
% 293.41/42.83 [26522] CLOSURE : ~left_apart_point(A39_2352_9, L40_2352_9)
% 293.41/42.83
% 293.41/42.83 [26512] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.83 -> [26540] ~(left_apart_point(A39_2356_9, L40_2356_9) | left_apart_point(A39_2356_9, reverse_line(L40_2356_9)))
% 293.41/42.83
% 293.41/42.83 [26540] ALPHA_NOT_OR : ~(left_apart_point(A39_2356_9, L40_2356_9) | left_apart_point(A39_2356_9, reverse_line(L40_2356_9)))
% 293.41/42.83 -> [26544] ~left_apart_point(A39_2356_9, L40_2356_9), ~left_apart_point(A39_2356_9, reverse_line(L40_2356_9))
% 293.41/42.83
% 293.41/42.83 [26544] CLOSURE : ~left_apart_point(A39_2356_9, L40_2356_9)
% 293.41/42.83
% 293.41/42.83 [26508] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.83 -> [26549] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.83 -> [26550] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.83
% 293.41/42.83 [26550] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.83
% 293.41/42.83 [26549] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.83
% 293.41/42.83 [23] Rewrite : ~before_on_line(skolem_M7878, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))
% 293.41/42.83 -> [27] ~(((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))) & ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.41/42.83
% 293.41/42.83 [27] 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)))
% 293.41/42.83 -> [35] (before_on_line(skolem_L7777, skolem_A8080, skolem_B8181) & before_on_line(skolem_L7777, skolem_B8181, skolem_C8282))
% 293.41/42.83 -> [36] (before_on_line(skolem_L7777, skolem_C8282, skolem_B8181) & before_on_line(skolem_L7777, skolem_B8181, skolem_A8080))
% 293.41/42.83
% 293.41/42.83 [36] ALPHA_AND : (before_on_line(skolem_L7777, skolem_C8282, skolem_B8181) & before_on_line(skolem_L7777, skolem_B8181, skolem_A8080))
% 293.41/42.83 -> [44] before_on_line(skolem_L7777, skolem_C8282, skolem_B8181), before_on_line(skolem_L7777, skolem_B8181, skolem_A8080)
% 293.41/42.83
% 293.41/42.83 [44] Rewrite : before_on_line(skolem_L7777, skolem_C8282, skolem_B8181)
% 293.41/42.83 -> [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)))
% 293.41/42.83
% 293.41/42.83 [52] Rewrite : before_on_line(skolem_L7777, skolem_B8181, skolem_A8080)
% 293.41/42.83 -> [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)))
% 293.41/42.83
% 293.41/42.83 [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)))
% 293.41/42.83 -> [68] ((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))
% 293.41/42.83
% 293.41/42.83 [68] 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)))
% 293.41/42.83 -> [74] ((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))
% 293.41/42.83
% 293.41/42.83 [74] 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))))
% 293.41/42.83 -> [92] (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)))
% 293.41/42.83
% 293.41/42.83 [92] 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))))
% 293.41/42.83 -> [96] (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)))
% 293.41/42.83
% 293.41/42.83 [96] ALPHA_AND : (distinct_points(skolem_C8282, skolem_B8181) & ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777))))
% 293.41/42.83 -> [99] distinct_points(skolem_C8282, skolem_B8181), ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))
% 293.41/42.83
% 293.41/42.83 [99] ALPHA_NOT_OR : ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))
% 293.41/42.83 -> [108] ~left_apart_point(skolem_B8181, skolem_L7777), ~left_apart_point(skolem_B8181, reverse_line(skolem_L7777))
% 293.41/42.83
% 293.41/42.83 [108] ALPHA_AND : (distinct_points(skolem_B8181, skolem_A8080) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777))))
% 293.41/42.83 -> [116] distinct_points(skolem_B8181, skolem_A8080), ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))
% 293.41/42.83
% 293.41/42.83 [116] ALPHA_NOT_OR : ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))
% 293.41/42.83 -> [124] ~left_apart_point(skolem_A8080, skolem_L7777), ~left_apart_point(skolem_A8080, reverse_line(skolem_L7777))
% 293.41/42.83
% 293.41/42.83 [124] ALPHA_NOT_OR : ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))
% 293.41/42.83 -> [131] ~left_apart_point(skolem_C8282, skolem_L7777), ~left_apart_point(skolem_C8282, reverse_line(skolem_L7777))
% 293.41/42.83
% 293.41/42.83 [131] ALPHA_NOT_OR : ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))
% 293.41/42.83 -> [139] ~left_apart_point(skolem_B8181, skolem_L7777), ~left_apart_point(skolem_B8181, reverse_line(skolem_L7777))
% 293.41/42.83
% 293.41/42.83 [139] BETA_NOT_AND : ~(((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.41/42.83 -> [179] ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.41/42.83 -> [180] ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.83
% 293.41/42.83 [180] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.83 -> [568] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.83
% 293.41/42.83 [568] BETA_NOT_AND : ~(((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))) & ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.41/42.83 -> [1006] ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.41/42.83 -> [1007] ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.41/42.83
% 293.41/42.83 [1007] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.41/42.83 -> [1010] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.41/42.83
% 293.41/42.83 [1010] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.41/42.83 -> [1283] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.83
% 293.41/42.83 [1283] 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))))
% 293.41/42.83 -> [1596] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.41/42.83
% 293.41/42.83 [1596] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.41/42.83 -> [1597] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.41/42.83 -> [1598] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.41/42.83
% 293.41/42.83 [1597] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.41/42.83
% 293.41/42.83 [1598] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.41/42.83 -> [3608] distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.83 -> [3609] distinct_points(skolem_A8080, skolem_B8181)
% 293.41/42.83
% 293.41/42.83 [3608] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.83
% 293.41/42.83 [3609] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.41/42.83 -> [3981] ~distinct_lines(N27_85_3, N27_85_3)
% 293.41/42.83
% 293.41/42.83 [3981] 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))))
% 293.41/42.83 -> [3994] (distinct_lines(N27_85_3, N27_85_3) => (distinct_lines(N27_85_3, N27_85_3) | distinct_lines(N27_85_3, N27_85_3)))
% 293.41/42.83
% 293.41/42.83 [3994] 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)))
% 293.41/42.83 -> [3997] ~distinct_lines(N27_85_3, N27_85_3)
% 293.41/42.83 -> [3998] (distinct_lines(N27_85_3, N27_85_3) | distinct_lines(N27_85_3, N27_85_3))
% 293.41/42.83
% 293.41/42.83 [3998] BETA_OR : (distinct_lines(N27_85_3, N27_85_3) | distinct_lines(N27_85_3, N27_85_3))
% 293.41/42.83 -> [4001] distinct_lines(N27_85_3, N27_85_3)
% 293.41/42.83 -> [4002] distinct_lines(N27_85_3, N27_85_3)
% 293.41/42.83
% 293.41/42.83 [4002] CLOSURE : distinct_lines(N27_85_3, N27_85_3)
% 293.41/42.83
% 293.41/42.83 [4001] CLOSURE : distinct_lines(N27_85_3, N27_85_3)
% 293.41/42.83
% 293.41/42.83 [3997] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.41/42.83 -> [4029] ~unequally_directed_lines(skolem_N7979, skolem_N7979)
% 293.41/42.83
% 293.41/42.83 [4029] 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))))
% 293.41/42.83 -> [4048] (unequally_directed_lines(skolem_M7878, skolem_N7979) => (unequally_directed_lines(skolem_M7878, skolem_N7979) | unequally_directed_lines(skolem_N7979, skolem_N7979)))
% 293.41/42.83
% 293.41/42.83 [4048] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, skolem_N7979) => (unequally_directed_lines(skolem_M7878, skolem_N7979) | unequally_directed_lines(skolem_N7979, skolem_N7979)))
% 293.41/42.83 -> [4050] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.83 -> [4051] (unequally_directed_lines(skolem_M7878, skolem_N7979) | unequally_directed_lines(skolem_N7979, skolem_N7979))
% 293.41/42.83
% 293.41/42.83 [4050] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.83
% 293.41/42.83 [4051] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_N7979) | unequally_directed_lines(skolem_N7979, skolem_N7979))
% 293.41/42.83 -> [6274] unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.83 -> [6275] unequally_directed_lines(skolem_N7979, skolem_N7979)
% 293.41/42.83
% 293.41/42.83 [6275] CLOSURE : unequally_directed_lines(skolem_N7979, skolem_N7979)
% 293.41/42.83
% 293.41/42.83 [6274] 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))))))
% 293.41/42.83 -> [7078] ((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)))))
% 293.41/42.83
% 293.41/42.83 [7078] 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)))))
% 293.41/42.83 -> [7079] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.83 -> [7080] ((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))))
% 293.41/42.83
% 293.41/42.83 [7079] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.83 -> [7103] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.83 -> [7104] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.83
% 293.41/42.83 [7104] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.83
% 293.41/42.83 [7103] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.83
% 293.41/42.83 [7080] 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))))
% 293.41/42.83 -> [13970] (unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.83 -> [13971] (unequally_directed_lines(skolem_N7979, skolem_N7979) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979)))
% 293.41/42.83
% 293.41/42.83 [13971] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_N7979) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979)))
% 293.41/42.83 -> [13973] unequally_directed_lines(skolem_N7979, skolem_N7979), unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979))
% 293.41/42.83
% 293.41/42.83 [13973] CLOSURE : unequally_directed_lines(skolem_N7979, skolem_N7979)
% 293.41/42.83
% 293.41/42.83 [13970] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.83 -> [14009] unequally_directed_lines(skolem_M7878, skolem_N7979), unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.83
% 293.41/42.83 [14009] 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)))))
% 293.41/42.83 -> [14172] ((line(skolem_N7979) & line(skolem_N7979)) => (unequally_directed_lines(skolem_N7979, skolem_N7979) | unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979))))
% 293.41/42.83
% 293.41/42.83 [14172] BETA_IMPLY : ((line(skolem_N7979) & line(skolem_N7979)) => (unequally_directed_lines(skolem_N7979, skolem_N7979) | unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979))))
% 293.41/42.83 -> [14173] ~(line(skolem_N7979) & line(skolem_N7979))
% 293.41/42.83 -> [14174] (unequally_directed_lines(skolem_N7979, skolem_N7979) | unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979)))
% 293.41/42.83
% 293.41/42.83 [14174] BETA_OR : (unequally_directed_lines(skolem_N7979, skolem_N7979) | unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979)))
% 293.41/42.83 -> [14182] unequally_directed_lines(skolem_N7979, skolem_N7979)
% 293.41/42.83 -> [14183] unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979))
% 293.41/42.83
% 293.41/42.83 [14182] CLOSURE : unequally_directed_lines(skolem_N7979, skolem_N7979)
% 293.41/42.83
% 293.41/42.83 [14183] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.83 -> [14370] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.83
% 293.41/42.83 [14370] 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))))
% 293.41/42.83 -> [14373] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.83 -> [14374] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.83
% 293.41/42.83 [14373] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.83 -> [14484] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.83 -> [14485] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.83
% 293.41/42.83 [14485] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.83
% 293.41/42.83 [14484] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.83
% 293.41/42.83 [14374] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.83 -> [14379] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.83 -> [14380] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.83
% 293.41/42.83 [14379] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.83 -> [14844] ~(left_apart_point(A39_803_9, L40_803_9) | left_apart_point(A39_803_9, reverse_line(L40_803_9)))
% 293.41/42.83
% 293.41/42.83 [14844] ALPHA_NOT_OR : ~(left_apart_point(A39_803_9, L40_803_9) | left_apart_point(A39_803_9, reverse_line(L40_803_9)))
% 293.41/42.83 -> [14848] ~left_apart_point(A39_803_9, L40_803_9), ~left_apart_point(A39_803_9, reverse_line(L40_803_9))
% 293.41/42.83
% 293.41/42.83 [14848] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.41/42.83 -> [15484] ~(left_convergent_lines(L41_106_10, M42_106_10) | left_convergent_lines(L41_106_10, reverse_line(M42_106_10)))
% 293.41/42.83
% 293.41/42.83 [15484] ALPHA_NOT_OR : ~(left_convergent_lines(L41_106_10, M42_106_10) | left_convergent_lines(L41_106_10, reverse_line(M42_106_10)))
% 293.41/42.83 -> [15487] ~left_convergent_lines(L41_106_10, M42_106_10), ~left_convergent_lines(L41_106_10, reverse_line(M42_106_10))
% 293.41/42.83
% 293.41/42.83 [15487] CLOSURE : ~left_convergent_lines(L41_106_10, M42_106_10)
% 293.41/42.83
% 293.41/42.83 [14380] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.83 -> [14854] ~(left_apart_point(A39_804_9, L40_804_9) | left_apart_point(A39_804_9, reverse_line(L40_804_9)))
% 293.41/42.83
% 293.41/42.83 [14854] ALPHA_NOT_OR : ~(left_apart_point(A39_804_9, L40_804_9) | left_apart_point(A39_804_9, reverse_line(L40_804_9)))
% 293.41/42.83 -> [14859] ~left_apart_point(A39_804_9, L40_804_9), ~left_apart_point(A39_804_9, reverse_line(L40_804_9))
% 293.41/42.83
% 293.41/42.83 [14859] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.41/42.83 -> [15492] ~(left_convergent_lines(L41_107_10, M42_107_10) | left_convergent_lines(L41_107_10, reverse_line(M42_107_10)))
% 293.41/42.83
% 293.41/42.83 [15492] ALPHA_NOT_OR : ~(left_convergent_lines(L41_107_10, M42_107_10) | left_convergent_lines(L41_107_10, reverse_line(M42_107_10)))
% 293.41/42.83 -> [15495] ~left_convergent_lines(L41_107_10, M42_107_10), ~left_convergent_lines(L41_107_10, reverse_line(M42_107_10))
% 293.41/42.83
% 293.41/42.83 [15495] CLOSURE : ~left_convergent_lines(L41_107_10, M42_107_10)
% 293.41/42.83
% 293.41/42.83 [14173] BETA_NOT_AND : ~(line(skolem_N7979) & line(skolem_N7979))
% 293.41/42.83 -> [14227] ~line(skolem_N7979)
% 293.41/42.83 -> [14228] ~line(skolem_N7979)
% 293.41/42.83
% 293.41/42.83 [14228] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.83 -> [14468] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.83
% 293.41/42.83 [14468] 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))))
% 293.41/42.83 -> [14472] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.83 -> [14473] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.83
% 293.41/42.83 [14472] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.83 -> [14570] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.83 -> [14571] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.83
% 293.41/42.83 [14571] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.83
% 293.41/42.83 [14570] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.83
% 293.41/42.83 [14473] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.83 -> [14478] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.83 -> [14479] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.83
% 293.41/42.83 [14478] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.83 -> [14927] ~(left_apart_point(A39_812_9, L40_812_9) | left_apart_point(A39_812_9, reverse_line(L40_812_9)))
% 293.41/42.83
% 293.41/42.83 [14927] ALPHA_NOT_OR : ~(left_apart_point(A39_812_9, L40_812_9) | left_apart_point(A39_812_9, reverse_line(L40_812_9)))
% 293.41/42.83 -> [14931] ~left_apart_point(A39_812_9, L40_812_9), ~left_apart_point(A39_812_9, reverse_line(L40_812_9))
% 293.41/42.83
% 293.41/42.83 [14931] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.41/42.83 -> [15622] ~(left_convergent_lines(L41_110_10, M42_110_10) | left_convergent_lines(L41_110_10, reverse_line(M42_110_10)))
% 293.41/42.83
% 293.41/42.83 [15622] ALPHA_NOT_OR : ~(left_convergent_lines(L41_110_10, M42_110_10) | left_convergent_lines(L41_110_10, reverse_line(M42_110_10)))
% 293.41/42.83 -> [15626] ~left_convergent_lines(L41_110_10, M42_110_10), ~left_convergent_lines(L41_110_10, reverse_line(M42_110_10))
% 293.41/42.83
% 293.41/42.83 [15626] CLOSURE : ~left_convergent_lines(L41_110_10, M42_110_10)
% 293.41/42.83
% 293.41/42.83 [14479] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.83 -> [14935] ~(left_apart_point(A39_814_9, L40_814_9) | left_apart_point(A39_814_9, reverse_line(L40_814_9)))
% 293.41/42.83
% 293.41/42.83 [14935] ALPHA_NOT_OR : ~(left_apart_point(A39_814_9, L40_814_9) | left_apart_point(A39_814_9, reverse_line(L40_814_9)))
% 293.41/42.83 -> [14938] ~left_apart_point(A39_814_9, L40_814_9), ~left_apart_point(A39_814_9, reverse_line(L40_814_9))
% 293.41/42.83
% 293.41/42.83 [14938] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.41/42.83 -> [15630] ~(left_convergent_lines(L41_111_10, M42_111_10) | left_convergent_lines(L41_111_10, reverse_line(M42_111_10)))
% 293.41/42.83
% 293.41/42.83 [15630] ALPHA_NOT_OR : ~(left_convergent_lines(L41_111_10, M42_111_10) | left_convergent_lines(L41_111_10, reverse_line(M42_111_10)))
% 293.41/42.83 -> [15632] ~left_convergent_lines(L41_111_10, M42_111_10), ~left_convergent_lines(L41_111_10, reverse_line(M42_111_10))
% 293.41/42.83
% 293.41/42.83 [15632] CLOSURE : ~left_convergent_lines(L41_111_10, M42_111_10)
% 293.41/42.83
% 293.41/42.83 [14227] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.83 -> [14449] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.41/42.83
% 293.41/42.83 [14449] 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))))
% 293.41/42.83 -> [14454] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.83 -> [14455] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.83
% 293.41/42.83 [14455] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.83 -> [14460] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.41/42.83 -> [14461] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.83
% 293.41/42.83 [14460] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.83 -> [14986] ~(left_apart_point(A39_826_9, L40_826_9) | left_apart_point(A39_826_9, reverse_line(L40_826_9)))
% 293.41/42.83
% 293.41/42.83 [14986] ALPHA_NOT_OR : ~(left_apart_point(A39_826_9, L40_826_9) | left_apart_point(A39_826_9, reverse_line(L40_826_9)))
% 293.41/42.83 -> [14990] ~left_apart_point(A39_826_9, L40_826_9), ~left_apart_point(A39_826_9, reverse_line(L40_826_9))
% 293.41/42.83
% 293.41/42.83 [14990] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.41/42.83 -> [15059] ~(left_convergent_lines(L41_96_10, M42_96_10) | left_convergent_lines(L41_96_10, reverse_line(M42_96_10)))
% 293.41/42.83
% 293.41/42.83 [15059] ALPHA_NOT_OR : ~(left_convergent_lines(L41_96_10, M42_96_10) | left_convergent_lines(L41_96_10, reverse_line(M42_96_10)))
% 293.41/42.83 -> [15060] ~left_convergent_lines(L41_96_10, M42_96_10), ~left_convergent_lines(L41_96_10, reverse_line(M42_96_10))
% 293.41/42.83
% 293.41/42.83 [15060] CLOSURE : ~left_convergent_lines(L41_96_10, M42_96_10)
% 293.41/42.83
% 293.41/42.83 [14461] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.83 -> [14833] ~(left_apart_point(A39_799_9, L40_799_9) | left_apart_point(A39_799_9, reverse_line(L40_799_9)))
% 293.41/42.83
% 293.41/42.83 [14833] ALPHA_NOT_OR : ~(left_apart_point(A39_799_9, L40_799_9) | left_apart_point(A39_799_9, reverse_line(L40_799_9)))
% 293.41/42.83 -> [14835] ~left_apart_point(A39_799_9, L40_799_9), ~left_apart_point(A39_799_9, reverse_line(L40_799_9))
% 293.41/42.83
% 293.41/42.83 [14835] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.41/42.83 -> [15612] ~(left_convergent_lines(L41_109_10, M42_109_10) | left_convergent_lines(L41_109_10, reverse_line(M42_109_10)))
% 293.41/42.83
% 293.41/42.83 [15612] ALPHA_NOT_OR : ~(left_convergent_lines(L41_109_10, M42_109_10) | left_convergent_lines(L41_109_10, reverse_line(M42_109_10)))
% 293.41/42.83 -> [15615] ~left_convergent_lines(L41_109_10, M42_109_10), ~left_convergent_lines(L41_109_10, reverse_line(M42_109_10))
% 293.41/42.83
% 293.41/42.83 [15615] CLOSURE : ~left_convergent_lines(L41_109_10, M42_109_10)
% 293.41/42.83
% 293.41/42.83 [14454] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.41/42.83 -> [14555] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.83 -> [14556] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.83
% 293.41/42.83 [14556] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.41/42.83
% 293.41/42.83 [14555] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.41/42.83
% 293.41/42.83 [1006] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.41/42.83 -> [1272] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.41/42.83 -> [1273] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.41/42.83
% 293.41/42.83 [1273] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.41/42.83 -> [1274] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.41/42.83
% 293.41/42.83 [1274] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.41/42.83 -> [1277] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.41/42.83 -> [1278] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.41/42.83
% 293.41/42.83 [1278] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.41/42.83 -> [1412] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.83
% 293.41/42.83 [1412] 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))))
% 293.41/42.83 -> [1462] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.41/42.83
% 293.41/42.83 [1462] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.41/42.83 -> [1467] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.41/42.83 -> [1468] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.41/42.83
% 293.41/42.83 [1467] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.41/42.83
% 293.41/42.83 [1468] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.41/42.83 -> [3592] distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.83 -> [3593] distinct_points(skolem_A8080, skolem_B8181)
% 293.41/42.83
% 293.41/42.83 [3592] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.41/42.83
% 293.41/42.83 [3593] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.41/42.83 -> [5314] ~distinct_lines(N27_152_3, N27_152_3)
% 293.41/42.83
% 293.41/42.83 [5314] 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))))
% 293.41/42.83 -> [5448] (distinct_lines(N27_152_3, N27_152_3) => (distinct_lines(N27_152_3, N27_152_3) | distinct_lines(N27_152_3, N27_152_3)))
% 293.41/42.83
% 293.41/42.83 [5448] BETA_IMPLY : (distinct_lines(N27_152_3, N27_152_3) => (distinct_lines(N27_152_3, N27_152_3) | distinct_lines(N27_152_3, N27_152_3)))
% 293.41/42.83 -> [5450] ~distinct_lines(N27_152_3, N27_152_3)
% 293.41/42.83 -> [5451] (distinct_lines(N27_152_3, N27_152_3) | distinct_lines(N27_152_3, N27_152_3))
% 293.41/42.83
% 293.41/42.83 [5451] BETA_OR : (distinct_lines(N27_152_3, N27_152_3) | distinct_lines(N27_152_3, N27_152_3))
% 293.41/42.83 -> [5453] distinct_lines(N27_152_3, N27_152_3)
% 293.41/42.83 -> [5454] distinct_lines(N27_152_3, N27_152_3)
% 293.41/42.83
% 293.41/42.83 [5454] CLOSURE : distinct_lines(N27_152_3, N27_152_3)
% 293.41/42.83
% 293.41/42.83 [5453] CLOSURE : distinct_lines(N27_152_3, N27_152_3)
% 293.41/42.83
% 293.41/42.83 [5450] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.41/42.83 -> [5581] ~unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.83
% 293.41/42.83 [5581] 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))))
% 293.41/42.83 -> [5719] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.41/42.83
% 293.41/42.83 [5719] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.41/42.83 -> [5720] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.83 -> [5721] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.41/42.83
% 293.41/42.83 [5720] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.83
% 293.41/42.83 [5721] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.41/42.83 -> [8785] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.83 -> [8786] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.83
% 293.41/42.83 [8786] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.83
% 293.41/42.83 [8785] 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))))))
% 293.41/42.83 -> [11571] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_155_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_155_6))) | (unequally_directed_lines(skolem_N7979, N34_155_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_155_6)))))
% 293.41/42.83
% 293.41/42.83 [11571] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_155_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_155_6))) | (unequally_directed_lines(skolem_N7979, N34_155_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_155_6)))))
% 293.41/42.83 -> [11573] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.83 -> [11574] ((unequally_directed_lines(skolem_M7878, N34_155_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_155_6))) | (unequally_directed_lines(skolem_N7979, N34_155_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_155_6))))
% 293.41/42.83
% 293.41/42.83 [11573] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.41/42.83 -> [11590] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.83 -> [11591] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.83
% 293.41/42.83 [11590] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.41/42.83
% 293.41/42.83 [11591] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.41/42.83
% 293.41/42.83 [11574] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_155_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_155_6))) | (unequally_directed_lines(skolem_N7979, N34_155_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_155_6))))
% 293.41/42.83 -> [13599] (unequally_directed_lines(skolem_M7878, N34_155_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_155_6)))
% 293.41/42.83 -> [13600] (unequally_directed_lines(skolem_N7979, N34_155_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_155_6)))
% 293.41/42.83
% 293.41/42.83 [13600] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_155_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_155_6)))
% 293.41/42.83 -> [13606] unequally_directed_lines(skolem_N7979, N34_155_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_155_6))
% 293.41/42.83
% 293.41/42.83 [13606] 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)))))
% 293.41/42.83 -> [14006] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))))
% 293.41/42.83
% 293.41/42.83 [14006] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))))
% 293.41/42.83 -> [14011] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.41/42.83 -> [14012] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.41/42.83
% 293.41/42.83 [14011] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.41/42.83 -> [14098] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.83 -> [14099] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.41/42.83
% 293.41/42.83 [14098] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.83 -> [14642] ((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))))
% 293.41/42.83
% 293.41/42.83 [14642] 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))))
% 293.41/42.83 -> [14646] ~(unequally_directed_lines(skolem_N7979, M38_411_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_411_8)))
% 293.41/42.83 -> [14647] (left_convergent_lines(skolem_N7979, M38_411_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_411_8)))
% 293.41/42.83
% 293.41/42.83 [14647] BETA_OR : (left_convergent_lines(skolem_N7979, M38_411_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_411_8)))
% 293.41/42.83 -> [14656] left_convergent_lines(skolem_N7979, M38_411_8)
% 293.41/42.83 -> [14657] left_convergent_lines(skolem_N7979, reverse_line(M38_411_8))
% 293.41/42.83
% 293.41/42.83 [14657] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.83 -> [14786] ~(left_apart_point(A39_789_9, L40_789_9) | left_apart_point(A39_789_9, reverse_line(L40_789_9)))
% 293.41/42.83
% 293.41/42.83 [14786] ALPHA_NOT_OR : ~(left_apart_point(A39_789_9, L40_789_9) | left_apart_point(A39_789_9, reverse_line(L40_789_9)))
% 293.41/42.83 -> [14789] ~left_apart_point(A39_789_9, L40_789_9), ~left_apart_point(A39_789_9, reverse_line(L40_789_9))
% 293.41/42.83
% 293.41/42.83 [14789] CLOSURE : ~left_apart_point(A39_789_9, L40_789_9)
% 293.41/42.83
% 293.41/42.83 [14656] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.83 -> [14818] ~(left_apart_point(A39_796_9, L40_796_9) | left_apart_point(A39_796_9, reverse_line(L40_796_9)))
% 293.41/42.83
% 293.41/42.83 [14818] ALPHA_NOT_OR : ~(left_apart_point(A39_796_9, L40_796_9) | left_apart_point(A39_796_9, reverse_line(L40_796_9)))
% 293.41/42.83 -> [14821] ~left_apart_point(A39_796_9, L40_796_9), ~left_apart_point(A39_796_9, reverse_line(L40_796_9))
% 293.41/42.83
% 293.41/42.83 [14821] CLOSURE : ~left_apart_point(A39_796_9, L40_796_9)
% 293.41/42.83
% 293.41/42.83 [14646] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_411_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_411_8)))
% 293.41/42.83 -> [14695] ~unequally_directed_lines(skolem_N7979, M38_411_8)
% 293.41/42.83 -> [14696] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_411_8))
% 293.41/42.83
% 293.41/42.83 [14696] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_411_8))
% 293.41/42.83
% 293.41/42.83 [14695] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_411_8)
% 293.41/42.83
% 293.41/42.83 [14099] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.41/42.83 -> [14322] ((unequally_directed_lines(skolem_N7979, M38_385_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_385_8))) => (left_convergent_lines(skolem_N7979, M38_385_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_385_8))))
% 293.41/42.83
% 293.41/42.83 [14322] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_385_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_385_8))) => (left_convergent_lines(skolem_N7979, M38_385_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_385_8))))
% 293.41/42.83 -> [14323] ~(unequally_directed_lines(skolem_N7979, M38_385_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_385_8)))
% 293.41/42.83 -> [14324] (left_convergent_lines(skolem_N7979, M38_385_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_385_8)))
% 293.41/42.83
% 293.41/42.83 [14324] BETA_OR : (left_convergent_lines(skolem_N7979, M38_385_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_385_8)))
% 293.41/42.83 -> [14327] left_convergent_lines(skolem_N7979, M38_385_8)
% 293.41/42.83 -> [14328] left_convergent_lines(skolem_N7979, reverse_line(M38_385_8))
% 293.41/42.83
% 293.41/42.83 [14328] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.83 -> [14753] ~(left_apart_point(A39_784_9, L40_784_9) | left_apart_point(A39_784_9, reverse_line(L40_784_9)))
% 293.41/42.83
% 293.41/42.83 [14753] ALPHA_NOT_OR : ~(left_apart_point(A39_784_9, L40_784_9) | left_apart_point(A39_784_9, reverse_line(L40_784_9)))
% 293.41/42.83 -> [14756] ~left_apart_point(A39_784_9, L40_784_9), ~left_apart_point(A39_784_9, reverse_line(L40_784_9))
% 293.41/42.83
% 293.41/42.83 [14756] CLOSURE : ~left_apart_point(A39_784_9, L40_784_9)
% 293.41/42.83
% 293.41/42.83 [14327] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.41/42.83 -> [14794] ~(left_apart_point(A39_790_9, L40_790_9) | left_apart_point(A39_790_9, reverse_line(L40_790_9)))
% 293.41/42.83
% 293.41/42.83 [14794] ALPHA_NOT_OR : ~(left_apart_point(A39_790_9, L40_790_9) | left_apart_point(A39_790_9, reverse_line(L40_790_9)))
% 293.41/42.83 -> [14797] ~left_apart_point(A39_790_9, L40_790_9), ~left_apart_point(A39_790_9, reverse_line(L40_790_9))
% 293.41/42.83
% 293.41/42.83 [14797] CLOSURE : ~left_apart_point(A39_790_9, L40_790_9)
% 293.41/42.83
% 293.41/42.83 [14323] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_385_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_385_8)))
% 293.41/42.83 -> [14666] ~unequally_directed_lines(skolem_N7979, M38_385_8)
% 293.41/42.83 -> [14667] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_385_8))
% 293.41/42.83
% 293.41/42.83 [14667] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_385_8))
% 293.41/42.83
% 293.41/42.83 [14666] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_385_8)
% 293.42/42.83
% 293.42/42.83 [14012] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.42/42.83 -> [14021] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.83 -> [14022] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.42/42.83
% 293.42/42.83 [14021] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.83
% 293.42/42.83 [14022] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.83 -> [14331] ((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))))
% 293.42/42.83
% 293.42/42.83 [14331] 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))))
% 293.42/42.83 -> [14332] ~(unequally_directed_lines(skolem_N7979, M38_386_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_386_8)))
% 293.42/42.83 -> [14333] (left_convergent_lines(skolem_N7979, M38_386_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_386_8)))
% 293.42/42.83
% 293.42/42.83 [14332] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_386_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_386_8)))
% 293.42/42.83 -> [14636] ~unequally_directed_lines(skolem_N7979, M38_386_8)
% 293.42/42.83 -> [14637] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_386_8))
% 293.42/42.83
% 293.42/42.83 [14637] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_386_8))
% 293.42/42.83
% 293.42/42.83 [14636] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_386_8)
% 293.42/42.83
% 293.42/42.83 [14333] BETA_OR : (left_convergent_lines(skolem_N7979, M38_386_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_386_8)))
% 293.42/42.83 -> [14335] left_convergent_lines(skolem_N7979, M38_386_8)
% 293.42/42.83 -> [14336] left_convergent_lines(skolem_N7979, reverse_line(M38_386_8))
% 293.42/42.83
% 293.42/42.83 [14336] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [14686] ~(left_apart_point(A39_771_9, L40_771_9) | left_apart_point(A39_771_9, reverse_line(L40_771_9)))
% 293.42/42.83
% 293.42/42.83 [14686] ALPHA_NOT_OR : ~(left_apart_point(A39_771_9, L40_771_9) | left_apart_point(A39_771_9, reverse_line(L40_771_9)))
% 293.42/42.83 -> [14688] ~left_apart_point(A39_771_9, L40_771_9), ~left_apart_point(A39_771_9, reverse_line(L40_771_9))
% 293.42/42.83
% 293.42/42.83 [14688] CLOSURE : ~left_apart_point(A39_771_9, L40_771_9)
% 293.42/42.83
% 293.42/42.83 [14335] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [14865] ~(left_apart_point(A39_805_9, L40_805_9) | left_apart_point(A39_805_9, reverse_line(L40_805_9)))
% 293.42/42.83
% 293.42/42.83 [14865] ALPHA_NOT_OR : ~(left_apart_point(A39_805_9, L40_805_9) | left_apart_point(A39_805_9, reverse_line(L40_805_9)))
% 293.42/42.83 -> [14866] ~left_apart_point(A39_805_9, L40_805_9), ~left_apart_point(A39_805_9, reverse_line(L40_805_9))
% 293.42/42.83
% 293.42/42.83 [14866] CLOSURE : ~left_apart_point(A39_805_9, L40_805_9)
% 293.42/42.83
% 293.42/42.83 [13599] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_155_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_155_6)))
% 293.42/42.83 -> [13651] unequally_directed_lines(skolem_M7878, N34_155_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_155_6))
% 293.42/42.83
% 293.42/42.83 [13651] 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)))))
% 293.42/42.83 -> [14090] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))))
% 293.42/42.83
% 293.42/42.83 [14090] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))))
% 293.42/42.83 -> [14092] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.42/42.83 -> [14093] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.42/42.83
% 293.42/42.83 [14092] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.42/42.83 -> [14192] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.83 -> [14193] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.83
% 293.42/42.83 [14193] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.83 -> [14626] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.83
% 293.42/42.83 [14626] 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))))
% 293.42/42.83 -> [14627] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [14628] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83
% 293.42/42.83 [14628] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [14629] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.83 -> [14630] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [14630] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [14693] ~(left_apart_point(A39_772_9, L40_772_9) | left_apart_point(A39_772_9, reverse_line(L40_772_9)))
% 293.42/42.83
% 293.42/42.83 [14693] ALPHA_NOT_OR : ~(left_apart_point(A39_772_9, L40_772_9) | left_apart_point(A39_772_9, reverse_line(L40_772_9)))
% 293.42/42.83 -> [14694] ~left_apart_point(A39_772_9, L40_772_9), ~left_apart_point(A39_772_9, reverse_line(L40_772_9))
% 293.42/42.83
% 293.42/42.83 [14694] CLOSURE : ~left_apart_point(A39_772_9, L40_772_9)
% 293.42/42.83
% 293.42/42.83 [14629] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [14705] ~(left_apart_point(A39_774_9, L40_774_9) | left_apart_point(A39_774_9, reverse_line(L40_774_9)))
% 293.42/42.83
% 293.42/42.83 [14705] ALPHA_NOT_OR : ~(left_apart_point(A39_774_9, L40_774_9) | left_apart_point(A39_774_9, reverse_line(L40_774_9)))
% 293.42/42.83 -> [14707] ~left_apart_point(A39_774_9, L40_774_9), ~left_apart_point(A39_774_9, reverse_line(L40_774_9))
% 293.42/42.83
% 293.42/42.83 [14707] CLOSURE : ~left_apart_point(A39_774_9, L40_774_9)
% 293.42/42.83
% 293.42/42.83 [14627] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [14652] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.83 -> [14653] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [14653] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [14652] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.83
% 293.42/42.83 [14192] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.83 -> [14639] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.83
% 293.42/42.83 [14639] 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))))
% 293.42/42.83 -> [14640] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [14641] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83
% 293.42/42.83 [14641] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [14644] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.83 -> [14645] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [14644] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [14715] ~(left_apart_point(A39_778_9, L40_778_9) | left_apart_point(A39_778_9, reverse_line(L40_778_9)))
% 293.42/42.83
% 293.42/42.83 [14715] ALPHA_NOT_OR : ~(left_apart_point(A39_778_9, L40_778_9) | left_apart_point(A39_778_9, reverse_line(L40_778_9)))
% 293.42/42.83 -> [14719] ~left_apart_point(A39_778_9, L40_778_9), ~left_apart_point(A39_778_9, reverse_line(L40_778_9))
% 293.42/42.83
% 293.42/42.83 [14719] CLOSURE : ~left_apart_point(A39_778_9, L40_778_9)
% 293.42/42.83
% 293.42/42.83 [14645] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [14725] ~(left_apart_point(A39_780_9, L40_780_9) | left_apart_point(A39_780_9, reverse_line(L40_780_9)))
% 293.42/42.83
% 293.42/42.83 [14725] ALPHA_NOT_OR : ~(left_apart_point(A39_780_9, L40_780_9) | left_apart_point(A39_780_9, reverse_line(L40_780_9)))
% 293.42/42.83 -> [14728] ~left_apart_point(A39_780_9, L40_780_9), ~left_apart_point(A39_780_9, reverse_line(L40_780_9))
% 293.42/42.83
% 293.42/42.83 [14728] CLOSURE : ~left_apart_point(A39_780_9, L40_780_9)
% 293.42/42.83
% 293.42/42.83 [14640] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [14664] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.83 -> [14665] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [14665] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [14664] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.83
% 293.42/42.83 [14093] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.42/42.83 -> [14096] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.83 -> [14097] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.42/42.83
% 293.42/42.83 [14096] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.83
% 293.42/42.83 [14097] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.83 -> [14623] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.83
% 293.42/42.83 [14623] 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))))
% 293.42/42.83 -> [14624] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [14625] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83
% 293.42/42.83 [14624] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [14678] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.83 -> [14679] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [14679] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [14678] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.83
% 293.42/42.83 [14625] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [14632] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.83 -> [14633] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [14632] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [14809] ~(left_apart_point(A39_793_9, L40_793_9) | left_apart_point(A39_793_9, reverse_line(L40_793_9)))
% 293.42/42.83
% 293.42/42.83 [14809] ALPHA_NOT_OR : ~(left_apart_point(A39_793_9, L40_793_9) | left_apart_point(A39_793_9, reverse_line(L40_793_9)))
% 293.42/42.83 -> [14811] ~left_apart_point(A39_793_9, L40_793_9), ~left_apart_point(A39_793_9, reverse_line(L40_793_9))
% 293.42/42.83
% 293.42/42.83 [14811] CLOSURE : ~left_apart_point(A39_793_9, L40_793_9)
% 293.42/42.83
% 293.42/42.83 [14633] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [14943] ~(left_apart_point(A39_816_9, L40_816_9) | left_apart_point(A39_816_9, reverse_line(L40_816_9)))
% 293.42/42.83
% 293.42/42.83 [14943] ALPHA_NOT_OR : ~(left_apart_point(A39_816_9, L40_816_9) | left_apart_point(A39_816_9, reverse_line(L40_816_9)))
% 293.42/42.83 -> [14946] ~left_apart_point(A39_816_9, L40_816_9), ~left_apart_point(A39_816_9, reverse_line(L40_816_9))
% 293.42/42.83
% 293.42/42.83 [14946] CLOSURE : ~left_apart_point(A39_816_9, L40_816_9)
% 293.42/42.83
% 293.42/42.83 [1277] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.83 -> [1418] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.83
% 293.42/42.83 [1418] 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))))
% 293.42/42.83 -> [1815] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.83
% 293.42/42.83 [1815] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.83 -> [1817] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.83 -> [1818] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.83
% 293.42/42.83 [1817] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.83
% 293.42/42.83 [1818] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.83 -> [3943] distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.83 -> [3944] distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.83
% 293.42/42.83 [3944] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.83
% 293.42/42.83 [3943] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.83 -> [4346] ~distinct_lines(N27_107_3, N27_107_3)
% 293.42/42.83
% 293.42/42.83 [4346] 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))))
% 293.42/42.83 -> [4404] (distinct_lines(N27_107_3, N27_107_3) => (distinct_lines(N27_107_3, N27_107_3) | distinct_lines(N27_107_3, N27_107_3)))
% 293.42/42.83
% 293.42/42.83 [4404] 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)))
% 293.42/42.83 -> [4405] ~distinct_lines(N27_107_3, N27_107_3)
% 293.42/42.83 -> [4406] (distinct_lines(N27_107_3, N27_107_3) | distinct_lines(N27_107_3, N27_107_3))
% 293.42/42.83
% 293.42/42.83 [4406] BETA_OR : (distinct_lines(N27_107_3, N27_107_3) | distinct_lines(N27_107_3, N27_107_3))
% 293.42/42.83 -> [4407] distinct_lines(N27_107_3, N27_107_3)
% 293.42/42.83 -> [4408] distinct_lines(N27_107_3, N27_107_3)
% 293.42/42.83
% 293.42/42.83 [4408] CLOSURE : distinct_lines(N27_107_3, N27_107_3)
% 293.42/42.83
% 293.42/42.83 [4407] CLOSURE : distinct_lines(N27_107_3, N27_107_3)
% 293.42/42.83
% 293.42/42.83 [4405] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.83 -> [4789] ~unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.83
% 293.42/42.83 [4789] 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))))
% 293.42/42.83 -> [5235] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.42/42.83
% 293.42/42.83 [5235] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.42/42.83 -> [5236] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.83 -> [5237] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.42/42.83
% 293.42/42.83 [5236] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.83
% 293.42/42.83 [5237] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.42/42.83 -> [6427] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.83 -> [6428] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.83
% 293.42/42.83 [6428] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.83
% 293.42/42.83 [6427] 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))))))
% 293.42/42.83 -> [6744] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_49_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_49_6))) | (unequally_directed_lines(skolem_N7979, N34_49_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_49_6)))))
% 293.42/42.83
% 293.42/42.83 [6744] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_49_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_49_6))) | (unequally_directed_lines(skolem_N7979, N34_49_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_49_6)))))
% 293.42/42.83 -> [6747] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.83 -> [6748] ((unequally_directed_lines(skolem_M7878, N34_49_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_49_6))) | (unequally_directed_lines(skolem_N7979, N34_49_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_49_6))))
% 293.42/42.83
% 293.42/42.83 [6747] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.83 -> [6765] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.83 -> [6766] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.83
% 293.42/42.83 [6766] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.83
% 293.42/42.83 [6765] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.83
% 293.42/42.83 [6748] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_49_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_49_6))) | (unequally_directed_lines(skolem_N7979, N34_49_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_49_6))))
% 293.42/42.83 -> [12886] (unequally_directed_lines(skolem_M7878, N34_49_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_49_6)))
% 293.42/42.83 -> [12887] (unequally_directed_lines(skolem_N7979, N34_49_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_49_6)))
% 293.42/42.83
% 293.42/42.83 [12886] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_49_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_49_6)))
% 293.42/42.83 -> [12998] unequally_directed_lines(skolem_M7878, N34_49_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_49_6))
% 293.42/42.83
% 293.42/42.83 [12998] 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)))))
% 293.42/42.83 -> [13055] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))))
% 293.42/42.83
% 293.42/42.83 [13055] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))))
% 293.42/42.83 -> [13056] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.42/42.83 -> [13057] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.42/42.83
% 293.42/42.83 [13056] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.42/42.83 -> [13071] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.83 -> [13072] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.83
% 293.42/42.83 [13072] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.83 -> [13102] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.83
% 293.42/42.83 [13102] 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))))
% 293.42/42.83 -> [13103] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [13104] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83
% 293.42/42.83 [13104] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [13106] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.83 -> [13107] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [13107] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [13194] ~(left_apart_point(A39_601_9, L40_601_9) | left_apart_point(A39_601_9, reverse_line(L40_601_9)))
% 293.42/42.83
% 293.42/42.83 [13194] ALPHA_NOT_OR : ~(left_apart_point(A39_601_9, L40_601_9) | left_apart_point(A39_601_9, reverse_line(L40_601_9)))
% 293.42/42.83 -> [13195] ~left_apart_point(A39_601_9, L40_601_9), ~left_apart_point(A39_601_9, reverse_line(L40_601_9))
% 293.42/42.83
% 293.42/42.83 [13195] CLOSURE : ~left_apart_point(A39_601_9, L40_601_9)
% 293.42/42.83
% 293.42/42.83 [13106] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [13221] ~(left_apart_point(A39_606_9, L40_606_9) | left_apart_point(A39_606_9, reverse_line(L40_606_9)))
% 293.42/42.83
% 293.42/42.83 [13221] ALPHA_NOT_OR : ~(left_apart_point(A39_606_9, L40_606_9) | left_apart_point(A39_606_9, reverse_line(L40_606_9)))
% 293.42/42.83 -> [13223] ~left_apart_point(A39_606_9, L40_606_9), ~left_apart_point(A39_606_9, reverse_line(L40_606_9))
% 293.42/42.83
% 293.42/42.83 [13223] CLOSURE : ~left_apart_point(A39_606_9, L40_606_9)
% 293.42/42.83
% 293.42/42.83 [13103] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [13137] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.83 -> [13138] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [13138] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [13137] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.83
% 293.42/42.83 [13071] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.83 -> [13118] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.83
% 293.42/42.83 [13118] 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))))
% 293.42/42.83 -> [13121] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [13122] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83
% 293.42/42.83 [13122] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [13130] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.83 -> [13131] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [13131] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [13212] ~(left_apart_point(A39_604_9, L40_604_9) | left_apart_point(A39_604_9, reverse_line(L40_604_9)))
% 293.42/42.83
% 293.42/42.83 [13212] ALPHA_NOT_OR : ~(left_apart_point(A39_604_9, L40_604_9) | left_apart_point(A39_604_9, reverse_line(L40_604_9)))
% 293.42/42.83 -> [13215] ~left_apart_point(A39_604_9, L40_604_9), ~left_apart_point(A39_604_9, reverse_line(L40_604_9))
% 293.42/42.83
% 293.42/42.83 [13215] CLOSURE : ~left_apart_point(A39_604_9, L40_604_9)
% 293.42/42.83
% 293.42/42.83 [13130] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [13252] ~(left_apart_point(A39_609_9, L40_609_9) | left_apart_point(A39_609_9, reverse_line(L40_609_9)))
% 293.42/42.83
% 293.42/42.83 [13252] ALPHA_NOT_OR : ~(left_apart_point(A39_609_9, L40_609_9) | left_apart_point(A39_609_9, reverse_line(L40_609_9)))
% 293.42/42.83 -> [13257] ~left_apart_point(A39_609_9, L40_609_9), ~left_apart_point(A39_609_9, reverse_line(L40_609_9))
% 293.42/42.83
% 293.42/42.83 [13257] CLOSURE : ~left_apart_point(A39_609_9, L40_609_9)
% 293.42/42.83
% 293.42/42.83 [13121] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [13152] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.83 -> [13153] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [13153] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [13152] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.83
% 293.42/42.83 [13057] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.42/42.83 -> [13060] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.83 -> [13061] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.42/42.83
% 293.42/42.83 [13060] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.83
% 293.42/42.83 [13061] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.83 -> [13108] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.83
% 293.42/42.83 [13108] 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))))
% 293.42/42.83 -> [13109] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [13110] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83
% 293.42/42.83 [13110] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [13112] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.83 -> [13113] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [13113] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [13205] ~(left_apart_point(A39_603_9, L40_603_9) | left_apart_point(A39_603_9, reverse_line(L40_603_9)))
% 293.42/42.83
% 293.42/42.83 [13205] ALPHA_NOT_OR : ~(left_apart_point(A39_603_9, L40_603_9) | left_apart_point(A39_603_9, reverse_line(L40_603_9)))
% 293.42/42.83 -> [13207] ~left_apart_point(A39_603_9, L40_603_9), ~left_apart_point(A39_603_9, reverse_line(L40_603_9))
% 293.42/42.83
% 293.42/42.83 [13207] CLOSURE : ~left_apart_point(A39_603_9, L40_603_9)
% 293.42/42.83
% 293.42/42.83 [13112] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [13232] ~(left_apart_point(A39_607_9, L40_607_9) | left_apart_point(A39_607_9, reverse_line(L40_607_9)))
% 293.42/42.83
% 293.42/42.83 [13232] ALPHA_NOT_OR : ~(left_apart_point(A39_607_9, L40_607_9) | left_apart_point(A39_607_9, reverse_line(L40_607_9)))
% 293.42/42.83 -> [13236] ~left_apart_point(A39_607_9, L40_607_9), ~left_apart_point(A39_607_9, reverse_line(L40_607_9))
% 293.42/42.83
% 293.42/42.83 [13236] CLOSURE : ~left_apart_point(A39_607_9, L40_607_9)
% 293.42/42.83
% 293.42/42.83 [13109] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [13148] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.83 -> [13149] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [13149] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [13148] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.83
% 293.42/42.83 [12887] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_49_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_49_6)))
% 293.42/42.83 -> [12891] unequally_directed_lines(skolem_N7979, N34_49_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_49_6))
% 293.42/42.83
% 293.42/42.83 [12891] 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)))))
% 293.42/42.83 -> [14604] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))))
% 293.42/42.83
% 293.42/42.83 [14604] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))))
% 293.42/42.83 -> [14607] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.42/42.83 -> [14608] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.42/42.83
% 293.42/42.83 [14608] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.42/42.83 -> [14611] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.83 -> [14612] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.42/42.83
% 293.42/42.83 [14611] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.83
% 293.42/42.83 [14612] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.83 -> [14766] ((unequally_directed_lines(skolem_N7979, M38_416_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_416_8))) => (left_convergent_lines(skolem_N7979, M38_416_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_416_8))))
% 293.42/42.83
% 293.42/42.83 [14766] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_416_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_416_8))) => (left_convergent_lines(skolem_N7979, M38_416_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_416_8))))
% 293.42/42.83 -> [14768] ~(unequally_directed_lines(skolem_N7979, M38_416_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_416_8)))
% 293.42/42.83 -> [14769] (left_convergent_lines(skolem_N7979, M38_416_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_416_8)))
% 293.42/42.83
% 293.42/42.83 [14769] BETA_OR : (left_convergent_lines(skolem_N7979, M38_416_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_416_8)))
% 293.42/42.83 -> [14775] left_convergent_lines(skolem_N7979, M38_416_8)
% 293.42/42.83 -> [14776] left_convergent_lines(skolem_N7979, reverse_line(M38_416_8))
% 293.42/42.83
% 293.42/42.83 [14776] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [15000] ~(left_apart_point(A39_828_9, L40_828_9) | left_apart_point(A39_828_9, reverse_line(L40_828_9)))
% 293.42/42.83
% 293.42/42.83 [15000] ALPHA_NOT_OR : ~(left_apart_point(A39_828_9, L40_828_9) | left_apart_point(A39_828_9, reverse_line(L40_828_9)))
% 293.42/42.83 -> [15001] ~left_apart_point(A39_828_9, L40_828_9), ~left_apart_point(A39_828_9, reverse_line(L40_828_9))
% 293.42/42.83
% 293.42/42.83 [15001] CLOSURE : ~left_apart_point(A39_828_9, L40_828_9)
% 293.42/42.83
% 293.42/42.83 [14775] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [15064] ~(left_apart_point(A39_833_9, L40_833_9) | left_apart_point(A39_833_9, reverse_line(L40_833_9)))
% 293.42/42.83
% 293.42/42.83 [15064] ALPHA_NOT_OR : ~(left_apart_point(A39_833_9, L40_833_9) | left_apart_point(A39_833_9, reverse_line(L40_833_9)))
% 293.42/42.83 -> [15066] ~left_apart_point(A39_833_9, L40_833_9), ~left_apart_point(A39_833_9, reverse_line(L40_833_9))
% 293.42/42.83
% 293.42/42.83 [15066] CLOSURE : ~left_apart_point(A39_833_9, L40_833_9)
% 293.42/42.83
% 293.42/42.83 [14768] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_416_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_416_8)))
% 293.42/42.83 -> [14830] ~unequally_directed_lines(skolem_N7979, M38_416_8)
% 293.42/42.83 -> [14831] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_416_8))
% 293.42/42.83
% 293.42/42.83 [14831] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_416_8))
% 293.42/42.83
% 293.42/42.83 [14830] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_416_8)
% 293.42/42.83
% 293.42/42.83 [14607] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.42/42.83 -> [14618] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.83 -> [14619] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.83
% 293.42/42.83 [14618] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.83 -> [14803] ((unequally_directed_lines(skolem_N7979, M38_420_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_420_8))) => (left_convergent_lines(skolem_N7979, M38_420_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_420_8))))
% 293.42/42.83
% 293.42/42.83 [14803] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_420_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_420_8))) => (left_convergent_lines(skolem_N7979, M38_420_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_420_8))))
% 293.42/42.83 -> [14805] ~(unequally_directed_lines(skolem_N7979, M38_420_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_420_8)))
% 293.42/42.83 -> [14806] (left_convergent_lines(skolem_N7979, M38_420_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_420_8)))
% 293.42/42.83
% 293.42/42.83 [14806] BETA_OR : (left_convergent_lines(skolem_N7979, M38_420_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_420_8)))
% 293.42/42.83 -> [14813] left_convergent_lines(skolem_N7979, M38_420_8)
% 293.42/42.83 -> [14814] left_convergent_lines(skolem_N7979, reverse_line(M38_420_8))
% 293.42/42.83
% 293.42/42.83 [14814] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [15046] ~(left_apart_point(A39_830_9, L40_830_9) | left_apart_point(A39_830_9, reverse_line(L40_830_9)))
% 293.42/42.83
% 293.42/42.83 [15046] ALPHA_NOT_OR : ~(left_apart_point(A39_830_9, L40_830_9) | left_apart_point(A39_830_9, reverse_line(L40_830_9)))
% 293.42/42.83 -> [15047] ~left_apart_point(A39_830_9, L40_830_9), ~left_apart_point(A39_830_9, reverse_line(L40_830_9))
% 293.42/42.83
% 293.42/42.83 [15047] CLOSURE : ~left_apart_point(A39_830_9, L40_830_9)
% 293.42/42.83
% 293.42/42.83 [14813] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [15151] ~(left_apart_point(A39_845_9, L40_845_9) | left_apart_point(A39_845_9, reverse_line(L40_845_9)))
% 293.42/42.83
% 293.42/42.83 [15151] ALPHA_NOT_OR : ~(left_apart_point(A39_845_9, L40_845_9) | left_apart_point(A39_845_9, reverse_line(L40_845_9)))
% 293.42/42.83 -> [15153] ~left_apart_point(A39_845_9, L40_845_9), ~left_apart_point(A39_845_9, reverse_line(L40_845_9))
% 293.42/42.83
% 293.42/42.83 [15153] CLOSURE : ~left_apart_point(A39_845_9, L40_845_9)
% 293.42/42.83
% 293.42/42.83 [14805] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_420_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_420_8)))
% 293.42/42.83 -> [14875] ~unequally_directed_lines(skolem_N7979, M38_420_8)
% 293.42/42.83 -> [14876] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_420_8))
% 293.42/42.83
% 293.42/42.83 [14876] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_420_8))
% 293.42/42.83
% 293.42/42.83 [14875] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_420_8)
% 293.42/42.83
% 293.42/42.83 [14619] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.83 -> [14748] ((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))))
% 293.42/42.83
% 293.42/42.83 [14748] 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))))
% 293.42/42.83 -> [14754] ~(unequally_directed_lines(skolem_N7979, M38_415_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_415_8)))
% 293.42/42.83 -> [14755] (left_convergent_lines(skolem_N7979, M38_415_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_415_8)))
% 293.42/42.83
% 293.42/42.83 [14754] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_415_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_415_8)))
% 293.42/42.83 -> [14822] ~unequally_directed_lines(skolem_N7979, M38_415_8)
% 293.42/42.83 -> [14823] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_415_8))
% 293.42/42.83
% 293.42/42.83 [14823] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_415_8))
% 293.42/42.83
% 293.42/42.83 [14822] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_415_8)
% 293.42/42.83
% 293.42/42.83 [14755] BETA_OR : (left_convergent_lines(skolem_N7979, M38_415_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_415_8)))
% 293.42/42.83 -> [14758] left_convergent_lines(skolem_N7979, M38_415_8)
% 293.42/42.83 -> [14759] left_convergent_lines(skolem_N7979, reverse_line(M38_415_8))
% 293.42/42.83
% 293.42/42.83 [14758] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [15055] ~(left_apart_point(A39_832_9, L40_832_9) | left_apart_point(A39_832_9, reverse_line(L40_832_9)))
% 293.42/42.83
% 293.42/42.83 [15055] ALPHA_NOT_OR : ~(left_apart_point(A39_832_9, L40_832_9) | left_apart_point(A39_832_9, reverse_line(L40_832_9)))
% 293.42/42.83 -> [15056] ~left_apart_point(A39_832_9, L40_832_9), ~left_apart_point(A39_832_9, reverse_line(L40_832_9))
% 293.42/42.83
% 293.42/42.83 [15056] CLOSURE : ~left_apart_point(A39_832_9, L40_832_9)
% 293.42/42.83
% 293.42/42.83 [14759] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [14998] ~(left_apart_point(A39_827_9, L40_827_9) | left_apart_point(A39_827_9, reverse_line(L40_827_9)))
% 293.42/42.83
% 293.42/42.83 [14998] ALPHA_NOT_OR : ~(left_apart_point(A39_827_9, L40_827_9) | left_apart_point(A39_827_9, reverse_line(L40_827_9)))
% 293.42/42.83 -> [14999] ~left_apart_point(A39_827_9, L40_827_9), ~left_apart_point(A39_827_9, reverse_line(L40_827_9))
% 293.42/42.83
% 293.42/42.83 [14999] CLOSURE : ~left_apart_point(A39_827_9, L40_827_9)
% 293.42/42.83
% 293.42/42.83 [1272] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.83 -> [1365] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))
% 293.42/42.83 -> [1366] ~~(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)))
% 293.42/42.83
% 293.42/42.83 [1365] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.83 -> [1709] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.83
% 293.42/42.83 [1709] 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))))
% 293.42/42.83 -> [1912] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.83
% 293.42/42.83 [1912] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.83 -> [1915] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.83 -> [1916] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.83
% 293.42/42.83 [1915] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.83
% 293.42/42.83 [1916] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.83 -> [2019] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.83 -> [2020] distinct_points(skolem_A8080, skolem_B8181)
% 293.42/42.83
% 293.42/42.83 [2019] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.83
% 293.42/42.83 [2020] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.83 -> [2058] ~distinct_lines(N27_7_3, N27_7_3)
% 293.42/42.83
% 293.42/42.83 [2058] 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))))
% 293.42/42.83 -> [2065] (distinct_lines(N27_7_3, N27_7_3) => (distinct_lines(N27_7_3, N27_7_3) | distinct_lines(N27_7_3, N27_7_3)))
% 293.42/42.83
% 293.42/42.83 [2065] 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)))
% 293.42/42.83 -> [2069] ~distinct_lines(N27_7_3, N27_7_3)
% 293.42/42.83 -> [2070] (distinct_lines(N27_7_3, N27_7_3) | distinct_lines(N27_7_3, N27_7_3))
% 293.42/42.83
% 293.42/42.83 [2070] BETA_OR : (distinct_lines(N27_7_3, N27_7_3) | distinct_lines(N27_7_3, N27_7_3))
% 293.42/42.83 -> [2073] distinct_lines(N27_7_3, N27_7_3)
% 293.42/42.83 -> [2074] distinct_lines(N27_7_3, N27_7_3)
% 293.42/42.83
% 293.42/42.83 [2073] CLOSURE : distinct_lines(N27_7_3, N27_7_3)
% 293.42/42.83
% 293.42/42.83 [2074] CLOSURE : distinct_lines(N27_7_3, N27_7_3)
% 293.42/42.83
% 293.42/42.83 [2069] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.83 -> [2088] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.83
% 293.42/42.83 [2088] 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))))
% 293.42/42.83 -> [2183] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878)))
% 293.42/42.83
% 293.42/42.83 [2183] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878)))
% 293.42/42.83 -> [2186] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.83 -> [2187] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [2186] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.83
% 293.42/42.83 [2187] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878))
% 293.42/42.83 -> [2361] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.83 -> [2362] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878)
% 293.42/42.83
% 293.42/42.83 [2361] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.83
% 293.42/42.83 [2362] 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))))))
% 293.42/42.83 -> [2387] ((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)))))
% 293.42/42.83
% 293.42/42.83 [2387] 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)))))
% 293.42/42.83 -> [2388] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.83 -> [2389] ((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))))
% 293.42/42.83
% 293.42/42.83 [2388] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.83 -> [2398] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.83 -> [2399] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.83
% 293.42/42.83 [2399] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.83
% 293.42/42.83 [2398] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.83
% 293.42/42.83 [2389] 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))))
% 293.42/42.83 -> [2452] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [2453] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.83
% 293.42/42.83 [2452] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [2457] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [2457] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.83
% 293.42/42.83 [2453] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [2456] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [2456] 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)))))
% 293.42/42.83 -> [2465] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.83
% 293.42/42.83 [2465] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.83 -> [2466] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.83 -> [2467] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.83
% 293.42/42.83 [2467] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [2468] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.83 -> [2469] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [2468] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.83
% 293.42/42.83 [2469] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.83 -> [2490] ((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))))
% 293.42/42.83
% 293.42/42.83 [2490] 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))))
% 293.42/42.83 -> [2493] ~(unequally_directed_lines(skolem_N7979, M38_1_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1_8)))
% 293.42/42.83 -> [2494] (left_convergent_lines(skolem_N7979, M38_1_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1_8)))
% 293.42/42.83
% 293.42/42.83 [2493] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1_8)))
% 293.42/42.83 -> [2504] ~unequally_directed_lines(skolem_N7979, M38_1_8)
% 293.42/42.83 -> [2505] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1_8))
% 293.42/42.83
% 293.42/42.83 [2505] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1_8))
% 293.42/42.83
% 293.42/42.83 [2504] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1_8)
% 293.42/42.83
% 293.42/42.83 [2494] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1_8)))
% 293.42/42.83 -> [2497] left_convergent_lines(skolem_N7979, M38_1_8)
% 293.42/42.83 -> [2498] left_convergent_lines(skolem_N7979, reverse_line(M38_1_8))
% 293.42/42.83
% 293.42/42.83 [2498] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [2522] ~(left_apart_point(A39_0_9, L40_0_9) | left_apart_point(A39_0_9, reverse_line(L40_0_9)))
% 293.42/42.83
% 293.42/42.83 [2522] ALPHA_NOT_OR : ~(left_apart_point(A39_0_9, L40_0_9) | left_apart_point(A39_0_9, reverse_line(L40_0_9)))
% 293.42/42.83 -> [2523] ~left_apart_point(A39_0_9, L40_0_9), ~left_apart_point(A39_0_9, reverse_line(L40_0_9))
% 293.42/42.83
% 293.42/42.83 [2523] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.83 -> [2560] ~(left_convergent_lines(L41_0_10, M42_0_10) | left_convergent_lines(L41_0_10, reverse_line(M42_0_10)))
% 293.42/42.83
% 293.42/42.83 [2560] ALPHA_NOT_OR : ~(left_convergent_lines(L41_0_10, M42_0_10) | left_convergent_lines(L41_0_10, reverse_line(M42_0_10)))
% 293.42/42.83 -> [2561] ~left_convergent_lines(L41_0_10, M42_0_10), ~left_convergent_lines(L41_0_10, reverse_line(M42_0_10))
% 293.42/42.83
% 293.42/42.83 [2561] CLOSURE : ~left_convergent_lines(L41_0_10, M42_0_10)
% 293.42/42.83
% 293.42/42.83 [2497] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [2527] ~(left_apart_point(A39_1_9, L40_1_9) | left_apart_point(A39_1_9, reverse_line(L40_1_9)))
% 293.42/42.83
% 293.42/42.83 [2527] ALPHA_NOT_OR : ~(left_apart_point(A39_1_9, L40_1_9) | left_apart_point(A39_1_9, reverse_line(L40_1_9)))
% 293.42/42.83 -> [2531] ~left_apart_point(A39_1_9, L40_1_9), ~left_apart_point(A39_1_9, reverse_line(L40_1_9))
% 293.42/42.83
% 293.42/42.83 [2531] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.83 -> [2565] ~(left_convergent_lines(L41_1_10, M42_1_10) | left_convergent_lines(L41_1_10, reverse_line(M42_1_10)))
% 293.42/42.83
% 293.42/42.83 [2565] ALPHA_NOT_OR : ~(left_convergent_lines(L41_1_10, M42_1_10) | left_convergent_lines(L41_1_10, reverse_line(M42_1_10)))
% 293.42/42.83 -> [2567] ~left_convergent_lines(L41_1_10, M42_1_10), ~left_convergent_lines(L41_1_10, reverse_line(M42_1_10))
% 293.42/42.83
% 293.42/42.83 [2567] CLOSURE : ~left_convergent_lines(L41_1_10, M42_1_10)
% 293.42/42.83
% 293.42/42.83 [2466] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.83 -> [2471] ~line(skolem_M7878)
% 293.42/42.83 -> [2472] ~line(skolem_M7878)
% 293.42/42.83
% 293.42/42.83 [2472] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.83 -> [2483] ((unequally_directed_lines(skolem_N7979, M38_0_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_0_8))) => (left_convergent_lines(skolem_N7979, M38_0_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_0_8))))
% 293.42/42.83
% 293.42/42.83 [2483] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_0_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_0_8))) => (left_convergent_lines(skolem_N7979, M38_0_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_0_8))))
% 293.42/42.83 -> [2486] ~(unequally_directed_lines(skolem_N7979, M38_0_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_0_8)))
% 293.42/42.83 -> [2487] (left_convergent_lines(skolem_N7979, M38_0_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_0_8)))
% 293.42/42.83
% 293.42/42.83 [2486] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_0_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_0_8)))
% 293.42/42.83 -> [3908] ~unequally_directed_lines(skolem_N7979, M38_0_8)
% 293.42/42.83 -> [3909] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_0_8))
% 293.42/42.83
% 293.42/42.83 [3908] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_0_8)
% 293.42/42.83
% 293.42/42.83 [3909] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_0_8))
% 293.42/42.83
% 293.42/42.83 [2487] BETA_OR : (left_convergent_lines(skolem_N7979, M38_0_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_0_8)))
% 293.42/42.83 -> [3931] left_convergent_lines(skolem_N7979, M38_0_8)
% 293.42/42.83 -> [3932] left_convergent_lines(skolem_N7979, reverse_line(M38_0_8))
% 293.42/42.83
% 293.42/42.83 [3932] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [3966] ~(left_apart_point(A39_34_9, L40_34_9) | left_apart_point(A39_34_9, reverse_line(L40_34_9)))
% 293.42/42.83
% 293.42/42.83 [3966] ALPHA_NOT_OR : ~(left_apart_point(A39_34_9, L40_34_9) | left_apart_point(A39_34_9, reverse_line(L40_34_9)))
% 293.42/42.83 -> [3967] ~left_apart_point(A39_34_9, L40_34_9), ~left_apart_point(A39_34_9, reverse_line(L40_34_9))
% 293.42/42.83
% 293.42/42.83 [3967] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.83 -> [4120] ~(left_convergent_lines(L41_16_10, M42_16_10) | left_convergent_lines(L41_16_10, reverse_line(M42_16_10)))
% 293.42/42.83
% 293.42/42.83 [4120] ALPHA_NOT_OR : ~(left_convergent_lines(L41_16_10, M42_16_10) | left_convergent_lines(L41_16_10, reverse_line(M42_16_10)))
% 293.42/42.83 -> [4121] ~left_convergent_lines(L41_16_10, M42_16_10), ~left_convergent_lines(L41_16_10, reverse_line(M42_16_10))
% 293.42/42.83
% 293.42/42.83 [4121] CLOSURE : ~left_convergent_lines(L41_16_10, M42_16_10)
% 293.42/42.83
% 293.42/42.83 [3931] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [3984] ~(left_apart_point(A39_36_9, L40_36_9) | left_apart_point(A39_36_9, reverse_line(L40_36_9)))
% 293.42/42.83
% 293.42/42.83 [3984] ALPHA_NOT_OR : ~(left_apart_point(A39_36_9, L40_36_9) | left_apart_point(A39_36_9, reverse_line(L40_36_9)))
% 293.42/42.83 -> [3985] ~left_apart_point(A39_36_9, L40_36_9), ~left_apart_point(A39_36_9, reverse_line(L40_36_9))
% 293.42/42.83
% 293.42/42.83 [3985] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.83 -> [4143] ~(left_convergent_lines(L41_17_10, M42_17_10) | left_convergent_lines(L41_17_10, reverse_line(M42_17_10)))
% 293.42/42.83
% 293.42/42.83 [4143] ALPHA_NOT_OR : ~(left_convergent_lines(L41_17_10, M42_17_10) | left_convergent_lines(L41_17_10, reverse_line(M42_17_10)))
% 293.42/42.83 -> [4144] ~left_convergent_lines(L41_17_10, M42_17_10), ~left_convergent_lines(L41_17_10, reverse_line(M42_17_10))
% 293.42/42.83
% 293.42/42.83 [4144] CLOSURE : ~left_convergent_lines(L41_17_10, M42_17_10)
% 293.42/42.83
% 293.42/42.83 [2471] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.83 -> [3904] ((unequally_directed_lines(skolem_N7979, M38_20_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_20_8))) => (left_convergent_lines(skolem_N7979, M38_20_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_20_8))))
% 293.42/42.83
% 293.42/42.83 [3904] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_20_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_20_8))) => (left_convergent_lines(skolem_N7979, M38_20_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_20_8))))
% 293.42/42.83 -> [3905] ~(unequally_directed_lines(skolem_N7979, M38_20_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_20_8)))
% 293.42/42.83 -> [3906] (left_convergent_lines(skolem_N7979, M38_20_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_20_8)))
% 293.42/42.83
% 293.42/42.83 [3905] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_20_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_20_8)))
% 293.42/42.83 -> [3929] ~unequally_directed_lines(skolem_N7979, M38_20_8)
% 293.42/42.83 -> [3930] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_20_8))
% 293.42/42.83
% 293.42/42.83 [3930] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_20_8))
% 293.42/42.83
% 293.42/42.83 [3929] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_20_8)
% 293.42/42.83
% 293.42/42.83 [3906] BETA_OR : (left_convergent_lines(skolem_N7979, M38_20_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_20_8)))
% 293.42/42.83 -> [3935] left_convergent_lines(skolem_N7979, M38_20_8)
% 293.42/42.83 -> [3936] left_convergent_lines(skolem_N7979, reverse_line(M38_20_8))
% 293.42/42.83
% 293.42/42.83 [3935] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [4054] ~(left_apart_point(A39_40_9, L40_40_9) | left_apart_point(A39_40_9, reverse_line(L40_40_9)))
% 293.42/42.83
% 293.42/42.83 [4054] ALPHA_NOT_OR : ~(left_apart_point(A39_40_9, L40_40_9) | left_apart_point(A39_40_9, reverse_line(L40_40_9)))
% 293.42/42.83 -> [4059] ~left_apart_point(A39_40_9, L40_40_9), ~left_apart_point(A39_40_9, reverse_line(L40_40_9))
% 293.42/42.83
% 293.42/42.83 [4059] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.83 -> [4823] ~(left_convergent_lines(L41_22_10, M42_22_10) | left_convergent_lines(L41_22_10, reverse_line(M42_22_10)))
% 293.42/42.83
% 293.42/42.83 [4823] ALPHA_NOT_OR : ~(left_convergent_lines(L41_22_10, M42_22_10) | left_convergent_lines(L41_22_10, reverse_line(M42_22_10)))
% 293.42/42.83 -> [4826] ~left_convergent_lines(L41_22_10, M42_22_10), ~left_convergent_lines(L41_22_10, reverse_line(M42_22_10))
% 293.42/42.83
% 293.42/42.83 [4826] CLOSURE : ~left_convergent_lines(L41_22_10, M42_22_10)
% 293.42/42.83
% 293.42/42.83 [3936] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [4005] ~(left_apart_point(A39_38_9, L40_38_9) | left_apart_point(A39_38_9, reverse_line(L40_38_9)))
% 293.42/42.83
% 293.42/42.83 [4005] ALPHA_NOT_OR : ~(left_apart_point(A39_38_9, L40_38_9) | left_apart_point(A39_38_9, reverse_line(L40_38_9)))
% 293.42/42.83 -> [4006] ~left_apart_point(A39_38_9, L40_38_9), ~left_apart_point(A39_38_9, reverse_line(L40_38_9))
% 293.42/42.83
% 293.42/42.83 [4006] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.83 -> [4932] ~(left_convergent_lines(L41_23_10, M42_23_10) | left_convergent_lines(L41_23_10, reverse_line(M42_23_10)))
% 293.42/42.83
% 293.42/42.83 [4932] ALPHA_NOT_OR : ~(left_convergent_lines(L41_23_10, M42_23_10) | left_convergent_lines(L41_23_10, reverse_line(M42_23_10)))
% 293.42/42.83 -> [4933] ~left_convergent_lines(L41_23_10, M42_23_10), ~left_convergent_lines(L41_23_10, reverse_line(M42_23_10))
% 293.42/42.83
% 293.42/42.83 [4933] CLOSURE : ~left_convergent_lines(L41_23_10, M42_23_10)
% 293.42/42.83
% 293.42/42.83 [1366] 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)))
% 293.42/42.83 -> [1368] (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)))
% 293.42/42.83
% 293.42/42.83 [1368] 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)))
% 293.42/42.83 -> [1369] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 293.42/42.83 -> [1370] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [1369] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.83 -> [1716] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.83
% 293.42/42.83 [1716] 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))))
% 293.42/42.83 -> [1953] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.83
% 293.42/42.83 [1953] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.83 -> [1954] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.83 -> [1955] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.83
% 293.42/42.83 [1954] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.83
% 293.42/42.83 [1955] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.83 -> [2283] distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.83 -> [2284] distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.83
% 293.42/42.83 [2284] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.83
% 293.42/42.83 [2283] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.83 -> [3978] ~distinct_lines(N27_90_3, N27_90_3)
% 293.42/42.83
% 293.42/42.83 [3978] 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))))
% 293.42/42.83 -> [4134] (distinct_lines(N27_90_3, N27_90_3) => (distinct_lines(N27_90_3, N27_90_3) | distinct_lines(N27_90_3, N27_90_3)))
% 293.42/42.83
% 293.42/42.83 [4134] 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)))
% 293.42/42.83 -> [4135] ~distinct_lines(N27_90_3, N27_90_3)
% 293.42/42.83 -> [4136] (distinct_lines(N27_90_3, N27_90_3) | distinct_lines(N27_90_3, N27_90_3))
% 293.42/42.83
% 293.42/42.83 [4136] BETA_OR : (distinct_lines(N27_90_3, N27_90_3) | distinct_lines(N27_90_3, N27_90_3))
% 293.42/42.83 -> [4141] distinct_lines(N27_90_3, N27_90_3)
% 293.42/42.83 -> [4142] distinct_lines(N27_90_3, N27_90_3)
% 293.42/42.83
% 293.42/42.83 [4142] CLOSURE : distinct_lines(N27_90_3, N27_90_3)
% 293.42/42.83
% 293.42/42.83 [4141] CLOSURE : distinct_lines(N27_90_3, N27_90_3)
% 293.42/42.83
% 293.42/42.83 [4135] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.83 -> [5136] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.83
% 293.42/42.83 [5136] 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))))
% 293.42/42.83 -> [5360] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878)))
% 293.42/42.83
% 293.42/42.83 [5360] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878)))
% 293.42/42.83 -> [5361] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.83 -> [5362] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [5361] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.83
% 293.42/42.83 [5362] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878))
% 293.42/42.83 -> [9551] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.83 -> [9552] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878)
% 293.42/42.83
% 293.42/42.83 [9551] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.83
% 293.42/42.83 [9552] 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))))))
% 293.42/42.83 -> [9854] ((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)))))
% 293.42/42.83
% 293.42/42.83 [9854] 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)))))
% 293.42/42.83 -> [9858] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.83 -> [9859] ((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))))
% 293.42/42.83
% 293.42/42.83 [9858] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.83 -> [9880] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.83 -> [9881] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.83
% 293.42/42.83 [9880] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.83
% 293.42/42.83 [9881] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.83
% 293.42/42.83 [9859] 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))))
% 293.42/42.83 -> [10286] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [10287] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.83
% 293.42/42.83 [10286] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [10294] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [10294] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.83
% 293.42/42.83 [10287] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [10289] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [10289] 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)))))
% 293.42/42.83 -> [10327] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.83
% 293.42/42.83 [10327] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.83 -> [10328] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.83 -> [10329] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.83
% 293.42/42.83 [10328] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.83 -> [10346] ~line(skolem_M7878)
% 293.42/42.83 -> [10347] ~line(skolem_M7878)
% 293.42/42.83
% 293.42/42.83 [10347] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.83 -> [10369] ((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))))
% 293.42/42.83
% 293.42/42.83 [10369] 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))))
% 293.42/42.83 -> [10372] ~(unequally_directed_lines(skolem_N7979, M38_181_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_181_8)))
% 293.42/42.83 -> [10373] (left_convergent_lines(skolem_N7979, M38_181_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_181_8)))
% 293.42/42.83
% 293.42/42.83 [10373] BETA_OR : (left_convergent_lines(skolem_N7979, M38_181_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_181_8)))
% 293.42/42.83 -> [10376] left_convergent_lines(skolem_N7979, M38_181_8)
% 293.42/42.83 -> [10377] left_convergent_lines(skolem_N7979, reverse_line(M38_181_8))
% 293.42/42.83
% 293.42/42.83 [10377] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [10486] ~(left_apart_point(A39_343_9, L40_343_9) | left_apart_point(A39_343_9, reverse_line(L40_343_9)))
% 293.42/42.83
% 293.42/42.83 [10486] ALPHA_NOT_OR : ~(left_apart_point(A39_343_9, L40_343_9) | left_apart_point(A39_343_9, reverse_line(L40_343_9)))
% 293.42/42.83 -> [10487] ~left_apart_point(A39_343_9, L40_343_9), ~left_apart_point(A39_343_9, reverse_line(L40_343_9))
% 293.42/42.83
% 293.42/42.83 [10487] CLOSURE : ~left_apart_point(A39_343_9, L40_343_9)
% 293.42/42.83
% 293.42/42.83 [10376] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [10536] ~(left_apart_point(A39_352_9, L40_352_9) | left_apart_point(A39_352_9, reverse_line(L40_352_9)))
% 293.42/42.83
% 293.42/42.83 [10536] ALPHA_NOT_OR : ~(left_apart_point(A39_352_9, L40_352_9) | left_apart_point(A39_352_9, reverse_line(L40_352_9)))
% 293.42/42.83 -> [10537] ~left_apart_point(A39_352_9, L40_352_9), ~left_apart_point(A39_352_9, reverse_line(L40_352_9))
% 293.42/42.83
% 293.42/42.83 [10537] CLOSURE : ~left_apart_point(A39_352_9, L40_352_9)
% 293.42/42.83
% 293.42/42.83 [10372] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_181_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_181_8)))
% 293.42/42.83 -> [10415] ~unequally_directed_lines(skolem_N7979, M38_181_8)
% 293.42/42.83 -> [10416] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_181_8))
% 293.42/42.83
% 293.42/42.83 [10416] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_181_8))
% 293.42/42.83
% 293.42/42.83 [10415] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_181_8)
% 293.42/42.83
% 293.42/42.83 [10346] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.83 -> [10403] ((unequally_directed_lines(skolem_N7979, M38_185_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_185_8))) => (left_convergent_lines(skolem_N7979, M38_185_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_185_8))))
% 293.42/42.83
% 293.42/42.83 [10403] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_185_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_185_8))) => (left_convergent_lines(skolem_N7979, M38_185_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_185_8))))
% 293.42/42.83 -> [10404] ~(unequally_directed_lines(skolem_N7979, M38_185_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_185_8)))
% 293.42/42.83 -> [10405] (left_convergent_lines(skolem_N7979, M38_185_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_185_8)))
% 293.42/42.83
% 293.42/42.83 [10405] BETA_OR : (left_convergent_lines(skolem_N7979, M38_185_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_185_8)))
% 293.42/42.83 -> [10411] left_convergent_lines(skolem_N7979, M38_185_8)
% 293.42/42.83 -> [10412] left_convergent_lines(skolem_N7979, reverse_line(M38_185_8))
% 293.42/42.83
% 293.42/42.83 [10412] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [10527] ~(left_apart_point(A39_350_9, L40_350_9) | left_apart_point(A39_350_9, reverse_line(L40_350_9)))
% 293.42/42.83
% 293.42/42.83 [10527] ALPHA_NOT_OR : ~(left_apart_point(A39_350_9, L40_350_9) | left_apart_point(A39_350_9, reverse_line(L40_350_9)))
% 293.42/42.83 -> [10528] ~left_apart_point(A39_350_9, L40_350_9), ~left_apart_point(A39_350_9, reverse_line(L40_350_9))
% 293.42/42.83
% 293.42/42.83 [10528] CLOSURE : ~left_apart_point(A39_350_9, L40_350_9)
% 293.42/42.83
% 293.42/42.83 [10411] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [10553] ~(left_apart_point(A39_354_9, L40_354_9) | left_apart_point(A39_354_9, reverse_line(L40_354_9)))
% 293.42/42.83
% 293.42/42.83 [10553] ALPHA_NOT_OR : ~(left_apart_point(A39_354_9, L40_354_9) | left_apart_point(A39_354_9, reverse_line(L40_354_9)))
% 293.42/42.83 -> [10555] ~left_apart_point(A39_354_9, L40_354_9), ~left_apart_point(A39_354_9, reverse_line(L40_354_9))
% 293.42/42.83
% 293.42/42.83 [10555] CLOSURE : ~left_apart_point(A39_354_9, L40_354_9)
% 293.42/42.83
% 293.42/42.83 [10404] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_185_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_185_8)))
% 293.42/42.83 -> [10436] ~unequally_directed_lines(skolem_N7979, M38_185_8)
% 293.42/42.83 -> [10437] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_185_8))
% 293.42/42.83
% 293.42/42.83 [10437] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_185_8))
% 293.42/42.83
% 293.42/42.83 [10436] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_185_8)
% 293.42/42.83
% 293.42/42.83 [10329] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [10333] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.83 -> [10334] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [10333] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.83
% 293.42/42.83 [10334] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.83 -> [10384] ((unequally_directed_lines(skolem_N7979, M38_184_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_184_8))) => (left_convergent_lines(skolem_N7979, M38_184_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_184_8))))
% 293.42/42.83
% 293.42/42.83 [10384] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_184_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_184_8))) => (left_convergent_lines(skolem_N7979, M38_184_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_184_8))))
% 293.42/42.83 -> [10389] ~(unequally_directed_lines(skolem_N7979, M38_184_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_184_8)))
% 293.42/42.83 -> [10390] (left_convergent_lines(skolem_N7979, M38_184_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_184_8)))
% 293.42/42.83
% 293.42/42.83 [10390] BETA_OR : (left_convergent_lines(skolem_N7979, M38_184_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_184_8)))
% 293.42/42.83 -> [10396] left_convergent_lines(skolem_N7979, M38_184_8)
% 293.42/42.83 -> [10397] left_convergent_lines(skolem_N7979, reverse_line(M38_184_8))
% 293.42/42.83
% 293.42/42.83 [10397] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [10503] ~(left_apart_point(A39_346_9, L40_346_9) | left_apart_point(A39_346_9, reverse_line(L40_346_9)))
% 293.42/42.83
% 293.42/42.83 [10503] ALPHA_NOT_OR : ~(left_apart_point(A39_346_9, L40_346_9) | left_apart_point(A39_346_9, reverse_line(L40_346_9)))
% 293.42/42.83 -> [10506] ~left_apart_point(A39_346_9, L40_346_9), ~left_apart_point(A39_346_9, reverse_line(L40_346_9))
% 293.42/42.83
% 293.42/42.83 [10506] CLOSURE : ~left_apart_point(A39_346_9, L40_346_9)
% 293.42/42.83
% 293.42/42.83 [10396] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [10542] ~(left_apart_point(A39_353_9, L40_353_9) | left_apart_point(A39_353_9, reverse_line(L40_353_9)))
% 293.42/42.83
% 293.42/42.83 [10542] ALPHA_NOT_OR : ~(left_apart_point(A39_353_9, L40_353_9) | left_apart_point(A39_353_9, reverse_line(L40_353_9)))
% 293.42/42.83 -> [10545] ~left_apart_point(A39_353_9, L40_353_9), ~left_apart_point(A39_353_9, reverse_line(L40_353_9))
% 293.42/42.83
% 293.42/42.83 [10545] CLOSURE : ~left_apart_point(A39_353_9, L40_353_9)
% 293.42/42.83
% 293.42/42.83 [10389] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_184_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_184_8)))
% 293.42/42.83 -> [10423] ~unequally_directed_lines(skolem_N7979, M38_184_8)
% 293.42/42.83 -> [10424] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_184_8))
% 293.42/42.83
% 293.42/42.83 [10424] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_184_8))
% 293.42/42.83
% 293.42/42.83 [10423] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_184_8)
% 293.42/42.83
% 293.42/42.83 [1370] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.83 -> [1783] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.83
% 293.42/42.83 [1783] 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))))
% 293.42/42.83 -> [3309] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.83
% 293.42/42.83 [3309] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.83 -> [3310] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.83 -> [3311] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.83
% 293.42/42.83 [3310] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.83
% 293.42/42.83 [3311] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.83 -> [5403] distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.83 -> [5404] distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.83
% 293.42/42.83 [5404] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.83
% 293.42/42.83 [5403] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.83 -> [6824] ~distinct_lines(N27_225_3, N27_225_3)
% 293.42/42.83
% 293.42/42.83 [6824] 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))))
% 293.42/42.83 -> [6921] (distinct_lines(N27_225_3, N27_225_3) => (distinct_lines(N27_225_3, N27_225_3) | distinct_lines(N27_225_3, N27_225_3)))
% 293.42/42.83
% 293.42/42.83 [6921] BETA_IMPLY : (distinct_lines(N27_225_3, N27_225_3) => (distinct_lines(N27_225_3, N27_225_3) | distinct_lines(N27_225_3, N27_225_3)))
% 293.42/42.83 -> [6922] ~distinct_lines(N27_225_3, N27_225_3)
% 293.42/42.83 -> [6923] (distinct_lines(N27_225_3, N27_225_3) | distinct_lines(N27_225_3, N27_225_3))
% 293.42/42.83
% 293.42/42.83 [6923] BETA_OR : (distinct_lines(N27_225_3, N27_225_3) | distinct_lines(N27_225_3, N27_225_3))
% 293.42/42.83 -> [6925] distinct_lines(N27_225_3, N27_225_3)
% 293.42/42.83 -> [6926] distinct_lines(N27_225_3, N27_225_3)
% 293.42/42.83
% 293.42/42.83 [6926] CLOSURE : distinct_lines(N27_225_3, N27_225_3)
% 293.42/42.83
% 293.42/42.83 [6925] CLOSURE : distinct_lines(N27_225_3, N27_225_3)
% 293.42/42.83
% 293.42/42.83 [6922] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.83 -> [7212] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.83
% 293.42/42.83 [7212] 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))))
% 293.42/42.83 -> [7592] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878)))
% 293.42/42.83
% 293.42/42.83 [7592] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878)))
% 293.42/42.83 -> [7593] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.83 -> [7594] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [7593] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.83
% 293.42/42.83 [7594] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878))
% 293.42/42.83 -> [10100] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.83 -> [10101] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878)
% 293.42/42.83
% 293.42/42.83 [10100] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.83
% 293.42/42.83 [10101] 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))))))
% 293.42/42.83 -> [10521] ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))))
% 293.42/42.83
% 293.42/42.83 [10521] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))))
% 293.42/42.83 -> [10525] ~(unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [10526] ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.83
% 293.42/42.83 [10526] BETA_OR : ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.83 -> [10531] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [10532] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.83
% 293.42/42.83 [10532] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [10535] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [10535] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.83
% 293.42/42.83 [10567] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.83
% 293.42/42.83 [10525] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [12751] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.83 -> [12752] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [12751] 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)))))
% 293.42/42.83 -> [14500] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.83
% 293.42/42.83 [14500] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.83 -> [14503] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.83 -> [14504] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.83
% 293.42/42.83 [14503] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.83 -> [14532] ~line(skolem_M7878)
% 293.42/42.83 -> [14533] ~line(skolem_M7878)
% 293.42/42.83
% 293.42/42.83 [14533] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.83 -> [14588] ((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))))
% 293.42/42.83
% 293.42/42.83 [14588] 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))))
% 293.42/42.83 -> [14589] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.83 -> [14590] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.83
% 293.42/42.83 [14589] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.83 -> [14613] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.83 -> [14614] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.83
% 293.42/42.83 [14614] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.83
% 293.42/42.83 [14613] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.83
% 293.42/42.83 [14590] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.83 -> [14594] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.83 -> [14595] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.83
% 293.42/42.83 [14595] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [14643] ~(left_apart_point(A39_763_9, L40_763_9) | left_apart_point(A39_763_9, reverse_line(L40_763_9)))
% 293.42/42.83
% 293.42/42.83 [14643] ALPHA_NOT_OR : ~(left_apart_point(A39_763_9, L40_763_9) | left_apart_point(A39_763_9, reverse_line(L40_763_9)))
% 293.42/42.83 -> [14648] ~left_apart_point(A39_763_9, L40_763_9), ~left_apart_point(A39_763_9, reverse_line(L40_763_9))
% 293.42/42.83
% 293.42/42.83 [14648] CLOSURE : ~left_apart_point(A39_763_9, L40_763_9)
% 293.42/42.83
% 293.42/42.83 [14594] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [14670] ~(left_apart_point(A39_769_9, L40_769_9) | left_apart_point(A39_769_9, reverse_line(L40_769_9)))
% 293.42/42.83
% 293.42/42.83 [14670] ALPHA_NOT_OR : ~(left_apart_point(A39_769_9, L40_769_9) | left_apart_point(A39_769_9, reverse_line(L40_769_9)))
% 293.42/42.83 -> [14672] ~left_apart_point(A39_769_9, L40_769_9), ~left_apart_point(A39_769_9, reverse_line(L40_769_9))
% 293.42/42.83
% 293.42/42.83 [14672] CLOSURE : ~left_apart_point(A39_769_9, L40_769_9)
% 293.42/42.83
% 293.42/42.83 [14532] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.83 -> [14574] ((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))))
% 293.42/42.83
% 293.42/42.83 [14574] 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))))
% 293.42/42.83 -> [14575] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.83 -> [14576] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.83
% 293.42/42.83 [14575] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.83 -> [14605] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.83 -> [14606] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.83
% 293.42/42.83 [14606] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.83
% 293.42/42.83 [14605] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.83
% 293.42/42.83 [14576] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.83 -> [14579] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.83 -> [14580] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.83
% 293.42/42.83 [14579] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [14651] ~(left_apart_point(A39_765_9, L40_765_9) | left_apart_point(A39_765_9, reverse_line(L40_765_9)))
% 293.42/42.83
% 293.42/42.83 [14651] ALPHA_NOT_OR : ~(left_apart_point(A39_765_9, L40_765_9) | left_apart_point(A39_765_9, reverse_line(L40_765_9)))
% 293.42/42.83 -> [14655] ~left_apart_point(A39_765_9, L40_765_9), ~left_apart_point(A39_765_9, reverse_line(L40_765_9))
% 293.42/42.83
% 293.42/42.83 [14655] CLOSURE : ~left_apart_point(A39_765_9, L40_765_9)
% 293.42/42.83
% 293.42/42.83 [14580] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [14903] ~(left_apart_point(A39_809_9, L40_809_9) | left_apart_point(A39_809_9, reverse_line(L40_809_9)))
% 293.42/42.83
% 293.42/42.83 [14903] ALPHA_NOT_OR : ~(left_apart_point(A39_809_9, L40_809_9) | left_apart_point(A39_809_9, reverse_line(L40_809_9)))
% 293.42/42.83 -> [14906] ~left_apart_point(A39_809_9, L40_809_9), ~left_apart_point(A39_809_9, reverse_line(L40_809_9))
% 293.42/42.83
% 293.42/42.83 [14906] CLOSURE : ~left_apart_point(A39_809_9, L40_809_9)
% 293.42/42.83
% 293.42/42.83 [14504] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [14511] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.83 -> [14512] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [14511] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.83
% 293.42/42.83 [14512] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.83 -> [14554] ((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))))
% 293.42/42.83
% 293.42/42.83 [14554] 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))))
% 293.42/42.83 -> [14558] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.83 -> [14559] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.83
% 293.42/42.83 [14559] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.83 -> [14566] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.83 -> [14567] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.83
% 293.42/42.83 [14567] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [14843] ~(left_apart_point(A39_802_9, L40_802_9) | left_apart_point(A39_802_9, reverse_line(L40_802_9)))
% 293.42/42.83
% 293.42/42.83 [14843] ALPHA_NOT_OR : ~(left_apart_point(A39_802_9, L40_802_9) | left_apart_point(A39_802_9, reverse_line(L40_802_9)))
% 293.42/42.83 -> [14847] ~left_apart_point(A39_802_9, L40_802_9), ~left_apart_point(A39_802_9, reverse_line(L40_802_9))
% 293.42/42.83
% 293.42/42.83 [14847] CLOSURE : ~left_apart_point(A39_802_9, L40_802_9)
% 293.42/42.83
% 293.42/42.83 [14566] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [14913] ~(left_apart_point(A39_811_9, L40_811_9) | left_apart_point(A39_811_9, reverse_line(L40_811_9)))
% 293.42/42.83
% 293.42/42.83 [14913] ALPHA_NOT_OR : ~(left_apart_point(A39_811_9, L40_811_9) | left_apart_point(A39_811_9, reverse_line(L40_811_9)))
% 293.42/42.83 -> [14915] ~left_apart_point(A39_811_9, L40_811_9), ~left_apart_point(A39_811_9, reverse_line(L40_811_9))
% 293.42/42.83
% 293.42/42.83 [14915] CLOSURE : ~left_apart_point(A39_811_9, L40_811_9)
% 293.42/42.83
% 293.42/42.83 [14558] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.83 -> [14597] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.83 -> [14598] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.83
% 293.42/42.83 [14597] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.83
% 293.42/42.83 [14598] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.83
% 293.42/42.83 [12752] 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)))))
% 293.42/42.83 -> [16250] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.83
% 293.42/42.83 [16250] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.83 -> [16252] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.83 -> [16253] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.83
% 293.42/42.83 [16253] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [16261] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.83 -> [16262] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [16262] CLOSURE : unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [16261] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.83
% 293.42/42.83 [16252] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.83 -> [16355] ~line(skolem_M7878)
% 293.42/42.83 -> [16356] ~line(skolem_M7878)
% 293.42/42.83
% 293.42/42.83 [16356] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.83 -> [16945] ((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))))
% 293.42/42.83
% 293.42/42.83 [16945] 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))))
% 293.42/42.83 -> [16948] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.83 -> [16949] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.83
% 293.42/42.83 [16948] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.83 -> [17026] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.83 -> [17027] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.83
% 293.42/42.83 [17027] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.83
% 293.42/42.83 [17026] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.83
% 293.42/42.83 [16949] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.83 -> [16956] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.83 -> [16957] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.83
% 293.42/42.83 [16957] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [17481] ~(left_apart_point(A39_1098_9, L40_1098_9) | left_apart_point(A39_1098_9, reverse_line(L40_1098_9)))
% 293.42/42.83
% 293.42/42.83 [17481] ALPHA_NOT_OR : ~(left_apart_point(A39_1098_9, L40_1098_9) | left_apart_point(A39_1098_9, reverse_line(L40_1098_9)))
% 293.42/42.83 -> [17484] ~left_apart_point(A39_1098_9, L40_1098_9), ~left_apart_point(A39_1098_9, reverse_line(L40_1098_9))
% 293.42/42.83
% 293.42/42.83 [17484] CLOSURE : ~left_apart_point(A39_1098_9, L40_1098_9)
% 293.42/42.83
% 293.42/42.83 [16956] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [17668] ~(left_apart_point(A39_1137_9, L40_1137_9) | left_apart_point(A39_1137_9, reverse_line(L40_1137_9)))
% 293.42/42.83
% 293.42/42.83 [17668] ALPHA_NOT_OR : ~(left_apart_point(A39_1137_9, L40_1137_9) | left_apart_point(A39_1137_9, reverse_line(L40_1137_9)))
% 293.42/42.83 -> [17672] ~left_apart_point(A39_1137_9, L40_1137_9), ~left_apart_point(A39_1137_9, reverse_line(L40_1137_9))
% 293.42/42.83
% 293.42/42.83 [17672] CLOSURE : ~left_apart_point(A39_1137_9, L40_1137_9)
% 293.42/42.83
% 293.42/42.83 [16355] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.83 -> [17142] ((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))))
% 293.42/42.83
% 293.42/42.83 [17142] 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))))
% 293.42/42.83 -> [17146] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.83 -> [17147] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.83
% 293.42/42.83 [17146] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.83 -> [17338] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.83 -> [17339] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.83
% 293.42/42.83 [17339] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.83
% 293.42/42.83 [17338] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.83
% 293.42/42.83 [17147] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.83 -> [17153] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.83 -> [17154] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.83
% 293.42/42.83 [17154] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [17662] ~(left_apart_point(A39_1134_9, L40_1134_9) | left_apart_point(A39_1134_9, reverse_line(L40_1134_9)))
% 293.42/42.83
% 293.42/42.83 [17662] ALPHA_NOT_OR : ~(left_apart_point(A39_1134_9, L40_1134_9) | left_apart_point(A39_1134_9, reverse_line(L40_1134_9)))
% 293.42/42.83 -> [17663] ~left_apart_point(A39_1134_9, L40_1134_9), ~left_apart_point(A39_1134_9, reverse_line(L40_1134_9))
% 293.42/42.83
% 293.42/42.83 [17663] CLOSURE : ~left_apart_point(A39_1134_9, L40_1134_9)
% 293.42/42.83
% 293.42/42.83 [17153] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [21462] ~(left_apart_point(A39_1591_9, L40_1591_9) | left_apart_point(A39_1591_9, reverse_line(L40_1591_9)))
% 293.42/42.83
% 293.42/42.83 [21462] ALPHA_NOT_OR : ~(left_apart_point(A39_1591_9, L40_1591_9) | left_apart_point(A39_1591_9, reverse_line(L40_1591_9)))
% 293.42/42.83 -> [21464] ~left_apart_point(A39_1591_9, L40_1591_9), ~left_apart_point(A39_1591_9, reverse_line(L40_1591_9))
% 293.42/42.83
% 293.42/42.83 [21464] CLOSURE : ~left_apart_point(A39_1591_9, L40_1591_9)
% 293.42/42.83
% 293.42/42.83 [179] BETA_NOT_AND : ~(((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))) & ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.83 -> [220] ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.42/42.83 -> [221] ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.83
% 293.42/42.83 [221] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.83 -> [232] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.83
% 293.42/42.83 [232] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.83 -> [534] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.42/42.83 -> [535] ~~(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)))
% 293.42/42.83
% 293.42/42.83 [535] 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)))
% 293.42/42.83 -> [541] (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)))
% 293.42/42.83
% 293.42/42.83 [541] 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)))
% 293.42/42.83 -> [542] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 293.42/42.83 -> [543] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [543] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.83 -> [2106] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.83
% 293.42/42.83 [2106] 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))))
% 293.42/42.83 -> [2173] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.83
% 293.42/42.83 [2173] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.83 -> [2174] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.83 -> [2175] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.83
% 293.42/42.83 [2174] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.83
% 293.42/42.83 [2175] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.83 -> [7111] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.83 -> [7112] distinct_points(skolem_A8080, skolem_B8181)
% 293.42/42.83
% 293.42/42.83 [7111] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.83
% 293.42/42.83 [7112] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.83 -> [8783] ~distinct_lines(L25_267_3, L25_267_3)
% 293.42/42.83
% 293.42/42.83 [8783] 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))))
% 293.42/42.83 -> [8860] (distinct_lines(L25_267_3, L25_267_3) => (distinct_lines(L25_267_3, L25_267_3) | distinct_lines(L25_267_3, L25_267_3)))
% 293.42/42.83
% 293.42/42.83 [8860] BETA_IMPLY : (distinct_lines(L25_267_3, L25_267_3) => (distinct_lines(L25_267_3, L25_267_3) | distinct_lines(L25_267_3, L25_267_3)))
% 293.42/42.83 -> [8861] ~distinct_lines(L25_267_3, L25_267_3)
% 293.42/42.83 -> [8862] (distinct_lines(L25_267_3, L25_267_3) | distinct_lines(L25_267_3, L25_267_3))
% 293.42/42.83
% 293.42/42.83 [8862] BETA_OR : (distinct_lines(L25_267_3, L25_267_3) | distinct_lines(L25_267_3, L25_267_3))
% 293.42/42.83 -> [8865] distinct_lines(L25_267_3, L25_267_3)
% 293.42/42.83 -> [8866] distinct_lines(L25_267_3, L25_267_3)
% 293.42/42.83
% 293.42/42.83 [8866] CLOSURE : distinct_lines(L25_267_3, L25_267_3)
% 293.42/42.83
% 293.42/42.83 [8865] CLOSURE : distinct_lines(L25_267_3, L25_267_3)
% 293.42/42.83
% 293.42/42.83 [8861] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.83 -> [9020] ~unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.83
% 293.42/42.83 [9020] 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))))
% 293.42/42.83 -> [9173] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.83
% 293.42/42.83 [9173] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.83 -> [9177] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.83 -> [9178] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.83
% 293.42/42.83 [9177] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.83
% 293.42/42.83 [9178] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.83 -> [17812] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.83 -> [17813] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.83
% 293.42/42.83 [17813] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.83
% 293.42/42.83 [17812] 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))))))
% 293.42/42.83 -> [17853] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_237_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_237_6))) | (unequally_directed_lines(skolem_N7979, N34_237_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_237_6)))))
% 293.42/42.83
% 293.42/42.83 [17853] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_237_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_237_6))) | (unequally_directed_lines(skolem_N7979, N34_237_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_237_6)))))
% 293.42/42.83 -> [17856] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.83 -> [17857] ((unequally_directed_lines(skolem_M7878, N34_237_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_237_6))) | (unequally_directed_lines(skolem_N7979, N34_237_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_237_6))))
% 293.42/42.83
% 293.42/42.83 [17856] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.83 -> [17868] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.83 -> [17869] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.83
% 293.42/42.83 [17869] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.83
% 293.42/42.83 [17868] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.83
% 293.42/42.83 [17857] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_237_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_237_6))) | (unequally_directed_lines(skolem_N7979, N34_237_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_237_6))))
% 293.42/42.83 -> [18001] (unequally_directed_lines(skolem_M7878, N34_237_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_237_6)))
% 293.42/42.83 -> [18002] (unequally_directed_lines(skolem_N7979, N34_237_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_237_6)))
% 293.42/42.83
% 293.42/42.83 [18002] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_237_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_237_6)))
% 293.42/42.83 -> [18010] unequally_directed_lines(skolem_N7979, N34_237_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_237_6))
% 293.42/42.83
% 293.42/42.83 [18010] 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)))))
% 293.42/42.83 -> [18023] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.83
% 293.42/42.83 [18023] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.83 -> [18024] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.83 -> [18025] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.83
% 293.42/42.83 [18024] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.83 -> [18050] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.83 -> [18051] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.83
% 293.42/42.83 [18051] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.83 -> [18100] ((unequally_directed_lines(skolem_N7979, M38_623_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_623_8))) => (left_convergent_lines(skolem_N7979, M38_623_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_623_8))))
% 293.42/42.83
% 293.42/42.83 [18100] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_623_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_623_8))) => (left_convergent_lines(skolem_N7979, M38_623_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_623_8))))
% 293.42/42.83 -> [18102] ~(unequally_directed_lines(skolem_N7979, M38_623_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_623_8)))
% 293.42/42.83 -> [18103] (left_convergent_lines(skolem_N7979, M38_623_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_623_8)))
% 293.42/42.83
% 293.42/42.83 [18103] BETA_OR : (left_convergent_lines(skolem_N7979, M38_623_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_623_8)))
% 293.42/42.83 -> [18106] left_convergent_lines(skolem_N7979, M38_623_8)
% 293.42/42.83 -> [18107] left_convergent_lines(skolem_N7979, reverse_line(M38_623_8))
% 293.42/42.83
% 293.42/42.83 [18107] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [18264] ~(left_apart_point(A39_1200_9, L40_1200_9) | left_apart_point(A39_1200_9, reverse_line(L40_1200_9)))
% 293.42/42.83
% 293.42/42.83 [18264] ALPHA_NOT_OR : ~(left_apart_point(A39_1200_9, L40_1200_9) | left_apart_point(A39_1200_9, reverse_line(L40_1200_9)))
% 293.42/42.83 -> [18267] ~left_apart_point(A39_1200_9, L40_1200_9), ~left_apart_point(A39_1200_9, reverse_line(L40_1200_9))
% 293.42/42.83
% 293.42/42.83 [18267] CLOSURE : ~left_apart_point(A39_1200_9, L40_1200_9)
% 293.42/42.83
% 293.42/42.83 [18106] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [18313] ~(left_apart_point(A39_1206_9, L40_1206_9) | left_apart_point(A39_1206_9, reverse_line(L40_1206_9)))
% 293.42/42.83
% 293.42/42.83 [18313] ALPHA_NOT_OR : ~(left_apart_point(A39_1206_9, L40_1206_9) | left_apart_point(A39_1206_9, reverse_line(L40_1206_9)))
% 293.42/42.83 -> [18315] ~left_apart_point(A39_1206_9, L40_1206_9), ~left_apart_point(A39_1206_9, reverse_line(L40_1206_9))
% 293.42/42.83
% 293.42/42.83 [18315] CLOSURE : ~left_apart_point(A39_1206_9, L40_1206_9)
% 293.42/42.83
% 293.42/42.83 [18102] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_623_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_623_8)))
% 293.42/42.83 -> [18159] ~unequally_directed_lines(skolem_N7979, M38_623_8)
% 293.42/42.83 -> [18160] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_623_8))
% 293.42/42.83
% 293.42/42.83 [18160] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_623_8))
% 293.42/42.83
% 293.42/42.83 [18159] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_623_8)
% 293.42/42.83
% 293.42/42.83 [18050] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.83 -> [18146] ((unequally_directed_lines(skolem_N7979, M38_627_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_627_8))) => (left_convergent_lines(skolem_N7979, M38_627_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_627_8))))
% 293.42/42.83
% 293.42/42.83 [18146] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_627_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_627_8))) => (left_convergent_lines(skolem_N7979, M38_627_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_627_8))))
% 293.42/42.83 -> [18147] ~(unequally_directed_lines(skolem_N7979, M38_627_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_627_8)))
% 293.42/42.83 -> [18148] (left_convergent_lines(skolem_N7979, M38_627_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_627_8)))
% 293.42/42.83
% 293.42/42.83 [18147] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_627_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_627_8)))
% 293.42/42.83 -> [18209] ~unequally_directed_lines(skolem_N7979, M38_627_8)
% 293.42/42.83 -> [18210] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_627_8))
% 293.42/42.83
% 293.42/42.83 [18210] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_627_8))
% 293.42/42.83
% 293.42/42.83 [18209] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_627_8)
% 293.42/42.83
% 293.42/42.83 [18148] BETA_OR : (left_convergent_lines(skolem_N7979, M38_627_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_627_8)))
% 293.42/42.83 -> [18150] left_convergent_lines(skolem_N7979, M38_627_8)
% 293.42/42.83 -> [18151] left_convergent_lines(skolem_N7979, reverse_line(M38_627_8))
% 293.42/42.83
% 293.42/42.83 [18151] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [18307] ~(left_apart_point(A39_1205_9, L40_1205_9) | left_apart_point(A39_1205_9, reverse_line(L40_1205_9)))
% 293.42/42.83
% 293.42/42.83 [18307] ALPHA_NOT_OR : ~(left_apart_point(A39_1205_9, L40_1205_9) | left_apart_point(A39_1205_9, reverse_line(L40_1205_9)))
% 293.42/42.83 -> [18310] ~left_apart_point(A39_1205_9, L40_1205_9), ~left_apart_point(A39_1205_9, reverse_line(L40_1205_9))
% 293.42/42.83
% 293.42/42.83 [18310] CLOSURE : ~left_apart_point(A39_1205_9, L40_1205_9)
% 293.42/42.83
% 293.42/42.83 [18150] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [18396] ~(left_apart_point(A39_1219_9, L40_1219_9) | left_apart_point(A39_1219_9, reverse_line(L40_1219_9)))
% 293.42/42.83
% 293.42/42.83 [18396] ALPHA_NOT_OR : ~(left_apart_point(A39_1219_9, L40_1219_9) | left_apart_point(A39_1219_9, reverse_line(L40_1219_9)))
% 293.42/42.83 -> [18399] ~left_apart_point(A39_1219_9, L40_1219_9), ~left_apart_point(A39_1219_9, reverse_line(L40_1219_9))
% 293.42/42.83
% 293.42/42.83 [18399] CLOSURE : ~left_apart_point(A39_1219_9, L40_1219_9)
% 293.42/42.83
% 293.42/42.83 [18025] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.83 -> [18029] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.83 -> [18030] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.83
% 293.42/42.83 [18029] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.83
% 293.42/42.83 [18030] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.83 -> [18108] ((unequally_directed_lines(skolem_N7979, M38_624_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_624_8))) => (left_convergent_lines(skolem_N7979, M38_624_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_624_8))))
% 293.42/42.83
% 293.42/42.83 [18108] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_624_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_624_8))) => (left_convergent_lines(skolem_N7979, M38_624_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_624_8))))
% 293.42/42.83 -> [18111] ~(unequally_directed_lines(skolem_N7979, M38_624_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_624_8)))
% 293.42/42.83 -> [18112] (left_convergent_lines(skolem_N7979, M38_624_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_624_8)))
% 293.42/42.83
% 293.42/42.83 [18112] BETA_OR : (left_convergent_lines(skolem_N7979, M38_624_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_624_8)))
% 293.42/42.83 -> [18116] left_convergent_lines(skolem_N7979, M38_624_8)
% 293.42/42.83 -> [18117] left_convergent_lines(skolem_N7979, reverse_line(M38_624_8))
% 293.42/42.83
% 293.42/42.83 [18117] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [18281] ~(left_apart_point(A39_1203_9, L40_1203_9) | left_apart_point(A39_1203_9, reverse_line(L40_1203_9)))
% 293.42/42.83
% 293.42/42.83 [18281] ALPHA_NOT_OR : ~(left_apart_point(A39_1203_9, L40_1203_9) | left_apart_point(A39_1203_9, reverse_line(L40_1203_9)))
% 293.42/42.83 -> [18282] ~left_apart_point(A39_1203_9, L40_1203_9), ~left_apart_point(A39_1203_9, reverse_line(L40_1203_9))
% 293.42/42.83
% 293.42/42.83 [18282] CLOSURE : ~left_apart_point(A39_1203_9, L40_1203_9)
% 293.42/42.83
% 293.42/42.83 [18116] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [18322] ~(left_apart_point(A39_1209_9, L40_1209_9) | left_apart_point(A39_1209_9, reverse_line(L40_1209_9)))
% 293.42/42.83
% 293.42/42.83 [18322] ALPHA_NOT_OR : ~(left_apart_point(A39_1209_9, L40_1209_9) | left_apart_point(A39_1209_9, reverse_line(L40_1209_9)))
% 293.42/42.83 -> [18326] ~left_apart_point(A39_1209_9, L40_1209_9), ~left_apart_point(A39_1209_9, reverse_line(L40_1209_9))
% 293.42/42.83
% 293.42/42.83 [18326] CLOSURE : ~left_apart_point(A39_1209_9, L40_1209_9)
% 293.42/42.83
% 293.42/42.83 [18111] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_624_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_624_8)))
% 293.42/42.83 -> [18168] ~unequally_directed_lines(skolem_N7979, M38_624_8)
% 293.42/42.83 -> [18169] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_624_8))
% 293.42/42.83
% 293.42/42.83 [18169] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_624_8))
% 293.42/42.83
% 293.42/42.83 [18168] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_624_8)
% 293.42/42.83
% 293.42/42.83 [18001] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_237_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_237_6)))
% 293.42/42.83 -> [18011] unequally_directed_lines(skolem_M7878, N34_237_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_237_6))
% 293.42/42.83
% 293.42/42.83 [18011] 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)))))
% 293.42/42.83 -> [18034] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.83
% 293.42/42.83 [18034] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.83 -> [18035] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.83 -> [18036] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.83
% 293.42/42.83 [18036] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.83 -> [18040] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.83 -> [18041] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.83
% 293.42/42.83 [18040] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.83
% 293.42/42.83 [18041] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.83 -> [18134] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.83
% 293.42/42.83 [18134] 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))))
% 293.42/42.83 -> [18137] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [18138] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83
% 293.42/42.83 [18138] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [18139] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.83 -> [18140] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [18139] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [18344] ~(left_apart_point(A39_1213_9, L40_1213_9) | left_apart_point(A39_1213_9, reverse_line(L40_1213_9)))
% 293.42/42.83
% 293.42/42.83 [18344] ALPHA_NOT_OR : ~(left_apart_point(A39_1213_9, L40_1213_9) | left_apart_point(A39_1213_9, reverse_line(L40_1213_9)))
% 293.42/42.83 -> [18347] ~left_apart_point(A39_1213_9, L40_1213_9), ~left_apart_point(A39_1213_9, reverse_line(L40_1213_9))
% 293.42/42.83
% 293.42/42.83 [18347] CLOSURE : ~left_apart_point(A39_1213_9, L40_1213_9)
% 293.42/42.83
% 293.42/42.83 [18140] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [18354] ~(left_apart_point(A39_1214_9, L40_1214_9) | left_apart_point(A39_1214_9, reverse_line(L40_1214_9)))
% 293.42/42.83
% 293.42/42.83 [18354] ALPHA_NOT_OR : ~(left_apart_point(A39_1214_9, L40_1214_9) | left_apart_point(A39_1214_9, reverse_line(L40_1214_9)))
% 293.42/42.83 -> [18355] ~left_apart_point(A39_1214_9, L40_1214_9), ~left_apart_point(A39_1214_9, reverse_line(L40_1214_9))
% 293.42/42.83
% 293.42/42.83 [18355] CLOSURE : ~left_apart_point(A39_1214_9, L40_1214_9)
% 293.42/42.83
% 293.42/42.83 [18137] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [18195] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.83 -> [18196] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [18196] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [18195] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.83
% 293.42/42.83 [18035] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.83 -> [18059] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.83 -> [18060] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.83
% 293.42/42.83 [18060] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.83 -> [18123] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.83
% 293.42/42.83 [18123] 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))))
% 293.42/42.83 -> [18124] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [18125] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83
% 293.42/42.83 [18125] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [18128] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.83 -> [18129] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [18128] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [18335] ~(left_apart_point(A39_1211_9, L40_1211_9) | left_apart_point(A39_1211_9, reverse_line(L40_1211_9)))
% 293.42/42.83
% 293.42/42.83 [18335] ALPHA_NOT_OR : ~(left_apart_point(A39_1211_9, L40_1211_9) | left_apart_point(A39_1211_9, reverse_line(L40_1211_9)))
% 293.42/42.83 -> [18336] ~left_apart_point(A39_1211_9, L40_1211_9), ~left_apart_point(A39_1211_9, reverse_line(L40_1211_9))
% 293.42/42.83
% 293.42/42.83 [18336] CLOSURE : ~left_apart_point(A39_1211_9, L40_1211_9)
% 293.42/42.83
% 293.42/42.83 [18129] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [18339] ~(left_apart_point(A39_1212_9, L40_1212_9) | left_apart_point(A39_1212_9, reverse_line(L40_1212_9)))
% 293.42/42.83
% 293.42/42.83 [18339] ALPHA_NOT_OR : ~(left_apart_point(A39_1212_9, L40_1212_9) | left_apart_point(A39_1212_9, reverse_line(L40_1212_9)))
% 293.42/42.83 -> [18342] ~left_apart_point(A39_1212_9, L40_1212_9), ~left_apart_point(A39_1212_9, reverse_line(L40_1212_9))
% 293.42/42.83
% 293.42/42.83 [18342] CLOSURE : ~left_apart_point(A39_1212_9, L40_1212_9)
% 293.42/42.83
% 293.42/42.83 [18124] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [18182] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.83 -> [18183] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [18183] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [18182] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.83
% 293.42/42.83 [18059] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.83 -> [18172] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.83
% 293.42/42.83 [18172] 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))))
% 293.42/42.83 -> [18174] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [18175] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83
% 293.42/42.83 [18175] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [18176] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.83 -> [18177] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [18177] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [18375] ~(left_apart_point(A39_1215_9, L40_1215_9) | left_apart_point(A39_1215_9, reverse_line(L40_1215_9)))
% 293.42/42.83
% 293.42/42.83 [18375] ALPHA_NOT_OR : ~(left_apart_point(A39_1215_9, L40_1215_9) | left_apart_point(A39_1215_9, reverse_line(L40_1215_9)))
% 293.42/42.83 -> [18376] ~left_apart_point(A39_1215_9, L40_1215_9), ~left_apart_point(A39_1215_9, reverse_line(L40_1215_9))
% 293.42/42.83
% 293.42/42.83 [18376] CLOSURE : ~left_apart_point(A39_1215_9, L40_1215_9)
% 293.42/42.83
% 293.42/42.83 [18176] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [18988] ~(left_apart_point(A39_1283_9, L40_1283_9) | left_apart_point(A39_1283_9, reverse_line(L40_1283_9)))
% 293.42/42.83
% 293.42/42.83 [18988] ALPHA_NOT_OR : ~(left_apart_point(A39_1283_9, L40_1283_9) | left_apart_point(A39_1283_9, reverse_line(L40_1283_9)))
% 293.42/42.83 -> [18991] ~left_apart_point(A39_1283_9, L40_1283_9), ~left_apart_point(A39_1283_9, reverse_line(L40_1283_9))
% 293.42/42.83
% 293.42/42.83 [18991] CLOSURE : ~left_apart_point(A39_1283_9, L40_1283_9)
% 293.42/42.83
% 293.42/42.83 [18174] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [18229] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.83 -> [18230] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [18230] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [18229] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.83
% 293.42/42.83 [542] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.83 -> [935] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.83
% 293.42/42.83 [935] 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))))
% 293.42/42.83 -> [1704] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.83
% 293.42/42.83 [1704] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.83 -> [1710] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.83 -> [1711] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.83
% 293.42/42.83 [1710] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.83
% 293.42/42.83 [1711] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.83 -> [2179] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.83 -> [2180] distinct_points(skolem_A8080, skolem_B8181)
% 293.42/42.83
% 293.42/42.83 [2179] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.83
% 293.42/42.83 [2180] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.83 -> [4154] ~distinct_lines(N27_95_3, N27_95_3)
% 293.42/42.83
% 293.42/42.83 [4154] 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))))
% 293.42/42.83 -> [4224] (distinct_lines(N27_95_3, N27_95_3) => (distinct_lines(N27_95_3, N27_95_3) | distinct_lines(N27_95_3, N27_95_3)))
% 293.42/42.83
% 293.42/42.83 [4224] 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)))
% 293.42/42.83 -> [4225] ~distinct_lines(N27_95_3, N27_95_3)
% 293.42/42.83 -> [4226] (distinct_lines(N27_95_3, N27_95_3) | distinct_lines(N27_95_3, N27_95_3))
% 293.42/42.83
% 293.42/42.83 [4226] BETA_OR : (distinct_lines(N27_95_3, N27_95_3) | distinct_lines(N27_95_3, N27_95_3))
% 293.42/42.83 -> [4227] distinct_lines(N27_95_3, N27_95_3)
% 293.42/42.83 -> [4228] distinct_lines(N27_95_3, N27_95_3)
% 293.42/42.83
% 293.42/42.83 [4227] CLOSURE : distinct_lines(N27_95_3, N27_95_3)
% 293.42/42.83
% 293.42/42.83 [4228] CLOSURE : distinct_lines(N27_95_3, N27_95_3)
% 293.42/42.83
% 293.42/42.83 [4225] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.83 -> [5598] ~unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.83
% 293.42/42.83 [5598] 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))))
% 293.42/42.83 -> [5680] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.83
% 293.42/42.83 [5680] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.83 -> [5681] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.83 -> [5682] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.83
% 293.42/42.83 [5681] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.83
% 293.42/42.83 [5682] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.83 -> [10842] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.83 -> [10843] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.83
% 293.42/42.83 [10843] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.83
% 293.42/42.83 [10842] 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))))))
% 293.42/42.83 -> [11810] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_162_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_162_6))) | (unequally_directed_lines(skolem_N7979, N34_162_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_162_6)))))
% 293.42/42.83
% 293.42/42.83 [11810] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_162_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_162_6))) | (unequally_directed_lines(skolem_N7979, N34_162_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_162_6)))))
% 293.42/42.83 -> [11815] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.83 -> [11816] ((unequally_directed_lines(skolem_M7878, N34_162_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_162_6))) | (unequally_directed_lines(skolem_N7979, N34_162_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_162_6))))
% 293.42/42.83
% 293.42/42.83 [11815] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.83 -> [11841] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.83 -> [11842] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.83
% 293.42/42.83 [11842] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.83
% 293.42/42.83 [11841] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.83
% 293.42/42.83 [11816] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_162_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_162_6))) | (unequally_directed_lines(skolem_N7979, N34_162_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_162_6))))
% 293.42/42.83 -> [22872] (unequally_directed_lines(skolem_M7878, N34_162_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_162_6)))
% 293.42/42.83 -> [22873] (unequally_directed_lines(skolem_N7979, N34_162_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_162_6)))
% 293.42/42.83
% 293.42/42.83 [22872] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_162_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_162_6)))
% 293.42/42.83 -> [22920] unequally_directed_lines(skolem_M7878, N34_162_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_162_6))
% 293.42/42.83
% 293.42/42.83 [22920] 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)))))
% 293.42/42.83 -> [23332] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.83
% 293.42/42.83 [23332] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.83 -> [23333] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.83 -> [23334] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.83
% 293.42/42.83 [23334] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.83 -> [23337] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.83 -> [23338] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.83
% 293.42/42.83 [23337] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.83
% 293.42/42.83 [23338] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.83 -> [23693] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.83
% 293.42/42.83 [23693] 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))))
% 293.42/42.83 -> [23696] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [23697] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83
% 293.42/42.83 [23697] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [23700] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.83 -> [23701] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [23701] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [23900] ~(left_apart_point(A39_1949_9, L40_1949_9) | left_apart_point(A39_1949_9, reverse_line(L40_1949_9)))
% 293.42/42.83
% 293.42/42.83 [23900] ALPHA_NOT_OR : ~(left_apart_point(A39_1949_9, L40_1949_9) | left_apart_point(A39_1949_9, reverse_line(L40_1949_9)))
% 293.42/42.83 -> [23901] ~left_apart_point(A39_1949_9, L40_1949_9), ~left_apart_point(A39_1949_9, reverse_line(L40_1949_9))
% 293.42/42.83
% 293.42/42.83 [23901] CLOSURE : ~left_apart_point(A39_1949_9, L40_1949_9)
% 293.42/42.83
% 293.42/42.83 [23700] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [24028] ~(left_apart_point(A39_1968_9, L40_1968_9) | left_apart_point(A39_1968_9, reverse_line(L40_1968_9)))
% 293.42/42.83
% 293.42/42.83 [24028] ALPHA_NOT_OR : ~(left_apart_point(A39_1968_9, L40_1968_9) | left_apart_point(A39_1968_9, reverse_line(L40_1968_9)))
% 293.42/42.83 -> [24030] ~left_apart_point(A39_1968_9, L40_1968_9), ~left_apart_point(A39_1968_9, reverse_line(L40_1968_9))
% 293.42/42.83
% 293.42/42.83 [24030] CLOSURE : ~left_apart_point(A39_1968_9, L40_1968_9)
% 293.42/42.83
% 293.42/42.83 [23696] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [23823] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.83 -> [23824] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [23823] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.83
% 293.42/42.83 [23824] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [23333] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.83 -> [23360] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.83 -> [23361] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.83
% 293.42/42.83 [23360] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.83 -> [23775] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.83
% 293.42/42.83 [23775] 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))))
% 293.42/42.83 -> [23777] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [23778] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83
% 293.42/42.83 [23777] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [23870] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.83 -> [23871] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [23871] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [23870] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.83
% 293.42/42.83 [23778] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [23782] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.83 -> [23783] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [23783] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [23988] ~(left_apart_point(A39_1959_9, L40_1959_9) | left_apart_point(A39_1959_9, reverse_line(L40_1959_9)))
% 293.42/42.83
% 293.42/42.83 [23988] ALPHA_NOT_OR : ~(left_apart_point(A39_1959_9, L40_1959_9) | left_apart_point(A39_1959_9, reverse_line(L40_1959_9)))
% 293.42/42.83 -> [23989] ~left_apart_point(A39_1959_9, L40_1959_9), ~left_apart_point(A39_1959_9, reverse_line(L40_1959_9))
% 293.42/42.83
% 293.42/42.83 [23989] CLOSURE : ~left_apart_point(A39_1959_9, L40_1959_9)
% 293.42/42.83
% 293.42/42.83 [23782] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [24029] ~(left_apart_point(A39_1969_9, L40_1969_9) | left_apart_point(A39_1969_9, reverse_line(L40_1969_9)))
% 293.42/42.83
% 293.42/42.83 [24029] ALPHA_NOT_OR : ~(left_apart_point(A39_1969_9, L40_1969_9) | left_apart_point(A39_1969_9, reverse_line(L40_1969_9)))
% 293.42/42.83 -> [24069] ~left_apart_point(A39_1969_9, L40_1969_9), ~left_apart_point(A39_1969_9, reverse_line(L40_1969_9))
% 293.42/42.83
% 293.42/42.83 [24069] CLOSURE : ~left_apart_point(A39_1969_9, L40_1969_9)
% 293.42/42.83
% 293.42/42.83 [23361] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.83 -> [23649] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.83
% 293.42/42.83 [23649] 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))))
% 293.42/42.83 -> [23650] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [23651] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83
% 293.42/42.83 [23651] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [23656] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.83 -> [23657] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [23657] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [23950] ~(left_apart_point(A39_1952_9, L40_1952_9) | left_apart_point(A39_1952_9, reverse_line(L40_1952_9)))
% 293.42/42.83
% 293.42/42.83 [23950] ALPHA_NOT_OR : ~(left_apart_point(A39_1952_9, L40_1952_9) | left_apart_point(A39_1952_9, reverse_line(L40_1952_9)))
% 293.42/42.83 -> [23954] ~left_apart_point(A39_1952_9, L40_1952_9), ~left_apart_point(A39_1952_9, reverse_line(L40_1952_9))
% 293.42/42.83
% 293.42/42.83 [23954] CLOSURE : ~left_apart_point(A39_1952_9, L40_1952_9)
% 293.42/42.83
% 293.42/42.83 [23656] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [23994] ~(left_apart_point(A39_1961_9, L40_1961_9) | left_apart_point(A39_1961_9, reverse_line(L40_1961_9)))
% 293.42/42.83
% 293.42/42.83 [23994] ALPHA_NOT_OR : ~(left_apart_point(A39_1961_9, L40_1961_9) | left_apart_point(A39_1961_9, reverse_line(L40_1961_9)))
% 293.42/42.83 -> [23997] ~left_apart_point(A39_1961_9, L40_1961_9), ~left_apart_point(A39_1961_9, reverse_line(L40_1961_9))
% 293.42/42.83
% 293.42/42.83 [23997] CLOSURE : ~left_apart_point(A39_1961_9, L40_1961_9)
% 293.42/42.83
% 293.42/42.83 [23650] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [23791] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.83 -> [23792] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [23792] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [23791] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.83
% 293.42/42.83 [22873] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_162_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_162_6)))
% 293.42/42.83 -> [22878] unequally_directed_lines(skolem_N7979, N34_162_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_162_6))
% 293.42/42.83
% 293.42/42.83 [22878] 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)))))
% 293.42/42.83 -> [23313] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.83
% 293.42/42.83 [23313] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.83 -> [23315] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.83 -> [23316] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.83
% 293.42/42.83 [23316] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.83 -> [23323] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.83 -> [23324] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.83
% 293.42/42.83 [23323] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.83
% 293.42/42.83 [23324] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.83 -> [23586] ((unequally_directed_lines(skolem_N7979, M38_972_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_972_8))) => (left_convergent_lines(skolem_N7979, M38_972_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_972_8))))
% 293.42/42.83
% 293.42/42.83 [23586] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_972_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_972_8))) => (left_convergent_lines(skolem_N7979, M38_972_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_972_8))))
% 293.42/42.83 -> [23587] ~(unequally_directed_lines(skolem_N7979, M38_972_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_972_8)))
% 293.42/42.83 -> [23588] (left_convergent_lines(skolem_N7979, M38_972_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_972_8)))
% 293.42/42.83
% 293.42/42.83 [23588] BETA_OR : (left_convergent_lines(skolem_N7979, M38_972_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_972_8)))
% 293.42/42.83 -> [23591] left_convergent_lines(skolem_N7979, M38_972_8)
% 293.42/42.83 -> [23592] left_convergent_lines(skolem_N7979, reverse_line(M38_972_8))
% 293.42/42.83
% 293.42/42.83 [23592] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [25234] ~(left_apart_point(A39_2140_9, L40_2140_9) | left_apart_point(A39_2140_9, reverse_line(L40_2140_9)))
% 293.42/42.83
% 293.42/42.83 [25234] ALPHA_NOT_OR : ~(left_apart_point(A39_2140_9, L40_2140_9) | left_apart_point(A39_2140_9, reverse_line(L40_2140_9)))
% 293.42/42.83 -> [25235] ~left_apart_point(A39_2140_9, L40_2140_9), ~left_apart_point(A39_2140_9, reverse_line(L40_2140_9))
% 293.42/42.83
% 293.42/42.83 [25235] CLOSURE : ~left_apart_point(A39_2140_9, L40_2140_9)
% 293.42/42.83
% 293.42/42.83 [23591] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [25251] ~(left_apart_point(A39_2145_9, L40_2145_9) | left_apart_point(A39_2145_9, reverse_line(L40_2145_9)))
% 293.42/42.83
% 293.42/42.83 [25251] ALPHA_NOT_OR : ~(left_apart_point(A39_2145_9, L40_2145_9) | left_apart_point(A39_2145_9, reverse_line(L40_2145_9)))
% 293.42/42.83 -> [25252] ~left_apart_point(A39_2145_9, L40_2145_9), ~left_apart_point(A39_2145_9, reverse_line(L40_2145_9))
% 293.42/42.83
% 293.42/42.83 [25252] CLOSURE : ~left_apart_point(A39_2145_9, L40_2145_9)
% 293.42/42.83
% 293.42/42.83 [23587] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_972_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_972_8)))
% 293.42/42.83 -> [23735] ~unequally_directed_lines(skolem_N7979, M38_972_8)
% 293.42/42.83 -> [23736] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_972_8))
% 293.42/42.83
% 293.42/42.83 [23735] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_972_8)
% 293.42/42.83
% 293.42/42.83 [23736] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_972_8))
% 293.42/42.83
% 293.42/42.83 [23315] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.83 -> [23534] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.83 -> [23535] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.83
% 293.42/42.83 [23534] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.83 -> [23761] ((unequally_directed_lines(skolem_N7979, M38_990_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_990_8))) => (left_convergent_lines(skolem_N7979, M38_990_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_990_8))))
% 293.42/42.83
% 293.42/42.83 [23761] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_990_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_990_8))) => (left_convergent_lines(skolem_N7979, M38_990_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_990_8))))
% 293.42/42.83 -> [23762] ~(unequally_directed_lines(skolem_N7979, M38_990_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_990_8)))
% 293.42/42.83 -> [23763] (left_convergent_lines(skolem_N7979, M38_990_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_990_8)))
% 293.42/42.83
% 293.42/42.83 [23763] BETA_OR : (left_convergent_lines(skolem_N7979, M38_990_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_990_8)))
% 293.42/42.83 -> [23766] left_convergent_lines(skolem_N7979, M38_990_8)
% 293.42/42.83 -> [23767] left_convergent_lines(skolem_N7979, reverse_line(M38_990_8))
% 293.42/42.83
% 293.42/42.83 [23766] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [23859] ~(left_apart_point(A39_1939_9, L40_1939_9) | left_apart_point(A39_1939_9, reverse_line(L40_1939_9)))
% 293.42/42.83
% 293.42/42.83 [23859] ALPHA_NOT_OR : ~(left_apart_point(A39_1939_9, L40_1939_9) | left_apart_point(A39_1939_9, reverse_line(L40_1939_9)))
% 293.42/42.83 -> [23861] ~left_apart_point(A39_1939_9, L40_1939_9), ~left_apart_point(A39_1939_9, reverse_line(L40_1939_9))
% 293.42/42.83
% 293.42/42.83 [23861] CLOSURE : ~left_apart_point(A39_1939_9, L40_1939_9)
% 293.42/42.83
% 293.42/42.83 [23767] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [23857] ~(left_apart_point(A39_1937_9, L40_1937_9) | left_apart_point(A39_1937_9, reverse_line(L40_1937_9)))
% 293.42/42.83
% 293.42/42.83 [23857] ALPHA_NOT_OR : ~(left_apart_point(A39_1937_9, L40_1937_9) | left_apart_point(A39_1937_9, reverse_line(L40_1937_9)))
% 293.42/42.83 -> [23977] ~left_apart_point(A39_1937_9, L40_1937_9), ~left_apart_point(A39_1937_9, reverse_line(L40_1937_9))
% 293.42/42.83
% 293.42/42.83 [23977] CLOSURE : ~left_apart_point(A39_1937_9, L40_1937_9)
% 293.42/42.83
% 293.42/42.83 [23762] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_990_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_990_8)))
% 293.42/42.83 -> [23795] ~unequally_directed_lines(skolem_N7979, M38_990_8)
% 293.42/42.83 -> [23796] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_990_8))
% 293.42/42.83
% 293.42/42.83 [23796] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_990_8))
% 293.42/42.83
% 293.42/42.83 [23795] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_990_8)
% 293.42/42.83
% 293.42/42.83 [23535] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.83 -> [23715] ((unequally_directed_lines(skolem_N7979, M38_987_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_987_8))) => (left_convergent_lines(skolem_N7979, M38_987_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_987_8))))
% 293.42/42.83
% 293.42/42.83 [23715] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_987_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_987_8))) => (left_convergent_lines(skolem_N7979, M38_987_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_987_8))))
% 293.42/42.83 -> [23717] ~(unequally_directed_lines(skolem_N7979, M38_987_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_987_8)))
% 293.42/42.83 -> [23718] (left_convergent_lines(skolem_N7979, M38_987_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_987_8)))
% 293.42/42.83
% 293.42/42.83 [23717] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_987_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_987_8)))
% 293.42/42.83 -> [23752] ~unequally_directed_lines(skolem_N7979, M38_987_8)
% 293.42/42.83 -> [23753] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_987_8))
% 293.42/42.83
% 293.42/42.83 [23753] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_987_8))
% 293.42/42.83
% 293.42/42.83 [23752] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_987_8)
% 293.42/42.83
% 293.42/42.83 [23718] BETA_OR : (left_convergent_lines(skolem_N7979, M38_987_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_987_8)))
% 293.42/42.83 -> [23724] left_convergent_lines(skolem_N7979, M38_987_8)
% 293.42/42.83 -> [23725] left_convergent_lines(skolem_N7979, reverse_line(M38_987_8))
% 293.42/42.83
% 293.42/42.83 [23724] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [23854] ~(left_apart_point(A39_1936_9, L40_1936_9) | left_apart_point(A39_1936_9, reverse_line(L40_1936_9)))
% 293.42/42.83
% 293.42/42.83 [23854] ALPHA_NOT_OR : ~(left_apart_point(A39_1936_9, L40_1936_9) | left_apart_point(A39_1936_9, reverse_line(L40_1936_9)))
% 293.42/42.83 -> [23855] ~left_apart_point(A39_1936_9, L40_1936_9), ~left_apart_point(A39_1936_9, reverse_line(L40_1936_9))
% 293.42/42.83
% 293.42/42.83 [23855] CLOSURE : ~left_apart_point(A39_1936_9, L40_1936_9)
% 293.42/42.83
% 293.42/42.83 [23725] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [23837] ~(left_apart_point(A39_1930_9, L40_1930_9) | left_apart_point(A39_1930_9, reverse_line(L40_1930_9)))
% 293.42/42.83
% 293.42/42.83 [23837] ALPHA_NOT_OR : ~(left_apart_point(A39_1930_9, L40_1930_9) | left_apart_point(A39_1930_9, reverse_line(L40_1930_9)))
% 293.42/42.83 -> [23838] ~left_apart_point(A39_1930_9, L40_1930_9), ~left_apart_point(A39_1930_9, reverse_line(L40_1930_9))
% 293.42/42.83
% 293.42/42.83 [23838] CLOSURE : ~left_apart_point(A39_1930_9, L40_1930_9)
% 293.42/42.83
% 293.42/42.83 [534] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.42/42.83 -> [595] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))
% 293.42/42.83 -> [596] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.83
% 293.42/42.83 [595] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.83 -> [1202] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.83
% 293.42/42.83 [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))))
% 293.42/42.83 -> [2120] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.83
% 293.42/42.83 [2120] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.83 -> [2122] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.83 -> [2123] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.83
% 293.42/42.83 [2122] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.83
% 293.42/42.83 [2123] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.83 -> [4271] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.83 -> [4272] distinct_points(skolem_A8080, skolem_B8181)
% 293.42/42.83
% 293.42/42.83 [4271] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.83
% 293.42/42.83 [4272] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.83 -> [4363] ~distinct_lines(N27_105_3, N27_105_3)
% 293.42/42.83
% 293.42/42.83 [4363] 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))))
% 293.42/42.83 -> [4377] (distinct_lines(N27_105_3, N27_105_3) => (distinct_lines(N27_105_3, N27_105_3) | distinct_lines(N27_105_3, N27_105_3)))
% 293.42/42.83
% 293.42/42.83 [4377] 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)))
% 293.42/42.83 -> [4378] ~distinct_lines(N27_105_3, N27_105_3)
% 293.42/42.83 -> [4379] (distinct_lines(N27_105_3, N27_105_3) | distinct_lines(N27_105_3, N27_105_3))
% 293.42/42.83
% 293.42/42.83 [4379] BETA_OR : (distinct_lines(N27_105_3, N27_105_3) | distinct_lines(N27_105_3, N27_105_3))
% 293.42/42.83 -> [4383] distinct_lines(N27_105_3, N27_105_3)
% 293.42/42.83 -> [4384] distinct_lines(N27_105_3, N27_105_3)
% 293.42/42.83
% 293.42/42.83 [4384] CLOSURE : distinct_lines(N27_105_3, N27_105_3)
% 293.42/42.83
% 293.42/42.83 [4383] CLOSURE : distinct_lines(N27_105_3, N27_105_3)
% 293.42/42.83
% 293.42/42.83 [4378] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.83 -> [4416] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.83
% 293.42/42.83 [4416] 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))))
% 293.42/42.83 -> [4451] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878)))
% 293.42/42.83
% 293.42/42.83 [4451] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878)))
% 293.42/42.83 -> [4454] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.83 -> [4455] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [4454] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.83
% 293.42/42.83 [4455] 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)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878))
% 293.42/42.83 -> [5821] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.83 -> [5822] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878)
% 293.42/42.83
% 293.42/42.83 [5821] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.83
% 293.42/42.83 [5822] 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))))))
% 293.42/42.83 -> [6653] ((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)))))
% 293.42/42.83
% 293.42/42.83 [6653] 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)))))
% 293.42/42.83 -> [6656] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.83 -> [6657] ((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))))
% 293.42/42.83
% 293.42/42.83 [6656] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.83 -> [6685] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.83 -> [6686] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.83
% 293.42/42.83 [6686] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.83
% 293.42/42.83 [6685] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.83
% 293.42/42.83 [6657] 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))))
% 293.42/42.83 -> [14673] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [14674] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.83
% 293.42/42.83 [14673] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [14724] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [14724] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.83
% 293.42/42.83 [14674] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [14675] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [14675] 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)))))
% 293.42/42.83 -> [15170] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.83
% 293.42/42.83 [15170] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.83 -> [15172] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.83 -> [15173] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.83
% 293.42/42.83 [15173] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [15176] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.83 -> [15177] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [15176] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.83
% 293.42/42.83 [15177] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.83 -> [15726] ((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))))
% 293.42/42.83
% 293.42/42.83 [15726] 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))))
% 293.42/42.83 -> [15733] ~(unequally_directed_lines(skolem_N7979, M38_469_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_469_8)))
% 293.42/42.83 -> [15734] (left_convergent_lines(skolem_N7979, M38_469_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_469_8)))
% 293.42/42.83
% 293.42/42.83 [15733] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_469_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_469_8)))
% 293.42/42.83 -> [15950] ~unequally_directed_lines(skolem_N7979, M38_469_8)
% 293.42/42.83 -> [15951] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_469_8))
% 293.42/42.83
% 293.42/42.83 [15951] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_469_8))
% 293.42/42.83
% 293.42/42.83 [15950] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_469_8)
% 293.42/42.83
% 293.42/42.83 [15734] BETA_OR : (left_convergent_lines(skolem_N7979, M38_469_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_469_8)))
% 293.42/42.83 -> [15738] left_convergent_lines(skolem_N7979, M38_469_8)
% 293.42/42.83 -> [15739] left_convergent_lines(skolem_N7979, reverse_line(M38_469_8))
% 293.42/42.83
% 293.42/42.83 [15739] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [16418] ~(left_apart_point(A39_967_9, L40_967_9) | left_apart_point(A39_967_9, reverse_line(L40_967_9)))
% 293.42/42.83
% 293.42/42.83 [16418] ALPHA_NOT_OR : ~(left_apart_point(A39_967_9, L40_967_9) | left_apart_point(A39_967_9, reverse_line(L40_967_9)))
% 293.42/42.83 -> [16421] ~left_apart_point(A39_967_9, L40_967_9), ~left_apart_point(A39_967_9, reverse_line(L40_967_9))
% 293.42/42.83
% 293.42/42.83 [16421] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.83 -> [17191] ~(left_convergent_lines(L41_122_10, M42_122_10) | left_convergent_lines(L41_122_10, reverse_line(M42_122_10)))
% 293.42/42.83
% 293.42/42.83 [17191] ALPHA_NOT_OR : ~(left_convergent_lines(L41_122_10, M42_122_10) | left_convergent_lines(L41_122_10, reverse_line(M42_122_10)))
% 293.42/42.83 -> [17192] ~left_convergent_lines(L41_122_10, M42_122_10), ~left_convergent_lines(L41_122_10, reverse_line(M42_122_10))
% 293.42/42.83
% 293.42/42.83 [17192] CLOSURE : ~left_convergent_lines(L41_122_10, M42_122_10)
% 293.42/42.83
% 293.42/42.83 [15738] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [16440] ~(left_apart_point(A39_971_9, L40_971_9) | left_apart_point(A39_971_9, reverse_line(L40_971_9)))
% 293.42/42.83
% 293.42/42.83 [16440] ALPHA_NOT_OR : ~(left_apart_point(A39_971_9, L40_971_9) | left_apart_point(A39_971_9, reverse_line(L40_971_9)))
% 293.42/42.83 -> [16441] ~left_apart_point(A39_971_9, L40_971_9), ~left_apart_point(A39_971_9, reverse_line(L40_971_9))
% 293.42/42.83
% 293.42/42.83 [16441] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.83 -> [17375] ~(left_convergent_lines(L41_128_10, M42_128_10) | left_convergent_lines(L41_128_10, reverse_line(M42_128_10)))
% 293.42/42.83
% 293.42/42.83 [17375] ALPHA_NOT_OR : ~(left_convergent_lines(L41_128_10, M42_128_10) | left_convergent_lines(L41_128_10, reverse_line(M42_128_10)))
% 293.42/42.83 -> [17378] ~left_convergent_lines(L41_128_10, M42_128_10), ~left_convergent_lines(L41_128_10, reverse_line(M42_128_10))
% 293.42/42.83
% 293.42/42.83 [17378] CLOSURE : ~left_convergent_lines(L41_128_10, M42_128_10)
% 293.42/42.83
% 293.42/42.83 [15172] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.83 -> [15268] ~line(skolem_M7878)
% 293.42/42.83 -> [15269] ~line(skolem_M7878)
% 293.42/42.83
% 293.42/42.83 [15269] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.83 -> [15712] ((unequally_directed_lines(skolem_N7979, M38_467_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_467_8))) => (left_convergent_lines(skolem_N7979, M38_467_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_467_8))))
% 293.42/42.83
% 293.42/42.83 [15712] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_467_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_467_8))) => (left_convergent_lines(skolem_N7979, M38_467_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_467_8))))
% 293.42/42.83 -> [15713] ~(unequally_directed_lines(skolem_N7979, M38_467_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_467_8)))
% 293.42/42.83 -> [15714] (left_convergent_lines(skolem_N7979, M38_467_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_467_8)))
% 293.42/42.83
% 293.42/42.83 [15713] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_467_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_467_8)))
% 293.42/42.83 -> [15940] ~unequally_directed_lines(skolem_N7979, M38_467_8)
% 293.42/42.83 -> [15941] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_467_8))
% 293.42/42.83
% 293.42/42.83 [15941] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_467_8))
% 293.42/42.83
% 293.42/42.83 [15940] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_467_8)
% 293.42/42.83
% 293.42/42.83 [15714] BETA_OR : (left_convergent_lines(skolem_N7979, M38_467_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_467_8)))
% 293.42/42.83 -> [15720] left_convergent_lines(skolem_N7979, M38_467_8)
% 293.42/42.83 -> [15721] left_convergent_lines(skolem_N7979, reverse_line(M38_467_8))
% 293.42/42.83
% 293.42/42.83 [15721] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [15763] ~(left_apart_point(A39_908_9, L40_908_9) | left_apart_point(A39_908_9, reverse_line(L40_908_9)))
% 293.42/42.83
% 293.42/42.83 [15763] ALPHA_NOT_OR : ~(left_apart_point(A39_908_9, L40_908_9) | left_apart_point(A39_908_9, reverse_line(L40_908_9)))
% 293.42/42.83 -> [15767] ~left_apart_point(A39_908_9, L40_908_9), ~left_apart_point(A39_908_9, reverse_line(L40_908_9))
% 293.42/42.83
% 293.42/42.83 [15767] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.83 -> [15841] ~(left_convergent_lines(L41_112_10, M42_112_10) | left_convergent_lines(L41_112_10, reverse_line(M42_112_10)))
% 293.42/42.83
% 293.42/42.83 [15841] ALPHA_NOT_OR : ~(left_convergent_lines(L41_112_10, M42_112_10) | left_convergent_lines(L41_112_10, reverse_line(M42_112_10)))
% 293.42/42.83 -> [15844] ~left_convergent_lines(L41_112_10, M42_112_10), ~left_convergent_lines(L41_112_10, reverse_line(M42_112_10))
% 293.42/42.83
% 293.42/42.83 [15844] CLOSURE : ~left_convergent_lines(L41_112_10, M42_112_10)
% 293.42/42.83
% 293.42/42.83 [15720] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [16432] ~(left_apart_point(A39_969_9, L40_969_9) | left_apart_point(A39_969_9, reverse_line(L40_969_9)))
% 293.42/42.83
% 293.42/42.83 [16432] ALPHA_NOT_OR : ~(left_apart_point(A39_969_9, L40_969_9) | left_apart_point(A39_969_9, reverse_line(L40_969_9)))
% 293.42/42.83 -> [16433] ~left_apart_point(A39_969_9, L40_969_9), ~left_apart_point(A39_969_9, reverse_line(L40_969_9))
% 293.42/42.83
% 293.42/42.83 [16433] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.83 -> [17226] ~(left_convergent_lines(L41_124_10, M42_124_10) | left_convergent_lines(L41_124_10, reverse_line(M42_124_10)))
% 293.42/42.83
% 293.42/42.83 [17226] ALPHA_NOT_OR : ~(left_convergent_lines(L41_124_10, M42_124_10) | left_convergent_lines(L41_124_10, reverse_line(M42_124_10)))
% 293.42/42.83 -> [17227] ~left_convergent_lines(L41_124_10, M42_124_10), ~left_convergent_lines(L41_124_10, reverse_line(M42_124_10))
% 293.42/42.83
% 293.42/42.83 [17227] CLOSURE : ~left_convergent_lines(L41_124_10, M42_124_10)
% 293.42/42.83
% 293.42/42.83 [15268] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.83 -> [15928] ((unequally_directed_lines(skolem_N7979, M38_480_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_480_8))) => (left_convergent_lines(skolem_N7979, M38_480_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_480_8))))
% 293.42/42.83
% 293.42/42.83 [15928] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_480_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_480_8))) => (left_convergent_lines(skolem_N7979, M38_480_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_480_8))))
% 293.42/42.83 -> [15929] ~(unequally_directed_lines(skolem_N7979, M38_480_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_480_8)))
% 293.42/42.83 -> [15930] (left_convergent_lines(skolem_N7979, M38_480_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_480_8)))
% 293.42/42.83
% 293.42/42.83 [15930] BETA_OR : (left_convergent_lines(skolem_N7979, M38_480_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_480_8)))
% 293.42/42.83 -> [15933] left_convergent_lines(skolem_N7979, M38_480_8)
% 293.42/42.83 -> [15934] left_convergent_lines(skolem_N7979, reverse_line(M38_480_8))
% 293.42/42.83
% 293.42/42.83 [15934] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [16547] ~(left_apart_point(A39_980_9, L40_980_9) | left_apart_point(A39_980_9, reverse_line(L40_980_9)))
% 293.42/42.83
% 293.42/42.83 [16547] ALPHA_NOT_OR : ~(left_apart_point(A39_980_9, L40_980_9) | left_apart_point(A39_980_9, reverse_line(L40_980_9)))
% 293.42/42.83 -> [16552] ~left_apart_point(A39_980_9, L40_980_9), ~left_apart_point(A39_980_9, reverse_line(L40_980_9))
% 293.42/42.83
% 293.42/42.83 [16552] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.83 -> [17281] ~(left_convergent_lines(L41_125_10, M42_125_10) | left_convergent_lines(L41_125_10, reverse_line(M42_125_10)))
% 293.42/42.83
% 293.42/42.83 [17281] ALPHA_NOT_OR : ~(left_convergent_lines(L41_125_10, M42_125_10) | left_convergent_lines(L41_125_10, reverse_line(M42_125_10)))
% 293.42/42.83 -> [17283] ~left_convergent_lines(L41_125_10, M42_125_10), ~left_convergent_lines(L41_125_10, reverse_line(M42_125_10))
% 293.42/42.83
% 293.42/42.83 [17283] CLOSURE : ~left_convergent_lines(L41_125_10, M42_125_10)
% 293.42/42.83
% 293.42/42.83 [15933] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [16690] ~(left_apart_point(A39_997_9, L40_997_9) | left_apart_point(A39_997_9, reverse_line(L40_997_9)))
% 293.42/42.83
% 293.42/42.83 [16690] ALPHA_NOT_OR : ~(left_apart_point(A39_997_9, L40_997_9) | left_apart_point(A39_997_9, reverse_line(L40_997_9)))
% 293.42/42.83 -> [16693] ~left_apart_point(A39_997_9, L40_997_9), ~left_apart_point(A39_997_9, reverse_line(L40_997_9))
% 293.42/42.83
% 293.42/42.83 [16693] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.83 -> [17482] ~(left_convergent_lines(L41_130_10, M42_130_10) | left_convergent_lines(L41_130_10, reverse_line(M42_130_10)))
% 293.42/42.83
% 293.42/42.83 [17482] ALPHA_NOT_OR : ~(left_convergent_lines(L41_130_10, M42_130_10) | left_convergent_lines(L41_130_10, reverse_line(M42_130_10)))
% 293.42/42.83 -> [17487] ~left_convergent_lines(L41_130_10, M42_130_10), ~left_convergent_lines(L41_130_10, reverse_line(M42_130_10))
% 293.42/42.83
% 293.42/42.83 [17487] CLOSURE : ~left_convergent_lines(L41_130_10, M42_130_10)
% 293.42/42.83
% 293.42/42.83 [15929] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_480_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_480_8)))
% 293.42/42.83 -> [16093] ~unequally_directed_lines(skolem_N7979, M38_480_8)
% 293.42/42.83 -> [16094] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_480_8))
% 293.42/42.83
% 293.42/42.83 [16094] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_480_8))
% 293.42/42.83
% 293.42/42.83 [16093] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_480_8)
% 293.42/42.83
% 293.42/42.83 [596] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.83 -> [599] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.83
% 293.42/42.83 [599] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.83 -> [600] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.42/42.83 -> [601] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [601] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.83 -> [709] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.83
% 293.42/42.83 [709] 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))))
% 293.42/42.83 -> [958] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.83
% 293.42/42.83 [958] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.83 -> [961] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.83 -> [962] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.83
% 293.42/42.83 [961] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.83
% 293.42/42.83 [962] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.83 -> [4043] distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.83 -> [4044] distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.83
% 293.42/42.83 [4044] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.83
% 293.42/42.83 [4043] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.83 -> [4462] ~distinct_lines(M26_110_3, M26_110_3)
% 293.42/42.83
% 293.42/42.83 [4462] 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))))
% 293.42/42.83 -> [4477] (distinct_lines(M26_110_3, M26_110_3) => (distinct_lines(M26_110_3, M26_110_3) | distinct_lines(M26_110_3, M26_110_3)))
% 293.42/42.83
% 293.42/42.83 [4477] BETA_IMPLY : (distinct_lines(M26_110_3, M26_110_3) => (distinct_lines(M26_110_3, M26_110_3) | distinct_lines(M26_110_3, M26_110_3)))
% 293.42/42.83 -> [4478] ~distinct_lines(M26_110_3, M26_110_3)
% 293.42/42.83 -> [4479] (distinct_lines(M26_110_3, M26_110_3) | distinct_lines(M26_110_3, M26_110_3))
% 293.42/42.83
% 293.42/42.83 [4479] BETA_OR : (distinct_lines(M26_110_3, M26_110_3) | distinct_lines(M26_110_3, M26_110_3))
% 293.42/42.83 -> [4483] distinct_lines(M26_110_3, M26_110_3)
% 293.42/42.83 -> [4484] distinct_lines(M26_110_3, M26_110_3)
% 293.42/42.83
% 293.42/42.83 [4483] CLOSURE : distinct_lines(M26_110_3, M26_110_3)
% 293.42/42.83
% 293.42/42.83 [4484] CLOSURE : distinct_lines(M26_110_3, M26_110_3)
% 293.42/42.83
% 293.42/42.83 [4478] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.83 -> [4515] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.83
% 293.42/42.83 [4515] 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))))
% 293.42/42.83 -> [4524] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878)))
% 293.42/42.83
% 293.42/42.83 [4524] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878)))
% 293.42/42.83 -> [4525] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.83 -> [4526] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [4525] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.83
% 293.42/42.83 [4526] 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)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878))
% 293.42/42.83 -> [4718] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.83 -> [4719] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878)
% 293.42/42.83
% 293.42/42.83 [4718] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.83
% 293.42/42.83 [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))))))
% 293.42/42.83 -> [4960] ((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)))))
% 293.42/42.83
% 293.42/42.83 [4960] 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)))))
% 293.42/42.83 -> [4961] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.83 -> [4962] ((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))))
% 293.42/42.83
% 293.42/42.83 [4961] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.83 -> [4968] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.83 -> [4969] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.83
% 293.42/42.83 [4969] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.83
% 293.42/42.83 [4968] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.83
% 293.42/42.83 [4962] 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))))
% 293.42/42.83 -> [6913] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [6914] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.83
% 293.42/42.83 [6913] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [6918] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [6918] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.83
% 293.42/42.83 [6914] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [6919] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [6919] 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)))))
% 293.42/42.83 -> [7048] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.83
% 293.42/42.83 [7048] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.83 -> [7049] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.83 -> [7050] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.83
% 293.42/42.83 [7050] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [7051] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.83 -> [7052] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [7051] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.83
% 293.42/42.83 [7052] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.83 -> [7139] ((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))))
% 293.42/42.83
% 293.42/42.83 [7139] 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))))
% 293.42/42.83 -> [7140] ~(unequally_directed_lines(skolem_N7979, M38_52_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_52_8)))
% 293.42/42.83 -> [7141] (left_convergent_lines(skolem_N7979, M38_52_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_52_8)))
% 293.42/42.83
% 293.42/42.83 [7141] BETA_OR : (left_convergent_lines(skolem_N7979, M38_52_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_52_8)))
% 293.42/42.83 -> [7146] left_convergent_lines(skolem_N7979, M38_52_8)
% 293.42/42.83 -> [7147] left_convergent_lines(skolem_N7979, reverse_line(M38_52_8))
% 293.42/42.83
% 293.42/42.83 [7147] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [7266] ~(left_apart_point(A39_95_9, L40_95_9) | left_apart_point(A39_95_9, reverse_line(L40_95_9)))
% 293.42/42.83
% 293.42/42.83 [7266] ALPHA_NOT_OR : ~(left_apart_point(A39_95_9, L40_95_9) | left_apart_point(A39_95_9, reverse_line(L40_95_9)))
% 293.42/42.83 -> [7267] ~left_apart_point(A39_95_9, L40_95_9), ~left_apart_point(A39_95_9, reverse_line(L40_95_9))
% 293.42/42.83
% 293.42/42.83 [7267] CLOSURE : ~left_apart_point(A39_95_9, L40_95_9)
% 293.42/42.83
% 293.42/42.83 [7146] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [7284] ~(left_apart_point(A39_97_9, L40_97_9) | left_apart_point(A39_97_9, reverse_line(L40_97_9)))
% 293.42/42.83
% 293.42/42.83 [7284] ALPHA_NOT_OR : ~(left_apart_point(A39_97_9, L40_97_9) | left_apart_point(A39_97_9, reverse_line(L40_97_9)))
% 293.42/42.83 -> [7285] ~left_apart_point(A39_97_9, L40_97_9), ~left_apart_point(A39_97_9, reverse_line(L40_97_9))
% 293.42/42.83
% 293.42/42.83 [7285] CLOSURE : ~left_apart_point(A39_97_9, L40_97_9)
% 293.42/42.83
% 293.42/42.83 [7140] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_52_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_52_8)))
% 293.42/42.83 -> [7189] ~unequally_directed_lines(skolem_N7979, M38_52_8)
% 293.42/42.83 -> [7190] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_52_8))
% 293.42/42.83
% 293.42/42.83 [7190] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_52_8))
% 293.42/42.83
% 293.42/42.83 [7189] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_52_8)
% 293.42/42.83
% 293.42/42.83 [7049] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.83 -> [7074] ~line(skolem_M7878)
% 293.42/42.83 -> [7075] ~line(skolem_M7878)
% 293.42/42.83
% 293.42/42.83 [7074] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.83 -> [7166] ((unequally_directed_lines(skolem_N7979, M38_53_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_53_8))) => (left_convergent_lines(skolem_N7979, M38_53_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_53_8))))
% 293.42/42.83
% 293.42/42.83 [7166] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_53_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_53_8))) => (left_convergent_lines(skolem_N7979, M38_53_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_53_8))))
% 293.42/42.83 -> [7167] ~(unequally_directed_lines(skolem_N7979, M38_53_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_53_8)))
% 293.42/42.83 -> [7168] (left_convergent_lines(skolem_N7979, M38_53_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_53_8)))
% 293.42/42.83
% 293.42/42.83 [7167] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_53_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_53_8)))
% 293.42/42.83 -> [7213] ~unequally_directed_lines(skolem_N7979, M38_53_8)
% 293.42/42.83 -> [7214] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_53_8))
% 293.42/42.83
% 293.42/42.83 [7214] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_53_8))
% 293.42/42.83
% 293.42/42.83 [7213] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_53_8)
% 293.42/42.83
% 293.42/42.83 [7168] BETA_OR : (left_convergent_lines(skolem_N7979, M38_53_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_53_8)))
% 293.42/42.83 -> [7169] left_convergent_lines(skolem_N7979, M38_53_8)
% 293.42/42.83 -> [7170] left_convergent_lines(skolem_N7979, reverse_line(M38_53_8))
% 293.42/42.83
% 293.42/42.83 [7169] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [7296] ~(left_apart_point(A39_98_9, L40_98_9) | left_apart_point(A39_98_9, reverse_line(L40_98_9)))
% 293.42/42.83
% 293.42/42.83 [7296] ALPHA_NOT_OR : ~(left_apart_point(A39_98_9, L40_98_9) | left_apart_point(A39_98_9, reverse_line(L40_98_9)))
% 293.42/42.83 -> [7298] ~left_apart_point(A39_98_9, L40_98_9), ~left_apart_point(A39_98_9, reverse_line(L40_98_9))
% 293.42/42.83
% 293.42/42.83 [7298] CLOSURE : ~left_apart_point(A39_98_9, L40_98_9)
% 293.42/42.83
% 293.42/42.83 [7170] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [7277] ~(left_apart_point(A39_96_9, L40_96_9) | left_apart_point(A39_96_9, reverse_line(L40_96_9)))
% 293.42/42.83
% 293.42/42.83 [7277] ALPHA_NOT_OR : ~(left_apart_point(A39_96_9, L40_96_9) | left_apart_point(A39_96_9, reverse_line(L40_96_9)))
% 293.42/42.83 -> [7279] ~left_apart_point(A39_96_9, L40_96_9), ~left_apart_point(A39_96_9, reverse_line(L40_96_9))
% 293.42/42.83
% 293.42/42.83 [7279] CLOSURE : ~left_apart_point(A39_96_9, L40_96_9)
% 293.42/42.83
% 293.42/42.83 [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)))))
% 293.42/42.83 -> [7126] ((unequally_directed_lines(skolem_N7979, M38_50_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_50_8))) => (left_convergent_lines(skolem_N7979, M38_50_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_50_8))))
% 293.42/42.83
% 293.42/42.83 [7126] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_50_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_50_8))) => (left_convergent_lines(skolem_N7979, M38_50_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_50_8))))
% 293.42/42.83 -> [7128] ~(unequally_directed_lines(skolem_N7979, M38_50_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_50_8)))
% 293.42/42.83 -> [7129] (left_convergent_lines(skolem_N7979, M38_50_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_50_8)))
% 293.42/42.83
% 293.42/42.83 [7129] BETA_OR : (left_convergent_lines(skolem_N7979, M38_50_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_50_8)))
% 293.42/42.83 -> [7133] left_convergent_lines(skolem_N7979, M38_50_8)
% 293.42/42.83 -> [7134] left_convergent_lines(skolem_N7979, reverse_line(M38_50_8))
% 293.42/42.83
% 293.42/42.83 [7134] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [7259] ~(left_apart_point(A39_94_9, L40_94_9) | left_apart_point(A39_94_9, reverse_line(L40_94_9)))
% 293.42/42.83
% 293.42/42.83 [7259] ALPHA_NOT_OR : ~(left_apart_point(A39_94_9, L40_94_9) | left_apart_point(A39_94_9, reverse_line(L40_94_9)))
% 293.42/42.83 -> [7260] ~left_apart_point(A39_94_9, L40_94_9), ~left_apart_point(A39_94_9, reverse_line(L40_94_9))
% 293.42/42.83
% 293.42/42.83 [7260] CLOSURE : ~left_apart_point(A39_94_9, L40_94_9)
% 293.42/42.83
% 293.42/42.83 [7133] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [7303] ~(left_apart_point(A39_99_9, L40_99_9) | left_apart_point(A39_99_9, reverse_line(L40_99_9)))
% 293.42/42.83
% 293.42/42.83 [7303] ALPHA_NOT_OR : ~(left_apart_point(A39_99_9, L40_99_9) | left_apart_point(A39_99_9, reverse_line(L40_99_9)))
% 293.42/42.83 -> [7304] ~left_apart_point(A39_99_9, L40_99_9), ~left_apart_point(A39_99_9, reverse_line(L40_99_9))
% 293.42/42.83
% 293.42/42.83 [7304] CLOSURE : ~left_apart_point(A39_99_9, L40_99_9)
% 293.42/42.83
% 293.42/42.83 [7128] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_50_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_50_8)))
% 293.42/42.83 -> [7177] ~unequally_directed_lines(skolem_N7979, M38_50_8)
% 293.42/42.83 -> [7178] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_50_8))
% 293.42/42.83
% 293.42/42.83 [7178] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_50_8))
% 293.42/42.83
% 293.42/42.83 [7177] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_50_8)
% 293.42/42.83
% 293.42/42.83 [600] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.83 -> [738] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.83
% 293.42/42.83 [738] 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))))
% 293.42/42.83 -> [855] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.83
% 293.42/42.83 [855] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.83 -> [859] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.83 -> [860] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.83
% 293.42/42.83 [859] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.83
% 293.42/42.83 [860] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.83 -> [3941] distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.83 -> [3942] distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.83
% 293.42/42.83 [3942] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.83
% 293.42/42.83 [3941] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.83 -> [5541] ~distinct_lines(N27_157_3, N27_157_3)
% 293.42/42.83
% 293.42/42.83 [5541] 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))))
% 293.42/42.83 -> [5565] (distinct_lines(N27_157_3, N27_157_3) => (distinct_lines(N27_157_3, N27_157_3) | distinct_lines(N27_157_3, N27_157_3)))
% 293.42/42.83
% 293.42/42.83 [5565] BETA_IMPLY : (distinct_lines(N27_157_3, N27_157_3) => (distinct_lines(N27_157_3, N27_157_3) | distinct_lines(N27_157_3, N27_157_3)))
% 293.42/42.83 -> [5567] ~distinct_lines(N27_157_3, N27_157_3)
% 293.42/42.83 -> [5568] (distinct_lines(N27_157_3, N27_157_3) | distinct_lines(N27_157_3, N27_157_3))
% 293.42/42.83
% 293.42/42.83 [5568] BETA_OR : (distinct_lines(N27_157_3, N27_157_3) | distinct_lines(N27_157_3, N27_157_3))
% 293.42/42.83 -> [5574] distinct_lines(N27_157_3, N27_157_3)
% 293.42/42.83 -> [5575] distinct_lines(N27_157_3, N27_157_3)
% 293.42/42.83
% 293.42/42.83 [5574] CLOSURE : distinct_lines(N27_157_3, N27_157_3)
% 293.42/42.83
% 293.42/42.83 [5575] CLOSURE : distinct_lines(N27_157_3, N27_157_3)
% 293.42/42.83
% 293.42/42.83 [5567] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.83 -> [5674] ~unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.83
% 293.42/42.83 [5674] 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))))
% 293.42/42.83 -> [5675] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.83
% 293.42/42.83 [5675] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.83 -> [5676] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.83 -> [5677] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.83
% 293.42/42.83 [5676] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.83
% 293.42/42.83 [5677] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.83 -> [7695] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.83 -> [7696] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.83
% 293.42/42.83 [7696] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.83
% 293.42/42.83 [7695] 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))))))
% 293.42/42.83 -> [11014] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_141_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_141_6))) | (unequally_directed_lines(skolem_N7979, N34_141_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_141_6)))))
% 293.42/42.83
% 293.42/42.83 [11014] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_141_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_141_6))) | (unequally_directed_lines(skolem_N7979, N34_141_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_141_6)))))
% 293.42/42.83 -> [11016] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.83 -> [11017] ((unequally_directed_lines(skolem_M7878, N34_141_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_141_6))) | (unequally_directed_lines(skolem_N7979, N34_141_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_141_6))))
% 293.42/42.83
% 293.42/42.83 [11016] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.83 -> [11044] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.83 -> [11045] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.83
% 293.42/42.83 [11045] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.83
% 293.42/42.83 [11044] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.83
% 293.42/42.83 [11017] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_141_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_141_6))) | (unequally_directed_lines(skolem_N7979, N34_141_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_141_6))))
% 293.42/42.83 -> [22517] (unequally_directed_lines(skolem_M7878, N34_141_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_141_6)))
% 293.42/42.83 -> [22518] (unequally_directed_lines(skolem_N7979, N34_141_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_141_6)))
% 293.42/42.83
% 293.42/42.83 [22518] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_141_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_141_6)))
% 293.42/42.83 -> [22521] unequally_directed_lines(skolem_N7979, N34_141_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_141_6))
% 293.42/42.83
% 293.42/42.83 [22521] 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)))))
% 293.42/42.83 -> [22626] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.83
% 293.42/42.83 [22626] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.83 -> [22627] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.83 -> [22628] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.83
% 293.42/42.83 [22627] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.83 -> [22688] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.83 -> [22689] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.83
% 293.42/42.83 [22689] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.83 -> [22942] ((unequally_directed_lines(skolem_N7979, M38_930_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_930_8))) => (left_convergent_lines(skolem_N7979, M38_930_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_930_8))))
% 293.42/42.83
% 293.42/42.83 [22942] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_930_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_930_8))) => (left_convergent_lines(skolem_N7979, M38_930_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_930_8))))
% 293.42/42.83 -> [22943] ~(unequally_directed_lines(skolem_N7979, M38_930_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_930_8)))
% 293.42/42.83 -> [22944] (left_convergent_lines(skolem_N7979, M38_930_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_930_8)))
% 293.42/42.83
% 293.42/42.83 [22943] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_930_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_930_8)))
% 293.42/42.83 -> [22959] ~unequally_directed_lines(skolem_N7979, M38_930_8)
% 293.42/42.83 -> [22960] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_930_8))
% 293.42/42.83
% 293.42/42.83 [22960] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_930_8))
% 293.42/42.83
% 293.42/42.83 [22959] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_930_8)
% 293.42/42.83
% 293.42/42.83 [22944] BETA_OR : (left_convergent_lines(skolem_N7979, M38_930_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_930_8)))
% 293.42/42.83 -> [22949] left_convergent_lines(skolem_N7979, M38_930_8)
% 293.42/42.83 -> [22950] left_convergent_lines(skolem_N7979, reverse_line(M38_930_8))
% 293.42/42.83
% 293.42/42.83 [22949] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [23000] ~(left_apart_point(A39_1808_9, L40_1808_9) | left_apart_point(A39_1808_9, reverse_line(L40_1808_9)))
% 293.42/42.83
% 293.42/42.83 [23000] ALPHA_NOT_OR : ~(left_apart_point(A39_1808_9, L40_1808_9) | left_apart_point(A39_1808_9, reverse_line(L40_1808_9)))
% 293.42/42.83 -> [23004] ~left_apart_point(A39_1808_9, L40_1808_9), ~left_apart_point(A39_1808_9, reverse_line(L40_1808_9))
% 293.42/42.83
% 293.42/42.83 [23004] CLOSURE : ~left_apart_point(A39_1808_9, L40_1808_9)
% 293.42/42.83
% 293.42/42.83 [22950] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [23007] ~(left_apart_point(A39_1809_9, L40_1809_9) | left_apart_point(A39_1809_9, reverse_line(L40_1809_9)))
% 293.42/42.83
% 293.42/42.83 [23007] ALPHA_NOT_OR : ~(left_apart_point(A39_1809_9, L40_1809_9) | left_apart_point(A39_1809_9, reverse_line(L40_1809_9)))
% 293.42/42.83 -> [23009] ~left_apart_point(A39_1809_9, L40_1809_9), ~left_apart_point(A39_1809_9, reverse_line(L40_1809_9))
% 293.42/42.83
% 293.42/42.83 [23009] CLOSURE : ~left_apart_point(A39_1809_9, L40_1809_9)
% 293.42/42.83
% 293.42/42.83 [22688] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.83 -> [22919] ((unequally_directed_lines(skolem_N7979, M38_928_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_928_8))) => (left_convergent_lines(skolem_N7979, M38_928_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_928_8))))
% 293.42/42.83
% 293.42/42.83 [22919] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_928_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_928_8))) => (left_convergent_lines(skolem_N7979, M38_928_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_928_8))))
% 293.42/42.83 -> [22921] ~(unequally_directed_lines(skolem_N7979, M38_928_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_928_8)))
% 293.42/42.83 -> [22922] (left_convergent_lines(skolem_N7979, M38_928_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_928_8)))
% 293.42/42.83
% 293.42/42.83 [22921] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_928_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_928_8)))
% 293.42/42.83 -> [22938] ~unequally_directed_lines(skolem_N7979, M38_928_8)
% 293.42/42.83 -> [22939] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_928_8))
% 293.42/42.83
% 293.42/42.83 [22939] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_928_8))
% 293.42/42.83
% 293.42/42.83 [22938] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_928_8)
% 293.42/42.83
% 293.42/42.83 [22922] BETA_OR : (left_convergent_lines(skolem_N7979, M38_928_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_928_8)))
% 293.42/42.83 -> [23071] left_convergent_lines(skolem_N7979, M38_928_8)
% 293.42/42.83 -> [23072] left_convergent_lines(skolem_N7979, reverse_line(M38_928_8))
% 293.42/42.83
% 293.42/42.83 [23072] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [23164] ~(left_apart_point(A39_1830_9, L40_1830_9) | left_apart_point(A39_1830_9, reverse_line(L40_1830_9)))
% 293.42/42.83
% 293.42/42.83 [23164] ALPHA_NOT_OR : ~(left_apart_point(A39_1830_9, L40_1830_9) | left_apart_point(A39_1830_9, reverse_line(L40_1830_9)))
% 293.42/42.83 -> [23167] ~left_apart_point(A39_1830_9, L40_1830_9), ~left_apart_point(A39_1830_9, reverse_line(L40_1830_9))
% 293.42/42.83
% 293.42/42.83 [23167] CLOSURE : ~left_apart_point(A39_1830_9, L40_1830_9)
% 293.42/42.83
% 293.42/42.83 [23071] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [23181] ~(left_apart_point(A39_1835_9, L40_1835_9) | left_apart_point(A39_1835_9, reverse_line(L40_1835_9)))
% 293.42/42.83
% 293.42/42.83 [23181] ALPHA_NOT_OR : ~(left_apart_point(A39_1835_9, L40_1835_9) | left_apart_point(A39_1835_9, reverse_line(L40_1835_9)))
% 293.42/42.83 -> [23185] ~left_apart_point(A39_1835_9, L40_1835_9), ~left_apart_point(A39_1835_9, reverse_line(L40_1835_9))
% 293.42/42.83
% 293.42/42.83 [23185] CLOSURE : ~left_apart_point(A39_1835_9, L40_1835_9)
% 293.42/42.83
% 293.42/42.83 [22628] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.83 -> [22637] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.83 -> [22638] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.83
% 293.42/42.83 [22637] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.83
% 293.42/42.83 [22638] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.83 -> [22900] ((unequally_directed_lines(skolem_N7979, M38_925_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_925_8))) => (left_convergent_lines(skolem_N7979, M38_925_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_925_8))))
% 293.42/42.83
% 293.42/42.83 [22900] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_925_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_925_8))) => (left_convergent_lines(skolem_N7979, M38_925_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_925_8))))
% 293.42/42.83 -> [22901] ~(unequally_directed_lines(skolem_N7979, M38_925_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_925_8)))
% 293.42/42.83 -> [22902] (left_convergent_lines(skolem_N7979, M38_925_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_925_8)))
% 293.42/42.83
% 293.42/42.83 [22902] BETA_OR : (left_convergent_lines(skolem_N7979, M38_925_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_925_8)))
% 293.42/42.83 -> [23044] left_convergent_lines(skolem_N7979, M38_925_8)
% 293.42/42.83 -> [23045] left_convergent_lines(skolem_N7979, reverse_line(M38_925_8))
% 293.42/42.83
% 293.42/42.83 [23045] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [23121] ~(left_apart_point(A39_1822_9, L40_1822_9) | left_apart_point(A39_1822_9, reverse_line(L40_1822_9)))
% 293.42/42.83
% 293.42/42.83 [23121] ALPHA_NOT_OR : ~(left_apart_point(A39_1822_9, L40_1822_9) | left_apart_point(A39_1822_9, reverse_line(L40_1822_9)))
% 293.42/42.83 -> [23126] ~left_apart_point(A39_1822_9, L40_1822_9), ~left_apart_point(A39_1822_9, reverse_line(L40_1822_9))
% 293.42/42.83
% 293.42/42.83 [23126] CLOSURE : ~left_apart_point(A39_1822_9, L40_1822_9)
% 293.42/42.83
% 293.42/42.83 [23044] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [23152] ~(left_apart_point(A39_1828_9, L40_1828_9) | left_apart_point(A39_1828_9, reverse_line(L40_1828_9)))
% 293.42/42.83
% 293.42/42.83 [23152] ALPHA_NOT_OR : ~(left_apart_point(A39_1828_9, L40_1828_9) | left_apart_point(A39_1828_9, reverse_line(L40_1828_9)))
% 293.42/42.83 -> [23159] ~left_apart_point(A39_1828_9, L40_1828_9), ~left_apart_point(A39_1828_9, reverse_line(L40_1828_9))
% 293.42/42.83
% 293.42/42.83 [23159] CLOSURE : ~left_apart_point(A39_1828_9, L40_1828_9)
% 293.42/42.83
% 293.42/42.83 [22901] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_925_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_925_8)))
% 293.42/42.83 -> [23059] ~unequally_directed_lines(skolem_N7979, M38_925_8)
% 293.42/42.83 -> [23060] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_925_8))
% 293.42/42.83
% 293.42/42.83 [23060] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_925_8))
% 293.42/42.83
% 293.42/42.83 [23059] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_925_8)
% 293.42/42.83
% 293.42/42.83 [22517] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_141_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_141_6)))
% 293.42/42.83 -> [22534] unequally_directed_lines(skolem_M7878, N34_141_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_141_6))
% 293.42/42.83
% 293.42/42.83 [22534] 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)))))
% 293.42/42.83 -> [22608] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.83
% 293.42/42.83 [22608] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.83 -> [22610] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.83 -> [22611] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.83
% 293.42/42.83 [22611] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.83 -> [22617] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.83 -> [22618] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.83
% 293.42/42.83 [22617] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.83
% 293.42/42.83 [22618] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.83 -> [24786] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.83
% 293.42/42.83 [24786] 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))))
% 293.42/42.83 -> [24789] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [24790] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83
% 293.42/42.83 [24789] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [24825] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.83 -> [24826] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [24825] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.83
% 293.42/42.83 [24826] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [24790] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [24793] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.83 -> [24794] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [24794] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [24939] ~(left_apart_point(A39_2110_9, L40_2110_9) | left_apart_point(A39_2110_9, reverse_line(L40_2110_9)))
% 293.42/42.83
% 293.42/42.83 [24939] ALPHA_NOT_OR : ~(left_apart_point(A39_2110_9, L40_2110_9) | left_apart_point(A39_2110_9, reverse_line(L40_2110_9)))
% 293.42/42.83 -> [24944] ~left_apart_point(A39_2110_9, L40_2110_9), ~left_apart_point(A39_2110_9, reverse_line(L40_2110_9))
% 293.42/42.83
% 293.42/42.83 [24944] CLOSURE : ~left_apart_point(A39_2110_9, L40_2110_9)
% 293.42/42.83
% 293.42/42.83 [24793] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [25661] ~(left_apart_point(A39_2214_9, L40_2214_9) | left_apart_point(A39_2214_9, reverse_line(L40_2214_9)))
% 293.42/42.83
% 293.42/42.83 [25661] ALPHA_NOT_OR : ~(left_apart_point(A39_2214_9, L40_2214_9) | left_apart_point(A39_2214_9, reverse_line(L40_2214_9)))
% 293.42/42.83 -> [25662] ~left_apart_point(A39_2214_9, L40_2214_9), ~left_apart_point(A39_2214_9, reverse_line(L40_2214_9))
% 293.42/42.83
% 293.42/42.83 [25662] CLOSURE : ~left_apart_point(A39_2214_9, L40_2214_9)
% 293.42/42.83
% 293.42/42.83 [22610] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.83 -> [22677] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.83 -> [22678] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.83
% 293.42/42.83 [22678] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.83 -> [24695] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.83
% 293.42/42.83 [24695] 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))))
% 293.42/42.83 -> [24696] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [24697] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83
% 293.42/42.83 [24697] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [24704] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.83 -> [24705] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [24705] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [24776] ~(left_apart_point(A39_2083_9, L40_2083_9) | left_apart_point(A39_2083_9, reverse_line(L40_2083_9)))
% 293.42/42.83
% 293.42/42.83 [24776] ALPHA_NOT_OR : ~(left_apart_point(A39_2083_9, L40_2083_9) | left_apart_point(A39_2083_9, reverse_line(L40_2083_9)))
% 293.42/42.83 -> [24777] ~left_apart_point(A39_2083_9, L40_2083_9), ~left_apart_point(A39_2083_9, reverse_line(L40_2083_9))
% 293.42/42.83
% 293.42/42.83 [24777] CLOSURE : ~left_apart_point(A39_2083_9, L40_2083_9)
% 293.42/42.83
% 293.42/42.83 [24704] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [24803] ~(left_apart_point(A39_2089_9, L40_2089_9) | left_apart_point(A39_2089_9, reverse_line(L40_2089_9)))
% 293.42/42.83
% 293.42/42.83 [24803] ALPHA_NOT_OR : ~(left_apart_point(A39_2089_9, L40_2089_9) | left_apart_point(A39_2089_9, reverse_line(L40_2089_9)))
% 293.42/42.83 -> [24805] ~left_apart_point(A39_2089_9, L40_2089_9), ~left_apart_point(A39_2089_9, reverse_line(L40_2089_9))
% 293.42/42.83
% 293.42/42.83 [24805] CLOSURE : ~left_apart_point(A39_2089_9, L40_2089_9)
% 293.42/42.83
% 293.42/42.83 [24696] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [24718] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.83 -> [24719] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [24719] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [24718] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.83
% 293.42/42.83 [22677] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.83 -> [24647] ((unequally_directed_lines(skolem_M7878, M38_1051_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1051_8))) => (left_convergent_lines(skolem_M7878, M38_1051_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1051_8))))
% 293.42/42.83
% 293.42/42.83 [24647] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_1051_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1051_8))) => (left_convergent_lines(skolem_M7878, M38_1051_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1051_8))))
% 293.42/42.83 -> [24648] ~(unequally_directed_lines(skolem_M7878, M38_1051_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1051_8)))
% 293.42/42.83 -> [24649] (left_convergent_lines(skolem_M7878, M38_1051_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1051_8)))
% 293.42/42.83
% 293.42/42.83 [24649] BETA_OR : (left_convergent_lines(skolem_M7878, M38_1051_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1051_8)))
% 293.42/42.83 -> [24655] left_convergent_lines(skolem_M7878, M38_1051_8)
% 293.42/42.83 -> [24656] left_convergent_lines(skolem_M7878, reverse_line(M38_1051_8))
% 293.42/42.83
% 293.42/42.83 [24656] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [24713] ~(left_apart_point(A39_2066_9, L40_2066_9) | left_apart_point(A39_2066_9, reverse_line(L40_2066_9)))
% 293.42/42.83
% 293.42/42.83 [24713] ALPHA_NOT_OR : ~(left_apart_point(A39_2066_9, L40_2066_9) | left_apart_point(A39_2066_9, reverse_line(L40_2066_9)))
% 293.42/42.83 -> [24764] ~left_apart_point(A39_2066_9, L40_2066_9), ~left_apart_point(A39_2066_9, reverse_line(L40_2066_9))
% 293.42/42.83
% 293.42/42.83 [24764] CLOSURE : ~left_apart_point(A39_2066_9, L40_2066_9)
% 293.42/42.83
% 293.42/42.83 [24655] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [25657] ~(left_apart_point(A39_2212_9, L40_2212_9) | left_apart_point(A39_2212_9, reverse_line(L40_2212_9)))
% 293.42/42.83
% 293.42/42.83 [25657] ALPHA_NOT_OR : ~(left_apart_point(A39_2212_9, L40_2212_9) | left_apart_point(A39_2212_9, reverse_line(L40_2212_9)))
% 293.42/42.83 -> [25658] ~left_apart_point(A39_2212_9, L40_2212_9), ~left_apart_point(A39_2212_9, reverse_line(L40_2212_9))
% 293.42/42.83
% 293.42/42.83 [25658] CLOSURE : ~left_apart_point(A39_2212_9, L40_2212_9)
% 293.42/42.83
% 293.42/42.83 [24648] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_1051_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1051_8)))
% 293.42/42.83 -> [24689] ~unequally_directed_lines(skolem_M7878, M38_1051_8)
% 293.42/42.83 -> [24690] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_1051_8))
% 293.42/42.83
% 293.42/42.83 [24689] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_1051_8)
% 293.42/42.83
% 293.42/42.83 [24690] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_1051_8))
% 293.42/42.83
% 293.42/42.83 [220] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.83 -> [251] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.42/42.83 -> [252] ~~(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)))
% 293.42/42.83
% 293.42/42.83 [252] 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)))
% 293.42/42.83 -> [259] (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)))
% 293.42/42.83
% 293.42/42.83 [259] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.42/42.83 -> [262] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.83 -> [263] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.83
% 293.42/42.83 [263] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.83 -> [273] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.83
% 293.42/42.83 [273] 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)))
% 293.42/42.83 -> [280] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 293.42/42.83 -> [281] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [281] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.83 -> [399] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.42/42.83 -> [400] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [399] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.83 -> [726] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.83
% 293.42/42.83 [726] 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))))
% 293.42/42.83 -> [825] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.83
% 293.42/42.83 [825] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.83 -> [827] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.83 -> [828] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.83
% 293.42/42.83 [827] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.83
% 293.42/42.83 [828] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.83 -> [5429] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.83 -> [5430] distinct_points(skolem_A8080, skolem_B8181)
% 293.42/42.83
% 293.42/42.83 [5429] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.83
% 293.42/42.83 [5430] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.83 -> [6424] ~distinct_lines(N27_206_3, N27_206_3)
% 293.42/42.83
% 293.42/42.83 [6424] 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))))
% 293.42/42.83 -> [6483] (distinct_lines(N27_206_3, N27_206_3) => (distinct_lines(N27_206_3, N27_206_3) | distinct_lines(N27_206_3, N27_206_3)))
% 293.42/42.83
% 293.42/42.83 [6483] BETA_IMPLY : (distinct_lines(N27_206_3, N27_206_3) => (distinct_lines(N27_206_3, N27_206_3) | distinct_lines(N27_206_3, N27_206_3)))
% 293.42/42.83 -> [6490] ~distinct_lines(N27_206_3, N27_206_3)
% 293.42/42.83 -> [6491] (distinct_lines(N27_206_3, N27_206_3) | distinct_lines(N27_206_3, N27_206_3))
% 293.42/42.83
% 293.42/42.83 [6491] BETA_OR : (distinct_lines(N27_206_3, N27_206_3) | distinct_lines(N27_206_3, N27_206_3))
% 293.42/42.83 -> [6494] distinct_lines(N27_206_3, N27_206_3)
% 293.42/42.83 -> [6495] distinct_lines(N27_206_3, N27_206_3)
% 293.42/42.83
% 293.42/42.83 [6494] CLOSURE : distinct_lines(N27_206_3, N27_206_3)
% 293.42/42.83
% 293.42/42.83 [6495] CLOSURE : distinct_lines(N27_206_3, N27_206_3)
% 293.42/42.83
% 293.42/42.83 [6490] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.83 -> [6528] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.83
% 293.42/42.83 [6528] 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))))
% 293.42/42.83 -> [6591] (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)))
% 293.42/42.83
% 293.42/42.83 [6591] 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)))
% 293.42/42.83 -> [6593] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.83 -> [6594] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [6593] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.83
% 293.42/42.83 [6594] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.83 -> [8186] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.83 -> [8187] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.83
% 293.42/42.83 [8186] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.83
% 293.42/42.83 [8187] 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))))))
% 293.42/42.83 -> [11113] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => ((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_M7878, line_connecting(skolem_C8282, skolem_B8181)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))))
% 293.42/42.83
% 293.42/42.83 [11113] 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_C8282, skolem_B8181)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))) | (unequally_directed_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))))
% 293.42/42.83 -> [11116] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [11117] ((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_M7878, line_connecting(skolem_C8282, skolem_B8181)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))))
% 293.42/42.83
% 293.42/42.83 [11116] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [11174] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.83 -> [11175] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [11174] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.83
% 293.42/42.83 [11175] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [11117] 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_M7878, line_connecting(skolem_C8282, skolem_B8181)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))))
% 293.42/42.83 -> [15062] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 293.42/42.83 -> [15063] (unequally_directed_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 293.42/42.83
% 293.42/42.83 [15062] 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))))
% 293.42/42.83 -> [16397] unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)), unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))
% 293.42/42.83
% 293.42/42.83 [16397] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 293.42/42.83
% 293.42/42.83 [15065] 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)))))
% 293.42/42.83 -> [19917] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.83
% 293.42/42.83 [19917] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.83 -> [19920] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.83 -> [19921] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.83
% 293.42/42.83 [19921] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [19930] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.83 -> [19931] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [19930] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.83
% 293.42/42.83 [19931] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.83 -> [20192] ((unequally_directed_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))) => (left_convergent_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181)) | left_convergent_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))))
% 293.42/42.83
% 293.42/42.83 [20192] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))) => (left_convergent_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181)) | left_convergent_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))))
% 293.42/42.83 -> [20197] ~(unequally_directed_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 293.42/42.83 -> [20198] (left_convergent_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181)) | left_convergent_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 293.42/42.83
% 293.42/42.83 [20198] BETA_OR : (left_convergent_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181)) | left_convergent_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 293.42/42.83 -> [20204] left_convergent_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181))
% 293.42/42.83 -> [20205] left_convergent_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))
% 293.42/42.83
% 293.42/42.83 [20205] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [20390] ~(left_apart_point(A39_1479_9, L40_1479_9) | left_apart_point(A39_1479_9, reverse_line(L40_1479_9)))
% 293.42/42.83
% 293.42/42.83 [20390] ALPHA_NOT_OR : ~(left_apart_point(A39_1479_9, L40_1479_9) | left_apart_point(A39_1479_9, reverse_line(L40_1479_9)))
% 293.42/42.83 -> [20394] ~left_apart_point(A39_1479_9, L40_1479_9), ~left_apart_point(A39_1479_9, reverse_line(L40_1479_9))
% 293.42/42.83
% 293.42/42.83 [20394] CLOSURE : ~left_apart_point(A39_1479_9, L40_1479_9)
% 293.42/42.83
% 293.42/42.83 [20204] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [20440] ~(left_apart_point(A39_1486_9, L40_1486_9) | left_apart_point(A39_1486_9, reverse_line(L40_1486_9)))
% 293.42/42.83
% 293.42/42.83 [20440] ALPHA_NOT_OR : ~(left_apart_point(A39_1486_9, L40_1486_9) | left_apart_point(A39_1486_9, reverse_line(L40_1486_9)))
% 293.42/42.83 -> [20442] ~left_apart_point(A39_1486_9, L40_1486_9), ~left_apart_point(A39_1486_9, reverse_line(L40_1486_9))
% 293.42/42.83
% 293.42/42.83 [20442] CLOSURE : ~left_apart_point(A39_1486_9, L40_1486_9)
% 293.42/42.83
% 293.42/42.83 [20197] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 293.42/42.83 -> [20259] ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181))
% 293.42/42.83 -> [20260] ~unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))
% 293.42/42.83
% 293.42/42.83 [20260] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))
% 293.42/42.83
% 293.42/42.83 [20259] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181))
% 293.42/42.83
% 293.42/42.83 [19920] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.83 -> [19984] ~line(skolem_M7878)
% 293.42/42.83 -> [19985] ~line(skolem_M7878)
% 293.42/42.83
% 293.42/42.83 [19985] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.83 -> [20180] ((unequally_directed_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))) => (left_convergent_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181)) | left_convergent_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))))
% 293.42/42.83
% 293.42/42.83 [20180] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))) => (left_convergent_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181)) | left_convergent_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))))
% 293.42/42.83 -> [20183] ~(unequally_directed_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 293.42/42.83 -> [20184] (left_convergent_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181)) | left_convergent_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 293.42/42.83
% 293.42/42.83 [20183] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 293.42/42.83 -> [20251] ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181))
% 293.42/42.83 -> [20252] ~unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))
% 293.42/42.83
% 293.42/42.83 [20252] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))
% 293.42/42.83
% 293.42/42.83 [20251] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181))
% 293.42/42.83
% 293.42/42.83 [20184] BETA_OR : (left_convergent_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181)) | left_convergent_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 293.42/42.83 -> [20186] left_convergent_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181))
% 293.42/42.83 -> [20187] left_convergent_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))
% 293.42/42.83
% 293.42/42.83 [20187] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [20377] ~(left_apart_point(A39_1475_9, L40_1475_9) | left_apart_point(A39_1475_9, reverse_line(L40_1475_9)))
% 293.42/42.83
% 293.42/42.83 [20377] ALPHA_NOT_OR : ~(left_apart_point(A39_1475_9, L40_1475_9) | left_apart_point(A39_1475_9, reverse_line(L40_1475_9)))
% 293.42/42.83 -> [20379] ~left_apart_point(A39_1475_9, L40_1475_9), ~left_apart_point(A39_1475_9, reverse_line(L40_1475_9))
% 293.42/42.83
% 293.42/42.83 [20379] CLOSURE : ~left_apart_point(A39_1475_9, L40_1475_9)
% 293.42/42.83
% 293.42/42.83 [20186] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [20435] ~(left_apart_point(A39_1485_9, L40_1485_9) | left_apart_point(A39_1485_9, reverse_line(L40_1485_9)))
% 293.42/42.83
% 293.42/42.83 [20435] ALPHA_NOT_OR : ~(left_apart_point(A39_1485_9, L40_1485_9) | left_apart_point(A39_1485_9, reverse_line(L40_1485_9)))
% 293.42/42.83 -> [20436] ~left_apart_point(A39_1485_9, L40_1485_9), ~left_apart_point(A39_1485_9, reverse_line(L40_1485_9))
% 293.42/42.83
% 293.42/42.83 [20436] CLOSURE : ~left_apart_point(A39_1485_9, L40_1485_9)
% 293.42/42.83
% 293.42/42.83 [19984] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.83 -> [20242] ((unequally_directed_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))) => (left_convergent_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181)) | left_convergent_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))))
% 293.42/42.83
% 293.42/42.83 [20242] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))) => (left_convergent_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181)) | left_convergent_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))))
% 293.42/42.83 -> [20244] ~(unequally_directed_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 293.42/42.83 -> [20245] (left_convergent_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181)) | left_convergent_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 293.42/42.83
% 293.42/42.83 [20244] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 293.42/42.83 -> [20282] ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181))
% 293.42/42.83 -> [20283] ~unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))
% 293.42/42.83
% 293.42/42.83 [20283] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))
% 293.42/42.83
% 293.42/42.83 [20282] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181))
% 293.42/42.83
% 293.42/42.83 [20245] BETA_OR : (left_convergent_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181)) | left_convergent_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 293.42/42.83 -> [20247] left_convergent_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181))
% 293.42/42.83 -> [20248] left_convergent_lines(skolem_M7878, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))
% 293.42/42.83
% 293.42/42.83 [20248] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [20429] ~(left_apart_point(A39_1484_9, L40_1484_9) | left_apart_point(A39_1484_9, reverse_line(L40_1484_9)))
% 293.42/42.83
% 293.42/42.83 [20429] ALPHA_NOT_OR : ~(left_apart_point(A39_1484_9, L40_1484_9) | left_apart_point(A39_1484_9, reverse_line(L40_1484_9)))
% 293.42/42.83 -> [20430] ~left_apart_point(A39_1484_9, L40_1484_9), ~left_apart_point(A39_1484_9, reverse_line(L40_1484_9))
% 293.42/42.83
% 293.42/42.83 [20430] CLOSURE : ~left_apart_point(A39_1484_9, L40_1484_9)
% 293.42/42.83
% 293.42/42.83 [20247] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [20468] ~(left_apart_point(A39_1488_9, L40_1488_9) | left_apart_point(A39_1488_9, reverse_line(L40_1488_9)))
% 293.42/42.83
% 293.42/42.83 [20468] ALPHA_NOT_OR : ~(left_apart_point(A39_1488_9, L40_1488_9) | left_apart_point(A39_1488_9, reverse_line(L40_1488_9)))
% 293.42/42.83 -> [20471] ~left_apart_point(A39_1488_9, L40_1488_9), ~left_apart_point(A39_1488_9, reverse_line(L40_1488_9))
% 293.42/42.83
% 293.42/42.83 [20471] CLOSURE : ~left_apart_point(A39_1488_9, L40_1488_9)
% 293.42/42.83
% 293.42/42.83 [400] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.83 -> [557] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.83
% 293.42/42.83 [557] 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))))
% 293.42/42.83 -> [1562] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.83
% 293.42/42.83 [1562] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.83 -> [1564] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.83 -> [1565] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.83
% 293.42/42.83 [1564] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.83
% 293.42/42.83 [1565] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.83 -> [4269] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.83 -> [4270] distinct_points(skolem_A8080, skolem_B8181)
% 293.42/42.83
% 293.42/42.83 [4269] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.83
% 293.42/42.83 [4270] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.83 -> [4655] ~distinct_lines(L25_119_3, L25_119_3)
% 293.42/42.83
% 293.42/42.83 [4655] 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))))
% 293.42/42.83 -> [4698] (distinct_lines(L25_119_3, L25_119_3) => (distinct_lines(L25_119_3, L25_119_3) | distinct_lines(L25_119_3, L25_119_3)))
% 293.42/42.83
% 293.42/42.83 [4698] BETA_IMPLY : (distinct_lines(L25_119_3, L25_119_3) => (distinct_lines(L25_119_3, L25_119_3) | distinct_lines(L25_119_3, L25_119_3)))
% 293.42/42.83 -> [4699] ~distinct_lines(L25_119_3, L25_119_3)
% 293.42/42.83 -> [4700] (distinct_lines(L25_119_3, L25_119_3) | distinct_lines(L25_119_3, L25_119_3))
% 293.42/42.83
% 293.42/42.83 [4700] BETA_OR : (distinct_lines(L25_119_3, L25_119_3) | distinct_lines(L25_119_3, L25_119_3))
% 293.42/42.83 -> [4701] distinct_lines(L25_119_3, L25_119_3)
% 293.42/42.83 -> [4702] distinct_lines(L25_119_3, L25_119_3)
% 293.42/42.83
% 293.42/42.83 [4702] CLOSURE : distinct_lines(L25_119_3, L25_119_3)
% 293.42/42.83
% 293.42/42.83 [4701] CLOSURE : distinct_lines(L25_119_3, L25_119_3)
% 293.42/42.83
% 293.42/42.83 [4699] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.83 -> [4720] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.83
% 293.42/42.83 [4720] 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))))
% 293.42/42.83 -> [5063] (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))))
% 293.42/42.83
% 293.42/42.83 [5063] 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))))
% 293.42/42.83 -> [5067] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.83 -> [5068] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.83
% 293.42/42.83 [5067] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.83
% 293.42/42.83 [5068] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.83 -> [7597] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.83 -> [7598] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.83
% 293.42/42.83 [7598] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.83
% 293.42/42.83 [7597] 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))))))
% 293.42/42.83 -> [12929] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_189_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_189_6))) | (unequally_directed_lines(skolem_N7979, N34_189_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_189_6)))))
% 293.42/42.83
% 293.42/42.83 [12929] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_189_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_189_6))) | (unequally_directed_lines(skolem_N7979, N34_189_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_189_6)))))
% 293.42/42.83 -> [12931] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.83 -> [12932] ((unequally_directed_lines(skolem_M7878, N34_189_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_189_6))) | (unequally_directed_lines(skolem_N7979, N34_189_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_189_6))))
% 293.42/42.83
% 293.42/42.83 [12931] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.83 -> [12945] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.83 -> [12946] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.83
% 293.42/42.83 [12946] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.83
% 293.42/42.83 [12945] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.83
% 293.42/42.83 [12932] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_189_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_189_6))) | (unequally_directed_lines(skolem_N7979, N34_189_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_189_6))))
% 293.42/42.83 -> [15635] (unequally_directed_lines(skolem_M7878, N34_189_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_189_6)))
% 293.42/42.83 -> [15636] (unequally_directed_lines(skolem_N7979, N34_189_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_189_6)))
% 293.42/42.83
% 293.42/42.83 [15636] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_189_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_189_6)))
% 293.42/42.83 -> [15637] unequally_directed_lines(skolem_N7979, N34_189_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_189_6))
% 293.42/42.83
% 293.42/42.83 [15637] 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)))))
% 293.42/42.83 -> [15662] ((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)))))
% 293.42/42.83
% 293.42/42.83 [15662] 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)))))
% 293.42/42.83 -> [15665] ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.83 -> [15666] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))
% 293.42/42.83
% 293.42/42.83 [15665] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.83 -> [15687] ~line(skolem_L7777)
% 293.42/42.83 -> [15688] ~line(line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.83
% 293.42/42.83 [15687] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.83 -> [15757] ((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))))
% 293.42/42.83
% 293.42/42.83 [15757] 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))))
% 293.42/42.83 -> [15758] ~(unequally_directed_lines(skolem_N7979, M38_472_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_472_8)))
% 293.42/42.83 -> [15759] (left_convergent_lines(skolem_N7979, M38_472_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_472_8)))
% 293.42/42.83
% 293.42/42.83 [15758] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_472_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_472_8)))
% 293.42/42.83 -> [15807] ~unequally_directed_lines(skolem_N7979, M38_472_8)
% 293.42/42.83 -> [15808] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_472_8))
% 293.42/42.83
% 293.42/42.83 [15808] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_472_8))
% 293.42/42.83
% 293.42/42.83 [15807] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_472_8)
% 293.42/42.83
% 293.42/42.83 [15759] BETA_OR : (left_convergent_lines(skolem_N7979, M38_472_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_472_8)))
% 293.42/42.83 -> [15761] left_convergent_lines(skolem_N7979, M38_472_8)
% 293.42/42.83 -> [15762] left_convergent_lines(skolem_N7979, reverse_line(M38_472_8))
% 293.42/42.83
% 293.42/42.83 [15762] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [15895] ~(left_apart_point(A39_922_9, L40_922_9) | left_apart_point(A39_922_9, reverse_line(L40_922_9)))
% 293.42/42.83
% 293.42/42.83 [15895] ALPHA_NOT_OR : ~(left_apart_point(A39_922_9, L40_922_9) | left_apart_point(A39_922_9, reverse_line(L40_922_9)))
% 293.42/42.83 -> [15896] ~left_apart_point(A39_922_9, L40_922_9), ~left_apart_point(A39_922_9, reverse_line(L40_922_9))
% 293.42/42.83
% 293.42/42.83 [15896] CLOSURE : ~left_apart_point(A39_922_9, L40_922_9)
% 293.42/42.83
% 293.42/42.83 [15761] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [15931] ~(left_apart_point(A39_926_9, L40_926_9) | left_apart_point(A39_926_9, reverse_line(L40_926_9)))
% 293.42/42.83
% 293.42/42.83 [15931] ALPHA_NOT_OR : ~(left_apart_point(A39_926_9, L40_926_9) | left_apart_point(A39_926_9, reverse_line(L40_926_9)))
% 293.42/42.83 -> [15932] ~left_apart_point(A39_926_9, L40_926_9), ~left_apart_point(A39_926_9, reverse_line(L40_926_9))
% 293.42/42.83
% 293.42/42.83 [15932] CLOSURE : ~left_apart_point(A39_926_9, L40_926_9)
% 293.42/42.83
% 293.42/42.83 [15688] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.83 -> [15728] ((unequally_directed_lines(skolem_N7979, M38_470_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_470_8))) => (left_convergent_lines(skolem_N7979, M38_470_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_470_8))))
% 293.42/42.83
% 293.42/42.83 [15728] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_470_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_470_8))) => (left_convergent_lines(skolem_N7979, M38_470_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_470_8))))
% 293.42/42.83 -> [15730] ~(unequally_directed_lines(skolem_N7979, M38_470_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_470_8)))
% 293.42/42.83 -> [15731] (left_convergent_lines(skolem_N7979, M38_470_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_470_8)))
% 293.42/42.83
% 293.42/42.83 [15730] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_470_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_470_8)))
% 293.42/42.83 -> [15769] ~unequally_directed_lines(skolem_N7979, M38_470_8)
% 293.42/42.83 -> [15770] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_470_8))
% 293.42/42.83
% 293.42/42.83 [15770] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_470_8))
% 293.42/42.83
% 293.42/42.83 [15769] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_470_8)
% 293.42/42.83
% 293.42/42.83 [15731] BETA_OR : (left_convergent_lines(skolem_N7979, M38_470_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_470_8)))
% 293.42/42.83 -> [15735] left_convergent_lines(skolem_N7979, M38_470_8)
% 293.42/42.83 -> [15736] left_convergent_lines(skolem_N7979, reverse_line(M38_470_8))
% 293.42/42.83
% 293.42/42.83 [15736] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [15877] ~(left_apart_point(A39_918_9, L40_918_9) | left_apart_point(A39_918_9, reverse_line(L40_918_9)))
% 293.42/42.83
% 293.42/42.83 [15877] ALPHA_NOT_OR : ~(left_apart_point(A39_918_9, L40_918_9) | left_apart_point(A39_918_9, reverse_line(L40_918_9)))
% 293.42/42.83 -> [15880] ~left_apart_point(A39_918_9, L40_918_9), ~left_apart_point(A39_918_9, reverse_line(L40_918_9))
% 293.42/42.83
% 293.42/42.83 [15880] CLOSURE : ~left_apart_point(A39_918_9, L40_918_9)
% 293.42/42.83
% 293.42/42.83 [15735] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [15898] ~(left_apart_point(A39_923_9, L40_923_9) | left_apart_point(A39_923_9, reverse_line(L40_923_9)))
% 293.42/42.83
% 293.42/42.83 [15898] ALPHA_NOT_OR : ~(left_apart_point(A39_923_9, L40_923_9) | left_apart_point(A39_923_9, reverse_line(L40_923_9)))
% 293.42/42.83 -> [15901] ~left_apart_point(A39_923_9, L40_923_9), ~left_apart_point(A39_923_9, reverse_line(L40_923_9))
% 293.42/42.83
% 293.42/42.83 [15901] CLOSURE : ~left_apart_point(A39_923_9, L40_923_9)
% 293.42/42.83
% 293.42/42.83 [15666] 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))))
% 293.42/42.83 -> [15669] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.83 -> [15670] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.83
% 293.42/42.83 [15669] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.83
% 293.42/42.83 [15670] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.83 -> [18953] ((unequally_directed_lines(skolem_N7979, M38_673_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_673_8))) => (left_convergent_lines(skolem_N7979, M38_673_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_673_8))))
% 293.42/42.83
% 293.42/42.83 [18953] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_673_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_673_8))) => (left_convergent_lines(skolem_N7979, M38_673_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_673_8))))
% 293.42/42.83 -> [18960] ~(unequally_directed_lines(skolem_N7979, M38_673_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_673_8)))
% 293.42/42.83 -> [18961] (left_convergent_lines(skolem_N7979, M38_673_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_673_8)))
% 293.42/42.83
% 293.42/42.83 [18960] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_673_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_673_8)))
% 293.42/42.83 -> [19043] ~unequally_directed_lines(skolem_N7979, M38_673_8)
% 293.42/42.83 -> [19044] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_673_8))
% 293.42/42.83
% 293.42/42.83 [19044] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_673_8))
% 293.42/42.83
% 293.42/42.83 [19043] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_673_8)
% 293.42/42.83
% 293.42/42.83 [18961] BETA_OR : (left_convergent_lines(skolem_N7979, M38_673_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_673_8)))
% 293.42/42.83 -> [18966] left_convergent_lines(skolem_N7979, M38_673_8)
% 293.42/42.83 -> [18967] left_convergent_lines(skolem_N7979, reverse_line(M38_673_8))
% 293.42/42.83
% 293.42/42.83 [18967] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [19207] ~(left_apart_point(A39_1311_9, L40_1311_9) | left_apart_point(A39_1311_9, reverse_line(L40_1311_9)))
% 293.42/42.83
% 293.42/42.83 [19207] ALPHA_NOT_OR : ~(left_apart_point(A39_1311_9, L40_1311_9) | left_apart_point(A39_1311_9, reverse_line(L40_1311_9)))
% 293.42/42.83 -> [19208] ~left_apart_point(A39_1311_9, L40_1311_9), ~left_apart_point(A39_1311_9, reverse_line(L40_1311_9))
% 293.42/42.83
% 293.42/42.83 [19208] CLOSURE : ~left_apart_point(A39_1311_9, L40_1311_9)
% 293.42/42.83
% 293.42/42.83 [18966] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [19252] ~(left_apart_point(A39_1320_9, L40_1320_9) | left_apart_point(A39_1320_9, reverse_line(L40_1320_9)))
% 293.42/42.83
% 293.42/42.83 [19252] ALPHA_NOT_OR : ~(left_apart_point(A39_1320_9, L40_1320_9) | left_apart_point(A39_1320_9, reverse_line(L40_1320_9)))
% 293.42/42.83 -> [19253] ~left_apart_point(A39_1320_9, L40_1320_9), ~left_apart_point(A39_1320_9, reverse_line(L40_1320_9))
% 293.42/42.83
% 293.42/42.83 [19253] CLOSURE : ~left_apart_point(A39_1320_9, L40_1320_9)
% 293.42/42.83
% 293.42/42.83 [15635] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_189_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_189_6)))
% 293.42/42.83 -> [15642] unequally_directed_lines(skolem_M7878, N34_189_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_189_6))
% 293.42/42.83
% 293.42/42.83 [15642] 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)))))
% 293.42/42.83 -> [15674] ((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))))
% 293.42/42.83
% 293.42/42.83 [15674] 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))))
% 293.42/42.83 -> [15675] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.83 -> [15676] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.83
% 293.42/42.83 [15675] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.83 -> [15699] ~line(reverse_line(skolem_N7979))
% 293.42/42.83 -> [15700] ~line(skolem_N7979)
% 293.42/42.83
% 293.42/42.83 [15699] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.83 -> [15773] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.83
% 293.42/42.83 [15773] 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))))
% 293.42/42.83 -> [15775] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [15776] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83
% 293.42/42.83 [15776] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.83 -> [15781] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.83 -> [15782] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.83
% 293.42/42.83 [15782] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.83 -> [15914] ~(left_apart_point(A39_924_9, L40_924_9) | left_apart_point(A39_924_9, reverse_line(L40_924_9)))
% 293.42/42.83
% 293.42/42.83 [15914] ALPHA_NOT_OR : ~(left_apart_point(A39_924_9, L40_924_9) | left_apart_point(A39_924_9, reverse_line(L40_924_9)))
% 293.42/42.83 -> [15917] ~left_apart_point(A39_924_9, L40_924_9), ~left_apart_point(A39_924_9, reverse_line(L40_924_9))
% 293.42/42.83
% 293.42/42.83 [15917] CLOSURE : ~left_apart_point(A39_924_9, L40_924_9)
% 293.42/42.84
% 293.42/42.84 [15781] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [15945] ~(left_apart_point(A39_928_9, L40_928_9) | left_apart_point(A39_928_9, reverse_line(L40_928_9)))
% 293.42/42.84
% 293.42/42.84 [15945] ALPHA_NOT_OR : ~(left_apart_point(A39_928_9, L40_928_9) | left_apart_point(A39_928_9, reverse_line(L40_928_9)))
% 293.42/42.84 -> [15946] ~left_apart_point(A39_928_9, L40_928_9), ~left_apart_point(A39_928_9, reverse_line(L40_928_9))
% 293.42/42.84
% 293.42/42.84 [15946] CLOSURE : ~left_apart_point(A39_928_9, L40_928_9)
% 293.42/42.84
% 293.42/42.84 [15775] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [15829] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.84 -> [15830] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [15829] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [15830] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [15700] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [15750] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.84
% 293.42/42.84 [15750] 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))))
% 293.42/42.84 -> [15751] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [15752] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.84
% 293.42/42.84 [15751] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [15786] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.84 -> [15787] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [15787] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [15786] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [15752] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [15755] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.84 -> [15756] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [15756] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [15891] ~(left_apart_point(A39_920_9, L40_920_9) | left_apart_point(A39_920_9, reverse_line(L40_920_9)))
% 293.42/42.84
% 293.42/42.84 [15891] ALPHA_NOT_OR : ~(left_apart_point(A39_920_9, L40_920_9) | left_apart_point(A39_920_9, reverse_line(L40_920_9)))
% 293.42/42.84 -> [15892] ~left_apart_point(A39_920_9, L40_920_9), ~left_apart_point(A39_920_9, reverse_line(L40_920_9))
% 293.42/42.84
% 293.42/42.84 [15892] CLOSURE : ~left_apart_point(A39_920_9, L40_920_9)
% 293.42/42.84
% 293.42/42.84 [15755] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [15922] ~(left_apart_point(A39_925_9, L40_925_9) | left_apart_point(A39_925_9, reverse_line(L40_925_9)))
% 293.42/42.84
% 293.42/42.84 [15922] ALPHA_NOT_OR : ~(left_apart_point(A39_925_9, L40_925_9) | left_apart_point(A39_925_9, reverse_line(L40_925_9)))
% 293.42/42.84 -> [15927] ~left_apart_point(A39_925_9, L40_925_9), ~left_apart_point(A39_925_9, reverse_line(L40_925_9))
% 293.42/42.84
% 293.42/42.84 [15927] CLOSURE : ~left_apart_point(A39_925_9, L40_925_9)
% 293.42/42.84
% 293.42/42.84 [15676] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.84 -> [15679] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 293.42/42.84 -> [15680] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [15680] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [15679] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [19991] ((unequally_directed_lines(skolem_M7878, M38_741_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_741_8))) => (left_convergent_lines(skolem_M7878, M38_741_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_741_8))))
% 293.42/42.84
% 293.42/42.84 [19991] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_741_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_741_8))) => (left_convergent_lines(skolem_M7878, M38_741_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_741_8))))
% 293.42/42.84 -> [19994] ~(unequally_directed_lines(skolem_M7878, M38_741_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_741_8)))
% 293.42/42.84 -> [19995] (left_convergent_lines(skolem_M7878, M38_741_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_741_8)))
% 293.42/42.84
% 293.42/42.84 [19994] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_741_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_741_8)))
% 293.42/42.84 -> [20008] ~unequally_directed_lines(skolem_M7878, M38_741_8)
% 293.42/42.84 -> [20009] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_741_8))
% 293.42/42.84
% 293.42/42.84 [20009] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_741_8))
% 293.42/42.84
% 293.42/42.84 [20008] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_741_8)
% 293.42/42.84
% 293.42/42.84 [19995] BETA_OR : (left_convergent_lines(skolem_M7878, M38_741_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_741_8)))
% 293.42/42.84 -> [21499] left_convergent_lines(skolem_M7878, M38_741_8)
% 293.42/42.84 -> [21500] left_convergent_lines(skolem_M7878, reverse_line(M38_741_8))
% 293.42/42.84
% 293.42/42.84 [21500] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [21659] ~(left_apart_point(A39_1616_9, L40_1616_9) | left_apart_point(A39_1616_9, reverse_line(L40_1616_9)))
% 293.42/42.84
% 293.42/42.84 [21659] ALPHA_NOT_OR : ~(left_apart_point(A39_1616_9, L40_1616_9) | left_apart_point(A39_1616_9, reverse_line(L40_1616_9)))
% 293.42/42.84 -> [21662] ~left_apart_point(A39_1616_9, L40_1616_9), ~left_apart_point(A39_1616_9, reverse_line(L40_1616_9))
% 293.42/42.84
% 293.42/42.84 [21662] CLOSURE : ~left_apart_point(A39_1616_9, L40_1616_9)
% 293.42/42.84
% 293.42/42.84 [21499] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [21696] ~(left_apart_point(A39_1626_9, L40_1626_9) | left_apart_point(A39_1626_9, reverse_line(L40_1626_9)))
% 293.42/42.84
% 293.42/42.84 [21696] ALPHA_NOT_OR : ~(left_apart_point(A39_1626_9, L40_1626_9) | left_apart_point(A39_1626_9, reverse_line(L40_1626_9)))
% 293.42/42.84 -> [21699] ~left_apart_point(A39_1626_9, L40_1626_9), ~left_apart_point(A39_1626_9, reverse_line(L40_1626_9))
% 293.42/42.84
% 293.42/42.84 [21699] CLOSURE : ~left_apart_point(A39_1626_9, L40_1626_9)
% 293.42/42.84
% 293.42/42.84 [280] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.84 -> [382] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.42/42.84 -> [383] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [382] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.84 -> [530] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.84
% 293.42/42.84 [530] 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))))
% 293.42/42.84 -> [886] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.84
% 293.42/42.84 [886] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.84 -> [887] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.84 -> [888] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.84
% 293.42/42.84 [887] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.84
% 293.42/42.84 [888] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.84 -> [4266] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.84 -> [4267] distinct_points(skolem_A8080, skolem_B8181)
% 293.42/42.84
% 293.42/42.84 [4266] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.84
% 293.42/42.84 [4267] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.84 -> [4289] ~distinct_lines(N27_101_3, N27_101_3)
% 293.42/42.84
% 293.42/42.84 [4289] 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))))
% 293.42/42.84 -> [4294] (distinct_lines(N27_101_3, N27_101_3) => (distinct_lines(N27_101_3, N27_101_3) | distinct_lines(N27_101_3, N27_101_3)))
% 293.42/42.84
% 293.42/42.84 [4294] 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)))
% 293.42/42.84 -> [4297] ~distinct_lines(N27_101_3, N27_101_3)
% 293.42/42.84 -> [4298] (distinct_lines(N27_101_3, N27_101_3) | distinct_lines(N27_101_3, N27_101_3))
% 293.42/42.84
% 293.42/42.84 [4298] BETA_OR : (distinct_lines(N27_101_3, N27_101_3) | distinct_lines(N27_101_3, N27_101_3))
% 293.42/42.84 -> [4301] distinct_lines(N27_101_3, N27_101_3)
% 293.42/42.84 -> [4302] distinct_lines(N27_101_3, N27_101_3)
% 293.42/42.84
% 293.42/42.84 [4301] CLOSURE : distinct_lines(N27_101_3, N27_101_3)
% 293.42/42.84
% 293.42/42.84 [4302] CLOSURE : distinct_lines(N27_101_3, N27_101_3)
% 293.42/42.84
% 293.42/42.84 [4297] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.84 -> [4312] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [4312] 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))))
% 293.42/42.84 -> [4343] (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)))
% 293.42/42.84
% 293.42/42.84 [4343] 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)))
% 293.42/42.84 -> [4344] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84 -> [4345] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [4344] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [4345] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.84 -> [4590] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84 -> [4591] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [4590] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [4591] 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))))))
% 293.42/42.84 -> [4898] ((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)))))
% 293.42/42.84
% 293.42/42.84 [4898] 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)))))
% 293.42/42.84 -> [4899] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.84 -> [4900] ((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))))
% 293.42/42.84
% 293.42/42.84 [4899] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.84 -> [4921] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.84 -> [4922] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [4922] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [4921] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.84
% 293.42/42.84 [4900] 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))))
% 293.42/42.84 -> [7053] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [7054] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.84
% 293.42/42.84 [7053] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [7071] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [7071] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [7054] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [7055] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [7055] 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)))))
% 293.42/42.84 -> [7235] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.84
% 293.42/42.84 [7235] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.84 -> [7236] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.84 -> [7237] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84
% 293.42/42.84 [7237] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [7240] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84 -> [7241] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [7240] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [7241] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [7412] ((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))))
% 293.42/42.84
% 293.42/42.84 [7412] 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))))
% 293.42/42.84 -> [7415] ~(unequally_directed_lines(skolem_N7979, M38_58_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_58_8)))
% 293.42/42.84 -> [7416] (left_convergent_lines(skolem_N7979, M38_58_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_58_8)))
% 293.42/42.84
% 293.42/42.84 [7416] BETA_OR : (left_convergent_lines(skolem_N7979, M38_58_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_58_8)))
% 293.42/42.84 -> [7423] left_convergent_lines(skolem_N7979, M38_58_8)
% 293.42/42.84 -> [7424] left_convergent_lines(skolem_N7979, reverse_line(M38_58_8))
% 293.42/42.84
% 293.42/42.84 [7424] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [7585] ~(left_apart_point(A39_113_9, L40_113_9) | left_apart_point(A39_113_9, reverse_line(L40_113_9)))
% 293.42/42.84
% 293.42/42.84 [7585] ALPHA_NOT_OR : ~(left_apart_point(A39_113_9, L40_113_9) | left_apart_point(A39_113_9, reverse_line(L40_113_9)))
% 293.42/42.84 -> [7588] ~left_apart_point(A39_113_9, L40_113_9), ~left_apart_point(A39_113_9, reverse_line(L40_113_9))
% 293.42/42.84
% 293.42/42.84 [7588] CLOSURE : ~left_apart_point(A39_113_9, L40_113_9)
% 293.42/42.84
% 293.42/42.84 [7423] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [7635] ~(left_apart_point(A39_115_9, L40_115_9) | left_apart_point(A39_115_9, reverse_line(L40_115_9)))
% 293.42/42.84
% 293.42/42.84 [7635] ALPHA_NOT_OR : ~(left_apart_point(A39_115_9, L40_115_9) | left_apart_point(A39_115_9, reverse_line(L40_115_9)))
% 293.42/42.84 -> [7637] ~left_apart_point(A39_115_9, L40_115_9), ~left_apart_point(A39_115_9, reverse_line(L40_115_9))
% 293.42/42.84
% 293.42/42.84 [7637] CLOSURE : ~left_apart_point(A39_115_9, L40_115_9)
% 293.42/42.84
% 293.42/42.84 [7415] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_58_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_58_8)))
% 293.42/42.84 -> [7475] ~unequally_directed_lines(skolem_N7979, M38_58_8)
% 293.42/42.84 -> [7476] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_58_8))
% 293.42/42.84
% 293.42/42.84 [7476] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_58_8))
% 293.42/42.84
% 293.42/42.84 [7475] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_58_8)
% 293.42/42.84
% 293.42/42.84 [7236] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.84 -> [7254] ~line(skolem_M7878)
% 293.42/42.84 -> [7255] ~line(skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [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)))))
% 293.42/42.84 -> [7451] ((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))))
% 293.42/42.84
% 293.42/42.84 [7451] 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))))
% 293.42/42.84 -> [7456] ~(unequally_directed_lines(skolem_N7979, M38_60_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_60_8)))
% 293.42/42.84 -> [7457] (left_convergent_lines(skolem_N7979, M38_60_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_60_8)))
% 293.42/42.84
% 293.42/42.84 [7456] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_60_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_60_8)))
% 293.42/42.84 -> [7521] ~unequally_directed_lines(skolem_N7979, M38_60_8)
% 293.42/42.84 -> [7522] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_60_8))
% 293.42/42.84
% 293.42/42.84 [7522] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_60_8))
% 293.42/42.84
% 293.42/42.84 [7521] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_60_8)
% 293.42/42.84
% 293.42/42.84 [7457] BETA_OR : (left_convergent_lines(skolem_N7979, M38_60_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_60_8)))
% 293.42/42.84 -> [7465] left_convergent_lines(skolem_N7979, M38_60_8)
% 293.42/42.84 -> [7466] left_convergent_lines(skolem_N7979, reverse_line(M38_60_8))
% 293.42/42.84
% 293.42/42.84 [7466] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [7691] ~(left_apart_point(A39_117_9, L40_117_9) | left_apart_point(A39_117_9, reverse_line(L40_117_9)))
% 293.42/42.84
% 293.42/42.84 [7691] ALPHA_NOT_OR : ~(left_apart_point(A39_117_9, L40_117_9) | left_apart_point(A39_117_9, reverse_line(L40_117_9)))
% 293.42/42.84 -> [7694] ~left_apart_point(A39_117_9, L40_117_9), ~left_apart_point(A39_117_9, reverse_line(L40_117_9))
% 293.42/42.84
% 293.42/42.84 [7694] CLOSURE : ~left_apart_point(A39_117_9, L40_117_9)
% 293.42/42.84
% 293.42/42.84 [7465] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [7684] ~(left_apart_point(A39_116_9, L40_116_9) | left_apart_point(A39_116_9, reverse_line(L40_116_9)))
% 293.42/42.84
% 293.42/42.84 [7684] ALPHA_NOT_OR : ~(left_apart_point(A39_116_9, L40_116_9) | left_apart_point(A39_116_9, reverse_line(L40_116_9)))
% 293.42/42.84 -> [7688] ~left_apart_point(A39_116_9, L40_116_9), ~left_apart_point(A39_116_9, reverse_line(L40_116_9))
% 293.42/42.84
% 293.42/42.84 [7688] CLOSURE : ~left_apart_point(A39_116_9, L40_116_9)
% 293.42/42.84
% 293.42/42.84 [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)))))
% 293.42/42.84 -> [7442] ((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))))
% 293.42/42.84
% 293.42/42.84 [7442] 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))))
% 293.42/42.84 -> [7443] ~(unequally_directed_lines(skolem_N7979, M38_59_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_59_8)))
% 293.42/42.84 -> [7444] (left_convergent_lines(skolem_N7979, M38_59_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_59_8)))
% 293.42/42.84
% 293.42/42.84 [7443] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_59_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_59_8)))
% 293.42/42.84 -> [7511] ~unequally_directed_lines(skolem_N7979, M38_59_8)
% 293.42/42.84 -> [7512] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_59_8))
% 293.42/42.84
% 293.42/42.84 [7512] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_59_8))
% 293.42/42.84
% 293.42/42.84 [7511] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_59_8)
% 293.42/42.84
% 293.42/42.84 [7444] BETA_OR : (left_convergent_lines(skolem_N7979, M38_59_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_59_8)))
% 293.42/42.84 -> [7445] left_convergent_lines(skolem_N7979, M38_59_8)
% 293.42/42.84 -> [7446] left_convergent_lines(skolem_N7979, reverse_line(M38_59_8))
% 293.42/42.84
% 293.42/42.84 [7446] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [7609] ~(left_apart_point(A39_114_9, L40_114_9) | left_apart_point(A39_114_9, reverse_line(L40_114_9)))
% 293.42/42.84
% 293.42/42.84 [7609] ALPHA_NOT_OR : ~(left_apart_point(A39_114_9, L40_114_9) | left_apart_point(A39_114_9, reverse_line(L40_114_9)))
% 293.42/42.84 -> [7611] ~left_apart_point(A39_114_9, L40_114_9), ~left_apart_point(A39_114_9, reverse_line(L40_114_9))
% 293.42/42.84
% 293.42/42.84 [7611] CLOSURE : ~left_apart_point(A39_114_9, L40_114_9)
% 293.42/42.84
% 293.42/42.84 [7445] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [7802] ~(left_apart_point(A39_122_9, L40_122_9) | left_apart_point(A39_122_9, reverse_line(L40_122_9)))
% 293.42/42.84
% 293.42/42.84 [7802] ALPHA_NOT_OR : ~(left_apart_point(A39_122_9, L40_122_9) | left_apart_point(A39_122_9, reverse_line(L40_122_9)))
% 293.42/42.84 -> [7803] ~left_apart_point(A39_122_9, L40_122_9), ~left_apart_point(A39_122_9, reverse_line(L40_122_9))
% 293.42/42.84
% 293.42/42.84 [7803] CLOSURE : ~left_apart_point(A39_122_9, L40_122_9)
% 293.42/42.84
% 293.42/42.84 [383] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.84 -> [403] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.84
% 293.42/42.84 [403] 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))))
% 293.42/42.84 -> [500] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.84
% 293.42/42.84 [500] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.84 -> [504] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.84 -> [505] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.84
% 293.42/42.84 [504] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.84
% 293.42/42.84 [505] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.84 -> [4250] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.84 -> [4251] distinct_points(skolem_A8080, skolem_B8181)
% 293.42/42.84
% 293.42/42.84 [4250] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.84
% 293.42/42.84 [4251] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.84 -> [4741] ~distinct_lines(M26_123_3, M26_123_3)
% 293.42/42.84
% 293.42/42.84 [4741] 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))))
% 293.42/42.84 -> [4769] (distinct_lines(M26_123_3, M26_123_3) => (distinct_lines(M26_123_3, M26_123_3) | distinct_lines(M26_123_3, M26_123_3)))
% 293.42/42.84
% 293.42/42.84 [4769] BETA_IMPLY : (distinct_lines(M26_123_3, M26_123_3) => (distinct_lines(M26_123_3, M26_123_3) | distinct_lines(M26_123_3, M26_123_3)))
% 293.42/42.84 -> [4770] ~distinct_lines(M26_123_3, M26_123_3)
% 293.42/42.84 -> [4771] (distinct_lines(M26_123_3, M26_123_3) | distinct_lines(M26_123_3, M26_123_3))
% 293.42/42.84
% 293.42/42.84 [4771] BETA_OR : (distinct_lines(M26_123_3, M26_123_3) | distinct_lines(M26_123_3, M26_123_3))
% 293.42/42.84 -> [4772] distinct_lines(M26_123_3, M26_123_3)
% 293.42/42.84 -> [4773] distinct_lines(M26_123_3, M26_123_3)
% 293.42/42.84
% 293.42/42.84 [4772] CLOSURE : distinct_lines(M26_123_3, M26_123_3)
% 293.42/42.84
% 293.42/42.84 [4773] CLOSURE : distinct_lines(M26_123_3, M26_123_3)
% 293.42/42.84
% 293.42/42.84 [4770] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.84 -> [4831] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [4831] 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))))
% 293.42/42.84 -> [4996] (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))))
% 293.42/42.84
% 293.42/42.84 [4996] 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))))
% 293.42/42.84 -> [4997] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84 -> [4998] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.84
% 293.42/42.84 [4997] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [4998] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.84 -> [8021] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84 -> [8022] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [8022] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [8021] 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))))))
% 293.42/42.84 -> [9367] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_100_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_100_6))) | (unequally_directed_lines(skolem_N7979, N34_100_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_100_6)))))
% 293.42/42.84
% 293.42/42.84 [9367] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_100_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_100_6))) | (unequally_directed_lines(skolem_N7979, N34_100_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_100_6)))))
% 293.42/42.84 -> [9372] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.84 -> [9373] ((unequally_directed_lines(skolem_M7878, N34_100_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_100_6))) | (unequally_directed_lines(skolem_N7979, N34_100_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_100_6))))
% 293.42/42.84
% 293.42/42.84 [9372] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.84 -> [9387] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.84 -> [9388] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [9388] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [9387] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.84
% 293.42/42.84 [9373] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_100_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_100_6))) | (unequally_directed_lines(skolem_N7979, N34_100_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_100_6))))
% 293.42/42.84 -> [18815] (unequally_directed_lines(skolem_M7878, N34_100_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_100_6)))
% 293.42/42.84 -> [18816] (unequally_directed_lines(skolem_N7979, N34_100_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_100_6)))
% 293.42/42.84
% 293.42/42.84 [18815] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_100_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_100_6)))
% 293.42/42.84 -> [18839] unequally_directed_lines(skolem_M7878, N34_100_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_100_6))
% 293.42/42.84
% 293.42/42.84 [18839] 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)))))
% 293.42/42.84 -> [19041] ((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)))))
% 293.42/42.84
% 293.42/42.84 [19041] 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)))))
% 293.42/42.84 -> [19046] ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.84 -> [19047] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 293.42/42.84
% 293.42/42.84 [19046] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.84 -> [19076] ~line(reverse_line(skolem_N7979))
% 293.42/42.84 -> [19077] ~line(reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [19077] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [19161] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.84
% 293.42/42.84 [19161] 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))))
% 293.42/42.84 -> [19164] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [19165] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.84
% 293.42/42.84 [19164] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [19203] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.84 -> [19204] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [19204] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [19203] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [19165] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [19169] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.84 -> [19170] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [19170] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [19405] ~(left_apart_point(A39_1339_9, L40_1339_9) | left_apart_point(A39_1339_9, reverse_line(L40_1339_9)))
% 293.42/42.84
% 293.42/42.84 [19405] ALPHA_NOT_OR : ~(left_apart_point(A39_1339_9, L40_1339_9) | left_apart_point(A39_1339_9, reverse_line(L40_1339_9)))
% 293.42/42.84 -> [19406] ~left_apart_point(A39_1339_9, L40_1339_9), ~left_apart_point(A39_1339_9, reverse_line(L40_1339_9))
% 293.42/42.84
% 293.42/42.84 [19406] CLOSURE : ~left_apart_point(A39_1339_9, L40_1339_9)
% 293.42/42.84
% 293.42/42.84 [19169] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [19475] ~(left_apart_point(A39_1349_9, L40_1349_9) | left_apart_point(A39_1349_9, reverse_line(L40_1349_9)))
% 293.42/42.84
% 293.42/42.84 [19475] ALPHA_NOT_OR : ~(left_apart_point(A39_1349_9, L40_1349_9) | left_apart_point(A39_1349_9, reverse_line(L40_1349_9)))
% 293.42/42.84 -> [19476] ~left_apart_point(A39_1349_9, L40_1349_9), ~left_apart_point(A39_1349_9, reverse_line(L40_1349_9))
% 293.42/42.84
% 293.42/42.84 [19476] CLOSURE : ~left_apart_point(A39_1349_9, L40_1349_9)
% 293.42/42.84
% 293.42/42.84 [19076] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [19192] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.84
% 293.42/42.84 [19192] 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))))
% 293.42/42.84 -> [19195] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [19196] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.84
% 293.42/42.84 [19195] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [19255] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.84 -> [19256] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [19255] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [19256] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [19196] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [19199] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.84 -> [19200] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [19200] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [19459] ~(left_apart_point(A39_1347_9, L40_1347_9) | left_apart_point(A39_1347_9, reverse_line(L40_1347_9)))
% 293.42/42.84
% 293.42/42.84 [19459] ALPHA_NOT_OR : ~(left_apart_point(A39_1347_9, L40_1347_9) | left_apart_point(A39_1347_9, reverse_line(L40_1347_9)))
% 293.42/42.84 -> [19462] ~left_apart_point(A39_1347_9, L40_1347_9), ~left_apart_point(A39_1347_9, reverse_line(L40_1347_9))
% 293.42/42.84
% 293.42/42.84 [19462] CLOSURE : ~left_apart_point(A39_1347_9, L40_1347_9)
% 293.42/42.84
% 293.42/42.84 [19199] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [19543] ~(left_apart_point(A39_1362_9, L40_1362_9) | left_apart_point(A39_1362_9, reverse_line(L40_1362_9)))
% 293.42/42.84
% 293.42/42.84 [19543] ALPHA_NOT_OR : ~(left_apart_point(A39_1362_9, L40_1362_9) | left_apart_point(A39_1362_9, reverse_line(L40_1362_9)))
% 293.42/42.84 -> [19546] ~left_apart_point(A39_1362_9, L40_1362_9), ~left_apart_point(A39_1362_9, reverse_line(L40_1362_9))
% 293.42/42.84
% 293.42/42.84 [19546] CLOSURE : ~left_apart_point(A39_1362_9, L40_1362_9)
% 293.42/42.84
% 293.42/42.84 [19047] 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))))
% 293.42/42.84 -> [19053] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.84 -> [19054] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 293.42/42.84
% 293.42/42.84 [19053] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [19054] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [21163] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.84
% 293.42/42.84 [21163] 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))))
% 293.42/42.84 -> [21166] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [21167] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.84
% 293.42/42.84 [21166] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [21178] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.84 -> [21179] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [21179] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [21178] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [21167] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [21174] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.84 -> [21175] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [21175] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [21599] ~(left_apart_point(A39_1608_9, L40_1608_9) | left_apart_point(A39_1608_9, reverse_line(L40_1608_9)))
% 293.42/42.84
% 293.42/42.84 [21599] ALPHA_NOT_OR : ~(left_apart_point(A39_1608_9, L40_1608_9) | left_apart_point(A39_1608_9, reverse_line(L40_1608_9)))
% 293.42/42.84 -> [21600] ~left_apart_point(A39_1608_9, L40_1608_9), ~left_apart_point(A39_1608_9, reverse_line(L40_1608_9))
% 293.42/42.84
% 293.42/42.84 [21600] CLOSURE : ~left_apart_point(A39_1608_9, L40_1608_9)
% 293.42/42.84
% 293.42/42.84 [21174] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [21614] ~(left_apart_point(A39_1610_9, L40_1610_9) | left_apart_point(A39_1610_9, reverse_line(L40_1610_9)))
% 293.42/42.84
% 293.42/42.84 [21614] ALPHA_NOT_OR : ~(left_apart_point(A39_1610_9, L40_1610_9) | left_apart_point(A39_1610_9, reverse_line(L40_1610_9)))
% 293.42/42.84 -> [21615] ~left_apart_point(A39_1610_9, L40_1610_9), ~left_apart_point(A39_1610_9, reverse_line(L40_1610_9))
% 293.42/42.84
% 293.42/42.84 [21615] CLOSURE : ~left_apart_point(A39_1610_9, L40_1610_9)
% 293.42/42.84
% 293.42/42.84 [18816] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_100_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_100_6)))
% 293.42/42.84 -> [18824] unequally_directed_lines(skolem_N7979, N34_100_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_100_6))
% 293.42/42.84
% 293.42/42.84 [18824] 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)))))
% 293.42/42.84 -> [19080] ((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)))))
% 293.42/42.84
% 293.42/42.84 [19080] 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)))))
% 293.42/42.84 -> [19082] ~(line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181)))
% 293.42/42.84 -> [19083] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 293.42/42.84
% 293.42/42.84 [19082] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181)))
% 293.42/42.84 -> [19113] ~line(skolem_L7777)
% 293.42/42.84 -> [19114] ~line(line_connecting(skolem_C8282, skolem_B8181))
% 293.42/42.84
% 293.42/42.84 [19114] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [19214] ((unequally_directed_lines(skolem_N7979, M38_690_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_690_8))) => (left_convergent_lines(skolem_N7979, M38_690_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_690_8))))
% 293.42/42.84
% 293.42/42.84 [19214] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_690_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_690_8))) => (left_convergent_lines(skolem_N7979, M38_690_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_690_8))))
% 293.42/42.84 -> [19216] ~(unequally_directed_lines(skolem_N7979, M38_690_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_690_8)))
% 293.42/42.84 -> [19217] (left_convergent_lines(skolem_N7979, M38_690_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_690_8)))
% 293.42/42.84
% 293.42/42.84 [19216] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_690_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_690_8)))
% 293.42/42.84 -> [19282] ~unequally_directed_lines(skolem_N7979, M38_690_8)
% 293.42/42.84 -> [19283] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_690_8))
% 293.42/42.84
% 293.42/42.84 [19283] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_690_8))
% 293.42/42.84
% 293.42/42.84 [19282] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_690_8)
% 293.42/42.84
% 293.42/42.84 [19217] BETA_OR : (left_convergent_lines(skolem_N7979, M38_690_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_690_8)))
% 293.42/42.84 -> [19220] left_convergent_lines(skolem_N7979, M38_690_8)
% 293.42/42.84 -> [19221] left_convergent_lines(skolem_N7979, reverse_line(M38_690_8))
% 293.42/42.84
% 293.42/42.84 [19221] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [19494] ~(left_apart_point(A39_1354_9, L40_1354_9) | left_apart_point(A39_1354_9, reverse_line(L40_1354_9)))
% 293.42/42.84
% 293.42/42.84 [19494] ALPHA_NOT_OR : ~(left_apart_point(A39_1354_9, L40_1354_9) | left_apart_point(A39_1354_9, reverse_line(L40_1354_9)))
% 293.42/42.84 -> [19495] ~left_apart_point(A39_1354_9, L40_1354_9), ~left_apart_point(A39_1354_9, reverse_line(L40_1354_9))
% 293.42/42.84
% 293.42/42.84 [19495] CLOSURE : ~left_apart_point(A39_1354_9, L40_1354_9)
% 293.42/42.84
% 293.42/42.84 [19220] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [19571] ~(left_apart_point(A39_1364_9, L40_1364_9) | left_apart_point(A39_1364_9, reverse_line(L40_1364_9)))
% 293.42/42.84
% 293.42/42.84 [19571] ALPHA_NOT_OR : ~(left_apart_point(A39_1364_9, L40_1364_9) | left_apart_point(A39_1364_9, reverse_line(L40_1364_9)))
% 293.42/42.84 -> [19574] ~left_apart_point(A39_1364_9, L40_1364_9), ~left_apart_point(A39_1364_9, reverse_line(L40_1364_9))
% 293.42/42.84
% 293.42/42.84 [19574] CLOSURE : ~left_apart_point(A39_1364_9, L40_1364_9)
% 293.42/42.84
% 293.42/42.84 [19113] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [19265] ((unequally_directed_lines(skolem_N7979, M38_693_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_693_8))) => (left_convergent_lines(skolem_N7979, M38_693_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_693_8))))
% 293.42/42.84
% 293.42/42.84 [19265] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_693_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_693_8))) => (left_convergent_lines(skolem_N7979, M38_693_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_693_8))))
% 293.42/42.84 -> [19267] ~(unequally_directed_lines(skolem_N7979, M38_693_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_693_8)))
% 293.42/42.84 -> [19268] (left_convergent_lines(skolem_N7979, M38_693_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_693_8)))
% 293.42/42.84
% 293.42/42.84 [19267] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_693_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_693_8)))
% 293.42/42.84 -> [19380] ~unequally_directed_lines(skolem_N7979, M38_693_8)
% 293.42/42.84 -> [19381] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_693_8))
% 293.42/42.84
% 293.42/42.84 [19381] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_693_8))
% 293.42/42.84
% 293.42/42.84 [19380] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_693_8)
% 293.42/42.84
% 293.42/42.84 [19268] BETA_OR : (left_convergent_lines(skolem_N7979, M38_693_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_693_8)))
% 293.42/42.84 -> [19274] left_convergent_lines(skolem_N7979, M38_693_8)
% 293.42/42.84 -> [19275] left_convergent_lines(skolem_N7979, reverse_line(M38_693_8))
% 293.42/42.84
% 293.42/42.84 [19274] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [19735] ~(left_apart_point(A39_1373_9, L40_1373_9) | left_apart_point(A39_1373_9, reverse_line(L40_1373_9)))
% 293.42/42.84
% 293.42/42.84 [19735] ALPHA_NOT_OR : ~(left_apart_point(A39_1373_9, L40_1373_9) | left_apart_point(A39_1373_9, reverse_line(L40_1373_9)))
% 293.42/42.84 -> [19736] ~left_apart_point(A39_1373_9, L40_1373_9), ~left_apart_point(A39_1373_9, reverse_line(L40_1373_9))
% 293.42/42.84
% 293.42/42.84 [19736] CLOSURE : ~left_apart_point(A39_1373_9, L40_1373_9)
% 293.42/42.84
% 293.42/42.84 [19275] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [19727] ~(left_apart_point(A39_1372_9, L40_1372_9) | left_apart_point(A39_1372_9, reverse_line(L40_1372_9)))
% 293.42/42.84
% 293.42/42.84 [19727] ALPHA_NOT_OR : ~(left_apart_point(A39_1372_9, L40_1372_9) | left_apart_point(A39_1372_9, reverse_line(L40_1372_9)))
% 293.42/42.84 -> [19730] ~left_apart_point(A39_1372_9, L40_1372_9), ~left_apart_point(A39_1372_9, reverse_line(L40_1372_9))
% 293.42/42.84
% 293.42/42.84 [19730] CLOSURE : ~left_apart_point(A39_1372_9, L40_1372_9)
% 293.42/42.84
% 293.42/42.84 [19083] 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))))
% 293.42/42.84 -> [19090] unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 293.42/42.84 -> [19091] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))
% 293.42/42.84
% 293.42/42.84 [19090] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 293.42/42.84
% 293.42/42.84 [19091] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [22171] ((unequally_directed_lines(skolem_N7979, M38_882_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_882_8))) => (left_convergent_lines(skolem_N7979, M38_882_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_882_8))))
% 293.42/42.84
% 293.42/42.84 [22171] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_882_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_882_8))) => (left_convergent_lines(skolem_N7979, M38_882_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_882_8))))
% 293.42/42.84 -> [22174] ~(unequally_directed_lines(skolem_N7979, M38_882_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_882_8)))
% 293.42/42.84 -> [22175] (left_convergent_lines(skolem_N7979, M38_882_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_882_8)))
% 293.42/42.84
% 293.42/42.84 [22174] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_882_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_882_8)))
% 293.42/42.84 -> [22226] ~unequally_directed_lines(skolem_N7979, M38_882_8)
% 293.42/42.84 -> [22227] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_882_8))
% 293.42/42.84
% 293.42/42.84 [22227] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_882_8))
% 293.42/42.84
% 293.42/42.84 [22226] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_882_8)
% 293.42/42.84
% 293.42/42.84 [22175] BETA_OR : (left_convergent_lines(skolem_N7979, M38_882_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_882_8)))
% 293.42/42.84 -> [22181] left_convergent_lines(skolem_N7979, M38_882_8)
% 293.42/42.84 -> [22182] left_convergent_lines(skolem_N7979, reverse_line(M38_882_8))
% 293.42/42.84
% 293.42/42.84 [22182] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [22294] ~(left_apart_point(A39_1716_9, L40_1716_9) | left_apart_point(A39_1716_9, reverse_line(L40_1716_9)))
% 293.42/42.84
% 293.42/42.84 [22294] ALPHA_NOT_OR : ~(left_apart_point(A39_1716_9, L40_1716_9) | left_apart_point(A39_1716_9, reverse_line(L40_1716_9)))
% 293.42/42.84 -> [22296] ~left_apart_point(A39_1716_9, L40_1716_9), ~left_apart_point(A39_1716_9, reverse_line(L40_1716_9))
% 293.42/42.84
% 293.42/42.84 [22296] CLOSURE : ~left_apart_point(A39_1716_9, L40_1716_9)
% 293.42/42.84
% 293.42/42.84 [22181] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [22337] ~(left_apart_point(A39_1722_9, L40_1722_9) | left_apart_point(A39_1722_9, reverse_line(L40_1722_9)))
% 293.42/42.84
% 293.42/42.84 [22337] ALPHA_NOT_OR : ~(left_apart_point(A39_1722_9, L40_1722_9) | left_apart_point(A39_1722_9, reverse_line(L40_1722_9)))
% 293.42/42.84 -> [22338] ~left_apart_point(A39_1722_9, L40_1722_9), ~left_apart_point(A39_1722_9, reverse_line(L40_1722_9))
% 293.42/42.84
% 293.42/42.84 [22338] CLOSURE : ~left_apart_point(A39_1722_9, L40_1722_9)
% 293.42/42.84
% 293.42/42.84 [262] 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)))
% 293.42/42.84 -> [360] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 293.42/42.84 -> [361] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [360] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.84 -> [572] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))
% 293.42/42.84 -> [573] ~~(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)))
% 293.42/42.84
% 293.42/42.84 [573] 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)))
% 293.42/42.84 -> [576] (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)))
% 293.42/42.84
% 293.42/42.84 [576] 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)))
% 293.42/42.84 -> [581] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 293.42/42.84 -> [582] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [582] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.84 -> [1121] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.84
% 293.42/42.84 [1121] 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))))
% 293.42/42.84 -> [2809] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.84
% 293.42/42.84 [2809] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.84 -> [2810] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.84 -> [2811] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.84
% 293.42/42.84 [2810] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.84
% 293.42/42.84 [2811] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.84 -> [3155] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.84 -> [3156] distinct_points(skolem_A8080, skolem_B8181)
% 293.42/42.84
% 293.42/42.84 [3155] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.84
% 293.42/42.84 [3156] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.84 -> [3340] ~distinct_lines(N27_53_3, N27_53_3)
% 293.42/42.84
% 293.42/42.84 [3340] 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))))
% 293.42/42.84 -> [3373] (distinct_lines(N27_53_3, N27_53_3) => (distinct_lines(N27_53_3, N27_53_3) | distinct_lines(N27_53_3, N27_53_3)))
% 293.42/42.84
% 293.42/42.84 [3373] 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)))
% 293.42/42.84 -> [3374] ~distinct_lines(N27_53_3, N27_53_3)
% 293.42/42.84 -> [3375] (distinct_lines(N27_53_3, N27_53_3) | distinct_lines(N27_53_3, N27_53_3))
% 293.42/42.84
% 293.42/42.84 [3375] BETA_OR : (distinct_lines(N27_53_3, N27_53_3) | distinct_lines(N27_53_3, N27_53_3))
% 293.42/42.84 -> [3378] distinct_lines(N27_53_3, N27_53_3)
% 293.42/42.84 -> [3379] distinct_lines(N27_53_3, N27_53_3)
% 293.42/42.84
% 293.42/42.84 [3379] CLOSURE : distinct_lines(N27_53_3, N27_53_3)
% 293.42/42.84
% 293.42/42.84 [3378] CLOSURE : distinct_lines(N27_53_3, N27_53_3)
% 293.42/42.84
% 293.42/42.84 [3374] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.84 -> [3403] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [3403] 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))))
% 293.42/42.84 -> [3563] (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)))
% 293.42/42.84
% 293.42/42.84 [3563] 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)))
% 293.42/42.84 -> [3565] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84 -> [3566] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [3565] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [3566] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.84 -> [6216] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84 -> [6217] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [6216] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [6217] 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))))))
% 293.42/42.84 -> [8239] ((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)))))
% 293.42/42.84
% 293.42/42.84 [8239] 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)))))
% 293.42/42.84 -> [8240] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.84 -> [8241] ((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))))
% 293.42/42.84
% 293.42/42.84 [8240] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.84 -> [8321] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.84 -> [8322] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [8322] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [8321] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.84
% 293.42/42.84 [8241] 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))))
% 293.42/42.84 -> [14887] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [14888] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.84
% 293.42/42.84 [14887] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [14928] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [14928] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [14888] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [14894] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [14894] 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)))))
% 293.42/42.84 -> [15016] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.84
% 293.42/42.84 [15016] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.84 -> [15019] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.84 -> [15020] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84
% 293.42/42.84 [15020] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [15022] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84 -> [15023] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [15022] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [15023] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [16475] ((unequally_directed_lines(skolem_N7979, M38_514_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_514_8))) => (left_convergent_lines(skolem_N7979, M38_514_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_514_8))))
% 293.42/42.84
% 293.42/42.84 [16475] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_514_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_514_8))) => (left_convergent_lines(skolem_N7979, M38_514_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_514_8))))
% 293.42/42.84 -> [16476] ~(unequally_directed_lines(skolem_N7979, M38_514_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_514_8)))
% 293.42/42.84 -> [16477] (left_convergent_lines(skolem_N7979, M38_514_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_514_8)))
% 293.42/42.84
% 293.42/42.84 [16477] BETA_OR : (left_convergent_lines(skolem_N7979, M38_514_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_514_8)))
% 293.42/42.84 -> [16487] left_convergent_lines(skolem_N7979, M38_514_8)
% 293.42/42.84 -> [16488] left_convergent_lines(skolem_N7979, reverse_line(M38_514_8))
% 293.42/42.84
% 293.42/42.84 [16488] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [17245] ~(left_apart_point(A39_1059_9, L40_1059_9) | left_apart_point(A39_1059_9, reverse_line(L40_1059_9)))
% 293.42/42.84
% 293.42/42.84 [17245] ALPHA_NOT_OR : ~(left_apart_point(A39_1059_9, L40_1059_9) | left_apart_point(A39_1059_9, reverse_line(L40_1059_9)))
% 293.42/42.84 -> [17246] ~left_apart_point(A39_1059_9, L40_1059_9), ~left_apart_point(A39_1059_9, reverse_line(L40_1059_9))
% 293.42/42.84
% 293.42/42.84 [17246] CLOSURE : ~left_apart_point(A39_1059_9, L40_1059_9)
% 293.42/42.84
% 293.42/42.84 [16487] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [17337] ~(left_apart_point(A39_1078_9, L40_1078_9) | left_apart_point(A39_1078_9, reverse_line(L40_1078_9)))
% 293.42/42.84
% 293.42/42.84 [17337] ALPHA_NOT_OR : ~(left_apart_point(A39_1078_9, L40_1078_9) | left_apart_point(A39_1078_9, reverse_line(L40_1078_9)))
% 293.42/42.84 -> [17340] ~left_apart_point(A39_1078_9, L40_1078_9), ~left_apart_point(A39_1078_9, reverse_line(L40_1078_9))
% 293.42/42.84
% 293.42/42.84 [17340] CLOSURE : ~left_apart_point(A39_1078_9, L40_1078_9)
% 293.42/42.84
% 293.42/42.84 [16476] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_514_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_514_8)))
% 293.42/42.84 -> [16602] ~unequally_directed_lines(skolem_N7979, M38_514_8)
% 293.42/42.84 -> [16603] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_514_8))
% 293.42/42.84
% 293.42/42.84 [16603] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_514_8))
% 293.42/42.84
% 293.42/42.84 [16602] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_514_8)
% 293.42/42.84
% 293.42/42.84 [15019] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.84 -> [15038] ~line(skolem_M7878)
% 293.42/42.84 -> [15039] ~line(skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [15038] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [16465] ((unequally_directed_lines(skolem_N7979, M38_513_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_513_8))) => (left_convergent_lines(skolem_N7979, M38_513_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_513_8))))
% 293.42/42.84
% 293.42/42.84 [16465] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_513_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_513_8))) => (left_convergent_lines(skolem_N7979, M38_513_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_513_8))))
% 293.42/42.84 -> [16470] ~(unequally_directed_lines(skolem_N7979, M38_513_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_513_8)))
% 293.42/42.84 -> [16471] (left_convergent_lines(skolem_N7979, M38_513_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_513_8)))
% 293.42/42.84
% 293.42/42.84 [16470] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_513_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_513_8)))
% 293.42/42.84 -> [16539] ~unequally_directed_lines(skolem_N7979, M38_513_8)
% 293.42/42.84 -> [16540] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_513_8))
% 293.42/42.84
% 293.42/42.84 [16540] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_513_8))
% 293.42/42.84
% 293.42/42.84 [16539] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_513_8)
% 293.42/42.84
% 293.42/42.84 [16471] BETA_OR : (left_convergent_lines(skolem_N7979, M38_513_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_513_8)))
% 293.42/42.84 -> [16479] left_convergent_lines(skolem_N7979, M38_513_8)
% 293.42/42.84 -> [16480] left_convergent_lines(skolem_N7979, reverse_line(M38_513_8))
% 293.42/42.84
% 293.42/42.84 [16480] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [16710] ~(left_apart_point(A39_1000_9, L40_1000_9) | left_apart_point(A39_1000_9, reverse_line(L40_1000_9)))
% 293.42/42.84
% 293.42/42.84 [16710] ALPHA_NOT_OR : ~(left_apart_point(A39_1000_9, L40_1000_9) | left_apart_point(A39_1000_9, reverse_line(L40_1000_9)))
% 293.42/42.84 -> [16713] ~left_apart_point(A39_1000_9, L40_1000_9), ~left_apart_point(A39_1000_9, reverse_line(L40_1000_9))
% 293.42/42.84
% 293.42/42.84 [16713] CLOSURE : ~left_apart_point(A39_1000_9, L40_1000_9)
% 293.42/42.84
% 293.42/42.84 [16479] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [16800] ~(left_apart_point(A39_1012_9, L40_1012_9) | left_apart_point(A39_1012_9, reverse_line(L40_1012_9)))
% 293.42/42.84
% 293.42/42.84 [16800] ALPHA_NOT_OR : ~(left_apart_point(A39_1012_9, L40_1012_9) | left_apart_point(A39_1012_9, reverse_line(L40_1012_9)))
% 293.42/42.84 -> [16801] ~left_apart_point(A39_1012_9, L40_1012_9), ~left_apart_point(A39_1012_9, reverse_line(L40_1012_9))
% 293.42/42.84
% 293.42/42.84 [16801] CLOSURE : ~left_apart_point(A39_1012_9, L40_1012_9)
% 293.42/42.84
% 293.42/42.84 [15039] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [15074] ((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))))
% 293.42/42.84
% 293.42/42.84 [15074] 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))))
% 293.42/42.84 -> [15077] ~(unequally_directed_lines(skolem_N7979, M38_434_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_434_8)))
% 293.42/42.84 -> [15078] (left_convergent_lines(skolem_N7979, M38_434_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_434_8)))
% 293.42/42.84
% 293.42/42.84 [15078] BETA_OR : (left_convergent_lines(skolem_N7979, M38_434_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_434_8)))
% 293.42/42.84 -> [15080] left_convergent_lines(skolem_N7979, M38_434_8)
% 293.42/42.84 -> [15081] left_convergent_lines(skolem_N7979, reverse_line(M38_434_8))
% 293.42/42.84
% 293.42/42.84 [15081] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [16711] ~(left_apart_point(A39_1001_9, L40_1001_9) | left_apart_point(A39_1001_9, reverse_line(L40_1001_9)))
% 293.42/42.84
% 293.42/42.84 [16711] ALPHA_NOT_OR : ~(left_apart_point(A39_1001_9, L40_1001_9) | left_apart_point(A39_1001_9, reverse_line(L40_1001_9)))
% 293.42/42.84 -> [16714] ~left_apart_point(A39_1001_9, L40_1001_9), ~left_apart_point(A39_1001_9, reverse_line(L40_1001_9))
% 293.42/42.84
% 293.42/42.84 [16714] CLOSURE : ~left_apart_point(A39_1001_9, L40_1001_9)
% 293.42/42.84
% 293.42/42.84 [15080] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [16915] ~(left_apart_point(A39_1019_9, L40_1019_9) | left_apart_point(A39_1019_9, reverse_line(L40_1019_9)))
% 293.42/42.84
% 293.42/42.84 [16915] ALPHA_NOT_OR : ~(left_apart_point(A39_1019_9, L40_1019_9) | left_apart_point(A39_1019_9, reverse_line(L40_1019_9)))
% 293.42/42.84 -> [16918] ~left_apart_point(A39_1019_9, L40_1019_9), ~left_apart_point(A39_1019_9, reverse_line(L40_1019_9))
% 293.42/42.84
% 293.42/42.84 [16918] CLOSURE : ~left_apart_point(A39_1019_9, L40_1019_9)
% 293.42/42.84
% 293.42/42.84 [15077] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_434_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_434_8)))
% 293.42/42.84 -> [16707] ~unequally_directed_lines(skolem_N7979, M38_434_8)
% 293.42/42.84 -> [16708] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_434_8))
% 293.42/42.84
% 293.42/42.84 [16707] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_434_8)
% 293.42/42.84
% 293.42/42.84 [16708] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_434_8))
% 293.42/42.84
% 293.42/42.84 [581] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.84 -> [615] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.84
% 293.42/42.84 [615] 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))))
% 293.42/42.84 -> [902] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.84
% 293.42/42.84 [902] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.84 -> [903] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.84 -> [904] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.84
% 293.42/42.84 [903] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.84
% 293.42/42.84 [904] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.84 -> [3043] distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.84 -> [3044] distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.84
% 293.42/42.84 [3044] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.84
% 293.42/42.84 [3043] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.84 -> [3228] ~distinct_lines(N27_58_3, N27_58_3)
% 293.42/42.84
% 293.42/42.84 [3228] 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))))
% 293.42/42.84 -> [3462] (distinct_lines(N27_58_3, N27_58_3) => (distinct_lines(N27_58_3, N27_58_3) | distinct_lines(N27_58_3, N27_58_3)))
% 293.42/42.84
% 293.42/42.84 [3462] BETA_IMPLY : (distinct_lines(N27_58_3, N27_58_3) => (distinct_lines(N27_58_3, N27_58_3) | distinct_lines(N27_58_3, N27_58_3)))
% 293.42/42.84 -> [3463] ~distinct_lines(N27_58_3, N27_58_3)
% 293.42/42.84 -> [3464] (distinct_lines(N27_58_3, N27_58_3) | distinct_lines(N27_58_3, N27_58_3))
% 293.42/42.84
% 293.42/42.84 [3464] BETA_OR : (distinct_lines(N27_58_3, N27_58_3) | distinct_lines(N27_58_3, N27_58_3))
% 293.42/42.84 -> [3465] distinct_lines(N27_58_3, N27_58_3)
% 293.42/42.84 -> [3466] distinct_lines(N27_58_3, N27_58_3)
% 293.42/42.84
% 293.42/42.84 [3465] CLOSURE : distinct_lines(N27_58_3, N27_58_3)
% 293.42/42.84
% 293.42/42.84 [3466] CLOSURE : distinct_lines(N27_58_3, N27_58_3)
% 293.42/42.84
% 293.42/42.84 [3463] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.84 -> [3525] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [3525] 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))))
% 293.42/42.84 -> [3745] (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))))
% 293.42/42.84
% 293.42/42.84 [3745] 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))))
% 293.42/42.84 -> [3746] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84 -> [3747] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.84
% 293.42/42.84 [3746] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [3747] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.84 -> [6632] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84 -> [6633] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [6633] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [6632] 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))))))
% 293.42/42.84 -> [7329] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_60_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_60_6))) | (unequally_directed_lines(skolem_N7979, N34_60_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_60_6)))))
% 293.42/42.84
% 293.42/42.84 [7329] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_60_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_60_6))) | (unequally_directed_lines(skolem_N7979, N34_60_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_60_6)))))
% 293.42/42.84 -> [7333] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.84 -> [7334] ((unequally_directed_lines(skolem_M7878, N34_60_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_60_6))) | (unequally_directed_lines(skolem_N7979, N34_60_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_60_6))))
% 293.42/42.84
% 293.42/42.84 [7333] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.84 -> [7361] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.84 -> [7362] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [7361] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.84
% 293.42/42.84 [7362] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [7334] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_60_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_60_6))) | (unequally_directed_lines(skolem_N7979, N34_60_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_60_6))))
% 293.42/42.84 -> [11214] (unequally_directed_lines(skolem_M7878, N34_60_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_60_6)))
% 293.42/42.84 -> [11215] (unequally_directed_lines(skolem_N7979, N34_60_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_60_6)))
% 293.42/42.84
% 293.42/42.84 [11214] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_60_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_60_6)))
% 293.42/42.84 -> [11273] unequally_directed_lines(skolem_M7878, N34_60_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_60_6))
% 293.42/42.84
% 293.42/42.84 [11273] 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)))))
% 293.42/42.84 -> [12226] ((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)))))
% 293.42/42.84
% 293.42/42.84 [12226] 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)))))
% 293.42/42.84 -> [12228] ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.84 -> [12229] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 293.42/42.84
% 293.42/42.84 [12228] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.84 -> [12281] ~line(reverse_line(skolem_N7979))
% 293.42/42.84 -> [12282] ~line(reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [12281] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [12344] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.84
% 293.42/42.84 [12344] 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))))
% 293.42/42.84 -> [12345] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [12346] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.84
% 293.42/42.84 [12346] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [12351] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.84 -> [12352] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [12352] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [12404] ~(left_apart_point(A39_518_9, L40_518_9) | left_apart_point(A39_518_9, reverse_line(L40_518_9)))
% 293.42/42.84
% 293.42/42.84 [12404] ALPHA_NOT_OR : ~(left_apart_point(A39_518_9, L40_518_9) | left_apart_point(A39_518_9, reverse_line(L40_518_9)))
% 293.42/42.84 -> [12405] ~left_apart_point(A39_518_9, L40_518_9), ~left_apart_point(A39_518_9, reverse_line(L40_518_9))
% 293.42/42.84
% 293.42/42.84 [12405] CLOSURE : ~left_apart_point(A39_518_9, L40_518_9)
% 293.42/42.84
% 293.42/42.84 [12351] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [12416] ~(left_apart_point(A39_520_9, L40_520_9) | left_apart_point(A39_520_9, reverse_line(L40_520_9)))
% 293.42/42.84
% 293.42/42.84 [12416] ALPHA_NOT_OR : ~(left_apart_point(A39_520_9, L40_520_9) | left_apart_point(A39_520_9, reverse_line(L40_520_9)))
% 293.42/42.84 -> [12422] ~left_apart_point(A39_520_9, L40_520_9), ~left_apart_point(A39_520_9, reverse_line(L40_520_9))
% 293.42/42.84
% 293.42/42.84 [12422] CLOSURE : ~left_apart_point(A39_520_9, L40_520_9)
% 293.42/42.84
% 293.42/42.84 [12345] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [12373] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.84 -> [12374] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [12374] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [12373] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [12282] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [12716] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.84
% 293.42/42.84 [12716] 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))))
% 293.42/42.84 -> [12717] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [12718] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.84
% 293.42/42.84 [12718] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [12722] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.84 -> [12723] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [12723] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [12979] ~(left_apart_point(A39_578_9, L40_578_9) | left_apart_point(A39_578_9, reverse_line(L40_578_9)))
% 293.42/42.84
% 293.42/42.84 [12979] ALPHA_NOT_OR : ~(left_apart_point(A39_578_9, L40_578_9) | left_apart_point(A39_578_9, reverse_line(L40_578_9)))
% 293.42/42.84 -> [12984] ~left_apart_point(A39_578_9, L40_578_9), ~left_apart_point(A39_578_9, reverse_line(L40_578_9))
% 293.42/42.84
% 293.42/42.84 [12984] CLOSURE : ~left_apart_point(A39_578_9, L40_578_9)
% 293.42/42.84
% 293.42/42.84 [12722] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [13046] ~(left_apart_point(A39_588_9, L40_588_9) | left_apart_point(A39_588_9, reverse_line(L40_588_9)))
% 293.42/42.84
% 293.42/42.84 [13046] ALPHA_NOT_OR : ~(left_apart_point(A39_588_9, L40_588_9) | left_apart_point(A39_588_9, reverse_line(L40_588_9)))
% 293.42/42.84 -> [13047] ~left_apart_point(A39_588_9, L40_588_9), ~left_apart_point(A39_588_9, reverse_line(L40_588_9))
% 293.42/42.84
% 293.42/42.84 [13047] CLOSURE : ~left_apart_point(A39_588_9, L40_588_9)
% 293.42/42.84
% 293.42/42.84 [12717] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [12767] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.84 -> [12768] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [12768] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [12767] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [12229] 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))))
% 293.42/42.84 -> [12231] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.84 -> [12232] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 293.42/42.84
% 293.42/42.84 [12231] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [12232] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [14010] ((unequally_directed_lines(skolem_M7878, M38_368_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_368_8))) => (left_convergent_lines(skolem_M7878, M38_368_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_368_8))))
% 293.42/42.84
% 293.42/42.84 [14010] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_368_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_368_8))) => (left_convergent_lines(skolem_M7878, M38_368_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_368_8))))
% 293.42/42.84 -> [14016] ~(unequally_directed_lines(skolem_M7878, M38_368_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_368_8)))
% 293.42/42.84 -> [14017] (left_convergent_lines(skolem_M7878, M38_368_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_368_8)))
% 293.42/42.84
% 293.42/42.84 [14017] BETA_OR : (left_convergent_lines(skolem_M7878, M38_368_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_368_8)))
% 293.42/42.84 -> [14023] left_convergent_lines(skolem_M7878, M38_368_8)
% 293.42/42.84 -> [14024] left_convergent_lines(skolem_M7878, reverse_line(M38_368_8))
% 293.42/42.84
% 293.42/42.84 [14024] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [14167] ~(left_apart_point(A39_712_9, L40_712_9) | left_apart_point(A39_712_9, reverse_line(L40_712_9)))
% 293.42/42.84
% 293.42/42.84 [14167] ALPHA_NOT_OR : ~(left_apart_point(A39_712_9, L40_712_9) | left_apart_point(A39_712_9, reverse_line(L40_712_9)))
% 293.42/42.84 -> [14171] ~left_apart_point(A39_712_9, L40_712_9), ~left_apart_point(A39_712_9, reverse_line(L40_712_9))
% 293.42/42.84
% 293.42/42.84 [14171] CLOSURE : ~left_apart_point(A39_712_9, L40_712_9)
% 293.42/42.84
% 293.42/42.84 [14023] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [14200] ~(left_apart_point(A39_716_9, L40_716_9) | left_apart_point(A39_716_9, reverse_line(L40_716_9)))
% 293.42/42.84
% 293.42/42.84 [14200] ALPHA_NOT_OR : ~(left_apart_point(A39_716_9, L40_716_9) | left_apart_point(A39_716_9, reverse_line(L40_716_9)))
% 293.42/42.84 -> [14201] ~left_apart_point(A39_716_9, L40_716_9), ~left_apart_point(A39_716_9, reverse_line(L40_716_9))
% 293.42/42.84
% 293.42/42.84 [14201] CLOSURE : ~left_apart_point(A39_716_9, L40_716_9)
% 293.42/42.84
% 293.42/42.84 [14016] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_368_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_368_8)))
% 293.42/42.84 -> [14069] ~unequally_directed_lines(skolem_M7878, M38_368_8)
% 293.42/42.84 -> [14070] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_368_8))
% 293.42/42.84
% 293.42/42.84 [14070] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_368_8))
% 293.42/42.84
% 293.42/42.84 [14069] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_368_8)
% 293.42/42.84
% 293.42/42.84 [11215] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_60_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_60_6)))
% 293.42/42.84 -> [11220] unequally_directed_lines(skolem_N7979, N34_60_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_60_6))
% 293.42/42.84
% 293.42/42.84 [11220] 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)))))
% 293.42/42.84 -> [11939] ((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)))))
% 293.42/42.84
% 293.42/42.84 [11939] 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)))))
% 293.42/42.84 -> [11940] ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.84 -> [11941] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))
% 293.42/42.84
% 293.42/42.84 [11940] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.84 -> [11955] ~line(skolem_L7777)
% 293.42/42.84 -> [11956] ~line(line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.84
% 293.42/42.84 [11955] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [11987] ((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))))
% 293.42/42.84
% 293.42/42.84 [11987] 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))))
% 293.42/42.84 -> [11989] ~(unequally_directed_lines(skolem_N7979, M38_253_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_253_8)))
% 293.42/42.84 -> [11990] (left_convergent_lines(skolem_N7979, M38_253_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_253_8)))
% 293.42/42.84
% 293.42/42.84 [11990] BETA_OR : (left_convergent_lines(skolem_N7979, M38_253_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_253_8)))
% 293.42/42.84 -> [11996] left_convergent_lines(skolem_N7979, M38_253_8)
% 293.42/42.84 -> [11997] left_convergent_lines(skolem_N7979, reverse_line(M38_253_8))
% 293.42/42.84
% 293.42/42.84 [11997] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [12068] ~(left_apart_point(A39_491_9, L40_491_9) | left_apart_point(A39_491_9, reverse_line(L40_491_9)))
% 293.42/42.84
% 293.42/42.84 [12068] ALPHA_NOT_OR : ~(left_apart_point(A39_491_9, L40_491_9) | left_apart_point(A39_491_9, reverse_line(L40_491_9)))
% 293.42/42.84 -> [12070] ~left_apart_point(A39_491_9, L40_491_9), ~left_apart_point(A39_491_9, reverse_line(L40_491_9))
% 293.42/42.84
% 293.42/42.84 [12070] CLOSURE : ~left_apart_point(A39_491_9, L40_491_9)
% 293.42/42.84
% 293.42/42.84 [11996] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [12084] ~(left_apart_point(A39_495_9, L40_495_9) | left_apart_point(A39_495_9, reverse_line(L40_495_9)))
% 293.42/42.84
% 293.42/42.84 [12084] ALPHA_NOT_OR : ~(left_apart_point(A39_495_9, L40_495_9) | left_apart_point(A39_495_9, reverse_line(L40_495_9)))
% 293.42/42.84 -> [12085] ~left_apart_point(A39_495_9, L40_495_9), ~left_apart_point(A39_495_9, reverse_line(L40_495_9))
% 293.42/42.84
% 293.42/42.84 [12085] CLOSURE : ~left_apart_point(A39_495_9, L40_495_9)
% 293.42/42.84
% 293.42/42.84 [11989] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_253_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_253_8)))
% 293.42/42.84 -> [12015] ~unequally_directed_lines(skolem_N7979, M38_253_8)
% 293.42/42.84 -> [12016] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_253_8))
% 293.42/42.84
% 293.42/42.84 [12015] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_253_8)
% 293.42/42.84
% 293.42/42.84 [12016] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_253_8))
% 293.42/42.84
% 293.42/42.84 [11956] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [12001] ((unequally_directed_lines(skolem_N7979, M38_254_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_254_8))) => (left_convergent_lines(skolem_N7979, M38_254_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_254_8))))
% 293.42/42.84
% 293.42/42.84 [12001] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_254_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_254_8))) => (left_convergent_lines(skolem_N7979, M38_254_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_254_8))))
% 293.42/42.84 -> [12004] ~(unequally_directed_lines(skolem_N7979, M38_254_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_254_8)))
% 293.42/42.84 -> [12005] (left_convergent_lines(skolem_N7979, M38_254_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_254_8)))
% 293.42/42.84
% 293.42/42.84 [12005] BETA_OR : (left_convergent_lines(skolem_N7979, M38_254_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_254_8)))
% 293.42/42.84 -> [12009] left_convergent_lines(skolem_N7979, M38_254_8)
% 293.42/42.84 -> [12010] left_convergent_lines(skolem_N7979, reverse_line(M38_254_8))
% 293.42/42.84
% 293.42/42.84 [12010] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [12075] ~(left_apart_point(A39_493_9, L40_493_9) | left_apart_point(A39_493_9, reverse_line(L40_493_9)))
% 293.42/42.84
% 293.42/42.84 [12075] ALPHA_NOT_OR : ~(left_apart_point(A39_493_9, L40_493_9) | left_apart_point(A39_493_9, reverse_line(L40_493_9)))
% 293.42/42.84 -> [12076] ~left_apart_point(A39_493_9, L40_493_9), ~left_apart_point(A39_493_9, reverse_line(L40_493_9))
% 293.42/42.84
% 293.42/42.84 [12076] CLOSURE : ~left_apart_point(A39_493_9, L40_493_9)
% 293.42/42.84
% 293.42/42.84 [12009] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [12088] ~(left_apart_point(A39_497_9, L40_497_9) | left_apart_point(A39_497_9, reverse_line(L40_497_9)))
% 293.42/42.84
% 293.42/42.84 [12088] ALPHA_NOT_OR : ~(left_apart_point(A39_497_9, L40_497_9) | left_apart_point(A39_497_9, reverse_line(L40_497_9)))
% 293.42/42.84 -> [12090] ~left_apart_point(A39_497_9, L40_497_9), ~left_apart_point(A39_497_9, reverse_line(L40_497_9))
% 293.42/42.84
% 293.42/42.84 [12090] CLOSURE : ~left_apart_point(A39_497_9, L40_497_9)
% 293.42/42.84
% 293.42/42.84 [12004] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_254_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_254_8)))
% 293.42/42.84 -> [12017] ~unequally_directed_lines(skolem_N7979, M38_254_8)
% 293.42/42.84 -> [12018] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_254_8))
% 293.42/42.84
% 293.42/42.84 [12018] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_254_8))
% 293.42/42.84
% 293.42/42.84 [12017] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_254_8)
% 293.42/42.84
% 293.42/42.84 [11941] 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))))
% 293.42/42.84 -> [11944] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.84 -> [11945] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.84
% 293.42/42.84 [11944] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.84
% 293.42/42.84 [11945] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [17379] ((unequally_directed_lines(skolem_N7979, M38_578_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_578_8))) => (left_convergent_lines(skolem_N7979, M38_578_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_578_8))))
% 293.42/42.84
% 293.42/42.84 [17379] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_578_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_578_8))) => (left_convergent_lines(skolem_N7979, M38_578_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_578_8))))
% 293.42/42.84 -> [17380] ~(unequally_directed_lines(skolem_N7979, M38_578_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_578_8)))
% 293.42/42.84 -> [17381] (left_convergent_lines(skolem_N7979, M38_578_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_578_8)))
% 293.42/42.84
% 293.42/42.84 [17380] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_578_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_578_8)))
% 293.42/42.84 -> [17533] ~unequally_directed_lines(skolem_N7979, M38_578_8)
% 293.42/42.84 -> [17534] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_578_8))
% 293.42/42.84
% 293.42/42.84 [17534] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_578_8))
% 293.42/42.84
% 293.42/42.84 [17533] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_578_8)
% 293.42/42.84
% 293.42/42.84 [17381] BETA_OR : (left_convergent_lines(skolem_N7979, M38_578_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_578_8)))
% 293.42/42.84 -> [17387] left_convergent_lines(skolem_N7979, M38_578_8)
% 293.42/42.84 -> [17388] left_convergent_lines(skolem_N7979, reverse_line(M38_578_8))
% 293.42/42.84
% 293.42/42.84 [17387] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [17901] ~(left_apart_point(A39_1157_9, L40_1157_9) | left_apart_point(A39_1157_9, reverse_line(L40_1157_9)))
% 293.42/42.84
% 293.42/42.84 [17901] ALPHA_NOT_OR : ~(left_apart_point(A39_1157_9, L40_1157_9) | left_apart_point(A39_1157_9, reverse_line(L40_1157_9)))
% 293.42/42.84 -> [17902] ~left_apart_point(A39_1157_9, L40_1157_9), ~left_apart_point(A39_1157_9, reverse_line(L40_1157_9))
% 293.42/42.84
% 293.42/42.84 [17902] CLOSURE : ~left_apart_point(A39_1157_9, L40_1157_9)
% 293.42/42.84
% 293.42/42.84 [17388] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [17903] ~(left_apart_point(A39_1158_9, L40_1158_9) | left_apart_point(A39_1158_9, reverse_line(L40_1158_9)))
% 293.42/42.84
% 293.42/42.84 [17903] ALPHA_NOT_OR : ~(left_apart_point(A39_1158_9, L40_1158_9) | left_apart_point(A39_1158_9, reverse_line(L40_1158_9)))
% 293.42/42.84 -> [17904] ~left_apart_point(A39_1158_9, L40_1158_9), ~left_apart_point(A39_1158_9, reverse_line(L40_1158_9))
% 293.42/42.84
% 293.42/42.84 [17904] CLOSURE : ~left_apart_point(A39_1158_9, L40_1158_9)
% 293.42/42.84
% 293.42/42.84 [572] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.84 -> [656] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.84
% 293.42/42.84 [656] 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))))
% 293.42/42.84 -> [771] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.84
% 293.42/42.84 [771] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.84 -> [774] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.84 -> [775] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.84
% 293.42/42.84 [774] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.84
% 293.42/42.84 [775] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.84 -> [2047] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.84 -> [2048] distinct_points(skolem_A8080, skolem_B8181)
% 293.42/42.84
% 293.42/42.84 [2047] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.84
% 293.42/42.84 [2048] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.84 -> [2118] ~distinct_lines(N27_10_3, N27_10_3)
% 293.42/42.84
% 293.42/42.84 [2118] 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))))
% 293.42/42.84 -> [2133] (distinct_lines(N27_10_3, N27_10_3) => (distinct_lines(N27_10_3, N27_10_3) | distinct_lines(N27_10_3, N27_10_3)))
% 293.42/42.84
% 293.42/42.84 [2133] 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)))
% 293.42/42.84 -> [2134] ~distinct_lines(N27_10_3, N27_10_3)
% 293.42/42.84 -> [2135] (distinct_lines(N27_10_3, N27_10_3) | distinct_lines(N27_10_3, N27_10_3))
% 293.42/42.84
% 293.42/42.84 [2135] BETA_OR : (distinct_lines(N27_10_3, N27_10_3) | distinct_lines(N27_10_3, N27_10_3))
% 293.42/42.84 -> [2138] distinct_lines(N27_10_3, N27_10_3)
% 293.42/42.84 -> [2139] distinct_lines(N27_10_3, N27_10_3)
% 293.42/42.84
% 293.42/42.84 [2139] CLOSURE : distinct_lines(N27_10_3, N27_10_3)
% 293.42/42.84
% 293.42/42.84 [2138] CLOSURE : distinct_lines(N27_10_3, N27_10_3)
% 293.42/42.84
% 293.42/42.84 [2134] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.84 -> [2148] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [2148] 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))))
% 293.42/42.84 -> [2156] (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)))
% 293.42/42.84
% 293.42/42.84 [2156] 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)))
% 293.42/42.84 -> [2161] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84 -> [2162] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [2161] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [2162] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.84 -> [7704] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84 -> [7705] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [7704] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [7705] 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))))))
% 293.42/42.84 -> [12526] ((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)))))
% 293.42/42.84
% 293.42/42.84 [12526] 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)))))
% 293.42/42.84 -> [12529] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.84 -> [12530] ((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))))
% 293.42/42.84
% 293.42/42.84 [12529] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.84 -> [12744] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.84 -> [12745] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [12744] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.84
% 293.42/42.84 [12745] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [12530] 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))))
% 293.42/42.84 -> [23532] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [23533] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.84
% 293.42/42.84 [23532] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [23669] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [23669] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [23533] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [23536] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [23536] 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)))))
% 293.42/42.84 -> [23877] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.84
% 293.42/42.84 [23877] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.84 -> [23878] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.84 -> [23879] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84
% 293.42/42.84 [23879] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [23881] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84 -> [23882] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [23881] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [23882] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [23920] ((unequally_directed_lines(skolem_N7979, M38_998_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_998_8))) => (left_convergent_lines(skolem_N7979, M38_998_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_998_8))))
% 293.42/42.84
% 293.42/42.84 [23920] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_998_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_998_8))) => (left_convergent_lines(skolem_N7979, M38_998_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_998_8))))
% 293.42/42.84 -> [23927] ~(unequally_directed_lines(skolem_N7979, M38_998_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_998_8)))
% 293.42/42.84 -> [23928] (left_convergent_lines(skolem_N7979, M38_998_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_998_8)))
% 293.42/42.84
% 293.42/42.84 [23928] BETA_OR : (left_convergent_lines(skolem_N7979, M38_998_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_998_8)))
% 293.42/42.84 -> [23932] left_convergent_lines(skolem_N7979, M38_998_8)
% 293.42/42.84 -> [23933] left_convergent_lines(skolem_N7979, reverse_line(M38_998_8))
% 293.42/42.84
% 293.42/42.84 [23933] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [24011] ~(left_apart_point(A39_1966_9, L40_1966_9) | left_apart_point(A39_1966_9, reverse_line(L40_1966_9)))
% 293.42/42.84
% 293.42/42.84 [24011] ALPHA_NOT_OR : ~(left_apart_point(A39_1966_9, L40_1966_9) | left_apart_point(A39_1966_9, reverse_line(L40_1966_9)))
% 293.42/42.84 -> [24014] ~left_apart_point(A39_1966_9, L40_1966_9), ~left_apart_point(A39_1966_9, reverse_line(L40_1966_9))
% 293.42/42.84
% 293.42/42.84 [24014] CLOSURE : ~left_apart_point(A39_1966_9, L40_1966_9)
% 293.42/42.84
% 293.42/42.84 [23932] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [24034] ~(left_apart_point(A39_1972_9, L40_1972_9) | left_apart_point(A39_1972_9, reverse_line(L40_1972_9)))
% 293.42/42.84
% 293.42/42.84 [24034] ALPHA_NOT_OR : ~(left_apart_point(A39_1972_9, L40_1972_9) | left_apart_point(A39_1972_9, reverse_line(L40_1972_9)))
% 293.42/42.84 -> [24036] ~left_apart_point(A39_1972_9, L40_1972_9), ~left_apart_point(A39_1972_9, reverse_line(L40_1972_9))
% 293.42/42.84
% 293.42/42.84 [24036] CLOSURE : ~left_apart_point(A39_1972_9, L40_1972_9)
% 293.42/42.84
% 293.42/42.84 [23927] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_998_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_998_8)))
% 293.42/42.84 -> [23966] ~unequally_directed_lines(skolem_N7979, M38_998_8)
% 293.42/42.84 -> [23967] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_998_8))
% 293.42/42.84
% 293.42/42.84 [23967] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_998_8))
% 293.42/42.84
% 293.42/42.84 [23966] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_998_8)
% 293.42/42.84
% 293.42/42.84 [23878] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.84 -> [23885] ~line(skolem_M7878)
% 293.42/42.84 -> [23886] ~line(skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [23886] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [23903] ((unequally_directed_lines(skolem_N7979, M38_996_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_996_8))) => (left_convergent_lines(skolem_N7979, M38_996_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_996_8))))
% 293.42/42.84
% 293.42/42.84 [23903] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_996_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_996_8))) => (left_convergent_lines(skolem_N7979, M38_996_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_996_8))))
% 293.42/42.84 -> [23906] ~(unequally_directed_lines(skolem_N7979, M38_996_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_996_8)))
% 293.42/42.84 -> [23907] (left_convergent_lines(skolem_N7979, M38_996_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_996_8)))
% 293.42/42.84
% 293.42/42.84 [23907] BETA_OR : (left_convergent_lines(skolem_N7979, M38_996_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_996_8)))
% 293.42/42.84 -> [23912] left_convergent_lines(skolem_N7979, M38_996_8)
% 293.42/42.84 -> [23913] left_convergent_lines(skolem_N7979, reverse_line(M38_996_8))
% 293.42/42.84
% 293.42/42.84 [23913] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [24004] ~(left_apart_point(A39_1964_9, L40_1964_9) | left_apart_point(A39_1964_9, reverse_line(L40_1964_9)))
% 293.42/42.84
% 293.42/42.84 [24004] ALPHA_NOT_OR : ~(left_apart_point(A39_1964_9, L40_1964_9) | left_apart_point(A39_1964_9, reverse_line(L40_1964_9)))
% 293.42/42.84 -> [24006] ~left_apart_point(A39_1964_9, L40_1964_9), ~left_apart_point(A39_1964_9, reverse_line(L40_1964_9))
% 293.42/42.84
% 293.42/42.84 [24006] CLOSURE : ~left_apart_point(A39_1964_9, L40_1964_9)
% 293.42/42.84
% 293.42/42.84 [23912] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [24074] ~(left_apart_point(A39_1983_9, L40_1983_9) | left_apart_point(A39_1983_9, reverse_line(L40_1983_9)))
% 293.42/42.84
% 293.42/42.84 [24074] ALPHA_NOT_OR : ~(left_apart_point(A39_1983_9, L40_1983_9) | left_apart_point(A39_1983_9, reverse_line(L40_1983_9)))
% 293.42/42.84 -> [24075] ~left_apart_point(A39_1983_9, L40_1983_9), ~left_apart_point(A39_1983_9, reverse_line(L40_1983_9))
% 293.42/42.84
% 293.42/42.84 [24075] CLOSURE : ~left_apart_point(A39_1983_9, L40_1983_9)
% 293.42/42.84
% 293.42/42.84 [23906] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_996_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_996_8)))
% 293.42/42.84 -> [23957] ~unequally_directed_lines(skolem_N7979, M38_996_8)
% 293.42/42.84 -> [23958] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_996_8))
% 293.42/42.84
% 293.42/42.84 [23957] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_996_8)
% 293.42/42.84
% 293.42/42.84 [23958] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_996_8))
% 293.42/42.84
% 293.42/42.84 [23885] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [23939] ((unequally_directed_lines(skolem_N7979, M38_1000_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1000_8))) => (left_convergent_lines(skolem_N7979, M38_1000_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1000_8))))
% 293.42/42.84
% 293.42/42.84 [23939] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1000_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1000_8))) => (left_convergent_lines(skolem_N7979, M38_1000_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1000_8))))
% 293.42/42.84 -> [23944] ~(unequally_directed_lines(skolem_N7979, M38_1000_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1000_8)))
% 293.42/42.84 -> [23945] (left_convergent_lines(skolem_N7979, M38_1000_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1000_8)))
% 293.42/42.84
% 293.42/42.84 [23944] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1000_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1000_8)))
% 293.42/42.84 -> [23975] ~unequally_directed_lines(skolem_N7979, M38_1000_8)
% 293.42/42.84 -> [23976] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1000_8))
% 293.42/42.84
% 293.42/42.84 [23976] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1000_8))
% 293.42/42.84
% 293.42/42.84 [23975] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1000_8)
% 293.42/42.84
% 293.42/42.84 [23945] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1000_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1000_8)))
% 293.42/42.84 -> [23948] left_convergent_lines(skolem_N7979, M38_1000_8)
% 293.42/42.84 -> [23949] left_convergent_lines(skolem_N7979, reverse_line(M38_1000_8))
% 293.42/42.84
% 293.42/42.84 [23949] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [24072] ~(left_apart_point(A39_1982_9, L40_1982_9) | left_apart_point(A39_1982_9, reverse_line(L40_1982_9)))
% 293.42/42.84
% 293.42/42.84 [24072] ALPHA_NOT_OR : ~(left_apart_point(A39_1982_9, L40_1982_9) | left_apart_point(A39_1982_9, reverse_line(L40_1982_9)))
% 293.42/42.84 -> [24073] ~left_apart_point(A39_1982_9, L40_1982_9), ~left_apart_point(A39_1982_9, reverse_line(L40_1982_9))
% 293.42/42.84
% 293.42/42.84 [24073] CLOSURE : ~left_apart_point(A39_1982_9, L40_1982_9)
% 293.42/42.84
% 293.42/42.84 [23948] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [24189] ~(left_apart_point(A39_1990_9, L40_1990_9) | left_apart_point(A39_1990_9, reverse_line(L40_1990_9)))
% 293.42/42.84
% 293.42/42.84 [24189] ALPHA_NOT_OR : ~(left_apart_point(A39_1990_9, L40_1990_9) | left_apart_point(A39_1990_9, reverse_line(L40_1990_9)))
% 293.42/42.84 -> [24195] ~left_apart_point(A39_1990_9, L40_1990_9), ~left_apart_point(A39_1990_9, reverse_line(L40_1990_9))
% 293.42/42.84
% 293.42/42.84 [24195] CLOSURE : ~left_apart_point(A39_1990_9, L40_1990_9)
% 293.42/42.84
% 293.42/42.84 [361] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.84 -> [673] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))
% 293.42/42.84 -> [674] ~~(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)))
% 293.42/42.84
% 293.42/42.84 [673] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.84 -> [1327] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.84
% 293.42/42.84 [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))))
% 293.42/42.84 -> [1444] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.84
% 293.42/42.84 [1444] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.84 -> [1445] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.84 -> [1446] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.84
% 293.42/42.84 [1445] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.84
% 293.42/42.84 [1446] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.84 -> [3443] distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.84 -> [3444] distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.84
% 293.42/42.84 [3444] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.84
% 293.42/42.84 [3443] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.84 -> [5330] ~distinct_lines(N27_150_3, N27_150_3)
% 293.42/42.84
% 293.42/42.84 [5330] 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))))
% 293.42/42.84 -> [5385] (distinct_lines(N27_150_3, N27_150_3) => (distinct_lines(N27_150_3, N27_150_3) | distinct_lines(N27_150_3, N27_150_3)))
% 293.42/42.84
% 293.42/42.84 [5385] BETA_IMPLY : (distinct_lines(N27_150_3, N27_150_3) => (distinct_lines(N27_150_3, N27_150_3) | distinct_lines(N27_150_3, N27_150_3)))
% 293.42/42.84 -> [5386] ~distinct_lines(N27_150_3, N27_150_3)
% 293.42/42.84 -> [5387] (distinct_lines(N27_150_3, N27_150_3) | distinct_lines(N27_150_3, N27_150_3))
% 293.42/42.84
% 293.42/42.84 [5387] BETA_OR : (distinct_lines(N27_150_3, N27_150_3) | distinct_lines(N27_150_3, N27_150_3))
% 293.42/42.84 -> [5392] distinct_lines(N27_150_3, N27_150_3)
% 293.42/42.84 -> [5393] distinct_lines(N27_150_3, N27_150_3)
% 293.42/42.84
% 293.42/42.84 [5393] CLOSURE : distinct_lines(N27_150_3, N27_150_3)
% 293.42/42.84
% 293.42/42.84 [5392] CLOSURE : distinct_lines(N27_150_3, N27_150_3)
% 293.42/42.84
% 293.42/42.84 [5386] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.84 -> [5452] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [5452] 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))))
% 293.42/42.84 -> [5544] (unequally_directed_lines(skolem_L7777, skolem_M7878) => (unequally_directed_lines(skolem_L7777, skolem_M7878) | unequally_directed_lines(skolem_M7878, skolem_M7878)))
% 293.42/42.84
% 293.42/42.84 [5544] BETA_IMPLY : (unequally_directed_lines(skolem_L7777, skolem_M7878) => (unequally_directed_lines(skolem_L7777, skolem_M7878) | unequally_directed_lines(skolem_M7878, skolem_M7878)))
% 293.42/42.84 -> [5545] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.84 -> [5546] (unequally_directed_lines(skolem_L7777, skolem_M7878) | unequally_directed_lines(skolem_M7878, skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [5545] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [5546] BETA_OR : (unequally_directed_lines(skolem_L7777, skolem_M7878) | unequally_directed_lines(skolem_M7878, skolem_M7878))
% 293.42/42.84 -> [8394] unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.84 -> [8395] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [8395] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [8394] 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))))))
% 293.42/42.84 -> [11608] ((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)))))
% 293.42/42.84
% 293.42/42.84 [11608] 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)))))
% 293.42/42.84 -> [11609] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.84 -> [11610] ((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))))
% 293.42/42.84
% 293.42/42.84 [11609] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.84 -> [11623] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.84 -> [11624] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [11624] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [11623] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.84
% 293.42/42.84 [11610] 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))))
% 293.42/42.84 -> [19922] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [19923] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.84
% 293.42/42.84 [19922] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [19952] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [19952] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [19923] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [19927] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [19927] 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)))))
% 293.42/42.84 -> [20654] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.84
% 293.42/42.84 [20654] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.84 -> [20655] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.84 -> [20656] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84
% 293.42/42.84 [20655] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.84 -> [20703] ~line(skolem_M7878)
% 293.42/42.84 -> [20704] ~line(skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [20704] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [20892] ((unequally_directed_lines(skolem_N7979, M38_793_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_793_8))) => (left_convergent_lines(skolem_N7979, M38_793_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_793_8))))
% 293.42/42.84
% 293.42/42.84 [20892] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_793_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_793_8))) => (left_convergent_lines(skolem_N7979, M38_793_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_793_8))))
% 293.42/42.84 -> [20893] ~(unequally_directed_lines(skolem_N7979, M38_793_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_793_8)))
% 293.42/42.84 -> [20894] (left_convergent_lines(skolem_N7979, M38_793_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_793_8)))
% 293.42/42.84
% 293.42/42.84 [20894] BETA_OR : (left_convergent_lines(skolem_N7979, M38_793_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_793_8)))
% 293.42/42.84 -> [20901] left_convergent_lines(skolem_N7979, M38_793_8)
% 293.42/42.84 -> [20902] left_convergent_lines(skolem_N7979, reverse_line(M38_793_8))
% 293.42/42.84
% 293.42/42.84 [20901] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [21293] ~(left_apart_point(A39_1558_9, L40_1558_9) | left_apart_point(A39_1558_9, reverse_line(L40_1558_9)))
% 293.42/42.84
% 293.42/42.84 [21293] ALPHA_NOT_OR : ~(left_apart_point(A39_1558_9, L40_1558_9) | left_apart_point(A39_1558_9, reverse_line(L40_1558_9)))
% 293.42/42.84 -> [21299] ~left_apart_point(A39_1558_9, L40_1558_9), ~left_apart_point(A39_1558_9, reverse_line(L40_1558_9))
% 293.42/42.84
% 293.42/42.84 [21299] CLOSURE : ~left_apart_point(A39_1558_9, L40_1558_9)
% 293.42/42.84
% 293.42/42.84 [20902] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [21304] ~(left_apart_point(A39_1559_9, L40_1559_9) | left_apart_point(A39_1559_9, reverse_line(L40_1559_9)))
% 293.42/42.84
% 293.42/42.84 [21304] ALPHA_NOT_OR : ~(left_apart_point(A39_1559_9, L40_1559_9) | left_apart_point(A39_1559_9, reverse_line(L40_1559_9)))
% 293.42/42.84 -> [21307] ~left_apart_point(A39_1559_9, L40_1559_9), ~left_apart_point(A39_1559_9, reverse_line(L40_1559_9))
% 293.42/42.84
% 293.42/42.84 [21307] CLOSURE : ~left_apart_point(A39_1559_9, L40_1559_9)
% 293.42/42.84
% 293.42/42.84 [20893] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_793_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_793_8)))
% 293.42/42.84 -> [20966] ~unequally_directed_lines(skolem_N7979, M38_793_8)
% 293.42/42.84 -> [20967] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_793_8))
% 293.42/42.84
% 293.42/42.84 [20967] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_793_8))
% 293.42/42.84
% 293.42/42.84 [20966] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_793_8)
% 293.42/42.84
% 293.42/42.84 [20703] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [21031] ((unequally_directed_lines(skolem_N7979, M38_800_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_800_8))) => (left_convergent_lines(skolem_N7979, M38_800_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_800_8))))
% 293.42/42.84
% 293.42/42.84 [21031] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_800_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_800_8))) => (left_convergent_lines(skolem_N7979, M38_800_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_800_8))))
% 293.42/42.84 -> [21034] ~(unequally_directed_lines(skolem_N7979, M38_800_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_800_8)))
% 293.42/42.84 -> [21035] (left_convergent_lines(skolem_N7979, M38_800_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_800_8)))
% 293.42/42.84
% 293.42/42.84 [21035] BETA_OR : (left_convergent_lines(skolem_N7979, M38_800_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_800_8)))
% 293.42/42.84 -> [21040] left_convergent_lines(skolem_N7979, M38_800_8)
% 293.42/42.84 -> [21041] left_convergent_lines(skolem_N7979, reverse_line(M38_800_8))
% 293.42/42.84
% 293.42/42.84 [21041] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [21414] ~(left_apart_point(A39_1578_9, L40_1578_9) | left_apart_point(A39_1578_9, reverse_line(L40_1578_9)))
% 293.42/42.84
% 293.42/42.84 [21414] ALPHA_NOT_OR : ~(left_apart_point(A39_1578_9, L40_1578_9) | left_apart_point(A39_1578_9, reverse_line(L40_1578_9)))
% 293.42/42.84 -> [21418] ~left_apart_point(A39_1578_9, L40_1578_9), ~left_apart_point(A39_1578_9, reverse_line(L40_1578_9))
% 293.42/42.84
% 293.42/42.84 [21418] CLOSURE : ~left_apart_point(A39_1578_9, L40_1578_9)
% 293.42/42.84
% 293.42/42.84 [21040] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [21517] ~(left_apart_point(A39_1599_9, L40_1599_9) | left_apart_point(A39_1599_9, reverse_line(L40_1599_9)))
% 293.42/42.84
% 293.42/42.84 [21517] ALPHA_NOT_OR : ~(left_apart_point(A39_1599_9, L40_1599_9) | left_apart_point(A39_1599_9, reverse_line(L40_1599_9)))
% 293.42/42.84 -> [21518] ~left_apart_point(A39_1599_9, L40_1599_9), ~left_apart_point(A39_1599_9, reverse_line(L40_1599_9))
% 293.42/42.84
% 293.42/42.84 [21518] CLOSURE : ~left_apart_point(A39_1599_9, L40_1599_9)
% 293.42/42.84
% 293.42/42.84 [21034] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_800_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_800_8)))
% 293.42/42.84 -> [21124] ~unequally_directed_lines(skolem_N7979, M38_800_8)
% 293.42/42.84 -> [21125] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_800_8))
% 293.42/42.84
% 293.42/42.84 [21124] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_800_8)
% 293.42/42.84
% 293.42/42.84 [21125] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_800_8))
% 293.42/42.84
% 293.42/42.84 [20656] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [21120] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84 -> [21121] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [21120] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [21121] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [21594] ((unequally_directed_lines(skolem_N7979, M38_845_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_845_8))) => (left_convergent_lines(skolem_N7979, M38_845_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_845_8))))
% 293.42/42.84
% 293.42/42.84 [21594] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_845_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_845_8))) => (left_convergent_lines(skolem_N7979, M38_845_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_845_8))))
% 293.42/42.84 -> [21595] ~(unequally_directed_lines(skolem_N7979, M38_845_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_845_8)))
% 293.42/42.84 -> [21596] (left_convergent_lines(skolem_N7979, M38_845_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_845_8)))
% 293.42/42.84
% 293.42/42.84 [21596] BETA_OR : (left_convergent_lines(skolem_N7979, M38_845_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_845_8)))
% 293.42/42.84 -> [21601] left_convergent_lines(skolem_N7979, M38_845_8)
% 293.42/42.84 -> [21602] left_convergent_lines(skolem_N7979, reverse_line(M38_845_8))
% 293.42/42.84
% 293.42/42.84 [21602] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [21841] ~(left_apart_point(A39_1652_9, L40_1652_9) | left_apart_point(A39_1652_9, reverse_line(L40_1652_9)))
% 293.42/42.84
% 293.42/42.84 [21841] ALPHA_NOT_OR : ~(left_apart_point(A39_1652_9, L40_1652_9) | left_apart_point(A39_1652_9, reverse_line(L40_1652_9)))
% 293.42/42.84 -> [21847] ~left_apart_point(A39_1652_9, L40_1652_9), ~left_apart_point(A39_1652_9, reverse_line(L40_1652_9))
% 293.42/42.84
% 293.42/42.84 [21847] CLOSURE : ~left_apart_point(A39_1652_9, L40_1652_9)
% 293.42/42.84
% 293.42/42.84 [21601] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [21900] ~(left_apart_point(A39_1666_9, L40_1666_9) | left_apart_point(A39_1666_9, reverse_line(L40_1666_9)))
% 293.42/42.84
% 293.42/42.84 [21900] ALPHA_NOT_OR : ~(left_apart_point(A39_1666_9, L40_1666_9) | left_apart_point(A39_1666_9, reverse_line(L40_1666_9)))
% 293.42/42.84 -> [21901] ~left_apart_point(A39_1666_9, L40_1666_9), ~left_apart_point(A39_1666_9, reverse_line(L40_1666_9))
% 293.42/42.84
% 293.42/42.84 [21901] CLOSURE : ~left_apart_point(A39_1666_9, L40_1666_9)
% 293.42/42.84
% 293.42/42.84 [21595] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_845_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_845_8)))
% 293.42/42.84 -> [21660] ~unequally_directed_lines(skolem_N7979, M38_845_8)
% 293.42/42.84 -> [21661] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_845_8))
% 293.42/42.84
% 293.42/42.84 [21661] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_845_8))
% 293.42/42.84
% 293.42/42.84 [21660] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_845_8)
% 293.42/42.84
% 293.42/42.84 [674] 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)))
% 293.42/42.84 -> [681] (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)))
% 293.42/42.84
% 293.42/42.84 [681] 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)))
% 293.42/42.84 -> [682] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 293.42/42.84 -> [683] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [682] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.84 -> [844] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.84
% 293.42/42.84 [844] 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))))
% 293.42/42.84 -> [1045] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.84
% 293.42/42.84 [1045] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.84 -> [1049] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.84 -> [1050] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.84
% 293.42/42.84 [1049] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.84
% 293.42/42.84 [1050] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.84 -> [4205] distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.84 -> [4206] distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.84
% 293.42/42.84 [4206] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.84
% 293.42/42.84 [4205] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.84 -> [5788] ~distinct_lines(M26_180_3, M26_180_3)
% 293.42/42.84
% 293.42/42.84 [5788] 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))))
% 293.42/42.84 -> [6002] (distinct_lines(M26_180_3, M26_180_3) => (distinct_lines(M26_180_3, M26_180_3) | distinct_lines(M26_180_3, M26_180_3)))
% 293.42/42.84
% 293.42/42.84 [6002] BETA_IMPLY : (distinct_lines(M26_180_3, M26_180_3) => (distinct_lines(M26_180_3, M26_180_3) | distinct_lines(M26_180_3, M26_180_3)))
% 293.42/42.84 -> [6005] ~distinct_lines(M26_180_3, M26_180_3)
% 293.42/42.84 -> [6006] (distinct_lines(M26_180_3, M26_180_3) | distinct_lines(M26_180_3, M26_180_3))
% 293.42/42.84
% 293.42/42.84 [6006] BETA_OR : (distinct_lines(M26_180_3, M26_180_3) | distinct_lines(M26_180_3, M26_180_3))
% 293.42/42.84 -> [6007] distinct_lines(M26_180_3, M26_180_3)
% 293.42/42.84 -> [6008] distinct_lines(M26_180_3, M26_180_3)
% 293.42/42.84
% 293.42/42.84 [6007] CLOSURE : distinct_lines(M26_180_3, M26_180_3)
% 293.42/42.84
% 293.42/42.84 [6008] CLOSURE : distinct_lines(M26_180_3, M26_180_3)
% 293.42/42.84
% 293.42/42.84 [6005] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.84 -> [6302] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [6302] 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))))
% 293.42/42.84 -> [6676] (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)))
% 293.42/42.84
% 293.42/42.84 [6676] 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)))
% 293.42/42.84 -> [6677] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84 -> [6678] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [6677] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [6678] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.84 -> [10760] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84 -> [10761] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [10760] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [10761] 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))))))
% 293.42/42.84 -> [16769] ((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)))))
% 293.42/42.84
% 293.42/42.84 [16769] 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)))))
% 293.42/42.84 -> [16774] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.84 -> [16775] ((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))))
% 293.42/42.84
% 293.42/42.84 [16774] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.84 -> [16797] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.84 -> [16798] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [16798] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [16797] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.84
% 293.42/42.84 [16775] 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))))
% 293.42/42.84 -> [20437] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [20438] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.84
% 293.42/42.84 [20437] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [20441] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [20441] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [20438] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [20439] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [20439] 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)))))
% 293.42/42.84 -> [20925] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.84
% 293.42/42.84 [20925] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.84 -> [20928] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.84 -> [20929] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84
% 293.42/42.84 [20929] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [20930] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84 -> [20931] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [20930] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [20931] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [21359] ((unequally_directed_lines(skolem_N7979, M38_832_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_832_8))) => (left_convergent_lines(skolem_N7979, M38_832_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_832_8))))
% 293.42/42.84
% 293.42/42.84 [21359] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_832_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_832_8))) => (left_convergent_lines(skolem_N7979, M38_832_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_832_8))))
% 293.42/42.84 -> [21363] ~(unequally_directed_lines(skolem_N7979, M38_832_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_832_8)))
% 293.42/42.84 -> [21364] (left_convergent_lines(skolem_N7979, M38_832_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_832_8)))
% 293.42/42.84
% 293.42/42.84 [21364] BETA_OR : (left_convergent_lines(skolem_N7979, M38_832_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_832_8)))
% 293.42/42.84 -> [21369] left_convergent_lines(skolem_N7979, M38_832_8)
% 293.42/42.84 -> [21370] left_convergent_lines(skolem_N7979, reverse_line(M38_832_8))
% 293.42/42.84
% 293.42/42.84 [21370] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [21815] ~(left_apart_point(A39_1649_9, L40_1649_9) | left_apart_point(A39_1649_9, reverse_line(L40_1649_9)))
% 293.42/42.84
% 293.42/42.84 [21815] ALPHA_NOT_OR : ~(left_apart_point(A39_1649_9, L40_1649_9) | left_apart_point(A39_1649_9, reverse_line(L40_1649_9)))
% 293.42/42.84 -> [21816] ~left_apart_point(A39_1649_9, L40_1649_9), ~left_apart_point(A39_1649_9, reverse_line(L40_1649_9))
% 293.42/42.84
% 293.42/42.84 [21816] CLOSURE : ~left_apart_point(A39_1649_9, L40_1649_9)
% 293.42/42.84
% 293.42/42.84 [21369] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [21863] ~(left_apart_point(A39_1658_9, L40_1658_9) | left_apart_point(A39_1658_9, reverse_line(L40_1658_9)))
% 293.42/42.84
% 293.42/42.84 [21863] ALPHA_NOT_OR : ~(left_apart_point(A39_1658_9, L40_1658_9) | left_apart_point(A39_1658_9, reverse_line(L40_1658_9)))
% 293.42/42.84 -> [21864] ~left_apart_point(A39_1658_9, L40_1658_9), ~left_apart_point(A39_1658_9, reverse_line(L40_1658_9))
% 293.42/42.84
% 293.42/42.84 [21864] CLOSURE : ~left_apart_point(A39_1658_9, L40_1658_9)
% 293.42/42.84
% 293.42/42.84 [21363] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_832_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_832_8)))
% 293.42/42.84 -> [21487] ~unequally_directed_lines(skolem_N7979, M38_832_8)
% 293.42/42.84 -> [21488] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_832_8))
% 293.42/42.84
% 293.42/42.84 [21487] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_832_8)
% 293.42/42.84
% 293.42/42.84 [21488] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_832_8))
% 293.42/42.84
% 293.42/42.84 [20928] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.84 -> [21012] ~line(skolem_M7878)
% 293.42/42.84 -> [21013] ~line(skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [21013] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [21349] ((unequally_directed_lines(skolem_N7979, M38_831_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_831_8))) => (left_convergent_lines(skolem_N7979, M38_831_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_831_8))))
% 293.42/42.84
% 293.42/42.84 [21349] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_831_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_831_8))) => (left_convergent_lines(skolem_N7979, M38_831_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_831_8))))
% 293.42/42.84 -> [21350] ~(unequally_directed_lines(skolem_N7979, M38_831_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_831_8)))
% 293.42/42.84 -> [21351] (left_convergent_lines(skolem_N7979, M38_831_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_831_8)))
% 293.42/42.84
% 293.42/42.84 [21350] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_831_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_831_8)))
% 293.42/42.84 -> [21479] ~unequally_directed_lines(skolem_N7979, M38_831_8)
% 293.42/42.84 -> [21480] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_831_8))
% 293.42/42.84
% 293.42/42.84 [21480] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_831_8))
% 293.42/42.84
% 293.42/42.84 [21479] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_831_8)
% 293.42/42.84
% 293.42/42.84 [21351] BETA_OR : (left_convergent_lines(skolem_N7979, M38_831_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_831_8)))
% 293.42/42.84 -> [21354] left_convergent_lines(skolem_N7979, M38_831_8)
% 293.42/42.84 -> [21355] left_convergent_lines(skolem_N7979, reverse_line(M38_831_8))
% 293.42/42.84
% 293.42/42.84 [21354] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [21855] ~(left_apart_point(A39_1656_9, L40_1656_9) | left_apart_point(A39_1656_9, reverse_line(L40_1656_9)))
% 293.42/42.84
% 293.42/42.84 [21855] ALPHA_NOT_OR : ~(left_apart_point(A39_1656_9, L40_1656_9) | left_apart_point(A39_1656_9, reverse_line(L40_1656_9)))
% 293.42/42.84 -> [21858] ~left_apart_point(A39_1656_9, L40_1656_9), ~left_apart_point(A39_1656_9, reverse_line(L40_1656_9))
% 293.42/42.84
% 293.42/42.84 [21858] CLOSURE : ~left_apart_point(A39_1656_9, L40_1656_9)
% 293.42/42.84
% 293.42/42.84 [21355] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [21859] ~(left_apart_point(A39_1657_9, L40_1657_9) | left_apart_point(A39_1657_9, reverse_line(L40_1657_9)))
% 293.42/42.84
% 293.42/42.84 [21859] ALPHA_NOT_OR : ~(left_apart_point(A39_1657_9, L40_1657_9) | left_apart_point(A39_1657_9, reverse_line(L40_1657_9)))
% 293.42/42.84 -> [21860] ~left_apart_point(A39_1657_9, L40_1657_9), ~left_apart_point(A39_1657_9, reverse_line(L40_1657_9))
% 293.42/42.84
% 293.42/42.84 [21860] CLOSURE : ~left_apart_point(A39_1657_9, L40_1657_9)
% 293.42/42.84
% 293.42/42.84 [21012] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [21466] ((unequally_directed_lines(skolem_N7979, M38_838_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_838_8))) => (left_convergent_lines(skolem_N7979, M38_838_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_838_8))))
% 293.42/42.84
% 293.42/42.84 [21466] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_838_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_838_8))) => (left_convergent_lines(skolem_N7979, M38_838_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_838_8))))
% 293.42/42.84 -> [21467] ~(unequally_directed_lines(skolem_N7979, M38_838_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_838_8)))
% 293.42/42.84 -> [21468] (left_convergent_lines(skolem_N7979, M38_838_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_838_8)))
% 293.42/42.84
% 293.42/42.84 [21467] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_838_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_838_8)))
% 293.42/42.84 -> [21606] ~unequally_directed_lines(skolem_N7979, M38_838_8)
% 293.42/42.84 -> [21607] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_838_8))
% 293.42/42.84
% 293.42/42.84 [21607] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_838_8))
% 293.42/42.84
% 293.42/42.84 [21606] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_838_8)
% 293.42/42.84
% 293.42/42.84 [21468] BETA_OR : (left_convergent_lines(skolem_N7979, M38_838_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_838_8)))
% 293.42/42.84 -> [21471] left_convergent_lines(skolem_N7979, M38_838_8)
% 293.42/42.84 -> [21472] left_convergent_lines(skolem_N7979, reverse_line(M38_838_8))
% 293.42/42.84
% 293.42/42.84 [21472] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [21849] ~(left_apart_point(A39_1654_9, L40_1654_9) | left_apart_point(A39_1654_9, reverse_line(L40_1654_9)))
% 293.42/42.84
% 293.42/42.84 [21849] ALPHA_NOT_OR : ~(left_apart_point(A39_1654_9, L40_1654_9) | left_apart_point(A39_1654_9, reverse_line(L40_1654_9)))
% 293.42/42.84 -> [21852] ~left_apart_point(A39_1654_9, L40_1654_9), ~left_apart_point(A39_1654_9, reverse_line(L40_1654_9))
% 293.42/42.84
% 293.42/42.84 [21852] CLOSURE : ~left_apart_point(A39_1654_9, L40_1654_9)
% 293.42/42.84
% 293.42/42.84 [21471] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [21987] ~(left_apart_point(A39_1674_9, L40_1674_9) | left_apart_point(A39_1674_9, reverse_line(L40_1674_9)))
% 293.42/42.84
% 293.42/42.84 [21987] ALPHA_NOT_OR : ~(left_apart_point(A39_1674_9, L40_1674_9) | left_apart_point(A39_1674_9, reverse_line(L40_1674_9)))
% 293.42/42.84 -> [21991] ~left_apart_point(A39_1674_9, L40_1674_9), ~left_apart_point(A39_1674_9, reverse_line(L40_1674_9))
% 293.42/42.84
% 293.42/42.84 [21991] CLOSURE : ~left_apart_point(A39_1674_9, L40_1674_9)
% 293.42/42.84
% 293.42/42.84 [683] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.84 -> [788] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.84
% 293.42/42.84 [788] 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))))
% 293.42/42.84 -> [989] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.84
% 293.42/42.84 [989] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.84 -> [990] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.84 -> [991] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.84
% 293.42/42.84 [990] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.84
% 293.42/42.84 [991] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.84 -> [5396] distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.84 -> [5397] distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.84
% 293.42/42.84 [5397] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.84
% 293.42/42.84 [5396] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.84 -> [6515] ~distinct_lines(N27_214_3, N27_214_3)
% 293.42/42.84
% 293.42/42.84 [6515] 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))))
% 293.42/42.84 -> [6757] (distinct_lines(N27_214_3, N27_214_3) => (distinct_lines(N27_214_3, N27_214_3) | distinct_lines(N27_214_3, N27_214_3)))
% 293.42/42.84
% 293.42/42.84 [6757] BETA_IMPLY : (distinct_lines(N27_214_3, N27_214_3) => (distinct_lines(N27_214_3, N27_214_3) | distinct_lines(N27_214_3, N27_214_3)))
% 293.42/42.84 -> [6758] ~distinct_lines(N27_214_3, N27_214_3)
% 293.42/42.84 -> [6759] (distinct_lines(N27_214_3, N27_214_3) | distinct_lines(N27_214_3, N27_214_3))
% 293.42/42.84
% 293.42/42.84 [6759] BETA_OR : (distinct_lines(N27_214_3, N27_214_3) | distinct_lines(N27_214_3, N27_214_3))
% 293.42/42.84 -> [6767] distinct_lines(N27_214_3, N27_214_3)
% 293.42/42.84 -> [6768] distinct_lines(N27_214_3, N27_214_3)
% 293.42/42.84
% 293.42/42.84 [6768] CLOSURE : distinct_lines(N27_214_3, N27_214_3)
% 293.42/42.84
% 293.42/42.84 [6767] CLOSURE : distinct_lines(N27_214_3, N27_214_3)
% 293.42/42.84
% 293.42/42.84 [6758] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.84 -> [7806] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [7806] 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))))
% 293.42/42.84 -> [7933] (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)))
% 293.42/42.84
% 293.42/42.84 [7933] 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)))
% 293.42/42.84 -> [7934] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84 -> [7935] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [7934] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [7935] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.84 -> [11325] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84 -> [11326] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [11325] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [11326] 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))))))
% 293.42/42.84 -> [14442] ((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)))))
% 293.42/42.84
% 293.42/42.84 [14442] 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)))))
% 293.42/42.84 -> [14447] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.84 -> [14448] ((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))))
% 293.42/42.84
% 293.42/42.84 [14447] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.84 -> [14489] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.84 -> [14490] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [14490] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [14489] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.84
% 293.42/42.84 [14448] 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))))
% 293.42/42.84 -> [23596] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [23597] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.84
% 293.42/42.84 [23596] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [23607] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [23607] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [23597] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [23600] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [23600] 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)))))
% 293.42/42.84 -> [23644] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.84
% 293.42/42.84 [23644] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.84 -> [23647] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.84 -> [23648] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84
% 293.42/42.84 [23648] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [23652] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84 -> [23653] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [23652] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [23653] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [23692] ((unequally_directed_lines(skolem_N7979, M38_983_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_983_8))) => (left_convergent_lines(skolem_N7979, M38_983_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_983_8))))
% 293.42/42.84
% 293.42/42.84 [23692] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_983_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_983_8))) => (left_convergent_lines(skolem_N7979, M38_983_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_983_8))))
% 293.42/42.84 -> [23694] ~(unequally_directed_lines(skolem_N7979, M38_983_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_983_8)))
% 293.42/42.84 -> [23695] (left_convergent_lines(skolem_N7979, M38_983_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_983_8)))
% 293.42/42.84
% 293.42/42.84 [23695] BETA_OR : (left_convergent_lines(skolem_N7979, M38_983_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_983_8)))
% 293.42/42.84 -> [23698] left_convergent_lines(skolem_N7979, M38_983_8)
% 293.42/42.84 -> [23699] left_convergent_lines(skolem_N7979, reverse_line(M38_983_8))
% 293.42/42.84
% 293.42/42.84 [23699] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [23781] ~(left_apart_point(A39_1922_9, L40_1922_9) | left_apart_point(A39_1922_9, reverse_line(L40_1922_9)))
% 293.42/42.84
% 293.42/42.84 [23781] ALPHA_NOT_OR : ~(left_apart_point(A39_1922_9, L40_1922_9) | left_apart_point(A39_1922_9, reverse_line(L40_1922_9)))
% 293.42/42.84 -> [23787] ~left_apart_point(A39_1922_9, L40_1922_9), ~left_apart_point(A39_1922_9, reverse_line(L40_1922_9))
% 293.42/42.84
% 293.42/42.84 [23787] CLOSURE : ~left_apart_point(A39_1922_9, L40_1922_9)
% 293.42/42.84
% 293.42/42.84 [23698] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [23798] ~(left_apart_point(A39_1925_9, L40_1925_9) | left_apart_point(A39_1925_9, reverse_line(L40_1925_9)))
% 293.42/42.84
% 293.42/42.84 [23798] ALPHA_NOT_OR : ~(left_apart_point(A39_1925_9, L40_1925_9) | left_apart_point(A39_1925_9, reverse_line(L40_1925_9)))
% 293.42/42.84 -> [23799] ~left_apart_point(A39_1925_9, L40_1925_9), ~left_apart_point(A39_1925_9, reverse_line(L40_1925_9))
% 293.42/42.84
% 293.42/42.84 [23799] CLOSURE : ~left_apart_point(A39_1925_9, L40_1925_9)
% 293.42/42.84
% 293.42/42.84 [23694] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_983_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_983_8)))
% 293.42/42.84 -> [23721] ~unequally_directed_lines(skolem_N7979, M38_983_8)
% 293.42/42.84 -> [23722] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_983_8))
% 293.42/42.84
% 293.42/42.84 [23722] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_983_8))
% 293.42/42.84
% 293.42/42.84 [23721] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_983_8)
% 293.42/42.84
% 293.42/42.84 [23647] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.84 -> [23659] ~line(skolem_M7878)
% 293.42/42.84 -> [23660] ~line(skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [23660] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [23681] ((unequally_directed_lines(skolem_N7979, M38_982_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_982_8))) => (left_convergent_lines(skolem_N7979, M38_982_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_982_8))))
% 293.42/42.84
% 293.42/42.84 [23681] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_982_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_982_8))) => (left_convergent_lines(skolem_N7979, M38_982_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_982_8))))
% 293.42/42.84 -> [23683] ~(unequally_directed_lines(skolem_N7979, M38_982_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_982_8)))
% 293.42/42.84 -> [23684] (left_convergent_lines(skolem_N7979, M38_982_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_982_8)))
% 293.42/42.84
% 293.42/42.84 [23684] BETA_OR : (left_convergent_lines(skolem_N7979, M38_982_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_982_8)))
% 293.42/42.84 -> [23688] left_convergent_lines(skolem_N7979, M38_982_8)
% 293.42/42.84 -> [23689] left_convergent_lines(skolem_N7979, reverse_line(M38_982_8))
% 293.42/42.84
% 293.42/42.84 [23689] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [23768] ~(left_apart_point(A39_1918_9, L40_1918_9) | left_apart_point(A39_1918_9, reverse_line(L40_1918_9)))
% 293.42/42.84
% 293.42/42.84 [23768] ALPHA_NOT_OR : ~(left_apart_point(A39_1918_9, L40_1918_9) | left_apart_point(A39_1918_9, reverse_line(L40_1918_9)))
% 293.42/42.84 -> [23771] ~left_apart_point(A39_1918_9, L40_1918_9), ~left_apart_point(A39_1918_9, reverse_line(L40_1918_9))
% 293.42/42.84
% 293.42/42.84 [23771] CLOSURE : ~left_apart_point(A39_1918_9, L40_1918_9)
% 293.42/42.84
% 293.42/42.84 [23688] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [23790] ~(left_apart_point(A39_1923_9, L40_1923_9) | left_apart_point(A39_1923_9, reverse_line(L40_1923_9)))
% 293.42/42.84
% 293.42/42.84 [23790] ALPHA_NOT_OR : ~(left_apart_point(A39_1923_9, L40_1923_9) | left_apart_point(A39_1923_9, reverse_line(L40_1923_9)))
% 293.42/42.84 -> [23793] ~left_apart_point(A39_1923_9, L40_1923_9), ~left_apart_point(A39_1923_9, reverse_line(L40_1923_9))
% 293.42/42.84
% 293.42/42.84 [23793] CLOSURE : ~left_apart_point(A39_1923_9, L40_1923_9)
% 293.42/42.84
% 293.42/42.84 [23683] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_982_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_982_8)))
% 293.42/42.84 -> [23710] ~unequally_directed_lines(skolem_N7979, M38_982_8)
% 293.42/42.84 -> [23711] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_982_8))
% 293.42/42.84
% 293.42/42.84 [23711] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_982_8))
% 293.42/42.84
% 293.42/42.84 [23710] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_982_8)
% 293.42/42.84
% 293.42/42.84 [23659] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [23702] ((unequally_directed_lines(skolem_N7979, M38_985_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_985_8))) => (left_convergent_lines(skolem_N7979, M38_985_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_985_8))))
% 293.42/42.84
% 293.42/42.84 [23702] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_985_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_985_8))) => (left_convergent_lines(skolem_N7979, M38_985_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_985_8))))
% 293.42/42.84 -> [23703] ~(unequally_directed_lines(skolem_N7979, M38_985_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_985_8)))
% 293.42/42.84 -> [23704] (left_convergent_lines(skolem_N7979, M38_985_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_985_8)))
% 293.42/42.84
% 293.42/42.84 [23704] BETA_OR : (left_convergent_lines(skolem_N7979, M38_985_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_985_8)))
% 293.42/42.84 -> [23707] left_convergent_lines(skolem_N7979, M38_985_8)
% 293.42/42.84 -> [23708] left_convergent_lines(skolem_N7979, reverse_line(M38_985_8))
% 293.42/42.84
% 293.42/42.84 [23708] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [23794] ~(left_apart_point(A39_1924_9, L40_1924_9) | left_apart_point(A39_1924_9, reverse_line(L40_1924_9)))
% 293.42/42.84
% 293.42/42.84 [23794] ALPHA_NOT_OR : ~(left_apart_point(A39_1924_9, L40_1924_9) | left_apart_point(A39_1924_9, reverse_line(L40_1924_9)))
% 293.42/42.84 -> [23797] ~left_apart_point(A39_1924_9, L40_1924_9), ~left_apart_point(A39_1924_9, reverse_line(L40_1924_9))
% 293.42/42.84
% 293.42/42.84 [23797] CLOSURE : ~left_apart_point(A39_1924_9, L40_1924_9)
% 293.42/42.84
% 293.42/42.84 [23707] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [23810] ~(left_apart_point(A39_1926_9, L40_1926_9) | left_apart_point(A39_1926_9, reverse_line(L40_1926_9)))
% 293.42/42.84
% 293.42/42.84 [23810] ALPHA_NOT_OR : ~(left_apart_point(A39_1926_9, L40_1926_9) | left_apart_point(A39_1926_9, reverse_line(L40_1926_9)))
% 293.42/42.84 -> [23814] ~left_apart_point(A39_1926_9, L40_1926_9), ~left_apart_point(A39_1926_9, reverse_line(L40_1926_9))
% 293.42/42.84
% 293.42/42.84 [23814] CLOSURE : ~left_apart_point(A39_1926_9, L40_1926_9)
% 293.42/42.84
% 293.42/42.84 [23703] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_985_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_985_8)))
% 293.42/42.84 -> [23731] ~unequally_directed_lines(skolem_N7979, M38_985_8)
% 293.42/42.84 -> [23732] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_985_8))
% 293.42/42.84
% 293.42/42.84 [23732] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_985_8))
% 293.42/42.84
% 293.42/42.84 [23731] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_985_8)
% 293.42/42.84
% 293.42/42.84 [251] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.42/42.84 -> [413] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.84 -> [414] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.84
% 293.42/42.84 [414] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.84 -> [422] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.84
% 293.42/42.84 [422] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.42/42.84 -> [424] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))
% 293.42/42.84 -> [425] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.84
% 293.42/42.84 [424] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.84 -> [807] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.42/42.84 -> [808] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [807] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.84 -> [1054] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.84
% 293.42/42.84 [1054] 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))))
% 293.42/42.84 -> [1669] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.84
% 293.42/42.84 [1669] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.84 -> [1670] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.84 -> [1671] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.84
% 293.42/42.84 [1670] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.84
% 293.42/42.84 [1671] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.84 -> [5219] distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.84 -> [5220] distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.84
% 293.42/42.84 [5220] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.84
% 293.42/42.84 [5219] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.84 -> [6074] ~distinct_lines(N27_193_3, N27_193_3)
% 293.42/42.84
% 293.42/42.84 [6074] 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))))
% 293.42/42.84 -> [6210] (distinct_lines(N27_193_3, N27_193_3) => (distinct_lines(N27_193_3, N27_193_3) | distinct_lines(N27_193_3, N27_193_3)))
% 293.42/42.84
% 293.42/42.84 [6210] BETA_IMPLY : (distinct_lines(N27_193_3, N27_193_3) => (distinct_lines(N27_193_3, N27_193_3) | distinct_lines(N27_193_3, N27_193_3)))
% 293.42/42.84 -> [6214] ~distinct_lines(N27_193_3, N27_193_3)
% 293.42/42.84 -> [6215] (distinct_lines(N27_193_3, N27_193_3) | distinct_lines(N27_193_3, N27_193_3))
% 293.42/42.84
% 293.42/42.84 [6215] BETA_OR : (distinct_lines(N27_193_3, N27_193_3) | distinct_lines(N27_193_3, N27_193_3))
% 293.42/42.84 -> [6227] distinct_lines(N27_193_3, N27_193_3)
% 293.42/42.84 -> [6228] distinct_lines(N27_193_3, N27_193_3)
% 293.42/42.84
% 293.42/42.84 [6228] CLOSURE : distinct_lines(N27_193_3, N27_193_3)
% 293.42/42.84
% 293.42/42.84 [6227] CLOSURE : distinct_lines(N27_193_3, N27_193_3)
% 293.42/42.84
% 293.42/42.84 [6214] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.84 -> [6425] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [6425] 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))))
% 293.42/42.84 -> [6904] (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)))
% 293.42/42.84
% 293.42/42.84 [6904] 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)))
% 293.42/42.84 -> [6905] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84 -> [6906] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [6905] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [6906] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.84 -> [11615] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84 -> [11616] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [11615] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [11616] 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))))))
% 293.42/42.84 -> [15171] ((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)))))
% 293.42/42.84
% 293.42/42.84 [15171] 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)))))
% 293.42/42.84 -> [15174] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.84 -> [15175] ((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))))
% 293.42/42.84
% 293.42/42.84 [15174] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.84 -> [15215] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.84 -> [15216] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [15216] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [15215] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.84
% 293.42/42.84 [15175] 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))))
% 293.42/42.84 -> [17000] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [17001] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.84
% 293.42/42.84 [17000] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [17307] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [17307] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [17001] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [17053] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [17053] 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)))))
% 293.42/42.84 -> [17223] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.84
% 293.42/42.84 [17223] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.84 -> [17224] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.84 -> [17225] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84
% 293.42/42.84 [17224] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.84 -> [17258] ~line(skolem_M7878)
% 293.42/42.84 -> [17259] ~line(skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [17259] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [17370] ((unequally_directed_lines(skolem_N7979, M38_577_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_577_8))) => (left_convergent_lines(skolem_N7979, M38_577_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_577_8))))
% 293.42/42.84
% 293.42/42.84 [17370] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_577_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_577_8))) => (left_convergent_lines(skolem_N7979, M38_577_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_577_8))))
% 293.42/42.84 -> [17371] ~(unequally_directed_lines(skolem_N7979, M38_577_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_577_8)))
% 293.42/42.84 -> [17372] (left_convergent_lines(skolem_N7979, M38_577_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_577_8)))
% 293.42/42.84
% 293.42/42.84 [17372] BETA_OR : (left_convergent_lines(skolem_N7979, M38_577_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_577_8)))
% 293.42/42.84 -> [17376] left_convergent_lines(skolem_N7979, M38_577_8)
% 293.42/42.84 -> [17377] left_convergent_lines(skolem_N7979, reverse_line(M38_577_8))
% 293.42/42.84
% 293.42/42.84 [17377] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [17459] ~(left_apart_point(A39_1094_9, L40_1094_9) | left_apart_point(A39_1094_9, reverse_line(L40_1094_9)))
% 293.42/42.84
% 293.42/42.84 [17459] ALPHA_NOT_OR : ~(left_apart_point(A39_1094_9, L40_1094_9) | left_apart_point(A39_1094_9, reverse_line(L40_1094_9)))
% 293.42/42.84 -> [17463] ~left_apart_point(A39_1094_9, L40_1094_9), ~left_apart_point(A39_1094_9, reverse_line(L40_1094_9))
% 293.42/42.84
% 293.42/42.84 [17463] CLOSURE : ~left_apart_point(A39_1094_9, L40_1094_9)
% 293.42/42.84
% 293.42/42.84 [17376] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [17493] ~(left_apart_point(A39_1101_9, L40_1101_9) | left_apart_point(A39_1101_9, reverse_line(L40_1101_9)))
% 293.42/42.84
% 293.42/42.84 [17493] ALPHA_NOT_OR : ~(left_apart_point(A39_1101_9, L40_1101_9) | left_apart_point(A39_1101_9, reverse_line(L40_1101_9)))
% 293.42/42.84 -> [17494] ~left_apart_point(A39_1101_9, L40_1101_9), ~left_apart_point(A39_1101_9, reverse_line(L40_1101_9))
% 293.42/42.84
% 293.42/42.84 [17494] CLOSURE : ~left_apart_point(A39_1101_9, L40_1101_9)
% 293.42/42.84
% 293.42/42.84 [17371] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_577_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_577_8)))
% 293.42/42.84 -> [17393] ~unequally_directed_lines(skolem_N7979, M38_577_8)
% 293.42/42.84 -> [17394] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_577_8))
% 293.42/42.84
% 293.42/42.84 [17394] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_577_8))
% 293.42/42.84
% 293.42/42.84 [17393] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_577_8)
% 293.42/42.84
% 293.42/42.84 [17258] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [17382] ((unequally_directed_lines(skolem_N7979, M38_579_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_579_8))) => (left_convergent_lines(skolem_N7979, M38_579_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_579_8))))
% 293.42/42.84
% 293.42/42.84 [17382] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_579_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_579_8))) => (left_convergent_lines(skolem_N7979, M38_579_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_579_8))))
% 293.42/42.84 -> [17385] ~(unequally_directed_lines(skolem_N7979, M38_579_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_579_8)))
% 293.42/42.84 -> [17386] (left_convergent_lines(skolem_N7979, M38_579_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_579_8)))
% 293.42/42.84
% 293.42/42.84 [17386] BETA_OR : (left_convergent_lines(skolem_N7979, M38_579_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_579_8)))
% 293.42/42.84 -> [17389] left_convergent_lines(skolem_N7979, M38_579_8)
% 293.42/42.84 -> [17390] left_convergent_lines(skolem_N7979, reverse_line(M38_579_8))
% 293.42/42.84
% 293.42/42.84 [17390] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [17480] ~(left_apart_point(A39_1097_9, L40_1097_9) | left_apart_point(A39_1097_9, reverse_line(L40_1097_9)))
% 293.42/42.84
% 293.42/42.84 [17480] ALPHA_NOT_OR : ~(left_apart_point(A39_1097_9, L40_1097_9) | left_apart_point(A39_1097_9, reverse_line(L40_1097_9)))
% 293.42/42.84 -> [17483] ~left_apart_point(A39_1097_9, L40_1097_9), ~left_apart_point(A39_1097_9, reverse_line(L40_1097_9))
% 293.42/42.84
% 293.42/42.84 [17483] CLOSURE : ~left_apart_point(A39_1097_9, L40_1097_9)
% 293.42/42.84
% 293.42/42.84 [17389] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [17509] ~(left_apart_point(A39_1105_9, L40_1105_9) | left_apart_point(A39_1105_9, reverse_line(L40_1105_9)))
% 293.42/42.84
% 293.42/42.84 [17509] ALPHA_NOT_OR : ~(left_apart_point(A39_1105_9, L40_1105_9) | left_apart_point(A39_1105_9, reverse_line(L40_1105_9)))
% 293.42/42.84 -> [17513] ~left_apart_point(A39_1105_9, L40_1105_9), ~left_apart_point(A39_1105_9, reverse_line(L40_1105_9))
% 293.42/42.84
% 293.42/42.84 [17513] CLOSURE : ~left_apart_point(A39_1105_9, L40_1105_9)
% 293.42/42.84
% 293.42/42.84 [17385] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_579_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_579_8)))
% 293.42/42.84 -> [17403] ~unequally_directed_lines(skolem_N7979, M38_579_8)
% 293.42/42.84 -> [17404] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_579_8))
% 293.42/42.84
% 293.42/42.84 [17404] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_579_8))
% 293.42/42.84
% 293.42/42.84 [17403] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_579_8)
% 293.42/42.84
% 293.42/42.84 [17225] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [17230] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84 -> [17231] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [17230] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [17231] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [17420] ((unequally_directed_lines(skolem_N7979, M38_581_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_581_8))) => (left_convergent_lines(skolem_N7979, M38_581_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_581_8))))
% 293.42/42.84
% 293.42/42.84 [17420] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_581_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_581_8))) => (left_convergent_lines(skolem_N7979, M38_581_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_581_8))))
% 293.42/42.84 -> [17422] ~(unequally_directed_lines(skolem_N7979, M38_581_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_581_8)))
% 293.42/42.84 -> [17423] (left_convergent_lines(skolem_N7979, M38_581_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_581_8)))
% 293.42/42.84
% 293.42/42.84 [17422] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_581_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_581_8)))
% 293.42/42.84 -> [17444] ~unequally_directed_lines(skolem_N7979, M38_581_8)
% 293.42/42.84 -> [17445] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_581_8))
% 293.42/42.84
% 293.42/42.84 [17445] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_581_8))
% 293.42/42.84
% 293.42/42.84 [17444] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_581_8)
% 293.42/42.84
% 293.42/42.84 [17423] BETA_OR : (left_convergent_lines(skolem_N7979, M38_581_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_581_8)))
% 293.42/42.84 -> [17427] left_convergent_lines(skolem_N7979, M38_581_8)
% 293.42/42.84 -> [17428] left_convergent_lines(skolem_N7979, reverse_line(M38_581_8))
% 293.42/42.84
% 293.42/42.84 [17427] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [17549] ~(left_apart_point(A39_1115_9, L40_1115_9) | left_apart_point(A39_1115_9, reverse_line(L40_1115_9)))
% 293.42/42.84
% 293.42/42.84 [17549] ALPHA_NOT_OR : ~(left_apart_point(A39_1115_9, L40_1115_9) | left_apart_point(A39_1115_9, reverse_line(L40_1115_9)))
% 293.42/42.84 -> [17553] ~left_apart_point(A39_1115_9, L40_1115_9), ~left_apart_point(A39_1115_9, reverse_line(L40_1115_9))
% 293.42/42.84
% 293.42/42.84 [17553] CLOSURE : ~left_apart_point(A39_1115_9, L40_1115_9)
% 293.42/42.84
% 293.42/42.84 [17428] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [17528] ~(left_apart_point(A39_1110_9, L40_1110_9) | left_apart_point(A39_1110_9, reverse_line(L40_1110_9)))
% 293.42/42.84
% 293.42/42.84 [17528] ALPHA_NOT_OR : ~(left_apart_point(A39_1110_9, L40_1110_9) | left_apart_point(A39_1110_9, reverse_line(L40_1110_9)))
% 293.42/42.84 -> [17532] ~left_apart_point(A39_1110_9, L40_1110_9), ~left_apart_point(A39_1110_9, reverse_line(L40_1110_9))
% 293.42/42.84
% 293.42/42.84 [17532] CLOSURE : ~left_apart_point(A39_1110_9, L40_1110_9)
% 293.42/42.84
% 293.42/42.84 [808] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.84 -> [1016] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.84
% 293.42/42.84 [1016] 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))))
% 293.42/42.84 -> [1628] (distinct_points(skolem_C8282, skolem_B8181) => (distinct_points(skolem_C8282, skolem_B8181) | distinct_points(skolem_B8181, skolem_B8181)))
% 293.42/42.84
% 293.42/42.84 [1628] BETA_IMPLY : (distinct_points(skolem_C8282, skolem_B8181) => (distinct_points(skolem_C8282, skolem_B8181) | distinct_points(skolem_B8181, skolem_B8181)))
% 293.42/42.84 -> [1631] ~distinct_points(skolem_C8282, skolem_B8181)
% 293.42/42.84 -> [1632] (distinct_points(skolem_C8282, skolem_B8181) | distinct_points(skolem_B8181, skolem_B8181))
% 293.42/42.84
% 293.42/42.84 [1631] CLOSURE : ~distinct_points(skolem_C8282, skolem_B8181)
% 293.42/42.84
% 293.42/42.84 [1632] BETA_OR : (distinct_points(skolem_C8282, skolem_B8181) | distinct_points(skolem_B8181, skolem_B8181))
% 293.42/42.84 -> [5439] distinct_points(skolem_C8282, skolem_B8181)
% 293.42/42.84 -> [5440] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.84
% 293.42/42.84 [5440] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.84
% 293.42/42.84 [5439] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.84 -> [6731] ~distinct_lines(N27_228_3, N27_228_3)
% 293.42/42.84
% 293.42/42.84 [6731] 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))))
% 293.42/42.84 -> [7083] (distinct_lines(N27_228_3, N27_228_3) => (distinct_lines(N27_228_3, N27_228_3) | distinct_lines(N27_228_3, N27_228_3)))
% 293.42/42.84
% 293.42/42.84 [7083] BETA_IMPLY : (distinct_lines(N27_228_3, N27_228_3) => (distinct_lines(N27_228_3, N27_228_3) | distinct_lines(N27_228_3, N27_228_3)))
% 293.42/42.84 -> [7084] ~distinct_lines(N27_228_3, N27_228_3)
% 293.42/42.84 -> [7085] (distinct_lines(N27_228_3, N27_228_3) | distinct_lines(N27_228_3, N27_228_3))
% 293.42/42.84
% 293.42/42.84 [7085] BETA_OR : (distinct_lines(N27_228_3, N27_228_3) | distinct_lines(N27_228_3, N27_228_3))
% 293.42/42.84 -> [7086] distinct_lines(N27_228_3, N27_228_3)
% 293.42/42.84 -> [7087] distinct_lines(N27_228_3, N27_228_3)
% 293.42/42.84
% 293.42/42.84 [7086] CLOSURE : distinct_lines(N27_228_3, N27_228_3)
% 293.42/42.84
% 293.42/42.84 [7087] CLOSURE : distinct_lines(N27_228_3, N27_228_3)
% 293.42/42.84
% 293.42/42.84 [7084] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.84 -> [7392] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [7392] 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))))
% 293.42/42.84 -> [8656] (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)))
% 293.42/42.84
% 293.42/42.84 [8656] 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)))
% 293.42/42.84 -> [8659] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84 -> [8660] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [8659] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [8660] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.84 -> [11958] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84 -> [11959] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [11958] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [11959] 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))))))
% 293.42/42.84 -> [16026] ((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)))))
% 293.42/42.84
% 293.42/42.84 [16026] 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)))))
% 293.42/42.84 -> [16035] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.84 -> [16036] ((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))))
% 293.42/42.84
% 293.42/42.84 [16035] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.84 -> [16200] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.84 -> [16201] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [16201] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [16200] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.84
% 293.42/42.84 [16036] 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))))
% 293.42/42.84 -> [25301] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [25302] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.84
% 293.42/42.84 [25301] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [25315] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [25315] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [25302] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [25308] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [25308] 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)))))
% 293.42/42.84 -> [25329] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.84
% 293.42/42.84 [25329] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.84 -> [25332] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.84 -> [25333] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84
% 293.42/42.84 [25333] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [25334] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84 -> [25335] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [25334] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [25335] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [25399] ((unequally_directed_lines(skolem_N7979, M38_1105_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1105_8))) => (left_convergent_lines(skolem_N7979, M38_1105_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1105_8))))
% 293.42/42.84
% 293.42/42.84 [25399] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1105_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1105_8))) => (left_convergent_lines(skolem_N7979, M38_1105_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1105_8))))
% 293.42/42.84 -> [25403] ~(unequally_directed_lines(skolem_N7979, M38_1105_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1105_8)))
% 293.42/42.84 -> [25404] (left_convergent_lines(skolem_N7979, M38_1105_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1105_8)))
% 293.42/42.84
% 293.42/42.84 [25404] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1105_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1105_8)))
% 293.42/42.84 -> [25407] left_convergent_lines(skolem_N7979, M38_1105_8)
% 293.42/42.84 -> [25408] left_convergent_lines(skolem_N7979, reverse_line(M38_1105_8))
% 293.42/42.84
% 293.42/42.84 [25408] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [25418] ~(left_apart_point(A39_2167_9, L40_2167_9) | left_apart_point(A39_2167_9, reverse_line(L40_2167_9)))
% 293.42/42.84
% 293.42/42.84 [25418] ALPHA_NOT_OR : ~(left_apart_point(A39_2167_9, L40_2167_9) | left_apart_point(A39_2167_9, reverse_line(L40_2167_9)))
% 293.42/42.84 -> [25421] ~left_apart_point(A39_2167_9, L40_2167_9), ~left_apart_point(A39_2167_9, reverse_line(L40_2167_9))
% 293.42/42.84
% 293.42/42.84 [25421] CLOSURE : ~left_apart_point(A39_2167_9, L40_2167_9)
% 293.42/42.84
% 293.42/42.84 [25407] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [25422] ~(left_apart_point(A39_2168_9, L40_2168_9) | left_apart_point(A39_2168_9, reverse_line(L40_2168_9)))
% 293.42/42.84
% 293.42/42.84 [25422] ALPHA_NOT_OR : ~(left_apart_point(A39_2168_9, L40_2168_9) | left_apart_point(A39_2168_9, reverse_line(L40_2168_9)))
% 293.42/42.84 -> [25425] ~left_apart_point(A39_2168_9, L40_2168_9), ~left_apart_point(A39_2168_9, reverse_line(L40_2168_9))
% 293.42/42.84
% 293.42/42.84 [25425] CLOSURE : ~left_apart_point(A39_2168_9, L40_2168_9)
% 293.42/42.84
% 293.42/42.84 [25403] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1105_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1105_8)))
% 293.42/42.84 -> [25412] ~unequally_directed_lines(skolem_N7979, M38_1105_8)
% 293.42/42.84 -> [25413] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1105_8))
% 293.42/42.84
% 293.42/42.84 [25413] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1105_8))
% 293.42/42.84
% 293.42/42.84 [25412] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1105_8)
% 293.42/42.84
% 293.42/42.84 [25332] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.84 -> [25338] ~line(skolem_M7878)
% 293.42/42.84 -> [25339] ~line(skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [25338] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [25435] ((unequally_directed_lines(skolem_N7979, M38_1106_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1106_8))) => (left_convergent_lines(skolem_N7979, M38_1106_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1106_8))))
% 293.42/42.84
% 293.42/42.84 [25435] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1106_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1106_8))) => (left_convergent_lines(skolem_N7979, M38_1106_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1106_8))))
% 293.42/42.84 -> [25436] ~(unequally_directed_lines(skolem_N7979, M38_1106_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1106_8)))
% 293.42/42.84 -> [25437] (left_convergent_lines(skolem_N7979, M38_1106_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1106_8)))
% 293.42/42.84
% 293.42/42.84 [25437] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1106_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1106_8)))
% 293.42/42.84 -> [25440] left_convergent_lines(skolem_N7979, M38_1106_8)
% 293.42/42.84 -> [25441] left_convergent_lines(skolem_N7979, reverse_line(M38_1106_8))
% 293.42/42.84
% 293.42/42.84 [25441] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [25468] ~(left_apart_point(A39_2173_9, L40_2173_9) | left_apart_point(A39_2173_9, reverse_line(L40_2173_9)))
% 293.42/42.84
% 293.42/42.84 [25468] ALPHA_NOT_OR : ~(left_apart_point(A39_2173_9, L40_2173_9) | left_apart_point(A39_2173_9, reverse_line(L40_2173_9)))
% 293.42/42.84 -> [25471] ~left_apart_point(A39_2173_9, L40_2173_9), ~left_apart_point(A39_2173_9, reverse_line(L40_2173_9))
% 293.42/42.84
% 293.42/42.84 [25471] CLOSURE : ~left_apart_point(A39_2173_9, L40_2173_9)
% 293.42/42.84
% 293.42/42.84 [25440] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [25478] ~(left_apart_point(A39_2174_9, L40_2174_9) | left_apart_point(A39_2174_9, reverse_line(L40_2174_9)))
% 293.42/42.84
% 293.42/42.84 [25478] ALPHA_NOT_OR : ~(left_apart_point(A39_2174_9, L40_2174_9) | left_apart_point(A39_2174_9, reverse_line(L40_2174_9)))
% 293.42/42.84 -> [25479] ~left_apart_point(A39_2174_9, L40_2174_9), ~left_apart_point(A39_2174_9, reverse_line(L40_2174_9))
% 293.42/42.84
% 293.42/42.84 [25479] CLOSURE : ~left_apart_point(A39_2174_9, L40_2174_9)
% 293.42/42.84
% 293.42/42.84 [25436] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1106_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1106_8)))
% 293.42/42.84 -> [25444] ~unequally_directed_lines(skolem_N7979, M38_1106_8)
% 293.42/42.84 -> [25445] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1106_8))
% 293.42/42.84
% 293.42/42.84 [25445] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1106_8))
% 293.42/42.84
% 293.42/42.84 [25444] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1106_8)
% 293.42/42.84
% 293.42/42.84 [25339] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [25383] ((unequally_directed_lines(skolem_N7979, M38_1102_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1102_8))) => (left_convergent_lines(skolem_N7979, M38_1102_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1102_8))))
% 293.42/42.84
% 293.42/42.84 [25383] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1102_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1102_8))) => (left_convergent_lines(skolem_N7979, M38_1102_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1102_8))))
% 293.42/42.84 -> [25384] ~(unequally_directed_lines(skolem_N7979, M38_1102_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1102_8)))
% 293.42/42.84 -> [25385] (left_convergent_lines(skolem_N7979, M38_1102_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1102_8)))
% 293.42/42.84
% 293.42/42.84 [25385] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1102_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1102_8)))
% 293.42/42.84 -> [25391] left_convergent_lines(skolem_N7979, M38_1102_8)
% 293.42/42.84 -> [25392] left_convergent_lines(skolem_N7979, reverse_line(M38_1102_8))
% 293.42/42.84
% 293.42/42.84 [25392] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [25497] ~(left_apart_point(A39_2180_9, L40_2180_9) | left_apart_point(A39_2180_9, reverse_line(L40_2180_9)))
% 293.42/42.84
% 293.42/42.84 [25497] ALPHA_NOT_OR : ~(left_apart_point(A39_2180_9, L40_2180_9) | left_apart_point(A39_2180_9, reverse_line(L40_2180_9)))
% 293.42/42.84 -> [25500] ~left_apart_point(A39_2180_9, L40_2180_9), ~left_apart_point(A39_2180_9, reverse_line(L40_2180_9))
% 293.42/42.84
% 293.42/42.84 [25500] CLOSURE : ~left_apart_point(A39_2180_9, L40_2180_9)
% 293.42/42.84
% 293.42/42.84 [25391] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [25569] ~(left_apart_point(A39_2190_9, L40_2190_9) | left_apart_point(A39_2190_9, reverse_line(L40_2190_9)))
% 293.42/42.84
% 293.42/42.84 [25569] ALPHA_NOT_OR : ~(left_apart_point(A39_2190_9, L40_2190_9) | left_apart_point(A39_2190_9, reverse_line(L40_2190_9)))
% 293.42/42.84 -> [25573] ~left_apart_point(A39_2190_9, L40_2190_9), ~left_apart_point(A39_2190_9, reverse_line(L40_2190_9))
% 293.42/42.84
% 293.42/42.84 [25573] CLOSURE : ~left_apart_point(A39_2190_9, L40_2190_9)
% 293.42/42.84
% 293.42/42.84 [25384] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1102_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1102_8)))
% 293.42/42.84 -> [25463] ~unequally_directed_lines(skolem_N7979, M38_1102_8)
% 293.42/42.84 -> [25464] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1102_8))
% 293.42/42.84
% 293.42/42.84 [25463] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1102_8)
% 293.42/42.84
% 293.42/42.84 [25464] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1102_8))
% 293.42/42.84
% 293.42/42.84 [425] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.84 -> [429] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.84
% 293.42/42.84 [429] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.84 -> [431] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.42/42.84 -> [432] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [431] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.84 -> [1589] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.84
% 293.42/42.84 [1589] 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))))
% 293.42/42.84 -> [1679] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.84
% 293.42/42.84 [1679] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.84 -> [1680] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.84 -> [1681] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.84
% 293.42/42.84 [1680] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.84
% 293.42/42.84 [1681] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.84 -> [3743] distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.84 -> [3744] distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.84
% 293.42/42.84 [3744] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.84
% 293.42/42.84 [3743] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.84 -> [3956] ~distinct_lines(N27_83_3, N27_83_3)
% 293.42/42.84
% 293.42/42.84 [3956] 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))))
% 293.42/42.84 -> [3970] (distinct_lines(N27_83_3, N27_83_3) => (distinct_lines(N27_83_3, N27_83_3) | distinct_lines(N27_83_3, N27_83_3)))
% 293.42/42.84
% 293.42/42.84 [3970] 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)))
% 293.42/42.84 -> [3971] ~distinct_lines(N27_83_3, N27_83_3)
% 293.42/42.84 -> [3972] (distinct_lines(N27_83_3, N27_83_3) | distinct_lines(N27_83_3, N27_83_3))
% 293.42/42.84
% 293.42/42.84 [3972] BETA_OR : (distinct_lines(N27_83_3, N27_83_3) | distinct_lines(N27_83_3, N27_83_3))
% 293.42/42.84 -> [3973] distinct_lines(N27_83_3, N27_83_3)
% 293.42/42.84 -> [3974] distinct_lines(N27_83_3, N27_83_3)
% 293.42/42.84
% 293.42/42.84 [3974] CLOSURE : distinct_lines(N27_83_3, N27_83_3)
% 293.42/42.84
% 293.42/42.84 [3973] CLOSURE : distinct_lines(N27_83_3, N27_83_3)
% 293.42/42.84
% 293.42/42.84 [3971] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.84 -> [4031] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [4031] 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))))
% 293.42/42.84 -> [4079] (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))))
% 293.42/42.84
% 293.42/42.84 [4079] 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))))
% 293.42/42.84 -> [4080] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84 -> [4081] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.84
% 293.42/42.84 [4080] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [4081] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.84 -> [7692] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84 -> [7693] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [7693] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [7692] 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))))))
% 293.42/42.84 -> [10777] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_132_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_132_6))) | (unequally_directed_lines(skolem_N7979, N34_132_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_132_6)))))
% 293.42/42.84
% 293.42/42.84 [10777] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_132_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_132_6))) | (unequally_directed_lines(skolem_N7979, N34_132_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_132_6)))))
% 293.42/42.84 -> [10781] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.84 -> [10782] ((unequally_directed_lines(skolem_M7878, N34_132_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_132_6))) | (unequally_directed_lines(skolem_N7979, N34_132_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_132_6))))
% 293.42/42.84
% 293.42/42.84 [10781] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.84 -> [10827] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.84 -> [10828] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [10828] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [10827] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.84
% 293.42/42.84 [10782] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_132_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_132_6))) | (unequally_directed_lines(skolem_N7979, N34_132_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_132_6))))
% 293.42/42.84 -> [12098] (unequally_directed_lines(skolem_M7878, N34_132_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_132_6)))
% 293.42/42.84 -> [12099] (unequally_directed_lines(skolem_N7979, N34_132_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_132_6)))
% 293.42/42.84
% 293.42/42.84 [12099] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_132_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_132_6)))
% 293.42/42.84 -> [12101] unequally_directed_lines(skolem_N7979, N34_132_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_132_6))
% 293.42/42.84
% 293.42/42.84 [12101] 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)))))
% 293.42/42.84 -> [12125] ((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)))))
% 293.42/42.84
% 293.42/42.84 [12125] 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)))))
% 293.42/42.84 -> [12127] ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.84 -> [12128] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 293.42/42.84
% 293.42/42.84 [12127] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.84 -> [12147] ~line(reverse_line(skolem_N7979))
% 293.42/42.84 -> [12148] ~line(reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [12148] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [12213] ((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))))
% 293.42/42.84
% 293.42/42.84 [12213] 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))))
% 293.42/42.84 -> [12216] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.84 -> [12217] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.84
% 293.42/42.84 [12217] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.84 -> [12220] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.84 -> [12221] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [12221] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [12319] ~(left_apart_point(A39_511_9, L40_511_9) | left_apart_point(A39_511_9, reverse_line(L40_511_9)))
% 293.42/42.84
% 293.42/42.84 [12319] ALPHA_NOT_OR : ~(left_apart_point(A39_511_9, L40_511_9) | left_apart_point(A39_511_9, reverse_line(L40_511_9)))
% 293.42/42.84 -> [12320] ~left_apart_point(A39_511_9, L40_511_9), ~left_apart_point(A39_511_9, reverse_line(L40_511_9))
% 293.42/42.84
% 293.42/42.84 [12320] CLOSURE : ~left_apart_point(A39_511_9, L40_511_9)
% 293.42/42.84
% 293.42/42.84 [12220] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [12330] ~(left_apart_point(A39_512_9, L40_512_9) | left_apart_point(A39_512_9, reverse_line(L40_512_9)))
% 293.42/42.84
% 293.42/42.84 [12330] ALPHA_NOT_OR : ~(left_apart_point(A39_512_9, L40_512_9) | left_apart_point(A39_512_9, reverse_line(L40_512_9)))
% 293.42/42.84 -> [12331] ~left_apart_point(A39_512_9, L40_512_9), ~left_apart_point(A39_512_9, reverse_line(L40_512_9))
% 293.42/42.84
% 293.42/42.84 [12331] CLOSURE : ~left_apart_point(A39_512_9, L40_512_9)
% 293.42/42.84
% 293.42/42.84 [12216] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.84 -> [12264] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.84 -> [12265] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [12265] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [12264] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.84
% 293.42/42.84 [12147] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [12251] ((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))))
% 293.42/42.84
% 293.42/42.84 [12251] 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))))
% 293.42/42.84 -> [12257] ~(unequally_directed_lines(skolem_N7979, M38_265_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_265_8)))
% 293.42/42.84 -> [12258] (left_convergent_lines(skolem_N7979, M38_265_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_265_8)))
% 293.42/42.84
% 293.42/42.84 [12258] BETA_OR : (left_convergent_lines(skolem_N7979, M38_265_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_265_8)))
% 293.42/42.84 -> [12260] left_convergent_lines(skolem_N7979, M38_265_8)
% 293.42/42.84 -> [12261] left_convergent_lines(skolem_N7979, reverse_line(M38_265_8))
% 293.42/42.84
% 293.42/42.84 [12260] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [12498] ~(left_apart_point(A39_521_9, L40_521_9) | left_apart_point(A39_521_9, reverse_line(L40_521_9)))
% 293.42/42.84
% 293.42/42.84 [12498] ALPHA_NOT_OR : ~(left_apart_point(A39_521_9, L40_521_9) | left_apart_point(A39_521_9, reverse_line(L40_521_9)))
% 293.42/42.84 -> [12501] ~left_apart_point(A39_521_9, L40_521_9), ~left_apart_point(A39_521_9, reverse_line(L40_521_9))
% 293.42/42.84
% 293.42/42.84 [12501] CLOSURE : ~left_apart_point(A39_521_9, L40_521_9)
% 293.42/42.84
% 293.42/42.84 [12261] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [12771] ~(left_apart_point(A39_548_9, L40_548_9) | left_apart_point(A39_548_9, reverse_line(L40_548_9)))
% 293.42/42.84
% 293.42/42.84 [12771] ALPHA_NOT_OR : ~(left_apart_point(A39_548_9, L40_548_9) | left_apart_point(A39_548_9, reverse_line(L40_548_9)))
% 293.42/42.84 -> [12772] ~left_apart_point(A39_548_9, L40_548_9), ~left_apart_point(A39_548_9, reverse_line(L40_548_9))
% 293.42/42.84
% 293.42/42.84 [12772] CLOSURE : ~left_apart_point(A39_548_9, L40_548_9)
% 293.42/42.84
% 293.42/42.84 [12257] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_265_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_265_8)))
% 293.42/42.84 -> [12288] ~unequally_directed_lines(skolem_N7979, M38_265_8)
% 293.42/42.84 -> [12289] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_265_8))
% 293.42/42.84
% 293.42/42.84 [12289] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_265_8))
% 293.42/42.84
% 293.42/42.84 [12288] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_265_8)
% 293.42/42.84
% 293.42/42.84 [12128] 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))))
% 293.42/42.84 -> [12133] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.84 -> [12134] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 293.42/42.84
% 293.42/42.84 [12133] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [12134] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [17090] ((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))))
% 293.42/42.84
% 293.42/42.84 [17090] 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))))
% 293.42/42.84 -> [17093] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.84 -> [17094] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.84
% 293.42/42.84 [17093] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.84 -> [17233] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.84 -> [17234] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [17234] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [17233] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.84
% 293.42/42.84 [17094] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.84 -> [17098] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.84 -> [17099] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [17098] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [17619] ~(left_apart_point(A39_1125_9, L40_1125_9) | left_apart_point(A39_1125_9, reverse_line(L40_1125_9)))
% 293.42/42.84
% 293.42/42.84 [17619] ALPHA_NOT_OR : ~(left_apart_point(A39_1125_9, L40_1125_9) | left_apart_point(A39_1125_9, reverse_line(L40_1125_9)))
% 293.42/42.84 -> [17620] ~left_apart_point(A39_1125_9, L40_1125_9), ~left_apart_point(A39_1125_9, reverse_line(L40_1125_9))
% 293.42/42.84
% 293.42/42.84 [17620] CLOSURE : ~left_apart_point(A39_1125_9, L40_1125_9)
% 293.42/42.84
% 293.42/42.84 [17099] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [17546] ~(left_apart_point(A39_1114_9, L40_1114_9) | left_apart_point(A39_1114_9, reverse_line(L40_1114_9)))
% 293.42/42.84
% 293.42/42.84 [17546] ALPHA_NOT_OR : ~(left_apart_point(A39_1114_9, L40_1114_9) | left_apart_point(A39_1114_9, reverse_line(L40_1114_9)))
% 293.42/42.84 -> [17550] ~left_apart_point(A39_1114_9, L40_1114_9), ~left_apart_point(A39_1114_9, reverse_line(L40_1114_9))
% 293.42/42.84
% 293.42/42.84 [17550] CLOSURE : ~left_apart_point(A39_1114_9, L40_1114_9)
% 293.42/42.84
% 293.42/42.84 [12098] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_132_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_132_6)))
% 293.42/42.84 -> [12107] unequally_directed_lines(skolem_M7878, N34_132_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_132_6))
% 293.42/42.84
% 293.42/42.84 [12107] 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)))))
% 293.42/42.84 -> [12137] ((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)))))
% 293.42/42.84
% 293.42/42.84 [12137] 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)))))
% 293.42/42.84 -> [12138] ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.84 -> [12139] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))
% 293.42/42.84
% 293.42/42.84 [12138] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.84 -> [12154] ~line(skolem_L7777)
% 293.42/42.84 -> [12155] ~line(line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.84
% 293.42/42.84 [12154] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [12278] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.84
% 293.42/42.84 [12278] 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))))
% 293.42/42.84 -> [12279] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [12280] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.84
% 293.42/42.84 [12279] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [12299] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.84 -> [12300] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [12300] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [12299] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [12280] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [12283] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.84 -> [12284] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [12283] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [12356] ~(left_apart_point(A39_513_9, L40_513_9) | left_apart_point(A39_513_9, reverse_line(L40_513_9)))
% 293.42/42.84
% 293.42/42.84 [12356] ALPHA_NOT_OR : ~(left_apart_point(A39_513_9, L40_513_9) | left_apart_point(A39_513_9, reverse_line(L40_513_9)))
% 293.42/42.84 -> [12358] ~left_apart_point(A39_513_9, L40_513_9), ~left_apart_point(A39_513_9, reverse_line(L40_513_9))
% 293.42/42.84
% 293.42/42.84 [12358] CLOSURE : ~left_apart_point(A39_513_9, L40_513_9)
% 293.42/42.84
% 293.42/42.84 [12284] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [12398] ~(left_apart_point(A39_516_9, L40_516_9) | left_apart_point(A39_516_9, reverse_line(L40_516_9)))
% 293.42/42.84
% 293.42/42.84 [12398] ALPHA_NOT_OR : ~(left_apart_point(A39_516_9, L40_516_9) | left_apart_point(A39_516_9, reverse_line(L40_516_9)))
% 293.42/42.84 -> [12401] ~left_apart_point(A39_516_9, L40_516_9), ~left_apart_point(A39_516_9, reverse_line(L40_516_9))
% 293.42/42.84
% 293.42/42.84 [12401] CLOSURE : ~left_apart_point(A39_516_9, L40_516_9)
% 293.42/42.84
% 293.42/42.84 [12155] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [12238] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.84
% 293.42/42.84 [12238] 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))))
% 293.42/42.84 -> [12240] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [12241] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.84
% 293.42/42.84 [12240] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [12285] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.84 -> [12286] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [12285] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [12286] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [12241] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [12244] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.84 -> [12245] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [12245] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [12569] ~(left_apart_point(A39_525_9, L40_525_9) | left_apart_point(A39_525_9, reverse_line(L40_525_9)))
% 293.42/42.84
% 293.42/42.84 [12569] ALPHA_NOT_OR : ~(left_apart_point(A39_525_9, L40_525_9) | left_apart_point(A39_525_9, reverse_line(L40_525_9)))
% 293.42/42.84 -> [12572] ~left_apart_point(A39_525_9, L40_525_9), ~left_apart_point(A39_525_9, reverse_line(L40_525_9))
% 293.42/42.84
% 293.42/42.84 [12572] CLOSURE : ~left_apart_point(A39_525_9, L40_525_9)
% 293.42/42.84
% 293.42/42.84 [12244] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [12761] ~(left_apart_point(A39_544_9, L40_544_9) | left_apart_point(A39_544_9, reverse_line(L40_544_9)))
% 293.42/42.84
% 293.42/42.84 [12761] ALPHA_NOT_OR : ~(left_apart_point(A39_544_9, L40_544_9) | left_apart_point(A39_544_9, reverse_line(L40_544_9)))
% 293.42/42.84 -> [12762] ~left_apart_point(A39_544_9, L40_544_9), ~left_apart_point(A39_544_9, reverse_line(L40_544_9))
% 293.42/42.84
% 293.42/42.84 [12762] CLOSURE : ~left_apart_point(A39_544_9, L40_544_9)
% 293.42/42.84
% 293.42/42.84 [12139] 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))))
% 293.42/42.84 -> [12143] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.84 -> [12144] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.84
% 293.42/42.84 [12143] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.84
% 293.42/42.84 [12144] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [17625] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.84
% 293.42/42.84 [17625] 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))))
% 293.42/42.84 -> [17628] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [17629] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.84
% 293.42/42.84 [17628] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [17704] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.84 -> [17705] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [17705] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [17704] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [17629] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [17633] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.84 -> [17634] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [17634] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [17780] ~(left_apart_point(A39_1148_9, L40_1148_9) | left_apart_point(A39_1148_9, reverse_line(L40_1148_9)))
% 293.42/42.84
% 293.42/42.84 [17780] ALPHA_NOT_OR : ~(left_apart_point(A39_1148_9, L40_1148_9) | left_apart_point(A39_1148_9, reverse_line(L40_1148_9)))
% 293.42/42.84 -> [17784] ~left_apart_point(A39_1148_9, L40_1148_9), ~left_apart_point(A39_1148_9, reverse_line(L40_1148_9))
% 293.42/42.84
% 293.42/42.84 [17784] CLOSURE : ~left_apart_point(A39_1148_9, L40_1148_9)
% 293.42/42.84
% 293.42/42.84 [17633] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [21911] ~(left_apart_point(A39_1668_9, L40_1668_9) | left_apart_point(A39_1668_9, reverse_line(L40_1668_9)))
% 293.42/42.84
% 293.42/42.84 [21911] ALPHA_NOT_OR : ~(left_apart_point(A39_1668_9, L40_1668_9) | left_apart_point(A39_1668_9, reverse_line(L40_1668_9)))
% 293.42/42.84 -> [21916] ~left_apart_point(A39_1668_9, L40_1668_9), ~left_apart_point(A39_1668_9, reverse_line(L40_1668_9))
% 293.42/42.84
% 293.42/42.84 [21916] CLOSURE : ~left_apart_point(A39_1668_9, L40_1668_9)
% 293.42/42.84
% 293.42/42.84 [432] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.84 -> [734] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.84
% 293.42/42.84 [734] 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))))
% 293.42/42.84 -> [1094] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.84
% 293.42/42.84 [1094] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.84 -> [1095] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.84 -> [1096] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.84
% 293.42/42.84 [1095] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.84
% 293.42/42.84 [1096] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.84 -> [4912] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.84 -> [4913] distinct_points(skolem_A8080, skolem_B8181)
% 293.42/42.84
% 293.42/42.84 [4912] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.84
% 293.42/42.84 [4913] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.84 -> [5709] ~distinct_lines(L25_174_3, L25_174_3)
% 293.42/42.84
% 293.42/42.84 [5709] 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))))
% 293.42/42.84 -> [5950] (distinct_lines(L25_174_3, L25_174_3) => (distinct_lines(L25_174_3, L25_174_3) | distinct_lines(L25_174_3, L25_174_3)))
% 293.42/42.84
% 293.42/42.84 [5950] BETA_IMPLY : (distinct_lines(L25_174_3, L25_174_3) => (distinct_lines(L25_174_3, L25_174_3) | distinct_lines(L25_174_3, L25_174_3)))
% 293.42/42.84 -> [5952] ~distinct_lines(L25_174_3, L25_174_3)
% 293.42/42.84 -> [5953] (distinct_lines(L25_174_3, L25_174_3) | distinct_lines(L25_174_3, L25_174_3))
% 293.42/42.84
% 293.42/42.84 [5953] BETA_OR : (distinct_lines(L25_174_3, L25_174_3) | distinct_lines(L25_174_3, L25_174_3))
% 293.42/42.84 -> [5956] distinct_lines(L25_174_3, L25_174_3)
% 293.42/42.84 -> [5957] distinct_lines(L25_174_3, L25_174_3)
% 293.42/42.84
% 293.42/42.84 [5957] CLOSURE : distinct_lines(L25_174_3, L25_174_3)
% 293.42/42.84
% 293.42/42.84 [5956] CLOSURE : distinct_lines(L25_174_3, L25_174_3)
% 293.42/42.84
% 293.42/42.84 [5952] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.84 -> [6247] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [6247] 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))))
% 293.42/42.84 -> [6530] (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)))
% 293.42/42.84
% 293.42/42.84 [6530] 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)))
% 293.42/42.84 -> [6533] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84 -> [6534] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [6533] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [6534] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.84 -> [15663] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84 -> [15664] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [15663] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [15664] 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))))))
% 293.42/42.84 -> [16715] ((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)))))
% 293.42/42.84
% 293.42/42.84 [16715] 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)))))
% 293.42/42.84 -> [16723] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.84 -> [16724] ((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))))
% 293.42/42.84
% 293.42/42.84 [16723] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.84 -> [18812] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.84 -> [18813] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [18813] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [18812] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.84
% 293.42/42.84 [16724] 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))))
% 293.42/42.84 -> [24752] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [24753] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.84
% 293.42/42.84 [24752] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [24778] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [24778] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [24753] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [24756] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [24756] 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)))))
% 293.42/42.84 -> [24836] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.84
% 293.42/42.84 [24836] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.84 -> [24839] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.84 -> [24840] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84
% 293.42/42.84 [24840] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [24851] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84 -> [24852] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [24851] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [24852] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [24909] ((unequally_directed_lines(skolem_N7979, M38_1067_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1067_8))) => (left_convergent_lines(skolem_N7979, M38_1067_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1067_8))))
% 293.42/42.84
% 293.42/42.84 [24909] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1067_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1067_8))) => (left_convergent_lines(skolem_N7979, M38_1067_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1067_8))))
% 293.42/42.84 -> [24912] ~(unequally_directed_lines(skolem_N7979, M38_1067_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1067_8)))
% 293.42/42.84 -> [24913] (left_convergent_lines(skolem_N7979, M38_1067_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1067_8)))
% 293.42/42.84
% 293.42/42.84 [24913] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1067_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1067_8)))
% 293.42/42.84 -> [24918] left_convergent_lines(skolem_N7979, M38_1067_8)
% 293.42/42.84 -> [24919] left_convergent_lines(skolem_N7979, reverse_line(M38_1067_8))
% 293.42/42.84
% 293.42/42.84 [24919] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [24976] ~(left_apart_point(A39_2115_9, L40_2115_9) | left_apart_point(A39_2115_9, reverse_line(L40_2115_9)))
% 293.42/42.84
% 293.42/42.84 [24976] ALPHA_NOT_OR : ~(left_apart_point(A39_2115_9, L40_2115_9) | left_apart_point(A39_2115_9, reverse_line(L40_2115_9)))
% 293.42/42.84 -> [24978] ~left_apart_point(A39_2115_9, L40_2115_9), ~left_apart_point(A39_2115_9, reverse_line(L40_2115_9))
% 293.42/42.84
% 293.42/42.84 [24978] CLOSURE : ~left_apart_point(A39_2115_9, L40_2115_9)
% 293.42/42.84
% 293.42/42.84 [24918] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [24988] ~(left_apart_point(A39_2116_9, L40_2116_9) | left_apart_point(A39_2116_9, reverse_line(L40_2116_9)))
% 293.42/42.84
% 293.42/42.84 [24988] ALPHA_NOT_OR : ~(left_apart_point(A39_2116_9, L40_2116_9) | left_apart_point(A39_2116_9, reverse_line(L40_2116_9)))
% 293.42/42.84 -> [24993] ~left_apart_point(A39_2116_9, L40_2116_9), ~left_apart_point(A39_2116_9, reverse_line(L40_2116_9))
% 293.42/42.84
% 293.42/42.84 [24993] CLOSURE : ~left_apart_point(A39_2116_9, L40_2116_9)
% 293.42/42.84
% 293.42/42.84 [24912] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1067_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1067_8)))
% 293.42/42.84 -> [24927] ~unequally_directed_lines(skolem_N7979, M38_1067_8)
% 293.42/42.84 -> [24928] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1067_8))
% 293.42/42.84
% 293.42/42.84 [24928] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1067_8))
% 293.42/42.84
% 293.42/42.84 [24927] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1067_8)
% 293.42/42.84
% 293.42/42.84 [24839] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.84 -> [24902] ~line(skolem_M7878)
% 293.42/42.84 -> [24903] ~line(skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [24903] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [24929] ((unequally_directed_lines(skolem_N7979, M38_1068_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1068_8))) => (left_convergent_lines(skolem_N7979, M38_1068_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1068_8))))
% 293.42/42.84
% 293.42/42.84 [24929] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1068_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1068_8))) => (left_convergent_lines(skolem_N7979, M38_1068_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1068_8))))
% 293.42/42.84 -> [24930] ~(unequally_directed_lines(skolem_N7979, M38_1068_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1068_8)))
% 293.42/42.84 -> [24931] (left_convergent_lines(skolem_N7979, M38_1068_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1068_8)))
% 293.42/42.84
% 293.42/42.84 [24930] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1068_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1068_8)))
% 293.42/42.84 -> [24949] ~unequally_directed_lines(skolem_N7979, M38_1068_8)
% 293.42/42.84 -> [24950] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1068_8))
% 293.42/42.84
% 293.42/42.84 [24949] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1068_8)
% 293.42/42.84
% 293.42/42.84 [24950] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1068_8))
% 293.42/42.84
% 293.42/42.84 [24931] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1068_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1068_8)))
% 293.42/42.84 -> [24932] left_convergent_lines(skolem_N7979, M38_1068_8)
% 293.42/42.84 -> [24933] left_convergent_lines(skolem_N7979, reverse_line(M38_1068_8))
% 293.42/42.84
% 293.42/42.84 [24932] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [25018] ~(left_apart_point(A39_2118_9, L40_2118_9) | left_apart_point(A39_2118_9, reverse_line(L40_2118_9)))
% 293.42/42.84
% 293.42/42.84 [25018] ALPHA_NOT_OR : ~(left_apart_point(A39_2118_9, L40_2118_9) | left_apart_point(A39_2118_9, reverse_line(L40_2118_9)))
% 293.42/42.84 -> [25020] ~left_apart_point(A39_2118_9, L40_2118_9), ~left_apart_point(A39_2118_9, reverse_line(L40_2118_9))
% 293.42/42.84
% 293.42/42.84 [25020] CLOSURE : ~left_apart_point(A39_2118_9, L40_2118_9)
% 293.42/42.84
% 293.42/42.84 [24933] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [25023] ~(left_apart_point(A39_2119_9, L40_2119_9) | left_apart_point(A39_2119_9, reverse_line(L40_2119_9)))
% 293.42/42.84
% 293.42/42.84 [25023] ALPHA_NOT_OR : ~(left_apart_point(A39_2119_9, L40_2119_9) | left_apart_point(A39_2119_9, reverse_line(L40_2119_9)))
% 293.42/42.84 -> [25025] ~left_apart_point(A39_2119_9, L40_2119_9), ~left_apart_point(A39_2119_9, reverse_line(L40_2119_9))
% 293.42/42.84
% 293.42/42.84 [25025] CLOSURE : ~left_apart_point(A39_2119_9, L40_2119_9)
% 293.42/42.84
% 293.42/42.84 [24902] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [24938] ((unequally_directed_lines(skolem_N7979, M38_1069_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1069_8))) => (left_convergent_lines(skolem_N7979, M38_1069_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1069_8))))
% 293.42/42.84
% 293.42/42.84 [24938] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1069_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1069_8))) => (left_convergent_lines(skolem_N7979, M38_1069_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1069_8))))
% 293.42/42.84 -> [24942] ~(unequally_directed_lines(skolem_N7979, M38_1069_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1069_8)))
% 293.42/42.84 -> [24943] (left_convergent_lines(skolem_N7979, M38_1069_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1069_8)))
% 293.42/42.84
% 293.42/42.84 [24943] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1069_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1069_8)))
% 293.42/42.84 -> [24945] left_convergent_lines(skolem_N7979, M38_1069_8)
% 293.42/42.84 -> [24946] left_convergent_lines(skolem_N7979, reverse_line(M38_1069_8))
% 293.42/42.84
% 293.42/42.84 [24945] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [25654] ~(left_apart_point(A39_2210_9, L40_2210_9) | left_apart_point(A39_2210_9, reverse_line(L40_2210_9)))
% 293.42/42.84
% 293.42/42.84 [25654] ALPHA_NOT_OR : ~(left_apart_point(A39_2210_9, L40_2210_9) | left_apart_point(A39_2210_9, reverse_line(L40_2210_9)))
% 293.42/42.84 -> [25655] ~left_apart_point(A39_2210_9, L40_2210_9), ~left_apart_point(A39_2210_9, reverse_line(L40_2210_9))
% 293.42/42.84
% 293.42/42.84 [25655] CLOSURE : ~left_apart_point(A39_2210_9, L40_2210_9)
% 293.42/42.84
% 293.42/42.84 [24946] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [25010] ~(left_apart_point(A39_2117_9, L40_2117_9) | left_apart_point(A39_2117_9, reverse_line(L40_2117_9)))
% 293.42/42.84
% 293.42/42.84 [25010] ALPHA_NOT_OR : ~(left_apart_point(A39_2117_9, L40_2117_9) | left_apart_point(A39_2117_9, reverse_line(L40_2117_9)))
% 293.42/42.84 -> [25014] ~left_apart_point(A39_2117_9, L40_2117_9), ~left_apart_point(A39_2117_9, reverse_line(L40_2117_9))
% 293.42/42.84
% 293.42/42.84 [25014] CLOSURE : ~left_apart_point(A39_2117_9, L40_2117_9)
% 293.42/42.84
% 293.42/42.84 [24942] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1069_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1069_8)))
% 293.42/42.84 -> [24958] ~unequally_directed_lines(skolem_N7979, M38_1069_8)
% 293.42/42.84 -> [24959] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1069_8))
% 293.42/42.84
% 293.42/42.84 [24958] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1069_8)
% 293.42/42.84
% 293.42/42.84 [24959] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1069_8))
% 293.42/42.84
% 293.42/42.84 [413] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.42/42.84 -> [465] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))
% 293.42/42.84 -> [466] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.84
% 293.42/42.84 [466] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.84 -> [470] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.84
% 293.42/42.84 [470] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.84 -> [474] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))
% 293.42/42.84 -> [475] ~~(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)))
% 293.42/42.84
% 293.42/42.84 [474] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.84 -> [705] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.42/42.84 -> [706] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [706] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.84 -> [851] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.84
% 293.42/42.84 [851] 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))))
% 293.42/42.84 -> [1209] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.84
% 293.42/42.84 [1209] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.84 -> [1210] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.84 -> [1211] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.84
% 293.42/42.84 [1210] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.84
% 293.42/42.84 [1211] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.84 -> [4092] distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.84 -> [4093] distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.84
% 293.42/42.84 [4093] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.84
% 293.42/42.84 [4092] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.84 -> [5316] ~distinct_lines(N27_153_3, N27_153_3)
% 293.42/42.84
% 293.42/42.84 [5316] 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))))
% 293.42/42.84 -> [5457] (distinct_lines(N27_153_3, N27_153_3) => (distinct_lines(N27_153_3, N27_153_3) | distinct_lines(N27_153_3, N27_153_3)))
% 293.42/42.84
% 293.42/42.84 [5457] BETA_IMPLY : (distinct_lines(N27_153_3, N27_153_3) => (distinct_lines(N27_153_3, N27_153_3) | distinct_lines(N27_153_3, N27_153_3)))
% 293.42/42.84 -> [5458] ~distinct_lines(N27_153_3, N27_153_3)
% 293.42/42.84 -> [5459] (distinct_lines(N27_153_3, N27_153_3) | distinct_lines(N27_153_3, N27_153_3))
% 293.42/42.84
% 293.42/42.84 [5459] BETA_OR : (distinct_lines(N27_153_3, N27_153_3) | distinct_lines(N27_153_3, N27_153_3))
% 293.42/42.84 -> [5460] distinct_lines(N27_153_3, N27_153_3)
% 293.42/42.84 -> [5461] distinct_lines(N27_153_3, N27_153_3)
% 293.42/42.84
% 293.42/42.84 [5460] CLOSURE : distinct_lines(N27_153_3, N27_153_3)
% 293.42/42.84
% 293.42/42.84 [5461] CLOSURE : distinct_lines(N27_153_3, N27_153_3)
% 293.42/42.84
% 293.42/42.84 [5458] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.84 -> [5588] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [5588] 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))))
% 293.42/42.84 -> [5727] (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)))
% 293.42/42.84
% 293.42/42.84 [5727] 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)))
% 293.42/42.84 -> [5728] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84 -> [5729] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [5728] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [5729] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.84 -> [9785] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84 -> [9786] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [9785] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [9786] 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))))))
% 293.42/42.84 -> [10898] ((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)))))
% 293.42/42.84
% 293.42/42.84 [10898] 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)))))
% 293.42/42.84 -> [10902] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.84 -> [10903] ((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))))
% 293.42/42.84
% 293.42/42.84 [10902] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.84 -> [10954] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.84 -> [10955] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [10955] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [10954] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.84
% 293.42/42.84 [10903] 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))))
% 293.42/42.84 -> [14987] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [14988] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.84
% 293.42/42.84 [14987] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [14995] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [14995] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [14988] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [14992] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [14992] 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)))))
% 293.42/42.84 -> [15041] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.84
% 293.42/42.84 [15041] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.84 -> [15044] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.84 -> [15045] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84
% 293.42/42.84 [15044] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.84 -> [15070] ~line(skolem_M7878)
% 293.42/42.84 -> [15071] ~line(skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [15071] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [15115] ((unequally_directed_lines(skolem_N7979, M38_437_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_437_8))) => (left_convergent_lines(skolem_N7979, M38_437_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_437_8))))
% 293.42/42.84
% 293.42/42.84 [15115] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_437_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_437_8))) => (left_convergent_lines(skolem_N7979, M38_437_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_437_8))))
% 293.42/42.84 -> [15118] ~(unequally_directed_lines(skolem_N7979, M38_437_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_437_8)))
% 293.42/42.84 -> [15119] (left_convergent_lines(skolem_N7979, M38_437_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_437_8)))
% 293.42/42.84
% 293.42/42.84 [15119] BETA_OR : (left_convergent_lines(skolem_N7979, M38_437_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_437_8)))
% 293.42/42.84 -> [15126] left_convergent_lines(skolem_N7979, M38_437_8)
% 293.42/42.84 -> [15127] left_convergent_lines(skolem_N7979, reverse_line(M38_437_8))
% 293.42/42.84
% 293.42/42.84 [15127] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [15156] ~(left_apart_point(A39_846_9, L40_846_9) | left_apart_point(A39_846_9, reverse_line(L40_846_9)))
% 293.42/42.84
% 293.42/42.84 [15156] ALPHA_NOT_OR : ~(left_apart_point(A39_846_9, L40_846_9) | left_apart_point(A39_846_9, reverse_line(L40_846_9)))
% 293.42/42.84 -> [15158] ~left_apart_point(A39_846_9, L40_846_9), ~left_apart_point(A39_846_9, reverse_line(L40_846_9))
% 293.42/42.84
% 293.42/42.84 [15158] CLOSURE : ~left_apart_point(A39_846_9, L40_846_9)
% 293.42/42.84
% 293.42/42.84 [15126] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [15161] ~(left_apart_point(A39_849_9, L40_849_9) | left_apart_point(A39_849_9, reverse_line(L40_849_9)))
% 293.42/42.84
% 293.42/42.84 [15161] ALPHA_NOT_OR : ~(left_apart_point(A39_849_9, L40_849_9) | left_apart_point(A39_849_9, reverse_line(L40_849_9)))
% 293.42/42.84 -> [15163] ~left_apart_point(A39_849_9, L40_849_9), ~left_apart_point(A39_849_9, reverse_line(L40_849_9))
% 293.42/42.84
% 293.42/42.84 [15163] CLOSURE : ~left_apart_point(A39_849_9, L40_849_9)
% 293.42/42.84
% 293.42/42.84 [15118] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_437_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_437_8)))
% 293.42/42.84 -> [15137] ~unequally_directed_lines(skolem_N7979, M38_437_8)
% 293.42/42.84 -> [15138] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_437_8))
% 293.42/42.84
% 293.42/42.84 [15138] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_437_8))
% 293.42/42.84
% 293.42/42.84 [15137] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_437_8)
% 293.42/42.84
% 293.42/42.84 [15070] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [15085] ((unequally_directed_lines(skolem_N7979, M38_436_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_436_8))) => (left_convergent_lines(skolem_N7979, M38_436_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_436_8))))
% 293.42/42.84
% 293.42/42.84 [15085] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_436_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_436_8))) => (left_convergent_lines(skolem_N7979, M38_436_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_436_8))))
% 293.42/42.84 -> [15088] ~(unequally_directed_lines(skolem_N7979, M38_436_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_436_8)))
% 293.42/42.84 -> [15089] (left_convergent_lines(skolem_N7979, M38_436_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_436_8)))
% 293.42/42.84
% 293.42/42.84 [15089] BETA_OR : (left_convergent_lines(skolem_N7979, M38_436_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_436_8)))
% 293.42/42.84 -> [15092] left_convergent_lines(skolem_N7979, M38_436_8)
% 293.42/42.84 -> [15093] left_convergent_lines(skolem_N7979, reverse_line(M38_436_8))
% 293.42/42.84
% 293.42/42.84 [15092] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [15103] ~(left_apart_point(A39_837_9, L40_837_9) | left_apart_point(A39_837_9, reverse_line(L40_837_9)))
% 293.42/42.84
% 293.42/42.84 [15103] ALPHA_NOT_OR : ~(left_apart_point(A39_837_9, L40_837_9) | left_apart_point(A39_837_9, reverse_line(L40_837_9)))
% 293.42/42.84 -> [15105] ~left_apart_point(A39_837_9, L40_837_9), ~left_apart_point(A39_837_9, reverse_line(L40_837_9))
% 293.42/42.84
% 293.42/42.84 [15105] CLOSURE : ~left_apart_point(A39_837_9, L40_837_9)
% 293.42/42.84
% 293.42/42.84 [15093] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [15106] ~(left_apart_point(A39_838_9, L40_838_9) | left_apart_point(A39_838_9, reverse_line(L40_838_9)))
% 293.42/42.84
% 293.42/42.84 [15106] ALPHA_NOT_OR : ~(left_apart_point(A39_838_9, L40_838_9) | left_apart_point(A39_838_9, reverse_line(L40_838_9)))
% 293.42/42.84 -> [15109] ~left_apart_point(A39_838_9, L40_838_9), ~left_apart_point(A39_838_9, reverse_line(L40_838_9))
% 293.42/42.84
% 293.42/42.84 [15109] CLOSURE : ~left_apart_point(A39_838_9, L40_838_9)
% 293.42/42.84
% 293.42/42.84 [15088] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_436_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_436_8)))
% 293.42/42.84 -> [15180] ~unequally_directed_lines(skolem_N7979, M38_436_8)
% 293.42/42.84 -> [15181] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_436_8))
% 293.42/42.84
% 293.42/42.84 [15181] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_436_8))
% 293.42/42.84
% 293.42/42.84 [15180] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_436_8)
% 293.42/42.84
% 293.42/42.84 [15045] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [15050] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84 -> [15051] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [15050] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [15051] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [15120] ((unequally_directed_lines(skolem_N7979, M38_438_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_438_8))) => (left_convergent_lines(skolem_N7979, M38_438_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_438_8))))
% 293.42/42.84
% 293.42/42.84 [15120] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_438_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_438_8))) => (left_convergent_lines(skolem_N7979, M38_438_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_438_8))))
% 293.42/42.84 -> [15124] ~(unequally_directed_lines(skolem_N7979, M38_438_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_438_8)))
% 293.42/42.84 -> [15125] (left_convergent_lines(skolem_N7979, M38_438_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_438_8)))
% 293.42/42.84
% 293.42/42.84 [15125] BETA_OR : (left_convergent_lines(skolem_N7979, M38_438_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_438_8)))
% 293.42/42.84 -> [15131] left_convergent_lines(skolem_N7979, M38_438_8)
% 293.42/42.84 -> [15132] left_convergent_lines(skolem_N7979, reverse_line(M38_438_8))
% 293.42/42.84
% 293.42/42.84 [15131] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [15160] ~(left_apart_point(A39_848_9, L40_848_9) | left_apart_point(A39_848_9, reverse_line(L40_848_9)))
% 293.42/42.84
% 293.42/42.84 [15160] ALPHA_NOT_OR : ~(left_apart_point(A39_848_9, L40_848_9) | left_apart_point(A39_848_9, reverse_line(L40_848_9)))
% 293.42/42.84 -> [15162] ~left_apart_point(A39_848_9, L40_848_9), ~left_apart_point(A39_848_9, reverse_line(L40_848_9))
% 293.42/42.84
% 293.42/42.84 [15162] CLOSURE : ~left_apart_point(A39_848_9, L40_848_9)
% 293.42/42.84
% 293.42/42.84 [15132] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [15164] ~(left_apart_point(A39_850_9, L40_850_9) | left_apart_point(A39_850_9, reverse_line(L40_850_9)))
% 293.42/42.84
% 293.42/42.84 [15164] ALPHA_NOT_OR : ~(left_apart_point(A39_850_9, L40_850_9) | left_apart_point(A39_850_9, reverse_line(L40_850_9)))
% 293.42/42.84 -> [15167] ~left_apart_point(A39_850_9, L40_850_9), ~left_apart_point(A39_850_9, reverse_line(L40_850_9))
% 293.42/42.84
% 293.42/42.84 [15167] CLOSURE : ~left_apart_point(A39_850_9, L40_850_9)
% 293.42/42.84
% 293.42/42.84 [15124] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_438_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_438_8)))
% 293.42/42.84 -> [15141] ~unequally_directed_lines(skolem_N7979, M38_438_8)
% 293.42/42.84 -> [15142] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_438_8))
% 293.42/42.84
% 293.42/42.84 [15142] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_438_8))
% 293.42/42.84
% 293.42/42.84 [15141] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_438_8)
% 293.42/42.84
% 293.42/42.84 [705] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.84 -> [1514] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.84
% 293.42/42.84 [1514] 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))))
% 293.42/42.84 -> [2630] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.84
% 293.42/42.84 [2630] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.84 -> [2631] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.84 -> [2632] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.84
% 293.42/42.84 [2631] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.84
% 293.42/42.84 [2632] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.84 -> [4540] distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.84 -> [4541] distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.84
% 293.42/42.84 [4541] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.84
% 293.42/42.84 [4540] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.84 -> [4808] ~distinct_lines(N27_130_3, N27_130_3)
% 293.42/42.84
% 293.42/42.84 [4808] 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))))
% 293.42/42.84 -> [4903] (distinct_lines(N27_130_3, N27_130_3) => (distinct_lines(N27_130_3, N27_130_3) | distinct_lines(N27_130_3, N27_130_3)))
% 293.42/42.84
% 293.42/42.84 [4903] BETA_IMPLY : (distinct_lines(N27_130_3, N27_130_3) => (distinct_lines(N27_130_3, N27_130_3) | distinct_lines(N27_130_3, N27_130_3)))
% 293.42/42.84 -> [4904] ~distinct_lines(N27_130_3, N27_130_3)
% 293.42/42.84 -> [4905] (distinct_lines(N27_130_3, N27_130_3) | distinct_lines(N27_130_3, N27_130_3))
% 293.42/42.84
% 293.42/42.84 [4905] BETA_OR : (distinct_lines(N27_130_3, N27_130_3) | distinct_lines(N27_130_3, N27_130_3))
% 293.42/42.84 -> [4908] distinct_lines(N27_130_3, N27_130_3)
% 293.42/42.84 -> [4909] distinct_lines(N27_130_3, N27_130_3)
% 293.42/42.84
% 293.42/42.84 [4909] CLOSURE : distinct_lines(N27_130_3, N27_130_3)
% 293.42/42.84
% 293.42/42.84 [4908] CLOSURE : distinct_lines(N27_130_3, N27_130_3)
% 293.42/42.84
% 293.42/42.84 [4904] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.84 -> [4988] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [4988] 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))))
% 293.42/42.84 -> [5483] (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)))
% 293.42/42.84
% 293.42/42.84 [5483] 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)))
% 293.42/42.84 -> [5484] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84 -> [5485] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [5484] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [5485] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.84 -> [7968] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84 -> [7969] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [7968] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [7969] 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))))))
% 293.42/42.84 -> [10888] ((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)))))
% 293.42/42.84
% 293.42/42.84 [10888] 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)))))
% 293.42/42.84 -> [10889] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.84 -> [10890] ((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))))
% 293.42/42.84
% 293.42/42.84 [10889] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.84 -> [10895] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.84 -> [10896] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [10896] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [10895] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.84
% 293.42/42.84 [10890] 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))))
% 293.42/42.84 -> [14088] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [14089] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.84
% 293.42/42.84 [14088] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [14107] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [14107] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [14089] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [14095] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [14095] 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)))))
% 293.42/42.84 -> [14488] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.84
% 293.42/42.84 [14488] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.84 -> [14492] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.84 -> [14493] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84
% 293.42/42.84 [14493] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [14497] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84 -> [14498] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [14497] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [14498] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [14957] ((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))))
% 293.42/42.84
% 293.42/42.84 [14957] 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))))
% 293.42/42.84 -> [14960] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.84 -> [14961] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.84
% 293.42/42.84 [14961] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.84 -> [14963] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.84 -> [14964] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [14963] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [15470] ~(left_apart_point(A39_878_9, L40_878_9) | left_apart_point(A39_878_9, reverse_line(L40_878_9)))
% 293.42/42.84
% 293.42/42.84 [15470] ALPHA_NOT_OR : ~(left_apart_point(A39_878_9, L40_878_9) | left_apart_point(A39_878_9, reverse_line(L40_878_9)))
% 293.42/42.84 -> [15473] ~left_apart_point(A39_878_9, L40_878_9), ~left_apart_point(A39_878_9, reverse_line(L40_878_9))
% 293.42/42.84
% 293.42/42.84 [15473] CLOSURE : ~left_apart_point(A39_878_9, L40_878_9)
% 293.42/42.84
% 293.42/42.84 [14964] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [15521] ~(left_apart_point(A39_880_9, L40_880_9) | left_apart_point(A39_880_9, reverse_line(L40_880_9)))
% 293.42/42.84
% 293.42/42.84 [15521] ALPHA_NOT_OR : ~(left_apart_point(A39_880_9, L40_880_9) | left_apart_point(A39_880_9, reverse_line(L40_880_9)))
% 293.42/42.84 -> [15527] ~left_apart_point(A39_880_9, L40_880_9), ~left_apart_point(A39_880_9, reverse_line(L40_880_9))
% 293.42/42.84
% 293.42/42.84 [15527] CLOSURE : ~left_apart_point(A39_880_9, L40_880_9)
% 293.42/42.84
% 293.42/42.84 [14960] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.84 -> [15017] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.84 -> [15018] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [15018] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [15017] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.84
% 293.42/42.84 [14492] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.84 -> [14592] ~line(skolem_M7878)
% 293.42/42.84 -> [14593] ~line(skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [14592] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [15129] ((unequally_directed_lines(skolem_N7979, M38_439_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_439_8))) => (left_convergent_lines(skolem_N7979, M38_439_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_439_8))))
% 293.42/42.84
% 293.42/42.84 [15129] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_439_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_439_8))) => (left_convergent_lines(skolem_N7979, M38_439_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_439_8))))
% 293.42/42.84 -> [15135] ~(unequally_directed_lines(skolem_N7979, M38_439_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_439_8)))
% 293.42/42.84 -> [15136] (left_convergent_lines(skolem_N7979, M38_439_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_439_8)))
% 293.42/42.84
% 293.42/42.84 [15136] BETA_OR : (left_convergent_lines(skolem_N7979, M38_439_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_439_8)))
% 293.42/42.84 -> [15144] left_convergent_lines(skolem_N7979, M38_439_8)
% 293.42/42.84 -> [15145] left_convergent_lines(skolem_N7979, reverse_line(M38_439_8))
% 293.42/42.84
% 293.42/42.84 [15145] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [15650] ~(left_apart_point(A39_895_9, L40_895_9) | left_apart_point(A39_895_9, reverse_line(L40_895_9)))
% 293.42/42.84
% 293.42/42.84 [15650] ALPHA_NOT_OR : ~(left_apart_point(A39_895_9, L40_895_9) | left_apart_point(A39_895_9, reverse_line(L40_895_9)))
% 293.42/42.84 -> [15651] ~left_apart_point(A39_895_9, L40_895_9), ~left_apart_point(A39_895_9, reverse_line(L40_895_9))
% 293.42/42.84
% 293.42/42.84 [15651] CLOSURE : ~left_apart_point(A39_895_9, L40_895_9)
% 293.42/42.84
% 293.42/42.84 [15144] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [15737] ~(left_apart_point(A39_906_9, L40_906_9) | left_apart_point(A39_906_9, reverse_line(L40_906_9)))
% 293.42/42.84
% 293.42/42.84 [15737] ALPHA_NOT_OR : ~(left_apart_point(A39_906_9, L40_906_9) | left_apart_point(A39_906_9, reverse_line(L40_906_9)))
% 293.42/42.84 -> [15740] ~left_apart_point(A39_906_9, L40_906_9), ~left_apart_point(A39_906_9, reverse_line(L40_906_9))
% 293.42/42.84
% 293.42/42.84 [15740] CLOSURE : ~left_apart_point(A39_906_9, L40_906_9)
% 293.42/42.84
% 293.42/42.84 [15135] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_439_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_439_8)))
% 293.42/42.84 -> [15292] ~unequally_directed_lines(skolem_N7979, M38_439_8)
% 293.42/42.84 -> [15293] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_439_8))
% 293.42/42.84
% 293.42/42.84 [15293] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_439_8))
% 293.42/42.84
% 293.42/42.84 [15292] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_439_8)
% 293.42/42.84
% 293.42/42.84 [14593] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [14948] ((unequally_directed_lines(skolem_N7979, M38_430_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_430_8))) => (left_convergent_lines(skolem_N7979, M38_430_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_430_8))))
% 293.42/42.84
% 293.42/42.84 [14948] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_430_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_430_8))) => (left_convergent_lines(skolem_N7979, M38_430_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_430_8))))
% 293.42/42.84 -> [14950] ~(unequally_directed_lines(skolem_N7979, M38_430_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_430_8)))
% 293.42/42.84 -> [14951] (left_convergent_lines(skolem_N7979, M38_430_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_430_8)))
% 293.42/42.84
% 293.42/42.84 [14950] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_430_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_430_8)))
% 293.42/42.84 -> [15011] ~unequally_directed_lines(skolem_N7979, M38_430_8)
% 293.42/42.84 -> [15012] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_430_8))
% 293.42/42.84
% 293.42/42.84 [15012] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_430_8))
% 293.42/42.84
% 293.42/42.84 [15011] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_430_8)
% 293.42/42.84
% 293.42/42.84 [14951] BETA_OR : (left_convergent_lines(skolem_N7979, M38_430_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_430_8)))
% 293.42/42.84 -> [14952] left_convergent_lines(skolem_N7979, M38_430_8)
% 293.42/42.84 -> [14953] left_convergent_lines(skolem_N7979, reverse_line(M38_430_8))
% 293.42/42.84
% 293.42/42.84 [14953] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [17109] ~(left_apart_point(A39_1037_9, L40_1037_9) | left_apart_point(A39_1037_9, reverse_line(L40_1037_9)))
% 293.42/42.84
% 293.42/42.84 [17109] ALPHA_NOT_OR : ~(left_apart_point(A39_1037_9, L40_1037_9) | left_apart_point(A39_1037_9, reverse_line(L40_1037_9)))
% 293.42/42.84 -> [17114] ~left_apart_point(A39_1037_9, L40_1037_9), ~left_apart_point(A39_1037_9, reverse_line(L40_1037_9))
% 293.42/42.84
% 293.42/42.84 [17114] CLOSURE : ~left_apart_point(A39_1037_9, L40_1037_9)
% 293.42/42.84
% 293.42/42.84 [14952] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [17252] ~(left_apart_point(A39_1061_9, L40_1061_9) | left_apart_point(A39_1061_9, reverse_line(L40_1061_9)))
% 293.42/42.84
% 293.42/42.84 [17252] ALPHA_NOT_OR : ~(left_apart_point(A39_1061_9, L40_1061_9) | left_apart_point(A39_1061_9, reverse_line(L40_1061_9)))
% 293.42/42.84 -> [17255] ~left_apart_point(A39_1061_9, L40_1061_9), ~left_apart_point(A39_1061_9, reverse_line(L40_1061_9))
% 293.42/42.84
% 293.42/42.84 [17255] CLOSURE : ~left_apart_point(A39_1061_9, L40_1061_9)
% 293.42/42.84
% 293.42/42.84 [475] 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)))
% 293.42/42.84 -> [480] (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)))
% 293.42/42.84
% 293.42/42.84 [480] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.84 -> [554] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.42/42.84 -> [555] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [554] 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)))
% 293.42/42.84 -> [830] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 293.42/42.84 -> [831] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [830] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.84 -> [2050] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.84
% 293.42/42.84 [2050] 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))))
% 293.42/42.84 -> [2126] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.84
% 293.42/42.84 [2126] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.84 -> [2127] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.84 -> [2128] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.84
% 293.42/42.84 [2127] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.84
% 293.42/42.84 [2128] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.84 -> [2288] distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.84 -> [2289] distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.84
% 293.42/42.84 [2289] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.84
% 293.42/42.84 [2288] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.84 -> [4992] ~distinct_lines(N27_135_3, N27_135_3)
% 293.42/42.84
% 293.42/42.84 [4992] 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))))
% 293.42/42.84 -> [5080] (distinct_lines(N27_135_3, N27_135_3) => (distinct_lines(N27_135_3, N27_135_3) | distinct_lines(N27_135_3, N27_135_3)))
% 293.42/42.84
% 293.42/42.84 [5080] BETA_IMPLY : (distinct_lines(N27_135_3, N27_135_3) => (distinct_lines(N27_135_3, N27_135_3) | distinct_lines(N27_135_3, N27_135_3)))
% 293.42/42.84 -> [5081] ~distinct_lines(N27_135_3, N27_135_3)
% 293.42/42.84 -> [5082] (distinct_lines(N27_135_3, N27_135_3) | distinct_lines(N27_135_3, N27_135_3))
% 293.42/42.84
% 293.42/42.84 [5082] BETA_OR : (distinct_lines(N27_135_3, N27_135_3) | distinct_lines(N27_135_3, N27_135_3))
% 293.42/42.84 -> [5087] distinct_lines(N27_135_3, N27_135_3)
% 293.42/42.84 -> [5088] distinct_lines(N27_135_3, N27_135_3)
% 293.42/42.84
% 293.42/42.84 [5088] CLOSURE : distinct_lines(N27_135_3, N27_135_3)
% 293.42/42.84
% 293.42/42.84 [5087] CLOSURE : distinct_lines(N27_135_3, N27_135_3)
% 293.42/42.84
% 293.42/42.84 [5081] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.84 -> [5173] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [5173] 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))))
% 293.42/42.84 -> [5242] (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)))
% 293.42/42.84
% 293.42/42.84 [5242] 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)))
% 293.42/42.84 -> [5243] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84 -> [5244] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [5243] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [5244] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.84 -> [5893] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84 -> [5894] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [5893] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [5894] 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))))))
% 293.42/42.84 -> [6726] ((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)))))
% 293.42/42.84
% 293.42/42.84 [6726] 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)))))
% 293.42/42.84 -> [6727] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.84 -> [6728] ((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))))
% 293.42/42.84
% 293.42/42.84 [6727] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.84 -> [6741] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.84 -> [6742] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [6742] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [6741] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.84
% 293.42/42.84 [6728] 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))))
% 293.42/42.84 -> [10116] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [10117] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.84
% 293.42/42.84 [10116] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [10134] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [10134] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [10117] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [10123] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [10123] 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)))))
% 293.42/42.84 -> [10181] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.84
% 293.42/42.84 [10181] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.84 -> [10182] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.84 -> [10183] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84
% 293.42/42.84 [10182] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.84 -> [10190] ~line(skolem_M7878)
% 293.42/42.84 -> [10191] ~line(skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [10191] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [10239] ((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))))
% 293.42/42.84
% 293.42/42.84 [10239] 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))))
% 293.42/42.84 -> [10243] ~(unequally_directed_lines(skolem_N7979, M38_171_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_171_8)))
% 293.42/42.84 -> [10244] (left_convergent_lines(skolem_N7979, M38_171_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_171_8)))
% 293.42/42.84
% 293.42/42.84 [10243] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_171_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_171_8)))
% 293.42/42.84 -> [10284] ~unequally_directed_lines(skolem_N7979, M38_171_8)
% 293.42/42.84 -> [10285] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_171_8))
% 293.42/42.84
% 293.42/42.84 [10285] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_171_8))
% 293.42/42.84
% 293.42/42.84 [10284] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_171_8)
% 293.42/42.84
% 293.42/42.84 [10244] BETA_OR : (left_convergent_lines(skolem_N7979, M38_171_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_171_8)))
% 293.42/42.84 -> [10245] left_convergent_lines(skolem_N7979, M38_171_8)
% 293.42/42.84 -> [10246] left_convergent_lines(skolem_N7979, reverse_line(M38_171_8))
% 293.42/42.84
% 293.42/42.84 [10246] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [10360] ~(left_apart_point(A39_324_9, L40_324_9) | left_apart_point(A39_324_9, reverse_line(L40_324_9)))
% 293.42/42.84
% 293.42/42.84 [10360] ALPHA_NOT_OR : ~(left_apart_point(A39_324_9, L40_324_9) | left_apart_point(A39_324_9, reverse_line(L40_324_9)))
% 293.42/42.84 -> [10362] ~left_apart_point(A39_324_9, L40_324_9), ~left_apart_point(A39_324_9, reverse_line(L40_324_9))
% 293.42/42.84
% 293.42/42.84 [10362] CLOSURE : ~left_apart_point(A39_324_9, L40_324_9)
% 293.42/42.84
% 293.42/42.84 [10245] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [10428] ~(left_apart_point(A39_327_9, L40_327_9) | left_apart_point(A39_327_9, reverse_line(L40_327_9)))
% 293.42/42.84
% 293.42/42.84 [10428] ALPHA_NOT_OR : ~(left_apart_point(A39_327_9, L40_327_9) | left_apart_point(A39_327_9, reverse_line(L40_327_9)))
% 293.42/42.84 -> [10429] ~left_apart_point(A39_327_9, L40_327_9), ~left_apart_point(A39_327_9, reverse_line(L40_327_9))
% 293.42/42.84
% 293.42/42.84 [10429] CLOSURE : ~left_apart_point(A39_327_9, L40_327_9)
% 293.42/42.84
% 293.42/42.84 [10190] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [10274] ((unequally_directed_lines(skolem_N7979, M38_173_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_173_8))) => (left_convergent_lines(skolem_N7979, M38_173_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_173_8))))
% 293.42/42.84
% 293.42/42.84 [10274] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_173_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_173_8))) => (left_convergent_lines(skolem_N7979, M38_173_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_173_8))))
% 293.42/42.84 -> [10276] ~(unequally_directed_lines(skolem_N7979, M38_173_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_173_8)))
% 293.42/42.84 -> [10277] (left_convergent_lines(skolem_N7979, M38_173_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_173_8)))
% 293.42/42.84
% 293.42/42.84 [10276] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_173_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_173_8)))
% 293.42/42.84 -> [10297] ~unequally_directed_lines(skolem_N7979, M38_173_8)
% 293.42/42.84 -> [10298] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_173_8))
% 293.42/42.84
% 293.42/42.84 [10298] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_173_8))
% 293.42/42.84
% 293.42/42.84 [10297] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_173_8)
% 293.42/42.84
% 293.42/42.84 [10277] BETA_OR : (left_convergent_lines(skolem_N7979, M38_173_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_173_8)))
% 293.42/42.84 -> [10282] left_convergent_lines(skolem_N7979, M38_173_8)
% 293.42/42.84 -> [10283] left_convergent_lines(skolem_N7979, reverse_line(M38_173_8))
% 293.42/42.84
% 293.42/42.84 [10283] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [10419] ~(left_apart_point(A39_326_9, L40_326_9) | left_apart_point(A39_326_9, reverse_line(L40_326_9)))
% 293.42/42.84
% 293.42/42.84 [10419] ALPHA_NOT_OR : ~(left_apart_point(A39_326_9, L40_326_9) | left_apart_point(A39_326_9, reverse_line(L40_326_9)))
% 293.42/42.84 -> [10420] ~left_apart_point(A39_326_9, L40_326_9), ~left_apart_point(A39_326_9, reverse_line(L40_326_9))
% 293.42/42.84
% 293.42/42.84 [10420] CLOSURE : ~left_apart_point(A39_326_9, L40_326_9)
% 293.42/42.84
% 293.42/42.84 [10282] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [10457] ~(left_apart_point(A39_332_9, L40_332_9) | left_apart_point(A39_332_9, reverse_line(L40_332_9)))
% 293.42/42.84
% 293.42/42.84 [10457] ALPHA_NOT_OR : ~(left_apart_point(A39_332_9, L40_332_9) | left_apart_point(A39_332_9, reverse_line(L40_332_9)))
% 293.42/42.84 -> [10458] ~left_apart_point(A39_332_9, L40_332_9), ~left_apart_point(A39_332_9, reverse_line(L40_332_9))
% 293.42/42.84
% 293.42/42.84 [10458] CLOSURE : ~left_apart_point(A39_332_9, L40_332_9)
% 293.42/42.84
% 293.42/42.84 [10183] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [10184] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84 -> [10185] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [10184] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [10185] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [10249] ((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))))
% 293.42/42.84
% 293.42/42.84 [10249] 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))))
% 293.42/42.84 -> [10250] ~(unequally_directed_lines(skolem_N7979, M38_172_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_172_8)))
% 293.42/42.84 -> [10251] (left_convergent_lines(skolem_N7979, M38_172_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_172_8)))
% 293.42/42.84
% 293.42/42.84 [10251] BETA_OR : (left_convergent_lines(skolem_N7979, M38_172_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_172_8)))
% 293.42/42.84 -> [10253] left_convergent_lines(skolem_N7979, M38_172_8)
% 293.42/42.84 -> [10254] left_convergent_lines(skolem_N7979, reverse_line(M38_172_8))
% 293.42/42.84
% 293.42/42.84 [10254] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [10374] ~(left_apart_point(A39_325_9, L40_325_9) | left_apart_point(A39_325_9, reverse_line(L40_325_9)))
% 293.42/42.84
% 293.42/42.84 [10374] ALPHA_NOT_OR : ~(left_apart_point(A39_325_9, L40_325_9) | left_apart_point(A39_325_9, reverse_line(L40_325_9)))
% 293.42/42.84 -> [10375] ~left_apart_point(A39_325_9, L40_325_9), ~left_apart_point(A39_325_9, reverse_line(L40_325_9))
% 293.42/42.84
% 293.42/42.84 [10375] CLOSURE : ~left_apart_point(A39_325_9, L40_325_9)
% 293.42/42.84
% 293.42/42.84 [10253] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [10435] ~(left_apart_point(A39_329_9, L40_329_9) | left_apart_point(A39_329_9, reverse_line(L40_329_9)))
% 293.42/42.84
% 293.42/42.84 [10435] ALPHA_NOT_OR : ~(left_apart_point(A39_329_9, L40_329_9) | left_apart_point(A39_329_9, reverse_line(L40_329_9)))
% 293.42/42.84 -> [10438] ~left_apart_point(A39_329_9, L40_329_9), ~left_apart_point(A39_329_9, reverse_line(L40_329_9))
% 293.42/42.84
% 293.42/42.84 [10438] CLOSURE : ~left_apart_point(A39_329_9, L40_329_9)
% 293.42/42.84
% 293.42/42.84 [10250] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_172_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_172_8)))
% 293.42/42.84 -> [10292] ~unequally_directed_lines(skolem_N7979, M38_172_8)
% 293.42/42.84 -> [10293] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_172_8))
% 293.42/42.84
% 293.42/42.84 [10293] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_172_8))
% 293.42/42.84
% 293.42/42.84 [10292] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_172_8)
% 293.42/42.84
% 293.42/42.84 [831] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.84 -> [2372] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.84
% 293.42/42.84 [2372] 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))))
% 293.42/42.84 -> [2421] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.84
% 293.42/42.84 [2421] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.84 -> [2422] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.84 -> [2423] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.84
% 293.42/42.84 [2422] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.84
% 293.42/42.84 [2423] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.84 -> [6133] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.84 -> [6134] distinct_points(skolem_A8080, skolem_B8181)
% 293.42/42.84
% 293.42/42.84 [6133] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.84
% 293.42/42.84 [6134] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.84 -> [6820] ~distinct_lines(N27_220_3, N27_220_3)
% 293.42/42.84
% 293.42/42.84 [6820] 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))))
% 293.42/42.84 -> [6837] (distinct_lines(N27_220_3, N27_220_3) => (distinct_lines(N27_220_3, N27_220_3) | distinct_lines(N27_220_3, N27_220_3)))
% 293.42/42.84
% 293.42/42.84 [6837] BETA_IMPLY : (distinct_lines(N27_220_3, N27_220_3) => (distinct_lines(N27_220_3, N27_220_3) | distinct_lines(N27_220_3, N27_220_3)))
% 293.42/42.84 -> [6840] ~distinct_lines(N27_220_3, N27_220_3)
% 293.42/42.84 -> [6841] (distinct_lines(N27_220_3, N27_220_3) | distinct_lines(N27_220_3, N27_220_3))
% 293.42/42.84
% 293.42/42.84 [6841] BETA_OR : (distinct_lines(N27_220_3, N27_220_3) | distinct_lines(N27_220_3, N27_220_3))
% 293.42/42.84 -> [6842] distinct_lines(N27_220_3, N27_220_3)
% 293.42/42.84 -> [6843] distinct_lines(N27_220_3, N27_220_3)
% 293.42/42.84
% 293.42/42.84 [6842] CLOSURE : distinct_lines(N27_220_3, N27_220_3)
% 293.42/42.84
% 293.42/42.84 [6843] CLOSURE : distinct_lines(N27_220_3, N27_220_3)
% 293.42/42.84
% 293.42/42.84 [6840] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.84 -> [6853] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [6853] 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))))
% 293.42/42.84 -> [6887] (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)))
% 293.42/42.84
% 293.42/42.84 [6887] 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)))
% 293.42/42.84 -> [6888] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84 -> [6889] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [6888] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [6889] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.84 -> [9359] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84 -> [9360] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [9359] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [9360] 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))))))
% 293.42/42.84 -> [10488] ((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)))))
% 293.42/42.84
% 293.42/42.84 [10488] 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)))))
% 293.42/42.84 -> [10490] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.84 -> [10491] ((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))))
% 293.42/42.84
% 293.42/42.84 [10490] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.84 -> [10550] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.84 -> [10551] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [10551] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [10550] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.84
% 293.42/42.84 [10491] 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))))
% 293.42/42.84 -> [15565] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [15566] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.84
% 293.42/42.84 [15565] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [15673] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [15673] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [15566] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [15574] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [15574] 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)))))
% 293.42/42.84 -> [16628] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.84
% 293.42/42.84 [16628] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.84 -> [16633] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.84 -> [16634] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84
% 293.42/42.84 [16634] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [16643] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84 -> [16644] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [16643] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [16644] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [17455] ((unequally_directed_lines(skolem_N7979, M38_583_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_583_8))) => (left_convergent_lines(skolem_N7979, M38_583_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_583_8))))
% 293.42/42.84
% 293.42/42.84 [17455] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_583_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_583_8))) => (left_convergent_lines(skolem_N7979, M38_583_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_583_8))))
% 293.42/42.84 -> [17465] ~(unequally_directed_lines(skolem_N7979, M38_583_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_583_8)))
% 293.42/42.84 -> [17466] (left_convergent_lines(skolem_N7979, M38_583_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_583_8)))
% 293.42/42.84
% 293.42/42.84 [17466] BETA_OR : (left_convergent_lines(skolem_N7979, M38_583_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_583_8)))
% 293.42/42.84 -> [20157] left_convergent_lines(skolem_N7979, M38_583_8)
% 293.42/42.84 -> [20158] left_convergent_lines(skolem_N7979, reverse_line(M38_583_8))
% 293.42/42.84
% 293.42/42.84 [20158] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [20355] ~(left_apart_point(A39_1470_9, L40_1470_9) | left_apart_point(A39_1470_9, reverse_line(L40_1470_9)))
% 293.42/42.84
% 293.42/42.84 [20355] ALPHA_NOT_OR : ~(left_apart_point(A39_1470_9, L40_1470_9) | left_apart_point(A39_1470_9, reverse_line(L40_1470_9)))
% 293.42/42.84 -> [20357] ~left_apart_point(A39_1470_9, L40_1470_9), ~left_apart_point(A39_1470_9, reverse_line(L40_1470_9))
% 293.42/42.84
% 293.42/42.84 [20357] CLOSURE : ~left_apart_point(A39_1470_9, L40_1470_9)
% 293.42/42.84
% 293.42/42.84 [20157] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [20408] ~(left_apart_point(A39_1481_9, L40_1481_9) | left_apart_point(A39_1481_9, reverse_line(L40_1481_9)))
% 293.42/42.84
% 293.42/42.84 [20408] ALPHA_NOT_OR : ~(left_apart_point(A39_1481_9, L40_1481_9) | left_apart_point(A39_1481_9, reverse_line(L40_1481_9)))
% 293.42/42.84 -> [20409] ~left_apart_point(A39_1481_9, L40_1481_9), ~left_apart_point(A39_1481_9, reverse_line(L40_1481_9))
% 293.42/42.84
% 293.42/42.84 [20409] CLOSURE : ~left_apart_point(A39_1481_9, L40_1481_9)
% 293.42/42.84
% 293.42/42.84 [17465] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_583_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_583_8)))
% 293.42/42.84 -> [20225] ~unequally_directed_lines(skolem_N7979, M38_583_8)
% 293.42/42.84 -> [20226] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_583_8))
% 293.42/42.84
% 293.42/42.84 [20226] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_583_8))
% 293.42/42.84
% 293.42/42.84 [20225] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_583_8)
% 293.42/42.84
% 293.42/42.84 [16633] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.84 -> [16845] ~line(skolem_M7878)
% 293.42/42.84 -> [16846] ~line(skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [16845] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [17561] ((unequally_directed_lines(skolem_N7979, M38_590_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_590_8))) => (left_convergent_lines(skolem_N7979, M38_590_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_590_8))))
% 293.42/42.84
% 293.42/42.84 [17561] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_590_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_590_8))) => (left_convergent_lines(skolem_N7979, M38_590_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_590_8))))
% 293.42/42.84 -> [17565] ~(unequally_directed_lines(skolem_N7979, M38_590_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_590_8)))
% 293.42/42.84 -> [17566] (left_convergent_lines(skolem_N7979, M38_590_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_590_8)))
% 293.42/42.84
% 293.42/42.84 [17565] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_590_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_590_8)))
% 293.42/42.84 -> [17621] ~unequally_directed_lines(skolem_N7979, M38_590_8)
% 293.42/42.84 -> [17622] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_590_8))
% 293.42/42.84
% 293.42/42.84 [17622] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_590_8))
% 293.42/42.84
% 293.42/42.84 [17621] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_590_8)
% 293.42/42.84
% 293.42/42.84 [17566] BETA_OR : (left_convergent_lines(skolem_N7979, M38_590_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_590_8)))
% 293.42/42.84 -> [17570] left_convergent_lines(skolem_N7979, M38_590_8)
% 293.42/42.84 -> [17571] left_convergent_lines(skolem_N7979, reverse_line(M38_590_8))
% 293.42/42.84
% 293.42/42.84 [17571] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [17768] ~(left_apart_point(A39_1146_9, L40_1146_9) | left_apart_point(A39_1146_9, reverse_line(L40_1146_9)))
% 293.42/42.84
% 293.42/42.84 [17768] ALPHA_NOT_OR : ~(left_apart_point(A39_1146_9, L40_1146_9) | left_apart_point(A39_1146_9, reverse_line(L40_1146_9)))
% 293.42/42.84 -> [17769] ~left_apart_point(A39_1146_9, L40_1146_9), ~left_apart_point(A39_1146_9, reverse_line(L40_1146_9))
% 293.42/42.84
% 293.42/42.84 [17769] CLOSURE : ~left_apart_point(A39_1146_9, L40_1146_9)
% 293.42/42.84
% 293.42/42.84 [17570] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [21138] ~(left_apart_point(A39_1544_9, L40_1544_9) | left_apart_point(A39_1544_9, reverse_line(L40_1544_9)))
% 293.42/42.84
% 293.42/42.84 [21138] ALPHA_NOT_OR : ~(left_apart_point(A39_1544_9, L40_1544_9) | left_apart_point(A39_1544_9, reverse_line(L40_1544_9)))
% 293.42/42.84 -> [21140] ~left_apart_point(A39_1544_9, L40_1544_9), ~left_apart_point(A39_1544_9, reverse_line(L40_1544_9))
% 293.42/42.84
% 293.42/42.84 [21140] CLOSURE : ~left_apart_point(A39_1544_9, L40_1544_9)
% 293.42/42.84
% 293.42/42.84 [16846] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [17446] ((unequally_directed_lines(skolem_N7979, M38_582_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_582_8))) => (left_convergent_lines(skolem_N7979, M38_582_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_582_8))))
% 293.42/42.84
% 293.42/42.84 [17446] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_582_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_582_8))) => (left_convergent_lines(skolem_N7979, M38_582_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_582_8))))
% 293.42/42.84 -> [17447] ~(unequally_directed_lines(skolem_N7979, M38_582_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_582_8)))
% 293.42/42.84 -> [17448] (left_convergent_lines(skolem_N7979, M38_582_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_582_8)))
% 293.42/42.84
% 293.42/42.84 [17448] BETA_OR : (left_convergent_lines(skolem_N7979, M38_582_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_582_8)))
% 293.42/42.84 -> [17451] left_convergent_lines(skolem_N7979, M38_582_8)
% 293.42/42.84 -> [17452] left_convergent_lines(skolem_N7979, reverse_line(M38_582_8))
% 293.42/42.84
% 293.42/42.84 [17452] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [17712] ~(left_apart_point(A39_1139_9, L40_1139_9) | left_apart_point(A39_1139_9, reverse_line(L40_1139_9)))
% 293.42/42.84
% 293.42/42.84 [17712] ALPHA_NOT_OR : ~(left_apart_point(A39_1139_9, L40_1139_9) | left_apart_point(A39_1139_9, reverse_line(L40_1139_9)))
% 293.42/42.84 -> [17714] ~left_apart_point(A39_1139_9, L40_1139_9), ~left_apart_point(A39_1139_9, reverse_line(L40_1139_9))
% 293.42/42.84
% 293.42/42.84 [17714] CLOSURE : ~left_apart_point(A39_1139_9, L40_1139_9)
% 293.42/42.84
% 293.42/42.84 [17451] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [18474] ~(left_apart_point(A39_1227_9, L40_1227_9) | left_apart_point(A39_1227_9, reverse_line(L40_1227_9)))
% 293.42/42.84
% 293.42/42.84 [18474] ALPHA_NOT_OR : ~(left_apart_point(A39_1227_9, L40_1227_9) | left_apart_point(A39_1227_9, reverse_line(L40_1227_9)))
% 293.42/42.84 -> [18477] ~left_apart_point(A39_1227_9, L40_1227_9), ~left_apart_point(A39_1227_9, reverse_line(L40_1227_9))
% 293.42/42.84
% 293.42/42.84 [18477] CLOSURE : ~left_apart_point(A39_1227_9, L40_1227_9)
% 293.42/42.84
% 293.42/42.84 [17447] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_582_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_582_8)))
% 293.42/42.84 -> [17574] ~unequally_directed_lines(skolem_N7979, M38_582_8)
% 293.42/42.84 -> [17575] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_582_8))
% 293.42/42.84
% 293.42/42.84 [17574] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_582_8)
% 293.42/42.84
% 293.42/42.84 [17575] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_582_8))
% 293.42/42.84
% 293.42/42.84 [555] 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)))
% 293.42/42.84 -> [728] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 293.42/42.84 -> [729] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [729] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.84 -> [816] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.84
% 293.42/42.84 [816] 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))))
% 293.42/42.84 -> [1371] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.84
% 293.42/42.84 [1371] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.84 -> [1375] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.84 -> [1376] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.84
% 293.42/42.84 [1375] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.84
% 293.42/42.84 [1376] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.84 -> [2045] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.84 -> [2046] distinct_points(skolem_A8080, skolem_B8181)
% 293.42/42.84
% 293.42/42.84 [2045] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.84
% 293.42/42.84 [2046] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.84 -> [5981] ~distinct_lines(N27_194_3, N27_194_3)
% 293.42/42.84
% 293.42/42.84 [5981] 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))))
% 293.42/42.84 -> [6220] (distinct_lines(N27_194_3, N27_194_3) => (distinct_lines(N27_194_3, N27_194_3) | distinct_lines(N27_194_3, N27_194_3)))
% 293.42/42.84
% 293.42/42.84 [6220] BETA_IMPLY : (distinct_lines(N27_194_3, N27_194_3) => (distinct_lines(N27_194_3, N27_194_3) | distinct_lines(N27_194_3, N27_194_3)))
% 293.42/42.84 -> [6225] ~distinct_lines(N27_194_3, N27_194_3)
% 293.42/42.84 -> [6226] (distinct_lines(N27_194_3, N27_194_3) | distinct_lines(N27_194_3, N27_194_3))
% 293.42/42.84
% 293.42/42.84 [6226] BETA_OR : (distinct_lines(N27_194_3, N27_194_3) | distinct_lines(N27_194_3, N27_194_3))
% 293.42/42.84 -> [6231] distinct_lines(N27_194_3, N27_194_3)
% 293.42/42.84 -> [6232] distinct_lines(N27_194_3, N27_194_3)
% 293.42/42.84
% 293.42/42.84 [6231] CLOSURE : distinct_lines(N27_194_3, N27_194_3)
% 293.42/42.84
% 293.42/42.84 [6232] CLOSURE : distinct_lines(N27_194_3, N27_194_3)
% 293.42/42.84
% 293.42/42.84 [6225] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.84 -> [6526] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [6526] 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))))
% 293.42/42.84 -> [7010] (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)))
% 293.42/42.84
% 293.42/42.84 [7010] 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)))
% 293.42/42.84 -> [7011] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84 -> [7012] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [7011] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [7012] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.84 -> [8700] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84 -> [8701] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [8700] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [8701] 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))))))
% 293.42/42.84 -> [12789] ((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)))))
% 293.42/42.84
% 293.42/42.84 [12789] 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)))))
% 293.42/42.84 -> [12793] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.84 -> [12794] ((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))))
% 293.42/42.84
% 293.42/42.84 [12793] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.84 -> [12824] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.84 -> [12825] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [12825] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [12824] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.84
% 293.42/42.84 [12794] 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))))
% 293.42/42.84 -> [15367] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [15368] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.84
% 293.42/42.84 [15368] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [15370] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [15370] 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)))))
% 293.42/42.84 -> [15392] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.84
% 293.42/42.84 [15392] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.84 -> [15393] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.84 -> [15394] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84
% 293.42/42.84 [15393] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.84 -> [15408] ~line(skolem_M7878)
% 293.42/42.84 -> [15409] ~line(skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [15409] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [15430] ((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))))
% 293.42/42.84
% 293.42/42.84 [15430] 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))))
% 293.42/42.84 -> [15432] ~(unequally_directed_lines(skolem_N7979, M38_453_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_453_8)))
% 293.42/42.84 -> [15433] (left_convergent_lines(skolem_N7979, M38_453_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_453_8)))
% 293.42/42.84
% 293.42/42.84 [15432] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_453_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_453_8)))
% 293.42/42.84 -> [15480] ~unequally_directed_lines(skolem_N7979, M38_453_8)
% 293.42/42.84 -> [15481] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_453_8))
% 293.42/42.84
% 293.42/42.84 [15481] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_453_8))
% 293.42/42.84
% 293.42/42.84 [15480] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_453_8)
% 293.42/42.84
% 293.42/42.84 [15433] BETA_OR : (left_convergent_lines(skolem_N7979, M38_453_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_453_8)))
% 293.42/42.84 -> [15438] left_convergent_lines(skolem_N7979, M38_453_8)
% 293.42/42.84 -> [15439] left_convergent_lines(skolem_N7979, reverse_line(M38_453_8))
% 293.42/42.84
% 293.42/42.84 [15439] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [15528] ~(left_apart_point(A39_881_9, L40_881_9) | left_apart_point(A39_881_9, reverse_line(L40_881_9)))
% 293.42/42.84
% 293.42/42.84 [15528] ALPHA_NOT_OR : ~(left_apart_point(A39_881_9, L40_881_9) | left_apart_point(A39_881_9, reverse_line(L40_881_9)))
% 293.42/42.84 -> [15529] ~left_apart_point(A39_881_9, L40_881_9), ~left_apart_point(A39_881_9, reverse_line(L40_881_9))
% 293.42/42.84
% 293.42/42.84 [15529] CLOSURE : ~left_apart_point(A39_881_9, L40_881_9)
% 293.42/42.84
% 293.42/42.84 [15438] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [15567] ~(left_apart_point(A39_884_9, L40_884_9) | left_apart_point(A39_884_9, reverse_line(L40_884_9)))
% 293.42/42.84
% 293.42/42.84 [15567] ALPHA_NOT_OR : ~(left_apart_point(A39_884_9, L40_884_9) | left_apart_point(A39_884_9, reverse_line(L40_884_9)))
% 293.42/42.84 -> [15569] ~left_apart_point(A39_884_9, L40_884_9), ~left_apart_point(A39_884_9, reverse_line(L40_884_9))
% 293.42/42.84
% 293.42/42.84 [15569] CLOSURE : ~left_apart_point(A39_884_9, L40_884_9)
% 293.42/42.84
% 293.42/42.84 [15408] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [15464] ((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))))
% 293.42/42.84
% 293.42/42.84 [15464] 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))))
% 293.42/42.84 -> [15467] ~(unequally_directed_lines(skolem_N7979, M38_455_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_455_8)))
% 293.42/42.84 -> [15468] (left_convergent_lines(skolem_N7979, M38_455_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_455_8)))
% 293.42/42.84
% 293.42/42.84 [15467] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_455_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_455_8)))
% 293.42/42.84 -> [15500] ~unequally_directed_lines(skolem_N7979, M38_455_8)
% 293.42/42.84 -> [15501] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_455_8))
% 293.42/42.84
% 293.42/42.84 [15501] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_455_8))
% 293.42/42.84
% 293.42/42.84 [15500] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_455_8)
% 293.42/42.84
% 293.42/42.84 [15468] BETA_OR : (left_convergent_lines(skolem_N7979, M38_455_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_455_8)))
% 293.42/42.84 -> [15476] left_convergent_lines(skolem_N7979, M38_455_8)
% 293.42/42.84 -> [15477] left_convergent_lines(skolem_N7979, reverse_line(M38_455_8))
% 293.42/42.84
% 293.42/42.84 [15477] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [15555] ~(left_apart_point(A39_883_9, L40_883_9) | left_apart_point(A39_883_9, reverse_line(L40_883_9)))
% 293.42/42.84
% 293.42/42.84 [15555] ALPHA_NOT_OR : ~(left_apart_point(A39_883_9, L40_883_9) | left_apart_point(A39_883_9, reverse_line(L40_883_9)))
% 293.42/42.84 -> [15556] ~left_apart_point(A39_883_9, L40_883_9), ~left_apart_point(A39_883_9, reverse_line(L40_883_9))
% 293.42/42.84
% 293.42/42.84 [15556] CLOSURE : ~left_apart_point(A39_883_9, L40_883_9)
% 293.42/42.84
% 293.42/42.84 [15476] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [15593] ~(left_apart_point(A39_886_9, L40_886_9) | left_apart_point(A39_886_9, reverse_line(L40_886_9)))
% 293.42/42.84
% 293.42/42.84 [15593] ALPHA_NOT_OR : ~(left_apart_point(A39_886_9, L40_886_9) | left_apart_point(A39_886_9, reverse_line(L40_886_9)))
% 293.42/42.84 -> [15596] ~left_apart_point(A39_886_9, L40_886_9), ~left_apart_point(A39_886_9, reverse_line(L40_886_9))
% 293.42/42.84
% 293.42/42.84 [15596] CLOSURE : ~left_apart_point(A39_886_9, L40_886_9)
% 293.42/42.84
% 293.42/42.84 [15394] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [15395] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84 -> [15396] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [15395] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [15396] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [15449] ((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))))
% 293.42/42.84
% 293.42/42.84 [15449] 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))))
% 293.42/42.84 -> [15452] ~(unequally_directed_lines(skolem_N7979, M38_454_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_454_8)))
% 293.42/42.84 -> [15453] (left_convergent_lines(skolem_N7979, M38_454_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_454_8)))
% 293.42/42.84
% 293.42/42.84 [15453] BETA_OR : (left_convergent_lines(skolem_N7979, M38_454_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_454_8)))
% 293.42/42.84 -> [15455] left_convergent_lines(skolem_N7979, M38_454_8)
% 293.42/42.84 -> [15456] left_convergent_lines(skolem_N7979, reverse_line(M38_454_8))
% 293.42/42.84
% 293.42/42.84 [15456] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [15538] ~(left_apart_point(A39_882_9, L40_882_9) | left_apart_point(A39_882_9, reverse_line(L40_882_9)))
% 293.42/42.84
% 293.42/42.84 [15538] ALPHA_NOT_OR : ~(left_apart_point(A39_882_9, L40_882_9) | left_apart_point(A39_882_9, reverse_line(L40_882_9)))
% 293.42/42.84 -> [15542] ~left_apart_point(A39_882_9, L40_882_9), ~left_apart_point(A39_882_9, reverse_line(L40_882_9))
% 293.42/42.84
% 293.42/42.84 [15542] CLOSURE : ~left_apart_point(A39_882_9, L40_882_9)
% 293.42/42.84
% 293.42/42.84 [15455] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [15581] ~(left_apart_point(A39_885_9, L40_885_9) | left_apart_point(A39_885_9, reverse_line(L40_885_9)))
% 293.42/42.84
% 293.42/42.84 [15581] ALPHA_NOT_OR : ~(left_apart_point(A39_885_9, L40_885_9) | left_apart_point(A39_885_9, reverse_line(L40_885_9)))
% 293.42/42.84 -> [15584] ~left_apart_point(A39_885_9, L40_885_9), ~left_apart_point(A39_885_9, reverse_line(L40_885_9))
% 293.42/42.84
% 293.42/42.84 [15584] CLOSURE : ~left_apart_point(A39_885_9, L40_885_9)
% 293.42/42.84
% 293.42/42.84 [15452] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_454_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_454_8)))
% 293.42/42.84 -> [15493] ~unequally_directed_lines(skolem_N7979, M38_454_8)
% 293.42/42.84 -> [15494] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_454_8))
% 293.42/42.84
% 293.42/42.84 [15494] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_454_8))
% 293.42/42.84
% 293.42/42.84 [15493] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_454_8)
% 293.42/42.84
% 293.42/42.84 [15367] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [15373] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [15373] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [728] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.84 -> [812] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.84
% 293.42/42.84 [812] 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))))
% 293.42/42.84 -> [1248] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.84
% 293.42/42.84 [1248] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.84 -> [1249] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.84 -> [1250] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.84
% 293.42/42.84 [1249] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.84
% 293.42/42.84 [1250] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.84 -> [3219] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.84 -> [3220] distinct_points(skolem_A8080, skolem_B8181)
% 293.42/42.84
% 293.42/42.84 [3219] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.84
% 293.42/42.84 [3220] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.84 -> [4089] ~distinct_lines(N27_93_3, N27_93_3)
% 293.42/42.84
% 293.42/42.84 [4089] 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))))
% 293.42/42.84 -> [4185] (distinct_lines(N27_93_3, N27_93_3) => (distinct_lines(N27_93_3, N27_93_3) | distinct_lines(N27_93_3, N27_93_3)))
% 293.42/42.84
% 293.42/42.84 [4185] BETA_IMPLY : (distinct_lines(N27_93_3, N27_93_3) => (distinct_lines(N27_93_3, N27_93_3) | distinct_lines(N27_93_3, N27_93_3)))
% 293.42/42.84 -> [4188] ~distinct_lines(N27_93_3, N27_93_3)
% 293.42/42.84 -> [4189] (distinct_lines(N27_93_3, N27_93_3) | distinct_lines(N27_93_3, N27_93_3))
% 293.42/42.84
% 293.42/42.84 [4189] BETA_OR : (distinct_lines(N27_93_3, N27_93_3) | distinct_lines(N27_93_3, N27_93_3))
% 293.42/42.84 -> [4192] distinct_lines(N27_93_3, N27_93_3)
% 293.42/42.84 -> [4193] distinct_lines(N27_93_3, N27_93_3)
% 293.42/42.84
% 293.42/42.84 [4192] CLOSURE : distinct_lines(N27_93_3, N27_93_3)
% 293.42/42.84
% 293.42/42.84 [4193] CLOSURE : distinct_lines(N27_93_3, N27_93_3)
% 293.42/42.84
% 293.42/42.84 [4188] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.84 -> [4588] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [4588] 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))))
% 293.42/42.84 -> [4634] (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))))
% 293.42/42.84
% 293.42/42.84 [4634] 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))))
% 293.42/42.84 -> [4635] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84 -> [4636] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.84
% 293.42/42.84 [4635] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [4636] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.84 -> [8574] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84 -> [8575] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [8575] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [8574] 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))))))
% 293.42/42.84 -> [15790] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_218_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_218_6))) | (unequally_directed_lines(skolem_N7979, N34_218_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_218_6)))))
% 293.42/42.84
% 293.42/42.84 [15790] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_218_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_218_6))) | (unequally_directed_lines(skolem_N7979, N34_218_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_218_6)))))
% 293.42/42.84 -> [15795] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.84 -> [15796] ((unequally_directed_lines(skolem_M7878, N34_218_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_218_6))) | (unequally_directed_lines(skolem_N7979, N34_218_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_218_6))))
% 293.42/42.84
% 293.42/42.84 [15795] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.84 -> [15824] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.84 -> [15825] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [15825] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [15824] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.84
% 293.42/42.84 [15796] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_218_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_218_6))) | (unequally_directed_lines(skolem_N7979, N34_218_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_218_6))))
% 293.42/42.84 -> [19939] (unequally_directed_lines(skolem_M7878, N34_218_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_218_6)))
% 293.42/42.84 -> [19940] (unequally_directed_lines(skolem_N7979, N34_218_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_218_6)))
% 293.42/42.84
% 293.42/42.84 [19939] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_218_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_218_6)))
% 293.42/42.84 -> [19964] unequally_directed_lines(skolem_M7878, N34_218_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_218_6))
% 293.42/42.84
% 293.42/42.84 [19964] 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)))))
% 293.42/42.84 -> [20284] ((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)))))
% 293.42/42.84
% 293.42/42.84 [20284] 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)))))
% 293.42/42.84 -> [20285] ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.84 -> [20286] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))
% 293.42/42.84
% 293.42/42.84 [20285] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.84 -> [20316] ~line(skolem_L7777)
% 293.42/42.84 -> [20317] ~line(line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.84
% 293.42/42.84 [20317] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [20484] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.84
% 293.42/42.84 [20484] 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))))
% 293.42/42.84 -> [20485] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [20486] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.84
% 293.42/42.84 [20485] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [20531] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.84 -> [20532] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [20532] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [20531] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [20486] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [20495] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.84 -> [20496] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [20496] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [21356] ~(left_apart_point(A39_1568_9, L40_1568_9) | left_apart_point(A39_1568_9, reverse_line(L40_1568_9)))
% 293.42/42.84
% 293.42/42.84 [21356] ALPHA_NOT_OR : ~(left_apart_point(A39_1568_9, L40_1568_9) | left_apart_point(A39_1568_9, reverse_line(L40_1568_9)))
% 293.42/42.84 -> [21357] ~left_apart_point(A39_1568_9, L40_1568_9), ~left_apart_point(A39_1568_9, reverse_line(L40_1568_9))
% 293.42/42.84
% 293.42/42.84 [21357] CLOSURE : ~left_apart_point(A39_1568_9, L40_1568_9)
% 293.42/42.84
% 293.42/42.84 [20495] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [21432] ~(left_apart_point(A39_1584_9, L40_1584_9) | left_apart_point(A39_1584_9, reverse_line(L40_1584_9)))
% 293.42/42.84
% 293.42/42.84 [21432] ALPHA_NOT_OR : ~(left_apart_point(A39_1584_9, L40_1584_9) | left_apart_point(A39_1584_9, reverse_line(L40_1584_9)))
% 293.42/42.84 -> [21433] ~left_apart_point(A39_1584_9, L40_1584_9), ~left_apart_point(A39_1584_9, reverse_line(L40_1584_9))
% 293.42/42.84
% 293.42/42.84 [21433] CLOSURE : ~left_apart_point(A39_1584_9, L40_1584_9)
% 293.42/42.84
% 293.42/42.84 [20316] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [20514] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.84
% 293.42/42.84 [20514] 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))))
% 293.42/42.84 -> [20517] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [20518] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.84
% 293.42/42.84 [20517] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [20546] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.84 -> [20547] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [20547] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [20546] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [20518] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [20524] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.84 -> [20525] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [20524] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [21273] ~(left_apart_point(A39_1557_9, L40_1557_9) | left_apart_point(A39_1557_9, reverse_line(L40_1557_9)))
% 293.42/42.84
% 293.42/42.84 [21273] ALPHA_NOT_OR : ~(left_apart_point(A39_1557_9, L40_1557_9) | left_apart_point(A39_1557_9, reverse_line(L40_1557_9)))
% 293.42/42.84 -> [21274] ~left_apart_point(A39_1557_9, L40_1557_9), ~left_apart_point(A39_1557_9, reverse_line(L40_1557_9))
% 293.42/42.84
% 293.42/42.84 [21274] CLOSURE : ~left_apart_point(A39_1557_9, L40_1557_9)
% 293.42/42.84
% 293.42/42.84 [20525] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [21682] ~(left_apart_point(A39_1623_9, L40_1623_9) | left_apart_point(A39_1623_9, reverse_line(L40_1623_9)))
% 293.42/42.84
% 293.42/42.84 [21682] ALPHA_NOT_OR : ~(left_apart_point(A39_1623_9, L40_1623_9) | left_apart_point(A39_1623_9, reverse_line(L40_1623_9)))
% 293.42/42.84 -> [21683] ~left_apart_point(A39_1623_9, L40_1623_9), ~left_apart_point(A39_1623_9, reverse_line(L40_1623_9))
% 293.42/42.84
% 293.42/42.84 [21683] CLOSURE : ~left_apart_point(A39_1623_9, L40_1623_9)
% 293.42/42.84
% 293.42/42.84 [20286] 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))))
% 293.42/42.84 -> [20288] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.84 -> [20289] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.84
% 293.42/42.84 [20288] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.84
% 293.42/42.84 [20289] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [25031] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.84
% 293.42/42.84 [25031] 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))))
% 293.42/42.84 -> [25034] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [25035] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.84
% 293.42/42.84 [25035] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [25042] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.84 -> [25043] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [25042] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [25054] ~(left_apart_point(A39_2123_9, L40_2123_9) | left_apart_point(A39_2123_9, reverse_line(L40_2123_9)))
% 293.42/42.84
% 293.42/42.84 [25054] ALPHA_NOT_OR : ~(left_apart_point(A39_2123_9, L40_2123_9) | left_apart_point(A39_2123_9, reverse_line(L40_2123_9)))
% 293.42/42.84 -> [25059] ~left_apart_point(A39_2123_9, L40_2123_9), ~left_apart_point(A39_2123_9, reverse_line(L40_2123_9))
% 293.42/42.84
% 293.42/42.84 [25059] CLOSURE : ~left_apart_point(A39_2123_9, L40_2123_9)
% 293.42/42.84
% 293.42/42.84 [25043] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [25053] ~(left_apart_point(A39_2122_9, L40_2122_9) | left_apart_point(A39_2122_9, reverse_line(L40_2122_9)))
% 293.42/42.84
% 293.42/42.84 [25053] ALPHA_NOT_OR : ~(left_apart_point(A39_2122_9, L40_2122_9) | left_apart_point(A39_2122_9, reverse_line(L40_2122_9)))
% 293.42/42.84 -> [25057] ~left_apart_point(A39_2122_9, L40_2122_9), ~left_apart_point(A39_2122_9, reverse_line(L40_2122_9))
% 293.42/42.84
% 293.42/42.84 [25057] CLOSURE : ~left_apart_point(A39_2122_9, L40_2122_9)
% 293.42/42.84
% 293.42/42.84 [25034] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [25046] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.84 -> [25047] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [25047] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [25046] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [19940] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_218_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_218_6)))
% 293.42/42.84 -> [19943] unequally_directed_lines(skolem_N7979, N34_218_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_218_6))
% 293.42/42.84
% 293.42/42.84 [19943] 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)))))
% 293.42/42.84 -> [20124] ((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)))))
% 293.42/42.84
% 293.42/42.84 [20124] 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)))))
% 293.42/42.84 -> [20125] ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.84 -> [20126] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 293.42/42.84
% 293.42/42.84 [20125] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.84 -> [20199] ~line(reverse_line(skolem_N7979))
% 293.42/42.84 -> [20200] ~line(reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [20200] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [20386] ((unequally_directed_lines(skolem_N7979, M38_766_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_766_8))) => (left_convergent_lines(skolem_N7979, M38_766_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_766_8))))
% 293.42/42.84
% 293.42/42.84 [20386] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_766_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_766_8))) => (left_convergent_lines(skolem_N7979, M38_766_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_766_8))))
% 293.42/42.84 -> [20388] ~(unequally_directed_lines(skolem_N7979, M38_766_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_766_8)))
% 293.42/42.84 -> [20389] (left_convergent_lines(skolem_N7979, M38_766_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_766_8)))
% 293.42/42.84
% 293.42/42.84 [20388] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_766_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_766_8)))
% 293.42/42.84 -> [20432] ~unequally_directed_lines(skolem_N7979, M38_766_8)
% 293.42/42.84 -> [20433] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_766_8))
% 293.42/42.84
% 293.42/42.84 [20433] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_766_8))
% 293.42/42.84
% 293.42/42.84 [20432] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_766_8)
% 293.42/42.84
% 293.42/42.84 [20389] BETA_OR : (left_convergent_lines(skolem_N7979, M38_766_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_766_8)))
% 293.42/42.84 -> [20395] left_convergent_lines(skolem_N7979, M38_766_8)
% 293.42/42.84 -> [20396] left_convergent_lines(skolem_N7979, reverse_line(M38_766_8))
% 293.42/42.84
% 293.42/42.84 [20396] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [20535] ~(left_apart_point(A39_1497_9, L40_1497_9) | left_apart_point(A39_1497_9, reverse_line(L40_1497_9)))
% 293.42/42.84
% 293.42/42.84 [20535] ALPHA_NOT_OR : ~(left_apart_point(A39_1497_9, L40_1497_9) | left_apart_point(A39_1497_9, reverse_line(L40_1497_9)))
% 293.42/42.84 -> [20536] ~left_apart_point(A39_1497_9, L40_1497_9), ~left_apart_point(A39_1497_9, reverse_line(L40_1497_9))
% 293.42/42.84
% 293.42/42.84 [20536] CLOSURE : ~left_apart_point(A39_1497_9, L40_1497_9)
% 293.42/42.84
% 293.42/42.84 [20395] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [20569] ~(left_apart_point(A39_1501_9, L40_1501_9) | left_apart_point(A39_1501_9, reverse_line(L40_1501_9)))
% 293.42/42.84
% 293.42/42.84 [20569] ALPHA_NOT_OR : ~(left_apart_point(A39_1501_9, L40_1501_9) | left_apart_point(A39_1501_9, reverse_line(L40_1501_9)))
% 293.42/42.84 -> [20572] ~left_apart_point(A39_1501_9, L40_1501_9), ~left_apart_point(A39_1501_9, reverse_line(L40_1501_9))
% 293.42/42.84
% 293.42/42.84 [20572] CLOSURE : ~left_apart_point(A39_1501_9, L40_1501_9)
% 293.42/42.84
% 293.42/42.84 [20199] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [20419] ((unequally_directed_lines(skolem_N7979, M38_767_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_767_8))) => (left_convergent_lines(skolem_N7979, M38_767_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_767_8))))
% 293.42/42.84
% 293.42/42.84 [20419] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_767_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_767_8))) => (left_convergent_lines(skolem_N7979, M38_767_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_767_8))))
% 293.42/42.84 -> [20420] ~(unequally_directed_lines(skolem_N7979, M38_767_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_767_8)))
% 293.42/42.84 -> [20421] (left_convergent_lines(skolem_N7979, M38_767_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_767_8)))
% 293.42/42.84
% 293.42/42.84 [20420] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_767_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_767_8)))
% 293.42/42.84 -> [20443] ~unequally_directed_lines(skolem_N7979, M38_767_8)
% 293.42/42.84 -> [20444] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_767_8))
% 293.42/42.84
% 293.42/42.84 [20444] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_767_8))
% 293.42/42.84
% 293.42/42.84 [20443] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_767_8)
% 293.42/42.84
% 293.42/42.84 [20421] BETA_OR : (left_convergent_lines(skolem_N7979, M38_767_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_767_8)))
% 293.42/42.84 -> [20427] left_convergent_lines(skolem_N7979, M38_767_8)
% 293.42/42.84 -> [20428] left_convergent_lines(skolem_N7979, reverse_line(M38_767_8))
% 293.42/42.84
% 293.42/42.84 [20428] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [20592] ~(left_apart_point(A39_1504_9, L40_1504_9) | left_apart_point(A39_1504_9, reverse_line(L40_1504_9)))
% 293.42/42.84
% 293.42/42.84 [20592] ALPHA_NOT_OR : ~(left_apart_point(A39_1504_9, L40_1504_9) | left_apart_point(A39_1504_9, reverse_line(L40_1504_9)))
% 293.42/42.84 -> [20593] ~left_apart_point(A39_1504_9, L40_1504_9), ~left_apart_point(A39_1504_9, reverse_line(L40_1504_9))
% 293.42/42.84
% 293.42/42.84 [20593] CLOSURE : ~left_apart_point(A39_1504_9, L40_1504_9)
% 293.42/42.84
% 293.42/42.84 [20427] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [20638] ~(left_apart_point(A39_1507_9, L40_1507_9) | left_apart_point(A39_1507_9, reverse_line(L40_1507_9)))
% 293.42/42.84
% 293.42/42.84 [20638] ALPHA_NOT_OR : ~(left_apart_point(A39_1507_9, L40_1507_9) | left_apart_point(A39_1507_9, reverse_line(L40_1507_9)))
% 293.42/42.84 -> [20640] ~left_apart_point(A39_1507_9, L40_1507_9), ~left_apart_point(A39_1507_9, reverse_line(L40_1507_9))
% 293.42/42.84
% 293.42/42.84 [20640] CLOSURE : ~left_apart_point(A39_1507_9, L40_1507_9)
% 293.42/42.84
% 293.42/42.84 [20126] 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))))
% 293.42/42.84 -> [20132] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.84 -> [20133] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 293.42/42.84
% 293.42/42.84 [20132] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [20133] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [24628] ((unequally_directed_lines(skolem_N7979, M38_1049_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1049_8))) => (left_convergent_lines(skolem_N7979, M38_1049_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1049_8))))
% 293.42/42.84
% 293.42/42.84 [24628] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1049_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1049_8))) => (left_convergent_lines(skolem_N7979, M38_1049_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1049_8))))
% 293.42/42.84 -> [24631] ~(unequally_directed_lines(skolem_N7979, M38_1049_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1049_8)))
% 293.42/42.84 -> [24632] (left_convergent_lines(skolem_N7979, M38_1049_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1049_8)))
% 293.42/42.84
% 293.42/42.84 [24632] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1049_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1049_8)))
% 293.42/42.84 -> [24635] left_convergent_lines(skolem_N7979, M38_1049_8)
% 293.42/42.84 -> [24636] left_convergent_lines(skolem_N7979, reverse_line(M38_1049_8))
% 293.42/42.84
% 293.42/42.84 [24636] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [25593] ~(left_apart_point(A39_2197_9, L40_2197_9) | left_apart_point(A39_2197_9, reverse_line(L40_2197_9)))
% 293.42/42.84
% 293.42/42.84 [25593] ALPHA_NOT_OR : ~(left_apart_point(A39_2197_9, L40_2197_9) | left_apart_point(A39_2197_9, reverse_line(L40_2197_9)))
% 293.42/42.84 -> [25594] ~left_apart_point(A39_2197_9, L40_2197_9), ~left_apart_point(A39_2197_9, reverse_line(L40_2197_9))
% 293.42/42.84
% 293.42/42.84 [25594] CLOSURE : ~left_apart_point(A39_2197_9, L40_2197_9)
% 293.42/42.84
% 293.42/42.84 [24635] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [25595] ~(left_apart_point(A39_2198_9, L40_2198_9) | left_apart_point(A39_2198_9, reverse_line(L40_2198_9)))
% 293.42/42.84
% 293.42/42.84 [25595] ALPHA_NOT_OR : ~(left_apart_point(A39_2198_9, L40_2198_9) | left_apart_point(A39_2198_9, reverse_line(L40_2198_9)))
% 293.42/42.84 -> [25596] ~left_apart_point(A39_2198_9, L40_2198_9), ~left_apart_point(A39_2198_9, reverse_line(L40_2198_9))
% 293.42/42.84
% 293.42/42.84 [25596] CLOSURE : ~left_apart_point(A39_2198_9, L40_2198_9)
% 293.42/42.84
% 293.42/42.84 [24631] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1049_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1049_8)))
% 293.42/42.84 -> [25454] ~unequally_directed_lines(skolem_N7979, M38_1049_8)
% 293.42/42.84 -> [25455] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1049_8))
% 293.42/42.84
% 293.42/42.84 [25455] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1049_8))
% 293.42/42.84
% 293.42/42.84 [25454] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1049_8)
% 293.42/42.84
% 293.42/42.84 [465] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.84 -> [558] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))
% 293.42/42.84 -> [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)))
% 293.42/42.84
% 293.42/42.84 [558] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.84 -> [708] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.84
% 293.42/42.84 [708] 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))))
% 293.42/42.84 -> [2587] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.84
% 293.42/42.84 [2587] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.84 -> [2590] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.84 -> [2591] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.84
% 293.42/42.84 [2590] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.84
% 293.42/42.84 [2591] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.84 -> [2908] distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.84 -> [2909] distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.84
% 293.42/42.84 [2909] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.84
% 293.42/42.84 [2908] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.84 -> [3285] ~distinct_lines(N27_49_3, N27_49_3)
% 293.42/42.84
% 293.42/42.84 [3285] 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))))
% 293.42/42.84 -> [3296] (distinct_lines(N27_49_3, N27_49_3) => (distinct_lines(N27_49_3, N27_49_3) | distinct_lines(N27_49_3, N27_49_3)))
% 293.42/42.84
% 293.42/42.84 [3296] 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)))
% 293.42/42.84 -> [3298] ~distinct_lines(N27_49_3, N27_49_3)
% 293.42/42.84 -> [3299] (distinct_lines(N27_49_3, N27_49_3) | distinct_lines(N27_49_3, N27_49_3))
% 293.42/42.84
% 293.42/42.84 [3299] BETA_OR : (distinct_lines(N27_49_3, N27_49_3) | distinct_lines(N27_49_3, N27_49_3))
% 293.42/42.84 -> [3306] distinct_lines(N27_49_3, N27_49_3)
% 293.42/42.84 -> [3307] distinct_lines(N27_49_3, N27_49_3)
% 293.42/42.84
% 293.42/42.84 [3307] CLOSURE : distinct_lines(N27_49_3, N27_49_3)
% 293.42/42.84
% 293.42/42.84 [3306] CLOSURE : distinct_lines(N27_49_3, N27_49_3)
% 293.42/42.84
% 293.42/42.84 [3298] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.84 -> [3328] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [3328] 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))))
% 293.42/42.84 -> [3387] (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)))
% 293.42/42.84
% 293.42/42.84 [3387] 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)))
% 293.42/42.84 -> [3388] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84 -> [3389] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [3388] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [3389] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.84 -> [4876] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84 -> [4877] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [4876] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [4877] 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))))))
% 293.42/42.84 -> [5045] ((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)))))
% 293.42/42.84
% 293.42/42.84 [5045] 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)))))
% 293.42/42.84 -> [5046] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.84 -> [5047] ((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))))
% 293.42/42.84
% 293.42/42.84 [5046] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.84 -> [5064] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.84 -> [5065] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [5065] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [5064] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.84
% 293.42/42.84 [5047] 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))))
% 293.42/42.84 -> [6509] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [6510] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.84
% 293.42/42.84 [6509] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [6516] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [6516] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [6510] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [6513] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [6513] 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)))))
% 293.42/42.84 -> [6529] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.84
% 293.42/42.84 [6529] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.84 -> [6531] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.84 -> [6532] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84
% 293.42/42.84 [6531] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.84 -> [6545] ~line(skolem_M7878)
% 293.42/42.84 -> [6546] ~line(skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [6546] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [6592] ((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))))
% 293.42/42.84
% 293.42/42.84 [6592] 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))))
% 293.42/42.84 -> [6595] ~(unequally_directed_lines(skolem_N7979, M38_43_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_43_8)))
% 293.42/42.84 -> [6596] (left_convergent_lines(skolem_N7979, M38_43_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_43_8)))
% 293.42/42.84
% 293.42/42.84 [6595] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_43_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_43_8)))
% 293.42/42.84 -> [6607] ~unequally_directed_lines(skolem_N7979, M38_43_8)
% 293.42/42.84 -> [6608] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_43_8))
% 293.42/42.84
% 293.42/42.84 [6608] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_43_8))
% 293.42/42.84
% 293.42/42.84 [6607] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_43_8)
% 293.42/42.84
% 293.42/42.84 [6596] BETA_OR : (left_convergent_lines(skolem_N7979, M38_43_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_43_8)))
% 293.42/42.84 -> [6601] left_convergent_lines(skolem_N7979, M38_43_8)
% 293.42/42.84 -> [6602] left_convergent_lines(skolem_N7979, reverse_line(M38_43_8))
% 293.42/42.84
% 293.42/42.84 [6601] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [6672] ~(left_apart_point(A39_86_9, L40_86_9) | left_apart_point(A39_86_9, reverse_line(L40_86_9)))
% 293.42/42.84
% 293.42/42.84 [6672] ALPHA_NOT_OR : ~(left_apart_point(A39_86_9, L40_86_9) | left_apart_point(A39_86_9, reverse_line(L40_86_9)))
% 293.42/42.84 -> [6673] ~left_apart_point(A39_86_9, L40_86_9), ~left_apart_point(A39_86_9, reverse_line(L40_86_9))
% 293.42/42.84
% 293.42/42.84 [6673] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.84 -> [7351] ~(left_convergent_lines(L41_38_10, M42_38_10) | left_convergent_lines(L41_38_10, reverse_line(M42_38_10)))
% 293.42/42.84
% 293.42/42.84 [7351] ALPHA_NOT_OR : ~(left_convergent_lines(L41_38_10, M42_38_10) | left_convergent_lines(L41_38_10, reverse_line(M42_38_10)))
% 293.42/42.84 -> [7353] ~left_convergent_lines(L41_38_10, M42_38_10), ~left_convergent_lines(L41_38_10, reverse_line(M42_38_10))
% 293.42/42.84
% 293.42/42.84 [7353] CLOSURE : ~left_convergent_lines(L41_38_10, M42_38_10)
% 293.42/42.84
% 293.42/42.84 [6602] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [6659] ~(left_apart_point(A39_84_9, L40_84_9) | left_apart_point(A39_84_9, reverse_line(L40_84_9)))
% 293.42/42.84
% 293.42/42.84 [6659] ALPHA_NOT_OR : ~(left_apart_point(A39_84_9, L40_84_9) | left_apart_point(A39_84_9, reverse_line(L40_84_9)))
% 293.42/42.84 -> [6660] ~left_apart_point(A39_84_9, L40_84_9), ~left_apart_point(A39_84_9, reverse_line(L40_84_9))
% 293.42/42.84
% 293.42/42.84 [6660] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.84 -> [6745] ~(left_convergent_lines(L41_35_10, M42_35_10) | left_convergent_lines(L41_35_10, reverse_line(M42_35_10)))
% 293.42/42.84
% 293.42/42.84 [6745] ALPHA_NOT_OR : ~(left_convergent_lines(L41_35_10, M42_35_10) | left_convergent_lines(L41_35_10, reverse_line(M42_35_10)))
% 293.42/42.84 -> [6746] ~left_convergent_lines(L41_35_10, M42_35_10), ~left_convergent_lines(L41_35_10, reverse_line(M42_35_10))
% 293.42/42.84
% 293.42/42.84 [6746] CLOSURE : ~left_convergent_lines(L41_35_10, M42_35_10)
% 293.42/42.84
% 293.42/42.84 [6545] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [6573] ((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))))
% 293.42/42.84
% 293.42/42.84 [6573] 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))))
% 293.42/42.84 -> [6576] ~(unequally_directed_lines(skolem_N7979, M38_42_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_42_8)))
% 293.42/42.84 -> [6577] (left_convergent_lines(skolem_N7979, M38_42_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_42_8)))
% 293.42/42.84
% 293.42/42.84 [6576] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_42_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_42_8)))
% 293.42/42.84 -> [6605] ~unequally_directed_lines(skolem_N7979, M38_42_8)
% 293.42/42.84 -> [6606] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_42_8))
% 293.42/42.84
% 293.42/42.84 [6606] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_42_8))
% 293.42/42.84
% 293.42/42.84 [6605] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_42_8)
% 293.42/42.84
% 293.42/42.84 [6577] BETA_OR : (left_convergent_lines(skolem_N7979, M38_42_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_42_8)))
% 293.42/42.84 -> [6585] left_convergent_lines(skolem_N7979, M38_42_8)
% 293.42/42.84 -> [6586] left_convergent_lines(skolem_N7979, reverse_line(M38_42_8))
% 293.42/42.84
% 293.42/42.84 [6586] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [6645] ~(left_apart_point(A39_83_9, L40_83_9) | left_apart_point(A39_83_9, reverse_line(L40_83_9)))
% 293.42/42.84
% 293.42/42.84 [6645] ALPHA_NOT_OR : ~(left_apart_point(A39_83_9, L40_83_9) | left_apart_point(A39_83_9, reverse_line(L40_83_9)))
% 293.42/42.84 -> [6652] ~left_apart_point(A39_83_9, L40_83_9), ~left_apart_point(A39_83_9, reverse_line(L40_83_9))
% 293.42/42.84
% 293.42/42.84 [6652] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.84 -> [6771] ~(left_convergent_lines(L41_37_10, M42_37_10) | left_convergent_lines(L41_37_10, reverse_line(M42_37_10)))
% 293.42/42.84
% 293.42/42.84 [6771] ALPHA_NOT_OR : ~(left_convergent_lines(L41_37_10, M42_37_10) | left_convergent_lines(L41_37_10, reverse_line(M42_37_10)))
% 293.42/42.84 -> [6773] ~left_convergent_lines(L41_37_10, M42_37_10), ~left_convergent_lines(L41_37_10, reverse_line(M42_37_10))
% 293.42/42.84
% 293.42/42.84 [6773] CLOSURE : ~left_convergent_lines(L41_37_10, M42_37_10)
% 293.42/42.84
% 293.42/42.84 [6585] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [6670] ~(left_apart_point(A39_85_9, L40_85_9) | left_apart_point(A39_85_9, reverse_line(L40_85_9)))
% 293.42/42.84
% 293.42/42.84 [6670] ALPHA_NOT_OR : ~(left_apart_point(A39_85_9, L40_85_9) | left_apart_point(A39_85_9, reverse_line(L40_85_9)))
% 293.42/42.84 -> [6671] ~left_apart_point(A39_85_9, L40_85_9), ~left_apart_point(A39_85_9, reverse_line(L40_85_9))
% 293.42/42.84
% 293.42/42.84 [6671] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.84 -> [6760] ~(left_convergent_lines(L41_36_10, M42_36_10) | left_convergent_lines(L41_36_10, reverse_line(M42_36_10)))
% 293.42/42.84
% 293.42/42.84 [6760] ALPHA_NOT_OR : ~(left_convergent_lines(L41_36_10, M42_36_10) | left_convergent_lines(L41_36_10, reverse_line(M42_36_10)))
% 293.42/42.84 -> [6761] ~left_convergent_lines(L41_36_10, M42_36_10), ~left_convergent_lines(L41_36_10, reverse_line(M42_36_10))
% 293.42/42.84
% 293.42/42.84 [6761] CLOSURE : ~left_convergent_lines(L41_36_10, M42_36_10)
% 293.42/42.84
% 293.42/42.84 [6532] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [6535] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84 -> [6536] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [6535] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [6536] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [6561] ((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))))
% 293.42/42.84
% 293.42/42.84 [6561] 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))))
% 293.42/42.84 -> [6562] ~(unequally_directed_lines(skolem_N7979, M38_41_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_41_8)))
% 293.42/42.84 -> [6563] (left_convergent_lines(skolem_N7979, M38_41_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_41_8)))
% 293.42/42.84
% 293.42/42.84 [6562] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_41_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_41_8)))
% 293.42/42.84 -> [6603] ~unequally_directed_lines(skolem_N7979, M38_41_8)
% 293.42/42.84 -> [6604] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_41_8))
% 293.42/42.84
% 293.42/42.84 [6604] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_41_8))
% 293.42/42.84
% 293.42/42.84 [6603] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_41_8)
% 293.42/42.84
% 293.42/42.84 [6563] BETA_OR : (left_convergent_lines(skolem_N7979, M38_41_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_41_8)))
% 293.42/42.84 -> [6566] left_convergent_lines(skolem_N7979, M38_41_8)
% 293.42/42.84 -> [6567] left_convergent_lines(skolem_N7979, reverse_line(M38_41_8))
% 293.42/42.84
% 293.42/42.84 [6567] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [6634] ~(left_apart_point(A39_82_9, L40_82_9) | left_apart_point(A39_82_9, reverse_line(L40_82_9)))
% 293.42/42.84
% 293.42/42.84 [6634] ALPHA_NOT_OR : ~(left_apart_point(A39_82_9, L40_82_9) | left_apart_point(A39_82_9, reverse_line(L40_82_9)))
% 293.42/42.84 -> [6635] ~left_apart_point(A39_82_9, L40_82_9), ~left_apart_point(A39_82_9, reverse_line(L40_82_9))
% 293.42/42.84
% 293.42/42.84 [6635] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.84 -> [6736] ~(left_convergent_lines(L41_34_10, M42_34_10) | left_convergent_lines(L41_34_10, reverse_line(M42_34_10)))
% 293.42/42.84
% 293.42/42.84 [6736] ALPHA_NOT_OR : ~(left_convergent_lines(L41_34_10, M42_34_10) | left_convergent_lines(L41_34_10, reverse_line(M42_34_10)))
% 293.42/42.84 -> [6739] ~left_convergent_lines(L41_34_10, M42_34_10), ~left_convergent_lines(L41_34_10, reverse_line(M42_34_10))
% 293.42/42.84
% 293.42/42.84 [6739] CLOSURE : ~left_convergent_lines(L41_34_10, M42_34_10)
% 293.42/42.84
% 293.42/42.84 [6566] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [6674] ~(left_apart_point(A39_87_9, L40_87_9) | left_apart_point(A39_87_9, reverse_line(L40_87_9)))
% 293.42/42.84
% 293.42/42.84 [6674] ALPHA_NOT_OR : ~(left_apart_point(A39_87_9, L40_87_9) | left_apart_point(A39_87_9, reverse_line(L40_87_9)))
% 293.42/42.84 -> [6675] ~left_apart_point(A39_87_9, L40_87_9), ~left_apart_point(A39_87_9, reverse_line(L40_87_9))
% 293.42/42.84
% 293.42/42.84 [6675] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.84 -> [7528] ~(left_convergent_lines(L41_41_10, M42_41_10) | left_convergent_lines(L41_41_10, reverse_line(M42_41_10)))
% 293.42/42.84
% 293.42/42.84 [7528] ALPHA_NOT_OR : ~(left_convergent_lines(L41_41_10, M42_41_10) | left_convergent_lines(L41_41_10, reverse_line(M42_41_10)))
% 293.42/42.84 -> [7529] ~left_convergent_lines(L41_41_10, M42_41_10), ~left_convergent_lines(L41_41_10, reverse_line(M42_41_10))
% 293.42/42.84
% 293.42/42.84 [7529] CLOSURE : ~left_convergent_lines(L41_41_10, M42_41_10)
% 293.42/42.84
% 293.42/42.84 [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)))
% 293.42/42.84 -> [562] (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)))
% 293.42/42.84
% 293.42/42.84 [562] 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)))
% 293.42/42.84 -> [563] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 293.42/42.84 -> [564] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [564] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.84 -> [1153] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.84
% 293.42/42.84 [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))))
% 293.42/42.84 -> [1593] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.84
% 293.42/42.84 [1593] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.84 -> [1594] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.84 -> [1595] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.84
% 293.42/42.84 [1594] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.84
% 293.42/42.84 [1595] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.84 -> [5184] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.84 -> [5185] distinct_points(skolem_A8080, skolem_B8181)
% 293.42/42.84
% 293.42/42.84 [5184] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.84
% 293.42/42.84 [5185] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.84 -> [7165] ~distinct_lines(N27_240_3, N27_240_3)
% 293.42/42.84
% 293.42/42.84 [7165] 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))))
% 293.42/42.84 -> [7387] (distinct_lines(N27_240_3, N27_240_3) => (distinct_lines(N27_240_3, N27_240_3) | distinct_lines(N27_240_3, N27_240_3)))
% 293.42/42.84
% 293.42/42.84 [7387] BETA_IMPLY : (distinct_lines(N27_240_3, N27_240_3) => (distinct_lines(N27_240_3, N27_240_3) | distinct_lines(N27_240_3, N27_240_3)))
% 293.42/42.84 -> [7388] ~distinct_lines(N27_240_3, N27_240_3)
% 293.42/42.84 -> [7389] (distinct_lines(N27_240_3, N27_240_3) | distinct_lines(N27_240_3, N27_240_3))
% 293.42/42.84
% 293.42/42.84 [7389] BETA_OR : (distinct_lines(N27_240_3, N27_240_3) | distinct_lines(N27_240_3, N27_240_3))
% 293.42/42.84 -> [7390] distinct_lines(N27_240_3, N27_240_3)
% 293.42/42.84 -> [7391] distinct_lines(N27_240_3, N27_240_3)
% 293.42/42.84
% 293.42/42.84 [7390] CLOSURE : distinct_lines(N27_240_3, N27_240_3)
% 293.42/42.84
% 293.42/42.84 [7391] CLOSURE : distinct_lines(N27_240_3, N27_240_3)
% 293.42/42.84
% 293.42/42.84 [7388] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.84 -> [7867] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [7867] 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))))
% 293.42/42.84 -> [8001] (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)))
% 293.42/42.84
% 293.42/42.84 [8001] 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)))
% 293.42/42.84 -> [8002] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84 -> [8003] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [8002] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [8003] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.84 -> [15982] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84 -> [15983] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [15982] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [15983] 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))))))
% 293.42/42.84 -> [19818] ((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)))))
% 293.42/42.84
% 293.42/42.84 [19818] 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)))))
% 293.42/42.84 -> [19822] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.84 -> [19823] ((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))))
% 293.42/42.84
% 293.42/42.84 [19822] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.84 -> [19873] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.84 -> [19874] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [19874] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [19873] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.84
% 293.42/42.84 [19823] 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))))
% 293.42/42.84 -> [23908] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [23909] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.84
% 293.42/42.84 [23908] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [23922] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [23922] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [23909] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [23917] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [23917] 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)))))
% 293.42/42.84 -> [23938] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.84
% 293.42/42.84 [23938] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.84 -> [23942] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.84 -> [23943] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84
% 293.42/42.84 [23943] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.84 -> [23946] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84 -> [23947] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.84
% 293.42/42.84 [23946] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [23947] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [23987] ((unequally_directed_lines(skolem_N7979, M38_1002_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1002_8))) => (left_convergent_lines(skolem_N7979, M38_1002_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1002_8))))
% 293.42/42.84
% 293.42/42.84 [23987] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1002_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1002_8))) => (left_convergent_lines(skolem_N7979, M38_1002_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1002_8))))
% 293.42/42.84 -> [23990] ~(unequally_directed_lines(skolem_N7979, M38_1002_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1002_8)))
% 293.42/42.84 -> [23991] (left_convergent_lines(skolem_N7979, M38_1002_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1002_8)))
% 293.42/42.84
% 293.42/42.84 [23991] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1002_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1002_8)))
% 293.42/42.84 -> [23995] left_convergent_lines(skolem_N7979, M38_1002_8)
% 293.42/42.84 -> [23996] left_convergent_lines(skolem_N7979, reverse_line(M38_1002_8))
% 293.42/42.84
% 293.42/42.84 [23996] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [24050] ~(left_apart_point(A39_1976_9, L40_1976_9) | left_apart_point(A39_1976_9, reverse_line(L40_1976_9)))
% 293.42/42.84
% 293.42/42.84 [24050] ALPHA_NOT_OR : ~(left_apart_point(A39_1976_9, L40_1976_9) | left_apart_point(A39_1976_9, reverse_line(L40_1976_9)))
% 293.42/42.84 -> [24051] ~left_apart_point(A39_1976_9, L40_1976_9), ~left_apart_point(A39_1976_9, reverse_line(L40_1976_9))
% 293.42/42.84
% 293.42/42.84 [24051] CLOSURE : ~left_apart_point(A39_1976_9, L40_1976_9)
% 293.42/42.84
% 293.42/42.84 [23995] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [24070] ~(left_apart_point(A39_1981_9, L40_1981_9) | left_apart_point(A39_1981_9, reverse_line(L40_1981_9)))
% 293.42/42.84
% 293.42/42.84 [24070] ALPHA_NOT_OR : ~(left_apart_point(A39_1981_9, L40_1981_9) | left_apart_point(A39_1981_9, reverse_line(L40_1981_9)))
% 293.42/42.84 -> [24071] ~left_apart_point(A39_1981_9, L40_1981_9), ~left_apart_point(A39_1981_9, reverse_line(L40_1981_9))
% 293.42/42.84
% 293.42/42.84 [24071] CLOSURE : ~left_apart_point(A39_1981_9, L40_1981_9)
% 293.42/42.84
% 293.42/42.84 [23990] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1002_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1002_8)))
% 293.42/42.84 -> [24023] ~unequally_directed_lines(skolem_N7979, M38_1002_8)
% 293.42/42.84 -> [24024] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1002_8))
% 293.42/42.84
% 293.42/42.84 [24024] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1002_8))
% 293.42/42.84
% 293.42/42.84 [24023] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1002_8)
% 293.42/42.84
% 293.42/42.84 [23942] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.84 -> [23955] ~line(skolem_M7878)
% 293.42/42.84 -> [23956] ~line(skolem_M7878)
% 293.42/42.84
% 293.42/42.84 [23956] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [23978] ((unequally_directed_lines(skolem_N7979, M38_1001_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1001_8))) => (left_convergent_lines(skolem_N7979, M38_1001_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1001_8))))
% 293.42/42.84
% 293.42/42.84 [23978] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1001_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1001_8))) => (left_convergent_lines(skolem_N7979, M38_1001_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1001_8))))
% 293.42/42.84 -> [23979] ~(unequally_directed_lines(skolem_N7979, M38_1001_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1001_8)))
% 293.42/42.84 -> [23980] (left_convergent_lines(skolem_N7979, M38_1001_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1001_8)))
% 293.42/42.84
% 293.42/42.84 [23980] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1001_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1001_8)))
% 293.42/42.84 -> [23983] left_convergent_lines(skolem_N7979, M38_1001_8)
% 293.42/42.84 -> [23985] left_convergent_lines(skolem_N7979, reverse_line(M38_1001_8))
% 293.42/42.84
% 293.42/42.84 [23985] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [24039] ~(left_apart_point(A39_1974_9, L40_1974_9) | left_apart_point(A39_1974_9, reverse_line(L40_1974_9)))
% 293.42/42.84
% 293.42/42.84 [24039] ALPHA_NOT_OR : ~(left_apart_point(A39_1974_9, L40_1974_9) | left_apart_point(A39_1974_9, reverse_line(L40_1974_9)))
% 293.42/42.84 -> [24040] ~left_apart_point(A39_1974_9, L40_1974_9), ~left_apart_point(A39_1974_9, reverse_line(L40_1974_9))
% 293.42/42.84
% 293.42/42.84 [24040] CLOSURE : ~left_apart_point(A39_1974_9, L40_1974_9)
% 293.42/42.84
% 293.42/42.84 [23983] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [24063] ~(left_apart_point(A39_1979_9, L40_1979_9) | left_apart_point(A39_1979_9, reverse_line(L40_1979_9)))
% 293.42/42.84
% 293.42/42.84 [24063] ALPHA_NOT_OR : ~(left_apart_point(A39_1979_9, L40_1979_9) | left_apart_point(A39_1979_9, reverse_line(L40_1979_9)))
% 293.42/42.84 -> [24064] ~left_apart_point(A39_1979_9, L40_1979_9), ~left_apart_point(A39_1979_9, reverse_line(L40_1979_9))
% 293.42/42.84
% 293.42/42.84 [24064] CLOSURE : ~left_apart_point(A39_1979_9, L40_1979_9)
% 293.42/42.84
% 293.42/42.84 [23979] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1001_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1001_8)))
% 293.42/42.84 -> [24012] ~unequally_directed_lines(skolem_N7979, M38_1001_8)
% 293.42/42.84 -> [24013] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1001_8))
% 293.42/42.84
% 293.42/42.84 [24013] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1001_8))
% 293.42/42.84
% 293.42/42.84 [24012] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1001_8)
% 293.42/42.84
% 293.42/42.84 [23955] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [23999] ((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))))
% 293.42/42.84
% 293.42/42.84 [23999] 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))))
% 293.42/42.84 -> [24002] ~(unequally_directed_lines(skolem_L7777, skolem_N7979) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979)))
% 293.42/42.84 -> [24003] (left_convergent_lines(skolem_L7777, skolem_N7979) | left_convergent_lines(skolem_L7777, reverse_line(skolem_N7979)))
% 293.42/42.84
% 293.42/42.84 [24003] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_N7979) | left_convergent_lines(skolem_L7777, reverse_line(skolem_N7979)))
% 293.42/42.84 -> [24007] left_convergent_lines(skolem_L7777, skolem_N7979)
% 293.42/42.84 -> [24008] left_convergent_lines(skolem_L7777, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [24008] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [24249] ~(left_apart_point(A39_2002_9, L40_2002_9) | left_apart_point(A39_2002_9, reverse_line(L40_2002_9)))
% 293.42/42.84
% 293.42/42.84 [24249] ALPHA_NOT_OR : ~(left_apart_point(A39_2002_9, L40_2002_9) | left_apart_point(A39_2002_9, reverse_line(L40_2002_9)))
% 293.42/42.84 -> [24251] ~left_apart_point(A39_2002_9, L40_2002_9), ~left_apart_point(A39_2002_9, reverse_line(L40_2002_9))
% 293.42/42.84
% 293.42/42.84 [24251] CLOSURE : ~left_apart_point(A39_2002_9, L40_2002_9)
% 293.42/42.84
% 293.42/42.84 [24007] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.84 -> [24282] ~(left_apart_point(A39_2010_9, L40_2010_9) | left_apart_point(A39_2010_9, reverse_line(L40_2010_9)))
% 293.42/42.84
% 293.42/42.84 [24282] ALPHA_NOT_OR : ~(left_apart_point(A39_2010_9, L40_2010_9) | left_apart_point(A39_2010_9, reverse_line(L40_2010_9)))
% 293.42/42.84 -> [24285] ~left_apart_point(A39_2010_9, L40_2010_9), ~left_apart_point(A39_2010_9, reverse_line(L40_2010_9))
% 293.42/42.84
% 293.42/42.84 [24285] CLOSURE : ~left_apart_point(A39_2010_9, L40_2010_9)
% 293.42/42.84
% 293.42/42.84 [24002] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_N7979) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979)))
% 293.42/42.84 -> [24066] ~unequally_directed_lines(skolem_L7777, skolem_N7979)
% 293.42/42.84 -> [24067] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [24067] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [24066] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_N7979)
% 293.42/42.84
% 293.42/42.84 [563] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.84 -> [768] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.84
% 293.42/42.84 [768] 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))))
% 293.42/42.84 -> [899] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.84
% 293.42/42.84 [899] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.84 -> [900] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.84 -> [901] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.84
% 293.42/42.84 [900] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.84
% 293.42/42.84 [901] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.84 -> [5398] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.84 -> [5399] distinct_points(skolem_A8080, skolem_B8181)
% 293.42/42.84
% 293.42/42.84 [5398] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.84
% 293.42/42.84 [5399] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.84 -> [6471] ~distinct_lines(N27_212_3, N27_212_3)
% 293.42/42.84
% 293.42/42.84 [6471] 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))))
% 293.42/42.84 -> [6713] (distinct_lines(N27_212_3, N27_212_3) => (distinct_lines(N27_212_3, N27_212_3) | distinct_lines(N27_212_3, N27_212_3)))
% 293.42/42.84
% 293.42/42.84 [6713] BETA_IMPLY : (distinct_lines(N27_212_3, N27_212_3) => (distinct_lines(N27_212_3, N27_212_3) | distinct_lines(N27_212_3, N27_212_3)))
% 293.42/42.84 -> [6714] ~distinct_lines(N27_212_3, N27_212_3)
% 293.42/42.84 -> [6715] (distinct_lines(N27_212_3, N27_212_3) | distinct_lines(N27_212_3, N27_212_3))
% 293.42/42.84
% 293.42/42.84 [6715] BETA_OR : (distinct_lines(N27_212_3, N27_212_3) | distinct_lines(N27_212_3, N27_212_3))
% 293.42/42.84 -> [6720] distinct_lines(N27_212_3, N27_212_3)
% 293.42/42.84 -> [6721] distinct_lines(N27_212_3, N27_212_3)
% 293.42/42.84
% 293.42/42.84 [6721] CLOSURE : distinct_lines(N27_212_3, N27_212_3)
% 293.42/42.84
% 293.42/42.84 [6720] CLOSURE : distinct_lines(N27_212_3, N27_212_3)
% 293.42/42.84
% 293.42/42.84 [6714] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.84 -> [7070] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [7070] 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))))
% 293.42/42.84 -> [7636] (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))))
% 293.42/42.84
% 293.42/42.84 [7636] 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))))
% 293.42/42.84 -> [7638] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84 -> [7639] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.84
% 293.42/42.84 [7638] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [7639] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.84 -> [15677] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84 -> [15678] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [15678] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [15677] 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))))))
% 293.42/42.84 -> [19534] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_251_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_251_6))) | (unequally_directed_lines(skolem_N7979, N34_251_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_251_6)))))
% 293.42/42.84
% 293.42/42.84 [19534] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_251_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_251_6))) | (unequally_directed_lines(skolem_N7979, N34_251_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_251_6)))))
% 293.42/42.84 -> [19537] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.84 -> [19538] ((unequally_directed_lines(skolem_M7878, N34_251_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_251_6))) | (unequally_directed_lines(skolem_N7979, N34_251_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_251_6))))
% 293.42/42.84
% 293.42/42.84 [19537] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.84 -> [19614] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.84 -> [19615] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [19615] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [19614] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.84
% 293.42/42.84 [19538] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_251_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_251_6))) | (unequally_directed_lines(skolem_N7979, N34_251_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_251_6))))
% 293.42/42.84 -> [25084] (unequally_directed_lines(skolem_M7878, N34_251_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_251_6)))
% 293.42/42.84 -> [25085] (unequally_directed_lines(skolem_N7979, N34_251_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_251_6)))
% 293.42/42.84
% 293.42/42.84 [25085] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_251_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_251_6)))
% 293.42/42.84 -> [25086] unequally_directed_lines(skolem_N7979, N34_251_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_251_6))
% 293.42/42.84
% 293.42/42.84 [25086] 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)))))
% 293.42/42.84 -> [25108] ((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)))))
% 293.42/42.84
% 293.42/42.84 [25108] 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)))))
% 293.42/42.84 -> [25111] ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.84 -> [25112] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 293.42/42.84
% 293.42/42.84 [25111] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.84 -> [25129] ~line(reverse_line(skolem_N7979))
% 293.42/42.84 -> [25130] ~line(reverse_line(skolem_N7979))
% 293.42/42.84
% 293.42/42.84 [25129] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.84 -> [25192] ((unequally_directed_lines(skolem_N7979, M38_1090_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1090_8))) => (left_convergent_lines(skolem_N7979, M38_1090_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1090_8))))
% 293.42/42.84
% 293.42/42.84 [25192] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1090_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1090_8))) => (left_convergent_lines(skolem_N7979, M38_1090_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1090_8))))
% 293.42/42.84 -> [25195] ~(unequally_directed_lines(skolem_N7979, M38_1090_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1090_8)))
% 293.42/42.84 -> [25196] (left_convergent_lines(skolem_N7979, M38_1090_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1090_8)))
% 293.42/42.84
% 293.42/42.84 [25195] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1090_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1090_8)))
% 293.42/42.84 -> [25223] ~unequally_directed_lines(skolem_N7979, M38_1090_8)
% 293.42/42.84 -> [25224] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1090_8))
% 293.42/42.84
% 293.42/42.84 [25224] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1090_8))
% 293.42/42.84
% 293.42/42.84 [25223] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1090_8)
% 293.42/42.84
% 293.42/42.84 [25196] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1090_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1090_8)))
% 293.42/42.84 -> [25201] left_convergent_lines(skolem_N7979, M38_1090_8)
% 293.42/42.84 -> [25202] left_convergent_lines(skolem_N7979, reverse_line(M38_1090_8))
% 293.42/42.85
% 293.42/42.85 [25202] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [25237] ~(left_apart_point(A39_2142_9, L40_2142_9) | left_apart_point(A39_2142_9, reverse_line(L40_2142_9)))
% 293.42/42.85
% 293.42/42.85 [25237] ALPHA_NOT_OR : ~(left_apart_point(A39_2142_9, L40_2142_9) | left_apart_point(A39_2142_9, reverse_line(L40_2142_9)))
% 293.42/42.85 -> [25240] ~left_apart_point(A39_2142_9, L40_2142_9), ~left_apart_point(A39_2142_9, reverse_line(L40_2142_9))
% 293.42/42.85
% 293.42/42.85 [25240] CLOSURE : ~left_apart_point(A39_2142_9, L40_2142_9)
% 293.42/42.85
% 293.42/42.85 [25201] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [25336] ~(left_apart_point(A39_2161_9, L40_2161_9) | left_apart_point(A39_2161_9, reverse_line(L40_2161_9)))
% 293.42/42.85
% 293.42/42.85 [25336] ALPHA_NOT_OR : ~(left_apart_point(A39_2161_9, L40_2161_9) | left_apart_point(A39_2161_9, reverse_line(L40_2161_9)))
% 293.42/42.85 -> [25337] ~left_apart_point(A39_2161_9, L40_2161_9), ~left_apart_point(A39_2161_9, reverse_line(L40_2161_9))
% 293.42/42.85
% 293.42/42.85 [25337] CLOSURE : ~left_apart_point(A39_2161_9, L40_2161_9)
% 293.42/42.85
% 293.42/42.85 [25130] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [25162] ((unequally_directed_lines(skolem_N7979, M38_1084_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1084_8))) => (left_convergent_lines(skolem_N7979, M38_1084_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1084_8))))
% 293.42/42.85
% 293.42/42.85 [25162] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1084_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1084_8))) => (left_convergent_lines(skolem_N7979, M38_1084_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1084_8))))
% 293.42/42.85 -> [25166] ~(unequally_directed_lines(skolem_N7979, M38_1084_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1084_8)))
% 293.42/42.85 -> [25167] (left_convergent_lines(skolem_N7979, M38_1084_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1084_8)))
% 293.42/42.85
% 293.42/42.85 [25167] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1084_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1084_8)))
% 293.42/42.85 -> [25176] left_convergent_lines(skolem_N7979, M38_1084_8)
% 293.42/42.85 -> [25177] left_convergent_lines(skolem_N7979, reverse_line(M38_1084_8))
% 293.42/42.85
% 293.42/42.85 [25177] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [25264] ~(left_apart_point(A39_2149_9, L40_2149_9) | left_apart_point(A39_2149_9, reverse_line(L40_2149_9)))
% 293.42/42.85
% 293.42/42.85 [25264] ALPHA_NOT_OR : ~(left_apart_point(A39_2149_9, L40_2149_9) | left_apart_point(A39_2149_9, reverse_line(L40_2149_9)))
% 293.42/42.85 -> [25265] ~left_apart_point(A39_2149_9, L40_2149_9), ~left_apart_point(A39_2149_9, reverse_line(L40_2149_9))
% 293.42/42.85
% 293.42/42.85 [25265] CLOSURE : ~left_apart_point(A39_2149_9, L40_2149_9)
% 293.42/42.85
% 293.42/42.85 [25176] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [25409] ~(left_apart_point(A39_2165_9, L40_2165_9) | left_apart_point(A39_2165_9, reverse_line(L40_2165_9)))
% 293.42/42.85
% 293.42/42.85 [25409] ALPHA_NOT_OR : ~(left_apart_point(A39_2165_9, L40_2165_9) | left_apart_point(A39_2165_9, reverse_line(L40_2165_9)))
% 293.42/42.85 -> [25410] ~left_apart_point(A39_2165_9, L40_2165_9), ~left_apart_point(A39_2165_9, reverse_line(L40_2165_9))
% 293.42/42.85
% 293.42/42.85 [25410] CLOSURE : ~left_apart_point(A39_2165_9, L40_2165_9)
% 293.42/42.85
% 293.42/42.85 [25166] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1084_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1084_8)))
% 293.42/42.85 -> [25393] ~unequally_directed_lines(skolem_N7979, M38_1084_8)
% 293.42/42.85 -> [25394] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1084_8))
% 293.42/42.85
% 293.42/42.85 [25394] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1084_8))
% 293.42/42.85
% 293.42/42.85 [25393] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1084_8)
% 293.42/42.85
% 293.42/42.85 [25112] 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))))
% 293.42/42.85 -> [25118] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.85 -> [25119] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 293.42/42.85
% 293.42/42.85 [25118] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [25119] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [26272] ((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))))
% 293.42/42.85
% 293.42/42.85 [26272] 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))))
% 293.42/42.85 -> [26274] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85 -> [26275] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85
% 293.42/42.85 [26274] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85 -> [26282] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.85 -> [26283] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [26283] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [26282] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.85
% 293.42/42.85 [26275] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85 -> [26280] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.85 -> [26281] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [26281] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [26292] ~(left_apart_point(A39_2317_9, L40_2317_9) | left_apart_point(A39_2317_9, reverse_line(L40_2317_9)))
% 293.42/42.85
% 293.42/42.85 [26292] ALPHA_NOT_OR : ~(left_apart_point(A39_2317_9, L40_2317_9) | left_apart_point(A39_2317_9, reverse_line(L40_2317_9)))
% 293.42/42.85 -> [26296] ~left_apart_point(A39_2317_9, L40_2317_9), ~left_apart_point(A39_2317_9, reverse_line(L40_2317_9))
% 293.42/42.85
% 293.42/42.85 [26296] CLOSURE : ~left_apart_point(A39_2317_9, L40_2317_9)
% 293.42/42.85
% 293.42/42.85 [26280] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [26301] ~(left_apart_point(A39_2319_9, L40_2319_9) | left_apart_point(A39_2319_9, reverse_line(L40_2319_9)))
% 293.42/42.85
% 293.42/42.85 [26301] ALPHA_NOT_OR : ~(left_apart_point(A39_2319_9, L40_2319_9) | left_apart_point(A39_2319_9, reverse_line(L40_2319_9)))
% 293.42/42.85 -> [26306] ~left_apart_point(A39_2319_9, L40_2319_9), ~left_apart_point(A39_2319_9, reverse_line(L40_2319_9))
% 293.42/42.85
% 293.42/42.85 [26306] CLOSURE : ~left_apart_point(A39_2319_9, L40_2319_9)
% 293.42/42.85
% 293.42/42.85 [25084] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_251_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_251_6)))
% 293.42/42.85 -> [25090] unequally_directed_lines(skolem_M7878, N34_251_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_251_6))
% 293.42/42.85
% 293.42/42.85 [25090] 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)))))
% 293.42/42.85 -> [25122] ((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)))))
% 293.42/42.85
% 293.42/42.85 [25122] 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)))))
% 293.42/42.85 -> [25127] ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.85 -> [25128] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 293.42/42.85
% 293.42/42.85 [25127] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.85 -> [25145] ~line(reverse_line(skolem_N7979))
% 293.42/42.85 -> [25146] ~line(reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [25146] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [25168] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.85
% 293.42/42.85 [25168] 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))))
% 293.42/42.85 -> [25172] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [25173] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85
% 293.42/42.85 [25172] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [25218] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85 -> [25219] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [25219] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [25218] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [25173] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [25180] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85 -> [25181] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [25181] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [25258] ~(left_apart_point(A39_2147_9, L40_2147_9) | left_apart_point(A39_2147_9, reverse_line(L40_2147_9)))
% 293.42/42.85
% 293.42/42.85 [25258] ALPHA_NOT_OR : ~(left_apart_point(A39_2147_9, L40_2147_9) | left_apart_point(A39_2147_9, reverse_line(L40_2147_9)))
% 293.42/42.85 -> [25262] ~left_apart_point(A39_2147_9, L40_2147_9), ~left_apart_point(A39_2147_9, reverse_line(L40_2147_9))
% 293.42/42.85
% 293.42/42.85 [25262] CLOSURE : ~left_apart_point(A39_2147_9, L40_2147_9)
% 293.42/42.85
% 293.42/42.85 [25180] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [25482] ~(left_apart_point(A39_2175_9, L40_2175_9) | left_apart_point(A39_2175_9, reverse_line(L40_2175_9)))
% 293.42/42.85
% 293.42/42.85 [25482] ALPHA_NOT_OR : ~(left_apart_point(A39_2175_9, L40_2175_9) | left_apart_point(A39_2175_9, reverse_line(L40_2175_9)))
% 293.42/42.85 -> [25485] ~left_apart_point(A39_2175_9, L40_2175_9), ~left_apart_point(A39_2175_9, reverse_line(L40_2175_9))
% 293.42/42.85
% 293.42/42.85 [25485] CLOSURE : ~left_apart_point(A39_2175_9, L40_2175_9)
% 293.42/42.85
% 293.42/42.85 [25145] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [25205] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.85
% 293.42/42.85 [25205] 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))))
% 293.42/42.85 -> [25512] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [25513] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85
% 293.42/42.85 [25512] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [25530] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85 -> [25531] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [25531] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [25530] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [25513] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [25518] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85 -> [25519] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [25519] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [25574] ~(left_apart_point(A39_2192_9, L40_2192_9) | left_apart_point(A39_2192_9, reverse_line(L40_2192_9)))
% 293.42/42.85
% 293.42/42.85 [25574] ALPHA_NOT_OR : ~(left_apart_point(A39_2192_9, L40_2192_9) | left_apart_point(A39_2192_9, reverse_line(L40_2192_9)))
% 293.42/42.85 -> [25576] ~left_apart_point(A39_2192_9, L40_2192_9), ~left_apart_point(A39_2192_9, reverse_line(L40_2192_9))
% 293.42/42.85
% 293.42/42.85 [25576] CLOSURE : ~left_apart_point(A39_2192_9, L40_2192_9)
% 293.42/42.85
% 293.42/42.85 [25518] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [25607] ~(left_apart_point(A39_2202_9, L40_2202_9) | left_apart_point(A39_2202_9, reverse_line(L40_2202_9)))
% 293.42/42.85
% 293.42/42.85 [25607] ALPHA_NOT_OR : ~(left_apart_point(A39_2202_9, L40_2202_9) | left_apart_point(A39_2202_9, reverse_line(L40_2202_9)))
% 293.42/42.85 -> [25611] ~left_apart_point(A39_2202_9, L40_2202_9), ~left_apart_point(A39_2202_9, reverse_line(L40_2202_9))
% 293.42/42.85
% 293.42/42.85 [25611] CLOSURE : ~left_apart_point(A39_2202_9, L40_2202_9)
% 293.42/42.85
% 293.42/42.85 [25128] 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))))
% 293.42/42.85 -> [25134] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.85 -> [25135] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 293.42/42.85
% 293.42/42.85 [25134] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [25135] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [26278] ((unequally_directed_lines(skolem_M7878, M38_1163_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1163_8))) => (left_convergent_lines(skolem_M7878, M38_1163_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1163_8))))
% 293.42/42.85
% 293.42/42.85 [26278] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_1163_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1163_8))) => (left_convergent_lines(skolem_M7878, M38_1163_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1163_8))))
% 293.42/42.85 -> [26285] ~(unequally_directed_lines(skolem_M7878, M38_1163_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1163_8)))
% 293.42/42.85 -> [26286] (left_convergent_lines(skolem_M7878, M38_1163_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1163_8)))
% 293.42/42.85
% 293.42/42.85 [26286] BETA_OR : (left_convergent_lines(skolem_M7878, M38_1163_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1163_8)))
% 293.42/42.85 -> [26287] left_convergent_lines(skolem_M7878, M38_1163_8)
% 293.42/42.85 -> [26288] left_convergent_lines(skolem_M7878, reverse_line(M38_1163_8))
% 293.42/42.85
% 293.42/42.85 [26287] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [26307] ~(left_apart_point(A39_2320_9, L40_2320_9) | left_apart_point(A39_2320_9, reverse_line(L40_2320_9)))
% 293.42/42.85
% 293.42/42.85 [26307] ALPHA_NOT_OR : ~(left_apart_point(A39_2320_9, L40_2320_9) | left_apart_point(A39_2320_9, reverse_line(L40_2320_9)))
% 293.42/42.85 -> [26308] ~left_apart_point(A39_2320_9, L40_2320_9), ~left_apart_point(A39_2320_9, reverse_line(L40_2320_9))
% 293.42/42.85
% 293.42/42.85 [26308] CLOSURE : ~left_apart_point(A39_2320_9, L40_2320_9)
% 293.42/42.85
% 293.42/42.85 [26288] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [26311] ~(left_apart_point(A39_2321_9, L40_2321_9) | left_apart_point(A39_2321_9, reverse_line(L40_2321_9)))
% 293.42/42.85
% 293.42/42.85 [26311] ALPHA_NOT_OR : ~(left_apart_point(A39_2321_9, L40_2321_9) | left_apart_point(A39_2321_9, reverse_line(L40_2321_9)))
% 293.42/42.85 -> [26314] ~left_apart_point(A39_2321_9, L40_2321_9), ~left_apart_point(A39_2321_9, reverse_line(L40_2321_9))
% 293.42/42.85
% 293.42/42.85 [26314] CLOSURE : ~left_apart_point(A39_2321_9, L40_2321_9)
% 293.42/42.85
% 293.42/42.85 [26285] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_1163_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1163_8)))
% 293.42/42.85 -> [26293] ~unequally_directed_lines(skolem_M7878, M38_1163_8)
% 293.42/42.85 -> [26294] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_1163_8))
% 293.42/42.85
% 293.42/42.85 [26293] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_1163_8)
% 293.42/42.85
% 293.42/42.85 [26294] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_1163_8))
% 293.42/42.85
% 293.42/42.85 [35] ALPHA_AND : (before_on_line(skolem_L7777, skolem_A8080, skolem_B8181) & before_on_line(skolem_L7777, skolem_B8181, skolem_C8282))
% 293.42/42.85 -> [43] before_on_line(skolem_L7777, skolem_A8080, skolem_B8181), before_on_line(skolem_L7777, skolem_B8181, skolem_C8282)
% 293.42/42.85
% 293.42/42.85 [43] Rewrite : before_on_line(skolem_L7777, skolem_A8080, skolem_B8181)
% 293.42/42.85 -> [49] (((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)))
% 293.42/42.85
% 293.42/42.85 [49] Rewrite : before_on_line(skolem_L7777, skolem_B8181, skolem_C8282)
% 293.42/42.85 -> [56] (((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)))
% 293.42/42.85
% 293.42/42.85 [56] 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)))
% 293.42/42.85 -> [63] ((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))
% 293.42/42.85
% 293.42/42.85 [63] 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)))
% 293.42/42.85 -> [73] ((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))
% 293.42/42.85
% 293.42/42.85 [73] 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))))
% 293.42/42.85 -> [91] (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)))
% 293.42/42.85
% 293.42/42.85 [91] 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))))
% 293.42/42.85 -> [94] (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)))
% 293.42/42.85
% 293.42/42.85 [94] ALPHA_AND : (distinct_points(skolem_A8080, skolem_B8181) & ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777))))
% 293.42/42.85 -> [97] distinct_points(skolem_A8080, skolem_B8181), ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))
% 293.42/42.85
% 293.42/42.85 [97] ALPHA_NOT_OR : ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))
% 293.42/42.85 -> [106] ~left_apart_point(skolem_B8181, skolem_L7777), ~left_apart_point(skolem_B8181, reverse_line(skolem_L7777))
% 293.42/42.85
% 293.42/42.85 [106] ALPHA_AND : (distinct_points(skolem_B8181, skolem_C8282) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777))))
% 293.42/42.85 -> [115] distinct_points(skolem_B8181, skolem_C8282), ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))
% 293.42/42.85
% 293.42/42.85 [115] ALPHA_NOT_OR : ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))
% 293.42/42.85 -> [120] ~left_apart_point(skolem_C8282, skolem_L7777), ~left_apart_point(skolem_C8282, reverse_line(skolem_L7777))
% 293.42/42.85
% 293.42/42.85 [120] ALPHA_NOT_OR : ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))
% 293.42/42.85 -> [128] ~left_apart_point(skolem_A8080, skolem_L7777), ~left_apart_point(skolem_A8080, reverse_line(skolem_L7777))
% 293.42/42.85
% 293.42/42.85 [128] ALPHA_NOT_OR : ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))
% 293.42/42.85 -> [137] ~left_apart_point(skolem_B8181, skolem_L7777), ~left_apart_point(skolem_B8181, reverse_line(skolem_L7777))
% 293.42/42.85
% 293.42/42.85 [137] BETA_NOT_AND : ~(((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.42/42.85 -> [150] ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.85 -> [151] ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.85
% 293.42/42.85 [151] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.85 -> [181] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.85
% 293.42/42.85 [181] BETA_NOT_AND : ~(((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))) & ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.85 -> [411] ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.42/42.85 -> [412] ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.85
% 293.42/42.85 [411] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.42/42.85 -> [439] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.85 -> [440] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.85
% 293.42/42.85 [439] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.85 -> [471] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))
% 293.42/42.85 -> [472] ~~(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)))
% 293.42/42.85
% 293.42/42.85 [472] 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)))
% 293.42/42.85 -> [479] (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)))
% 293.42/42.85
% 293.42/42.85 [479] 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)))
% 293.42/42.85 -> [481] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 293.42/42.85 -> [482] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [481] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.85 -> [762] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.85
% 293.42/42.85 [762] 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))))
% 293.42/42.85 -> [813] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.85
% 293.42/42.85 [813] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.85 -> [817] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.85 -> [818] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.85
% 293.42/42.85 [817] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.85
% 293.42/42.85 [818] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.85 -> [1529] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.85 -> [1530] distinct_points(skolem_C8282, skolem_B8181)
% 293.42/42.85
% 293.42/42.85 [1529] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.85
% 293.42/42.85 [1530] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.85 -> [1959] ~distinct_lines(N27_2_3, N27_2_3)
% 293.42/42.85
% 293.42/42.85 [1959] 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))))
% 293.42/42.85 -> [1967] (distinct_lines(N27_2_3, N27_2_3) => (distinct_lines(N27_2_3, N27_2_3) | distinct_lines(N27_2_3, N27_2_3)))
% 293.42/42.85
% 293.42/42.85 [1967] 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)))
% 293.42/42.85 -> [1968] ~distinct_lines(N27_2_3, N27_2_3)
% 293.42/42.85 -> [1969] (distinct_lines(N27_2_3, N27_2_3) | distinct_lines(N27_2_3, N27_2_3))
% 293.42/42.85
% 293.42/42.85 [1969] BETA_OR : (distinct_lines(N27_2_3, N27_2_3) | distinct_lines(N27_2_3, N27_2_3))
% 293.42/42.85 -> [1974] distinct_lines(N27_2_3, N27_2_3)
% 293.42/42.85 -> [1975] distinct_lines(N27_2_3, N27_2_3)
% 293.42/42.85
% 293.42/42.85 [1974] CLOSURE : distinct_lines(N27_2_3, N27_2_3)
% 293.42/42.85
% 293.42/42.85 [1975] CLOSURE : distinct_lines(N27_2_3, N27_2_3)
% 293.42/42.85
% 293.42/42.85 [1968] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.85 -> [2013] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [2013] 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))))
% 293.42/42.85 -> [2044] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878)))
% 293.42/42.85
% 293.42/42.85 [2044] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878)))
% 293.42/42.85 -> [2071] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.85 -> [2072] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [2071] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.85
% 293.42/42.85 [2072] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878))
% 293.42/42.85 -> [2411] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.85 -> [2412] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [2411] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [2412] 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))))))
% 293.42/42.85 -> [4527] ((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)))))
% 293.42/42.85
% 293.42/42.85 [4527] 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)))))
% 293.42/42.85 -> [4528] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85 -> [4529] ((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))))
% 293.42/42.85
% 293.42/42.85 [4528] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85 -> [4583] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.85 -> [4584] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [4584] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [4583] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.85
% 293.42/42.85 [4529] 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))))
% 293.42/42.85 -> [8211] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [8212] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.85
% 293.42/42.85 [8211] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [8229] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [8229] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [8212] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [8213] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [8213] 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)))))
% 293.42/42.85 -> [8411] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.85
% 293.42/42.85 [8411] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.85 -> [8412] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.85 -> [8413] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.85
% 293.42/42.85 [8413] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [8419] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.85 -> [8420] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [8419] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [8420] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [9040] ((unequally_directed_lines(skolem_N7979, M38_112_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_112_8))) => (left_convergent_lines(skolem_N7979, M38_112_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_112_8))))
% 293.42/42.85
% 293.42/42.85 [9040] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_112_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_112_8))) => (left_convergent_lines(skolem_N7979, M38_112_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_112_8))))
% 293.42/42.85 -> [9041] ~(unequally_directed_lines(skolem_N7979, M38_112_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_112_8)))
% 293.42/42.85 -> [9042] (left_convergent_lines(skolem_N7979, M38_112_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_112_8)))
% 293.42/42.85
% 293.42/42.85 [9041] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_112_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_112_8)))
% 293.42/42.85 -> [9053] ~unequally_directed_lines(skolem_N7979, M38_112_8)
% 293.42/42.85 -> [9054] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_112_8))
% 293.42/42.85
% 293.42/42.85 [9054] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_112_8))
% 293.42/42.85
% 293.42/42.85 [9053] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_112_8)
% 293.42/42.85
% 293.42/42.85 [9042] BETA_OR : (left_convergent_lines(skolem_N7979, M38_112_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_112_8)))
% 293.42/42.85 -> [9048] left_convergent_lines(skolem_N7979, M38_112_8)
% 293.42/42.85 -> [9049] left_convergent_lines(skolem_N7979, reverse_line(M38_112_8))
% 293.42/42.85
% 293.42/42.85 [9049] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [9899] ~(left_apart_point(A39_264_9, L40_264_9) | left_apart_point(A39_264_9, reverse_line(L40_264_9)))
% 293.42/42.85
% 293.42/42.85 [9899] ALPHA_NOT_OR : ~(left_apart_point(A39_264_9, L40_264_9) | left_apart_point(A39_264_9, reverse_line(L40_264_9)))
% 293.42/42.85 -> [9902] ~left_apart_point(A39_264_9, L40_264_9), ~left_apart_point(A39_264_9, reverse_line(L40_264_9))
% 293.42/42.85
% 293.42/42.85 [9902] CLOSURE : ~left_apart_point(A39_264_9, L40_264_9)
% 293.42/42.85
% 293.42/42.85 [9048] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [9921] ~(left_apart_point(A39_271_9, L40_271_9) | left_apart_point(A39_271_9, reverse_line(L40_271_9)))
% 293.42/42.85
% 293.42/42.85 [9921] ALPHA_NOT_OR : ~(left_apart_point(A39_271_9, L40_271_9) | left_apart_point(A39_271_9, reverse_line(L40_271_9)))
% 293.42/42.85 -> [9922] ~left_apart_point(A39_271_9, L40_271_9), ~left_apart_point(A39_271_9, reverse_line(L40_271_9))
% 293.42/42.85
% 293.42/42.85 [9922] CLOSURE : ~left_apart_point(A39_271_9, L40_271_9)
% 293.42/42.85
% 293.42/42.85 [8412] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.85 -> [8467] ~line(skolem_M7878)
% 293.42/42.85 -> [8468] ~line(skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [8468] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [9205] ((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))))
% 293.42/42.85
% 293.42/42.85 [9205] 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))))
% 293.42/42.85 -> [9207] ~(unequally_directed_lines(skolem_N7979, M38_122_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_122_8)))
% 293.42/42.85 -> [9208] (left_convergent_lines(skolem_N7979, M38_122_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_122_8)))
% 293.42/42.85
% 293.42/42.85 [9208] BETA_OR : (left_convergent_lines(skolem_N7979, M38_122_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_122_8)))
% 293.42/42.85 -> [9212] left_convergent_lines(skolem_N7979, M38_122_8)
% 293.42/42.85 -> [9213] left_convergent_lines(skolem_N7979, reverse_line(M38_122_8))
% 293.42/42.85
% 293.42/42.85 [9212] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [9385] ~(left_apart_point(A39_230_9, L40_230_9) | left_apart_point(A39_230_9, reverse_line(L40_230_9)))
% 293.42/42.85
% 293.42/42.85 [9385] ALPHA_NOT_OR : ~(left_apart_point(A39_230_9, L40_230_9) | left_apart_point(A39_230_9, reverse_line(L40_230_9)))
% 293.42/42.85 -> [9386] ~left_apart_point(A39_230_9, L40_230_9), ~left_apart_point(A39_230_9, reverse_line(L40_230_9))
% 293.42/42.85
% 293.42/42.85 [9386] CLOSURE : ~left_apart_point(A39_230_9, L40_230_9)
% 293.42/42.85
% 293.42/42.85 [9213] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [9389] ~(left_apart_point(A39_231_9, L40_231_9) | left_apart_point(A39_231_9, reverse_line(L40_231_9)))
% 293.42/42.85
% 293.42/42.85 [9389] ALPHA_NOT_OR : ~(left_apart_point(A39_231_9, L40_231_9) | left_apart_point(A39_231_9, reverse_line(L40_231_9)))
% 293.42/42.85 -> [9393] ~left_apart_point(A39_231_9, L40_231_9), ~left_apart_point(A39_231_9, reverse_line(L40_231_9))
% 293.42/42.85
% 293.42/42.85 [9393] CLOSURE : ~left_apart_point(A39_231_9, L40_231_9)
% 293.42/42.85
% 293.42/42.85 [9207] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_122_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_122_8)))
% 293.42/42.85 -> [9249] ~unequally_directed_lines(skolem_N7979, M38_122_8)
% 293.42/42.85 -> [9250] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_122_8))
% 293.42/42.85
% 293.42/42.85 [9249] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_122_8)
% 293.42/42.85
% 293.42/42.85 [9250] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_122_8))
% 293.42/42.85
% 293.42/42.85 [8467] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [9221] ((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))))
% 293.42/42.85
% 293.42/42.85 [9221] 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))))
% 293.42/42.85 -> [9222] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85 -> [9223] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85
% 293.42/42.85 [9222] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85 -> [9258] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.85 -> [9259] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [9258] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.85
% 293.42/42.85 [9259] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [9223] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85 -> [9228] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.85 -> [9229] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [9229] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [10754] ~(left_apart_point(A39_368_9, L40_368_9) | left_apart_point(A39_368_9, reverse_line(L40_368_9)))
% 293.42/42.85
% 293.42/42.85 [10754] ALPHA_NOT_OR : ~(left_apart_point(A39_368_9, L40_368_9) | left_apart_point(A39_368_9, reverse_line(L40_368_9)))
% 293.42/42.85 -> [10755] ~left_apart_point(A39_368_9, L40_368_9), ~left_apart_point(A39_368_9, reverse_line(L40_368_9))
% 293.42/42.85
% 293.42/42.85 [10755] CLOSURE : ~left_apart_point(A39_368_9, L40_368_9)
% 293.42/42.85
% 293.42/42.85 [9228] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [10762] ~(left_apart_point(A39_370_9, L40_370_9) | left_apart_point(A39_370_9, reverse_line(L40_370_9)))
% 293.42/42.85
% 293.42/42.85 [10762] ALPHA_NOT_OR : ~(left_apart_point(A39_370_9, L40_370_9) | left_apart_point(A39_370_9, reverse_line(L40_370_9)))
% 293.42/42.85 -> [10764] ~left_apart_point(A39_370_9, L40_370_9), ~left_apart_point(A39_370_9, reverse_line(L40_370_9))
% 293.42/42.85
% 293.42/42.85 [10764] CLOSURE : ~left_apart_point(A39_370_9, L40_370_9)
% 293.42/42.85
% 293.42/42.85 [482] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.85 -> [1017] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.85
% 293.42/42.85 [1017] 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))))
% 293.42/42.85 -> [1775] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.85
% 293.42/42.85 [1775] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.85 -> [1776] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.85 -> [1777] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.85
% 293.42/42.85 [1776] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.85
% 293.42/42.85 [1777] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.85 -> [3054] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.85 -> [3055] distinct_points(skolem_C8282, skolem_B8181)
% 293.42/42.85
% 293.42/42.85 [3054] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.85
% 293.42/42.85 [3055] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.85 -> [3214] ~distinct_lines(N27_44_3, N27_44_3)
% 293.42/42.85
% 293.42/42.85 [3214] 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))))
% 293.42/42.85 -> [3221] (distinct_lines(N27_44_3, N27_44_3) => (distinct_lines(N27_44_3, N27_44_3) | distinct_lines(N27_44_3, N27_44_3)))
% 293.42/42.85
% 293.42/42.85 [3221] 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)))
% 293.42/42.85 -> [3222] ~distinct_lines(N27_44_3, N27_44_3)
% 293.42/42.85 -> [3223] (distinct_lines(N27_44_3, N27_44_3) | distinct_lines(N27_44_3, N27_44_3))
% 293.42/42.85
% 293.42/42.85 [3223] BETA_OR : (distinct_lines(N27_44_3, N27_44_3) | distinct_lines(N27_44_3, N27_44_3))
% 293.42/42.85 -> [3225] distinct_lines(N27_44_3, N27_44_3)
% 293.42/42.85 -> [3226] distinct_lines(N27_44_3, N27_44_3)
% 293.42/42.85
% 293.42/42.85 [3226] CLOSURE : distinct_lines(N27_44_3, N27_44_3)
% 293.42/42.85
% 293.42/42.85 [3225] CLOSURE : distinct_lines(N27_44_3, N27_44_3)
% 293.42/42.85
% 293.42/42.85 [3222] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.85 -> [3281] ~unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.85
% 293.42/42.85 [3281] 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))))
% 293.42/42.85 -> [3367] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.42/42.85
% 293.42/42.85 [3367] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.42/42.85 -> [3368] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.85 -> [3369] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.42/42.85
% 293.42/42.85 [3368] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.85
% 293.42/42.85 [3369] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.42/42.85 -> [6443] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.85 -> [6444] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.85
% 293.42/42.85 [6444] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.85
% 293.42/42.85 [6443] 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))))))
% 293.42/42.85 -> [7453] ((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)))))
% 293.42/42.85
% 293.42/42.85 [7453] 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)))))
% 293.42/42.85 -> [7462] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85 -> [7463] ((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))))
% 293.42/42.85
% 293.42/42.85 [7463] 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))))
% 293.42/42.85 -> [9494] (unequally_directed_lines(skolem_M7878, N34_64_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_64_6)))
% 293.42/42.85 -> [9495] (unequally_directed_lines(skolem_N7979, N34_64_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_64_6)))
% 293.42/42.85
% 293.42/42.85 [9494] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_64_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_64_6)))
% 293.42/42.85 -> [9519] unequally_directed_lines(skolem_M7878, N34_64_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_64_6))
% 293.42/42.85
% 293.42/42.85 [9519] 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)))))
% 293.42/42.85 -> [9734] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))))
% 293.42/42.85
% 293.42/42.85 [9734] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))))
% 293.42/42.85 -> [9737] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.42/42.85 -> [9738] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.42/42.85
% 293.42/42.85 [9738] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.42/42.85 -> [9741] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.85 -> [9742] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.42/42.85
% 293.42/42.85 [9741] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.85
% 293.42/42.85 [9742] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [9839] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.85
% 293.42/42.85 [9839] 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))))
% 293.42/42.85 -> [9840] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [9841] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85
% 293.42/42.85 [9841] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [9844] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85 -> [9845] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [9845] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [9944] ~(left_apart_point(A39_277_9, L40_277_9) | left_apart_point(A39_277_9, reverse_line(L40_277_9)))
% 293.42/42.85
% 293.42/42.85 [9944] ALPHA_NOT_OR : ~(left_apart_point(A39_277_9, L40_277_9) | left_apart_point(A39_277_9, reverse_line(L40_277_9)))
% 293.42/42.85 -> [9946] ~left_apart_point(A39_277_9, L40_277_9), ~left_apart_point(A39_277_9, reverse_line(L40_277_9))
% 293.42/42.85
% 293.42/42.85 [9946] CLOSURE : ~left_apart_point(A39_277_9, L40_277_9)
% 293.42/42.85
% 293.42/42.85 [9844] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [9967] ~(left_apart_point(A39_281_9, L40_281_9) | left_apart_point(A39_281_9, reverse_line(L40_281_9)))
% 293.42/42.85
% 293.42/42.85 [9967] ALPHA_NOT_OR : ~(left_apart_point(A39_281_9, L40_281_9) | left_apart_point(A39_281_9, reverse_line(L40_281_9)))
% 293.42/42.85 -> [9972] ~left_apart_point(A39_281_9, L40_281_9), ~left_apart_point(A39_281_9, reverse_line(L40_281_9))
% 293.42/42.85
% 293.42/42.85 [9972] CLOSURE : ~left_apart_point(A39_281_9, L40_281_9)
% 293.42/42.85
% 293.42/42.85 [9840] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [9890] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85 -> [9891] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [9891] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [9890] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [9737] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.42/42.85 -> [9752] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.85 -> [9753] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.85
% 293.42/42.85 [9753] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [9830] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.85
% 293.42/42.85 [9830] 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))))
% 293.42/42.85 -> [9833] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [9834] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85
% 293.42/42.85 [9834] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [9835] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85 -> [9836] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [9836] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [9942] ~(left_apart_point(A39_276_9, L40_276_9) | left_apart_point(A39_276_9, reverse_line(L40_276_9)))
% 293.42/42.85
% 293.42/42.85 [9942] ALPHA_NOT_OR : ~(left_apart_point(A39_276_9, L40_276_9) | left_apart_point(A39_276_9, reverse_line(L40_276_9)))
% 293.42/42.85 -> [9943] ~left_apart_point(A39_276_9, L40_276_9), ~left_apart_point(A39_276_9, reverse_line(L40_276_9))
% 293.42/42.85
% 293.42/42.85 [9943] CLOSURE : ~left_apart_point(A39_276_9, L40_276_9)
% 293.42/42.85
% 293.42/42.85 [9835] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [9958] ~(left_apart_point(A39_280_9, L40_280_9) | left_apart_point(A39_280_9, reverse_line(L40_280_9)))
% 293.42/42.85
% 293.42/42.85 [9958] ALPHA_NOT_OR : ~(left_apart_point(A39_280_9, L40_280_9) | left_apart_point(A39_280_9, reverse_line(L40_280_9)))
% 293.42/42.85 -> [9961] ~left_apart_point(A39_280_9, L40_280_9), ~left_apart_point(A39_280_9, reverse_line(L40_280_9))
% 293.42/42.85
% 293.42/42.85 [9961] CLOSURE : ~left_apart_point(A39_280_9, L40_280_9)
% 293.42/42.85
% 293.42/42.85 [9833] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [9887] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85 -> [9888] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [9888] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [9887] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [9752] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [9910] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.85
% 293.42/42.85 [9910] 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))))
% 293.42/42.85 -> [9913] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [9914] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85
% 293.42/42.85 [9914] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [9917] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85 -> [9918] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [9918] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [9997] ~(left_apart_point(A39_286_9, L40_286_9) | left_apart_point(A39_286_9, reverse_line(L40_286_9)))
% 293.42/42.85
% 293.42/42.85 [9997] ALPHA_NOT_OR : ~(left_apart_point(A39_286_9, L40_286_9) | left_apart_point(A39_286_9, reverse_line(L40_286_9)))
% 293.42/42.85 -> [10000] ~left_apart_point(A39_286_9, L40_286_9), ~left_apart_point(A39_286_9, reverse_line(L40_286_9))
% 293.42/42.85
% 293.42/42.85 [10000] CLOSURE : ~left_apart_point(A39_286_9, L40_286_9)
% 293.42/42.85
% 293.42/42.85 [9917] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [10032] ~(left_apart_point(A39_288_9, L40_288_9) | left_apart_point(A39_288_9, reverse_line(L40_288_9)))
% 293.42/42.85
% 293.42/42.85 [10032] ALPHA_NOT_OR : ~(left_apart_point(A39_288_9, L40_288_9) | left_apart_point(A39_288_9, reverse_line(L40_288_9)))
% 293.42/42.85 -> [10033] ~left_apart_point(A39_288_9, L40_288_9), ~left_apart_point(A39_288_9, reverse_line(L40_288_9))
% 293.42/42.85
% 293.42/42.85 [10033] CLOSURE : ~left_apart_point(A39_288_9, L40_288_9)
% 293.42/42.85
% 293.42/42.85 [9913] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [9925] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85 -> [9926] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [9926] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [9925] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [9495] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_64_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_64_6)))
% 293.42/42.85 -> [9497] unequally_directed_lines(skolem_N7979, N34_64_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_64_6))
% 293.42/42.85
% 293.42/42.85 [9497] 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)))))
% 293.42/42.85 -> [9703] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))))
% 293.42/42.85
% 293.42/42.85 [9703] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))))
% 293.42/42.85 -> [9706] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.42/42.85 -> [9707] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.42/42.85
% 293.42/42.85 [9707] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.42/42.85 -> [9710] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.85 -> [9711] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.42/42.85
% 293.42/42.85 [9710] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.85
% 293.42/42.85 [9711] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [9817] ((unequally_directed_lines(skolem_N7979, M38_150_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_150_8))) => (left_convergent_lines(skolem_N7979, M38_150_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_150_8))))
% 293.42/42.85
% 293.42/42.85 [9817] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_150_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_150_8))) => (left_convergent_lines(skolem_N7979, M38_150_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_150_8))))
% 293.42/42.85 -> [9819] ~(unequally_directed_lines(skolem_N7979, M38_150_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_150_8)))
% 293.42/42.85 -> [9820] (left_convergent_lines(skolem_N7979, M38_150_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_150_8)))
% 293.42/42.85
% 293.42/42.85 [9820] BETA_OR : (left_convergent_lines(skolem_N7979, M38_150_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_150_8)))
% 293.42/42.85 -> [9823] left_convergent_lines(skolem_N7979, M38_150_8)
% 293.42/42.85 -> [9824] left_convergent_lines(skolem_N7979, reverse_line(M38_150_8))
% 293.42/42.85
% 293.42/42.85 [9824] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [9938] ~(left_apart_point(A39_275_9, L40_275_9) | left_apart_point(A39_275_9, reverse_line(L40_275_9)))
% 293.42/42.85
% 293.42/42.85 [9938] ALPHA_NOT_OR : ~(left_apart_point(A39_275_9, L40_275_9) | left_apart_point(A39_275_9, reverse_line(L40_275_9)))
% 293.42/42.85 -> [9939] ~left_apart_point(A39_275_9, L40_275_9), ~left_apart_point(A39_275_9, reverse_line(L40_275_9))
% 293.42/42.85
% 293.42/42.85 [9939] CLOSURE : ~left_apart_point(A39_275_9, L40_275_9)
% 293.42/42.85
% 293.42/42.85 [9823] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [9953] ~(left_apart_point(A39_278_9, L40_278_9) | left_apart_point(A39_278_9, reverse_line(L40_278_9)))
% 293.42/42.85
% 293.42/42.85 [9953] ALPHA_NOT_OR : ~(left_apart_point(A39_278_9, L40_278_9) | left_apart_point(A39_278_9, reverse_line(L40_278_9)))
% 293.42/42.85 -> [9954] ~left_apart_point(A39_278_9, L40_278_9), ~left_apart_point(A39_278_9, reverse_line(L40_278_9))
% 293.42/42.85
% 293.42/42.85 [9954] CLOSURE : ~left_apart_point(A39_278_9, L40_278_9)
% 293.42/42.85
% 293.42/42.85 [9819] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_150_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_150_8)))
% 293.42/42.85 -> [9878] ~unequally_directed_lines(skolem_N7979, M38_150_8)
% 293.42/42.85 -> [9879] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_150_8))
% 293.42/42.85
% 293.42/42.85 [9879] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_150_8))
% 293.42/42.85
% 293.42/42.85 [9878] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_150_8)
% 293.42/42.85
% 293.42/42.85 [9706] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.42/42.85 -> [9747] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.85 -> [9748] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.85
% 293.42/42.85 [9748] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [9851] ((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))))
% 293.42/42.85
% 293.42/42.85 [9851] 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))))
% 293.42/42.85 -> [9852] ~(unequally_directed_lines(skolem_N7979, M38_154_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_154_8)))
% 293.42/42.85 -> [9853] (left_convergent_lines(skolem_N7979, M38_154_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_154_8)))
% 293.42/42.85
% 293.42/42.85 [9853] BETA_OR : (left_convergent_lines(skolem_N7979, M38_154_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_154_8)))
% 293.42/42.85 -> [9862] left_convergent_lines(skolem_N7979, M38_154_8)
% 293.42/42.85 -> [9863] left_convergent_lines(skolem_N7979, reverse_line(M38_154_8))
% 293.42/42.85
% 293.42/42.85 [9862] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [9980] ~(left_apart_point(A39_283_9, L40_283_9) | left_apart_point(A39_283_9, reverse_line(L40_283_9)))
% 293.42/42.85
% 293.42/42.85 [9980] ALPHA_NOT_OR : ~(left_apart_point(A39_283_9, L40_283_9) | left_apart_point(A39_283_9, reverse_line(L40_283_9)))
% 293.42/42.85 -> [9984] ~left_apart_point(A39_283_9, L40_283_9), ~left_apart_point(A39_283_9, reverse_line(L40_283_9))
% 293.42/42.85
% 293.42/42.85 [9984] CLOSURE : ~left_apart_point(A39_283_9, L40_283_9)
% 293.42/42.85
% 293.42/42.85 [9863] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [9985] ~(left_apart_point(A39_284_9, L40_284_9) | left_apart_point(A39_284_9, reverse_line(L40_284_9)))
% 293.42/42.85
% 293.42/42.85 [9985] ALPHA_NOT_OR : ~(left_apart_point(A39_284_9, L40_284_9) | left_apart_point(A39_284_9, reverse_line(L40_284_9)))
% 293.42/42.85 -> [9986] ~left_apart_point(A39_284_9, L40_284_9), ~left_apart_point(A39_284_9, reverse_line(L40_284_9))
% 293.42/42.85
% 293.42/42.85 [9986] CLOSURE : ~left_apart_point(A39_284_9, L40_284_9)
% 293.42/42.85
% 293.42/42.85 [9852] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_154_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_154_8)))
% 293.42/42.85 -> [9897] ~unequally_directed_lines(skolem_N7979, M38_154_8)
% 293.42/42.85 -> [9898] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_154_8))
% 293.42/42.85
% 293.42/42.85 [9898] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_154_8))
% 293.42/42.85
% 293.42/42.85 [9897] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_154_8)
% 293.42/42.85
% 293.42/42.85 [9747] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [9846] ((unequally_directed_lines(skolem_N7979, M38_153_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_153_8))) => (left_convergent_lines(skolem_N7979, M38_153_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_153_8))))
% 293.42/42.85
% 293.42/42.85 [9846] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_153_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_153_8))) => (left_convergent_lines(skolem_N7979, M38_153_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_153_8))))
% 293.42/42.85 -> [9847] ~(unequally_directed_lines(skolem_N7979, M38_153_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_153_8)))
% 293.42/42.85 -> [9848] (left_convergent_lines(skolem_N7979, M38_153_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_153_8)))
% 293.42/42.85
% 293.42/42.85 [9847] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_153_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_153_8)))
% 293.42/42.85 -> [9895] ~unequally_directed_lines(skolem_N7979, M38_153_8)
% 293.42/42.85 -> [9896] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_153_8))
% 293.42/42.85
% 293.42/42.85 [9896] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_153_8))
% 293.42/42.85
% 293.42/42.85 [9895] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_153_8)
% 293.42/42.85
% 293.42/42.85 [9848] BETA_OR : (left_convergent_lines(skolem_N7979, M38_153_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_153_8)))
% 293.42/42.85 -> [10087] left_convergent_lines(skolem_N7979, M38_153_8)
% 293.42/42.85 -> [10088] left_convergent_lines(skolem_N7979, reverse_line(M38_153_8))
% 293.42/42.85
% 293.42/42.85 [10088] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [10261] ~(left_apart_point(A39_316_9, L40_316_9) | left_apart_point(A39_316_9, reverse_line(L40_316_9)))
% 293.42/42.85
% 293.42/42.85 [10261] ALPHA_NOT_OR : ~(left_apart_point(A39_316_9, L40_316_9) | left_apart_point(A39_316_9, reverse_line(L40_316_9)))
% 293.42/42.85 -> [10262] ~left_apart_point(A39_316_9, L40_316_9), ~left_apart_point(A39_316_9, reverse_line(L40_316_9))
% 293.42/42.85
% 293.42/42.85 [10262] CLOSURE : ~left_apart_point(A39_316_9, L40_316_9)
% 293.42/42.85
% 293.42/42.85 [10087] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [10288] ~(left_apart_point(A39_320_9, L40_320_9) | left_apart_point(A39_320_9, reverse_line(L40_320_9)))
% 293.42/42.85
% 293.42/42.85 [10288] ALPHA_NOT_OR : ~(left_apart_point(A39_320_9, L40_320_9) | left_apart_point(A39_320_9, reverse_line(L40_320_9)))
% 293.42/42.85 -> [10290] ~left_apart_point(A39_320_9, L40_320_9), ~left_apart_point(A39_320_9, reverse_line(L40_320_9))
% 293.42/42.85
% 293.42/42.85 [10290] CLOSURE : ~left_apart_point(A39_320_9, L40_320_9)
% 293.42/42.85
% 293.42/42.85 [7462] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85 -> [7513] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.85 -> [7514] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [7514] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [7513] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.85
% 293.42/42.85 [471] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.85 -> [652] ~distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.85
% 293.42/42.85 [652] 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))))
% 293.42/42.85 -> [1481] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.85
% 293.42/42.85 [1481] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.85 -> [1482] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.85 -> [1483] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.85
% 293.42/42.85 [1482] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.85
% 293.42/42.85 [1483] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.85 -> [3523] distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.85 -> [3524] distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.85
% 293.42/42.85 [3524] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.85
% 293.42/42.85 [3523] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.85 -> [3620] ~distinct_lines(N27_65_3, N27_65_3)
% 293.42/42.85
% 293.42/42.85 [3620] 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))))
% 293.42/42.85 -> [3623] (distinct_lines(N27_65_3, N27_65_3) => (distinct_lines(N27_65_3, N27_65_3) | distinct_lines(N27_65_3, N27_65_3)))
% 293.42/42.85
% 293.42/42.85 [3623] 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)))
% 293.42/42.85 -> [3626] ~distinct_lines(N27_65_3, N27_65_3)
% 293.42/42.85 -> [3627] (distinct_lines(N27_65_3, N27_65_3) | distinct_lines(N27_65_3, N27_65_3))
% 293.42/42.85
% 293.42/42.85 [3627] BETA_OR : (distinct_lines(N27_65_3, N27_65_3) | distinct_lines(N27_65_3, N27_65_3))
% 293.42/42.85 -> [3628] distinct_lines(N27_65_3, N27_65_3)
% 293.42/42.85 -> [3629] distinct_lines(N27_65_3, N27_65_3)
% 293.42/42.85
% 293.42/42.85 [3628] CLOSURE : distinct_lines(N27_65_3, N27_65_3)
% 293.42/42.85
% 293.42/42.85 [3629] CLOSURE : distinct_lines(N27_65_3, N27_65_3)
% 293.42/42.85
% 293.42/42.85 [3626] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.85 -> [3638] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [3638] 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))))
% 293.42/42.85 -> [3731] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878)))
% 293.42/42.85
% 293.42/42.85 [3731] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878)))
% 293.42/42.85 -> [3732] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.85 -> [3733] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [3732] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.85
% 293.42/42.85 [3733] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878))
% 293.42/42.85 -> [4562] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.85 -> [4563] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [4562] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [4563] 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))))))
% 293.42/42.85 -> [6100] ((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)))))
% 293.42/42.85
% 293.42/42.85 [6100] 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)))))
% 293.42/42.85 -> [6101] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85 -> [6102] ((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))))
% 293.42/42.85
% 293.42/42.85 [6101] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85 -> [6138] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.85 -> [6139] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [6139] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [6138] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.85
% 293.42/42.85 [6102] 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))))
% 293.42/42.85 -> [12923] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [12924] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.85
% 293.42/42.85 [12923] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [16761] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [16761] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [12924] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [12928] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [12928] 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)))))
% 293.42/42.85 -> [17725] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.85
% 293.42/42.85 [17725] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.85 -> [17727] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.85 -> [17728] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.85
% 293.42/42.85 [17728] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [17731] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.85 -> [17732] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [17731] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [17732] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [17980] ((unequally_directed_lines(skolem_N7979, M38_618_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_618_8))) => (left_convergent_lines(skolem_N7979, M38_618_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_618_8))))
% 293.42/42.85
% 293.42/42.85 [17980] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_618_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_618_8))) => (left_convergent_lines(skolem_N7979, M38_618_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_618_8))))
% 293.42/42.85 -> [17982] ~(unequally_directed_lines(skolem_N7979, M38_618_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_618_8)))
% 293.42/42.85 -> [17983] (left_convergent_lines(skolem_N7979, M38_618_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_618_8)))
% 293.42/42.85
% 293.42/42.85 [17982] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_618_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_618_8)))
% 293.42/42.85 -> [18063] ~unequally_directed_lines(skolem_N7979, M38_618_8)
% 293.42/42.85 -> [18064] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_618_8))
% 293.42/42.85
% 293.42/42.85 [18064] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_618_8))
% 293.42/42.85
% 293.42/42.85 [18063] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_618_8)
% 293.42/42.85
% 293.42/42.85 [17983] BETA_OR : (left_convergent_lines(skolem_N7979, M38_618_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_618_8)))
% 293.42/42.85 -> [17984] left_convergent_lines(skolem_N7979, M38_618_8)
% 293.42/42.85 -> [17985] left_convergent_lines(skolem_N7979, reverse_line(M38_618_8))
% 293.42/42.85
% 293.42/42.85 [17985] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [18239] ~(left_apart_point(A39_1196_9, L40_1196_9) | left_apart_point(A39_1196_9, reverse_line(L40_1196_9)))
% 293.42/42.85
% 293.42/42.85 [18239] ALPHA_NOT_OR : ~(left_apart_point(A39_1196_9, L40_1196_9) | left_apart_point(A39_1196_9, reverse_line(L40_1196_9)))
% 293.42/42.85 -> [18240] ~left_apart_point(A39_1196_9, L40_1196_9), ~left_apart_point(A39_1196_9, reverse_line(L40_1196_9))
% 293.42/42.85
% 293.42/42.85 [18240] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.85 -> [18485] ~(left_convergent_lines(L41_157_10, M42_157_10) | left_convergent_lines(L41_157_10, reverse_line(M42_157_10)))
% 293.42/42.85
% 293.42/42.85 [18485] ALPHA_NOT_OR : ~(left_convergent_lines(L41_157_10, M42_157_10) | left_convergent_lines(L41_157_10, reverse_line(M42_157_10)))
% 293.42/42.85 -> [18489] ~left_convergent_lines(L41_157_10, M42_157_10), ~left_convergent_lines(L41_157_10, reverse_line(M42_157_10))
% 293.42/42.85
% 293.42/42.85 [18489] CLOSURE : ~left_convergent_lines(L41_157_10, M42_157_10)
% 293.42/42.85
% 293.42/42.85 [17984] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [18283] ~(left_apart_point(A39_1204_9, L40_1204_9) | left_apart_point(A39_1204_9, reverse_line(L40_1204_9)))
% 293.42/42.85
% 293.42/42.85 [18283] ALPHA_NOT_OR : ~(left_apart_point(A39_1204_9, L40_1204_9) | left_apart_point(A39_1204_9, reverse_line(L40_1204_9)))
% 293.42/42.85 -> [18284] ~left_apart_point(A39_1204_9, L40_1204_9), ~left_apart_point(A39_1204_9, reverse_line(L40_1204_9))
% 293.42/42.85
% 293.42/42.85 [18284] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.85 -> [18523] ~(left_convergent_lines(L41_159_10, M42_159_10) | left_convergent_lines(L41_159_10, reverse_line(M42_159_10)))
% 293.42/42.85
% 293.42/42.85 [18523] ALPHA_NOT_OR : ~(left_convergent_lines(L41_159_10, M42_159_10) | left_convergent_lines(L41_159_10, reverse_line(M42_159_10)))
% 293.42/42.85 -> [18527] ~left_convergent_lines(L41_159_10, M42_159_10), ~left_convergent_lines(L41_159_10, reverse_line(M42_159_10))
% 293.42/42.85
% 293.42/42.85 [18527] CLOSURE : ~left_convergent_lines(L41_159_10, M42_159_10)
% 293.42/42.85
% 293.42/42.85 [17727] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.85 -> [17782] ~line(skolem_M7878)
% 293.42/42.85 -> [17783] ~line(skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [17783] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [17971] ((unequally_directed_lines(skolem_N7979, M38_617_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_617_8))) => (left_convergent_lines(skolem_N7979, M38_617_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_617_8))))
% 293.42/42.85
% 293.42/42.85 [17971] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_617_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_617_8))) => (left_convergent_lines(skolem_N7979, M38_617_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_617_8))))
% 293.42/42.85 -> [17973] ~(unequally_directed_lines(skolem_N7979, M38_617_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_617_8)))
% 293.42/42.85 -> [17974] (left_convergent_lines(skolem_N7979, M38_617_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_617_8)))
% 293.42/42.85
% 293.42/42.85 [17973] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_617_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_617_8)))
% 293.42/42.85 -> [18052] ~unequally_directed_lines(skolem_N7979, M38_617_8)
% 293.42/42.85 -> [18053] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_617_8))
% 293.42/42.85
% 293.42/42.85 [18053] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_617_8))
% 293.42/42.85
% 293.42/42.85 [18052] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_617_8)
% 293.42/42.85
% 293.42/42.85 [17974] BETA_OR : (left_convergent_lines(skolem_N7979, M38_617_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_617_8)))
% 293.42/42.85 -> [17977] left_convergent_lines(skolem_N7979, M38_617_8)
% 293.42/42.85 -> [17978] left_convergent_lines(skolem_N7979, reverse_line(M38_617_8))
% 293.42/42.85
% 293.42/42.85 [17978] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [18247] ~(left_apart_point(A39_1198_9, L40_1198_9) | left_apart_point(A39_1198_9, reverse_line(L40_1198_9)))
% 293.42/42.85
% 293.42/42.85 [18247] ALPHA_NOT_OR : ~(left_apart_point(A39_1198_9, L40_1198_9) | left_apart_point(A39_1198_9, reverse_line(L40_1198_9)))
% 293.42/42.85 -> [18249] ~left_apart_point(A39_1198_9, L40_1198_9), ~left_apart_point(A39_1198_9, reverse_line(L40_1198_9))
% 293.42/42.85
% 293.42/42.85 [18249] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.85 -> [18272] ~(left_convergent_lines(L41_150_10, M42_150_10) | left_convergent_lines(L41_150_10, reverse_line(M42_150_10)))
% 293.42/42.85
% 293.42/42.85 [18272] ALPHA_NOT_OR : ~(left_convergent_lines(L41_150_10, M42_150_10) | left_convergent_lines(L41_150_10, reverse_line(M42_150_10)))
% 293.42/42.85 -> [18273] ~left_convergent_lines(L41_150_10, M42_150_10), ~left_convergent_lines(L41_150_10, reverse_line(M42_150_10))
% 293.42/42.85
% 293.42/42.85 [18273] CLOSURE : ~left_convergent_lines(L41_150_10, M42_150_10)
% 293.42/42.85
% 293.42/42.85 [17977] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [18274] ~(left_apart_point(A39_1202_9, L40_1202_9) | left_apart_point(A39_1202_9, reverse_line(L40_1202_9)))
% 293.42/42.85
% 293.42/42.85 [18274] ALPHA_NOT_OR : ~(left_apart_point(A39_1202_9, L40_1202_9) | left_apart_point(A39_1202_9, reverse_line(L40_1202_9)))
% 293.42/42.85 -> [18275] ~left_apart_point(A39_1202_9, L40_1202_9), ~left_apart_point(A39_1202_9, reverse_line(L40_1202_9))
% 293.42/42.85
% 293.42/42.85 [18275] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.85 -> [18471] ~(left_convergent_lines(L41_155_10, M42_155_10) | left_convergent_lines(L41_155_10, reverse_line(M42_155_10)))
% 293.42/42.85
% 293.42/42.85 [18471] ALPHA_NOT_OR : ~(left_convergent_lines(L41_155_10, M42_155_10) | left_convergent_lines(L41_155_10, reverse_line(M42_155_10)))
% 293.42/42.85 -> [18473] ~left_convergent_lines(L41_155_10, M42_155_10), ~left_convergent_lines(L41_155_10, reverse_line(M42_155_10))
% 293.42/42.85
% 293.42/42.85 [18473] CLOSURE : ~left_convergent_lines(L41_155_10, M42_155_10)
% 293.42/42.85
% 293.42/42.85 [17782] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [18037] ((unequally_directed_lines(skolem_N7979, M38_620_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_620_8))) => (left_convergent_lines(skolem_N7979, M38_620_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_620_8))))
% 293.42/42.85
% 293.42/42.85 [18037] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_620_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_620_8))) => (left_convergent_lines(skolem_N7979, M38_620_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_620_8))))
% 293.42/42.85 -> [18038] ~(unequally_directed_lines(skolem_N7979, M38_620_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_620_8)))
% 293.42/42.85 -> [18039] (left_convergent_lines(skolem_N7979, M38_620_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_620_8)))
% 293.42/42.85
% 293.42/42.85 [18038] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_620_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_620_8)))
% 293.42/42.85 -> [18109] ~unequally_directed_lines(skolem_N7979, M38_620_8)
% 293.42/42.85 -> [18110] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_620_8))
% 293.42/42.85
% 293.42/42.85 [18109] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_620_8)
% 293.42/42.85
% 293.42/42.85 [18110] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_620_8))
% 293.42/42.85
% 293.42/42.85 [18039] BETA_OR : (left_convergent_lines(skolem_N7979, M38_620_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_620_8)))
% 293.42/42.85 -> [18044] left_convergent_lines(skolem_N7979, M38_620_8)
% 293.42/42.85 -> [18045] left_convergent_lines(skolem_N7979, reverse_line(M38_620_8))
% 293.42/42.85
% 293.42/42.85 [18045] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [18268] ~(left_apart_point(A39_1201_9, L40_1201_9) | left_apart_point(A39_1201_9, reverse_line(L40_1201_9)))
% 293.42/42.85
% 293.42/42.85 [18268] ALPHA_NOT_OR : ~(left_apart_point(A39_1201_9, L40_1201_9) | left_apart_point(A39_1201_9, reverse_line(L40_1201_9)))
% 293.42/42.85 -> [18271] ~left_apart_point(A39_1201_9, L40_1201_9), ~left_apart_point(A39_1201_9, reverse_line(L40_1201_9))
% 293.42/42.85
% 293.42/42.85 [18271] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.85 -> [18466] ~(left_convergent_lines(L41_153_10, M42_153_10) | left_convergent_lines(L41_153_10, reverse_line(M42_153_10)))
% 293.42/42.85
% 293.42/42.85 [18466] ALPHA_NOT_OR : ~(left_convergent_lines(L41_153_10, M42_153_10) | left_convergent_lines(L41_153_10, reverse_line(M42_153_10)))
% 293.42/42.85 -> [18467] ~left_convergent_lines(L41_153_10, M42_153_10), ~left_convergent_lines(L41_153_10, reverse_line(M42_153_10))
% 293.42/42.85
% 293.42/42.85 [18467] CLOSURE : ~left_convergent_lines(L41_153_10, M42_153_10)
% 293.42/42.85
% 293.42/42.85 [18044] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [18329] ~(left_apart_point(A39_1210_9, L40_1210_9) | left_apart_point(A39_1210_9, reverse_line(L40_1210_9)))
% 293.42/42.85
% 293.42/42.85 [18329] ALPHA_NOT_OR : ~(left_apart_point(A39_1210_9, L40_1210_9) | left_apart_point(A39_1210_9, reverse_line(L40_1210_9)))
% 293.42/42.85 -> [18330] ~left_apart_point(A39_1210_9, L40_1210_9), ~left_apart_point(A39_1210_9, reverse_line(L40_1210_9))
% 293.42/42.85
% 293.42/42.85 [18330] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.85 -> [19042] ~(left_convergent_lines(L41_162_10, M42_162_10) | left_convergent_lines(L41_162_10, reverse_line(M42_162_10)))
% 293.42/42.85
% 293.42/42.85 [19042] ALPHA_NOT_OR : ~(left_convergent_lines(L41_162_10, M42_162_10) | left_convergent_lines(L41_162_10, reverse_line(M42_162_10)))
% 293.42/42.85 -> [19050] ~left_convergent_lines(L41_162_10, M42_162_10), ~left_convergent_lines(L41_162_10, reverse_line(M42_162_10))
% 293.42/42.85
% 293.42/42.85 [19050] CLOSURE : ~left_convergent_lines(L41_162_10, M42_162_10)
% 293.42/42.85
% 293.42/42.85 [440] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.85 -> [445] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.85
% 293.42/42.85 [445] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.85 -> [447] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.42/42.85 -> [448] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [447] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.85 -> [739] ~distinct_points(C23_66_1, C23_66_1)
% 293.42/42.85
% 293.42/42.85 [739] 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))))
% 293.42/42.85 -> [1217] (distinct_points(C23_66_1, C23_66_1) => (distinct_points(C23_66_1, C23_66_1) | distinct_points(C23_66_1, C23_66_1)))
% 293.42/42.85
% 293.42/42.85 [1217] BETA_IMPLY : (distinct_points(C23_66_1, C23_66_1) => (distinct_points(C23_66_1, C23_66_1) | distinct_points(C23_66_1, C23_66_1)))
% 293.42/42.85 -> [1218] ~distinct_points(C23_66_1, C23_66_1)
% 293.42/42.85 -> [1219] (distinct_points(C23_66_1, C23_66_1) | distinct_points(C23_66_1, C23_66_1))
% 293.42/42.85
% 293.42/42.85 [1219] BETA_OR : (distinct_points(C23_66_1, C23_66_1) | distinct_points(C23_66_1, C23_66_1))
% 293.42/42.85 -> [1221] distinct_points(C23_66_1, C23_66_1)
% 293.42/42.85 -> [1222] distinct_points(C23_66_1, C23_66_1)
% 293.42/42.85
% 293.42/42.85 [1221] CLOSURE : distinct_points(C23_66_1, C23_66_1)
% 293.42/42.85
% 293.42/42.85 [1222] CLOSURE : distinct_points(C23_66_1, C23_66_1)
% 293.42/42.85
% 293.42/42.85 [1218] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.85 -> [1868] ~distinct_lines(N27_51_3, N27_51_3)
% 293.42/42.85
% 293.42/42.85 [1868] 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))))
% 293.42/42.85 -> [3337] (distinct_lines(N27_51_3, N27_51_3) => (distinct_lines(N27_51_3, N27_51_3) | distinct_lines(N27_51_3, N27_51_3)))
% 293.42/42.85
% 293.42/42.85 [3337] 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)))
% 293.42/42.85 -> [3338] ~distinct_lines(N27_51_3, N27_51_3)
% 293.42/42.85 -> [3339] (distinct_lines(N27_51_3, N27_51_3) | distinct_lines(N27_51_3, N27_51_3))
% 293.42/42.85
% 293.42/42.85 [3339] BETA_OR : (distinct_lines(N27_51_3, N27_51_3) | distinct_lines(N27_51_3, N27_51_3))
% 293.42/42.85 -> [3344] distinct_lines(N27_51_3, N27_51_3)
% 293.42/42.85 -> [3345] distinct_lines(N27_51_3, N27_51_3)
% 293.42/42.85
% 293.42/42.85 [3345] CLOSURE : distinct_lines(N27_51_3, N27_51_3)
% 293.42/42.85
% 293.42/42.85 [3344] CLOSURE : distinct_lines(N27_51_3, N27_51_3)
% 293.42/42.85
% 293.42/42.85 [3338] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.85 -> [3408] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [3408] 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))))
% 293.42/42.85 -> [4015] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878)))
% 293.42/42.85
% 293.42/42.85 [4015] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878)))
% 293.42/42.85 -> [4018] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.85 -> [4019] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [4018] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.85
% 293.42/42.85 [4019] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878))
% 293.42/42.85 -> [5855] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.85 -> [5856] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [5855] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [5856] 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))))))
% 293.42/42.85 -> [7450] ((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)))))
% 293.42/42.85
% 293.42/42.85 [7450] 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)))))
% 293.42/42.85 -> [7454] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85 -> [7455] ((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))))
% 293.42/42.85
% 293.42/42.85 [7454] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85 -> [7589] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.85 -> [7590] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [7590] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [7589] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.85
% 293.42/42.85 [7455] 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))))
% 293.42/42.85 -> [13276] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [13277] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.85
% 293.42/42.85 [13276] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [13287] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [13287] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [13277] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [13280] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [13280] 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)))))
% 293.42/42.85 -> [13422] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.85
% 293.42/42.85 [13422] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.85 -> [13430] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.85 -> [13431] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.85
% 293.42/42.85 [13431] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [13445] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.85 -> [13446] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [13445] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [13446] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [13580] ((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))))
% 293.42/42.85
% 293.42/42.85 [13580] 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))))
% 293.42/42.85 -> [13585] ~(unequally_directed_lines(skolem_N7979, M38_341_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_341_8)))
% 293.42/42.85 -> [13586] (left_convergent_lines(skolem_N7979, M38_341_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_341_8)))
% 293.42/42.85
% 293.42/42.85 [13586] BETA_OR : (left_convergent_lines(skolem_N7979, M38_341_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_341_8)))
% 293.42/42.85 -> [13593] left_convergent_lines(skolem_N7979, M38_341_8)
% 293.42/42.85 -> [13594] left_convergent_lines(skolem_N7979, reverse_line(M38_341_8))
% 293.42/42.85
% 293.42/42.85 [13594] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [13727] ~(left_apart_point(A39_649_9, L40_649_9) | left_apart_point(A39_649_9, reverse_line(L40_649_9)))
% 293.42/42.85
% 293.42/42.85 [13727] ALPHA_NOT_OR : ~(left_apart_point(A39_649_9, L40_649_9) | left_apart_point(A39_649_9, reverse_line(L40_649_9)))
% 293.42/42.85 -> [13729] ~left_apart_point(A39_649_9, L40_649_9), ~left_apart_point(A39_649_9, reverse_line(L40_649_9))
% 293.42/42.85
% 293.42/42.85 [13729] CLOSURE : ~left_apart_point(A39_649_9, L40_649_9)
% 293.42/42.85
% 293.42/42.85 [13593] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [13838] ~(left_apart_point(A39_668_9, L40_668_9) | left_apart_point(A39_668_9, reverse_line(L40_668_9)))
% 293.42/42.85
% 293.42/42.85 [13838] ALPHA_NOT_OR : ~(left_apart_point(A39_668_9, L40_668_9) | left_apart_point(A39_668_9, reverse_line(L40_668_9)))
% 293.42/42.85 -> [13859] ~left_apart_point(A39_668_9, L40_668_9), ~left_apart_point(A39_668_9, reverse_line(L40_668_9))
% 293.42/42.85
% 293.42/42.85 [13859] CLOSURE : ~left_apart_point(A39_668_9, L40_668_9)
% 293.42/42.85
% 293.42/42.85 [13585] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_341_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_341_8)))
% 293.42/42.85 -> [13626] ~unequally_directed_lines(skolem_N7979, M38_341_8)
% 293.42/42.85 -> [13627] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_341_8))
% 293.42/42.85
% 293.42/42.85 [13627] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_341_8))
% 293.42/42.85
% 293.42/42.85 [13626] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_341_8)
% 293.42/42.85
% 293.42/42.85 [13430] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.85 -> [13460] ~line(skolem_M7878)
% 293.42/42.85 -> [13461] ~line(skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [13460] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [13643] ((unequally_directed_lines(skolem_N7979, M38_345_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_345_8))) => (left_convergent_lines(skolem_N7979, M38_345_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_345_8))))
% 293.42/42.85
% 293.42/42.85 [13643] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_345_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_345_8))) => (left_convergent_lines(skolem_N7979, M38_345_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_345_8))))
% 293.42/42.85 -> [13644] ~(unequally_directed_lines(skolem_N7979, M38_345_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_345_8)))
% 293.42/42.85 -> [13645] (left_convergent_lines(skolem_N7979, M38_345_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_345_8)))
% 293.42/42.85
% 293.42/42.85 [13645] BETA_OR : (left_convergent_lines(skolem_N7979, M38_345_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_345_8)))
% 293.42/42.85 -> [13652] left_convergent_lines(skolem_N7979, M38_345_8)
% 293.42/42.85 -> [13653] left_convergent_lines(skolem_N7979, reverse_line(M38_345_8))
% 293.42/42.85
% 293.42/42.85 [13653] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [13808] ~(left_apart_point(A39_661_9, L40_661_9) | left_apart_point(A39_661_9, reverse_line(L40_661_9)))
% 293.42/42.85
% 293.42/42.85 [13808] ALPHA_NOT_OR : ~(left_apart_point(A39_661_9, L40_661_9) | left_apart_point(A39_661_9, reverse_line(L40_661_9)))
% 293.42/42.85 -> [13809] ~left_apart_point(A39_661_9, L40_661_9), ~left_apart_point(A39_661_9, reverse_line(L40_661_9))
% 293.42/42.85
% 293.42/42.85 [13809] CLOSURE : ~left_apart_point(A39_661_9, L40_661_9)
% 293.42/42.85
% 293.42/42.85 [13652] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [13853] ~(left_apart_point(A39_672_9, L40_672_9) | left_apart_point(A39_672_9, reverse_line(L40_672_9)))
% 293.42/42.85
% 293.42/42.85 [13853] ALPHA_NOT_OR : ~(left_apart_point(A39_672_9, L40_672_9) | left_apart_point(A39_672_9, reverse_line(L40_672_9)))
% 293.42/42.85 -> [13854] ~left_apart_point(A39_672_9, L40_672_9), ~left_apart_point(A39_672_9, reverse_line(L40_672_9))
% 293.42/42.85
% 293.42/42.85 [13854] CLOSURE : ~left_apart_point(A39_672_9, L40_672_9)
% 293.42/42.85
% 293.42/42.85 [13644] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_345_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_345_8)))
% 293.42/42.85 -> [13683] ~unequally_directed_lines(skolem_N7979, M38_345_8)
% 293.42/42.85 -> [13684] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_345_8))
% 293.42/42.85
% 293.42/42.85 [13684] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_345_8))
% 293.42/42.85
% 293.42/42.85 [13683] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_345_8)
% 293.42/42.85
% 293.42/42.85 [13461] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [13609] ((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))))
% 293.42/42.85
% 293.42/42.85 [13609] 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))))
% 293.42/42.85 -> [13610] ~(unequally_directed_lines(skolem_N7979, M38_344_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_344_8)))
% 293.42/42.85 -> [13611] (left_convergent_lines(skolem_N7979, M38_344_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_344_8)))
% 293.42/42.85
% 293.42/42.85 [13611] BETA_OR : (left_convergent_lines(skolem_N7979, M38_344_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_344_8)))
% 293.42/42.85 -> [13620] left_convergent_lines(skolem_N7979, M38_344_8)
% 293.42/42.85 -> [13621] left_convergent_lines(skolem_N7979, reverse_line(M38_344_8))
% 293.42/42.85
% 293.42/42.85 [13621] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [13781] ~(left_apart_point(A39_657_9, L40_657_9) | left_apart_point(A39_657_9, reverse_line(L40_657_9)))
% 293.42/42.85
% 293.42/42.85 [13781] ALPHA_NOT_OR : ~(left_apart_point(A39_657_9, L40_657_9) | left_apart_point(A39_657_9, reverse_line(L40_657_9)))
% 293.42/42.85 -> [13782] ~left_apart_point(A39_657_9, L40_657_9), ~left_apart_point(A39_657_9, reverse_line(L40_657_9))
% 293.42/42.85
% 293.42/42.85 [13782] CLOSURE : ~left_apart_point(A39_657_9, L40_657_9)
% 293.42/42.85
% 293.42/42.85 [13620] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [13829] ~(left_apart_point(A39_665_9, L40_665_9) | left_apart_point(A39_665_9, reverse_line(L40_665_9)))
% 293.42/42.85
% 293.42/42.85 [13829] ALPHA_NOT_OR : ~(left_apart_point(A39_665_9, L40_665_9) | left_apart_point(A39_665_9, reverse_line(L40_665_9)))
% 293.42/42.85 -> [13831] ~left_apart_point(A39_665_9, L40_665_9), ~left_apart_point(A39_665_9, reverse_line(L40_665_9))
% 293.42/42.85
% 293.42/42.85 [13831] CLOSURE : ~left_apart_point(A39_665_9, L40_665_9)
% 293.42/42.85
% 293.42/42.85 [13610] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_344_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_344_8)))
% 293.42/42.85 -> [13659] ~unequally_directed_lines(skolem_N7979, M38_344_8)
% 293.42/42.85 -> [13660] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_344_8))
% 293.42/42.85
% 293.42/42.85 [13660] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_344_8))
% 293.42/42.85
% 293.42/42.85 [13659] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_344_8)
% 293.42/42.85
% 293.42/42.85 [448] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.85 -> [1053] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.85
% 293.42/42.85 [1053] 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))))
% 293.42/42.85 -> [2321] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.85
% 293.42/42.85 [2321] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.85 -> [2322] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.85 -> [2323] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.85
% 293.42/42.85 [2322] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.85
% 293.42/42.85 [2323] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.85 -> [2518] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.85 -> [2519] distinct_points(skolem_C8282, skolem_B8181)
% 293.42/42.85
% 293.42/42.85 [2518] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.85
% 293.42/42.85 [2519] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.85 -> [2580] ~distinct_lines(L25_27_3, L25_27_3)
% 293.42/42.85
% 293.42/42.85 [2580] 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))))
% 293.42/42.85 -> [2595] (distinct_lines(L25_27_3, L25_27_3) => (distinct_lines(L25_27_3, L25_27_3) | distinct_lines(L25_27_3, L25_27_3)))
% 293.42/42.85
% 293.42/42.85 [2595] BETA_IMPLY : (distinct_lines(L25_27_3, L25_27_3) => (distinct_lines(L25_27_3, L25_27_3) | distinct_lines(L25_27_3, L25_27_3)))
% 293.42/42.85 -> [2596] ~distinct_lines(L25_27_3, L25_27_3)
% 293.42/42.85 -> [2597] (distinct_lines(L25_27_3, L25_27_3) | distinct_lines(L25_27_3, L25_27_3))
% 293.42/42.85
% 293.42/42.85 [2597] BETA_OR : (distinct_lines(L25_27_3, L25_27_3) | distinct_lines(L25_27_3, L25_27_3))
% 293.42/42.85 -> [2600] distinct_lines(L25_27_3, L25_27_3)
% 293.42/42.85 -> [2601] distinct_lines(L25_27_3, L25_27_3)
% 293.42/42.85
% 293.42/42.85 [2601] CLOSURE : distinct_lines(L25_27_3, L25_27_3)
% 293.42/42.85
% 293.42/42.85 [2600] CLOSURE : distinct_lines(L25_27_3, L25_27_3)
% 293.42/42.85
% 293.42/42.85 [2596] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.85 -> [2609] ~unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.85
% 293.42/42.85 [2609] 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))))
% 293.42/42.85 -> [2625] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.42/42.85
% 293.42/42.85 [2625] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.42/42.85 -> [2626] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.85 -> [2627] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.42/42.85
% 293.42/42.85 [2626] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.85
% 293.42/42.85 [2627] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.42/42.85 -> [7142] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.85 -> [7143] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.85
% 293.42/42.85 [7143] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.85
% 293.42/42.85 [7142] 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))))))
% 293.42/42.85 -> [9294] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_98_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_98_6))) | (unequally_directed_lines(skolem_N7979, N34_98_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_98_6)))))
% 293.42/42.85
% 293.42/42.85 [9294] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_98_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_98_6))) | (unequally_directed_lines(skolem_N7979, N34_98_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_98_6)))))
% 293.42/42.85 -> [9297] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85 -> [9298] ((unequally_directed_lines(skolem_M7878, N34_98_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_98_6))) | (unequally_directed_lines(skolem_N7979, N34_98_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_98_6))))
% 293.42/42.85
% 293.42/42.85 [9297] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85 -> [11528] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.85 -> [11529] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [11529] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [11528] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.85
% 293.42/42.85 [9298] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_98_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_98_6))) | (unequally_directed_lines(skolem_N7979, N34_98_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_98_6))))
% 293.42/42.85 -> [16284] (unequally_directed_lines(skolem_M7878, N34_98_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_98_6)))
% 293.42/42.85 -> [16285] (unequally_directed_lines(skolem_N7979, N34_98_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_98_6)))
% 293.42/42.85
% 293.42/42.85 [16284] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_98_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_98_6)))
% 293.42/42.85 -> [16292] unequally_directed_lines(skolem_M7878, N34_98_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_98_6))
% 293.42/42.85
% 293.42/42.85 [16292] 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)))))
% 293.42/42.85 -> [16320] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))))
% 293.42/42.85
% 293.42/42.85 [16320] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))))
% 293.42/42.85 -> [16321] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.42/42.85 -> [16322] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.42/42.85
% 293.42/42.85 [16321] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.42/42.85 -> [16346] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.85 -> [16347] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.85
% 293.42/42.85 [16346] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [16497] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.85
% 293.42/42.85 [16497] 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))))
% 293.42/42.85 -> [16501] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [16502] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85
% 293.42/42.85 [16501] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [16550] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85 -> [16551] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [16550] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [16551] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [16502] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [16505] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85 -> [16506] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [16505] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [16927] ~(left_apart_point(A39_1021_9, L40_1021_9) | left_apart_point(A39_1021_9, reverse_line(L40_1021_9)))
% 293.42/42.85
% 293.42/42.85 [16927] ALPHA_NOT_OR : ~(left_apart_point(A39_1021_9, L40_1021_9) | left_apart_point(A39_1021_9, reverse_line(L40_1021_9)))
% 293.42/42.85 -> [16928] ~left_apart_point(A39_1021_9, L40_1021_9), ~left_apart_point(A39_1021_9, reverse_line(L40_1021_9))
% 293.42/42.85
% 293.42/42.85 [16928] CLOSURE : ~left_apart_point(A39_1021_9, L40_1021_9)
% 293.42/42.85
% 293.42/42.85 [16506] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [16685] ~(left_apart_point(A39_996_9, L40_996_9) | left_apart_point(A39_996_9, reverse_line(L40_996_9)))
% 293.42/42.85
% 293.42/42.85 [16685] ALPHA_NOT_OR : ~(left_apart_point(A39_996_9, L40_996_9) | left_apart_point(A39_996_9, reverse_line(L40_996_9)))
% 293.42/42.85 -> [16687] ~left_apart_point(A39_996_9, L40_996_9), ~left_apart_point(A39_996_9, reverse_line(L40_996_9))
% 293.42/42.85
% 293.42/42.85 [16687] CLOSURE : ~left_apart_point(A39_996_9, L40_996_9)
% 293.42/42.85
% 293.42/42.85 [16347] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [16409] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.85
% 293.42/42.85 [16409] 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))))
% 293.42/42.85 -> [16410] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [16411] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85
% 293.42/42.85 [16411] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [16415] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85 -> [16416] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [16416] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [16579] ~(left_apart_point(A39_986_9, L40_986_9) | left_apart_point(A39_986_9, reverse_line(L40_986_9)))
% 293.42/42.85
% 293.42/42.85 [16579] ALPHA_NOT_OR : ~(left_apart_point(A39_986_9, L40_986_9) | left_apart_point(A39_986_9, reverse_line(L40_986_9)))
% 293.42/42.85 -> [16581] ~left_apart_point(A39_986_9, L40_986_9), ~left_apart_point(A39_986_9, reverse_line(L40_986_9))
% 293.42/42.85
% 293.42/42.85 [16581] CLOSURE : ~left_apart_point(A39_986_9, L40_986_9)
% 293.42/42.85
% 293.42/42.85 [16415] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [16613] ~(left_apart_point(A39_991_9, L40_991_9) | left_apart_point(A39_991_9, reverse_line(L40_991_9)))
% 293.42/42.85
% 293.42/42.85 [16613] ALPHA_NOT_OR : ~(left_apart_point(A39_991_9, L40_991_9) | left_apart_point(A39_991_9, reverse_line(L40_991_9)))
% 293.42/42.85 -> [16614] ~left_apart_point(A39_991_9, L40_991_9), ~left_apart_point(A39_991_9, reverse_line(L40_991_9))
% 293.42/42.85
% 293.42/42.85 [16614] CLOSURE : ~left_apart_point(A39_991_9, L40_991_9)
% 293.42/42.85
% 293.42/42.85 [16410] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [16434] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85 -> [16435] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [16434] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [16435] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [16322] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.42/42.85 -> [16325] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.85 -> [16326] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.42/42.85
% 293.42/42.85 [16325] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.85
% 293.42/42.85 [16326] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [16424] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.85
% 293.42/42.85 [16424] 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))))
% 293.42/42.85 -> [16426] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [16427] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85
% 293.42/42.85 [16427] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [16428] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85 -> [16429] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [16429] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [16590] ~(left_apart_point(A39_989_9, L40_989_9) | left_apart_point(A39_989_9, reverse_line(L40_989_9)))
% 293.42/42.85
% 293.42/42.85 [16590] ALPHA_NOT_OR : ~(left_apart_point(A39_989_9, L40_989_9) | left_apart_point(A39_989_9, reverse_line(L40_989_9)))
% 293.42/42.85 -> [16594] ~left_apart_point(A39_989_9, L40_989_9), ~left_apart_point(A39_989_9, reverse_line(L40_989_9))
% 293.42/42.85
% 293.42/42.85 [16594] CLOSURE : ~left_apart_point(A39_989_9, L40_989_9)
% 293.42/42.85
% 293.42/42.85 [16428] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [16619] ~(left_apart_point(A39_993_9, L40_993_9) | left_apart_point(A39_993_9, reverse_line(L40_993_9)))
% 293.42/42.85
% 293.42/42.85 [16619] ALPHA_NOT_OR : ~(left_apart_point(A39_993_9, L40_993_9) | left_apart_point(A39_993_9, reverse_line(L40_993_9)))
% 293.42/42.85 -> [16621] ~left_apart_point(A39_993_9, L40_993_9), ~left_apart_point(A39_993_9, reverse_line(L40_993_9))
% 293.42/42.85
% 293.42/42.85 [16621] CLOSURE : ~left_apart_point(A39_993_9, L40_993_9)
% 293.42/42.85
% 293.42/42.85 [16426] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [16444] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85 -> [16445] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [16444] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [16445] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [16285] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_98_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_98_6)))
% 293.42/42.85 -> [16290] unequally_directed_lines(skolem_N7979, N34_98_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_98_6))
% 293.42/42.85
% 293.42/42.85 [16290] 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)))))
% 293.42/42.85 -> [16331] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))))
% 293.42/42.85
% 293.42/42.85 [16331] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))))
% 293.42/42.85 -> [16332] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.42/42.85 -> [16333] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.42/42.85
% 293.42/42.85 [16333] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 293.42/42.85 -> [16338] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.85 -> [16339] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.42/42.85
% 293.42/42.85 [16338] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.85
% 293.42/42.85 [16339] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [16459] ((unequally_directed_lines(skolem_N7979, M38_512_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_512_8))) => (left_convergent_lines(skolem_N7979, M38_512_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_512_8))))
% 293.42/42.85
% 293.42/42.85 [16459] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_512_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_512_8))) => (left_convergent_lines(skolem_N7979, M38_512_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_512_8))))
% 293.42/42.85 -> [16463] ~(unequally_directed_lines(skolem_N7979, M38_512_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_512_8)))
% 293.42/42.85 -> [16464] (left_convergent_lines(skolem_N7979, M38_512_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_512_8)))
% 293.42/42.85
% 293.42/42.85 [16464] BETA_OR : (left_convergent_lines(skolem_N7979, M38_512_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_512_8)))
% 293.42/42.85 -> [16473] left_convergent_lines(skolem_N7979, M38_512_8)
% 293.42/42.85 -> [16474] left_convergent_lines(skolem_N7979, reverse_line(M38_512_8))
% 293.42/42.85
% 293.42/42.85 [16474] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [16537] ~(left_apart_point(A39_977_9, L40_977_9) | left_apart_point(A39_977_9, reverse_line(L40_977_9)))
% 293.42/42.85
% 293.42/42.85 [16537] ALPHA_NOT_OR : ~(left_apart_point(A39_977_9, L40_977_9) | left_apart_point(A39_977_9, reverse_line(L40_977_9)))
% 293.42/42.85 -> [16538] ~left_apart_point(A39_977_9, L40_977_9), ~left_apart_point(A39_977_9, reverse_line(L40_977_9))
% 293.42/42.85
% 293.42/42.85 [16538] CLOSURE : ~left_apart_point(A39_977_9, L40_977_9)
% 293.42/42.85
% 293.42/42.85 [16473] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [16545] ~(left_apart_point(A39_979_9, L40_979_9) | left_apart_point(A39_979_9, reverse_line(L40_979_9)))
% 293.42/42.85
% 293.42/42.85 [16545] ALPHA_NOT_OR : ~(left_apart_point(A39_979_9, L40_979_9) | left_apart_point(A39_979_9, reverse_line(L40_979_9)))
% 293.42/42.85 -> [16546] ~left_apart_point(A39_979_9, L40_979_9), ~left_apart_point(A39_979_9, reverse_line(L40_979_9))
% 293.42/42.85
% 293.42/42.85 [16546] CLOSURE : ~left_apart_point(A39_979_9, L40_979_9)
% 293.42/42.85
% 293.42/42.85 [16463] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_512_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_512_8)))
% 293.42/42.85 -> [16499] ~unequally_directed_lines(skolem_N7979, M38_512_8)
% 293.42/42.85 -> [16500] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_512_8))
% 293.42/42.85
% 293.42/42.85 [16500] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_512_8))
% 293.42/42.85
% 293.42/42.85 [16499] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_512_8)
% 293.42/42.85
% 293.42/42.85 [16332] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 293.42/42.85 -> [16353] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.85 -> [16354] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 293.42/42.85
% 293.42/42.85 [16354] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [16481] ((unequally_directed_lines(skolem_N7979, M38_515_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_515_8))) => (left_convergent_lines(skolem_N7979, M38_515_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_515_8))))
% 293.42/42.85
% 293.42/42.85 [16481] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_515_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_515_8))) => (left_convergent_lines(skolem_N7979, M38_515_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_515_8))))
% 293.42/42.85 -> [16485] ~(unequally_directed_lines(skolem_N7979, M38_515_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_515_8)))
% 293.42/42.85 -> [16486] (left_convergent_lines(skolem_N7979, M38_515_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_515_8)))
% 293.42/42.85
% 293.42/42.85 [16486] BETA_OR : (left_convergent_lines(skolem_N7979, M38_515_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_515_8)))
% 293.42/42.85 -> [16491] left_convergent_lines(skolem_N7979, M38_515_8)
% 293.42/42.85 -> [16492] left_convergent_lines(skolem_N7979, reverse_line(M38_515_8))
% 293.42/42.85
% 293.42/42.85 [16492] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [16673] ~(left_apart_point(A39_995_9, L40_995_9) | left_apart_point(A39_995_9, reverse_line(L40_995_9)))
% 293.42/42.85
% 293.42/42.85 [16673] ALPHA_NOT_OR : ~(left_apart_point(A39_995_9, L40_995_9) | left_apart_point(A39_995_9, reverse_line(L40_995_9)))
% 293.42/42.85 -> [16675] ~left_apart_point(A39_995_9, L40_995_9), ~left_apart_point(A39_995_9, reverse_line(L40_995_9))
% 293.42/42.85
% 293.42/42.85 [16675] CLOSURE : ~left_apart_point(A39_995_9, L40_995_9)
% 293.42/42.85
% 293.42/42.85 [16491] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [16879] ~(left_apart_point(A39_1015_9, L40_1015_9) | left_apart_point(A39_1015_9, reverse_line(L40_1015_9)))
% 293.42/42.85
% 293.42/42.85 [16879] ALPHA_NOT_OR : ~(left_apart_point(A39_1015_9, L40_1015_9) | left_apart_point(A39_1015_9, reverse_line(L40_1015_9)))
% 293.42/42.85 -> [16880] ~left_apart_point(A39_1015_9, L40_1015_9), ~left_apart_point(A39_1015_9, reverse_line(L40_1015_9))
% 293.42/42.85
% 293.42/42.85 [16880] CLOSURE : ~left_apart_point(A39_1015_9, L40_1015_9)
% 293.42/42.85
% 293.42/42.85 [16485] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_515_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_515_8)))
% 293.42/42.85 -> [16541] ~unequally_directed_lines(skolem_N7979, M38_515_8)
% 293.42/42.85 -> [16542] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_515_8))
% 293.42/42.85
% 293.42/42.85 [16542] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_515_8))
% 293.42/42.85
% 293.42/42.85 [16541] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_515_8)
% 293.42/42.85
% 293.42/42.85 [16353] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [16452] ((unequally_directed_lines(skolem_N7979, M38_511_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_511_8))) => (left_convergent_lines(skolem_N7979, M38_511_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_511_8))))
% 293.42/42.85
% 293.42/42.85 [16452] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_511_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_511_8))) => (left_convergent_lines(skolem_N7979, M38_511_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_511_8))))
% 293.42/42.85 -> [16457] ~(unequally_directed_lines(skolem_N7979, M38_511_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_511_8)))
% 293.42/42.85 -> [16458] (left_convergent_lines(skolem_N7979, M38_511_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_511_8)))
% 293.42/42.85
% 293.42/42.85 [16457] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_511_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_511_8)))
% 293.42/42.85 -> [16534] ~unequally_directed_lines(skolem_N7979, M38_511_8)
% 293.42/42.85 -> [16535] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_511_8))
% 293.42/42.85
% 293.42/42.85 [16535] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_511_8))
% 293.42/42.85
% 293.42/42.85 [16534] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_511_8)
% 293.42/42.85
% 293.42/42.85 [16458] BETA_OR : (left_convergent_lines(skolem_N7979, M38_511_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_511_8)))
% 293.42/42.85 -> [16468] left_convergent_lines(skolem_N7979, M38_511_8)
% 293.42/42.85 -> [16469] left_convergent_lines(skolem_N7979, reverse_line(M38_511_8))
% 293.42/42.85
% 293.42/42.85 [16469] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [16631] ~(left_apart_point(A39_994_9, L40_994_9) | left_apart_point(A39_994_9, reverse_line(L40_994_9)))
% 293.42/42.85
% 293.42/42.85 [16631] ALPHA_NOT_OR : ~(left_apart_point(A39_994_9, L40_994_9) | left_apart_point(A39_994_9, reverse_line(L40_994_9)))
% 293.42/42.85 -> [16635] ~left_apart_point(A39_994_9, L40_994_9), ~left_apart_point(A39_994_9, reverse_line(L40_994_9))
% 293.42/42.85
% 293.42/42.85 [16635] CLOSURE : ~left_apart_point(A39_994_9, L40_994_9)
% 293.42/42.85
% 293.42/42.85 [16468] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [16701] ~(left_apart_point(A39_998_9, L40_998_9) | left_apart_point(A39_998_9, reverse_line(L40_998_9)))
% 293.42/42.85
% 293.42/42.85 [16701] ALPHA_NOT_OR : ~(left_apart_point(A39_998_9, L40_998_9) | left_apart_point(A39_998_9, reverse_line(L40_998_9)))
% 293.42/42.85 -> [16702] ~left_apart_point(A39_998_9, L40_998_9), ~left_apart_point(A39_998_9, reverse_line(L40_998_9))
% 293.42/42.85
% 293.42/42.85 [16702] CLOSURE : ~left_apart_point(A39_998_9, L40_998_9)
% 293.42/42.85
% 293.42/42.85 [412] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.85 -> [419] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.85
% 293.42/42.85 [419] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.85 -> [868] ~distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.85
% 293.42/42.85 [868] 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))))
% 293.42/42.85 -> [1204] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.85
% 293.42/42.85 [1204] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.85 -> [1207] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.85 -> [1208] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.85
% 293.42/42.85 [1207] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.85
% 293.42/42.85 [1208] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.85 -> [2116] distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.85 -> [2117] distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.85
% 293.42/42.85 [2117] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.85
% 293.42/42.85 [2116] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.85 -> [2240] ~distinct_lines(M26_73_3, M26_73_3)
% 293.42/42.85
% 293.42/42.85 [2240] 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))))
% 293.42/42.85 -> [3776] (distinct_lines(M26_73_3, M26_73_3) => (distinct_lines(M26_73_3, M26_73_3) | distinct_lines(M26_73_3, M26_73_3)))
% 293.42/42.85
% 293.42/42.85 [3776] BETA_IMPLY : (distinct_lines(M26_73_3, M26_73_3) => (distinct_lines(M26_73_3, M26_73_3) | distinct_lines(M26_73_3, M26_73_3)))
% 293.42/42.85 -> [3780] ~distinct_lines(M26_73_3, M26_73_3)
% 293.42/42.85 -> [3781] (distinct_lines(M26_73_3, M26_73_3) | distinct_lines(M26_73_3, M26_73_3))
% 293.42/42.85
% 293.42/42.85 [3781] BETA_OR : (distinct_lines(M26_73_3, M26_73_3) | distinct_lines(M26_73_3, M26_73_3))
% 293.42/42.85 -> [3784] distinct_lines(M26_73_3, M26_73_3)
% 293.42/42.85 -> [3785] distinct_lines(M26_73_3, M26_73_3)
% 293.42/42.85
% 293.42/42.85 [3784] CLOSURE : distinct_lines(M26_73_3, M26_73_3)
% 293.42/42.85
% 293.42/42.85 [3785] CLOSURE : distinct_lines(M26_73_3, M26_73_3)
% 293.42/42.85
% 293.42/42.85 [3780] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.85 -> [4130] ~unequally_directed_lines(skolem_N7979, skolem_N7979)
% 293.42/42.85
% 293.42/42.85 [4130] 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))))
% 293.42/42.85 -> [4845] (unequally_directed_lines(skolem_M7878, skolem_N7979) => (unequally_directed_lines(skolem_M7878, skolem_N7979) | unequally_directed_lines(skolem_N7979, skolem_N7979)))
% 293.42/42.85
% 293.42/42.85 [4845] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, skolem_N7979) => (unequally_directed_lines(skolem_M7878, skolem_N7979) | unequally_directed_lines(skolem_N7979, skolem_N7979)))
% 293.42/42.85 -> [4848] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.85 -> [4849] (unequally_directed_lines(skolem_M7878, skolem_N7979) | unequally_directed_lines(skolem_N7979, skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [4848] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.85
% 293.42/42.85 [4849] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_N7979) | unequally_directed_lines(skolem_N7979, skolem_N7979))
% 293.42/42.85 -> [9187] unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.85 -> [9188] unequally_directed_lines(skolem_N7979, skolem_N7979)
% 293.42/42.85
% 293.42/42.85 [9188] CLOSURE : unequally_directed_lines(skolem_N7979, skolem_N7979)
% 293.42/42.85
% 293.42/42.85 [9187] 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))))))
% 293.42/42.85 -> [17759] ((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)))))
% 293.42/42.85
% 293.42/42.85 [17759] 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)))))
% 293.42/42.85 -> [17760] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85 -> [17761] ((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))))
% 293.42/42.85
% 293.42/42.85 [17760] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85 -> [20215] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.85 -> [20216] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [20216] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [20215] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.85
% 293.42/42.85 [17761] 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))))
% 293.42/42.85 -> [25975] (unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85 -> [25976] (unequally_directed_lines(skolem_N7979, skolem_N7979) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979)))
% 293.42/42.85
% 293.42/42.85 [25976] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_N7979) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979)))
% 293.42/42.85 -> [25977] unequally_directed_lines(skolem_N7979, skolem_N7979), unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [25977] CLOSURE : unequally_directed_lines(skolem_N7979, skolem_N7979)
% 293.42/42.85
% 293.42/42.85 [25975] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85 -> [25981] unequally_directed_lines(skolem_M7878, skolem_N7979), unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [25981] 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)))))
% 293.42/42.85 -> [26184] ((line(skolem_N7979) & line(skolem_N7979)) => (unequally_directed_lines(skolem_N7979, skolem_N7979) | unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979))))
% 293.42/42.85
% 293.42/42.85 [26184] BETA_IMPLY : ((line(skolem_N7979) & line(skolem_N7979)) => (unequally_directed_lines(skolem_N7979, skolem_N7979) | unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979))))
% 293.42/42.85 -> [26186] ~(line(skolem_N7979) & line(skolem_N7979))
% 293.42/42.85 -> [26187] (unequally_directed_lines(skolem_N7979, skolem_N7979) | unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979)))
% 293.42/42.85
% 293.42/42.85 [26187] BETA_OR : (unequally_directed_lines(skolem_N7979, skolem_N7979) | unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979)))
% 293.42/42.85 -> [26192] unequally_directed_lines(skolem_N7979, skolem_N7979)
% 293.42/42.85 -> [26193] unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [26192] CLOSURE : unequally_directed_lines(skolem_N7979, skolem_N7979)
% 293.42/42.85
% 293.42/42.85 [26193] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [26225] ((unequally_directed_lines(skolem_M7878, M38_1160_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1160_8))) => (left_convergent_lines(skolem_M7878, M38_1160_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1160_8))))
% 293.42/42.85
% 293.42/42.85 [26225] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_1160_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1160_8))) => (left_convergent_lines(skolem_M7878, M38_1160_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1160_8))))
% 293.42/42.85 -> [26226] ~(unequally_directed_lines(skolem_M7878, M38_1160_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1160_8)))
% 293.42/42.85 -> [26227] (left_convergent_lines(skolem_M7878, M38_1160_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1160_8)))
% 293.42/42.85
% 293.42/42.85 [26227] BETA_OR : (left_convergent_lines(skolem_M7878, M38_1160_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1160_8)))
% 293.42/42.85 -> [26229] left_convergent_lines(skolem_M7878, M38_1160_8)
% 293.42/42.85 -> [26230] left_convergent_lines(skolem_M7878, reverse_line(M38_1160_8))
% 293.42/42.85
% 293.42/42.85 [26230] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [26394] ~(left_apart_point(A39_2325_9, L40_2325_9) | left_apart_point(A39_2325_9, reverse_line(L40_2325_9)))
% 293.42/42.85
% 293.42/42.85 [26394] ALPHA_NOT_OR : ~(left_apart_point(A39_2325_9, L40_2325_9) | left_apart_point(A39_2325_9, reverse_line(L40_2325_9)))
% 293.42/42.85 -> [26395] ~left_apart_point(A39_2325_9, L40_2325_9), ~left_apart_point(A39_2325_9, reverse_line(L40_2325_9))
% 293.42/42.85
% 293.42/42.85 [26395] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.85 -> [26400] ~(left_convergent_lines(L41_254_10, M42_254_10) | left_convergent_lines(L41_254_10, reverse_line(M42_254_10)))
% 293.42/42.85
% 293.42/42.85 [26400] ALPHA_NOT_OR : ~(left_convergent_lines(L41_254_10, M42_254_10) | left_convergent_lines(L41_254_10, reverse_line(M42_254_10)))
% 293.42/42.85 -> [26402] ~left_convergent_lines(L41_254_10, M42_254_10), ~left_convergent_lines(L41_254_10, reverse_line(M42_254_10))
% 293.42/42.85
% 293.42/42.85 [26402] CLOSURE : ~left_convergent_lines(L41_254_10, M42_254_10)
% 293.42/42.85
% 293.42/42.85 [26229] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [26295] ~(left_apart_point(A39_2318_9, L40_2318_9) | left_apart_point(A39_2318_9, reverse_line(L40_2318_9)))
% 293.42/42.85
% 293.42/42.85 [26295] ALPHA_NOT_OR : ~(left_apart_point(A39_2318_9, L40_2318_9) | left_apart_point(A39_2318_9, reverse_line(L40_2318_9)))
% 293.42/42.85 -> [26299] ~left_apart_point(A39_2318_9, L40_2318_9), ~left_apart_point(A39_2318_9, reverse_line(L40_2318_9))
% 293.42/42.85
% 293.42/42.85 [26299] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.85 -> [26401] ~(left_convergent_lines(L41_255_10, M42_255_10) | left_convergent_lines(L41_255_10, reverse_line(M42_255_10)))
% 293.42/42.85
% 293.42/42.85 [26401] ALPHA_NOT_OR : ~(left_convergent_lines(L41_255_10, M42_255_10) | left_convergent_lines(L41_255_10, reverse_line(M42_255_10)))
% 293.42/42.85 -> [26403] ~left_convergent_lines(L41_255_10, M42_255_10), ~left_convergent_lines(L41_255_10, reverse_line(M42_255_10))
% 293.42/42.85
% 293.42/42.85 [26403] CLOSURE : ~left_convergent_lines(L41_255_10, M42_255_10)
% 293.42/42.85
% 293.42/42.85 [26226] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_1160_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1160_8)))
% 293.42/42.85 -> [26245] ~unequally_directed_lines(skolem_M7878, M38_1160_8)
% 293.42/42.85 -> [26246] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_1160_8))
% 293.42/42.85
% 293.42/42.85 [26245] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_1160_8)
% 293.42/42.85
% 293.42/42.85 [26246] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_1160_8))
% 293.42/42.85
% 293.42/42.85 [26186] BETA_NOT_AND : ~(line(skolem_N7979) & line(skolem_N7979))
% 293.42/42.85 -> [26198] ~line(skolem_N7979)
% 293.42/42.85 -> [26199] ~line(skolem_N7979)
% 293.42/42.85
% 293.42/42.85 [26198] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [26232] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.85
% 293.42/42.85 [26232] 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))))
% 293.42/42.85 -> [26235] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [26236] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85
% 293.42/42.85 [26236] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [26239] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85 -> [26240] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [26239] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [26257] ~(left_apart_point(A39_2314_9, L40_2314_9) | left_apart_point(A39_2314_9, reverse_line(L40_2314_9)))
% 293.42/42.85
% 293.42/42.85 [26257] ALPHA_NOT_OR : ~(left_apart_point(A39_2314_9, L40_2314_9) | left_apart_point(A39_2314_9, reverse_line(L40_2314_9)))
% 293.42/42.85 -> [26258] ~left_apart_point(A39_2314_9, L40_2314_9), ~left_apart_point(A39_2314_9, reverse_line(L40_2314_9))
% 293.42/42.85
% 293.42/42.85 [26258] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.85 -> [26263] ~(left_convergent_lines(L41_251_10, M42_251_10) | left_convergent_lines(L41_251_10, reverse_line(M42_251_10)))
% 293.42/42.85
% 293.42/42.85 [26263] ALPHA_NOT_OR : ~(left_convergent_lines(L41_251_10, M42_251_10) | left_convergent_lines(L41_251_10, reverse_line(M42_251_10)))
% 293.42/42.85 -> [26264] ~left_convergent_lines(L41_251_10, M42_251_10), ~left_convergent_lines(L41_251_10, reverse_line(M42_251_10))
% 293.42/42.85
% 293.42/42.85 [26264] CLOSURE : ~left_convergent_lines(L41_251_10, M42_251_10)
% 293.42/42.85
% 293.42/42.85 [26240] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [26267] ~(left_apart_point(A39_2315_9, L40_2315_9) | left_apart_point(A39_2315_9, reverse_line(L40_2315_9)))
% 293.42/42.85
% 293.42/42.85 [26267] ALPHA_NOT_OR : ~(left_apart_point(A39_2315_9, L40_2315_9) | left_apart_point(A39_2315_9, reverse_line(L40_2315_9)))
% 293.42/42.85 -> [26268] ~left_apart_point(A39_2315_9, L40_2315_9), ~left_apart_point(A39_2315_9, reverse_line(L40_2315_9))
% 293.42/42.85
% 293.42/42.85 [26268] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.85 -> [26269] ~(left_convergent_lines(L41_253_10, M42_253_10) | left_convergent_lines(L41_253_10, reverse_line(M42_253_10)))
% 293.42/42.85
% 293.42/42.85 [26269] ALPHA_NOT_OR : ~(left_convergent_lines(L41_253_10, M42_253_10) | left_convergent_lines(L41_253_10, reverse_line(M42_253_10)))
% 293.42/42.85 -> [26270] ~left_convergent_lines(L41_253_10, M42_253_10), ~left_convergent_lines(L41_253_10, reverse_line(M42_253_10))
% 293.42/42.85
% 293.42/42.85 [26270] CLOSURE : ~left_convergent_lines(L41_253_10, M42_253_10)
% 293.42/42.85
% 293.42/42.85 [26235] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [26247] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85 -> [26248] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [26247] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [26248] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [26199] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [26216] ((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))))
% 293.42/42.85
% 293.42/42.85 [26216] 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))))
% 293.42/42.85 -> [26219] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85 -> [26220] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85
% 293.42/42.85 [26219] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85 -> [26243] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.85 -> [26244] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [26244] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [26243] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.85
% 293.42/42.85 [26220] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85 -> [26221] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.85 -> [26222] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [26222] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [26253] ~(left_apart_point(A39_2313_9, L40_2313_9) | left_apart_point(A39_2313_9, reverse_line(L40_2313_9)))
% 293.42/42.85
% 293.42/42.85 [26253] ALPHA_NOT_OR : ~(left_apart_point(A39_2313_9, L40_2313_9) | left_apart_point(A39_2313_9, reverse_line(L40_2313_9)))
% 293.42/42.85 -> [26256] ~left_apart_point(A39_2313_9, L40_2313_9), ~left_apart_point(A39_2313_9, reverse_line(L40_2313_9))
% 293.42/42.85
% 293.42/42.85 [26256] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.85 -> [26265] ~(left_convergent_lines(L41_252_10, M42_252_10) | left_convergent_lines(L41_252_10, reverse_line(M42_252_10)))
% 293.42/42.85
% 293.42/42.85 [26265] ALPHA_NOT_OR : ~(left_convergent_lines(L41_252_10, M42_252_10) | left_convergent_lines(L41_252_10, reverse_line(M42_252_10)))
% 293.42/42.85 -> [26266] ~left_convergent_lines(L41_252_10, M42_252_10), ~left_convergent_lines(L41_252_10, reverse_line(M42_252_10))
% 293.42/42.85
% 293.42/42.85 [26266] CLOSURE : ~left_convergent_lines(L41_252_10, M42_252_10)
% 293.42/42.85
% 293.42/42.85 [26221] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [26466] ~(left_apart_point(A39_2339_9, L40_2339_9) | left_apart_point(A39_2339_9, reverse_line(L40_2339_9)))
% 293.42/42.85
% 293.42/42.85 [26466] ALPHA_NOT_OR : ~(left_apart_point(A39_2339_9, L40_2339_9) | left_apart_point(A39_2339_9, reverse_line(L40_2339_9)))
% 293.42/42.85 -> [26467] ~left_apart_point(A39_2339_9, L40_2339_9), ~left_apart_point(A39_2339_9, reverse_line(L40_2339_9))
% 293.42/42.85
% 293.42/42.85 [26467] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.85 -> [26474] ~(left_convergent_lines(L41_256_10, M42_256_10) | left_convergent_lines(L41_256_10, reverse_line(M42_256_10)))
% 293.42/42.85
% 293.42/42.85 [26474] ALPHA_NOT_OR : ~(left_convergent_lines(L41_256_10, M42_256_10) | left_convergent_lines(L41_256_10, reverse_line(M42_256_10)))
% 293.42/42.85 -> [26476] ~left_convergent_lines(L41_256_10, M42_256_10), ~left_convergent_lines(L41_256_10, reverse_line(M42_256_10))
% 293.42/42.85
% 293.42/42.85 [26476] CLOSURE : ~left_convergent_lines(L41_256_10, M42_256_10)
% 293.42/42.85
% 293.42/42.85 [150] BETA_NOT_AND : ~(((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))) & ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.85 -> [164] ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.42/42.85 -> [165] ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.85
% 293.42/42.85 [165] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.85 -> [171] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.85
% 293.42/42.85 [171] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.85 -> [1687] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.42/42.85 -> [1688] ~~(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)))
% 293.42/42.85
% 293.42/42.85 [1688] 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)))
% 293.42/42.85 -> [1690] (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)))
% 293.42/42.85
% 293.42/42.85 [1690] 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)))
% 293.42/42.85 -> [1696] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 293.42/42.85 -> [1697] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [1696] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.85 -> [3099] ~distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.85
% 293.42/42.85 [3099] 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))))
% 293.42/42.85 -> [3127] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.85
% 293.42/42.85 [3127] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.85 -> [3128] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.85 -> [3129] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.85
% 293.42/42.85 [3128] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.85
% 293.42/42.85 [3129] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.85 -> [3533] distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.85 -> [3534] distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.85
% 293.42/42.85 [3534] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.85
% 293.42/42.85 [3533] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.85 -> [3811] ~distinct_lines(N27_78_3, N27_78_3)
% 293.42/42.85
% 293.42/42.85 [3811] 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))))
% 293.42/42.85 -> [3841] (distinct_lines(N27_78_3, N27_78_3) => (distinct_lines(N27_78_3, N27_78_3) | distinct_lines(N27_78_3, N27_78_3)))
% 293.42/42.85
% 293.42/42.85 [3841] 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)))
% 293.42/42.85 -> [3842] ~distinct_lines(N27_78_3, N27_78_3)
% 293.42/42.85 -> [3843] (distinct_lines(N27_78_3, N27_78_3) | distinct_lines(N27_78_3, N27_78_3))
% 293.42/42.85
% 293.42/42.85 [3843] BETA_OR : (distinct_lines(N27_78_3, N27_78_3) | distinct_lines(N27_78_3, N27_78_3))
% 293.42/42.85 -> [3846] distinct_lines(N27_78_3, N27_78_3)
% 293.42/42.85 -> [3847] distinct_lines(N27_78_3, N27_78_3)
% 293.42/42.85
% 293.42/42.85 [3847] CLOSURE : distinct_lines(N27_78_3, N27_78_3)
% 293.42/42.85
% 293.42/42.85 [3846] CLOSURE : distinct_lines(N27_78_3, N27_78_3)
% 293.42/42.85
% 293.42/42.85 [3842] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.85 -> [3877] ~unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.85
% 293.42/42.85 [3877] 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))))
% 293.42/42.85 -> [4035] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.85
% 293.42/42.85 [4035] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.85 -> [4039] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.85 -> [4040] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.85
% 293.42/42.85 [4039] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.85
% 293.42/42.85 [4040] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.85 -> [4703] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.85 -> [4704] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.85
% 293.42/42.85 [4704] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.85
% 293.42/42.85 [4703] 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))))))
% 293.42/42.85 -> [4911] ((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)))))
% 293.42/42.85
% 293.42/42.85 [4911] 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)))))
% 293.42/42.85 -> [4914] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85 -> [4915] ((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))))
% 293.42/42.85
% 293.42/42.85 [4914] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85 -> [4934] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.85 -> [4935] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [4935] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [4934] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.85
% 293.42/42.85 [4915] 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))))
% 293.42/42.85 -> [7228] (unequally_directed_lines(skolem_M7878, N34_21_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_21_6)))
% 293.42/42.85 -> [7229] (unequally_directed_lines(skolem_N7979, N34_21_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_21_6)))
% 293.42/42.85
% 293.42/42.85 [7228] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_21_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_21_6)))
% 293.42/42.85 -> [7245] unequally_directed_lines(skolem_M7878, N34_21_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_21_6))
% 293.42/42.85
% 293.42/42.85 [7245] 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)))))
% 293.42/42.85 -> [7575] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.85
% 293.42/42.85 [7575] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.85 -> [7577] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.85 -> [7578] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.85
% 293.42/42.85 [7577] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.85 -> [7659] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.85 -> [7660] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.85
% 293.42/42.85 [7659] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [7908] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.85
% 293.42/42.85 [7908] 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))))
% 293.42/42.85 -> [7911] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [7912] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85
% 293.42/42.85 [7912] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [7916] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85 -> [7917] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [7917] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [7995] ~(left_apart_point(A39_142_9, L40_142_9) | left_apart_point(A39_142_9, reverse_line(L40_142_9)))
% 293.42/42.85
% 293.42/42.85 [7995] ALPHA_NOT_OR : ~(left_apart_point(A39_142_9, L40_142_9) | left_apart_point(A39_142_9, reverse_line(L40_142_9)))
% 293.42/42.85 -> [7998] ~left_apart_point(A39_142_9, L40_142_9), ~left_apart_point(A39_142_9, reverse_line(L40_142_9))
% 293.42/42.85
% 293.42/42.85 [7998] CLOSURE : ~left_apart_point(A39_142_9, L40_142_9)
% 293.42/42.85
% 293.42/42.85 [7916] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [8017] ~(left_apart_point(A39_143_9, L40_143_9) | left_apart_point(A39_143_9, reverse_line(L40_143_9)))
% 293.42/42.85
% 293.42/42.85 [8017] ALPHA_NOT_OR : ~(left_apart_point(A39_143_9, L40_143_9) | left_apart_point(A39_143_9, reverse_line(L40_143_9)))
% 293.42/42.85 -> [8019] ~left_apart_point(A39_143_9, L40_143_9), ~left_apart_point(A39_143_9, reverse_line(L40_143_9))
% 293.42/42.85
% 293.42/42.85 [8019] CLOSURE : ~left_apart_point(A39_143_9, L40_143_9)
% 293.42/42.85
% 293.42/42.85 [7911] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [7943] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85 -> [7944] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [7944] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [7943] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [7660] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [7849] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.85
% 293.42/42.85 [7849] 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))))
% 293.42/42.85 -> [7850] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [7851] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85
% 293.42/42.85 [7851] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [7852] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85 -> [7853] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [7852] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [8227] ~(left_apart_point(A39_152_9, L40_152_9) | left_apart_point(A39_152_9, reverse_line(L40_152_9)))
% 293.42/42.85
% 293.42/42.85 [8227] ALPHA_NOT_OR : ~(left_apart_point(A39_152_9, L40_152_9) | left_apart_point(A39_152_9, reverse_line(L40_152_9)))
% 293.42/42.85 -> [8228] ~left_apart_point(A39_152_9, L40_152_9), ~left_apart_point(A39_152_9, reverse_line(L40_152_9))
% 293.42/42.85
% 293.42/42.85 [8228] CLOSURE : ~left_apart_point(A39_152_9, L40_152_9)
% 293.42/42.85
% 293.42/42.85 [7853] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [8295] ~(left_apart_point(A39_153_9, L40_153_9) | left_apart_point(A39_153_9, reverse_line(L40_153_9)))
% 293.42/42.85
% 293.42/42.85 [8295] ALPHA_NOT_OR : ~(left_apart_point(A39_153_9, L40_153_9) | left_apart_point(A39_153_9, reverse_line(L40_153_9)))
% 293.42/42.85 -> [8298] ~left_apart_point(A39_153_9, L40_153_9), ~left_apart_point(A39_153_9, reverse_line(L40_153_9))
% 293.42/42.85
% 293.42/42.85 [8298] CLOSURE : ~left_apart_point(A39_153_9, L40_153_9)
% 293.42/42.85
% 293.42/42.85 [7850] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [7958] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85 -> [7959] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [7959] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [7958] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [7578] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.85 -> [7581] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.85 -> [7582] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.85
% 293.42/42.85 [7581] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.85
% 293.42/42.85 [7582] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [7854] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.85
% 293.42/42.85 [7854] 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))))
% 293.42/42.85 -> [7855] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [7856] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85
% 293.42/42.85 [7856] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [7859] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85 -> [7860] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [7859] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [8477] ~(left_apart_point(A39_157_9, L40_157_9) | left_apart_point(A39_157_9, reverse_line(L40_157_9)))
% 293.42/42.85
% 293.42/42.85 [8477] ALPHA_NOT_OR : ~(left_apart_point(A39_157_9, L40_157_9) | left_apart_point(A39_157_9, reverse_line(L40_157_9)))
% 293.42/42.85 -> [8479] ~left_apart_point(A39_157_9, L40_157_9), ~left_apart_point(A39_157_9, reverse_line(L40_157_9))
% 293.42/42.85
% 293.42/42.85 [8479] CLOSURE : ~left_apart_point(A39_157_9, L40_157_9)
% 293.42/42.85
% 293.42/42.85 [7860] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [8534] ~(left_apart_point(A39_162_9, L40_162_9) | left_apart_point(A39_162_9, reverse_line(L40_162_9)))
% 293.42/42.85
% 293.42/42.85 [8534] ALPHA_NOT_OR : ~(left_apart_point(A39_162_9, L40_162_9) | left_apart_point(A39_162_9, reverse_line(L40_162_9)))
% 293.42/42.85 -> [8537] ~left_apart_point(A39_162_9, L40_162_9), ~left_apart_point(A39_162_9, reverse_line(L40_162_9))
% 293.42/42.85
% 293.42/42.85 [8537] CLOSURE : ~left_apart_point(A39_162_9, L40_162_9)
% 293.42/42.85
% 293.42/42.85 [7855] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [8199] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85 -> [8200] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [8200] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [8199] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [7229] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_21_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_21_6)))
% 293.42/42.85 -> [7234] unequally_directed_lines(skolem_N7979, N34_21_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_21_6))
% 293.42/42.85
% 293.42/42.85 [7234] 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)))))
% 293.42/42.85 -> [7501] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.85
% 293.42/42.85 [7501] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.85 -> [7502] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.85 -> [7503] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.85
% 293.42/42.85 [7503] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.85 -> [7506] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.85 -> [7507] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.85
% 293.42/42.85 [7506] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.85
% 293.42/42.85 [7507] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [7737] ((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))))
% 293.42/42.85
% 293.42/42.85 [7737] 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))))
% 293.42/42.85 -> [7738] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85 -> [7739] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85
% 293.42/42.85 [7739] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85 -> [7741] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.85 -> [7742] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [7742] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [7863] ~(left_apart_point(A39_135_9, L40_135_9) | left_apart_point(A39_135_9, reverse_line(L40_135_9)))
% 293.42/42.85
% 293.42/42.85 [7863] ALPHA_NOT_OR : ~(left_apart_point(A39_135_9, L40_135_9) | left_apart_point(A39_135_9, reverse_line(L40_135_9)))
% 293.42/42.85 -> [7864] ~left_apart_point(A39_135_9, L40_135_9), ~left_apart_point(A39_135_9, reverse_line(L40_135_9))
% 293.42/42.85
% 293.42/42.85 [7864] CLOSURE : ~left_apart_point(A39_135_9, L40_135_9)
% 293.42/42.85
% 293.42/42.85 [7741] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [7906] ~(left_apart_point(A39_140_9, L40_140_9) | left_apart_point(A39_140_9, reverse_line(L40_140_9)))
% 293.42/42.85
% 293.42/42.85 [7906] ALPHA_NOT_OR : ~(left_apart_point(A39_140_9, L40_140_9) | left_apart_point(A39_140_9, reverse_line(L40_140_9)))
% 293.42/42.85 -> [7907] ~left_apart_point(A39_140_9, L40_140_9), ~left_apart_point(A39_140_9, reverse_line(L40_140_9))
% 293.42/42.85
% 293.42/42.85 [7907] CLOSURE : ~left_apart_point(A39_140_9, L40_140_9)
% 293.42/42.85
% 293.42/42.85 [7738] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85 -> [7789] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.85 -> [7790] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [7790] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [7789] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.85
% 293.42/42.85 [7502] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.85 -> [7526] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.85 -> [7527] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.85
% 293.42/42.85 [7527] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [7716] ((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))))
% 293.42/42.85
% 293.42/42.85 [7716] 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))))
% 293.42/42.85 -> [7720] ~(unequally_directed_lines(skolem_N7979, M38_69_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_69_8)))
% 293.42/42.85 -> [7721] (left_convergent_lines(skolem_N7979, M38_69_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_69_8)))
% 293.42/42.85
% 293.42/42.85 [7721] BETA_OR : (left_convergent_lines(skolem_N7979, M38_69_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_69_8)))
% 293.42/42.85 -> [7728] left_convergent_lines(skolem_N7979, M38_69_8)
% 293.42/42.85 -> [7729] left_convergent_lines(skolem_N7979, reverse_line(M38_69_8))
% 293.42/42.85
% 293.42/42.85 [7729] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [7857] ~(left_apart_point(A39_133_9, L40_133_9) | left_apart_point(A39_133_9, reverse_line(L40_133_9)))
% 293.42/42.85
% 293.42/42.85 [7857] ALPHA_NOT_OR : ~(left_apart_point(A39_133_9, L40_133_9) | left_apart_point(A39_133_9, reverse_line(L40_133_9)))
% 293.42/42.85 -> [7858] ~left_apart_point(A39_133_9, L40_133_9), ~left_apart_point(A39_133_9, reverse_line(L40_133_9))
% 293.42/42.85
% 293.42/42.85 [7858] CLOSURE : ~left_apart_point(A39_133_9, L40_133_9)
% 293.42/42.85
% 293.42/42.85 [7728] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [7902] ~(left_apart_point(A39_139_9, L40_139_9) | left_apart_point(A39_139_9, reverse_line(L40_139_9)))
% 293.42/42.85
% 293.42/42.85 [7902] ALPHA_NOT_OR : ~(left_apart_point(A39_139_9, L40_139_9) | left_apart_point(A39_139_9, reverse_line(L40_139_9)))
% 293.42/42.85 -> [7903] ~left_apart_point(A39_139_9, L40_139_9), ~left_apart_point(A39_139_9, reverse_line(L40_139_9))
% 293.42/42.85
% 293.42/42.85 [7903] CLOSURE : ~left_apart_point(A39_139_9, L40_139_9)
% 293.42/42.85
% 293.42/42.85 [7720] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_69_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_69_8)))
% 293.42/42.85 -> [7787] ~unequally_directed_lines(skolem_N7979, M38_69_8)
% 293.42/42.85 -> [7788] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_69_8))
% 293.42/42.85
% 293.42/42.85 [7788] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_69_8))
% 293.42/42.85
% 293.42/42.85 [7787] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_69_8)
% 293.42/42.85
% 293.42/42.85 [7526] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [7776] ((unequally_directed_lines(skolem_N7979, M38_72_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_72_8))) => (left_convergent_lines(skolem_N7979, M38_72_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_72_8))))
% 293.42/42.85
% 293.42/42.85 [7776] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_72_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_72_8))) => (left_convergent_lines(skolem_N7979, M38_72_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_72_8))))
% 293.42/42.85 -> [7781] ~(unequally_directed_lines(skolem_N7979, M38_72_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_72_8)))
% 293.42/42.85 -> [7782] (left_convergent_lines(skolem_N7979, M38_72_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_72_8)))
% 293.42/42.85
% 293.42/42.85 [7782] BETA_OR : (left_convergent_lines(skolem_N7979, M38_72_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_72_8)))
% 293.42/42.85 -> [7783] left_convergent_lines(skolem_N7979, M38_72_8)
% 293.42/42.85 -> [7784] left_convergent_lines(skolem_N7979, reverse_line(M38_72_8))
% 293.42/42.85
% 293.42/42.85 [7784] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [7889] ~(left_apart_point(A39_138_9, L40_138_9) | left_apart_point(A39_138_9, reverse_line(L40_138_9)))
% 293.42/42.85
% 293.42/42.85 [7889] ALPHA_NOT_OR : ~(left_apart_point(A39_138_9, L40_138_9) | left_apart_point(A39_138_9, reverse_line(L40_138_9)))
% 293.42/42.85 -> [7892] ~left_apart_point(A39_138_9, L40_138_9), ~left_apart_point(A39_138_9, reverse_line(L40_138_9))
% 293.42/42.85
% 293.42/42.85 [7892] CLOSURE : ~left_apart_point(A39_138_9, L40_138_9)
% 293.42/42.85
% 293.42/42.85 [7783] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [7922] ~(left_apart_point(A39_141_9, L40_141_9) | left_apart_point(A39_141_9, reverse_line(L40_141_9)))
% 293.42/42.85
% 293.42/42.85 [7922] ALPHA_NOT_OR : ~(left_apart_point(A39_141_9, L40_141_9) | left_apart_point(A39_141_9, reverse_line(L40_141_9)))
% 293.42/42.85 -> [7923] ~left_apart_point(A39_141_9, L40_141_9), ~left_apart_point(A39_141_9, reverse_line(L40_141_9))
% 293.42/42.85
% 293.42/42.85 [7923] CLOSURE : ~left_apart_point(A39_141_9, L40_141_9)
% 293.42/42.85
% 293.42/42.85 [7781] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_72_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_72_8)))
% 293.42/42.85 -> [7807] ~unequally_directed_lines(skolem_N7979, M38_72_8)
% 293.42/42.85 -> [7808] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_72_8))
% 293.42/42.85
% 293.42/42.85 [7807] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_72_8)
% 293.42/42.85
% 293.42/42.85 [7808] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_72_8))
% 293.42/42.85
% 293.42/42.85 [1697] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.85 -> [2961] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.85
% 293.42/42.85 [2961] 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))))
% 293.42/42.85 -> [3020] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.85
% 293.42/42.85 [3020] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.85 -> [3021] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.85 -> [3022] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.85
% 293.42/42.85 [3021] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.85
% 293.42/42.85 [3022] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.85 -> [3370] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.85 -> [3371] distinct_points(skolem_C8282, skolem_B8181)
% 293.42/42.85
% 293.42/42.85 [3370] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.85
% 293.42/42.85 [3371] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.85 -> [3530] ~distinct_lines(N27_62_3, N27_62_3)
% 293.42/42.85
% 293.42/42.85 [3530] 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))))
% 293.42/42.85 -> [3573] (distinct_lines(N27_62_3, N27_62_3) => (distinct_lines(N27_62_3, N27_62_3) | distinct_lines(N27_62_3, N27_62_3)))
% 293.42/42.85
% 293.42/42.85 [3573] 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)))
% 293.42/42.85 -> [3575] ~distinct_lines(N27_62_3, N27_62_3)
% 293.42/42.85 -> [3576] (distinct_lines(N27_62_3, N27_62_3) | distinct_lines(N27_62_3, N27_62_3))
% 293.42/42.85
% 293.42/42.85 [3576] BETA_OR : (distinct_lines(N27_62_3, N27_62_3) | distinct_lines(N27_62_3, N27_62_3))
% 293.42/42.85 -> [3579] distinct_lines(N27_62_3, N27_62_3)
% 293.42/42.85 -> [3580] distinct_lines(N27_62_3, N27_62_3)
% 293.42/42.85
% 293.42/42.85 [3580] CLOSURE : distinct_lines(N27_62_3, N27_62_3)
% 293.42/42.85
% 293.42/42.85 [3579] CLOSURE : distinct_lines(N27_62_3, N27_62_3)
% 293.42/42.85
% 293.42/42.85 [3575] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.85 -> [3621] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [3621] 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))))
% 293.42/42.85 -> [3681] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878)))
% 293.42/42.85
% 293.42/42.85 [3681] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878)))
% 293.42/42.85 -> [3682] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.85 -> [3683] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [3682] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.85
% 293.42/42.85 [3683] 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)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878))
% 293.42/42.85 -> [6496] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.85 -> [6497] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [6496] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [6497] 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))))))
% 293.42/42.85 -> [8917] ((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)))))
% 293.42/42.85
% 293.42/42.85 [8917] 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)))))
% 293.42/42.85 -> [8918] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85 -> [8919] ((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))))
% 293.42/42.85
% 293.42/42.85 [8918] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85 -> [8976] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.85 -> [8977] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [8977] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [8976] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.85
% 293.42/42.85 [8919] 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))))
% 293.42/42.85 -> [11713] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [11714] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.85
% 293.42/42.85 [11713] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [11790] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [11790] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [11714] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [11718] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [11718] 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)))))
% 293.42/42.85 -> [12303] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.85
% 293.42/42.85 [12303] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.85 -> [12304] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.85 -> [12305] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.85
% 293.42/42.85 [12304] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.85 -> [12323] ~line(skolem_M7878)
% 293.42/42.85 -> [12324] ~line(skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [12324] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [12570] ((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))))
% 293.42/42.85
% 293.42/42.85 [12570] 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))))
% 293.42/42.85 -> [12573] ~(unequally_directed_lines(skolem_N7979, M38_283_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_283_8)))
% 293.42/42.85 -> [12574] (left_convergent_lines(skolem_N7979, M38_283_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_283_8)))
% 293.42/42.85
% 293.42/42.85 [12574] BETA_OR : (left_convergent_lines(skolem_N7979, M38_283_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_283_8)))
% 293.42/42.85 -> [12577] left_convergent_lines(skolem_N7979, M38_283_8)
% 293.42/42.85 -> [12578] left_convergent_lines(skolem_N7979, reverse_line(M38_283_8))
% 293.42/42.85
% 293.42/42.85 [12578] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [12894] ~(left_apart_point(A39_568_9, L40_568_9) | left_apart_point(A39_568_9, reverse_line(L40_568_9)))
% 293.42/42.85
% 293.42/42.85 [12894] ALPHA_NOT_OR : ~(left_apart_point(A39_568_9, L40_568_9) | left_apart_point(A39_568_9, reverse_line(L40_568_9)))
% 293.42/42.85 -> [12896] ~left_apart_point(A39_568_9, L40_568_9), ~left_apart_point(A39_568_9, reverse_line(L40_568_9))
% 293.42/42.85
% 293.42/42.85 [12896] CLOSURE : ~left_apart_point(A39_568_9, L40_568_9)
% 293.42/42.85
% 293.42/42.85 [12577] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [12890] ~(left_apart_point(A39_567_9, L40_567_9) | left_apart_point(A39_567_9, reverse_line(L40_567_9)))
% 293.42/42.85
% 293.42/42.85 [12890] ALPHA_NOT_OR : ~(left_apart_point(A39_567_9, L40_567_9) | left_apart_point(A39_567_9, reverse_line(L40_567_9)))
% 293.42/42.85 -> [12892] ~left_apart_point(A39_567_9, L40_567_9), ~left_apart_point(A39_567_9, reverse_line(L40_567_9))
% 293.42/42.85
% 293.42/42.85 [12892] CLOSURE : ~left_apart_point(A39_567_9, L40_567_9)
% 293.42/42.85
% 293.42/42.85 [12573] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_283_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_283_8)))
% 293.42/42.85 -> [12667] ~unequally_directed_lines(skolem_N7979, M38_283_8)
% 293.42/42.85 -> [12668] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_283_8))
% 293.42/42.85
% 293.42/42.85 [12668] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_283_8))
% 293.42/42.85
% 293.42/42.85 [12667] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_283_8)
% 293.42/42.85
% 293.42/42.85 [12323] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [12650] ((unequally_directed_lines(skolem_N7979, M38_292_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_292_8))) => (left_convergent_lines(skolem_N7979, M38_292_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_292_8))))
% 293.42/42.85
% 293.42/42.85 [12650] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_292_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_292_8))) => (left_convergent_lines(skolem_N7979, M38_292_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_292_8))))
% 293.42/42.85 -> [12654] ~(unequally_directed_lines(skolem_N7979, M38_292_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_292_8)))
% 293.42/42.85 -> [12655] (left_convergent_lines(skolem_N7979, M38_292_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_292_8)))
% 293.42/42.85
% 293.42/42.85 [12654] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_292_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_292_8)))
% 293.42/42.85 -> [12730] ~unequally_directed_lines(skolem_N7979, M38_292_8)
% 293.42/42.85 -> [12731] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_292_8))
% 293.42/42.85
% 293.42/42.85 [12731] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_292_8))
% 293.42/42.85
% 293.42/42.85 [12730] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_292_8)
% 293.42/42.85
% 293.42/42.85 [12655] BETA_OR : (left_convergent_lines(skolem_N7979, M38_292_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_292_8)))
% 293.42/42.85 -> [12659] left_convergent_lines(skolem_N7979, M38_292_8)
% 293.42/42.85 -> [12660] left_convergent_lines(skolem_N7979, reverse_line(M38_292_8))
% 293.42/42.85
% 293.42/42.85 [12660] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [12882] ~(left_apart_point(A39_566_9, L40_566_9) | left_apart_point(A39_566_9, reverse_line(L40_566_9)))
% 293.42/42.85
% 293.42/42.85 [12882] ALPHA_NOT_OR : ~(left_apart_point(A39_566_9, L40_566_9) | left_apart_point(A39_566_9, reverse_line(L40_566_9)))
% 293.42/42.85 -> [12885] ~left_apart_point(A39_566_9, L40_566_9), ~left_apart_point(A39_566_9, reverse_line(L40_566_9))
% 293.42/42.85
% 293.42/42.85 [12885] CLOSURE : ~left_apart_point(A39_566_9, L40_566_9)
% 293.42/42.85
% 293.42/42.85 [12659] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [12954] ~(left_apart_point(A39_573_9, L40_573_9) | left_apart_point(A39_573_9, reverse_line(L40_573_9)))
% 293.42/42.85
% 293.42/42.85 [12954] ALPHA_NOT_OR : ~(left_apart_point(A39_573_9, L40_573_9) | left_apart_point(A39_573_9, reverse_line(L40_573_9)))
% 293.42/42.85 -> [12956] ~left_apart_point(A39_573_9, L40_573_9), ~left_apart_point(A39_573_9, reverse_line(L40_573_9))
% 293.42/42.85
% 293.42/42.85 [12956] CLOSURE : ~left_apart_point(A39_573_9, L40_573_9)
% 293.42/42.85
% 293.42/42.85 [12305] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [12306] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.85 -> [12307] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [12306] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [12307] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [12682] ((unequally_directed_lines(skolem_N7979, M38_294_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_294_8))) => (left_convergent_lines(skolem_N7979, M38_294_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_294_8))))
% 293.42/42.85
% 293.42/42.85 [12682] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_294_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_294_8))) => (left_convergent_lines(skolem_N7979, M38_294_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_294_8))))
% 293.42/42.85 -> [12685] ~(unequally_directed_lines(skolem_N7979, M38_294_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_294_8)))
% 293.42/42.85 -> [12686] (left_convergent_lines(skolem_N7979, M38_294_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_294_8)))
% 293.42/42.85
% 293.42/42.85 [12686] BETA_OR : (left_convergent_lines(skolem_N7979, M38_294_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_294_8)))
% 293.42/42.85 -> [12692] left_convergent_lines(skolem_N7979, M38_294_8)
% 293.42/42.85 -> [12693] left_convergent_lines(skolem_N7979, reverse_line(M38_294_8))
% 293.42/42.85
% 293.42/42.85 [12692] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [16022] ~(left_apart_point(A39_932_9, L40_932_9) | left_apart_point(A39_932_9, reverse_line(L40_932_9)))
% 293.42/42.85
% 293.42/42.85 [16022] ALPHA_NOT_OR : ~(left_apart_point(A39_932_9, L40_932_9) | left_apart_point(A39_932_9, reverse_line(L40_932_9)))
% 293.42/42.85 -> [16033] ~left_apart_point(A39_932_9, L40_932_9), ~left_apart_point(A39_932_9, reverse_line(L40_932_9))
% 293.42/42.85
% 293.42/42.85 [16033] CLOSURE : ~left_apart_point(A39_932_9, L40_932_9)
% 293.42/42.85
% 293.42/42.85 [12693] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [16182] ~(left_apart_point(A39_933_9, L40_933_9) | left_apart_point(A39_933_9, reverse_line(L40_933_9)))
% 293.42/42.85
% 293.42/42.85 [16182] ALPHA_NOT_OR : ~(left_apart_point(A39_933_9, L40_933_9) | left_apart_point(A39_933_9, reverse_line(L40_933_9)))
% 293.42/42.85 -> [16183] ~left_apart_point(A39_933_9, L40_933_9), ~left_apart_point(A39_933_9, reverse_line(L40_933_9))
% 293.42/42.85
% 293.42/42.85 [16183] CLOSURE : ~left_apart_point(A39_933_9, L40_933_9)
% 293.42/42.85
% 293.42/42.85 [12685] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_294_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_294_8)))
% 293.42/42.85 -> [12734] ~unequally_directed_lines(skolem_N7979, M38_294_8)
% 293.42/42.85 -> [12735] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_294_8))
% 293.42/42.85
% 293.42/42.85 [12734] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_294_8)
% 293.42/42.85
% 293.42/42.85 [12735] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_294_8))
% 293.42/42.85
% 293.42/42.85 [1687] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.42/42.85 -> [1910] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))
% 293.42/42.85 -> [1911] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.85
% 293.42/42.85 [1911] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.85 -> [1917] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.85
% 293.42/42.85 [1917] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.85 -> [1919] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.42/42.85 -> [1920] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [1919] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.85 -> [3445] ~distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.85
% 293.42/42.85 [3445] 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))))
% 293.42/42.85 -> [3584] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.85
% 293.42/42.85 [3584] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.85 -> [3585] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.85 -> [3586] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.85
% 293.42/42.85 [3585] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.85
% 293.42/42.85 [3586] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.85 -> [5390] distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.85 -> [5391] distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.85
% 293.42/42.85 [5391] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.85
% 293.42/42.85 [5390] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.85 -> [5899] ~distinct_lines(N27_181_3, N27_181_3)
% 293.42/42.85
% 293.42/42.85 [5899] 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))))
% 293.42/42.85 -> [6011] (distinct_lines(N27_181_3, N27_181_3) => (distinct_lines(N27_181_3, N27_181_3) | distinct_lines(N27_181_3, N27_181_3)))
% 293.42/42.85
% 293.42/42.85 [6011] BETA_IMPLY : (distinct_lines(N27_181_3, N27_181_3) => (distinct_lines(N27_181_3, N27_181_3) | distinct_lines(N27_181_3, N27_181_3)))
% 293.42/42.85 -> [6012] ~distinct_lines(N27_181_3, N27_181_3)
% 293.42/42.85 -> [6013] (distinct_lines(N27_181_3, N27_181_3) | distinct_lines(N27_181_3, N27_181_3))
% 293.42/42.85
% 293.42/42.85 [6013] BETA_OR : (distinct_lines(N27_181_3, N27_181_3) | distinct_lines(N27_181_3, N27_181_3))
% 293.42/42.85 -> [6016] distinct_lines(N27_181_3, N27_181_3)
% 293.42/42.85 -> [6017] distinct_lines(N27_181_3, N27_181_3)
% 293.42/42.85
% 293.42/42.85 [6017] CLOSURE : distinct_lines(N27_181_3, N27_181_3)
% 293.42/42.85
% 293.42/42.85 [6016] CLOSURE : distinct_lines(N27_181_3, N27_181_3)
% 293.42/42.85
% 293.42/42.85 [6012] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.85 -> [6263] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [6263] 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))))
% 293.42/42.85 -> [6639] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878)))
% 293.42/42.85
% 293.42/42.85 [6639] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878)))
% 293.42/42.85 -> [6642] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.85 -> [6643] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [6642] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.85
% 293.42/42.85 [6643] 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)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878))
% 293.42/42.85 -> [7724] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.85 -> [7725] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [7724] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [7725] 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))))))
% 293.42/42.85 -> [10809] ((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)))))
% 293.42/42.85
% 293.42/42.85 [10809] 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)))))
% 293.42/42.85 -> [10812] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85 -> [10813] ((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))))
% 293.42/42.85
% 293.42/42.85 [10812] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85 -> [10834] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.85 -> [10835] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [10835] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [10834] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.85
% 293.42/42.85 [10813] 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))))
% 293.42/42.85 -> [13365] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [13366] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.85
% 293.42/42.85 [13365] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [13395] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [13395] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [13366] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [13376] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [13376] 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)))))
% 293.42/42.85 -> [13577] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.85
% 293.42/42.85 [13577] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.85 -> [13582] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.85 -> [13583] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.85
% 293.42/42.85 [13583] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [13589] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.85 -> [13590] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [13589] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [13590] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [13839] ((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))))
% 293.42/42.85
% 293.42/42.85 [13839] 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))))
% 293.42/42.85 -> [13885] ~(unequally_directed_lines(skolem_N7979, M38_360_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_360_8)))
% 293.42/42.85 -> [13886] (left_convergent_lines(skolem_N7979, M38_360_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_360_8)))
% 293.42/42.85
% 293.42/42.85 [13886] BETA_OR : (left_convergent_lines(skolem_N7979, M38_360_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_360_8)))
% 293.42/42.85 -> [13891] left_convergent_lines(skolem_N7979, M38_360_8)
% 293.42/42.85 -> [13892] left_convergent_lines(skolem_N7979, reverse_line(M38_360_8))
% 293.42/42.85
% 293.42/42.85 [13892] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [13999] ~(left_apart_point(A39_693_9, L40_693_9) | left_apart_point(A39_693_9, reverse_line(L40_693_9)))
% 293.42/42.85
% 293.42/42.85 [13999] ALPHA_NOT_OR : ~(left_apart_point(A39_693_9, L40_693_9) | left_apart_point(A39_693_9, reverse_line(L40_693_9)))
% 293.42/42.85 -> [14005] ~left_apart_point(A39_693_9, L40_693_9), ~left_apart_point(A39_693_9, reverse_line(L40_693_9))
% 293.42/42.85
% 293.42/42.85 [14005] CLOSURE : ~left_apart_point(A39_693_9, L40_693_9)
% 293.42/42.85
% 293.42/42.85 [13891] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [14047] ~(left_apart_point(A39_697_9, L40_697_9) | left_apart_point(A39_697_9, reverse_line(L40_697_9)))
% 293.42/42.85
% 293.42/42.85 [14047] ALPHA_NOT_OR : ~(left_apart_point(A39_697_9, L40_697_9) | left_apart_point(A39_697_9, reverse_line(L40_697_9)))
% 293.42/42.85 -> [14050] ~left_apart_point(A39_697_9, L40_697_9), ~left_apart_point(A39_697_9, reverse_line(L40_697_9))
% 293.42/42.85
% 293.42/42.85 [14050] CLOSURE : ~left_apart_point(A39_697_9, L40_697_9)
% 293.42/42.85
% 293.42/42.85 [13885] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_360_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_360_8)))
% 293.42/42.85 -> [13926] ~unequally_directed_lines(skolem_N7979, M38_360_8)
% 293.42/42.85 -> [13927] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_360_8))
% 293.42/42.85
% 293.42/42.85 [13927] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_360_8))
% 293.42/42.85
% 293.42/42.85 [13926] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_360_8)
% 293.42/42.85
% 293.42/42.85 [13582] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.85 -> [13641] ~line(skolem_M7878)
% 293.42/42.85 -> [13642] ~line(skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [13642] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [13823] ((unequally_directed_lines(skolem_N7979, M38_358_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_358_8))) => (left_convergent_lines(skolem_N7979, M38_358_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_358_8))))
% 293.42/42.85
% 293.42/42.85 [13823] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_358_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_358_8))) => (left_convergent_lines(skolem_N7979, M38_358_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_358_8))))
% 293.42/42.85 -> [13825] ~(unequally_directed_lines(skolem_N7979, M38_358_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_358_8)))
% 293.42/42.85 -> [13826] (left_convergent_lines(skolem_N7979, M38_358_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_358_8)))
% 293.42/42.85
% 293.42/42.85 [13826] BETA_OR : (left_convergent_lines(skolem_N7979, M38_358_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_358_8)))
% 293.42/42.85 -> [13832] left_convergent_lines(skolem_N7979, M38_358_8)
% 293.42/42.85 -> [13833] left_convergent_lines(skolem_N7979, reverse_line(M38_358_8))
% 293.42/42.85
% 293.42/42.85 [13833] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [14086] ~(left_apart_point(A39_700_9, L40_700_9) | left_apart_point(A39_700_9, reverse_line(L40_700_9)))
% 293.42/42.85
% 293.42/42.85 [14086] ALPHA_NOT_OR : ~(left_apart_point(A39_700_9, L40_700_9) | left_apart_point(A39_700_9, reverse_line(L40_700_9)))
% 293.42/42.85 -> [14087] ~left_apart_point(A39_700_9, L40_700_9), ~left_apart_point(A39_700_9, reverse_line(L40_700_9))
% 293.42/42.85
% 293.42/42.85 [14087] CLOSURE : ~left_apart_point(A39_700_9, L40_700_9)
% 293.42/42.85
% 293.42/42.85 [13832] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [14175] ~(left_apart_point(A39_713_9, L40_713_9) | left_apart_point(A39_713_9, reverse_line(L40_713_9)))
% 293.42/42.85
% 293.42/42.85 [14175] ALPHA_NOT_OR : ~(left_apart_point(A39_713_9, L40_713_9) | left_apart_point(A39_713_9, reverse_line(L40_713_9)))
% 293.42/42.85 -> [14179] ~left_apart_point(A39_713_9, L40_713_9), ~left_apart_point(A39_713_9, reverse_line(L40_713_9))
% 293.42/42.85
% 293.42/42.85 [14179] CLOSURE : ~left_apart_point(A39_713_9, L40_713_9)
% 293.42/42.85
% 293.42/42.85 [13825] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_358_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_358_8)))
% 293.42/42.85 -> [13878] ~unequally_directed_lines(skolem_N7979, M38_358_8)
% 293.42/42.85 -> [13879] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_358_8))
% 293.42/42.85
% 293.42/42.85 [13879] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_358_8))
% 293.42/42.85
% 293.42/42.85 [13878] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_358_8)
% 293.42/42.85
% 293.42/42.85 [13641] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [13865] ((unequally_directed_lines(skolem_N7979, M38_362_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_362_8))) => (left_convergent_lines(skolem_N7979, M38_362_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_362_8))))
% 293.42/42.85
% 293.42/42.85 [13865] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_362_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_362_8))) => (left_convergent_lines(skolem_N7979, M38_362_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_362_8))))
% 293.42/42.85 -> [13869] ~(unequally_directed_lines(skolem_N7979, M38_362_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_362_8)))
% 293.42/42.85 -> [13870] (left_convergent_lines(skolem_N7979, M38_362_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_362_8)))
% 293.42/42.85
% 293.42/42.85 [13870] BETA_OR : (left_convergent_lines(skolem_N7979, M38_362_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_362_8)))
% 293.42/42.85 -> [13874] left_convergent_lines(skolem_N7979, M38_362_8)
% 293.42/42.85 -> [13875] left_convergent_lines(skolem_N7979, reverse_line(M38_362_8))
% 293.42/42.85
% 293.42/42.85 [13875] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [14166] ~(left_apart_point(A39_711_9, L40_711_9) | left_apart_point(A39_711_9, reverse_line(L40_711_9)))
% 293.42/42.85
% 293.42/42.85 [14166] ALPHA_NOT_OR : ~(left_apart_point(A39_711_9, L40_711_9) | left_apart_point(A39_711_9, reverse_line(L40_711_9)))
% 293.42/42.85 -> [14168] ~left_apart_point(A39_711_9, L40_711_9), ~left_apart_point(A39_711_9, reverse_line(L40_711_9))
% 293.42/42.85
% 293.42/42.85 [14168] CLOSURE : ~left_apart_point(A39_711_9, L40_711_9)
% 293.42/42.85
% 293.42/42.85 [13874] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [14231] ~(left_apart_point(A39_721_9, L40_721_9) | left_apart_point(A39_721_9, reverse_line(L40_721_9)))
% 293.42/42.85
% 293.42/42.85 [14231] ALPHA_NOT_OR : ~(left_apart_point(A39_721_9, L40_721_9) | left_apart_point(A39_721_9, reverse_line(L40_721_9)))
% 293.42/42.85 -> [14232] ~left_apart_point(A39_721_9, L40_721_9), ~left_apart_point(A39_721_9, reverse_line(L40_721_9))
% 293.42/42.85
% 293.42/42.85 [14232] CLOSURE : ~left_apart_point(A39_721_9, L40_721_9)
% 293.42/42.85
% 293.42/42.85 [13869] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_362_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_362_8)))
% 293.42/42.85 -> [13941] ~unequally_directed_lines(skolem_N7979, M38_362_8)
% 293.42/42.85 -> [13942] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_362_8))
% 293.42/42.85
% 293.42/42.85 [13942] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_362_8))
% 293.42/42.85
% 293.42/42.85 [13941] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_362_8)
% 293.42/42.85
% 293.42/42.85 [1920] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.85 -> [1956] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.85
% 293.42/42.85 [1956] 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))))
% 293.42/42.85 -> [1961] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.85
% 293.42/42.85 [1961] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.85 -> [1963] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.85 -> [1964] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.85
% 293.42/42.85 [1963] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.85
% 293.42/42.85 [1964] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.85 -> [2042] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.85 -> [2043] distinct_points(skolem_C8282, skolem_B8181)
% 293.42/42.85
% 293.42/42.85 [2042] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.85
% 293.42/42.85 [2043] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.85 -> [4711] ~distinct_lines(N27_127_3, N27_127_3)
% 293.42/42.85
% 293.42/42.85 [4711] 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))))
% 293.42/42.85 -> [4832] (distinct_lines(N27_127_3, N27_127_3) => (distinct_lines(N27_127_3, N27_127_3) | distinct_lines(N27_127_3, N27_127_3)))
% 293.42/42.85
% 293.42/42.85 [4832] BETA_IMPLY : (distinct_lines(N27_127_3, N27_127_3) => (distinct_lines(N27_127_3, N27_127_3) | distinct_lines(N27_127_3, N27_127_3)))
% 293.42/42.85 -> [4833] ~distinct_lines(N27_127_3, N27_127_3)
% 293.42/42.85 -> [4834] (distinct_lines(N27_127_3, N27_127_3) | distinct_lines(N27_127_3, N27_127_3))
% 293.42/42.85
% 293.42/42.85 [4834] BETA_OR : (distinct_lines(N27_127_3, N27_127_3) | distinct_lines(N27_127_3, N27_127_3))
% 293.42/42.85 -> [4836] distinct_lines(N27_127_3, N27_127_3)
% 293.42/42.85 -> [4837] distinct_lines(N27_127_3, N27_127_3)
% 293.42/42.85
% 293.42/42.85 [4836] CLOSURE : distinct_lines(N27_127_3, N27_127_3)
% 293.42/42.85
% 293.42/42.85 [4837] CLOSURE : distinct_lines(N27_127_3, N27_127_3)
% 293.42/42.85
% 293.42/42.85 [4833] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.85 -> [4936] ~unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.85
% 293.42/42.85 [4936] 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))))
% 293.42/42.85 -> [5105] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.85
% 293.42/42.85 [5105] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.85 -> [5106] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.85 -> [5107] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.85
% 293.42/42.85 [5106] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.85
% 293.42/42.85 [5107] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.85 -> [7768] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.85 -> [7769] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.85
% 293.42/42.85 [7769] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.85
% 293.42/42.85 [7768] 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))))))
% 293.42/42.85 -> [10674] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_128_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_128_6))) | (unequally_directed_lines(skolem_N7979, N34_128_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_128_6)))))
% 293.42/42.85
% 293.42/42.85 [10674] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_128_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_128_6))) | (unequally_directed_lines(skolem_N7979, N34_128_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_128_6)))))
% 293.42/42.85 -> [10679] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85 -> [10680] ((unequally_directed_lines(skolem_M7878, N34_128_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_128_6))) | (unequally_directed_lines(skolem_N7979, N34_128_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_128_6))))
% 293.42/42.85
% 293.42/42.85 [10679] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85 -> [10701] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.85 -> [10702] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [10702] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [10701] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.85
% 293.42/42.85 [10680] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_128_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_128_6))) | (unequally_directed_lines(skolem_N7979, N34_128_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_128_6))))
% 293.42/42.85 -> [13937] (unequally_directed_lines(skolem_M7878, N34_128_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_128_6)))
% 293.42/42.85 -> [13938] (unequally_directed_lines(skolem_N7979, N34_128_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_128_6)))
% 293.42/42.85
% 293.42/42.85 [13938] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_128_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_128_6)))
% 293.42/42.85 -> [13940] unequally_directed_lines(skolem_N7979, N34_128_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_128_6))
% 293.42/42.85
% 293.42/42.85 [13940] 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)))))
% 293.42/42.85 -> [14186] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.85
% 293.42/42.85 [14186] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.85 -> [14189] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.85 -> [14190] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.85
% 293.42/42.85 [14190] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.85 -> [14194] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.85 -> [14195] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.85
% 293.42/42.85 [14194] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.85
% 293.42/42.85 [14195] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [14886] ((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))))
% 293.42/42.85
% 293.42/42.85 [14886] 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))))
% 293.42/42.85 -> [14890] ~(unequally_directed_lines(skolem_N7979, M38_425_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_425_8)))
% 293.42/42.85 -> [14891] (left_convergent_lines(skolem_N7979, M38_425_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_425_8)))
% 293.42/42.85
% 293.42/42.85 [14891] BETA_OR : (left_convergent_lines(skolem_N7979, M38_425_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_425_8)))
% 293.42/42.85 -> [14895] left_convergent_lines(skolem_N7979, M38_425_8)
% 293.42/42.85 -> [14896] left_convergent_lines(skolem_N7979, reverse_line(M38_425_8))
% 293.42/42.85
% 293.42/42.85 [14896] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [14956] ~(left_apart_point(A39_818_9, L40_818_9) | left_apart_point(A39_818_9, reverse_line(L40_818_9)))
% 293.42/42.85
% 293.42/42.85 [14956] ALPHA_NOT_OR : ~(left_apart_point(A39_818_9, L40_818_9) | left_apart_point(A39_818_9, reverse_line(L40_818_9)))
% 293.42/42.85 -> [14958] ~left_apart_point(A39_818_9, L40_818_9), ~left_apart_point(A39_818_9, reverse_line(L40_818_9))
% 293.42/42.85
% 293.42/42.85 [14958] CLOSURE : ~left_apart_point(A39_818_9, L40_818_9)
% 293.42/42.85
% 293.42/42.85 [14895] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [14965] ~(left_apart_point(A39_820_9, L40_820_9) | left_apart_point(A39_820_9, reverse_line(L40_820_9)))
% 293.42/42.85
% 293.42/42.85 [14965] ALPHA_NOT_OR : ~(left_apart_point(A39_820_9, L40_820_9) | left_apart_point(A39_820_9, reverse_line(L40_820_9)))
% 293.42/42.85 -> [14966] ~left_apart_point(A39_820_9, L40_820_9), ~left_apart_point(A39_820_9, reverse_line(L40_820_9))
% 293.42/42.85
% 293.42/42.85 [14966] CLOSURE : ~left_apart_point(A39_820_9, L40_820_9)
% 293.42/42.85
% 293.42/42.85 [14890] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_425_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_425_8)))
% 293.42/42.85 -> [14904] ~unequally_directed_lines(skolem_N7979, M38_425_8)
% 293.42/42.85 -> [14905] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_425_8))
% 293.42/42.85
% 293.42/42.85 [14905] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_425_8))
% 293.42/42.85
% 293.42/42.85 [14904] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_425_8)
% 293.42/42.85
% 293.42/42.85 [14189] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.85 -> [14242] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.85 -> [14243] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.85
% 293.42/42.85 [14242] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [14419] ((unequally_directed_lines(skolem_N7979, M38_394_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_394_8))) => (left_convergent_lines(skolem_N7979, M38_394_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_394_8))))
% 293.42/42.85
% 293.42/42.85 [14419] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_394_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_394_8))) => (left_convergent_lines(skolem_N7979, M38_394_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_394_8))))
% 293.42/42.85 -> [14420] ~(unequally_directed_lines(skolem_N7979, M38_394_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_394_8)))
% 293.42/42.85 -> [14421] (left_convergent_lines(skolem_N7979, M38_394_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_394_8)))
% 293.42/42.85
% 293.42/42.85 [14420] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_394_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_394_8)))
% 293.42/42.85 -> [14486] ~unequally_directed_lines(skolem_N7979, M38_394_8)
% 293.42/42.85 -> [14487] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_394_8))
% 293.42/42.85
% 293.42/42.85 [14487] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_394_8))
% 293.42/42.85
% 293.42/42.85 [14486] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_394_8)
% 293.42/42.85
% 293.42/42.85 [14421] BETA_OR : (left_convergent_lines(skolem_N7979, M38_394_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_394_8)))
% 293.42/42.85 -> [14424] left_convergent_lines(skolem_N7979, M38_394_8)
% 293.42/42.85 -> [14425] left_convergent_lines(skolem_N7979, reverse_line(M38_394_8))
% 293.42/42.85
% 293.42/42.85 [14425] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [14661] ~(left_apart_point(A39_767_9, L40_767_9) | left_apart_point(A39_767_9, reverse_line(L40_767_9)))
% 293.42/42.85
% 293.42/42.85 [14661] ALPHA_NOT_OR : ~(left_apart_point(A39_767_9, L40_767_9) | left_apart_point(A39_767_9, reverse_line(L40_767_9)))
% 293.42/42.85 -> [14663] ~left_apart_point(A39_767_9, L40_767_9), ~left_apart_point(A39_767_9, reverse_line(L40_767_9))
% 293.42/42.85
% 293.42/42.85 [14663] CLOSURE : ~left_apart_point(A39_767_9, L40_767_9)
% 293.42/42.85
% 293.42/42.85 [14424] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [14838] ~(left_apart_point(A39_800_9, L40_800_9) | left_apart_point(A39_800_9, reverse_line(L40_800_9)))
% 293.42/42.85
% 293.42/42.85 [14838] ALPHA_NOT_OR : ~(left_apart_point(A39_800_9, L40_800_9) | left_apart_point(A39_800_9, reverse_line(L40_800_9)))
% 293.42/42.85 -> [14839] ~left_apart_point(A39_800_9, L40_800_9), ~left_apart_point(A39_800_9, reverse_line(L40_800_9))
% 293.42/42.85
% 293.42/42.85 [14839] CLOSURE : ~left_apart_point(A39_800_9, L40_800_9)
% 293.42/42.85
% 293.42/42.85 [14243] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [14491] ((unequally_directed_lines(skolem_N7979, M38_399_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_399_8))) => (left_convergent_lines(skolem_N7979, M38_399_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_399_8))))
% 293.42/42.85
% 293.42/42.85 [14491] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_399_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_399_8))) => (left_convergent_lines(skolem_N7979, M38_399_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_399_8))))
% 293.42/42.85 -> [14494] ~(unequally_directed_lines(skolem_N7979, M38_399_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_399_8)))
% 293.42/42.85 -> [14495] (left_convergent_lines(skolem_N7979, M38_399_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_399_8)))
% 293.42/42.85
% 293.42/42.85 [14495] BETA_OR : (left_convergent_lines(skolem_N7979, M38_399_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_399_8)))
% 293.42/42.85 -> [14501] left_convergent_lines(skolem_N7979, M38_399_8)
% 293.42/42.85 -> [14502] left_convergent_lines(skolem_N7979, reverse_line(M38_399_8))
% 293.42/42.85
% 293.42/42.85 [14502] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [14741] ~(left_apart_point(A39_781_9, L40_781_9) | left_apart_point(A39_781_9, reverse_line(L40_781_9)))
% 293.42/42.85
% 293.42/42.85 [14741] ALPHA_NOT_OR : ~(left_apart_point(A39_781_9, L40_781_9) | left_apart_point(A39_781_9, reverse_line(L40_781_9)))
% 293.42/42.85 -> [14742] ~left_apart_point(A39_781_9, L40_781_9), ~left_apart_point(A39_781_9, reverse_line(L40_781_9))
% 293.42/42.85
% 293.42/42.85 [14742] CLOSURE : ~left_apart_point(A39_781_9, L40_781_9)
% 293.42/42.85
% 293.42/42.85 [14501] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [14867] ~(left_apart_point(A39_806_9, L40_806_9) | left_apart_point(A39_806_9, reverse_line(L40_806_9)))
% 293.42/42.85
% 293.42/42.85 [14867] ALPHA_NOT_OR : ~(left_apart_point(A39_806_9, L40_806_9) | left_apart_point(A39_806_9, reverse_line(L40_806_9)))
% 293.42/42.85 -> [14870] ~left_apart_point(A39_806_9, L40_806_9), ~left_apart_point(A39_806_9, reverse_line(L40_806_9))
% 293.42/42.85
% 293.42/42.85 [14870] CLOSURE : ~left_apart_point(A39_806_9, L40_806_9)
% 293.42/42.85
% 293.42/42.85 [14494] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_399_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_399_8)))
% 293.42/42.85 -> [14552] ~unequally_directed_lines(skolem_N7979, M38_399_8)
% 293.42/42.85 -> [14553] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_399_8))
% 293.42/42.85
% 293.42/42.85 [14553] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_399_8))
% 293.42/42.85
% 293.42/42.85 [14552] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_399_8)
% 293.42/42.85
% 293.42/42.85 [13937] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_128_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_128_6)))
% 293.42/42.85 -> [13945] unequally_directed_lines(skolem_M7878, N34_128_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_128_6))
% 293.42/42.85
% 293.42/42.85 [13945] 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)))))
% 293.42/42.85 -> [14234] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.85
% 293.42/42.85 [14234] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.85 -> [14238] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.85 -> [14239] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.85
% 293.42/42.85 [14238] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.85 -> [14288] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.85 -> [14289] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.85
% 293.42/42.85 [14289] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [14392] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.85
% 293.42/42.85 [14392] 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))))
% 293.42/42.85 -> [14396] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [14397] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85
% 293.42/42.85 [14397] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [14400] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85 -> [14401] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [14401] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [14635] ~(left_apart_point(A39_762_9, L40_762_9) | left_apart_point(A39_762_9, reverse_line(L40_762_9)))
% 293.42/42.85
% 293.42/42.85 [14635] ALPHA_NOT_OR : ~(left_apart_point(A39_762_9, L40_762_9) | left_apart_point(A39_762_9, reverse_line(L40_762_9)))
% 293.42/42.85 -> [14638] ~left_apart_point(A39_762_9, L40_762_9), ~left_apart_point(A39_762_9, reverse_line(L40_762_9))
% 293.42/42.85
% 293.42/42.85 [14638] CLOSURE : ~left_apart_point(A39_762_9, L40_762_9)
% 293.42/42.85
% 293.42/42.85 [14400] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [14706] ~(left_apart_point(A39_775_9, L40_775_9) | left_apart_point(A39_775_9, reverse_line(L40_775_9)))
% 293.42/42.85
% 293.42/42.85 [14706] ALPHA_NOT_OR : ~(left_apart_point(A39_775_9, L40_775_9) | left_apart_point(A39_775_9, reverse_line(L40_775_9)))
% 293.42/42.85 -> [14710] ~left_apart_point(A39_775_9, L40_775_9), ~left_apart_point(A39_775_9, reverse_line(L40_775_9))
% 293.42/42.85
% 293.42/42.85 [14710] CLOSURE : ~left_apart_point(A39_775_9, L40_775_9)
% 293.42/42.85
% 293.42/42.85 [14396] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [14462] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85 -> [14463] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [14463] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [14462] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [14288] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [14441] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.85
% 293.42/42.85 [14441] 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))))
% 293.42/42.85 -> [14444] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [14445] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85
% 293.42/42.85 [14445] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [14450] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85 -> [14451] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [14450] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [14798] ~(left_apart_point(A39_791_9, L40_791_9) | left_apart_point(A39_791_9, reverse_line(L40_791_9)))
% 293.42/42.85
% 293.42/42.85 [14798] ALPHA_NOT_OR : ~(left_apart_point(A39_791_9, L40_791_9) | left_apart_point(A39_791_9, reverse_line(L40_791_9)))
% 293.42/42.85 -> [14802] ~left_apart_point(A39_791_9, L40_791_9), ~left_apart_point(A39_791_9, reverse_line(L40_791_9))
% 293.42/42.85
% 293.42/42.85 [14802] CLOSURE : ~left_apart_point(A39_791_9, L40_791_9)
% 293.42/42.85
% 293.42/42.85 [14451] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [14812] ~(left_apart_point(A39_794_9, L40_794_9) | left_apart_point(A39_794_9, reverse_line(L40_794_9)))
% 293.42/42.85
% 293.42/42.85 [14812] ALPHA_NOT_OR : ~(left_apart_point(A39_794_9, L40_794_9) | left_apart_point(A39_794_9, reverse_line(L40_794_9)))
% 293.42/42.85 -> [14816] ~left_apart_point(A39_794_9, L40_794_9), ~left_apart_point(A39_794_9, reverse_line(L40_794_9))
% 293.42/42.85
% 293.42/42.85 [14816] CLOSURE : ~left_apart_point(A39_794_9, L40_794_9)
% 293.42/42.85
% 293.42/42.85 [14444] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [14536] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85 -> [14537] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [14537] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [14536] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [14239] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.85 -> [14240] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.85 -> [14241] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.85
% 293.42/42.85 [14240] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.85
% 293.42/42.85 [14241] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [14406] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.85
% 293.42/42.85 [14406] 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))))
% 293.42/42.85 -> [14409] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [14410] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85
% 293.42/42.85 [14410] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [14414] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85 -> [14415] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [14415] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [14649] ~(left_apart_point(A39_764_9, L40_764_9) | left_apart_point(A39_764_9, reverse_line(L40_764_9)))
% 293.42/42.85
% 293.42/42.85 [14649] ALPHA_NOT_OR : ~(left_apart_point(A39_764_9, L40_764_9) | left_apart_point(A39_764_9, reverse_line(L40_764_9)))
% 293.42/42.85 -> [14650] ~left_apart_point(A39_764_9, L40_764_9), ~left_apart_point(A39_764_9, reverse_line(L40_764_9))
% 293.42/42.85
% 293.42/42.85 [14650] CLOSURE : ~left_apart_point(A39_764_9, L40_764_9)
% 293.42/42.85
% 293.42/42.85 [14414] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [14718] ~(left_apart_point(A39_779_9, L40_779_9) | left_apart_point(A39_779_9, reverse_line(L40_779_9)))
% 293.42/42.85
% 293.42/42.85 [14718] ALPHA_NOT_OR : ~(left_apart_point(A39_779_9, L40_779_9) | left_apart_point(A39_779_9, reverse_line(L40_779_9)))
% 293.42/42.85 -> [14723] ~left_apart_point(A39_779_9, L40_779_9), ~left_apart_point(A39_779_9, reverse_line(L40_779_9))
% 293.42/42.85
% 293.42/42.85 [14723] CLOSURE : ~left_apart_point(A39_779_9, L40_779_9)
% 293.42/42.85
% 293.42/42.85 [14409] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [14480] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85 -> [14481] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [14480] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [14481] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [1910] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.85 -> [3849] ~distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.85
% 293.42/42.85 [3849] 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))))
% 293.42/42.85 -> [4099] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.85
% 293.42/42.85 [4099] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.85 -> [4100] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.85 -> [4101] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.85
% 293.42/42.85 [4100] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.85
% 293.42/42.85 [4101] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.85 -> [6763] distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.85 -> [6764] distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.85
% 293.42/42.85 [6764] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.85
% 293.42/42.85 [6763] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.85 -> [7256] ~distinct_lines(N27_242_3, N27_242_3)
% 293.42/42.85
% 293.42/42.85 [7256] 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))))
% 293.42/42.85 -> [7425] (distinct_lines(N27_242_3, N27_242_3) => (distinct_lines(N27_242_3, N27_242_3) | distinct_lines(N27_242_3, N27_242_3)))
% 293.42/42.85
% 293.42/42.85 [7425] BETA_IMPLY : (distinct_lines(N27_242_3, N27_242_3) => (distinct_lines(N27_242_3, N27_242_3) | distinct_lines(N27_242_3, N27_242_3)))
% 293.42/42.85 -> [7426] ~distinct_lines(N27_242_3, N27_242_3)
% 293.42/42.85 -> [7427] (distinct_lines(N27_242_3, N27_242_3) | distinct_lines(N27_242_3, N27_242_3))
% 293.42/42.85
% 293.42/42.85 [7427] BETA_OR : (distinct_lines(N27_242_3, N27_242_3) | distinct_lines(N27_242_3, N27_242_3))
% 293.42/42.85 -> [7428] distinct_lines(N27_242_3, N27_242_3)
% 293.42/42.85 -> [7429] distinct_lines(N27_242_3, N27_242_3)
% 293.42/42.85
% 293.42/42.85 [7428] CLOSURE : distinct_lines(N27_242_3, N27_242_3)
% 293.42/42.85
% 293.42/42.85 [7429] CLOSURE : distinct_lines(N27_242_3, N27_242_3)
% 293.42/42.85
% 293.42/42.85 [7426] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.85 -> [7644] ~unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.85
% 293.42/42.85 [7644] 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))))
% 293.42/42.85 -> [7871] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.85
% 293.42/42.85 [7871] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.85 -> [7873] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.85 -> [7874] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.85
% 293.42/42.85 [7873] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.85
% 293.42/42.85 [7874] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.85 -> [10188] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.85 -> [10189] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.85
% 293.42/42.85 [10189] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.85
% 293.42/42.85 [10188] 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))))))
% 293.42/42.85 -> [10677] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_129_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_129_6))) | (unequally_directed_lines(skolem_N7979, N34_129_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_129_6)))))
% 293.42/42.85
% 293.42/42.85 [10677] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_129_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_129_6))) | (unequally_directed_lines(skolem_N7979, N34_129_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_129_6)))))
% 293.42/42.85 -> [10681] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85 -> [10682] ((unequally_directed_lines(skolem_M7878, N34_129_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_129_6))) | (unequally_directed_lines(skolem_N7979, N34_129_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_129_6))))
% 293.42/42.85
% 293.42/42.85 [10681] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85 -> [10728] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.85 -> [10729] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [10729] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [10728] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.85
% 293.42/42.85 [10682] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_129_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_129_6))) | (unequally_directed_lines(skolem_N7979, N34_129_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_129_6))))
% 293.42/42.85 -> [16167] (unequally_directed_lines(skolem_M7878, N34_129_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_129_6)))
% 293.42/42.85 -> [16168] (unequally_directed_lines(skolem_N7979, N34_129_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_129_6)))
% 293.42/42.85
% 293.42/42.85 [16167] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_129_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_129_6)))
% 293.42/42.85 -> [16224] unequally_directed_lines(skolem_M7878, N34_129_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_129_6))
% 293.42/42.85
% 293.42/42.85 [16224] 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)))))
% 293.42/42.85 -> [16515] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.85
% 293.42/42.85 [16515] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.85 -> [16520] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.85 -> [16521] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.85
% 293.42/42.85 [16520] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.85 -> [16560] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.85 -> [16561] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.85
% 293.42/42.85 [16561] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [16833] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.85
% 293.42/42.85 [16833] 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))))
% 293.42/42.85 -> [16837] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [16838] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85
% 293.42/42.85 [16837] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [16856] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85 -> [16857] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [16857] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [16856] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [16838] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [16841] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85 -> [16842] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [16842] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [16881] ~(left_apart_point(A39_1016_9, L40_1016_9) | left_apart_point(A39_1016_9, reverse_line(L40_1016_9)))
% 293.42/42.85
% 293.42/42.85 [16881] ALPHA_NOT_OR : ~(left_apart_point(A39_1016_9, L40_1016_9) | left_apart_point(A39_1016_9, reverse_line(L40_1016_9)))
% 293.42/42.85 -> [16882] ~left_apart_point(A39_1016_9, L40_1016_9), ~left_apart_point(A39_1016_9, reverse_line(L40_1016_9))
% 293.42/42.85
% 293.42/42.85 [16882] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.85 -> [16940] ~(left_convergent_lines(L41_118_10, M42_118_10) | left_convergent_lines(L41_118_10, reverse_line(M42_118_10)))
% 293.42/42.85
% 293.42/42.85 [16940] ALPHA_NOT_OR : ~(left_convergent_lines(L41_118_10, M42_118_10) | left_convergent_lines(L41_118_10, reverse_line(M42_118_10)))
% 293.42/42.85 -> [16943] ~left_convergent_lines(L41_118_10, M42_118_10), ~left_convergent_lines(L41_118_10, reverse_line(M42_118_10))
% 293.42/42.85
% 293.42/42.85 [16943] CLOSURE : ~left_convergent_lines(L41_118_10, M42_118_10)
% 293.42/42.85
% 293.42/42.85 [16841] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [16900] ~(left_apart_point(A39_1018_9, L40_1018_9) | left_apart_point(A39_1018_9, reverse_line(L40_1018_9)))
% 293.42/42.85
% 293.42/42.85 [16900] ALPHA_NOT_OR : ~(left_apart_point(A39_1018_9, L40_1018_9) | left_apart_point(A39_1018_9, reverse_line(L40_1018_9)))
% 293.42/42.85 -> [16901] ~left_apart_point(A39_1018_9, L40_1018_9), ~left_apart_point(A39_1018_9, reverse_line(L40_1018_9))
% 293.42/42.85
% 293.42/42.85 [16901] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.85 -> [16950] ~(left_convergent_lines(L41_119_10, M42_119_10) | left_convergent_lines(L41_119_10, reverse_line(M42_119_10)))
% 293.42/42.85
% 293.42/42.85 [16950] ALPHA_NOT_OR : ~(left_convergent_lines(L41_119_10, M42_119_10) | left_convergent_lines(L41_119_10, reverse_line(M42_119_10)))
% 293.42/42.85 -> [16953] ~left_convergent_lines(L41_119_10, M42_119_10), ~left_convergent_lines(L41_119_10, reverse_line(M42_119_10))
% 293.42/42.85
% 293.42/42.85 [16953] CLOSURE : ~left_convergent_lines(L41_119_10, M42_119_10)
% 293.42/42.85
% 293.42/42.85 [16560] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [16902] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.85
% 293.42/42.85 [16902] 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))))
% 293.42/42.85 -> [16904] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [16905] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85
% 293.42/42.85 [16904] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [16965] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85 -> [16966] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [16966] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [16965] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [16905] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [16909] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85 -> [16910] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [16909] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [17501] ~(left_apart_point(A39_1104_9, L40_1104_9) | left_apart_point(A39_1104_9, reverse_line(L40_1104_9)))
% 293.42/42.85
% 293.42/42.85 [17501] ALPHA_NOT_OR : ~(left_apart_point(A39_1104_9, L40_1104_9) | left_apart_point(A39_1104_9, reverse_line(L40_1104_9)))
% 293.42/42.85 -> [17504] ~left_apart_point(A39_1104_9, L40_1104_9), ~left_apart_point(A39_1104_9, reverse_line(L40_1104_9))
% 293.42/42.85
% 293.42/42.85 [17504] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.85 -> [20877] ~(left_convergent_lines(L41_193_10, M42_193_10) | left_convergent_lines(L41_193_10, reverse_line(M42_193_10)))
% 293.42/42.85
% 293.42/42.85 [20877] ALPHA_NOT_OR : ~(left_convergent_lines(L41_193_10, M42_193_10) | left_convergent_lines(L41_193_10, reverse_line(M42_193_10)))
% 293.42/42.85 -> [20882] ~left_convergent_lines(L41_193_10, M42_193_10), ~left_convergent_lines(L41_193_10, reverse_line(M42_193_10))
% 293.42/42.85
% 293.42/42.85 [20882] CLOSURE : ~left_convergent_lines(L41_193_10, M42_193_10)
% 293.42/42.85
% 293.42/42.85 [16910] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [17261] ~(left_apart_point(A39_1063_9, L40_1063_9) | left_apart_point(A39_1063_9, reverse_line(L40_1063_9)))
% 293.42/42.85
% 293.42/42.85 [17261] ALPHA_NOT_OR : ~(left_apart_point(A39_1063_9, L40_1063_9) | left_apart_point(A39_1063_9, reverse_line(L40_1063_9)))
% 293.42/42.85 -> [17262] ~left_apart_point(A39_1063_9, L40_1063_9), ~left_apart_point(A39_1063_9, reverse_line(L40_1063_9))
% 293.42/42.85
% 293.42/42.85 [17262] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.85 -> [21470] ~(left_convergent_lines(L41_197_10, M42_197_10) | left_convergent_lines(L41_197_10, reverse_line(M42_197_10)))
% 293.42/42.85
% 293.42/42.85 [21470] ALPHA_NOT_OR : ~(left_convergent_lines(L41_197_10, M42_197_10) | left_convergent_lines(L41_197_10, reverse_line(M42_197_10)))
% 293.42/42.85 -> [21473] ~left_convergent_lines(L41_197_10, M42_197_10), ~left_convergent_lines(L41_197_10, reverse_line(M42_197_10))
% 293.42/42.85
% 293.42/42.85 [21473] CLOSURE : ~left_convergent_lines(L41_197_10, M42_197_10)
% 293.42/42.85
% 293.42/42.85 [16521] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.85 -> [16522] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.85 -> [16523] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.85
% 293.42/42.85 [16522] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.85
% 293.42/42.85 [16523] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [16821] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.85
% 293.42/42.85 [16821] 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))))
% 293.42/42.85 -> [16823] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [16824] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85
% 293.42/42.85 [16823] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [16916] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85 -> [16917] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [16917] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [16916] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [16824] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [16827] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85 -> [16828] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [16828] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [17141] ~(left_apart_point(A39_1042_9, L40_1042_9) | left_apart_point(A39_1042_9, reverse_line(L40_1042_9)))
% 293.42/42.85
% 293.42/42.85 [17141] ALPHA_NOT_OR : ~(left_apart_point(A39_1042_9, L40_1042_9) | left_apart_point(A39_1042_9, reverse_line(L40_1042_9)))
% 293.42/42.85 -> [17145] ~left_apart_point(A39_1042_9, L40_1042_9), ~left_apart_point(A39_1042_9, reverse_line(L40_1042_9))
% 293.42/42.85
% 293.42/42.85 [17145] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.85 -> [21903] ~(left_convergent_lines(L41_211_10, M42_211_10) | left_convergent_lines(L41_211_10, reverse_line(M42_211_10)))
% 293.42/42.85
% 293.42/42.85 [21903] ALPHA_NOT_OR : ~(left_convergent_lines(L41_211_10, M42_211_10) | left_convergent_lines(L41_211_10, reverse_line(M42_211_10)))
% 293.42/42.85 -> [21905] ~left_convergent_lines(L41_211_10, M42_211_10), ~left_convergent_lines(L41_211_10, reverse_line(M42_211_10))
% 293.42/42.85
% 293.42/42.85 [21905] CLOSURE : ~left_convergent_lines(L41_211_10, M42_211_10)
% 293.42/42.85
% 293.42/42.85 [16827] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [17364] ~(left_apart_point(A39_1083_9, L40_1083_9) | left_apart_point(A39_1083_9, reverse_line(L40_1083_9)))
% 293.42/42.85
% 293.42/42.85 [17364] ALPHA_NOT_OR : ~(left_apart_point(A39_1083_9, L40_1083_9) | left_apart_point(A39_1083_9, reverse_line(L40_1083_9)))
% 293.42/42.85 -> [17367] ~left_apart_point(A39_1083_9, L40_1083_9), ~left_apart_point(A39_1083_9, reverse_line(L40_1083_9))
% 293.42/42.85
% 293.42/42.85 [17367] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.85 -> [21934] ~(left_convergent_lines(L41_212_10, M42_212_10) | left_convergent_lines(L41_212_10, reverse_line(M42_212_10)))
% 293.42/42.85
% 293.42/42.85 [21934] ALPHA_NOT_OR : ~(left_convergent_lines(L41_212_10, M42_212_10) | left_convergent_lines(L41_212_10, reverse_line(M42_212_10)))
% 293.42/42.85 -> [21935] ~left_convergent_lines(L41_212_10, M42_212_10), ~left_convergent_lines(L41_212_10, reverse_line(M42_212_10))
% 293.42/42.85
% 293.42/42.85 [21935] CLOSURE : ~left_convergent_lines(L41_212_10, M42_212_10)
% 293.42/42.85
% 293.42/42.85 [16168] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_129_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_129_6)))
% 293.42/42.85 -> [16173] unequally_directed_lines(skolem_N7979, N34_129_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_129_6))
% 293.42/42.85
% 293.42/42.85 [16173] 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)))))
% 293.42/42.85 -> [16446] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.85
% 293.42/42.85 [16446] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.85 -> [16449] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.85 -> [16450] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.85
% 293.42/42.85 [16450] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.85 -> [16455] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.85 -> [16456] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.85
% 293.42/42.85 [16455] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.85
% 293.42/42.85 [16456] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [16760] ((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))))
% 293.42/42.85
% 293.42/42.85 [16760] 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))))
% 293.42/42.85 -> [16767] ~(unequally_directed_lines(skolem_N7979, M38_539_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_539_8)))
% 293.42/42.85 -> [16768] (left_convergent_lines(skolem_N7979, M38_539_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_539_8)))
% 293.42/42.85
% 293.42/42.85 [16767] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_539_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_539_8)))
% 293.42/42.85 -> [16861] ~unequally_directed_lines(skolem_N7979, M38_539_8)
% 293.42/42.85 -> [16862] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_539_8))
% 293.42/42.85
% 293.42/42.85 [16862] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_539_8))
% 293.42/42.85
% 293.42/42.85 [16861] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_539_8)
% 293.42/42.85
% 293.42/42.85 [16768] BETA_OR : (left_convergent_lines(skolem_N7979, M38_539_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_539_8)))
% 293.42/42.85 -> [16777] left_convergent_lines(skolem_N7979, M38_539_8)
% 293.42/42.85 -> [16778] left_convergent_lines(skolem_N7979, reverse_line(M38_539_8))
% 293.42/42.85
% 293.42/42.85 [16777] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [17183] ~(left_apart_point(A39_1050_9, L40_1050_9) | left_apart_point(A39_1050_9, reverse_line(L40_1050_9)))
% 293.42/42.85
% 293.42/42.85 [17183] ALPHA_NOT_OR : ~(left_apart_point(A39_1050_9, L40_1050_9) | left_apart_point(A39_1050_9, reverse_line(L40_1050_9)))
% 293.42/42.85 -> [17184] ~left_apart_point(A39_1050_9, L40_1050_9), ~left_apart_point(A39_1050_9, reverse_line(L40_1050_9))
% 293.42/42.85
% 293.42/42.85 [17184] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.85 -> [17787] ~(left_convergent_lines(L41_137_10, M42_137_10) | left_convergent_lines(L41_137_10, reverse_line(M42_137_10)))
% 293.42/42.85
% 293.42/42.85 [17787] ALPHA_NOT_OR : ~(left_convergent_lines(L41_137_10, M42_137_10) | left_convergent_lines(L41_137_10, reverse_line(M42_137_10)))
% 293.42/42.85 -> [17788] ~left_convergent_lines(L41_137_10, M42_137_10), ~left_convergent_lines(L41_137_10, reverse_line(M42_137_10))
% 293.42/42.85
% 293.42/42.85 [17788] CLOSURE : ~left_convergent_lines(L41_137_10, M42_137_10)
% 293.42/42.85
% 293.42/42.85 [16778] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [17186] ~(left_apart_point(A39_1052_9, L40_1052_9) | left_apart_point(A39_1052_9, reverse_line(L40_1052_9)))
% 293.42/42.85
% 293.42/42.85 [17186] ALPHA_NOT_OR : ~(left_apart_point(A39_1052_9, L40_1052_9) | left_apart_point(A39_1052_9, reverse_line(L40_1052_9)))
% 293.42/42.85 -> [17190] ~left_apart_point(A39_1052_9, L40_1052_9), ~left_apart_point(A39_1052_9, reverse_line(L40_1052_9))
% 293.42/42.85
% 293.42/42.85 [17190] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.85 -> [17791] ~(left_convergent_lines(L41_138_10, M42_138_10) | left_convergent_lines(L41_138_10, reverse_line(M42_138_10)))
% 293.42/42.85
% 293.42/42.85 [17791] ALPHA_NOT_OR : ~(left_convergent_lines(L41_138_10, M42_138_10) | left_convergent_lines(L41_138_10, reverse_line(M42_138_10)))
% 293.42/42.85 -> [17793] ~left_convergent_lines(L41_138_10, M42_138_10), ~left_convergent_lines(L41_138_10, reverse_line(M42_138_10))
% 293.42/42.85
% 293.42/42.85 [17793] CLOSURE : ~left_convergent_lines(L41_138_10, M42_138_10)
% 293.42/42.85
% 293.42/42.85 [16449] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.85 -> [16529] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.85 -> [16530] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.85
% 293.42/42.85 [16530] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [16741] ((unequally_directed_lines(skolem_N7979, M38_536_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_536_8))) => (left_convergent_lines(skolem_N7979, M38_536_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_536_8))))
% 293.42/42.85
% 293.42/42.85 [16741] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_536_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_536_8))) => (left_convergent_lines(skolem_N7979, M38_536_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_536_8))))
% 293.42/42.85 -> [16744] ~(unequally_directed_lines(skolem_N7979, M38_536_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_536_8)))
% 293.42/42.85 -> [16745] (left_convergent_lines(skolem_N7979, M38_536_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_536_8)))
% 293.42/42.85
% 293.42/42.85 [16744] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_536_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_536_8)))
% 293.42/42.85 -> [16848] ~unequally_directed_lines(skolem_N7979, M38_536_8)
% 293.42/42.85 -> [16849] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_536_8))
% 293.42/42.85
% 293.42/42.85 [16849] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_536_8))
% 293.42/42.85
% 293.42/42.85 [16848] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_536_8)
% 293.42/42.85
% 293.42/42.85 [16745] BETA_OR : (left_convergent_lines(skolem_N7979, M38_536_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_536_8)))
% 293.42/42.85 -> [16750] left_convergent_lines(skolem_N7979, M38_536_8)
% 293.42/42.85 -> [16751] left_convergent_lines(skolem_N7979, reverse_line(M38_536_8))
% 293.42/42.85
% 293.42/42.85 [16751] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [17081] ~(left_apart_point(A39_1034_9, L40_1034_9) | left_apart_point(A39_1034_9, reverse_line(L40_1034_9)))
% 293.42/42.85
% 293.42/42.85 [17081] ALPHA_NOT_OR : ~(left_apart_point(A39_1034_9, L40_1034_9) | left_apart_point(A39_1034_9, reverse_line(L40_1034_9)))
% 293.42/42.85 -> [17083] ~left_apart_point(A39_1034_9, L40_1034_9), ~left_apart_point(A39_1034_9, reverse_line(L40_1034_9))
% 293.42/42.85
% 293.42/42.85 [17083] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.85 -> [17204] ~(left_convergent_lines(L41_123_10, M42_123_10) | left_convergent_lines(L41_123_10, reverse_line(M42_123_10)))
% 293.42/42.85
% 293.42/42.85 [17204] ALPHA_NOT_OR : ~(left_convergent_lines(L41_123_10, M42_123_10) | left_convergent_lines(L41_123_10, reverse_line(M42_123_10)))
% 293.42/42.85 -> [17207] ~left_convergent_lines(L41_123_10, M42_123_10), ~left_convergent_lines(L41_123_10, reverse_line(M42_123_10))
% 293.42/42.85
% 293.42/42.85 [17207] CLOSURE : ~left_convergent_lines(L41_123_10, M42_123_10)
% 293.42/42.85
% 293.42/42.85 [16750] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [17173] ~(left_apart_point(A39_1048_9, L40_1048_9) | left_apart_point(A39_1048_9, reverse_line(L40_1048_9)))
% 293.42/42.85
% 293.42/42.85 [17173] ALPHA_NOT_OR : ~(left_apart_point(A39_1048_9, L40_1048_9) | left_apart_point(A39_1048_9, reverse_line(L40_1048_9)))
% 293.42/42.85 -> [17177] ~left_apart_point(A39_1048_9, L40_1048_9), ~left_apart_point(A39_1048_9, reverse_line(L40_1048_9))
% 293.42/42.85
% 293.42/42.85 [17177] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.85 -> [17774] ~(left_convergent_lines(L41_136_10, M42_136_10) | left_convergent_lines(L41_136_10, reverse_line(M42_136_10)))
% 293.42/42.85
% 293.42/42.85 [17774] ALPHA_NOT_OR : ~(left_convergent_lines(L41_136_10, M42_136_10) | left_convergent_lines(L41_136_10, reverse_line(M42_136_10)))
% 293.42/42.85 -> [17781] ~left_convergent_lines(L41_136_10, M42_136_10), ~left_convergent_lines(L41_136_10, reverse_line(M42_136_10))
% 293.42/42.85
% 293.42/42.85 [17781] CLOSURE : ~left_convergent_lines(L41_136_10, M42_136_10)
% 293.42/42.85
% 293.42/42.85 [16529] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [16834] ((unequally_directed_lines(skolem_N7979, M38_546_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_546_8))) => (left_convergent_lines(skolem_N7979, M38_546_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_546_8))))
% 293.42/42.85
% 293.42/42.85 [16834] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_546_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_546_8))) => (left_convergent_lines(skolem_N7979, M38_546_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_546_8))))
% 293.42/42.85 -> [16839] ~(unequally_directed_lines(skolem_N7979, M38_546_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_546_8)))
% 293.42/42.85 -> [16840] (left_convergent_lines(skolem_N7979, M38_546_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_546_8)))
% 293.42/42.85
% 293.42/42.85 [16839] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_546_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_546_8)))
% 293.42/42.85 -> [16924] ~unequally_directed_lines(skolem_N7979, M38_546_8)
% 293.42/42.85 -> [16925] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_546_8))
% 293.42/42.85
% 293.42/42.85 [16925] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_546_8))
% 293.42/42.85
% 293.42/42.85 [16924] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_546_8)
% 293.42/42.85
% 293.42/42.85 [16840] BETA_OR : (left_convergent_lines(skolem_N7979, M38_546_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_546_8)))
% 293.42/42.85 -> [16843] left_convergent_lines(skolem_N7979, M38_546_8)
% 293.42/42.85 -> [16844] left_convergent_lines(skolem_N7979, reverse_line(M38_546_8))
% 293.42/42.85
% 293.42/42.85 [16844] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [17163] ~(left_apart_point(A39_1045_9, L40_1045_9) | left_apart_point(A39_1045_9, reverse_line(L40_1045_9)))
% 293.42/42.85
% 293.42/42.85 [17163] ALPHA_NOT_OR : ~(left_apart_point(A39_1045_9, L40_1045_9) | left_apart_point(A39_1045_9, reverse_line(L40_1045_9)))
% 293.42/42.85 -> [17165] ~left_apart_point(A39_1045_9, L40_1045_9), ~left_apart_point(A39_1045_9, reverse_line(L40_1045_9))
% 293.42/42.85
% 293.42/42.85 [17165] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.85 -> [22072] ~(left_convergent_lines(L41_217_10, M42_217_10) | left_convergent_lines(L41_217_10, reverse_line(M42_217_10)))
% 293.42/42.85
% 293.42/42.85 [22072] ALPHA_NOT_OR : ~(left_convergent_lines(L41_217_10, M42_217_10) | left_convergent_lines(L41_217_10, reverse_line(M42_217_10)))
% 293.42/42.85 -> [22075] ~left_convergent_lines(L41_217_10, M42_217_10), ~left_convergent_lines(L41_217_10, reverse_line(M42_217_10))
% 293.42/42.85
% 293.42/42.85 [22075] CLOSURE : ~left_convergent_lines(L41_217_10, M42_217_10)
% 293.42/42.85
% 293.42/42.85 [16843] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [17270] ~(left_apart_point(A39_1066_9, L40_1066_9) | left_apart_point(A39_1066_9, reverse_line(L40_1066_9)))
% 293.42/42.85
% 293.42/42.85 [17270] ALPHA_NOT_OR : ~(left_apart_point(A39_1066_9, L40_1066_9) | left_apart_point(A39_1066_9, reverse_line(L40_1066_9)))
% 293.42/42.85 -> [17274] ~left_apart_point(A39_1066_9, L40_1066_9), ~left_apart_point(A39_1066_9, reverse_line(L40_1066_9))
% 293.42/42.85
% 293.42/42.85 [17274] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.85 -> [22118] ~(left_convergent_lines(L41_218_10, M42_218_10) | left_convergent_lines(L41_218_10, reverse_line(M42_218_10)))
% 293.42/42.85
% 293.42/42.85 [22118] ALPHA_NOT_OR : ~(left_convergent_lines(L41_218_10, M42_218_10) | left_convergent_lines(L41_218_10, reverse_line(M42_218_10)))
% 293.42/42.85 -> [22119] ~left_convergent_lines(L41_218_10, M42_218_10), ~left_convergent_lines(L41_218_10, reverse_line(M42_218_10))
% 293.42/42.85
% 293.42/42.85 [22119] CLOSURE : ~left_convergent_lines(L41_218_10, M42_218_10)
% 293.42/42.85
% 293.42/42.85 [164] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.85 -> [212] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.42/42.85 -> [213] ~~(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)))
% 293.42/42.85
% 293.42/42.85 [213] 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)))
% 293.42/42.85 -> [225] (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)))
% 293.42/42.85
% 293.42/42.85 [225] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.42/42.85 -> [230] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.85 -> [231] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.85
% 293.42/42.85 [230] 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)))
% 293.42/42.85 -> [364] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 293.42/42.85 -> [365] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [365] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.85 -> [1157] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))
% 293.42/42.85 -> [1158] ~~(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)))
% 293.42/42.85
% 293.42/42.85 [1157] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.85 -> [2517] ~distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.85
% 293.42/42.85 [2517] 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))))
% 293.42/42.85 -> [2530] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.85
% 293.42/42.85 [2530] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.85 -> [2532] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.85 -> [2533] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.85
% 293.42/42.85 [2532] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.85
% 293.42/42.85 [2533] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.85 -> [2653] distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.85 -> [2654] distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.85
% 293.42/42.85 [2654] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.85
% 293.42/42.85 [2653] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.85 -> [2714] ~distinct_lines(N27_30_3, N27_30_3)
% 293.42/42.85
% 293.42/42.85 [2714] 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))))
% 293.42/42.85 -> [2724] (distinct_lines(N27_30_3, N27_30_3) => (distinct_lines(N27_30_3, N27_30_3) | distinct_lines(N27_30_3, N27_30_3)))
% 293.42/42.85
% 293.42/42.85 [2724] 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)))
% 293.42/42.85 -> [2725] ~distinct_lines(N27_30_3, N27_30_3)
% 293.42/42.85 -> [2726] (distinct_lines(N27_30_3, N27_30_3) | distinct_lines(N27_30_3, N27_30_3))
% 293.42/42.85
% 293.42/42.85 [2726] BETA_OR : (distinct_lines(N27_30_3, N27_30_3) | distinct_lines(N27_30_3, N27_30_3))
% 293.42/42.85 -> [2728] distinct_lines(N27_30_3, N27_30_3)
% 293.42/42.85 -> [2729] distinct_lines(N27_30_3, N27_30_3)
% 293.42/42.85
% 293.42/42.85 [2729] CLOSURE : distinct_lines(N27_30_3, N27_30_3)
% 293.42/42.85
% 293.42/42.85 [2728] CLOSURE : distinct_lines(N27_30_3, N27_30_3)
% 293.42/42.85
% 293.42/42.85 [2725] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.85 -> [2754] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [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))))
% 293.42/42.85 -> [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))))
% 293.42/42.85
% 293.42/42.85 [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))))
% 293.42/42.85 -> [2780] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85 -> [2781] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.85
% 293.42/42.85 [2780] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [2781] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.85 -> [4958] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85 -> [4959] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [4959] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [4958] 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))))))
% 293.42/42.85 -> [5916] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_33_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_33_6))) | (unequally_directed_lines(skolem_N7979, N34_33_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_33_6)))))
% 293.42/42.85
% 293.42/42.85 [5916] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_33_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_33_6))) | (unequally_directed_lines(skolem_N7979, N34_33_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_33_6)))))
% 293.42/42.85 -> [5918] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85 -> [5919] ((unequally_directed_lines(skolem_M7878, N34_33_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_33_6))) | (unequally_directed_lines(skolem_N7979, N34_33_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_33_6))))
% 293.42/42.85
% 293.42/42.85 [5918] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85 -> [5932] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.85 -> [5933] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [5933] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [5932] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.85
% 293.42/42.85 [5919] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_33_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_33_6))) | (unequally_directed_lines(skolem_N7979, N34_33_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_33_6))))
% 293.42/42.85 -> [7540] (unequally_directed_lines(skolem_M7878, N34_33_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_33_6)))
% 293.42/42.85 -> [7541] (unequally_directed_lines(skolem_N7979, N34_33_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_33_6)))
% 293.42/42.85
% 293.42/42.85 [7540] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_33_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_33_6)))
% 293.42/42.85 -> [7681] unequally_directed_lines(skolem_M7878, N34_33_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_33_6))
% 293.42/42.85
% 293.42/42.85 [7681] 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)))))
% 293.42/42.85 -> [8320] ((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)))))
% 293.42/42.85
% 293.42/42.85 [8320] 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)))))
% 293.42/42.85 -> [8325] ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.85 -> [8326] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))
% 293.42/42.85
% 293.42/42.85 [8326] 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))))
% 293.42/42.85 -> [8328] unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.85 -> [8329] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.85
% 293.42/42.85 [8328] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.85
% 293.42/42.85 [8329] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [8607] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.85
% 293.42/42.85 [8607] 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))))
% 293.42/42.85 -> [8608] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [8609] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85
% 293.42/42.85 [8609] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [8612] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85 -> [8613] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [8613] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [8627] ~(left_apart_point(A39_172_9, L40_172_9) | left_apart_point(A39_172_9, reverse_line(L40_172_9)))
% 293.42/42.85
% 293.42/42.85 [8627] ALPHA_NOT_OR : ~(left_apart_point(A39_172_9, L40_172_9) | left_apart_point(A39_172_9, reverse_line(L40_172_9)))
% 293.42/42.85 -> [8628] ~left_apart_point(A39_172_9, L40_172_9), ~left_apart_point(A39_172_9, reverse_line(L40_172_9))
% 293.42/42.85
% 293.42/42.85 [8628] CLOSURE : ~left_apart_point(A39_172_9, L40_172_9)
% 293.42/42.85
% 293.42/42.85 [8612] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [8636] ~(left_apart_point(A39_173_9, L40_173_9) | left_apart_point(A39_173_9, reverse_line(L40_173_9)))
% 293.42/42.85
% 293.42/42.85 [8636] ALPHA_NOT_OR : ~(left_apart_point(A39_173_9, L40_173_9) | left_apart_point(A39_173_9, reverse_line(L40_173_9)))
% 293.42/42.85 -> [8639] ~left_apart_point(A39_173_9, L40_173_9), ~left_apart_point(A39_173_9, reverse_line(L40_173_9))
% 293.42/42.85
% 293.42/42.85 [8639] CLOSURE : ~left_apart_point(A39_173_9, L40_173_9)
% 293.42/42.85
% 293.42/42.85 [8608] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [8616] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85 -> [8617] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [8617] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [8616] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [8325] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.85 -> [8334] ~line(skolem_L7777)
% 293.42/42.85 -> [8335] ~line(line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.85
% 293.42/42.85 [8334] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [8404] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.85
% 293.42/42.85 [8404] 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))))
% 293.42/42.85 -> [8405] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [8406] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85
% 293.42/42.85 [8406] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [8409] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85 -> [8410] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [8410] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [8490] ~(left_apart_point(A39_158_9, L40_158_9) | left_apart_point(A39_158_9, reverse_line(L40_158_9)))
% 293.42/42.85
% 293.42/42.85 [8490] ALPHA_NOT_OR : ~(left_apart_point(A39_158_9, L40_158_9) | left_apart_point(A39_158_9, reverse_line(L40_158_9)))
% 293.42/42.85 -> [8491] ~left_apart_point(A39_158_9, L40_158_9), ~left_apart_point(A39_158_9, reverse_line(L40_158_9))
% 293.42/42.85
% 293.42/42.85 [8491] CLOSURE : ~left_apart_point(A39_158_9, L40_158_9)
% 293.42/42.85
% 293.42/42.85 [8409] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [8508] ~(left_apart_point(A39_160_9, L40_160_9) | left_apart_point(A39_160_9, reverse_line(L40_160_9)))
% 293.42/42.85
% 293.42/42.85 [8508] ALPHA_NOT_OR : ~(left_apart_point(A39_160_9, L40_160_9) | left_apart_point(A39_160_9, reverse_line(L40_160_9)))
% 293.42/42.85 -> [8509] ~left_apart_point(A39_160_9, L40_160_9), ~left_apart_point(A39_160_9, reverse_line(L40_160_9))
% 293.42/42.85
% 293.42/42.85 [8509] CLOSURE : ~left_apart_point(A39_160_9, L40_160_9)
% 293.42/42.85
% 293.42/42.85 [8405] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [8427] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85 -> [8428] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [8428] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [8427] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [8335] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [8378] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.85
% 293.42/42.85 [8378] 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))))
% 293.42/42.85 -> [8381] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [8382] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85
% 293.42/42.85 [8381] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [8417] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85 -> [8418] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [8418] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [8417] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [8382] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [8383] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85 -> [8384] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [8383] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [8501] ~(left_apart_point(A39_159_9, L40_159_9) | left_apart_point(A39_159_9, reverse_line(L40_159_9)))
% 293.42/42.85
% 293.42/42.85 [8501] ALPHA_NOT_OR : ~(left_apart_point(A39_159_9, L40_159_9) | left_apart_point(A39_159_9, reverse_line(L40_159_9)))
% 293.42/42.85 -> [8502] ~left_apart_point(A39_159_9, L40_159_9), ~left_apart_point(A39_159_9, reverse_line(L40_159_9))
% 293.42/42.85
% 293.42/42.85 [8502] CLOSURE : ~left_apart_point(A39_159_9, L40_159_9)
% 293.42/42.85
% 293.42/42.85 [8384] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [8471] ~(left_apart_point(A39_155_9, L40_155_9) | left_apart_point(A39_155_9, reverse_line(L40_155_9)))
% 293.42/42.85
% 293.42/42.85 [8471] ALPHA_NOT_OR : ~(left_apart_point(A39_155_9, L40_155_9) | left_apart_point(A39_155_9, reverse_line(L40_155_9)))
% 293.42/42.85 -> [8473] ~left_apart_point(A39_155_9, L40_155_9), ~left_apart_point(A39_155_9, reverse_line(L40_155_9))
% 293.42/42.85
% 293.42/42.85 [8473] CLOSURE : ~left_apart_point(A39_155_9, L40_155_9)
% 293.42/42.85
% 293.42/42.85 [7541] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_33_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_33_6)))
% 293.42/42.85 -> [7544] unequally_directed_lines(skolem_N7979, N34_33_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_33_6))
% 293.42/42.85
% 293.42/42.85 [7544] 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)))))
% 293.42/42.85 -> [8351] ((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)))))
% 293.42/42.85
% 293.42/42.85 [8351] 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)))))
% 293.42/42.85 -> [8356] ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.85 -> [8357] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))
% 293.42/42.85
% 293.42/42.85 [8356] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.85 -> [8379] ~line(skolem_L7777)
% 293.42/42.85 -> [8380] ~line(line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.85
% 293.42/42.85 [8379] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [9126] ((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))))
% 293.42/42.85
% 293.42/42.85 [9126] 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))))
% 293.42/42.85 -> [9130] ~(unequally_directed_lines(skolem_N7979, M38_116_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_116_8)))
% 293.42/42.85 -> [9131] (left_convergent_lines(skolem_N7979, M38_116_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_116_8)))
% 293.42/42.85
% 293.42/42.85 [9130] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_116_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_116_8)))
% 293.42/42.85 -> [9882] ~unequally_directed_lines(skolem_N7979, M38_116_8)
% 293.42/42.85 -> [9883] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_116_8))
% 293.42/42.85
% 293.42/42.85 [9883] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_116_8))
% 293.42/42.85
% 293.42/42.85 [9882] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_116_8)
% 293.42/42.85
% 293.42/42.85 [9131] BETA_OR : (left_convergent_lines(skolem_N7979, M38_116_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_116_8)))
% 293.42/42.85 -> [9134] left_convergent_lines(skolem_N7979, M38_116_8)
% 293.42/42.85 -> [9135] left_convergent_lines(skolem_N7979, reverse_line(M38_116_8))
% 293.42/42.85
% 293.42/42.85 [9134] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [10238] ~(left_apart_point(A39_314_9, L40_314_9) | left_apart_point(A39_314_9, reverse_line(L40_314_9)))
% 293.42/42.85
% 293.42/42.85 [10238] ALPHA_NOT_OR : ~(left_apart_point(A39_314_9, L40_314_9) | left_apart_point(A39_314_9, reverse_line(L40_314_9)))
% 293.42/42.85 -> [10240] ~left_apart_point(A39_314_9, L40_314_9), ~left_apart_point(A39_314_9, reverse_line(L40_314_9))
% 293.42/42.85
% 293.42/42.85 [10240] CLOSURE : ~left_apart_point(A39_314_9, L40_314_9)
% 293.42/42.85
% 293.42/42.85 [9135] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [10270] ~(left_apart_point(A39_317_9, L40_317_9) | left_apart_point(A39_317_9, reverse_line(L40_317_9)))
% 293.42/42.85
% 293.42/42.85 [10270] ALPHA_NOT_OR : ~(left_apart_point(A39_317_9, L40_317_9) | left_apart_point(A39_317_9, reverse_line(L40_317_9)))
% 293.42/42.85 -> [10271] ~left_apart_point(A39_317_9, L40_317_9), ~left_apart_point(A39_317_9, reverse_line(L40_317_9))
% 293.42/42.85
% 293.42/42.85 [10271] CLOSURE : ~left_apart_point(A39_317_9, L40_317_9)
% 293.42/42.85
% 293.42/42.85 [8380] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [9094] ((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))))
% 293.42/42.85
% 293.42/42.85 [9094] 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))))
% 293.42/42.85 -> [9096] ~(unequally_directed_lines(skolem_N7979, M38_113_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_113_8)))
% 293.42/42.85 -> [9097] (left_convergent_lines(skolem_N7979, M38_113_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_113_8)))
% 293.42/42.85
% 293.42/42.85 [9096] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_113_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_113_8)))
% 293.42/42.85 -> [9136] ~unequally_directed_lines(skolem_N7979, M38_113_8)
% 293.42/42.85 -> [9137] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_113_8))
% 293.42/42.85
% 293.42/42.85 [9137] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_113_8))
% 293.42/42.85
% 293.42/42.85 [9136] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_113_8)
% 293.42/42.85
% 293.42/42.85 [9097] BETA_OR : (left_convergent_lines(skolem_N7979, M38_113_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_113_8)))
% 293.42/42.85 -> [9098] left_convergent_lines(skolem_N7979, M38_113_8)
% 293.42/42.85 -> [9099] left_convergent_lines(skolem_N7979, reverse_line(M38_113_8))
% 293.42/42.85
% 293.42/42.85 [9098] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [10463] ~(left_apart_point(A39_335_9, L40_335_9) | left_apart_point(A39_335_9, reverse_line(L40_335_9)))
% 293.42/42.85
% 293.42/42.85 [10463] ALPHA_NOT_OR : ~(left_apart_point(A39_335_9, L40_335_9) | left_apart_point(A39_335_9, reverse_line(L40_335_9)))
% 293.42/42.85 -> [10464] ~left_apart_point(A39_335_9, L40_335_9), ~left_apart_point(A39_335_9, reverse_line(L40_335_9))
% 293.42/42.85
% 293.42/42.85 [10464] CLOSURE : ~left_apart_point(A39_335_9, L40_335_9)
% 293.42/42.85
% 293.42/42.85 [9099] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [10512] ~(left_apart_point(A39_348_9, L40_348_9) | left_apart_point(A39_348_9, reverse_line(L40_348_9)))
% 293.42/42.85
% 293.42/42.85 [10512] ALPHA_NOT_OR : ~(left_apart_point(A39_348_9, L40_348_9) | left_apart_point(A39_348_9, reverse_line(L40_348_9)))
% 293.42/42.85 -> [10517] ~left_apart_point(A39_348_9, L40_348_9), ~left_apart_point(A39_348_9, reverse_line(L40_348_9))
% 293.42/42.85
% 293.42/42.85 [10517] CLOSURE : ~left_apart_point(A39_348_9, L40_348_9)
% 293.42/42.85
% 293.42/42.85 [8357] 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))))
% 293.42/42.85 -> [8361] unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.85 -> [8362] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.85
% 293.42/42.85 [8361] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.85
% 293.42/42.85 [8362] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [11037] ((unequally_directed_lines(skolem_N7979, M38_205_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_205_8))) => (left_convergent_lines(skolem_N7979, M38_205_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_205_8))))
% 293.42/42.85
% 293.42/42.85 [11037] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_205_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_205_8))) => (left_convergent_lines(skolem_N7979, M38_205_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_205_8))))
% 293.42/42.85 -> [11038] ~(unequally_directed_lines(skolem_N7979, M38_205_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_205_8)))
% 293.42/42.85 -> [11039] (left_convergent_lines(skolem_N7979, M38_205_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_205_8)))
% 293.42/42.85
% 293.42/42.85 [11038] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_205_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_205_8)))
% 293.42/42.85 -> [11090] ~unequally_directed_lines(skolem_N7979, M38_205_8)
% 293.42/42.85 -> [11091] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_205_8))
% 293.42/42.85
% 293.42/42.85 [11090] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_205_8)
% 293.42/42.85
% 293.42/42.85 [11091] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_205_8))
% 293.42/42.85
% 293.42/42.85 [11039] BETA_OR : (left_convergent_lines(skolem_N7979, M38_205_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_205_8)))
% 293.42/42.85 -> [11040] left_convergent_lines(skolem_N7979, M38_205_8)
% 293.42/42.85 -> [11041] left_convergent_lines(skolem_N7979, reverse_line(M38_205_8))
% 293.42/42.85
% 293.42/42.85 [11041] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [11221] ~(left_apart_point(A39_393_9, L40_393_9) | left_apart_point(A39_393_9, reverse_line(L40_393_9)))
% 293.42/42.85
% 293.42/42.85 [11221] ALPHA_NOT_OR : ~(left_apart_point(A39_393_9, L40_393_9) | left_apart_point(A39_393_9, reverse_line(L40_393_9)))
% 293.42/42.85 -> [11222] ~left_apart_point(A39_393_9, L40_393_9), ~left_apart_point(A39_393_9, reverse_line(L40_393_9))
% 293.42/42.85
% 293.42/42.85 [11222] CLOSURE : ~left_apart_point(A39_393_9, L40_393_9)
% 293.42/42.85
% 293.42/42.85 [11040] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [11272] ~(left_apart_point(A39_399_9, L40_399_9) | left_apart_point(A39_399_9, reverse_line(L40_399_9)))
% 293.42/42.85
% 293.42/42.85 [11272] ALPHA_NOT_OR : ~(left_apart_point(A39_399_9, L40_399_9) | left_apart_point(A39_399_9, reverse_line(L40_399_9)))
% 293.42/42.85 -> [11276] ~left_apart_point(A39_399_9, L40_399_9), ~left_apart_point(A39_399_9, reverse_line(L40_399_9))
% 293.42/42.85
% 293.42/42.85 [11276] CLOSURE : ~left_apart_point(A39_399_9, L40_399_9)
% 293.42/42.85
% 293.42/42.85 [1158] 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)))
% 293.42/42.85 -> [1162] (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)))
% 293.42/42.85
% 293.42/42.85 [1162] 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)))
% 293.42/42.85 -> [1163] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 293.42/42.85 -> [1164] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [1163] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.85 -> [3959] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.85
% 293.42/42.85 [3959] 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))))
% 293.42/42.85 -> [4211] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.85
% 293.42/42.85 [4211] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.85 -> [4212] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.85 -> [4213] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.85
% 293.42/42.85 [4212] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.85
% 293.42/42.85 [4213] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.85 -> [5599] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.85 -> [5600] distinct_points(skolem_C8282, skolem_B8181)
% 293.42/42.85
% 293.42/42.85 [5599] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.85
% 293.42/42.85 [5600] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.85 -> [7272] ~distinct_lines(N27_249_3, N27_249_3)
% 293.42/42.85
% 293.42/42.85 [7272] 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))))
% 293.42/42.85 -> [8024] (distinct_lines(N27_249_3, N27_249_3) => (distinct_lines(N27_249_3, N27_249_3) | distinct_lines(N27_249_3, N27_249_3)))
% 293.42/42.85
% 293.42/42.85 [8024] BETA_IMPLY : (distinct_lines(N27_249_3, N27_249_3) => (distinct_lines(N27_249_3, N27_249_3) | distinct_lines(N27_249_3, N27_249_3)))
% 293.42/42.85 -> [8028] ~distinct_lines(N27_249_3, N27_249_3)
% 293.42/42.85 -> [8029] (distinct_lines(N27_249_3, N27_249_3) | distinct_lines(N27_249_3, N27_249_3))
% 293.42/42.85
% 293.42/42.85 [8029] BETA_OR : (distinct_lines(N27_249_3, N27_249_3) | distinct_lines(N27_249_3, N27_249_3))
% 293.42/42.85 -> [8037] distinct_lines(N27_249_3, N27_249_3)
% 293.42/42.85 -> [8038] distinct_lines(N27_249_3, N27_249_3)
% 293.42/42.85
% 293.42/42.85 [8037] CLOSURE : distinct_lines(N27_249_3, N27_249_3)
% 293.42/42.85
% 293.42/42.85 [8038] CLOSURE : distinct_lines(N27_249_3, N27_249_3)
% 293.42/42.85
% 293.42/42.85 [8028] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.85 -> [8162] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [8162] 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))))
% 293.42/42.85 -> [8533] (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)))
% 293.42/42.85
% 293.42/42.85 [8533] 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)))
% 293.42/42.85 -> [8535] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85 -> [8536] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [8535] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [8536] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.85 -> [11420] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.85 -> [11421] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [11420] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [11421] 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))))))
% 293.42/42.85 -> [12126] ((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)))))
% 293.42/42.85
% 293.42/42.85 [12126] 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)))))
% 293.42/42.85 -> [12129] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85 -> [12130] ((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))))
% 293.42/42.85
% 293.42/42.85 [12129] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85 -> [12145] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.85 -> [12146] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [12146] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [12145] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.85
% 293.42/42.85 [12130] 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))))
% 293.42/42.85 -> [15992] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [15993] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.85
% 293.42/42.85 [15992] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [16006] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [16006] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [15993] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [16000] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [16000] 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)))))
% 293.42/42.85 -> [16150] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.85
% 293.42/42.85 [16150] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.85 -> [16152] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.85 -> [16153] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.85
% 293.42/42.85 [16153] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [16159] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.85 -> [16160] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [16159] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [16160] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [16524] ((unequally_directed_lines(skolem_N7979, M38_518_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_518_8))) => (left_convergent_lines(skolem_N7979, M38_518_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_518_8))))
% 293.42/42.85
% 293.42/42.85 [16524] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_518_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_518_8))) => (left_convergent_lines(skolem_N7979, M38_518_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_518_8))))
% 293.42/42.85 -> [16525] ~(unequally_directed_lines(skolem_N7979, M38_518_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_518_8)))
% 293.42/42.85 -> [16526] (left_convergent_lines(skolem_N7979, M38_518_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_518_8)))
% 293.42/42.85
% 293.42/42.85 [16526] BETA_OR : (left_convergent_lines(skolem_N7979, M38_518_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_518_8)))
% 293.42/42.85 -> [16532] left_convergent_lines(skolem_N7979, M38_518_8)
% 293.42/42.85 -> [16533] left_convergent_lines(skolem_N7979, reverse_line(M38_518_8))
% 293.42/42.85
% 293.42/42.85 [16533] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [17035] ~(left_apart_point(A39_1030_9, L40_1030_9) | left_apart_point(A39_1030_9, reverse_line(L40_1030_9)))
% 293.42/42.85
% 293.42/42.85 [17035] ALPHA_NOT_OR : ~(left_apart_point(A39_1030_9, L40_1030_9) | left_apart_point(A39_1030_9, reverse_line(L40_1030_9)))
% 293.42/42.85 -> [17036] ~left_apart_point(A39_1030_9, L40_1030_9), ~left_apart_point(A39_1030_9, reverse_line(L40_1030_9))
% 293.42/42.85
% 293.42/42.85 [17036] CLOSURE : ~left_apart_point(A39_1030_9, L40_1030_9)
% 293.42/42.85
% 293.42/42.85 [16532] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [17166] ~(left_apart_point(A39_1047_9, L40_1047_9) | left_apart_point(A39_1047_9, reverse_line(L40_1047_9)))
% 293.42/42.85
% 293.42/42.85 [17166] ALPHA_NOT_OR : ~(left_apart_point(A39_1047_9, L40_1047_9) | left_apart_point(A39_1047_9, reverse_line(L40_1047_9)))
% 293.42/42.85 -> [17171] ~left_apart_point(A39_1047_9, L40_1047_9), ~left_apart_point(A39_1047_9, reverse_line(L40_1047_9))
% 293.42/42.85
% 293.42/42.85 [17171] CLOSURE : ~left_apart_point(A39_1047_9, L40_1047_9)
% 293.42/42.85
% 293.42/42.85 [16525] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_518_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_518_8)))
% 293.42/42.85 -> [16667] ~unequally_directed_lines(skolem_N7979, M38_518_8)
% 293.42/42.85 -> [16668] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_518_8))
% 293.42/42.85
% 293.42/42.85 [16668] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_518_8))
% 293.42/42.85
% 293.42/42.85 [16667] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_518_8)
% 293.42/42.85
% 293.42/42.85 [16152] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.85 -> [16178] ~line(skolem_M7878)
% 293.42/42.85 -> [16179] ~line(skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [16179] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [16510] ((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))))
% 293.42/42.85
% 293.42/42.85 [16510] 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))))
% 293.42/42.85 -> [16513] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85 -> [16514] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85
% 293.42/42.85 [16513] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85 -> [16655] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.85 -> [16656] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [16656] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [16655] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.85
% 293.42/42.85 [16514] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85 -> [16518] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.85 -> [16519] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [16519] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [17028] ~(left_apart_point(A39_1029_9, L40_1029_9) | left_apart_point(A39_1029_9, reverse_line(L40_1029_9)))
% 293.42/42.85
% 293.42/42.85 [17028] ALPHA_NOT_OR : ~(left_apart_point(A39_1029_9, L40_1029_9) | left_apart_point(A39_1029_9, reverse_line(L40_1029_9)))
% 293.42/42.85 -> [17029] ~left_apart_point(A39_1029_9, L40_1029_9), ~left_apart_point(A39_1029_9, reverse_line(L40_1029_9))
% 293.42/42.85
% 293.42/42.85 [17029] CLOSURE : ~left_apart_point(A39_1029_9, L40_1029_9)
% 293.42/42.85
% 293.42/42.85 [16518] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [17152] ~(left_apart_point(A39_1044_9, L40_1044_9) | left_apart_point(A39_1044_9, reverse_line(L40_1044_9)))
% 293.42/42.85
% 293.42/42.85 [17152] ALPHA_NOT_OR : ~(left_apart_point(A39_1044_9, L40_1044_9) | left_apart_point(A39_1044_9, reverse_line(L40_1044_9)))
% 293.42/42.85 -> [17156] ~left_apart_point(A39_1044_9, L40_1044_9), ~left_apart_point(A39_1044_9, reverse_line(L40_1044_9))
% 293.42/42.85
% 293.42/42.85 [17156] CLOSURE : ~left_apart_point(A39_1044_9, L40_1044_9)
% 293.42/42.85
% 293.42/42.85 [16178] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [16632] ((unequally_directed_lines(skolem_N7979, M38_527_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_527_8))) => (left_convergent_lines(skolem_N7979, M38_527_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_527_8))))
% 293.42/42.85
% 293.42/42.85 [16632] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_527_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_527_8))) => (left_convergent_lines(skolem_N7979, M38_527_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_527_8))))
% 293.42/42.85 -> [16636] ~(unequally_directed_lines(skolem_N7979, M38_527_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_527_8)))
% 293.42/42.85 -> [16637] (left_convergent_lines(skolem_N7979, M38_527_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_527_8)))
% 293.42/42.85
% 293.42/42.85 [16637] BETA_OR : (left_convergent_lines(skolem_N7979, M38_527_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_527_8)))
% 293.42/42.85 -> [16645] left_convergent_lines(skolem_N7979, M38_527_8)
% 293.42/42.85 -> [16646] left_convergent_lines(skolem_N7979, reverse_line(M38_527_8))
% 293.42/42.85
% 293.42/42.85 [16646] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [17139] ~(left_apart_point(A39_1041_9, L40_1041_9) | left_apart_point(A39_1041_9, reverse_line(L40_1041_9)))
% 293.42/42.85
% 293.42/42.85 [17139] ALPHA_NOT_OR : ~(left_apart_point(A39_1041_9, L40_1041_9) | left_apart_point(A39_1041_9, reverse_line(L40_1041_9)))
% 293.42/42.85 -> [17140] ~left_apart_point(A39_1041_9, L40_1041_9), ~left_apart_point(A39_1041_9, reverse_line(L40_1041_9))
% 293.42/42.85
% 293.42/42.85 [17140] CLOSURE : ~left_apart_point(A39_1041_9, L40_1041_9)
% 293.42/42.85
% 293.42/42.85 [16645] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [17257] ~(left_apart_point(A39_1062_9, L40_1062_9) | left_apart_point(A39_1062_9, reverse_line(L40_1062_9)))
% 293.42/42.85
% 293.42/42.85 [17257] ALPHA_NOT_OR : ~(left_apart_point(A39_1062_9, L40_1062_9) | left_apart_point(A39_1062_9, reverse_line(L40_1062_9)))
% 293.42/42.85 -> [17260] ~left_apart_point(A39_1062_9, L40_1062_9), ~left_apart_point(A39_1062_9, reverse_line(L40_1062_9))
% 293.42/42.85
% 293.42/42.85 [17260] CLOSURE : ~left_apart_point(A39_1062_9, L40_1062_9)
% 293.42/42.85
% 293.42/42.85 [16636] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_527_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_527_8)))
% 293.42/42.85 -> [16783] ~unequally_directed_lines(skolem_N7979, M38_527_8)
% 293.42/42.85 -> [16784] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_527_8))
% 293.42/42.85
% 293.42/42.85 [16784] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_527_8))
% 293.42/42.85
% 293.42/42.85 [16783] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_527_8)
% 293.42/42.85
% 293.42/42.85 [1164] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.85 -> [2151] ~distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.85
% 293.42/42.85 [2151] 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))))
% 293.42/42.85 -> [2255] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.85
% 293.42/42.85 [2255] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.85 -> [2258] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.85 -> [2259] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.85
% 293.42/42.85 [2258] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.85
% 293.42/42.85 [2259] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.85 -> [5153] distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.85 -> [5154] distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.85
% 293.42/42.85 [5154] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.85
% 293.42/42.85 [5153] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.85 -> [6151] ~distinct_lines(N27_191_3, N27_191_3)
% 293.42/42.85
% 293.42/42.85 [6151] 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))))
% 293.42/42.85 -> [6197] (distinct_lines(N27_191_3, N27_191_3) => (distinct_lines(N27_191_3, N27_191_3) | distinct_lines(N27_191_3, N27_191_3)))
% 293.42/42.85
% 293.42/42.85 [6197] BETA_IMPLY : (distinct_lines(N27_191_3, N27_191_3) => (distinct_lines(N27_191_3, N27_191_3) | distinct_lines(N27_191_3, N27_191_3)))
% 293.42/42.85 -> [6198] ~distinct_lines(N27_191_3, N27_191_3)
% 293.42/42.85 -> [6199] (distinct_lines(N27_191_3, N27_191_3) | distinct_lines(N27_191_3, N27_191_3))
% 293.42/42.85
% 293.42/42.85 [6199] BETA_OR : (distinct_lines(N27_191_3, N27_191_3) | distinct_lines(N27_191_3, N27_191_3))
% 293.42/42.85 -> [6202] distinct_lines(N27_191_3, N27_191_3)
% 293.42/42.85 -> [6203] distinct_lines(N27_191_3, N27_191_3)
% 293.42/42.85
% 293.42/42.85 [6203] CLOSURE : distinct_lines(N27_191_3, N27_191_3)
% 293.42/42.85
% 293.42/42.85 [6202] CLOSURE : distinct_lines(N27_191_3, N27_191_3)
% 293.42/42.85
% 293.42/42.85 [6198] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.85 -> [6301] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [6301] 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))))
% 293.42/42.85 -> [6368] (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)))
% 293.42/42.85
% 293.42/42.85 [6368] 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)))
% 293.42/42.85 -> [6369] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85 -> [6370] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [6369] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [6370] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.85 -> [15994] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.85 -> [15995] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [15994] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [15995] 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))))))
% 293.42/42.85 -> [22712] ((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)))))
% 293.42/42.85
% 293.42/42.85 [22712] 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)))))
% 293.42/42.85 -> [22713] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85 -> [22714] ((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))))
% 293.42/42.85
% 293.42/42.85 [22713] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85 -> [22744] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.85 -> [22745] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [22744] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.85
% 293.42/42.85 [22745] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [22714] 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))))
% 293.42/42.85 -> [25044] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [25045] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.85
% 293.42/42.85 [25045] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [25058] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [25058] 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)))))
% 293.42/42.85 -> [25061] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.85
% 293.42/42.85 [25061] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.85 -> [25065] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.85 -> [25066] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.85
% 293.42/42.85 [25066] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [25069] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.85 -> [25070] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [25069] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [25070] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [25107] ((unequally_directed_lines(skolem_N7979, M38_1080_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1080_8))) => (left_convergent_lines(skolem_N7979, M38_1080_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1080_8))))
% 293.42/42.85
% 293.42/42.85 [25107] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1080_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1080_8))) => (left_convergent_lines(skolem_N7979, M38_1080_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1080_8))))
% 293.42/42.85 -> [25115] ~(unequally_directed_lines(skolem_N7979, M38_1080_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1080_8)))
% 293.42/42.85 -> [25116] (left_convergent_lines(skolem_N7979, M38_1080_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1080_8)))
% 293.42/42.85
% 293.42/42.85 [25116] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1080_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1080_8)))
% 293.42/42.85 -> [25125] left_convergent_lines(skolem_N7979, M38_1080_8)
% 293.42/42.85 -> [25126] left_convergent_lines(skolem_N7979, reverse_line(M38_1080_8))
% 293.42/42.85
% 293.42/42.85 [25126] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [25226] ~(left_apart_point(A39_2137_9, L40_2137_9) | left_apart_point(A39_2137_9, reverse_line(L40_2137_9)))
% 293.42/42.85
% 293.42/42.85 [25226] ALPHA_NOT_OR : ~(left_apart_point(A39_2137_9, L40_2137_9) | left_apart_point(A39_2137_9, reverse_line(L40_2137_9)))
% 293.42/42.85 -> [25229] ~left_apart_point(A39_2137_9, L40_2137_9), ~left_apart_point(A39_2137_9, reverse_line(L40_2137_9))
% 293.42/42.85
% 293.42/42.85 [25229] CLOSURE : ~left_apart_point(A39_2137_9, L40_2137_9)
% 293.42/42.85
% 293.42/42.85 [25125] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [25236] ~(left_apart_point(A39_2141_9, L40_2141_9) | left_apart_point(A39_2141_9, reverse_line(L40_2141_9)))
% 293.42/42.85
% 293.42/42.85 [25236] ALPHA_NOT_OR : ~(left_apart_point(A39_2141_9, L40_2141_9) | left_apart_point(A39_2141_9, reverse_line(L40_2141_9)))
% 293.42/42.85 -> [25239] ~left_apart_point(A39_2141_9, L40_2141_9), ~left_apart_point(A39_2141_9, reverse_line(L40_2141_9))
% 293.42/42.85
% 293.42/42.85 [25239] CLOSURE : ~left_apart_point(A39_2141_9, L40_2141_9)
% 293.42/42.85
% 293.42/42.85 [25115] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1080_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1080_8)))
% 293.42/42.85 -> [25158] ~unequally_directed_lines(skolem_N7979, M38_1080_8)
% 293.42/42.85 -> [25159] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1080_8))
% 293.42/42.85
% 293.42/42.85 [25159] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1080_8))
% 293.42/42.85
% 293.42/42.85 [25158] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1080_8)
% 293.42/42.85
% 293.42/42.85 [25065] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.85 -> [25077] ~line(skolem_M7878)
% 293.42/42.85 -> [25078] ~line(skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [25077] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [25133] ((unequally_directed_lines(skolem_N7979, M38_1082_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1082_8))) => (left_convergent_lines(skolem_N7979, M38_1082_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1082_8))))
% 293.42/42.85
% 293.42/42.85 [25133] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1082_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1082_8))) => (left_convergent_lines(skolem_N7979, M38_1082_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1082_8))))
% 293.42/42.85 -> [25136] ~(unequally_directed_lines(skolem_N7979, M38_1082_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1082_8)))
% 293.42/42.85 -> [25137] (left_convergent_lines(skolem_N7979, M38_1082_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1082_8)))
% 293.42/42.85
% 293.42/42.85 [25137] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1082_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1082_8)))
% 293.42/42.85 -> [25141] left_convergent_lines(skolem_N7979, M38_1082_8)
% 293.42/42.85 -> [25142] left_convergent_lines(skolem_N7979, reverse_line(M38_1082_8))
% 293.42/42.85
% 293.42/42.85 [25142] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [25209] ~(left_apart_point(A39_2132_9, L40_2132_9) | left_apart_point(A39_2132_9, reverse_line(L40_2132_9)))
% 293.42/42.85
% 293.42/42.85 [25209] ALPHA_NOT_OR : ~(left_apart_point(A39_2132_9, L40_2132_9) | left_apart_point(A39_2132_9, reverse_line(L40_2132_9)))
% 293.42/42.85 -> [25213] ~left_apart_point(A39_2132_9, L40_2132_9), ~left_apart_point(A39_2132_9, reverse_line(L40_2132_9))
% 293.42/42.85
% 293.42/42.85 [25213] CLOSURE : ~left_apart_point(A39_2132_9, L40_2132_9)
% 293.42/42.85
% 293.42/42.85 [25141] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [25220] ~(left_apart_point(A39_2135_9, L40_2135_9) | left_apart_point(A39_2135_9, reverse_line(L40_2135_9)))
% 293.42/42.85
% 293.42/42.85 [25220] ALPHA_NOT_OR : ~(left_apart_point(A39_2135_9, L40_2135_9) | left_apart_point(A39_2135_9, reverse_line(L40_2135_9)))
% 293.42/42.85 -> [25221] ~left_apart_point(A39_2135_9, L40_2135_9), ~left_apart_point(A39_2135_9, reverse_line(L40_2135_9))
% 293.42/42.85
% 293.42/42.85 [25221] CLOSURE : ~left_apart_point(A39_2135_9, L40_2135_9)
% 293.42/42.85
% 293.42/42.85 [25136] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1082_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1082_8)))
% 293.42/42.85 -> [25163] ~unequally_directed_lines(skolem_N7979, M38_1082_8)
% 293.42/42.85 -> [25164] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1082_8))
% 293.42/42.85
% 293.42/42.85 [25164] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1082_8))
% 293.42/42.85
% 293.42/42.85 [25163] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1082_8)
% 293.42/42.85
% 293.42/42.85 [25078] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [25094] ((unequally_directed_lines(skolem_N7979, M38_1078_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1078_8))) => (left_convergent_lines(skolem_N7979, M38_1078_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1078_8))))
% 293.42/42.85
% 293.42/42.85 [25094] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1078_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1078_8))) => (left_convergent_lines(skolem_N7979, M38_1078_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1078_8))))
% 293.42/42.85 -> [25095] ~(unequally_directed_lines(skolem_N7979, M38_1078_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1078_8)))
% 293.42/42.85 -> [25096] (left_convergent_lines(skolem_N7979, M38_1078_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1078_8)))
% 293.42/42.85
% 293.42/42.85 [25095] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1078_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1078_8)))
% 293.42/42.85 -> [25149] ~unequally_directed_lines(skolem_N7979, M38_1078_8)
% 293.42/42.85 -> [25150] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1078_8))
% 293.42/42.85
% 293.42/42.85 [25149] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1078_8)
% 293.42/42.85
% 293.42/42.85 [25150] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1078_8))
% 293.42/42.85
% 293.42/42.85 [25096] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1078_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1078_8)))
% 293.42/42.85 -> [25097] left_convergent_lines(skolem_N7979, M38_1078_8)
% 293.42/42.85 -> [25098] left_convergent_lines(skolem_N7979, reverse_line(M38_1078_8))
% 293.42/42.85
% 293.42/42.85 [25098] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [25433] ~(left_apart_point(A39_2169_9, L40_2169_9) | left_apart_point(A39_2169_9, reverse_line(L40_2169_9)))
% 293.42/42.85
% 293.42/42.85 [25433] ALPHA_NOT_OR : ~(left_apart_point(A39_2169_9, L40_2169_9) | left_apart_point(A39_2169_9, reverse_line(L40_2169_9)))
% 293.42/42.85 -> [25434] ~left_apart_point(A39_2169_9, L40_2169_9), ~left_apart_point(A39_2169_9, reverse_line(L40_2169_9))
% 293.42/42.85
% 293.42/42.85 [25434] CLOSURE : ~left_apart_point(A39_2169_9, L40_2169_9)
% 293.42/42.85
% 293.42/42.85 [25097] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [25511] ~(left_apart_point(A39_2184_9, L40_2184_9) | left_apart_point(A39_2184_9, reverse_line(L40_2184_9)))
% 293.42/42.85
% 293.42/42.85 [25511] ALPHA_NOT_OR : ~(left_apart_point(A39_2184_9, L40_2184_9) | left_apart_point(A39_2184_9, reverse_line(L40_2184_9)))
% 293.42/42.85 -> [25514] ~left_apart_point(A39_2184_9, L40_2184_9), ~left_apart_point(A39_2184_9, reverse_line(L40_2184_9))
% 293.42/42.85
% 293.42/42.85 [25514] CLOSURE : ~left_apart_point(A39_2184_9, L40_2184_9)
% 293.42/42.85
% 293.42/42.85 [25044] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [25541] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [25541] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [364] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.85 -> [467] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))
% 293.42/42.85 -> [468] ~~(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)))
% 293.42/42.85
% 293.42/42.85 [468] 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)))
% 293.42/42.85 -> [473] (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)))
% 293.42/42.85
% 293.42/42.85 [473] 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)))
% 293.42/42.85 -> [476] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 293.42/42.85 -> [477] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [476] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.85 -> [522] ~distinct_points(C23_56_1, C23_56_1)
% 293.42/42.85
% 293.42/42.85 [522] 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))))
% 293.42/42.85 -> [1125] (distinct_points(C23_56_1, C23_56_1) => (distinct_points(C23_56_1, C23_56_1) | distinct_points(C23_56_1, C23_56_1)))
% 293.42/42.85
% 293.42/42.85 [1125] BETA_IMPLY : (distinct_points(C23_56_1, C23_56_1) => (distinct_points(C23_56_1, C23_56_1) | distinct_points(C23_56_1, C23_56_1)))
% 293.42/42.85 -> [1127] ~distinct_points(C23_56_1, C23_56_1)
% 293.42/42.85 -> [1128] (distinct_points(C23_56_1, C23_56_1) | distinct_points(C23_56_1, C23_56_1))
% 293.42/42.85
% 293.42/42.85 [1128] BETA_OR : (distinct_points(C23_56_1, C23_56_1) | distinct_points(C23_56_1, C23_56_1))
% 293.42/42.85 -> [1137] distinct_points(C23_56_1, C23_56_1)
% 293.42/42.85 -> [1138] distinct_points(C23_56_1, C23_56_1)
% 293.42/42.85
% 293.42/42.85 [1137] CLOSURE : distinct_points(C23_56_1, C23_56_1)
% 293.42/42.85
% 293.42/42.85 [1138] CLOSURE : distinct_points(C23_56_1, C23_56_1)
% 293.42/42.85
% 293.42/42.85 [1127] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.85 -> [2064] ~distinct_lines(N27_9_3, N27_9_3)
% 293.42/42.85
% 293.42/42.85 [2064] 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))))
% 293.42/42.85 -> [2090] (distinct_lines(N27_9_3, N27_9_3) => (distinct_lines(N27_9_3, N27_9_3) | distinct_lines(N27_9_3, N27_9_3)))
% 293.42/42.85
% 293.42/42.85 [2090] 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)))
% 293.42/42.85 -> [2095] ~distinct_lines(N27_9_3, N27_9_3)
% 293.42/42.85 -> [2096] (distinct_lines(N27_9_3, N27_9_3) | distinct_lines(N27_9_3, N27_9_3))
% 293.42/42.85
% 293.42/42.85 [2096] BETA_OR : (distinct_lines(N27_9_3, N27_9_3) | distinct_lines(N27_9_3, N27_9_3))
% 293.42/42.85 -> [2104] distinct_lines(N27_9_3, N27_9_3)
% 293.42/42.85 -> [2105] distinct_lines(N27_9_3, N27_9_3)
% 293.42/42.85
% 293.42/42.85 [2104] CLOSURE : distinct_lines(N27_9_3, N27_9_3)
% 293.42/42.85
% 293.42/42.85 [2105] CLOSURE : distinct_lines(N27_9_3, N27_9_3)
% 293.42/42.85
% 293.42/42.85 [2095] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.85 -> [2119] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [2119] 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))))
% 293.42/42.85 -> [2143] (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)))
% 293.42/42.85
% 293.42/42.85 [2143] 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)))
% 293.42/42.85 -> [2144] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85 -> [2145] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [2144] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [2145] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.85 -> [3962] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.85 -> [3963] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [3962] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [3963] 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))))))
% 293.42/42.85 -> [4131] ((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)))))
% 293.42/42.85
% 293.42/42.85 [4131] 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)))))
% 293.42/42.85 -> [4132] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85 -> [4133] ((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))))
% 293.42/42.85
% 293.42/42.85 [4132] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85 -> [4145] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.85 -> [4146] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [4146] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [4145] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.85
% 293.42/42.85 [4133] 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))))
% 293.42/42.85 -> [8248] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [8249] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.85
% 293.42/42.85 [8248] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [8336] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [8336] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [8249] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [8251] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [8251] 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)))))
% 293.42/42.85 -> [8706] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.85
% 293.42/42.85 [8706] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.85 -> [9169] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.85 -> [9170] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.85
% 293.42/42.85 [9170] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [9175] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.85 -> [9176] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [9175] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [9176] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [9232] ((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))))
% 293.42/42.85
% 293.42/42.85 [9232] 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))))
% 293.42/42.85 -> [9233] ~(unequally_directed_lines(skolem_N7979, M38_125_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_125_8)))
% 293.42/42.85 -> [9234] (left_convergent_lines(skolem_N7979, M38_125_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_125_8)))
% 293.42/42.85
% 293.42/42.85 [9233] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_125_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_125_8)))
% 293.42/42.85 -> [9254] ~unequally_directed_lines(skolem_N7979, M38_125_8)
% 293.42/42.85 -> [9255] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_125_8))
% 293.42/42.85
% 293.42/42.85 [9254] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_125_8)
% 293.42/42.85
% 293.42/42.85 [9255] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_125_8))
% 293.42/42.85
% 293.42/42.85 [9234] BETA_OR : (left_convergent_lines(skolem_N7979, M38_125_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_125_8)))
% 293.42/42.85 -> [9235] left_convergent_lines(skolem_N7979, M38_125_8)
% 293.42/42.85 -> [9236] left_convergent_lines(skolem_N7979, reverse_line(M38_125_8))
% 293.42/42.85
% 293.42/42.85 [9235] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [10169] ~(left_apart_point(A39_304_9, L40_304_9) | left_apart_point(A39_304_9, reverse_line(L40_304_9)))
% 293.42/42.85
% 293.42/42.85 [10169] ALPHA_NOT_OR : ~(left_apart_point(A39_304_9, L40_304_9) | left_apart_point(A39_304_9, reverse_line(L40_304_9)))
% 293.42/42.85 -> [10172] ~left_apart_point(A39_304_9, L40_304_9), ~left_apart_point(A39_304_9, reverse_line(L40_304_9))
% 293.42/42.85
% 293.42/42.85 [10172] CLOSURE : ~left_apart_point(A39_304_9, L40_304_9)
% 293.42/42.85
% 293.42/42.85 [9236] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [10302] ~(left_apart_point(A39_322_9, L40_322_9) | left_apart_point(A39_322_9, reverse_line(L40_322_9)))
% 293.42/42.85
% 293.42/42.85 [10302] ALPHA_NOT_OR : ~(left_apart_point(A39_322_9, L40_322_9) | left_apart_point(A39_322_9, reverse_line(L40_322_9)))
% 293.42/42.85 -> [10303] ~left_apart_point(A39_322_9, L40_322_9), ~left_apart_point(A39_322_9, reverse_line(L40_322_9))
% 293.42/42.85
% 293.42/42.85 [10303] CLOSURE : ~left_apart_point(A39_322_9, L40_322_9)
% 293.42/42.85
% 293.42/42.85 [9169] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.85 -> [9190] ~line(skolem_M7878)
% 293.42/42.85 -> [9191] ~line(skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [9191] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [9218] ((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))))
% 293.42/42.85
% 293.42/42.85 [9218] 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))))
% 293.42/42.85 -> [9219] ~(unequally_directed_lines(skolem_N7979, M38_123_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_123_8)))
% 293.42/42.85 -> [9220] (left_convergent_lines(skolem_N7979, M38_123_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_123_8)))
% 293.42/42.85
% 293.42/42.85 [9219] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_123_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_123_8)))
% 293.42/42.85 -> [9247] ~unequally_directed_lines(skolem_N7979, M38_123_8)
% 293.42/42.85 -> [9248] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_123_8))
% 293.42/42.85
% 293.42/42.85 [9248] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_123_8))
% 293.42/42.85
% 293.42/42.85 [9247] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_123_8)
% 293.42/42.85
% 293.42/42.85 [9220] BETA_OR : (left_convergent_lines(skolem_N7979, M38_123_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_123_8)))
% 293.42/42.85 -> [9224] left_convergent_lines(skolem_N7979, M38_123_8)
% 293.42/42.85 -> [9225] left_convergent_lines(skolem_N7979, reverse_line(M38_123_8))
% 293.42/42.85
% 293.42/42.85 [9225] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [9312] ~(left_apart_point(A39_226_9, L40_226_9) | left_apart_point(A39_226_9, reverse_line(L40_226_9)))
% 293.42/42.85
% 293.42/42.85 [9312] ALPHA_NOT_OR : ~(left_apart_point(A39_226_9, L40_226_9) | left_apart_point(A39_226_9, reverse_line(L40_226_9)))
% 293.42/42.85 -> [9314] ~left_apart_point(A39_226_9, L40_226_9), ~left_apart_point(A39_226_9, reverse_line(L40_226_9))
% 293.42/42.85
% 293.42/42.85 [9314] CLOSURE : ~left_apart_point(A39_226_9, L40_226_9)
% 293.42/42.85
% 293.42/42.85 [9224] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [11824] ~(left_apart_point(A39_453_9, L40_453_9) | left_apart_point(A39_453_9, reverse_line(L40_453_9)))
% 293.42/42.85
% 293.42/42.85 [11824] ALPHA_NOT_OR : ~(left_apart_point(A39_453_9, L40_453_9) | left_apart_point(A39_453_9, reverse_line(L40_453_9)))
% 293.42/42.85 -> [11825] ~left_apart_point(A39_453_9, L40_453_9), ~left_apart_point(A39_453_9, reverse_line(L40_453_9))
% 293.42/42.85
% 293.42/42.85 [11825] CLOSURE : ~left_apart_point(A39_453_9, L40_453_9)
% 293.42/42.85
% 293.42/42.85 [9190] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [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))))
% 293.42/42.85
% 293.42/42.85 [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))))
% 293.42/42.85 -> [9242] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85 -> [9243] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85
% 293.42/42.85 [9243] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85 -> [9244] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.85 -> [9245] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [9245] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [11717] ~(left_apart_point(A39_437_9, L40_437_9) | left_apart_point(A39_437_9, reverse_line(L40_437_9)))
% 293.42/42.85
% 293.42/42.85 [11717] ALPHA_NOT_OR : ~(left_apart_point(A39_437_9, L40_437_9) | left_apart_point(A39_437_9, reverse_line(L40_437_9)))
% 293.42/42.85 -> [11719] ~left_apart_point(A39_437_9, L40_437_9), ~left_apart_point(A39_437_9, reverse_line(L40_437_9))
% 293.42/42.85
% 293.42/42.85 [11719] CLOSURE : ~left_apart_point(A39_437_9, L40_437_9)
% 293.42/42.85
% 293.42/42.85 [9244] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [11732] ~(left_apart_point(A39_438_9, L40_438_9) | left_apart_point(A39_438_9, reverse_line(L40_438_9)))
% 293.42/42.85
% 293.42/42.85 [11732] ALPHA_NOT_OR : ~(left_apart_point(A39_438_9, L40_438_9) | left_apart_point(A39_438_9, reverse_line(L40_438_9)))
% 293.42/42.85 -> [11733] ~left_apart_point(A39_438_9, L40_438_9), ~left_apart_point(A39_438_9, reverse_line(L40_438_9))
% 293.42/42.85
% 293.42/42.85 [11733] CLOSURE : ~left_apart_point(A39_438_9, L40_438_9)
% 293.42/42.85
% 293.42/42.85 [9242] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85 -> [9262] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.85 -> [9263] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [9263] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [9262] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.85
% 293.42/42.85 [477] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.85 -> [1034] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.85
% 293.42/42.85 [1034] 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))))
% 293.42/42.85 -> [1333] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.85
% 293.42/42.85 [1333] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.85 -> [1336] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.85 -> [1337] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.85
% 293.42/42.85 [1336] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.85
% 293.42/42.85 [1337] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.85 -> [3870] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.85 -> [3871] distinct_points(skolem_C8282, skolem_B8181)
% 293.42/42.85
% 293.42/42.85 [3870] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.85
% 293.42/42.85 [3871] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.85 -> [5315] ~distinct_lines(N27_146_3, N27_146_3)
% 293.42/42.85
% 293.42/42.85 [5315] 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))))
% 293.42/42.85 -> [5345] (distinct_lines(N27_146_3, N27_146_3) => (distinct_lines(N27_146_3, N27_146_3) | distinct_lines(N27_146_3, N27_146_3)))
% 293.42/42.85
% 293.42/42.85 [5345] BETA_IMPLY : (distinct_lines(N27_146_3, N27_146_3) => (distinct_lines(N27_146_3, N27_146_3) | distinct_lines(N27_146_3, N27_146_3)))
% 293.42/42.85 -> [5348] ~distinct_lines(N27_146_3, N27_146_3)
% 293.42/42.85 -> [5349] (distinct_lines(N27_146_3, N27_146_3) | distinct_lines(N27_146_3, N27_146_3))
% 293.42/42.85
% 293.42/42.85 [5349] BETA_OR : (distinct_lines(N27_146_3, N27_146_3) | distinct_lines(N27_146_3, N27_146_3))
% 293.42/42.85 -> [5353] distinct_lines(N27_146_3, N27_146_3)
% 293.42/42.85 -> [5354] distinct_lines(N27_146_3, N27_146_3)
% 293.42/42.85
% 293.42/42.85 [5354] CLOSURE : distinct_lines(N27_146_3, N27_146_3)
% 293.42/42.85
% 293.42/42.85 [5353] CLOSURE : distinct_lines(N27_146_3, N27_146_3)
% 293.42/42.85
% 293.42/42.85 [5348] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.85 -> [5425] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [5425] 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))))
% 293.42/42.85 -> [5511] (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))))
% 293.42/42.85
% 293.42/42.85 [5511] 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))))
% 293.42/42.85 -> [5514] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85 -> [5515] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.85
% 293.42/42.85 [5514] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [5515] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.85 -> [10065] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85 -> [10066] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [10066] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [10065] 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))))))
% 293.42/42.85 -> [12292] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_177_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_177_6))) | (unequally_directed_lines(skolem_N7979, N34_177_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_177_6)))))
% 293.42/42.85
% 293.42/42.85 [12292] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_177_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_177_6))) | (unequally_directed_lines(skolem_N7979, N34_177_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_177_6)))))
% 293.42/42.85 -> [12293] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85 -> [12294] ((unequally_directed_lines(skolem_M7878, N34_177_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_177_6))) | (unequally_directed_lines(skolem_N7979, N34_177_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_177_6))))
% 293.42/42.85
% 293.42/42.85 [12293] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85 -> [12850] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.85 -> [12851] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [12851] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [12850] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.85
% 293.42/42.85 [12294] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_177_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_177_6))) | (unequally_directed_lines(skolem_N7979, N34_177_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_177_6))))
% 293.42/42.85 -> [22986] (unequally_directed_lines(skolem_M7878, N34_177_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_177_6)))
% 293.42/42.85 -> [22987] (unequally_directed_lines(skolem_N7979, N34_177_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_177_6)))
% 293.42/42.85
% 293.42/42.85 [22987] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_177_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_177_6)))
% 293.42/42.85 -> [22991] unequally_directed_lines(skolem_N7979, N34_177_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_177_6))
% 293.42/42.85
% 293.42/42.85 [22991] 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)))))
% 293.42/42.85 -> [23074] ((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)))))
% 293.42/42.85
% 293.42/42.85 [23074] 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)))))
% 293.42/42.85 -> [23076] ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.85 -> [23077] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))
% 293.42/42.85
% 293.42/42.85 [23076] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.85 -> [23177] ~line(skolem_L7777)
% 293.42/42.85 -> [23178] ~line(line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.85
% 293.42/42.85 [23178] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [23555] ((unequally_directed_lines(skolem_N7979, M38_968_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_968_8))) => (left_convergent_lines(skolem_N7979, M38_968_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_968_8))))
% 293.42/42.85
% 293.42/42.85 [23555] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_968_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_968_8))) => (left_convergent_lines(skolem_N7979, M38_968_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_968_8))))
% 293.42/42.85 -> [23556] ~(unequally_directed_lines(skolem_N7979, M38_968_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_968_8)))
% 293.42/42.85 -> [23557] (left_convergent_lines(skolem_N7979, M38_968_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_968_8)))
% 293.42/42.85
% 293.42/42.85 [23556] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_968_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_968_8)))
% 293.42/42.85 -> [23574] ~unequally_directed_lines(skolem_N7979, M38_968_8)
% 293.42/42.85 -> [23575] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_968_8))
% 293.42/42.85
% 293.42/42.85 [23575] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_968_8))
% 293.42/42.85
% 293.42/42.85 [23574] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_968_8)
% 293.42/42.85
% 293.42/42.85 [23557] BETA_OR : (left_convergent_lines(skolem_N7979, M38_968_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_968_8)))
% 293.42/42.85 -> [23563] left_convergent_lines(skolem_N7979, M38_968_8)
% 293.42/42.85 -> [23564] left_convergent_lines(skolem_N7979, reverse_line(M38_968_8))
% 293.42/42.85
% 293.42/42.85 [23564] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [23606] ~(left_apart_point(A39_1903_9, L40_1903_9) | left_apart_point(A39_1903_9, reverse_line(L40_1903_9)))
% 293.42/42.85
% 293.42/42.85 [23606] ALPHA_NOT_OR : ~(left_apart_point(A39_1903_9, L40_1903_9) | left_apart_point(A39_1903_9, reverse_line(L40_1903_9)))
% 293.42/42.85 -> [23608] ~left_apart_point(A39_1903_9, L40_1903_9), ~left_apart_point(A39_1903_9, reverse_line(L40_1903_9))
% 293.42/42.85
% 293.42/42.85 [23608] CLOSURE : ~left_apart_point(A39_1903_9, L40_1903_9)
% 293.42/42.85
% 293.42/42.85 [23563] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [23614] ~(left_apart_point(A39_1904_9, L40_1904_9) | left_apart_point(A39_1904_9, reverse_line(L40_1904_9)))
% 293.42/42.85
% 293.42/42.85 [23614] ALPHA_NOT_OR : ~(left_apart_point(A39_1904_9, L40_1904_9) | left_apart_point(A39_1904_9, reverse_line(L40_1904_9)))
% 293.42/42.85 -> [23616] ~left_apart_point(A39_1904_9, L40_1904_9), ~left_apart_point(A39_1904_9, reverse_line(L40_1904_9))
% 293.42/42.85
% 293.42/42.85 [23616] CLOSURE : ~left_apart_point(A39_1904_9, L40_1904_9)
% 293.42/42.85
% 293.42/42.85 [23177] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [23419] ((unequally_directed_lines(skolem_N7979, M38_961_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_961_8))) => (left_convergent_lines(skolem_N7979, M38_961_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_961_8))))
% 293.42/42.85
% 293.42/42.85 [23419] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_961_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_961_8))) => (left_convergent_lines(skolem_N7979, M38_961_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_961_8))))
% 293.42/42.85 -> [23420] ~(unequally_directed_lines(skolem_N7979, M38_961_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_961_8)))
% 293.42/42.85 -> [23421] (left_convergent_lines(skolem_N7979, M38_961_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_961_8)))
% 293.42/42.85
% 293.42/42.85 [23421] BETA_OR : (left_convergent_lines(skolem_N7979, M38_961_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_961_8)))
% 293.42/42.85 -> [23426] left_convergent_lines(skolem_N7979, M38_961_8)
% 293.42/42.85 -> [23427] left_convergent_lines(skolem_N7979, reverse_line(M38_961_8))
% 293.42/42.85
% 293.42/42.85 [23427] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [23833] ~(left_apart_point(A39_1929_9, L40_1929_9) | left_apart_point(A39_1929_9, reverse_line(L40_1929_9)))
% 293.42/42.85
% 293.42/42.85 [23833] ALPHA_NOT_OR : ~(left_apart_point(A39_1929_9, L40_1929_9) | left_apart_point(A39_1929_9, reverse_line(L40_1929_9)))
% 293.42/42.85 -> [23834] ~left_apart_point(A39_1929_9, L40_1929_9), ~left_apart_point(A39_1929_9, reverse_line(L40_1929_9))
% 293.42/42.85
% 293.42/42.85 [23834] CLOSURE : ~left_apart_point(A39_1929_9, L40_1929_9)
% 293.42/42.85
% 293.42/42.85 [23426] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [23963] ~(left_apart_point(A39_1954_9, L40_1954_9) | left_apart_point(A39_1954_9, reverse_line(L40_1954_9)))
% 293.42/42.85
% 293.42/42.85 [23963] ALPHA_NOT_OR : ~(left_apart_point(A39_1954_9, L40_1954_9) | left_apart_point(A39_1954_9, reverse_line(L40_1954_9)))
% 293.42/42.85 -> [23968] ~left_apart_point(A39_1954_9, L40_1954_9), ~left_apart_point(A39_1954_9, reverse_line(L40_1954_9))
% 293.42/42.85
% 293.42/42.85 [23968] CLOSURE : ~left_apart_point(A39_1954_9, L40_1954_9)
% 293.42/42.85
% 293.42/42.85 [23420] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_961_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_961_8)))
% 293.42/42.85 -> [23477] ~unequally_directed_lines(skolem_N7979, M38_961_8)
% 293.42/42.85 -> [23478] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_961_8))
% 293.42/42.85
% 293.42/42.85 [23478] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_961_8))
% 293.42/42.85
% 293.42/42.85 [23477] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_961_8)
% 293.42/42.85
% 293.42/42.85 [23077] 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))))
% 293.42/42.85 -> [23078] unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.85 -> [23079] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.85
% 293.42/42.85 [23078] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.85
% 293.42/42.85 [23079] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [24139] ((unequally_directed_lines(skolem_N7979, M38_1012_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1012_8))) => (left_convergent_lines(skolem_N7979, M38_1012_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1012_8))))
% 293.42/42.85
% 293.42/42.85 [24139] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1012_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1012_8))) => (left_convergent_lines(skolem_N7979, M38_1012_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1012_8))))
% 293.42/42.85 -> [24140] ~(unequally_directed_lines(skolem_N7979, M38_1012_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1012_8)))
% 293.42/42.85 -> [24141] (left_convergent_lines(skolem_N7979, M38_1012_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1012_8)))
% 293.42/42.85
% 293.42/42.85 [24140] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1012_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1012_8)))
% 293.42/42.85 -> [24167] ~unequally_directed_lines(skolem_N7979, M38_1012_8)
% 293.42/42.85 -> [24168] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1012_8))
% 293.42/42.85
% 293.42/42.85 [24168] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1012_8))
% 293.42/42.85
% 293.42/42.85 [24167] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1012_8)
% 293.42/42.85
% 293.42/42.85 [24141] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1012_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1012_8)))
% 293.42/42.85 -> [24148] left_convergent_lines(skolem_N7979, M38_1012_8)
% 293.42/42.85 -> [24149] left_convergent_lines(skolem_N7979, reverse_line(M38_1012_8))
% 293.42/42.85
% 293.42/42.85 [24149] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [24206] ~(left_apart_point(A39_1992_9, L40_1992_9) | left_apart_point(A39_1992_9, reverse_line(L40_1992_9)))
% 293.42/42.85
% 293.42/42.85 [24206] ALPHA_NOT_OR : ~(left_apart_point(A39_1992_9, L40_1992_9) | left_apart_point(A39_1992_9, reverse_line(L40_1992_9)))
% 293.42/42.85 -> [24209] ~left_apart_point(A39_1992_9, L40_1992_9), ~left_apart_point(A39_1992_9, reverse_line(L40_1992_9))
% 293.42/42.85
% 293.42/42.85 [24209] CLOSURE : ~left_apart_point(A39_1992_9, L40_1992_9)
% 293.42/42.85
% 293.42/42.85 [24148] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [24217] ~(left_apart_point(A39_1994_9, L40_1994_9) | left_apart_point(A39_1994_9, reverse_line(L40_1994_9)))
% 293.42/42.85
% 293.42/42.85 [24217] ALPHA_NOT_OR : ~(left_apart_point(A39_1994_9, L40_1994_9) | left_apart_point(A39_1994_9, reverse_line(L40_1994_9)))
% 293.42/42.85 -> [24219] ~left_apart_point(A39_1994_9, L40_1994_9), ~left_apart_point(A39_1994_9, reverse_line(L40_1994_9))
% 293.42/42.85
% 293.42/42.85 [24219] CLOSURE : ~left_apart_point(A39_1994_9, L40_1994_9)
% 293.42/42.85
% 293.42/42.85 [22986] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_177_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_177_6)))
% 293.42/42.85 -> [23013] unequally_directed_lines(skolem_M7878, N34_177_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_177_6))
% 293.42/42.85
% 293.42/42.85 [23013] 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)))))
% 293.42/42.85 -> [23184] ((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)))))
% 293.42/42.85
% 293.42/42.85 [23184] 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)))))
% 293.42/42.85 -> [23186] ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.85 -> [23187] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))
% 293.42/42.85
% 293.42/42.85 [23186] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.85 -> [23243] ~line(skolem_L7777)
% 293.42/42.85 -> [23244] ~line(line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.85
% 293.42/42.85 [23244] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [23354] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.85
% 293.42/42.85 [23354] 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))))
% 293.42/42.85 -> [23355] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [23356] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85
% 293.42/42.85 [23355] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [23387] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85 -> [23388] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [23388] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [23387] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [23356] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [23358] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85 -> [23359] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [23359] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [23449] ~(left_apart_point(A39_1876_9, L40_1876_9) | left_apart_point(A39_1876_9, reverse_line(L40_1876_9)))
% 293.42/42.85
% 293.42/42.85 [23449] ALPHA_NOT_OR : ~(left_apart_point(A39_1876_9, L40_1876_9) | left_apart_point(A39_1876_9, reverse_line(L40_1876_9)))
% 293.42/42.85 -> [23450] ~left_apart_point(A39_1876_9, L40_1876_9), ~left_apart_point(A39_1876_9, reverse_line(L40_1876_9))
% 293.42/42.85
% 293.42/42.85 [23450] CLOSURE : ~left_apart_point(A39_1876_9, L40_1876_9)
% 293.42/42.85
% 293.42/42.85 [23358] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [23471] ~(left_apart_point(A39_1880_9, L40_1880_9) | left_apart_point(A39_1880_9, reverse_line(L40_1880_9)))
% 293.42/42.85
% 293.42/42.85 [23471] ALPHA_NOT_OR : ~(left_apart_point(A39_1880_9, L40_1880_9) | left_apart_point(A39_1880_9, reverse_line(L40_1880_9)))
% 293.42/42.85 -> [23473] ~left_apart_point(A39_1880_9, L40_1880_9), ~left_apart_point(A39_1880_9, reverse_line(L40_1880_9))
% 293.42/42.85
% 293.42/42.85 [23473] CLOSURE : ~left_apart_point(A39_1880_9, L40_1880_9)
% 293.42/42.85
% 293.42/42.85 [23243] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [23410] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.85
% 293.42/42.85 [23410] 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))))
% 293.42/42.85 -> [23411] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [23412] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85
% 293.42/42.85 [23411] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [23422] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85 -> [23423] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [23423] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [23422] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [23412] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [23415] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85 -> [23416] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [23415] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [23491] ~(left_apart_point(A39_1884_9, L40_1884_9) | left_apart_point(A39_1884_9, reverse_line(L40_1884_9)))
% 293.42/42.85
% 293.42/42.85 [23491] ALPHA_NOT_OR : ~(left_apart_point(A39_1884_9, L40_1884_9) | left_apart_point(A39_1884_9, reverse_line(L40_1884_9)))
% 293.42/42.85 -> [23492] ~left_apart_point(A39_1884_9, L40_1884_9), ~left_apart_point(A39_1884_9, reverse_line(L40_1884_9))
% 293.42/42.85
% 293.42/42.85 [23492] CLOSURE : ~left_apart_point(A39_1884_9, L40_1884_9)
% 293.42/42.85
% 293.42/42.85 [23416] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [23494] ~(left_apart_point(A39_1886_9, L40_1886_9) | left_apart_point(A39_1886_9, reverse_line(L40_1886_9)))
% 293.42/42.85
% 293.42/42.85 [23494] ALPHA_NOT_OR : ~(left_apart_point(A39_1886_9, L40_1886_9) | left_apart_point(A39_1886_9, reverse_line(L40_1886_9)))
% 293.42/42.85 -> [23498] ~left_apart_point(A39_1886_9, L40_1886_9), ~left_apart_point(A39_1886_9, reverse_line(L40_1886_9))
% 293.42/42.85
% 293.42/42.85 [23498] CLOSURE : ~left_apart_point(A39_1886_9, L40_1886_9)
% 293.42/42.85
% 293.42/42.85 [23187] 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))))
% 293.42/42.85 -> [23189] unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.85 -> [23190] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.85
% 293.42/42.85 [23189] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.85
% 293.42/42.85 [23190] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [23779] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.85
% 293.42/42.85 [23779] 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))))
% 293.42/42.85 -> [23784] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [23785] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85
% 293.42/42.85 [23784] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [23818] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85 -> [23819] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [23819] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [23818] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [23785] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [23788] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85 -> [23789] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [23789] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [23840] ~(left_apart_point(A39_1932_9, L40_1932_9) | left_apart_point(A39_1932_9, reverse_line(L40_1932_9)))
% 293.42/42.85
% 293.42/42.85 [23840] ALPHA_NOT_OR : ~(left_apart_point(A39_1932_9, L40_1932_9) | left_apart_point(A39_1932_9, reverse_line(L40_1932_9)))
% 293.42/42.85 -> [23842] ~left_apart_point(A39_1932_9, L40_1932_9), ~left_apart_point(A39_1932_9, reverse_line(L40_1932_9))
% 293.42/42.85
% 293.42/42.85 [23842] CLOSURE : ~left_apart_point(A39_1932_9, L40_1932_9)
% 293.42/42.85
% 293.42/42.85 [23788] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [23848] ~(left_apart_point(A39_1934_9, L40_1934_9) | left_apart_point(A39_1934_9, reverse_line(L40_1934_9)))
% 293.42/42.85
% 293.42/42.85 [23848] ALPHA_NOT_OR : ~(left_apart_point(A39_1934_9, L40_1934_9) | left_apart_point(A39_1934_9, reverse_line(L40_1934_9)))
% 293.42/42.85 -> [23849] ~left_apart_point(A39_1934_9, L40_1934_9), ~left_apart_point(A39_1934_9, reverse_line(L40_1934_9))
% 293.42/42.85
% 293.42/42.85 [23849] CLOSURE : ~left_apart_point(A39_1934_9, L40_1934_9)
% 293.42/42.85
% 293.42/42.85 [467] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.85 -> [915] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.85
% 293.42/42.85 [915] 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))))
% 293.42/42.85 -> [1346] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.85
% 293.42/42.85 [1346] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.85 -> [1351] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.85 -> [1352] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.85
% 293.42/42.85 [1351] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.85
% 293.42/42.85 [1352] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.85 -> [5335] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.85 -> [5336] distinct_points(skolem_C8282, skolem_B8181)
% 293.42/42.85
% 293.42/42.85 [5335] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.85
% 293.42/42.85 [5336] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.85 -> [6334] ~distinct_lines(N27_201_3, N27_201_3)
% 293.42/42.85
% 293.42/42.85 [6334] 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))))
% 293.42/42.85 -> [6392] (distinct_lines(N27_201_3, N27_201_3) => (distinct_lines(N27_201_3, N27_201_3) | distinct_lines(N27_201_3, N27_201_3)))
% 293.42/42.85
% 293.42/42.85 [6392] BETA_IMPLY : (distinct_lines(N27_201_3, N27_201_3) => (distinct_lines(N27_201_3, N27_201_3) | distinct_lines(N27_201_3, N27_201_3)))
% 293.42/42.85 -> [6393] ~distinct_lines(N27_201_3, N27_201_3)
% 293.42/42.85 -> [6394] (distinct_lines(N27_201_3, N27_201_3) | distinct_lines(N27_201_3, N27_201_3))
% 293.42/42.85
% 293.42/42.85 [6394] BETA_OR : (distinct_lines(N27_201_3, N27_201_3) | distinct_lines(N27_201_3, N27_201_3))
% 293.42/42.85 -> [6395] distinct_lines(N27_201_3, N27_201_3)
% 293.42/42.85 -> [6396] distinct_lines(N27_201_3, N27_201_3)
% 293.42/42.85
% 293.42/42.85 [6395] CLOSURE : distinct_lines(N27_201_3, N27_201_3)
% 293.42/42.85
% 293.42/42.85 [6396] CLOSURE : distinct_lines(N27_201_3, N27_201_3)
% 293.42/42.85
% 293.42/42.85 [6393] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.85 -> [6520] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [6520] 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))))
% 293.42/42.85 -> [6609] (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))))
% 293.42/42.85
% 293.42/42.85 [6609] 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))))
% 293.42/42.85 -> [6610] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85 -> [6611] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.85
% 293.42/42.85 [6610] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [6611] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.85 -> [9196] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85 -> [9197] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [9197] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [9196] 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))))))
% 293.42/42.85 -> [18602] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_247_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_247_6))) | (unequally_directed_lines(skolem_N7979, N34_247_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_247_6)))))
% 293.42/42.85
% 293.42/42.85 [18602] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_247_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_247_6))) | (unequally_directed_lines(skolem_N7979, N34_247_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_247_6)))))
% 293.42/42.85 -> [18603] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85 -> [18604] ((unequally_directed_lines(skolem_M7878, N34_247_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_247_6))) | (unequally_directed_lines(skolem_N7979, N34_247_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_247_6))))
% 293.42/42.85
% 293.42/42.85 [18603] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.85 -> [18620] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.85 -> [18621] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [18621] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.85
% 293.42/42.85 [18620] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.85
% 293.42/42.85 [18604] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_247_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_247_6))) | (unequally_directed_lines(skolem_N7979, N34_247_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_247_6))))
% 293.42/42.85 -> [22203] (unequally_directed_lines(skolem_M7878, N34_247_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_247_6)))
% 293.42/42.85 -> [22204] (unequally_directed_lines(skolem_N7979, N34_247_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_247_6)))
% 293.42/42.85
% 293.42/42.85 [22203] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_247_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_247_6)))
% 293.42/42.85 -> [22242] unequally_directed_lines(skolem_M7878, N34_247_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_247_6))
% 293.42/42.85
% 293.42/42.85 [22242] 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)))))
% 293.42/42.85 -> [22603] ((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)))))
% 293.42/42.85
% 293.42/42.85 [22603] 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)))))
% 293.42/42.85 -> [22606] ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.85 -> [22607] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))
% 293.42/42.85
% 293.42/42.85 [22606] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.85 -> [22681] ~line(skolem_L7777)
% 293.42/42.85 -> [22682] ~line(line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.85
% 293.42/42.85 [22681] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [22893] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.85
% 293.42/42.85 [22893] 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))))
% 293.42/42.85 -> [22898] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [22899] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85
% 293.42/42.85 [22898] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [23036] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85 -> [23037] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [23037] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [23036] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85
% 293.42/42.85 [22899] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.85 -> [22904] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.85 -> [22905] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.85
% 293.42/42.85 [22904] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [23118] ~(left_apart_point(A39_1821_9, L40_1821_9) | left_apart_point(A39_1821_9, reverse_line(L40_1821_9)))
% 293.42/42.85
% 293.42/42.85 [23118] ALPHA_NOT_OR : ~(left_apart_point(A39_1821_9, L40_1821_9) | left_apart_point(A39_1821_9, reverse_line(L40_1821_9)))
% 293.42/42.85 -> [23120] ~left_apart_point(A39_1821_9, L40_1821_9), ~left_apart_point(A39_1821_9, reverse_line(L40_1821_9))
% 293.42/42.85
% 293.42/42.85 [23120] CLOSURE : ~left_apart_point(A39_1821_9, L40_1821_9)
% 293.42/42.85
% 293.42/42.85 [22905] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.85 -> [23326] ~(left_apart_point(A39_1865_9, L40_1865_9) | left_apart_point(A39_1865_9, reverse_line(L40_1865_9)))
% 293.42/42.85
% 293.42/42.85 [23326] ALPHA_NOT_OR : ~(left_apart_point(A39_1865_9, L40_1865_9) | left_apart_point(A39_1865_9, reverse_line(L40_1865_9)))
% 293.42/42.85 -> [23327] ~left_apart_point(A39_1865_9, L40_1865_9), ~left_apart_point(A39_1865_9, reverse_line(L40_1865_9))
% 293.42/42.85
% 293.42/42.85 [23327] CLOSURE : ~left_apart_point(A39_1865_9, L40_1865_9)
% 293.42/42.85
% 293.42/42.85 [22682] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.85 -> [22914] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.86
% 293.42/42.86 [22914] 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))))
% 293.42/42.86 -> [22915] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [22916] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86
% 293.42/42.86 [22915] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [23105] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.86 -> [23106] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [23106] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [23105] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [22916] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [22925] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.86 -> [22926] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [22926] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [23287] ~(left_apart_point(A39_1854_9, L40_1854_9) | left_apart_point(A39_1854_9, reverse_line(L40_1854_9)))
% 293.42/42.86
% 293.42/42.86 [23287] ALPHA_NOT_OR : ~(left_apart_point(A39_1854_9, L40_1854_9) | left_apart_point(A39_1854_9, reverse_line(L40_1854_9)))
% 293.42/42.86 -> [23289] ~left_apart_point(A39_1854_9, L40_1854_9), ~left_apart_point(A39_1854_9, reverse_line(L40_1854_9))
% 293.42/42.86
% 293.42/42.86 [23289] CLOSURE : ~left_apart_point(A39_1854_9, L40_1854_9)
% 293.42/42.86
% 293.42/42.86 [22925] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [23328] ~(left_apart_point(A39_1866_9, L40_1866_9) | left_apart_point(A39_1866_9, reverse_line(L40_1866_9)))
% 293.42/42.86
% 293.42/42.86 [23328] ALPHA_NOT_OR : ~(left_apart_point(A39_1866_9, L40_1866_9) | left_apart_point(A39_1866_9, reverse_line(L40_1866_9)))
% 293.42/42.86 -> [23329] ~left_apart_point(A39_1866_9, L40_1866_9), ~left_apart_point(A39_1866_9, reverse_line(L40_1866_9))
% 293.42/42.86
% 293.42/42.86 [23329] CLOSURE : ~left_apart_point(A39_1866_9, L40_1866_9)
% 293.42/42.86
% 293.42/42.86 [22607] 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))))
% 293.42/42.86 -> [22613] unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.86 -> [22614] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.86
% 293.42/42.86 [22613] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.86
% 293.42/42.86 [22614] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [25680] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.86
% 293.42/42.86 [25680] 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))))
% 293.42/42.86 -> [25683] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [25684] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86
% 293.42/42.86 [25684] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [25689] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.86 -> [25690] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [25690] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [25716] ~(left_apart_point(A39_2221_9, L40_2221_9) | left_apart_point(A39_2221_9, reverse_line(L40_2221_9)))
% 293.42/42.86
% 293.42/42.86 [25716] ALPHA_NOT_OR : ~(left_apart_point(A39_2221_9, L40_2221_9) | left_apart_point(A39_2221_9, reverse_line(L40_2221_9)))
% 293.42/42.86 -> [25721] ~left_apart_point(A39_2221_9, L40_2221_9), ~left_apart_point(A39_2221_9, reverse_line(L40_2221_9))
% 293.42/42.86
% 293.42/42.86 [25721] CLOSURE : ~left_apart_point(A39_2221_9, L40_2221_9)
% 293.42/42.86
% 293.42/42.86 [25689] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [25723] ~(left_apart_point(A39_2223_9, L40_2223_9) | left_apart_point(A39_2223_9, reverse_line(L40_2223_9)))
% 293.42/42.86
% 293.42/42.86 [25723] ALPHA_NOT_OR : ~(left_apart_point(A39_2223_9, L40_2223_9) | left_apart_point(A39_2223_9, reverse_line(L40_2223_9)))
% 293.42/42.86 -> [25727] ~left_apart_point(A39_2223_9, L40_2223_9), ~left_apart_point(A39_2223_9, reverse_line(L40_2223_9))
% 293.42/42.86
% 293.42/42.86 [25727] CLOSURE : ~left_apart_point(A39_2223_9, L40_2223_9)
% 293.42/42.86
% 293.42/42.86 [25683] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [25699] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.86 -> [25700] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [25700] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [25699] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [22204] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_247_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_247_6)))
% 293.42/42.86 -> [22207] unequally_directed_lines(skolem_N7979, N34_247_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_247_6))
% 293.42/42.86
% 293.42/42.86 [22207] 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)))))
% 293.42/42.86 -> [22563] ((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))))
% 293.42/42.86
% 293.42/42.86 [22563] 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))))
% 293.42/42.86 -> [22564] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.86 -> [22565] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.86
% 293.42/42.86 [22564] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.86 -> [22619] ~line(reverse_line(skolem_N7979))
% 293.42/42.86 -> [22620] ~line(skolem_N7979)
% 293.42/42.86
% 293.42/42.86 [22620] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [24185] ((unequally_directed_lines(skolem_N7979, M38_1018_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1018_8))) => (left_convergent_lines(skolem_N7979, M38_1018_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1018_8))))
% 293.42/42.86
% 293.42/42.86 [24185] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1018_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1018_8))) => (left_convergent_lines(skolem_N7979, M38_1018_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1018_8))))
% 293.42/42.86 -> [24190] ~(unequally_directed_lines(skolem_N7979, M38_1018_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1018_8)))
% 293.42/42.86 -> [24191] (left_convergent_lines(skolem_N7979, M38_1018_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1018_8)))
% 293.42/42.86
% 293.42/42.86 [24191] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1018_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1018_8)))
% 293.42/42.86 -> [24196] left_convergent_lines(skolem_N7979, M38_1018_8)
% 293.42/42.86 -> [24197] left_convergent_lines(skolem_N7979, reverse_line(M38_1018_8))
% 293.42/42.86
% 293.42/42.86 [24197] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [24378] ~(left_apart_point(A39_2021_9, L40_2021_9) | left_apart_point(A39_2021_9, reverse_line(L40_2021_9)))
% 293.42/42.86
% 293.42/42.86 [24378] ALPHA_NOT_OR : ~(left_apart_point(A39_2021_9, L40_2021_9) | left_apart_point(A39_2021_9, reverse_line(L40_2021_9)))
% 293.42/42.86 -> [24382] ~left_apart_point(A39_2021_9, L40_2021_9), ~left_apart_point(A39_2021_9, reverse_line(L40_2021_9))
% 293.42/42.86
% 293.42/42.86 [24382] CLOSURE : ~left_apart_point(A39_2021_9, L40_2021_9)
% 293.42/42.86
% 293.42/42.86 [24196] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [24428] ~(left_apart_point(A39_2027_9, L40_2027_9) | left_apart_point(A39_2027_9, reverse_line(L40_2027_9)))
% 293.42/42.86
% 293.42/42.86 [24428] ALPHA_NOT_OR : ~(left_apart_point(A39_2027_9, L40_2027_9) | left_apart_point(A39_2027_9, reverse_line(L40_2027_9)))
% 293.42/42.86 -> [24432] ~left_apart_point(A39_2027_9, L40_2027_9), ~left_apart_point(A39_2027_9, reverse_line(L40_2027_9))
% 293.42/42.86
% 293.42/42.86 [24432] CLOSURE : ~left_apart_point(A39_2027_9, L40_2027_9)
% 293.42/42.86
% 293.42/42.86 [24190] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1018_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1018_8)))
% 293.42/42.86 -> [24262] ~unequally_directed_lines(skolem_N7979, M38_1018_8)
% 293.42/42.86 -> [24263] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1018_8))
% 293.42/42.86
% 293.42/42.86 [24263] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1018_8))
% 293.42/42.86
% 293.42/42.86 [24262] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1018_8)
% 293.42/42.86
% 293.42/42.86 [22619] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [22822] ((unequally_directed_lines(skolem_N7979, M38_918_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_918_8))) => (left_convergent_lines(skolem_N7979, M38_918_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_918_8))))
% 293.42/42.86
% 293.42/42.86 [22822] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_918_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_918_8))) => (left_convergent_lines(skolem_N7979, M38_918_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_918_8))))
% 293.42/42.86 -> [22823] ~(unequally_directed_lines(skolem_N7979, M38_918_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_918_8)))
% 293.42/42.86 -> [22824] (left_convergent_lines(skolem_N7979, M38_918_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_918_8)))
% 293.42/42.86
% 293.42/42.86 [22823] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_918_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_918_8)))
% 293.42/42.86 -> [22936] ~unequally_directed_lines(skolem_N7979, M38_918_8)
% 293.42/42.86 -> [22937] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_918_8))
% 293.42/42.86
% 293.42/42.86 [22936] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_918_8)
% 293.42/42.86
% 293.42/42.86 [22937] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_918_8))
% 293.42/42.86
% 293.42/42.86 [22824] BETA_OR : (left_convergent_lines(skolem_N7979, M38_918_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_918_8)))
% 293.42/42.86 -> [22831] left_convergent_lines(skolem_N7979, M38_918_8)
% 293.42/42.86 -> [22832] left_convergent_lines(skolem_N7979, reverse_line(M38_918_8))
% 293.42/42.86
% 293.42/42.86 [22831] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [23207] ~(left_apart_point(A39_1840_9, L40_1840_9) | left_apart_point(A39_1840_9, reverse_line(L40_1840_9)))
% 293.42/42.86
% 293.42/42.86 [23207] ALPHA_NOT_OR : ~(left_apart_point(A39_1840_9, L40_1840_9) | left_apart_point(A39_1840_9, reverse_line(L40_1840_9)))
% 293.42/42.86 -> [23208] ~left_apart_point(A39_1840_9, L40_1840_9), ~left_apart_point(A39_1840_9, reverse_line(L40_1840_9))
% 293.42/42.86
% 293.42/42.86 [23208] CLOSURE : ~left_apart_point(A39_1840_9, L40_1840_9)
% 293.42/42.86
% 293.42/42.86 [22832] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [25414] ~(left_apart_point(A39_2166_9, L40_2166_9) | left_apart_point(A39_2166_9, reverse_line(L40_2166_9)))
% 293.42/42.86
% 293.42/42.86 [25414] ALPHA_NOT_OR : ~(left_apart_point(A39_2166_9, L40_2166_9) | left_apart_point(A39_2166_9, reverse_line(L40_2166_9)))
% 293.42/42.86 -> [25415] ~left_apart_point(A39_2166_9, L40_2166_9), ~left_apart_point(A39_2166_9, reverse_line(L40_2166_9))
% 293.42/42.86
% 293.42/42.86 [25415] CLOSURE : ~left_apart_point(A39_2166_9, L40_2166_9)
% 293.42/42.86
% 293.42/42.86 [22565] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.86 -> [22568] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 293.42/42.86 -> [22569] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [22569] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [22568] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [26204] ((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))))
% 293.42/42.86
% 293.42/42.86 [26204] 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))))
% 293.42/42.86 -> [26205] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [26206] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86
% 293.42/42.86 [26206] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [26209] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86 -> [26210] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [26210] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [26228] ~(left_apart_point(A39_2307_9, L40_2307_9) | left_apart_point(A39_2307_9, reverse_line(L40_2307_9)))
% 293.42/42.86
% 293.42/42.86 [26228] ALPHA_NOT_OR : ~(left_apart_point(A39_2307_9, L40_2307_9) | left_apart_point(A39_2307_9, reverse_line(L40_2307_9)))
% 293.42/42.86 -> [26231] ~left_apart_point(A39_2307_9, L40_2307_9), ~left_apart_point(A39_2307_9, reverse_line(L40_2307_9))
% 293.42/42.86
% 293.42/42.86 [26231] CLOSURE : ~left_apart_point(A39_2307_9, L40_2307_9)
% 293.42/42.86
% 293.42/42.86 [26209] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [26233] ~(left_apart_point(A39_2308_9, L40_2308_9) | left_apart_point(A39_2308_9, reverse_line(L40_2308_9)))
% 293.42/42.86
% 293.42/42.86 [26233] ALPHA_NOT_OR : ~(left_apart_point(A39_2308_9, L40_2308_9) | left_apart_point(A39_2308_9, reverse_line(L40_2308_9)))
% 293.42/42.86 -> [26237] ~left_apart_point(A39_2308_9, L40_2308_9), ~left_apart_point(A39_2308_9, reverse_line(L40_2308_9))
% 293.42/42.86
% 293.42/42.86 [26237] CLOSURE : ~left_apart_point(A39_2308_9, L40_2308_9)
% 293.42/42.86
% 293.42/42.86 [26205] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [26212] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86 -> [26213] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [26213] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [26212] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86
% 293.42/42.86 [231] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.86 -> [241] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.86
% 293.42/42.86 [241] 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)))
% 293.42/42.86 -> [266] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 293.42/42.86 -> [267] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [267] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.86 -> [368] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.42/42.86 -> [369] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [369] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.86 -> [392] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.86
% 293.42/42.86 [392] 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))))
% 293.42/42.86 -> [763] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.86
% 293.42/42.86 [763] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.86 -> [764] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.86 -> [765] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.86
% 293.42/42.86 [764] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.86
% 293.42/42.86 [765] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.86 -> [2547] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.86 -> [2548] distinct_points(skolem_C8282, skolem_B8181)
% 293.42/42.86
% 293.42/42.86 [2547] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.86
% 293.42/42.86 [2548] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.86 -> [2622] ~distinct_lines(N27_28_3, N27_28_3)
% 293.42/42.86
% 293.42/42.86 [2622] 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))))
% 293.42/42.86 -> [2640] (distinct_lines(N27_28_3, N27_28_3) => (distinct_lines(N27_28_3, N27_28_3) | distinct_lines(N27_28_3, N27_28_3)))
% 293.42/42.86
% 293.42/42.86 [2640] 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)))
% 293.42/42.86 -> [2643] ~distinct_lines(N27_28_3, N27_28_3)
% 293.42/42.86 -> [2644] (distinct_lines(N27_28_3, N27_28_3) | distinct_lines(N27_28_3, N27_28_3))
% 293.42/42.86
% 293.42/42.86 [2644] BETA_OR : (distinct_lines(N27_28_3, N27_28_3) | distinct_lines(N27_28_3, N27_28_3))
% 293.42/42.86 -> [2655] distinct_lines(N27_28_3, N27_28_3)
% 293.42/42.86 -> [2656] distinct_lines(N27_28_3, N27_28_3)
% 293.42/42.86
% 293.42/42.86 [2656] CLOSURE : distinct_lines(N27_28_3, N27_28_3)
% 293.42/42.86
% 293.42/42.86 [2655] CLOSURE : distinct_lines(N27_28_3, N27_28_3)
% 293.42/42.86
% 293.42/42.86 [2643] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.86 -> [2685] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [2685] 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))))
% 293.42/42.86 -> [2788] (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)))
% 293.42/42.86
% 293.42/42.86 [2788] 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)))
% 293.42/42.86 -> [2790] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86 -> [2791] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [2790] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [2791] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.86 -> [4430] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86 -> [4431] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [4430] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [4431] 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))))))
% 293.42/42.86 -> [6519] ((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)))))
% 293.42/42.86
% 293.42/42.86 [6519] 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)))))
% 293.42/42.86 -> [6522] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [6523] ((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))))
% 293.42/42.86
% 293.42/42.86 [6522] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [6564] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86 -> [6565] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [6565] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [6564] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86
% 293.42/42.86 [6523] 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))))
% 293.42/42.86 -> [13848] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [13849] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.86
% 293.42/42.86 [13848] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [13857] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [13857] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [13849] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [13852] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [13852] 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)))))
% 293.42/42.86 -> [13906] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.86
% 293.42/42.86 [13906] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.86 -> [13907] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.86 -> [13908] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.86
% 293.42/42.86 [13907] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.86 -> [13924] ~line(skolem_M7878)
% 293.42/42.86 -> [13925] ~line(skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [13925] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [13993] ((unequally_directed_lines(skolem_N7979, M38_367_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_367_8))) => (left_convergent_lines(skolem_N7979, M38_367_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_367_8))))
% 293.42/42.86
% 293.42/42.86 [13993] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_367_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_367_8))) => (left_convergent_lines(skolem_N7979, M38_367_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_367_8))))
% 293.42/42.86 -> [13996] ~(unequally_directed_lines(skolem_N7979, M38_367_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_367_8)))
% 293.42/42.86 -> [13997] (left_convergent_lines(skolem_N7979, M38_367_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_367_8)))
% 293.42/42.86
% 293.42/42.86 [13996] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_367_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_367_8)))
% 293.42/42.86 -> [14052] ~unequally_directed_lines(skolem_N7979, M38_367_8)
% 293.42/42.86 -> [14053] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_367_8))
% 293.42/42.86
% 293.42/42.86 [14053] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_367_8))
% 293.42/42.86
% 293.42/42.86 [14052] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_367_8)
% 293.42/42.86
% 293.42/42.86 [13997] BETA_OR : (left_convergent_lines(skolem_N7979, M38_367_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_367_8)))
% 293.42/42.86 -> [14003] left_convergent_lines(skolem_N7979, M38_367_8)
% 293.42/42.86 -> [14004] left_convergent_lines(skolem_N7979, reverse_line(M38_367_8))
% 293.42/42.86
% 293.42/42.86 [14004] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [14139] ~(left_apart_point(A39_707_9, L40_707_9) | left_apart_point(A39_707_9, reverse_line(L40_707_9)))
% 293.42/42.86
% 293.42/42.86 [14139] ALPHA_NOT_OR : ~(left_apart_point(A39_707_9, L40_707_9) | left_apart_point(A39_707_9, reverse_line(L40_707_9)))
% 293.42/42.86 -> [14145] ~left_apart_point(A39_707_9, L40_707_9), ~left_apart_point(A39_707_9, reverse_line(L40_707_9))
% 293.42/42.86
% 293.42/42.86 [14145] CLOSURE : ~left_apart_point(A39_707_9, L40_707_9)
% 293.42/42.86
% 293.42/42.86 [14003] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [14213] ~(left_apart_point(A39_719_9, L40_719_9) | left_apart_point(A39_719_9, reverse_line(L40_719_9)))
% 293.42/42.86
% 293.42/42.86 [14213] ALPHA_NOT_OR : ~(left_apart_point(A39_719_9, L40_719_9) | left_apart_point(A39_719_9, reverse_line(L40_719_9)))
% 293.42/42.86 -> [14215] ~left_apart_point(A39_719_9, L40_719_9), ~left_apart_point(A39_719_9, reverse_line(L40_719_9))
% 293.42/42.86
% 293.42/42.86 [14215] CLOSURE : ~left_apart_point(A39_719_9, L40_719_9)
% 293.42/42.86
% 293.42/42.86 [13924] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [14041] ((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))))
% 293.42/42.86
% 293.42/42.86 [14041] 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))))
% 293.42/42.86 -> [14043] ~(unequally_directed_lines(skolem_N7979, M38_371_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_371_8)))
% 293.42/42.86 -> [14044] (left_convergent_lines(skolem_N7979, M38_371_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_371_8)))
% 293.42/42.86
% 293.42/42.86 [14043] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_371_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_371_8)))
% 293.42/42.86 -> [14078] ~unequally_directed_lines(skolem_N7979, M38_371_8)
% 293.42/42.86 -> [14079] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_371_8))
% 293.42/42.86
% 293.42/42.86 [14079] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_371_8))
% 293.42/42.86
% 293.42/42.86 [14078] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_371_8)
% 293.42/42.86
% 293.42/42.86 [14044] BETA_OR : (left_convergent_lines(skolem_N7979, M38_371_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_371_8)))
% 293.42/42.86 -> [14045] left_convergent_lines(skolem_N7979, M38_371_8)
% 293.42/42.86 -> [14046] left_convergent_lines(skolem_N7979, reverse_line(M38_371_8))
% 293.42/42.86
% 293.42/42.86 [14046] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [14206] ~(left_apart_point(A39_717_9, L40_717_9) | left_apart_point(A39_717_9, reverse_line(L40_717_9)))
% 293.42/42.86
% 293.42/42.86 [14206] ALPHA_NOT_OR : ~(left_apart_point(A39_717_9, L40_717_9) | left_apart_point(A39_717_9, reverse_line(L40_717_9)))
% 293.42/42.86 -> [14208] ~left_apart_point(A39_717_9, L40_717_9), ~left_apart_point(A39_717_9, reverse_line(L40_717_9))
% 293.42/42.86
% 293.42/42.86 [14208] CLOSURE : ~left_apart_point(A39_717_9, L40_717_9)
% 293.42/42.86
% 293.42/42.86 [14045] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [14261] ~(left_apart_point(A39_724_9, L40_724_9) | left_apart_point(A39_724_9, reverse_line(L40_724_9)))
% 293.42/42.86
% 293.42/42.86 [14261] ALPHA_NOT_OR : ~(left_apart_point(A39_724_9, L40_724_9) | left_apart_point(A39_724_9, reverse_line(L40_724_9)))
% 293.42/42.86 -> [14262] ~left_apart_point(A39_724_9, L40_724_9), ~left_apart_point(A39_724_9, reverse_line(L40_724_9))
% 293.42/42.86
% 293.42/42.86 [14262] CLOSURE : ~left_apart_point(A39_724_9, L40_724_9)
% 293.42/42.86
% 293.42/42.86 [13908] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [13909] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86 -> [13910] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [13909] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [13910] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [14015] ((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))))
% 293.42/42.86
% 293.42/42.86 [14015] 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))))
% 293.42/42.86 -> [14019] ~(unequally_directed_lines(skolem_N7979, M38_369_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_369_8)))
% 293.42/42.86 -> [14020] (left_convergent_lines(skolem_N7979, M38_369_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_369_8)))
% 293.42/42.86
% 293.42/42.86 [14020] BETA_OR : (left_convergent_lines(skolem_N7979, M38_369_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_369_8)))
% 293.42/42.86 -> [14025] left_convergent_lines(skolem_N7979, M38_369_8)
% 293.42/42.86 -> [14026] left_convergent_lines(skolem_N7979, reverse_line(M38_369_8))
% 293.42/42.86
% 293.42/42.86 [14026] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [14159] ~(left_apart_point(A39_710_9, L40_710_9) | left_apart_point(A39_710_9, reverse_line(L40_710_9)))
% 293.42/42.86
% 293.42/42.86 [14159] ALPHA_NOT_OR : ~(left_apart_point(A39_710_9, L40_710_9) | left_apart_point(A39_710_9, reverse_line(L40_710_9)))
% 293.42/42.86 -> [14163] ~left_apart_point(A39_710_9, L40_710_9), ~left_apart_point(A39_710_9, reverse_line(L40_710_9))
% 293.42/42.86
% 293.42/42.86 [14163] CLOSURE : ~left_apart_point(A39_710_9, L40_710_9)
% 293.42/42.86
% 293.42/42.86 [14025] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [14221] ~(left_apart_point(A39_720_9, L40_720_9) | left_apart_point(A39_720_9, reverse_line(L40_720_9)))
% 293.42/42.86
% 293.42/42.86 [14221] ALPHA_NOT_OR : ~(left_apart_point(A39_720_9, L40_720_9) | left_apart_point(A39_720_9, reverse_line(L40_720_9)))
% 293.42/42.86 -> [14222] ~left_apart_point(A39_720_9, L40_720_9), ~left_apart_point(A39_720_9, reverse_line(L40_720_9))
% 293.42/42.86
% 293.42/42.86 [14222] CLOSURE : ~left_apart_point(A39_720_9, L40_720_9)
% 293.42/42.86
% 293.42/42.86 [14019] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_369_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_369_8)))
% 293.42/42.86 -> [14060] ~unequally_directed_lines(skolem_N7979, M38_369_8)
% 293.42/42.86 -> [14061] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_369_8))
% 293.42/42.86
% 293.42/42.86 [14061] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_369_8))
% 293.42/42.86
% 293.42/42.86 [14060] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_369_8)
% 293.42/42.86
% 293.42/42.86 [368] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.86 -> [529] ~distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.86
% 293.42/42.86 [529] 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))))
% 293.42/42.86 -> [567] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.86
% 293.42/42.86 [567] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.86 -> [570] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.86 -> [571] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.86
% 293.42/42.86 [570] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.86
% 293.42/42.86 [571] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.86 -> [3094] distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.86 -> [3095] distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.86
% 293.42/42.86 [3095] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.86
% 293.42/42.86 [3094] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.86 -> [3218] ~distinct_lines(N27_45_3, N27_45_3)
% 293.42/42.86
% 293.42/42.86 [3218] 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))))
% 293.42/42.86 -> [3238] (distinct_lines(N27_45_3, N27_45_3) => (distinct_lines(N27_45_3, N27_45_3) | distinct_lines(N27_45_3, N27_45_3)))
% 293.42/42.86
% 293.42/42.86 [3238] 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)))
% 293.42/42.86 -> [3243] ~distinct_lines(N27_45_3, N27_45_3)
% 293.42/42.86 -> [3244] (distinct_lines(N27_45_3, N27_45_3) | distinct_lines(N27_45_3, N27_45_3))
% 293.42/42.86
% 293.42/42.86 [3244] BETA_OR : (distinct_lines(N27_45_3, N27_45_3) | distinct_lines(N27_45_3, N27_45_3))
% 293.42/42.86 -> [3250] distinct_lines(N27_45_3, N27_45_3)
% 293.42/42.86 -> [3251] distinct_lines(N27_45_3, N27_45_3)
% 293.42/42.86
% 293.42/42.86 [3251] CLOSURE : distinct_lines(N27_45_3, N27_45_3)
% 293.42/42.86
% 293.42/42.86 [3250] CLOSURE : distinct_lines(N27_45_3, N27_45_3)
% 293.42/42.86
% 293.42/42.86 [3243] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.86 -> [3284] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [3284] 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))))
% 293.42/42.86 -> [3398] (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)))
% 293.42/42.86
% 293.42/42.86 [3398] 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)))
% 293.42/42.86 -> [3399] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86 -> [3400] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [3399] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [3400] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.86 -> [7257] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86 -> [7258] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [7257] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [7258] 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))))))
% 293.42/42.86 -> [9100] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))))
% 293.42/42.86
% 293.42/42.86 [9100] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))))
% 293.42/42.86 -> [9101] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [9102] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.86
% 293.42/42.86 [9101] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [9166] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.86 -> [9167] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [9167] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [9166] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [9102] BETA_OR : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.86 -> [16887] (unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [16888] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.86
% 293.42/42.86 [16888] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [16895] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [16895] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [16906] 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)))))
% 293.42/42.86 -> [17040] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.86
% 293.42/42.86 [17040] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.86 -> [17042] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.86 -> [17043] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.86
% 293.42/42.86 [17042] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.86 -> [17050] ~line(skolem_M7878)
% 293.42/42.86 -> [17051] ~line(skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [17051] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [17082] ((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))))
% 293.42/42.86
% 293.42/42.86 [17082] 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))))
% 293.42/42.86 -> [17084] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [17085] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86
% 293.42/42.86 [17084] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [17126] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86 -> [17127] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [17127] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [17126] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86
% 293.42/42.86 [17085] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [17087] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86 -> [17088] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [17088] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [17215] ~(left_apart_point(A39_1054_9, L40_1054_9) | left_apart_point(A39_1054_9, reverse_line(L40_1054_9)))
% 293.42/42.86
% 293.42/42.86 [17215] ALPHA_NOT_OR : ~(left_apart_point(A39_1054_9, L40_1054_9) | left_apart_point(A39_1054_9, reverse_line(L40_1054_9)))
% 293.42/42.86 -> [17218] ~left_apart_point(A39_1054_9, L40_1054_9), ~left_apart_point(A39_1054_9, reverse_line(L40_1054_9))
% 293.42/42.86
% 293.42/42.86 [17218] CLOSURE : ~left_apart_point(A39_1054_9, L40_1054_9)
% 293.42/42.86
% 293.42/42.86 [17087] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [17250] ~(left_apart_point(A39_1060_9, L40_1060_9) | left_apart_point(A39_1060_9, reverse_line(L40_1060_9)))
% 293.42/42.86
% 293.42/42.86 [17250] ALPHA_NOT_OR : ~(left_apart_point(A39_1060_9, L40_1060_9) | left_apart_point(A39_1060_9, reverse_line(L40_1060_9)))
% 293.42/42.86 -> [17251] ~left_apart_point(A39_1060_9, L40_1060_9), ~left_apart_point(A39_1060_9, reverse_line(L40_1060_9))
% 293.42/42.86
% 293.42/42.86 [17251] CLOSURE : ~left_apart_point(A39_1060_9, L40_1060_9)
% 293.42/42.86
% 293.42/42.86 [17050] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [17108] ((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))))
% 293.42/42.86
% 293.42/42.86 [17108] 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))))
% 293.42/42.86 -> [17110] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [17111] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86
% 293.42/42.86 [17110] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [17161] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86 -> [17162] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [17162] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [17161] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86
% 293.42/42.86 [17111] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [17119] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86 -> [17120] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [17119] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [17276] ~(left_apart_point(A39_1068_9, L40_1068_9) | left_apart_point(A39_1068_9, reverse_line(L40_1068_9)))
% 293.42/42.86
% 293.42/42.86 [17276] ALPHA_NOT_OR : ~(left_apart_point(A39_1068_9, L40_1068_9) | left_apart_point(A39_1068_9, reverse_line(L40_1068_9)))
% 293.42/42.86 -> [17277] ~left_apart_point(A39_1068_9, L40_1068_9), ~left_apart_point(A39_1068_9, reverse_line(L40_1068_9))
% 293.42/42.86
% 293.42/42.86 [17277] CLOSURE : ~left_apart_point(A39_1068_9, L40_1068_9)
% 293.42/42.86
% 293.42/42.86 [17120] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [17282] ~(left_apart_point(A39_1069_9, L40_1069_9) | left_apart_point(A39_1069_9, reverse_line(L40_1069_9)))
% 293.42/42.86
% 293.42/42.86 [17282] ALPHA_NOT_OR : ~(left_apart_point(A39_1069_9, L40_1069_9) | left_apart_point(A39_1069_9, reverse_line(L40_1069_9)))
% 293.42/42.86 -> [17285] ~left_apart_point(A39_1069_9, L40_1069_9), ~left_apart_point(A39_1069_9, reverse_line(L40_1069_9))
% 293.42/42.86
% 293.42/42.86 [17285] CLOSURE : ~left_apart_point(A39_1069_9, L40_1069_9)
% 293.42/42.86
% 293.42/42.86 [17043] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [17045] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86 -> [17046] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [17045] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [17046] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [17100] ((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))))
% 293.42/42.86
% 293.42/42.86 [17100] 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))))
% 293.42/42.86 -> [17101] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [17102] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86
% 293.42/42.86 [17101] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [17143] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86 -> [17144] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [17143] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86
% 293.42/42.86 [17144] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [17102] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [17103] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86 -> [17104] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [17104] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [17265] ~(left_apart_point(A39_1065_9, L40_1065_9) | left_apart_point(A39_1065_9, reverse_line(L40_1065_9)))
% 293.42/42.86
% 293.42/42.86 [17265] ALPHA_NOT_OR : ~(left_apart_point(A39_1065_9, L40_1065_9) | left_apart_point(A39_1065_9, reverse_line(L40_1065_9)))
% 293.42/42.86 -> [17267] ~left_apart_point(A39_1065_9, L40_1065_9), ~left_apart_point(A39_1065_9, reverse_line(L40_1065_9))
% 293.42/42.86
% 293.42/42.86 [17267] CLOSURE : ~left_apart_point(A39_1065_9, L40_1065_9)
% 293.42/42.86
% 293.42/42.86 [17103] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [17310] ~(left_apart_point(A39_1074_9, L40_1074_9) | left_apart_point(A39_1074_9, reverse_line(L40_1074_9)))
% 293.42/42.86
% 293.42/42.86 [17310] ALPHA_NOT_OR : ~(left_apart_point(A39_1074_9, L40_1074_9) | left_apart_point(A39_1074_9, reverse_line(L40_1074_9)))
% 293.42/42.86 -> [17311] ~left_apart_point(A39_1074_9, L40_1074_9), ~left_apart_point(A39_1074_9, reverse_line(L40_1074_9))
% 293.42/42.86
% 293.42/42.86 [17311] CLOSURE : ~left_apart_point(A39_1074_9, L40_1074_9)
% 293.42/42.86
% 293.42/42.86 [266] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.86 -> [624] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.42/42.86 -> [625] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [625] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.86 -> [1396] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.86
% 293.42/42.86 [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))))
% 293.42/42.86 -> [1723] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.86
% 293.42/42.86 [1723] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.86 -> [1726] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.86 -> [1727] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.86
% 293.42/42.86 [1726] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.86
% 293.42/42.86 [1727] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.86 -> [3686] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.86 -> [3687] distinct_points(skolem_C8282, skolem_B8181)
% 293.42/42.86
% 293.42/42.86 [3686] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.86
% 293.42/42.86 [3687] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.86 -> [5550] ~distinct_lines(N27_186_3, N27_186_3)
% 293.42/42.86
% 293.42/42.86 [5550] 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))))
% 293.42/42.86 -> [6073] (distinct_lines(N27_186_3, N27_186_3) => (distinct_lines(N27_186_3, N27_186_3) | distinct_lines(N27_186_3, N27_186_3)))
% 293.42/42.86
% 293.42/42.86 [6073] BETA_IMPLY : (distinct_lines(N27_186_3, N27_186_3) => (distinct_lines(N27_186_3, N27_186_3) | distinct_lines(N27_186_3, N27_186_3)))
% 293.42/42.86 -> [6078] ~distinct_lines(N27_186_3, N27_186_3)
% 293.42/42.86 -> [6079] (distinct_lines(N27_186_3, N27_186_3) | distinct_lines(N27_186_3, N27_186_3))
% 293.42/42.86
% 293.42/42.86 [6079] BETA_OR : (distinct_lines(N27_186_3, N27_186_3) | distinct_lines(N27_186_3, N27_186_3))
% 293.42/42.86 -> [6085] distinct_lines(N27_186_3, N27_186_3)
% 293.42/42.86 -> [6086] distinct_lines(N27_186_3, N27_186_3)
% 293.42/42.86
% 293.42/42.86 [6085] CLOSURE : distinct_lines(N27_186_3, N27_186_3)
% 293.42/42.86
% 293.42/42.86 [6086] CLOSURE : distinct_lines(N27_186_3, N27_186_3)
% 293.42/42.86
% 293.42/42.86 [6078] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.86 -> [6328] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [6328] 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))))
% 293.42/42.86 -> [6569] (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)))
% 293.42/42.86
% 293.42/42.86 [6569] 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)))
% 293.42/42.86 -> [6570] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86 -> [6571] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [6570] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [6571] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.86 -> [9156] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86 -> [9157] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [9156] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [9157] 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))))))
% 293.42/42.86 -> [10897] ((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)))))
% 293.42/42.86
% 293.42/42.86 [10897] 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)))))
% 293.42/42.86 -> [10900] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [10901] ((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))))
% 293.42/42.86
% 293.42/42.86 [10900] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [10968] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86 -> [10969] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [10969] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [10968] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86
% 293.42/42.86 [10901] 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))))
% 293.42/42.86 -> [19131] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [19132] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.86
% 293.42/42.86 [19131] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [19141] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [19141] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [19132] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [19134] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [19134] 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)))))
% 293.42/42.86 -> [19347] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.86
% 293.42/42.86 [19347] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.86 -> [19352] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.86 -> [19353] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.86
% 293.42/42.86 [19352] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.86 -> [19396] ~line(skolem_M7878)
% 293.42/42.86 -> [19397] ~line(skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [19397] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [19557] ((unequally_directed_lines(skolem_N7979, M38_709_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_709_8))) => (left_convergent_lines(skolem_N7979, M38_709_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_709_8))))
% 293.42/42.86
% 293.42/42.86 [19557] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_709_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_709_8))) => (left_convergent_lines(skolem_N7979, M38_709_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_709_8))))
% 293.42/42.86 -> [19558] ~(unequally_directed_lines(skolem_N7979, M38_709_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_709_8)))
% 293.42/42.86 -> [19559] (left_convergent_lines(skolem_N7979, M38_709_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_709_8)))
% 293.42/42.86
% 293.42/42.86 [19558] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_709_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_709_8)))
% 293.42/42.86 -> [19643] ~unequally_directed_lines(skolem_N7979, M38_709_8)
% 293.42/42.86 -> [19644] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_709_8))
% 293.42/42.86
% 293.42/42.86 [19644] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_709_8))
% 293.42/42.86
% 293.42/42.86 [19643] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_709_8)
% 293.42/42.86
% 293.42/42.86 [19559] BETA_OR : (left_convergent_lines(skolem_N7979, M38_709_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_709_8)))
% 293.42/42.86 -> [19567] left_convergent_lines(skolem_N7979, M38_709_8)
% 293.42/42.86 -> [19568] left_convergent_lines(skolem_N7979, reverse_line(M38_709_8))
% 293.42/42.86
% 293.42/42.86 [19568] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [19753] ~(left_apart_point(A39_1376_9, L40_1376_9) | left_apart_point(A39_1376_9, reverse_line(L40_1376_9)))
% 293.42/42.86
% 293.42/42.86 [19753] ALPHA_NOT_OR : ~(left_apart_point(A39_1376_9, L40_1376_9) | left_apart_point(A39_1376_9, reverse_line(L40_1376_9)))
% 293.42/42.86 -> [19754] ~left_apart_point(A39_1376_9, L40_1376_9), ~left_apart_point(A39_1376_9, reverse_line(L40_1376_9))
% 293.42/42.86
% 293.42/42.86 [19754] CLOSURE : ~left_apart_point(A39_1376_9, L40_1376_9)
% 293.42/42.86
% 293.42/42.86 [19567] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [19778] ~(left_apart_point(A39_1385_9, L40_1385_9) | left_apart_point(A39_1385_9, reverse_line(L40_1385_9)))
% 293.42/42.86
% 293.42/42.86 [19778] ALPHA_NOT_OR : ~(left_apart_point(A39_1385_9, L40_1385_9) | left_apart_point(A39_1385_9, reverse_line(L40_1385_9)))
% 293.42/42.86 -> [19783] ~left_apart_point(A39_1385_9, L40_1385_9), ~left_apart_point(A39_1385_9, reverse_line(L40_1385_9))
% 293.42/42.86
% 293.42/42.86 [19783] CLOSURE : ~left_apart_point(A39_1385_9, L40_1385_9)
% 293.42/42.86
% 293.42/42.86 [19396] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [19625] ((unequally_directed_lines(skolem_N7979, M38_718_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_718_8))) => (left_convergent_lines(skolem_N7979, M38_718_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_718_8))))
% 293.42/42.86
% 293.42/42.86 [19625] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_718_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_718_8))) => (left_convergent_lines(skolem_N7979, M38_718_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_718_8))))
% 293.42/42.86 -> [19628] ~(unequally_directed_lines(skolem_N7979, M38_718_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_718_8)))
% 293.42/42.86 -> [19629] (left_convergent_lines(skolem_N7979, M38_718_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_718_8)))
% 293.42/42.86
% 293.42/42.86 [19628] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_718_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_718_8)))
% 293.42/42.86 -> [19704] ~unequally_directed_lines(skolem_N7979, M38_718_8)
% 293.42/42.86 -> [19705] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_718_8))
% 293.42/42.86
% 293.42/42.86 [19705] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_718_8))
% 293.42/42.86
% 293.42/42.86 [19704] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_718_8)
% 293.42/42.86
% 293.42/42.86 [19629] BETA_OR : (left_convergent_lines(skolem_N7979, M38_718_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_718_8)))
% 293.42/42.86 -> [19634] left_convergent_lines(skolem_N7979, M38_718_8)
% 293.42/42.86 -> [19635] left_convergent_lines(skolem_N7979, reverse_line(M38_718_8))
% 293.42/42.86
% 293.42/42.86 [19635] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [19773] ~(left_apart_point(A39_1384_9, L40_1384_9) | left_apart_point(A39_1384_9, reverse_line(L40_1384_9)))
% 293.42/42.86
% 293.42/42.86 [19773] ALPHA_NOT_OR : ~(left_apart_point(A39_1384_9, L40_1384_9) | left_apart_point(A39_1384_9, reverse_line(L40_1384_9)))
% 293.42/42.86 -> [19774] ~left_apart_point(A39_1384_9, L40_1384_9), ~left_apart_point(A39_1384_9, reverse_line(L40_1384_9))
% 293.42/42.86
% 293.42/42.86 [19774] CLOSURE : ~left_apart_point(A39_1384_9, L40_1384_9)
% 293.42/42.86
% 293.42/42.86 [19634] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [19812] ~(left_apart_point(A39_1389_9, L40_1389_9) | left_apart_point(A39_1389_9, reverse_line(L40_1389_9)))
% 293.42/42.86
% 293.42/42.86 [19812] ALPHA_NOT_OR : ~(left_apart_point(A39_1389_9, L40_1389_9) | left_apart_point(A39_1389_9, reverse_line(L40_1389_9)))
% 293.42/42.86 -> [19813] ~left_apart_point(A39_1389_9, L40_1389_9), ~left_apart_point(A39_1389_9, reverse_line(L40_1389_9))
% 293.42/42.86
% 293.42/42.86 [19813] CLOSURE : ~left_apart_point(A39_1389_9, L40_1389_9)
% 293.42/42.86
% 293.42/42.86 [19353] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [19354] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86 -> [19355] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [19354] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [19355] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [19577] ((unequally_directed_lines(skolem_N7979, M38_711_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_711_8))) => (left_convergent_lines(skolem_N7979, M38_711_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_711_8))))
% 293.42/42.86
% 293.42/42.86 [19577] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_711_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_711_8))) => (left_convergent_lines(skolem_N7979, M38_711_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_711_8))))
% 293.42/42.86 -> [19579] ~(unequally_directed_lines(skolem_N7979, M38_711_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_711_8)))
% 293.42/42.86 -> [19580] (left_convergent_lines(skolem_N7979, M38_711_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_711_8)))
% 293.42/42.86
% 293.42/42.86 [19580] BETA_OR : (left_convergent_lines(skolem_N7979, M38_711_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_711_8)))
% 293.42/42.86 -> [19584] left_convergent_lines(skolem_N7979, M38_711_8)
% 293.42/42.86 -> [19585] left_convergent_lines(skolem_N7979, reverse_line(M38_711_8))
% 293.42/42.86
% 293.42/42.86 [19585] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [19762] ~(left_apart_point(A39_1380_9, L40_1380_9) | left_apart_point(A39_1380_9, reverse_line(L40_1380_9)))
% 293.42/42.86
% 293.42/42.86 [19762] ALPHA_NOT_OR : ~(left_apart_point(A39_1380_9, L40_1380_9) | left_apart_point(A39_1380_9, reverse_line(L40_1380_9)))
% 293.42/42.86 -> [19766] ~left_apart_point(A39_1380_9, L40_1380_9), ~left_apart_point(A39_1380_9, reverse_line(L40_1380_9))
% 293.42/42.86
% 293.42/42.86 [19766] CLOSURE : ~left_apart_point(A39_1380_9, L40_1380_9)
% 293.42/42.86
% 293.42/42.86 [19584] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [19786] ~(left_apart_point(A39_1386_9, L40_1386_9) | left_apart_point(A39_1386_9, reverse_line(L40_1386_9)))
% 293.42/42.86
% 293.42/42.86 [19786] ALPHA_NOT_OR : ~(left_apart_point(A39_1386_9, L40_1386_9) | left_apart_point(A39_1386_9, reverse_line(L40_1386_9)))
% 293.42/42.86 -> [19788] ~left_apart_point(A39_1386_9, L40_1386_9), ~left_apart_point(A39_1386_9, reverse_line(L40_1386_9))
% 293.42/42.86
% 293.42/42.86 [19788] CLOSURE : ~left_apart_point(A39_1386_9, L40_1386_9)
% 293.42/42.86
% 293.42/42.86 [19579] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_711_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_711_8)))
% 293.42/42.86 -> [19652] ~unequally_directed_lines(skolem_N7979, M38_711_8)
% 293.42/42.86 -> [19653] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_711_8))
% 293.42/42.86
% 293.42/42.86 [19653] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_711_8))
% 293.42/42.86
% 293.42/42.86 [19652] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_711_8)
% 293.42/42.86
% 293.42/42.86 [624] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.86 -> [1378] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.86
% 293.42/42.86 [1378] 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))))
% 293.42/42.86 -> [1497] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.86
% 293.42/42.86 [1497] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.86 -> [1498] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.86 -> [1499] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.86
% 293.42/42.86 [1498] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.86
% 293.42/42.86 [1499] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.86 -> [5853] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.86 -> [5854] distinct_points(skolem_C8282, skolem_B8181)
% 293.42/42.86
% 293.42/42.86 [5853] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.86
% 293.42/42.86 [5854] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.86 -> [7947] ~distinct_lines(N27_264_3, N27_264_3)
% 293.42/42.86
% 293.42/42.86 [7947] 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))))
% 293.42/42.86 -> [8631] (distinct_lines(N27_264_3, N27_264_3) => (distinct_lines(N27_264_3, N27_264_3) | distinct_lines(N27_264_3, N27_264_3)))
% 293.42/42.86
% 293.42/42.86 [8631] BETA_IMPLY : (distinct_lines(N27_264_3, N27_264_3) => (distinct_lines(N27_264_3, N27_264_3) | distinct_lines(N27_264_3, N27_264_3)))
% 293.42/42.86 -> [8634] ~distinct_lines(N27_264_3, N27_264_3)
% 293.42/42.86 -> [8635] (distinct_lines(N27_264_3, N27_264_3) | distinct_lines(N27_264_3, N27_264_3))
% 293.42/42.86
% 293.42/42.86 [8635] BETA_OR : (distinct_lines(N27_264_3, N27_264_3) | distinct_lines(N27_264_3, N27_264_3))
% 293.42/42.86 -> [8637] distinct_lines(N27_264_3, N27_264_3)
% 293.42/42.86 -> [8638] distinct_lines(N27_264_3, N27_264_3)
% 293.42/42.86
% 293.42/42.86 [8638] CLOSURE : distinct_lines(N27_264_3, N27_264_3)
% 293.42/42.86
% 293.42/42.86 [8637] CLOSURE : distinct_lines(N27_264_3, N27_264_3)
% 293.42/42.86
% 293.42/42.86 [8634] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.86 -> [8967] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [8967] 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))))
% 293.42/42.86 -> [9283] (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))))
% 293.42/42.86
% 293.42/42.86 [9283] 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))))
% 293.42/42.86 -> [9284] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86 -> [9285] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.86
% 293.42/42.86 [9284] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [9285] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.86 -> [18277] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86 -> [18278] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [18278] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [18277] 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))))))
% 293.42/42.86 -> [19333] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_249_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_249_6))) | (unequally_directed_lines(skolem_N7979, N34_249_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_249_6)))))
% 293.42/42.86
% 293.42/42.86 [19333] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_249_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_249_6))) | (unequally_directed_lines(skolem_N7979, N34_249_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_249_6)))))
% 293.42/42.86 -> [19338] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [19339] ((unequally_directed_lines(skolem_M7878, N34_249_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_249_6))) | (unequally_directed_lines(skolem_N7979, N34_249_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_249_6))))
% 293.42/42.86
% 293.42/42.86 [19338] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [19420] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86 -> [19421] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [19421] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [19420] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86
% 293.42/42.86 [19339] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_249_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_249_6))) | (unequally_directed_lines(skolem_N7979, N34_249_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_249_6))))
% 293.42/42.86 -> [22287] (unequally_directed_lines(skolem_M7878, N34_249_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_249_6)))
% 293.42/42.86 -> [22288] (unequally_directed_lines(skolem_N7979, N34_249_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_249_6)))
% 293.42/42.86
% 293.42/42.86 [22287] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_249_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_249_6)))
% 293.42/42.86 -> [22298] unequally_directed_lines(skolem_M7878, N34_249_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_249_6))
% 293.42/42.86
% 293.42/42.86 [22298] 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)))))
% 293.42/42.86 -> [23919] ((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))))
% 293.42/42.86
% 293.42/42.86 [23919] 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))))
% 293.42/42.86 -> [23923] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.86 -> [23924] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.86
% 293.42/42.86 [23923] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.86 -> [23972] ~line(reverse_line(skolem_N7979))
% 293.42/42.86 -> [23973] ~line(skolem_N7979)
% 293.42/42.86
% 293.42/42.86 [23973] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [24104] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.86
% 293.42/42.86 [24104] 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))))
% 293.42/42.86 -> [24105] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [24106] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86
% 293.42/42.86 [24105] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [24130] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.86 -> [24131] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [24131] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [24130] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [24106] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [24109] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.86 -> [24110] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [24110] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [24246] ~(left_apart_point(A39_2000_9, L40_2000_9) | left_apart_point(A39_2000_9, reverse_line(L40_2000_9)))
% 293.42/42.86
% 293.42/42.86 [24246] ALPHA_NOT_OR : ~(left_apart_point(A39_2000_9, L40_2000_9) | left_apart_point(A39_2000_9, reverse_line(L40_2000_9)))
% 293.42/42.86 -> [24248] ~left_apart_point(A39_2000_9, L40_2000_9), ~left_apart_point(A39_2000_9, reverse_line(L40_2000_9))
% 293.42/42.86
% 293.42/42.86 [24248] CLOSURE : ~left_apart_point(A39_2000_9, L40_2000_9)
% 293.42/42.86
% 293.42/42.86 [24109] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [24272] ~(left_apart_point(A39_2007_9, L40_2007_9) | left_apart_point(A39_2007_9, reverse_line(L40_2007_9)))
% 293.42/42.86
% 293.42/42.86 [24272] ALPHA_NOT_OR : ~(left_apart_point(A39_2007_9, L40_2007_9) | left_apart_point(A39_2007_9, reverse_line(L40_2007_9)))
% 293.42/42.86 -> [24273] ~left_apart_point(A39_2007_9, L40_2007_9), ~left_apart_point(A39_2007_9, reverse_line(L40_2007_9))
% 293.42/42.86
% 293.42/42.86 [24273] CLOSURE : ~left_apart_point(A39_2007_9, L40_2007_9)
% 293.42/42.86
% 293.42/42.86 [23972] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [24092] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.86
% 293.42/42.86 [24092] 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))))
% 293.42/42.86 -> [24093] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [24094] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86
% 293.42/42.86 [24093] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [24123] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.86 -> [24124] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [24124] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [24123] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [24094] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [24097] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.86 -> [24098] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [24098] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [24242] ~(left_apart_point(A39_1998_9, L40_1998_9) | left_apart_point(A39_1998_9, reverse_line(L40_1998_9)))
% 293.42/42.86
% 293.42/42.86 [24242] ALPHA_NOT_OR : ~(left_apart_point(A39_1998_9, L40_1998_9) | left_apart_point(A39_1998_9, reverse_line(L40_1998_9)))
% 293.42/42.86 -> [24243] ~left_apart_point(A39_1998_9, L40_1998_9), ~left_apart_point(A39_1998_9, reverse_line(L40_1998_9))
% 293.42/42.86
% 293.42/42.86 [24243] CLOSURE : ~left_apart_point(A39_1998_9, L40_1998_9)
% 293.42/42.86
% 293.42/42.86 [24097] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [24271] ~(left_apart_point(A39_2006_9, L40_2006_9) | left_apart_point(A39_2006_9, reverse_line(L40_2006_9)))
% 293.42/42.86
% 293.42/42.86 [24271] ALPHA_NOT_OR : ~(left_apart_point(A39_2006_9, L40_2006_9) | left_apart_point(A39_2006_9, reverse_line(L40_2006_9)))
% 293.42/42.86 -> [25366] ~left_apart_point(A39_2006_9, L40_2006_9), ~left_apart_point(A39_2006_9, reverse_line(L40_2006_9))
% 293.42/42.86
% 293.42/42.86 [25366] CLOSURE : ~left_apart_point(A39_2006_9, L40_2006_9)
% 293.42/42.86
% 293.42/42.86 [23924] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.86 -> [23929] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 293.42/42.86 -> [23930] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [23930] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [23929] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [26008] ((unequally_directed_lines(skolem_M7878, M38_1144_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1144_8))) => (left_convergent_lines(skolem_M7878, M38_1144_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1144_8))))
% 293.42/42.86
% 293.42/42.86 [26008] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_1144_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1144_8))) => (left_convergent_lines(skolem_M7878, M38_1144_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1144_8))))
% 293.42/42.86 -> [26012] ~(unequally_directed_lines(skolem_M7878, M38_1144_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1144_8)))
% 293.42/42.86 -> [26013] (left_convergent_lines(skolem_M7878, M38_1144_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1144_8)))
% 293.42/42.86
% 293.42/42.86 [26012] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_1144_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1144_8)))
% 293.42/42.86 -> [26036] ~unequally_directed_lines(skolem_M7878, M38_1144_8)
% 293.42/42.86 -> [26037] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_1144_8))
% 293.42/42.86
% 293.42/42.86 [26037] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_1144_8))
% 293.42/42.86
% 293.42/42.86 [26036] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_1144_8)
% 293.42/42.86
% 293.42/42.86 [26013] BETA_OR : (left_convergent_lines(skolem_M7878, M38_1144_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1144_8)))
% 293.42/42.86 -> [26024] left_convergent_lines(skolem_M7878, M38_1144_8)
% 293.42/42.86 -> [26025] left_convergent_lines(skolem_M7878, reverse_line(M38_1144_8))
% 293.42/42.86
% 293.42/42.86 [26025] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [26082] ~(left_apart_point(A39_2284_9, L40_2284_9) | left_apart_point(A39_2284_9, reverse_line(L40_2284_9)))
% 293.42/42.86
% 293.42/42.86 [26082] ALPHA_NOT_OR : ~(left_apart_point(A39_2284_9, L40_2284_9) | left_apart_point(A39_2284_9, reverse_line(L40_2284_9)))
% 293.42/42.86 -> [26083] ~left_apart_point(A39_2284_9, L40_2284_9), ~left_apart_point(A39_2284_9, reverse_line(L40_2284_9))
% 293.42/42.86
% 293.42/42.86 [26083] CLOSURE : ~left_apart_point(A39_2284_9, L40_2284_9)
% 293.42/42.86
% 293.42/42.86 [26024] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [26144] ~(left_apart_point(A39_2294_9, L40_2294_9) | left_apart_point(A39_2294_9, reverse_line(L40_2294_9)))
% 293.42/42.86
% 293.42/42.86 [26144] ALPHA_NOT_OR : ~(left_apart_point(A39_2294_9, L40_2294_9) | left_apart_point(A39_2294_9, reverse_line(L40_2294_9)))
% 293.42/42.86 -> [26146] ~left_apart_point(A39_2294_9, L40_2294_9), ~left_apart_point(A39_2294_9, reverse_line(L40_2294_9))
% 293.42/42.86
% 293.42/42.86 [26146] CLOSURE : ~left_apart_point(A39_2294_9, L40_2294_9)
% 293.42/42.86
% 293.42/42.86 [22288] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_249_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_249_6)))
% 293.42/42.86 -> [22291] unequally_directed_lines(skolem_N7979, N34_249_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_249_6))
% 293.42/42.86
% 293.42/42.86 [22291] 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)))))
% 293.42/42.86 -> [22388] ((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)))))
% 293.42/42.86
% 293.42/42.86 [22388] 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)))))
% 293.42/42.86 -> [22391] ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.86 -> [22392] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))
% 293.42/42.86
% 293.42/42.86 [22391] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.86 -> [22543] ~line(skolem_L7777)
% 293.42/42.86 -> [22544] ~line(line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.86
% 293.42/42.86 [22544] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [22580] ((unequally_directed_lines(skolem_N7979, M38_905_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_905_8))) => (left_convergent_lines(skolem_N7979, M38_905_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_905_8))))
% 293.42/42.86
% 293.42/42.86 [22580] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_905_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_905_8))) => (left_convergent_lines(skolem_N7979, M38_905_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_905_8))))
% 293.42/42.86 -> [22581] ~(unequally_directed_lines(skolem_N7979, M38_905_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_905_8)))
% 293.42/42.86 -> [22582] (left_convergent_lines(skolem_N7979, M38_905_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_905_8)))
% 293.42/42.86
% 293.42/42.86 [22581] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_905_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_905_8)))
% 293.42/42.86 -> [22631] ~unequally_directed_lines(skolem_N7979, M38_905_8)
% 293.42/42.86 -> [22632] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_905_8))
% 293.42/42.86
% 293.42/42.86 [22632] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_905_8))
% 293.42/42.86
% 293.42/42.86 [22631] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_905_8)
% 293.42/42.86
% 293.42/42.86 [22582] BETA_OR : (left_convergent_lines(skolem_N7979, M38_905_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_905_8)))
% 293.42/42.86 -> [22584] left_convergent_lines(skolem_N7979, M38_905_8)
% 293.42/42.86 -> [22585] left_convergent_lines(skolem_N7979, reverse_line(M38_905_8))
% 293.42/42.86
% 293.42/42.86 [22584] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [22756] ~(left_apart_point(A39_1778_9, L40_1778_9) | left_apart_point(A39_1778_9, reverse_line(L40_1778_9)))
% 293.42/42.86
% 293.42/42.86 [22756] ALPHA_NOT_OR : ~(left_apart_point(A39_1778_9, L40_1778_9) | left_apart_point(A39_1778_9, reverse_line(L40_1778_9)))
% 293.42/42.86 -> [22759] ~left_apart_point(A39_1778_9, L40_1778_9), ~left_apart_point(A39_1778_9, reverse_line(L40_1778_9))
% 293.42/42.86
% 293.42/42.86 [22759] CLOSURE : ~left_apart_point(A39_1778_9, L40_1778_9)
% 293.42/42.86
% 293.42/42.86 [22585] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [24614] ~(left_apart_point(A39_2049_9, L40_2049_9) | left_apart_point(A39_2049_9, reverse_line(L40_2049_9)))
% 293.42/42.86
% 293.42/42.86 [24614] ALPHA_NOT_OR : ~(left_apart_point(A39_2049_9, L40_2049_9) | left_apart_point(A39_2049_9, reverse_line(L40_2049_9)))
% 293.42/42.86 -> [24615] ~left_apart_point(A39_2049_9, L40_2049_9), ~left_apart_point(A39_2049_9, reverse_line(L40_2049_9))
% 293.42/42.86
% 293.42/42.86 [24615] CLOSURE : ~left_apart_point(A39_2049_9, L40_2049_9)
% 293.42/42.86
% 293.42/42.86 [22543] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [22673] ((unequally_directed_lines(skolem_N7979, M38_910_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_910_8))) => (left_convergent_lines(skolem_N7979, M38_910_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_910_8))))
% 293.42/42.86
% 293.42/42.86 [22673] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_910_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_910_8))) => (left_convergent_lines(skolem_N7979, M38_910_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_910_8))))
% 293.42/42.86 -> [22675] ~(unequally_directed_lines(skolem_N7979, M38_910_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_910_8)))
% 293.42/42.86 -> [22676] (left_convergent_lines(skolem_N7979, M38_910_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_910_8)))
% 293.42/42.86
% 293.42/42.86 [22675] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_910_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_910_8)))
% 293.42/42.86 -> [22738] ~unequally_directed_lines(skolem_N7979, M38_910_8)
% 293.42/42.86 -> [22739] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_910_8))
% 293.42/42.86
% 293.42/42.86 [22739] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_910_8))
% 293.42/42.86
% 293.42/42.86 [22738] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_910_8)
% 293.42/42.86
% 293.42/42.86 [22676] BETA_OR : (left_convergent_lines(skolem_N7979, M38_910_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_910_8)))
% 293.42/42.86 -> [22679] left_convergent_lines(skolem_N7979, M38_910_8)
% 293.42/42.86 -> [22680] left_convergent_lines(skolem_N7979, reverse_line(M38_910_8))
% 293.42/42.86
% 293.42/42.86 [22679] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [22779] ~(left_apart_point(A39_1780_9, L40_1780_9) | left_apart_point(A39_1780_9, reverse_line(L40_1780_9)))
% 293.42/42.86
% 293.42/42.86 [22779] ALPHA_NOT_OR : ~(left_apart_point(A39_1780_9, L40_1780_9) | left_apart_point(A39_1780_9, reverse_line(L40_1780_9)))
% 293.42/42.86 -> [22781] ~left_apart_point(A39_1780_9, L40_1780_9), ~left_apart_point(A39_1780_9, reverse_line(L40_1780_9))
% 293.42/42.86
% 293.42/42.86 [22781] CLOSURE : ~left_apart_point(A39_1780_9, L40_1780_9)
% 293.42/42.86
% 293.42/42.86 [22680] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [24732] ~(left_apart_point(A39_2072_9, L40_2072_9) | left_apart_point(A39_2072_9, reverse_line(L40_2072_9)))
% 293.42/42.86
% 293.42/42.86 [24732] ALPHA_NOT_OR : ~(left_apart_point(A39_2072_9, L40_2072_9) | left_apart_point(A39_2072_9, reverse_line(L40_2072_9)))
% 293.42/42.86 -> [24733] ~left_apart_point(A39_2072_9, L40_2072_9), ~left_apart_point(A39_2072_9, reverse_line(L40_2072_9))
% 293.42/42.86
% 293.42/42.86 [24733] CLOSURE : ~left_apart_point(A39_2072_9, L40_2072_9)
% 293.42/42.86
% 293.42/42.86 [22392] 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))))
% 293.42/42.86 -> [22393] unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.86 -> [22394] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.86
% 293.42/42.86 [22393] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.86
% 293.42/42.86 [22394] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [25708] ((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))))
% 293.42/42.86
% 293.42/42.86 [25708] 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))))
% 293.42/42.86 -> [25709] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [25710] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86
% 293.42/42.86 [25710] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [25714] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86 -> [25715] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [25714] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [25747] ~(left_apart_point(A39_2228_9, L40_2228_9) | left_apart_point(A39_2228_9, reverse_line(L40_2228_9)))
% 293.42/42.86
% 293.42/42.86 [25747] ALPHA_NOT_OR : ~(left_apart_point(A39_2228_9, L40_2228_9) | left_apart_point(A39_2228_9, reverse_line(L40_2228_9)))
% 293.42/42.86 -> [25748] ~left_apart_point(A39_2228_9, L40_2228_9), ~left_apart_point(A39_2228_9, reverse_line(L40_2228_9))
% 293.42/42.86
% 293.42/42.86 [25748] CLOSURE : ~left_apart_point(A39_2228_9, L40_2228_9)
% 293.42/42.86
% 293.42/42.86 [25715] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [26067] ~(left_apart_point(A39_2281_9, L40_2281_9) | left_apart_point(A39_2281_9, reverse_line(L40_2281_9)))
% 293.42/42.86
% 293.42/42.86 [26067] ALPHA_NOT_OR : ~(left_apart_point(A39_2281_9, L40_2281_9) | left_apart_point(A39_2281_9, reverse_line(L40_2281_9)))
% 293.42/42.86 -> [26070] ~left_apart_point(A39_2281_9, L40_2281_9), ~left_apart_point(A39_2281_9, reverse_line(L40_2281_9))
% 293.42/42.86
% 293.42/42.86 [26070] CLOSURE : ~left_apart_point(A39_2281_9, L40_2281_9)
% 293.42/42.86
% 293.42/42.86 [25709] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [25734] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86 -> [25735] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [25735] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [25734] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86
% 293.42/42.86 [212] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.42/42.86 -> [300] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.86 -> [301] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.86
% 293.42/42.86 [300] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.42/42.86 -> [320] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))
% 293.42/42.86 -> [321] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.86
% 293.42/42.86 [320] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.86 -> [3006] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))
% 293.42/42.86 -> [3007] ~~(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)))
% 293.42/42.86
% 293.42/42.86 [3006] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.86 -> [3067] ~distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.86
% 293.42/42.86 [3067] 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))))
% 293.42/42.86 -> [3106] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.86
% 293.42/42.86 [3106] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.86 -> [3107] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.86 -> [3108] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.86
% 293.42/42.86 [3107] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.86
% 293.42/42.86 [3108] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.86 -> [4727] distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.86 -> [4728] distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.86
% 293.42/42.86 [4728] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.86
% 293.42/42.86 [4727] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.86 -> [5934] ~distinct_lines(N27_188_3, N27_188_3)
% 293.42/42.86
% 293.42/42.86 [5934] 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))))
% 293.42/42.86 -> [6141] (distinct_lines(N27_188_3, N27_188_3) => (distinct_lines(N27_188_3, N27_188_3) | distinct_lines(N27_188_3, N27_188_3)))
% 293.42/42.86
% 293.42/42.86 [6141] BETA_IMPLY : (distinct_lines(N27_188_3, N27_188_3) => (distinct_lines(N27_188_3, N27_188_3) | distinct_lines(N27_188_3, N27_188_3)))
% 293.42/42.86 -> [6144] ~distinct_lines(N27_188_3, N27_188_3)
% 293.42/42.86 -> [6145] (distinct_lines(N27_188_3, N27_188_3) | distinct_lines(N27_188_3, N27_188_3))
% 293.42/42.86
% 293.42/42.86 [6145] BETA_OR : (distinct_lines(N27_188_3, N27_188_3) | distinct_lines(N27_188_3, N27_188_3))
% 293.42/42.86 -> [6148] distinct_lines(N27_188_3, N27_188_3)
% 293.42/42.86 -> [6149] distinct_lines(N27_188_3, N27_188_3)
% 293.42/42.86
% 293.42/42.86 [6149] CLOSURE : distinct_lines(N27_188_3, N27_188_3)
% 293.42/42.86
% 293.42/42.86 [6148] CLOSURE : distinct_lines(N27_188_3, N27_188_3)
% 293.42/42.86
% 293.42/42.86 [6144] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.86 -> [6387] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [6387] 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))))
% 293.42/42.86 -> [6762] (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)))
% 293.42/42.86
% 293.42/42.86 [6762] 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)))
% 293.42/42.86 -> [6769] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86 -> [6770] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [6769] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [6770] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.86 -> [10569] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86 -> [10570] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [10569] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [10570] 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))))))
% 293.42/42.86 -> [13957] ((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)))))
% 293.42/42.86
% 293.42/42.86 [13957] 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)))))
% 293.42/42.86 -> [13959] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [13960] ((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))))
% 293.42/42.86
% 293.42/42.86 [13959] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [13977] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86 -> [13978] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [13978] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [13977] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86
% 293.42/42.86 [13960] 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))))
% 293.42/42.86 -> [17734] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [17735] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.86
% 293.42/42.86 [17734] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [20431] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [20431] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [17735] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [17740] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [17740] 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)))))
% 293.42/42.86 -> [20840] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.86
% 293.42/42.86 [20840] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.86 -> [20842] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.86 -> [20843] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.86
% 293.42/42.86 [20843] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [20850] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86 -> [20851] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [20850] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [20851] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [22277] ((unequally_directed_lines(skolem_N7979, M38_890_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_890_8))) => (left_convergent_lines(skolem_N7979, M38_890_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_890_8))))
% 293.42/42.86
% 293.42/42.86 [22277] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_890_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_890_8))) => (left_convergent_lines(skolem_N7979, M38_890_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_890_8))))
% 293.42/42.86 -> [22280] ~(unequally_directed_lines(skolem_N7979, M38_890_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_890_8)))
% 293.42/42.86 -> [22281] (left_convergent_lines(skolem_N7979, M38_890_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_890_8)))
% 293.42/42.86
% 293.42/42.86 [22280] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_890_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_890_8)))
% 293.42/42.86 -> [22323] ~unequally_directed_lines(skolem_N7979, M38_890_8)
% 293.42/42.86 -> [22324] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_890_8))
% 293.42/42.86
% 293.42/42.86 [22324] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_890_8))
% 293.42/42.86
% 293.42/42.86 [22323] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_890_8)
% 293.42/42.86
% 293.42/42.86 [22281] BETA_OR : (left_convergent_lines(skolem_N7979, M38_890_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_890_8)))
% 293.42/42.86 -> [22285] left_convergent_lines(skolem_N7979, M38_890_8)
% 293.42/42.86 -> [22286] left_convergent_lines(skolem_N7979, reverse_line(M38_890_8))
% 293.42/42.86
% 293.42/42.86 [22285] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [23507] ~(left_apart_point(A39_1889_9, L40_1889_9) | left_apart_point(A39_1889_9, reverse_line(L40_1889_9)))
% 293.42/42.86
% 293.42/42.86 [23507] ALPHA_NOT_OR : ~(left_apart_point(A39_1889_9, L40_1889_9) | left_apart_point(A39_1889_9, reverse_line(L40_1889_9)))
% 293.42/42.86 -> [23511] ~left_apart_point(A39_1889_9, L40_1889_9), ~left_apart_point(A39_1889_9, reverse_line(L40_1889_9))
% 293.42/42.86
% 293.42/42.86 [23511] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.86 -> [23774] ~(left_convergent_lines(L41_229_10, M42_229_10) | left_convergent_lines(L41_229_10, reverse_line(M42_229_10)))
% 293.42/42.86
% 293.42/42.86 [23774] ALPHA_NOT_OR : ~(left_convergent_lines(L41_229_10, M42_229_10) | left_convergent_lines(L41_229_10, reverse_line(M42_229_10)))
% 293.42/42.86 -> [23776] ~left_convergent_lines(L41_229_10, M42_229_10), ~left_convergent_lines(L41_229_10, reverse_line(M42_229_10))
% 293.42/42.86
% 293.42/42.86 [23776] CLOSURE : ~left_convergent_lines(L41_229_10, M42_229_10)
% 293.42/42.86
% 293.42/42.86 [22286] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [22635] ~(left_apart_point(A39_1764_9, L40_1764_9) | left_apart_point(A39_1764_9, reverse_line(L40_1764_9)))
% 293.42/42.86
% 293.42/42.86 [22635] ALPHA_NOT_OR : ~(left_apart_point(A39_1764_9, L40_1764_9) | left_apart_point(A39_1764_9, reverse_line(L40_1764_9)))
% 293.42/42.86 -> [22636] ~left_apart_point(A39_1764_9, L40_1764_9), ~left_apart_point(A39_1764_9, reverse_line(L40_1764_9))
% 293.42/42.86
% 293.42/42.86 [22636] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.86 -> [24761] ~(left_convergent_lines(L41_234_10, M42_234_10) | left_convergent_lines(L41_234_10, reverse_line(M42_234_10)))
% 293.42/42.86
% 293.42/42.86 [24761] ALPHA_NOT_OR : ~(left_convergent_lines(L41_234_10, M42_234_10) | left_convergent_lines(L41_234_10, reverse_line(M42_234_10)))
% 293.42/42.86 -> [24763] ~left_convergent_lines(L41_234_10, M42_234_10), ~left_convergent_lines(L41_234_10, reverse_line(M42_234_10))
% 293.42/42.86
% 293.42/42.86 [24763] CLOSURE : ~left_convergent_lines(L41_234_10, M42_234_10)
% 293.42/42.86
% 293.42/42.86 [20842] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.86 -> [20964] ~line(skolem_M7878)
% 293.42/42.86 -> [20965] ~line(skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [20964] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [22358] ((unequally_directed_lines(skolem_N7979, M38_893_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_893_8))) => (left_convergent_lines(skolem_N7979, M38_893_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_893_8))))
% 293.42/42.86
% 293.42/42.86 [22358] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_893_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_893_8))) => (left_convergent_lines(skolem_N7979, M38_893_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_893_8))))
% 293.42/42.86 -> [22361] ~(unequally_directed_lines(skolem_N7979, M38_893_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_893_8)))
% 293.42/42.86 -> [22362] (left_convergent_lines(skolem_N7979, M38_893_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_893_8)))
% 293.42/42.86
% 293.42/42.86 [22361] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_893_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_893_8)))
% 293.42/42.86 -> [22397] ~unequally_directed_lines(skolem_N7979, M38_893_8)
% 293.42/42.86 -> [22398] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_893_8))
% 293.42/42.86
% 293.42/42.86 [22398] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_893_8))
% 293.42/42.86
% 293.42/42.86 [22397] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_893_8)
% 293.42/42.86
% 293.42/42.86 [22362] BETA_OR : (left_convergent_lines(skolem_N7979, M38_893_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_893_8)))
% 293.42/42.86 -> [22367] left_convergent_lines(skolem_N7979, M38_893_8)
% 293.42/42.86 -> [22368] left_convergent_lines(skolem_N7979, reverse_line(M38_893_8))
% 293.42/42.86
% 293.42/42.86 [22368] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [22457] ~(left_apart_point(A39_1745_9, L40_1745_9) | left_apart_point(A39_1745_9, reverse_line(L40_1745_9)))
% 293.42/42.86
% 293.42/42.86 [22457] ALPHA_NOT_OR : ~(left_apart_point(A39_1745_9, L40_1745_9) | left_apart_point(A39_1745_9, reverse_line(L40_1745_9)))
% 293.42/42.86 -> [22458] ~left_apart_point(A39_1745_9, L40_1745_9), ~left_apart_point(A39_1745_9, reverse_line(L40_1745_9))
% 293.42/42.86
% 293.42/42.86 [22458] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.86 -> [22531] ~(left_convergent_lines(L41_222_10, M42_222_10) | left_convergent_lines(L41_222_10, reverse_line(M42_222_10)))
% 293.42/42.86
% 293.42/42.86 [22531] ALPHA_NOT_OR : ~(left_convergent_lines(L41_222_10, M42_222_10) | left_convergent_lines(L41_222_10, reverse_line(M42_222_10)))
% 293.42/42.86 -> [22533] ~left_convergent_lines(L41_222_10, M42_222_10), ~left_convergent_lines(L41_222_10, reverse_line(M42_222_10))
% 293.42/42.86
% 293.42/42.86 [22533] CLOSURE : ~left_convergent_lines(L41_222_10, M42_222_10)
% 293.42/42.86
% 293.42/42.86 [22367] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [22485] ~(left_apart_point(A39_1750_9, L40_1750_9) | left_apart_point(A39_1750_9, reverse_line(L40_1750_9)))
% 293.42/42.86
% 293.42/42.86 [22485] ALPHA_NOT_OR : ~(left_apart_point(A39_1750_9, L40_1750_9) | left_apart_point(A39_1750_9, reverse_line(L40_1750_9)))
% 293.42/42.86 -> [22488] ~left_apart_point(A39_1750_9, L40_1750_9), ~left_apart_point(A39_1750_9, reverse_line(L40_1750_9))
% 293.42/42.86
% 293.42/42.86 [22488] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.86 -> [22572] ~(left_convergent_lines(L41_223_10, M42_223_10) | left_convergent_lines(L41_223_10, reverse_line(M42_223_10)))
% 293.42/42.86
% 293.42/42.86 [22572] ALPHA_NOT_OR : ~(left_convergent_lines(L41_223_10, M42_223_10) | left_convergent_lines(L41_223_10, reverse_line(M42_223_10)))
% 293.42/42.86 -> [22573] ~left_convergent_lines(L41_223_10, M42_223_10), ~left_convergent_lines(L41_223_10, reverse_line(M42_223_10))
% 293.42/42.86
% 293.42/42.86 [22573] CLOSURE : ~left_convergent_lines(L41_223_10, M42_223_10)
% 293.42/42.86
% 293.42/42.86 [20965] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [22250] ((unequally_directed_lines(skolem_N7979, M38_888_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_888_8))) => (left_convergent_lines(skolem_N7979, M38_888_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_888_8))))
% 293.42/42.86
% 293.42/42.86 [22250] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_888_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_888_8))) => (left_convergent_lines(skolem_N7979, M38_888_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_888_8))))
% 293.42/42.86 -> [22253] ~(unequally_directed_lines(skolem_N7979, M38_888_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_888_8)))
% 293.42/42.86 -> [22254] (left_convergent_lines(skolem_N7979, M38_888_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_888_8)))
% 293.42/42.86
% 293.42/42.86 [22254] BETA_OR : (left_convergent_lines(skolem_N7979, M38_888_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_888_8)))
% 293.42/42.86 -> [22259] left_convergent_lines(skolem_N7979, M38_888_8)
% 293.42/42.86 -> [22260] left_convergent_lines(skolem_N7979, reverse_line(M38_888_8))
% 293.42/42.86
% 293.42/42.86 [22260] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [22374] ~(left_apart_point(A39_1731_9, L40_1731_9) | left_apart_point(A39_1731_9, reverse_line(L40_1731_9)))
% 293.42/42.86
% 293.42/42.86 [22374] ALPHA_NOT_OR : ~(left_apart_point(A39_1731_9, L40_1731_9) | left_apart_point(A39_1731_9, reverse_line(L40_1731_9)))
% 293.42/42.86 -> [22377] ~left_apart_point(A39_1731_9, L40_1731_9), ~left_apart_point(A39_1731_9, reverse_line(L40_1731_9))
% 293.42/42.86
% 293.42/42.86 [22377] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.86 -> [24045] ~(left_convergent_lines(L41_230_10, M42_230_10) | left_convergent_lines(L41_230_10, reverse_line(M42_230_10)))
% 293.42/42.86
% 293.42/42.86 [24045] ALPHA_NOT_OR : ~(left_convergent_lines(L41_230_10, M42_230_10) | left_convergent_lines(L41_230_10, reverse_line(M42_230_10)))
% 293.42/42.86 -> [24047] ~left_convergent_lines(L41_230_10, M42_230_10), ~left_convergent_lines(L41_230_10, reverse_line(M42_230_10))
% 293.42/42.86
% 293.42/42.86 [24047] CLOSURE : ~left_convergent_lines(L41_230_10, M42_230_10)
% 293.42/42.86
% 293.42/42.86 [22259] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [23864] ~(left_apart_point(A39_1941_9, L40_1941_9) | left_apart_point(A39_1941_9, reverse_line(L40_1941_9)))
% 293.42/42.86
% 293.42/42.86 [23864] ALPHA_NOT_OR : ~(left_apart_point(A39_1941_9, L40_1941_9) | left_apart_point(A39_1941_9, reverse_line(L40_1941_9)))
% 293.42/42.86 -> [23866] ~left_apart_point(A39_1941_9, L40_1941_9), ~left_apart_point(A39_1941_9, reverse_line(L40_1941_9))
% 293.42/42.86
% 293.42/42.86 [23866] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.86 -> [24214] ~(left_convergent_lines(L41_231_10, M42_231_10) | left_convergent_lines(L41_231_10, reverse_line(M42_231_10)))
% 293.42/42.86
% 293.42/42.86 [24214] ALPHA_NOT_OR : ~(left_convergent_lines(L41_231_10, M42_231_10) | left_convergent_lines(L41_231_10, reverse_line(M42_231_10)))
% 293.42/42.86 -> [24215] ~left_convergent_lines(L41_231_10, M42_231_10), ~left_convergent_lines(L41_231_10, reverse_line(M42_231_10))
% 293.42/42.86
% 293.42/42.86 [24215] CLOSURE : ~left_convergent_lines(L41_231_10, M42_231_10)
% 293.42/42.86
% 293.42/42.86 [22253] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_888_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_888_8)))
% 293.42/42.86 -> [22289] ~unequally_directed_lines(skolem_N7979, M38_888_8)
% 293.42/42.86 -> [22290] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_888_8))
% 293.42/42.86
% 293.42/42.86 [22290] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_888_8))
% 293.42/42.86
% 293.42/42.86 [22289] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_888_8)
% 293.42/42.86
% 293.42/42.86 [3007] 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)))
% 293.42/42.86 -> [3008] (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)))
% 293.42/42.86
% 293.42/42.86 [3008] 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)))
% 293.42/42.86 -> [3012] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 293.42/42.86 -> [3013] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [3012] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.86 -> [3096] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.86
% 293.42/42.86 [3096] 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))))
% 293.42/42.86 -> [3162] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.86
% 293.42/42.86 [3162] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.86 -> [3163] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.86 -> [3164] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.86
% 293.42/42.86 [3163] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.86
% 293.42/42.86 [3164] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.86 -> [3947] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.86 -> [3948] distinct_points(skolem_C8282, skolem_B8181)
% 293.42/42.86
% 293.42/42.86 [3947] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.86
% 293.42/42.86 [3948] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.86 -> [4157] ~distinct_lines(N27_91_3, N27_91_3)
% 293.42/42.86
% 293.42/42.86 [4157] 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))))
% 293.42/42.86 -> [4168] (distinct_lines(N27_91_3, N27_91_3) => (distinct_lines(N27_91_3, N27_91_3) | distinct_lines(N27_91_3, N27_91_3)))
% 293.42/42.86
% 293.42/42.86 [4168] 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)))
% 293.42/42.86 -> [4169] ~distinct_lines(N27_91_3, N27_91_3)
% 293.42/42.86 -> [4170] (distinct_lines(N27_91_3, N27_91_3) | distinct_lines(N27_91_3, N27_91_3))
% 293.42/42.86
% 293.42/42.86 [4170] BETA_OR : (distinct_lines(N27_91_3, N27_91_3) | distinct_lines(N27_91_3, N27_91_3))
% 293.42/42.86 -> [4171] distinct_lines(N27_91_3, N27_91_3)
% 293.42/42.86 -> [4172] distinct_lines(N27_91_3, N27_91_3)
% 293.42/42.86
% 293.42/42.86 [4172] CLOSURE : distinct_lines(N27_91_3, N27_91_3)
% 293.42/42.86
% 293.42/42.86 [4171] CLOSURE : distinct_lines(N27_91_3, N27_91_3)
% 293.42/42.86
% 293.42/42.86 [4169] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.86 -> [4210] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [4210] 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))))
% 293.42/42.86 -> [5289] (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))))
% 293.42/42.86
% 293.42/42.86 [5289] 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))))
% 293.42/42.86 -> [5290] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86 -> [5291] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.86
% 293.42/42.86 [5290] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [5291] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.86 -> [8121] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86 -> [8122] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [8122] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [8121] 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))))))
% 293.42/42.86 -> [15816] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_219_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_219_6))) | (unequally_directed_lines(skolem_N7979, N34_219_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_219_6)))))
% 293.42/42.86
% 293.42/42.86 [15816] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_219_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_219_6))) | (unequally_directed_lines(skolem_N7979, N34_219_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_219_6)))))
% 293.42/42.86 -> [15818] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [15819] ((unequally_directed_lines(skolem_M7878, N34_219_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_219_6))) | (unequally_directed_lines(skolem_N7979, N34_219_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_219_6))))
% 293.42/42.86
% 293.42/42.86 [15818] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [15980] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86 -> [15981] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [15980] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86
% 293.42/42.86 [15981] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [15819] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_219_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_219_6))) | (unequally_directed_lines(skolem_N7979, N34_219_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_219_6))))
% 293.42/42.86 -> [18982] (unequally_directed_lines(skolem_M7878, N34_219_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_219_6)))
% 293.42/42.86 -> [18983] (unequally_directed_lines(skolem_N7979, N34_219_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_219_6)))
% 293.42/42.86
% 293.42/42.86 [18983] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_219_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_219_6)))
% 293.42/42.86 -> [18984] unequally_directed_lines(skolem_N7979, N34_219_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_219_6))
% 293.42/42.86
% 293.42/42.86 [18984] 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)))))
% 293.42/42.86 -> [19093] ((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))))
% 293.42/42.86
% 293.42/42.86 [19093] 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))))
% 293.42/42.86 -> [19098] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.86 -> [19099] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.86
% 293.42/42.86 [19098] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.86 -> [19120] ~line(reverse_line(skolem_N7979))
% 293.42/42.86 -> [19121] ~line(skolem_N7979)
% 293.42/42.86
% 293.42/42.86 [19121] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [19163] ((unequally_directed_lines(skolem_N7979, M38_686_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_686_8))) => (left_convergent_lines(skolem_N7979, M38_686_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_686_8))))
% 293.42/42.86
% 293.42/42.86 [19163] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_686_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_686_8))) => (left_convergent_lines(skolem_N7979, M38_686_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_686_8))))
% 293.42/42.86 -> [19167] ~(unequally_directed_lines(skolem_N7979, M38_686_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_686_8)))
% 293.42/42.86 -> [19168] (left_convergent_lines(skolem_N7979, M38_686_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_686_8)))
% 293.42/42.86
% 293.42/42.86 [19168] BETA_OR : (left_convergent_lines(skolem_N7979, M38_686_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_686_8)))
% 293.42/42.86 -> [19171] left_convergent_lines(skolem_N7979, M38_686_8)
% 293.42/42.86 -> [19172] left_convergent_lines(skolem_N7979, reverse_line(M38_686_8))
% 293.42/42.86
% 293.42/42.86 [19172] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [19261] ~(left_apart_point(A39_1321_9, L40_1321_9) | left_apart_point(A39_1321_9, reverse_line(L40_1321_9)))
% 293.42/42.86
% 293.42/42.86 [19261] ALPHA_NOT_OR : ~(left_apart_point(A39_1321_9, L40_1321_9) | left_apart_point(A39_1321_9, reverse_line(L40_1321_9)))
% 293.42/42.86 -> [19262] ~left_apart_point(A39_1321_9, L40_1321_9), ~left_apart_point(A39_1321_9, reverse_line(L40_1321_9))
% 293.42/42.86
% 293.42/42.86 [19262] CLOSURE : ~left_apart_point(A39_1321_9, L40_1321_9)
% 293.42/42.86
% 293.42/42.86 [19171] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [19306] ~(left_apart_point(A39_1331_9, L40_1331_9) | left_apart_point(A39_1331_9, reverse_line(L40_1331_9)))
% 293.42/42.86
% 293.42/42.86 [19306] ALPHA_NOT_OR : ~(left_apart_point(A39_1331_9, L40_1331_9) | left_apart_point(A39_1331_9, reverse_line(L40_1331_9)))
% 293.42/42.86 -> [19307] ~left_apart_point(A39_1331_9, L40_1331_9), ~left_apart_point(A39_1331_9, reverse_line(L40_1331_9))
% 293.42/42.86
% 293.42/42.86 [19307] CLOSURE : ~left_apart_point(A39_1331_9, L40_1331_9)
% 293.42/42.86
% 293.42/42.86 [19167] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_686_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_686_8)))
% 293.42/42.86 -> [19201] ~unequally_directed_lines(skolem_N7979, M38_686_8)
% 293.42/42.86 -> [19202] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_686_8))
% 293.42/42.86
% 293.42/42.86 [19202] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_686_8))
% 293.42/42.86
% 293.42/42.86 [19201] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_686_8)
% 293.42/42.86
% 293.42/42.86 [19120] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [19188] ((unequally_directed_lines(skolem_N7979, M38_688_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_688_8))) => (left_convergent_lines(skolem_N7979, M38_688_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_688_8))))
% 293.42/42.86
% 293.42/42.86 [19188] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_688_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_688_8))) => (left_convergent_lines(skolem_N7979, M38_688_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_688_8))))
% 293.42/42.86 -> [19190] ~(unequally_directed_lines(skolem_N7979, M38_688_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_688_8)))
% 293.42/42.86 -> [19191] (left_convergent_lines(skolem_N7979, M38_688_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_688_8)))
% 293.42/42.86
% 293.42/42.86 [19191] BETA_OR : (left_convergent_lines(skolem_N7979, M38_688_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_688_8)))
% 293.42/42.86 -> [19197] left_convergent_lines(skolem_N7979, M38_688_8)
% 293.42/42.86 -> [19198] left_convergent_lines(skolem_N7979, reverse_line(M38_688_8))
% 293.42/42.86
% 293.42/42.86 [19198] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [19301] ~(left_apart_point(A39_1330_9, L40_1330_9) | left_apart_point(A39_1330_9, reverse_line(L40_1330_9)))
% 293.42/42.86
% 293.42/42.86 [19301] ALPHA_NOT_OR : ~(left_apart_point(A39_1330_9, L40_1330_9) | left_apart_point(A39_1330_9, reverse_line(L40_1330_9)))
% 293.42/42.86 -> [19303] ~left_apart_point(A39_1330_9, L40_1330_9), ~left_apart_point(A39_1330_9, reverse_line(L40_1330_9))
% 293.42/42.86
% 293.42/42.86 [19303] CLOSURE : ~left_apart_point(A39_1330_9, L40_1330_9)
% 293.42/42.86
% 293.42/42.86 [19197] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [19330] ~(left_apart_point(A39_1334_9, L40_1334_9) | left_apart_point(A39_1334_9, reverse_line(L40_1334_9)))
% 293.42/42.86
% 293.42/42.86 [19330] ALPHA_NOT_OR : ~(left_apart_point(A39_1334_9, L40_1334_9) | left_apart_point(A39_1334_9, reverse_line(L40_1334_9)))
% 293.42/42.86 -> [19332] ~left_apart_point(A39_1334_9, L40_1334_9), ~left_apart_point(A39_1334_9, reverse_line(L40_1334_9))
% 293.42/42.86
% 293.42/42.86 [19332] CLOSURE : ~left_apart_point(A39_1334_9, L40_1334_9)
% 293.42/42.86
% 293.42/42.86 [19190] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_688_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_688_8)))
% 293.42/42.86 -> [19218] ~unequally_directed_lines(skolem_N7979, M38_688_8)
% 293.42/42.86 -> [19219] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_688_8))
% 293.42/42.86
% 293.42/42.86 [19219] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_688_8))
% 293.42/42.86
% 293.42/42.86 [19218] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_688_8)
% 293.42/42.86
% 293.42/42.86 [19099] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.86 -> [19102] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 293.42/42.86 -> [19103] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [19103] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [19102] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [20203] ((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))))
% 293.42/42.86
% 293.42/42.86 [20203] 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))))
% 293.42/42.86 -> [20206] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [20207] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86
% 293.42/42.86 [20207] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [20208] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86 -> [20209] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [20209] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [20310] ~(left_apart_point(A39_1458_9, L40_1458_9) | left_apart_point(A39_1458_9, reverse_line(L40_1458_9)))
% 293.42/42.86
% 293.42/42.86 [20310] ALPHA_NOT_OR : ~(left_apart_point(A39_1458_9, L40_1458_9) | left_apart_point(A39_1458_9, reverse_line(L40_1458_9)))
% 293.42/42.86 -> [20311] ~left_apart_point(A39_1458_9, L40_1458_9), ~left_apart_point(A39_1458_9, reverse_line(L40_1458_9))
% 293.42/42.86
% 293.42/42.86 [20311] CLOSURE : ~left_apart_point(A39_1458_9, L40_1458_9)
% 293.42/42.86
% 293.42/42.86 [20208] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [20319] ~(left_apart_point(A39_1461_9, L40_1461_9) | left_apart_point(A39_1461_9, reverse_line(L40_1461_9)))
% 293.42/42.86
% 293.42/42.86 [20319] ALPHA_NOT_OR : ~(left_apart_point(A39_1461_9, L40_1461_9) | left_apart_point(A39_1461_9, reverse_line(L40_1461_9)))
% 293.42/42.86 -> [20321] ~left_apart_point(A39_1461_9, L40_1461_9), ~left_apart_point(A39_1461_9, reverse_line(L40_1461_9))
% 293.42/42.86
% 293.42/42.86 [20321] CLOSURE : ~left_apart_point(A39_1461_9, L40_1461_9)
% 293.42/42.86
% 293.42/42.86 [20206] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [20219] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86 -> [20220] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [20220] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [20219] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86
% 293.42/42.86 [18982] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_219_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_219_6)))
% 293.42/42.86 -> [18994] unequally_directed_lines(skolem_M7878, N34_219_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_219_6))
% 293.42/42.86
% 293.42/42.86 [18994] 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)))))
% 293.42/42.86 -> [19106] ((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))))
% 293.42/42.86
% 293.42/42.86 [19106] 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))))
% 293.42/42.86 -> [19110] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.86 -> [19111] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.86
% 293.42/42.86 [19110] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.86 -> [19115] ~line(reverse_line(skolem_N7979))
% 293.42/42.86 -> [19116] ~line(skolem_N7979)
% 293.42/42.86
% 293.42/42.86 [19116] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [19150] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.86
% 293.42/42.86 [19150] 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))))
% 293.42/42.86 -> [19153] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [19154] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86
% 293.42/42.86 [19154] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [19157] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.86 -> [19158] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [19157] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [19281] ~(left_apart_point(A39_1325_9, L40_1325_9) | left_apart_point(A39_1325_9, reverse_line(L40_1325_9)))
% 293.42/42.86
% 293.42/42.86 [19281] ALPHA_NOT_OR : ~(left_apart_point(A39_1325_9, L40_1325_9) | left_apart_point(A39_1325_9, reverse_line(L40_1325_9)))
% 293.42/42.86 -> [19284] ~left_apart_point(A39_1325_9, L40_1325_9), ~left_apart_point(A39_1325_9, reverse_line(L40_1325_9))
% 293.42/42.86
% 293.42/42.86 [19284] CLOSURE : ~left_apart_point(A39_1325_9, L40_1325_9)
% 293.42/42.86
% 293.42/42.86 [19158] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [19289] ~(left_apart_point(A39_1327_9, L40_1327_9) | left_apart_point(A39_1327_9, reverse_line(L40_1327_9)))
% 293.42/42.86
% 293.42/42.86 [19289] ALPHA_NOT_OR : ~(left_apart_point(A39_1327_9, L40_1327_9) | left_apart_point(A39_1327_9, reverse_line(L40_1327_9)))
% 293.42/42.86 -> [19293] ~left_apart_point(A39_1327_9, L40_1327_9), ~left_apart_point(A39_1327_9, reverse_line(L40_1327_9))
% 293.42/42.86
% 293.42/42.86 [19293] CLOSURE : ~left_apart_point(A39_1327_9, L40_1327_9)
% 293.42/42.86
% 293.42/42.86 [19153] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [19184] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.86 -> [19185] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [19185] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [19184] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [19115] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [19175] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.86
% 293.42/42.86 [19175] 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))))
% 293.42/42.86 -> [19176] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [19177] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86
% 293.42/42.86 [19177] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [19180] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.86 -> [19181] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [19180] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [19319] ~(left_apart_point(A39_1332_9, L40_1332_9) | left_apart_point(A39_1332_9, reverse_line(L40_1332_9)))
% 293.42/42.86
% 293.42/42.86 [19319] ALPHA_NOT_OR : ~(left_apart_point(A39_1332_9, L40_1332_9) | left_apart_point(A39_1332_9, reverse_line(L40_1332_9)))
% 293.42/42.86 -> [19323] ~left_apart_point(A39_1332_9, L40_1332_9), ~left_apart_point(A39_1332_9, reverse_line(L40_1332_9))
% 293.42/42.86
% 293.42/42.86 [19323] CLOSURE : ~left_apart_point(A39_1332_9, L40_1332_9)
% 293.42/42.86
% 293.42/42.86 [19181] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [19273] ~(left_apart_point(A39_1322_9, L40_1322_9) | left_apart_point(A39_1322_9, reverse_line(L40_1322_9)))
% 293.42/42.86
% 293.42/42.86 [19273] ALPHA_NOT_OR : ~(left_apart_point(A39_1322_9, L40_1322_9) | left_apart_point(A39_1322_9, reverse_line(L40_1322_9)))
% 293.42/42.86 -> [19276] ~left_apart_point(A39_1322_9, L40_1322_9), ~left_apart_point(A39_1322_9, reverse_line(L40_1322_9))
% 293.42/42.86
% 293.42/42.86 [19276] CLOSURE : ~left_apart_point(A39_1322_9, L40_1322_9)
% 293.42/42.86
% 293.42/42.86 [19176] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [19210] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.86 -> [19211] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [19211] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [19210] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [19111] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.86 -> [19663] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 293.42/42.86 -> [19664] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [19664] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [19663] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [21361] ((unequally_directed_lines(skolem_M7878, M38_833_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_833_8))) => (left_convergent_lines(skolem_M7878, M38_833_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_833_8))))
% 293.42/42.86
% 293.42/42.86 [21361] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_833_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_833_8))) => (left_convergent_lines(skolem_M7878, M38_833_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_833_8))))
% 293.42/42.86 -> [21367] ~(unequally_directed_lines(skolem_M7878, M38_833_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_833_8)))
% 293.42/42.86 -> [21368] (left_convergent_lines(skolem_M7878, M38_833_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_833_8)))
% 293.42/42.86
% 293.42/42.86 [21367] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_833_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_833_8)))
% 293.42/42.86 -> [21407] ~unequally_directed_lines(skolem_M7878, M38_833_8)
% 293.42/42.86 -> [21408] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_833_8))
% 293.42/42.86
% 293.42/42.86 [21408] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_833_8))
% 293.42/42.86
% 293.42/42.86 [21407] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_833_8)
% 293.42/42.86
% 293.42/42.86 [21368] BETA_OR : (left_convergent_lines(skolem_M7878, M38_833_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_833_8)))
% 293.42/42.86 -> [21373] left_convergent_lines(skolem_M7878, M38_833_8)
% 293.42/42.86 -> [21374] left_convergent_lines(skolem_M7878, reverse_line(M38_833_8))
% 293.42/42.86
% 293.42/42.86 [21374] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [21553] ~(left_apart_point(A39_1603_9, L40_1603_9) | left_apart_point(A39_1603_9, reverse_line(L40_1603_9)))
% 293.42/42.86
% 293.42/42.86 [21553] ALPHA_NOT_OR : ~(left_apart_point(A39_1603_9, L40_1603_9) | left_apart_point(A39_1603_9, reverse_line(L40_1603_9)))
% 293.42/42.86 -> [21554] ~left_apart_point(A39_1603_9, L40_1603_9), ~left_apart_point(A39_1603_9, reverse_line(L40_1603_9))
% 293.42/42.86
% 293.42/42.86 [21554] CLOSURE : ~left_apart_point(A39_1603_9, L40_1603_9)
% 293.42/42.86
% 293.42/42.86 [21373] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [21592] ~(left_apart_point(A39_1607_9, L40_1607_9) | left_apart_point(A39_1607_9, reverse_line(L40_1607_9)))
% 293.42/42.86
% 293.42/42.86 [21592] ALPHA_NOT_OR : ~(left_apart_point(A39_1607_9, L40_1607_9) | left_apart_point(A39_1607_9, reverse_line(L40_1607_9)))
% 293.42/42.86 -> [21593] ~left_apart_point(A39_1607_9, L40_1607_9), ~left_apart_point(A39_1607_9, reverse_line(L40_1607_9))
% 293.42/42.86
% 293.42/42.86 [21593] CLOSURE : ~left_apart_point(A39_1607_9, L40_1607_9)
% 293.42/42.86
% 293.42/42.86 [3013] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.86 -> [3072] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.86
% 293.42/42.86 [3072] 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))))
% 293.42/42.86 -> [3134] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.86
% 293.42/42.86 [3134] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.86 -> [3135] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.86 -> [3136] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.86
% 293.42/42.86 [3135] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.86
% 293.42/42.86 [3136] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.86 -> [3508] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.86 -> [3509] distinct_points(skolem_C8282, skolem_B8181)
% 293.42/42.86
% 293.42/42.86 [3508] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.86
% 293.42/42.86 [3509] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.86 -> [3773] ~distinct_lines(N27_76_3, N27_76_3)
% 293.42/42.86
% 293.42/42.86 [3773] 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))))
% 293.42/42.86 -> [3800] (distinct_lines(N27_76_3, N27_76_3) => (distinct_lines(N27_76_3, N27_76_3) | distinct_lines(N27_76_3, N27_76_3)))
% 293.42/42.86
% 293.42/42.86 [3800] 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)))
% 293.42/42.86 -> [3801] ~distinct_lines(N27_76_3, N27_76_3)
% 293.42/42.86 -> [3802] (distinct_lines(N27_76_3, N27_76_3) | distinct_lines(N27_76_3, N27_76_3))
% 293.42/42.86
% 293.42/42.86 [3802] BETA_OR : (distinct_lines(N27_76_3, N27_76_3) | distinct_lines(N27_76_3, N27_76_3))
% 293.42/42.86 -> [3805] distinct_lines(N27_76_3, N27_76_3)
% 293.42/42.86 -> [3806] distinct_lines(N27_76_3, N27_76_3)
% 293.42/42.86
% 293.42/42.86 [3805] CLOSURE : distinct_lines(N27_76_3, N27_76_3)
% 293.42/42.86
% 293.42/42.86 [3806] CLOSURE : distinct_lines(N27_76_3, N27_76_3)
% 293.42/42.86
% 293.42/42.86 [3801] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.86 -> [3851] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [3851] 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))))
% 293.42/42.86 -> [3887] (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))))
% 293.42/42.86
% 293.42/42.86 [3887] 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))))
% 293.42/42.86 -> [3890] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86 -> [3891] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.86
% 293.42/42.86 [3890] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [3891] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.86 -> [7931] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86 -> [7932] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [7932] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [7931] 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))))))
% 293.42/42.86 -> [10744] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_131_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_131_6))) | (unequally_directed_lines(skolem_N7979, N34_131_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_131_6)))))
% 293.42/42.86
% 293.42/42.86 [10744] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_131_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_131_6))) | (unequally_directed_lines(skolem_N7979, N34_131_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_131_6)))))
% 293.42/42.86 -> [10747] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [10748] ((unequally_directed_lines(skolem_M7878, N34_131_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_131_6))) | (unequally_directed_lines(skolem_N7979, N34_131_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_131_6))))
% 293.42/42.86
% 293.42/42.86 [10747] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [10770] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86 -> [10771] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [10771] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [10770] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86
% 293.42/42.86 [10748] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_131_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_131_6))) | (unequally_directed_lines(skolem_N7979, N34_131_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_131_6))))
% 293.42/42.86 -> [18445] (unequally_directed_lines(skolem_M7878, N34_131_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_131_6)))
% 293.42/42.86 -> [18446] (unequally_directed_lines(skolem_N7979, N34_131_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_131_6)))
% 293.42/42.86
% 293.42/42.86 [18446] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_131_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_131_6)))
% 293.42/42.86 -> [18449] unequally_directed_lines(skolem_N7979, N34_131_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_131_6))
% 293.42/42.86
% 293.42/42.86 [18449] 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)))))
% 293.42/42.86 -> [18908] ((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))))
% 293.42/42.86
% 293.42/42.86 [18908] 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))))
% 293.42/42.86 -> [18909] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.86 -> [18910] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.86
% 293.42/42.86 [18910] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.86 -> [18912] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 293.42/42.86 -> [18913] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [18913] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [18912] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [20142] ((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))))
% 293.42/42.86
% 293.42/42.86 [20142] 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))))
% 293.42/42.86 -> [20145] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [20146] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86
% 293.42/42.86 [20145] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [20170] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86 -> [20171] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [20171] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [20170] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86
% 293.42/42.86 [20146] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [20153] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86 -> [20154] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [20154] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [20243] ~(left_apart_point(A39_1445_9, L40_1445_9) | left_apart_point(A39_1445_9, reverse_line(L40_1445_9)))
% 293.42/42.86
% 293.42/42.86 [20243] ALPHA_NOT_OR : ~(left_apart_point(A39_1445_9, L40_1445_9) | left_apart_point(A39_1445_9, reverse_line(L40_1445_9)))
% 293.42/42.86 -> [20246] ~left_apart_point(A39_1445_9, L40_1445_9), ~left_apart_point(A39_1445_9, reverse_line(L40_1445_9))
% 293.42/42.86
% 293.42/42.86 [20246] CLOSURE : ~left_apart_point(A39_1445_9, L40_1445_9)
% 293.42/42.86
% 293.42/42.86 [20153] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [20293] ~(left_apart_point(A39_1454_9, L40_1454_9) | left_apart_point(A39_1454_9, reverse_line(L40_1454_9)))
% 293.42/42.86
% 293.42/42.86 [20293] ALPHA_NOT_OR : ~(left_apart_point(A39_1454_9, L40_1454_9) | left_apart_point(A39_1454_9, reverse_line(L40_1454_9)))
% 293.42/42.86 -> [20297] ~left_apart_point(A39_1454_9, L40_1454_9), ~left_apart_point(A39_1454_9, reverse_line(L40_1454_9))
% 293.42/42.86
% 293.42/42.86 [20297] CLOSURE : ~left_apart_point(A39_1454_9, L40_1454_9)
% 293.42/42.86
% 293.42/42.86 [18909] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.86 -> [18933] ~line(reverse_line(skolem_N7979))
% 293.42/42.86 -> [18934] ~line(skolem_N7979)
% 293.42/42.86
% 293.42/42.86 [18933] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [19092] ((unequally_directed_lines(skolem_N7979, M38_682_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_682_8))) => (left_convergent_lines(skolem_N7979, M38_682_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_682_8))))
% 293.42/42.86
% 293.42/42.86 [19092] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_682_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_682_8))) => (left_convergent_lines(skolem_N7979, M38_682_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_682_8))))
% 293.42/42.86 -> [19096] ~(unequally_directed_lines(skolem_N7979, M38_682_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_682_8)))
% 293.42/42.86 -> [19097] (left_convergent_lines(skolem_N7979, M38_682_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_682_8)))
% 293.42/42.86
% 293.42/42.86 [19097] BETA_OR : (left_convergent_lines(skolem_N7979, M38_682_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_682_8)))
% 293.42/42.86 -> [19100] left_convergent_lines(skolem_N7979, M38_682_8)
% 293.42/42.86 -> [19101] left_convergent_lines(skolem_N7979, reverse_line(M38_682_8))
% 293.42/42.86
% 293.42/42.86 [19101] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [19173] ~(left_apart_point(A39_1306_9, L40_1306_9) | left_apart_point(A39_1306_9, reverse_line(L40_1306_9)))
% 293.42/42.86
% 293.42/42.86 [19173] ALPHA_NOT_OR : ~(left_apart_point(A39_1306_9, L40_1306_9) | left_apart_point(A39_1306_9, reverse_line(L40_1306_9)))
% 293.42/42.86 -> [19174] ~left_apart_point(A39_1306_9, L40_1306_9), ~left_apart_point(A39_1306_9, reverse_line(L40_1306_9))
% 293.42/42.86
% 293.42/42.86 [19174] CLOSURE : ~left_apart_point(A39_1306_9, L40_1306_9)
% 293.42/42.86
% 293.42/42.86 [19100] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [19189] ~(left_apart_point(A39_1309_9, L40_1309_9) | left_apart_point(A39_1309_9, reverse_line(L40_1309_9)))
% 293.42/42.86
% 293.42/42.86 [19189] ALPHA_NOT_OR : ~(left_apart_point(A39_1309_9, L40_1309_9) | left_apart_point(A39_1309_9, reverse_line(L40_1309_9)))
% 293.42/42.86 -> [19193] ~left_apart_point(A39_1309_9, L40_1309_9), ~left_apart_point(A39_1309_9, reverse_line(L40_1309_9))
% 293.42/42.86
% 293.42/42.86 [19193] CLOSURE : ~left_apart_point(A39_1309_9, L40_1309_9)
% 293.42/42.86
% 293.42/42.86 [19096] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_682_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_682_8)))
% 293.42/42.86 -> [19123] ~unequally_directed_lines(skolem_N7979, M38_682_8)
% 293.42/42.86 -> [19124] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_682_8))
% 293.42/42.86
% 293.42/42.86 [19124] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_682_8))
% 293.42/42.86
% 293.42/42.86 [19123] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_682_8)
% 293.42/42.86
% 293.42/42.86 [18934] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [19029] ((unequally_directed_lines(skolem_N7979, M38_678_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_678_8))) => (left_convergent_lines(skolem_N7979, M38_678_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_678_8))))
% 293.42/42.86
% 293.42/42.86 [19029] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_678_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_678_8))) => (left_convergent_lines(skolem_N7979, M38_678_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_678_8))))
% 293.42/42.86 -> [19035] ~(unequally_directed_lines(skolem_N7979, M38_678_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_678_8)))
% 293.42/42.86 -> [19036] (left_convergent_lines(skolem_N7979, M38_678_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_678_8)))
% 293.42/42.86
% 293.42/42.86 [19035] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_678_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_678_8)))
% 293.42/42.86 -> [19074] ~unequally_directed_lines(skolem_N7979, M38_678_8)
% 293.42/42.86 -> [19075] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_678_8))
% 293.42/42.86
% 293.42/42.86 [19075] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_678_8))
% 293.42/42.86
% 293.42/42.86 [19074] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_678_8)
% 293.42/42.86
% 293.42/42.86 [19036] BETA_OR : (left_convergent_lines(skolem_N7979, M38_678_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_678_8)))
% 293.42/42.86 -> [19038] left_convergent_lines(skolem_N7979, M38_678_8)
% 293.42/42.86 -> [19039] left_convergent_lines(skolem_N7979, reverse_line(M38_678_8))
% 293.42/42.86
% 293.42/42.86 [19039] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [19162] ~(left_apart_point(A39_1305_9, L40_1305_9) | left_apart_point(A39_1305_9, reverse_line(L40_1305_9)))
% 293.42/42.86
% 293.42/42.86 [19162] ALPHA_NOT_OR : ~(left_apart_point(A39_1305_9, L40_1305_9) | left_apart_point(A39_1305_9, reverse_line(L40_1305_9)))
% 293.42/42.86 -> [19166] ~left_apart_point(A39_1305_9, L40_1305_9), ~left_apart_point(A39_1305_9, reverse_line(L40_1305_9))
% 293.42/42.86
% 293.42/42.86 [19166] CLOSURE : ~left_apart_point(A39_1305_9, L40_1305_9)
% 293.42/42.86
% 293.42/42.86 [19038] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [20263] ~(left_apart_point(A39_1448_9, L40_1448_9) | left_apart_point(A39_1448_9, reverse_line(L40_1448_9)))
% 293.42/42.86
% 293.42/42.86 [20263] ALPHA_NOT_OR : ~(left_apart_point(A39_1448_9, L40_1448_9) | left_apart_point(A39_1448_9, reverse_line(L40_1448_9)))
% 293.42/42.86 -> [20266] ~left_apart_point(A39_1448_9, L40_1448_9), ~left_apart_point(A39_1448_9, reverse_line(L40_1448_9))
% 293.42/42.86
% 293.42/42.86 [20266] CLOSURE : ~left_apart_point(A39_1448_9, L40_1448_9)
% 293.42/42.86
% 293.42/42.86 [18445] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_131_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_131_6)))
% 293.42/42.86 -> [18456] unequally_directed_lines(skolem_M7878, N34_131_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_131_6))
% 293.42/42.86
% 293.42/42.86 [18456] 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)))))
% 293.42/42.86 -> [18926] ((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)))))
% 293.42/42.86
% 293.42/42.86 [18926] 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)))))
% 293.42/42.86 -> [18929] ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.86 -> [18930] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 293.42/42.86
% 293.42/42.86 [18929] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.86 -> [18989] ~line(reverse_line(skolem_N7979))
% 293.42/42.86 -> [18990] ~line(reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [18989] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [19331] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.86
% 293.42/42.86 [19331] 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))))
% 293.42/42.86 -> [19334] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [19335] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86
% 293.42/42.86 [19335] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [19340] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.86 -> [19341] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [19341] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [19368] ~(left_apart_point(A39_1337_9, L40_1337_9) | left_apart_point(A39_1337_9, reverse_line(L40_1337_9)))
% 293.42/42.86
% 293.42/42.86 [19368] ALPHA_NOT_OR : ~(left_apart_point(A39_1337_9, L40_1337_9) | left_apart_point(A39_1337_9, reverse_line(L40_1337_9)))
% 293.42/42.86 -> [19372] ~left_apart_point(A39_1337_9, L40_1337_9), ~left_apart_point(A39_1337_9, reverse_line(L40_1337_9))
% 293.42/42.86
% 293.42/42.86 [19372] CLOSURE : ~left_apart_point(A39_1337_9, L40_1337_9)
% 293.42/42.86
% 293.42/42.86 [19340] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [19377] ~(left_apart_point(A39_1338_9, L40_1338_9) | left_apart_point(A39_1338_9, reverse_line(L40_1338_9)))
% 293.42/42.86
% 293.42/42.86 [19377] ALPHA_NOT_OR : ~(left_apart_point(A39_1338_9, L40_1338_9) | left_apart_point(A39_1338_9, reverse_line(L40_1338_9)))
% 293.42/42.86 -> [19378] ~left_apart_point(A39_1338_9, L40_1338_9), ~left_apart_point(A39_1338_9, reverse_line(L40_1338_9))
% 293.42/42.86
% 293.42/42.86 [19378] CLOSURE : ~left_apart_point(A39_1338_9, L40_1338_9)
% 293.42/42.86
% 293.42/42.86 [19334] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [19345] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.86 -> [19346] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [19346] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [19345] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [18990] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [19342] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.86
% 293.42/42.86 [19342] 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))))
% 293.42/42.86 -> [19343] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [19344] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86
% 293.42/42.86 [19344] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [19350] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.86 -> [19351] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [19351] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [19418] ~(left_apart_point(A39_1341_9, L40_1341_9) | left_apart_point(A39_1341_9, reverse_line(L40_1341_9)))
% 293.42/42.86
% 293.42/42.86 [19418] ALPHA_NOT_OR : ~(left_apart_point(A39_1341_9, L40_1341_9) | left_apart_point(A39_1341_9, reverse_line(L40_1341_9)))
% 293.42/42.86 -> [19422] ~left_apart_point(A39_1341_9, L40_1341_9), ~left_apart_point(A39_1341_9, reverse_line(L40_1341_9))
% 293.42/42.86
% 293.42/42.86 [19422] CLOSURE : ~left_apart_point(A39_1341_9, L40_1341_9)
% 293.42/42.86
% 293.42/42.86 [19350] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [19453] ~(left_apart_point(A39_1346_9, L40_1346_9) | left_apart_point(A39_1346_9, reverse_line(L40_1346_9)))
% 293.42/42.86
% 293.42/42.86 [19453] ALPHA_NOT_OR : ~(left_apart_point(A39_1346_9, L40_1346_9) | left_apart_point(A39_1346_9, reverse_line(L40_1346_9)))
% 293.42/42.86 -> [19454] ~left_apart_point(A39_1346_9, L40_1346_9), ~left_apart_point(A39_1346_9, reverse_line(L40_1346_9))
% 293.42/42.86
% 293.42/42.86 [19454] CLOSURE : ~left_apart_point(A39_1346_9, L40_1346_9)
% 293.42/42.86
% 293.42/42.86 [19343] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [19382] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.86 -> [19383] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [19383] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [19382] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [18930] 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))))
% 293.42/42.86 -> [18936] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.86 -> [18937] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 293.42/42.86
% 293.42/42.86 [18936] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [18937] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [22199] ((unequally_directed_lines(skolem_M7878, M38_885_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_885_8))) => (left_convergent_lines(skolem_M7878, M38_885_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_885_8))))
% 293.42/42.86
% 293.42/42.86 [22199] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_885_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_885_8))) => (left_convergent_lines(skolem_M7878, M38_885_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_885_8))))
% 293.42/42.86 -> [22201] ~(unequally_directed_lines(skolem_M7878, M38_885_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_885_8)))
% 293.42/42.86 -> [22202] (left_convergent_lines(skolem_M7878, M38_885_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_885_8)))
% 293.42/42.86
% 293.42/42.86 [22201] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_885_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_885_8)))
% 293.42/42.86 -> [22243] ~unequally_directed_lines(skolem_M7878, M38_885_8)
% 293.42/42.86 -> [22244] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_885_8))
% 293.42/42.86
% 293.42/42.86 [22244] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_885_8))
% 293.42/42.86
% 293.42/42.86 [22243] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_885_8)
% 293.42/42.86
% 293.42/42.86 [22202] BETA_OR : (left_convergent_lines(skolem_M7878, M38_885_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_885_8)))
% 293.42/42.86 -> [22205] left_convergent_lines(skolem_M7878, M38_885_8)
% 293.42/42.86 -> [22206] left_convergent_lines(skolem_M7878, reverse_line(M38_885_8))
% 293.42/42.86
% 293.42/42.86 [22206] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [22400] ~(left_apart_point(A39_1736_9, L40_1736_9) | left_apart_point(A39_1736_9, reverse_line(L40_1736_9)))
% 293.42/42.86
% 293.42/42.86 [22400] ALPHA_NOT_OR : ~(left_apart_point(A39_1736_9, L40_1736_9) | left_apart_point(A39_1736_9, reverse_line(L40_1736_9)))
% 293.42/42.86 -> [22401] ~left_apart_point(A39_1736_9, L40_1736_9), ~left_apart_point(A39_1736_9, reverse_line(L40_1736_9))
% 293.42/42.86
% 293.42/42.86 [22401] CLOSURE : ~left_apart_point(A39_1736_9, L40_1736_9)
% 293.42/42.86
% 293.42/42.86 [22205] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [22428] ~(left_apart_point(A39_1742_9, L40_1742_9) | left_apart_point(A39_1742_9, reverse_line(L40_1742_9)))
% 293.42/42.86
% 293.42/42.86 [22428] ALPHA_NOT_OR : ~(left_apart_point(A39_1742_9, L40_1742_9) | left_apart_point(A39_1742_9, reverse_line(L40_1742_9)))
% 293.42/42.86 -> [22429] ~left_apart_point(A39_1742_9, L40_1742_9), ~left_apart_point(A39_1742_9, reverse_line(L40_1742_9))
% 293.42/42.86
% 293.42/42.86 [22429] CLOSURE : ~left_apart_point(A39_1742_9, L40_1742_9)
% 293.42/42.86
% 293.42/42.86 [321] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.86 -> [329] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.86
% 293.42/42.86 [329] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.86 -> [333] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))
% 293.42/42.86 -> [334] ~~(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)))
% 293.42/42.86
% 293.42/42.86 [334] 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)))
% 293.42/42.86 -> [341] (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)))
% 293.42/42.86
% 293.42/42.86 [341] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.86 -> [345] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.42/42.86 -> [346] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [346] 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)))
% 293.42/42.86 -> [518] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 293.42/42.86 -> [519] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [519] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.86 -> [2282] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.86
% 293.42/42.86 [2282] 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))))
% 293.42/42.86 -> [3910] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.86
% 293.42/42.86 [3910] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.86 -> [3911] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.86 -> [3912] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.86
% 293.42/42.86 [3911] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.86
% 293.42/42.86 [3912] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.86 -> [4259] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.86 -> [4260] distinct_points(skolem_C8282, skolem_B8181)
% 293.42/42.86
% 293.42/42.86 [4259] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.86
% 293.42/42.86 [4260] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.86 -> [4288] ~distinct_lines(N27_100_3, N27_100_3)
% 293.42/42.86
% 293.42/42.86 [4288] 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))))
% 293.42/42.86 -> [4293] (distinct_lines(N27_100_3, N27_100_3) => (distinct_lines(N27_100_3, N27_100_3) | distinct_lines(N27_100_3, N27_100_3)))
% 293.42/42.86
% 293.42/42.86 [4293] 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)))
% 293.42/42.86 -> [4295] ~distinct_lines(N27_100_3, N27_100_3)
% 293.42/42.86 -> [4296] (distinct_lines(N27_100_3, N27_100_3) | distinct_lines(N27_100_3, N27_100_3))
% 293.42/42.86
% 293.42/42.86 [4296] BETA_OR : (distinct_lines(N27_100_3, N27_100_3) | distinct_lines(N27_100_3, N27_100_3))
% 293.42/42.86 -> [4299] distinct_lines(N27_100_3, N27_100_3)
% 293.42/42.86 -> [4300] distinct_lines(N27_100_3, N27_100_3)
% 293.42/42.86
% 293.42/42.86 [4299] CLOSURE : distinct_lines(N27_100_3, N27_100_3)
% 293.42/42.86
% 293.42/42.86 [4300] CLOSURE : distinct_lines(N27_100_3, N27_100_3)
% 293.42/42.86
% 293.42/42.86 [4295] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.86 -> [4311] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [4311] 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))))
% 293.42/42.86 -> [4332] (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)))
% 293.42/42.86
% 293.42/42.86 [4332] 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)))
% 293.42/42.86 -> [4333] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86 -> [4334] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [4333] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [4334] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.86 -> [5002] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86 -> [5003] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [5002] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [5003] 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))))))
% 293.42/42.86 -> [5968] ((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)))))
% 293.42/42.86
% 293.42/42.86 [5968] 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)))))
% 293.42/42.86 -> [5969] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [5970] ((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))))
% 293.42/42.86
% 293.42/42.86 [5969] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [6090] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86 -> [6091] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [6091] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [6090] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86
% 293.42/42.86 [5970] 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))))
% 293.42/42.86 -> [9892] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [9893] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.86
% 293.42/42.86 [9892] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [9901] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [9901] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [9893] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [9894] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [9894] 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)))))
% 293.42/42.86 -> [9945] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.86
% 293.42/42.86 [9945] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.86 -> [9947] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.86 -> [9948] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.86
% 293.42/42.86 [9948] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [9951] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86 -> [9952] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [9951] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [9952] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [10025] ((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))))
% 293.42/42.86
% 293.42/42.86 [10025] 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))))
% 293.42/42.86 -> [10030] ~(unequally_directed_lines(skolem_N7979, M38_161_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_161_8)))
% 293.42/42.86 -> [10031] (left_convergent_lines(skolem_N7979, M38_161_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_161_8)))
% 293.42/42.86
% 293.42/42.86 [10031] BETA_OR : (left_convergent_lines(skolem_N7979, M38_161_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_161_8)))
% 293.42/42.86 -> [10035] left_convergent_lines(skolem_N7979, M38_161_8)
% 293.42/42.86 -> [10036] left_convergent_lines(skolem_N7979, reverse_line(M38_161_8))
% 293.42/42.86
% 293.42/42.86 [10036] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [10162] ~(left_apart_point(A39_300_9, L40_300_9) | left_apart_point(A39_300_9, reverse_line(L40_300_9)))
% 293.42/42.86
% 293.42/42.86 [10162] ALPHA_NOT_OR : ~(left_apart_point(A39_300_9, L40_300_9) | left_apart_point(A39_300_9, reverse_line(L40_300_9)))
% 293.42/42.86 -> [10164] ~left_apart_point(A39_300_9, L40_300_9), ~left_apart_point(A39_300_9, reverse_line(L40_300_9))
% 293.42/42.86
% 293.42/42.86 [10164] CLOSURE : ~left_apart_point(A39_300_9, L40_300_9)
% 293.42/42.86
% 293.42/42.86 [10035] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [10186] ~(left_apart_point(A39_308_9, L40_308_9) | left_apart_point(A39_308_9, reverse_line(L40_308_9)))
% 293.42/42.86
% 293.42/42.86 [10186] ALPHA_NOT_OR : ~(left_apart_point(A39_308_9, L40_308_9) | left_apart_point(A39_308_9, reverse_line(L40_308_9)))
% 293.42/42.86 -> [10187] ~left_apart_point(A39_308_9, L40_308_9), ~left_apart_point(A39_308_9, reverse_line(L40_308_9))
% 293.42/42.86
% 293.42/42.86 [10187] CLOSURE : ~left_apart_point(A39_308_9, L40_308_9)
% 293.42/42.86
% 293.42/42.86 [10030] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_161_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_161_8)))
% 293.42/42.86 -> [10072] ~unequally_directed_lines(skolem_N7979, M38_161_8)
% 293.42/42.86 -> [10073] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_161_8))
% 293.42/42.86
% 293.42/42.86 [10073] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_161_8))
% 293.42/42.86
% 293.42/42.86 [10072] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_161_8)
% 293.42/42.86
% 293.42/42.86 [9947] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.86 -> [9955] ~line(skolem_M7878)
% 293.42/42.86 -> [9956] ~line(skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [9956] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [10013] ((unequally_directed_lines(skolem_N7979, M38_159_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_159_8))) => (left_convergent_lines(skolem_N7979, M38_159_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_159_8))))
% 293.42/42.86
% 293.42/42.86 [10013] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_159_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_159_8))) => (left_convergent_lines(skolem_N7979, M38_159_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_159_8))))
% 293.42/42.86 -> [10014] ~(unequally_directed_lines(skolem_N7979, M38_159_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_159_8)))
% 293.42/42.86 -> [10015] (left_convergent_lines(skolem_N7979, M38_159_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_159_8)))
% 293.42/42.86
% 293.42/42.86 [10014] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_159_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_159_8)))
% 293.42/42.86 -> [10063] ~unequally_directed_lines(skolem_N7979, M38_159_8)
% 293.42/42.86 -> [10064] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_159_8))
% 293.42/42.86
% 293.42/42.86 [10063] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_159_8)
% 293.42/42.86
% 293.42/42.86 [10064] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_159_8))
% 293.42/42.86
% 293.42/42.86 [10015] BETA_OR : (left_convergent_lines(skolem_N7979, M38_159_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_159_8)))
% 293.42/42.86 -> [10017] left_convergent_lines(skolem_N7979, M38_159_8)
% 293.42/42.86 -> [10018] left_convergent_lines(skolem_N7979, reverse_line(M38_159_8))
% 293.42/42.86
% 293.42/42.86 [10018] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [10156] ~(left_apart_point(A39_298_9, L40_298_9) | left_apart_point(A39_298_9, reverse_line(L40_298_9)))
% 293.42/42.86
% 293.42/42.86 [10156] ALPHA_NOT_OR : ~(left_apart_point(A39_298_9, L40_298_9) | left_apart_point(A39_298_9, reverse_line(L40_298_9)))
% 293.42/42.86 -> [10159] ~left_apart_point(A39_298_9, L40_298_9), ~left_apart_point(A39_298_9, reverse_line(L40_298_9))
% 293.42/42.86
% 293.42/42.86 [10159] CLOSURE : ~left_apart_point(A39_298_9, L40_298_9)
% 293.42/42.86
% 293.42/42.86 [10017] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [10202] ~(left_apart_point(A39_310_9, L40_310_9) | left_apart_point(A39_310_9, reverse_line(L40_310_9)))
% 293.42/42.86
% 293.42/42.86 [10202] ALPHA_NOT_OR : ~(left_apart_point(A39_310_9, L40_310_9) | left_apart_point(A39_310_9, reverse_line(L40_310_9)))
% 293.42/42.86 -> [10204] ~left_apart_point(A39_310_9, L40_310_9), ~left_apart_point(A39_310_9, reverse_line(L40_310_9))
% 293.42/42.86
% 293.42/42.86 [10204] CLOSURE : ~left_apart_point(A39_310_9, L40_310_9)
% 293.42/42.86
% 293.42/42.86 [9955] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [10048] ((unequally_directed_lines(skolem_N7979, M38_163_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_163_8))) => (left_convergent_lines(skolem_N7979, M38_163_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_163_8))))
% 293.42/42.86
% 293.42/42.86 [10048] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_163_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_163_8))) => (left_convergent_lines(skolem_N7979, M38_163_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_163_8))))
% 293.42/42.86 -> [10049] ~(unequally_directed_lines(skolem_N7979, M38_163_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_163_8)))
% 293.42/42.86 -> [10050] (left_convergent_lines(skolem_N7979, M38_163_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_163_8)))
% 293.42/42.86
% 293.42/42.86 [10050] BETA_OR : (left_convergent_lines(skolem_N7979, M38_163_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_163_8)))
% 293.42/42.86 -> [10054] left_convergent_lines(skolem_N7979, M38_163_8)
% 293.42/42.86 -> [10055] left_convergent_lines(skolem_N7979, reverse_line(M38_163_8))
% 293.42/42.86
% 293.42/42.86 [10054] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [10124] ~(left_apart_point(A39_294_9, L40_294_9) | left_apart_point(A39_294_9, reverse_line(L40_294_9)))
% 293.42/42.86
% 293.42/42.86 [10124] ALPHA_NOT_OR : ~(left_apart_point(A39_294_9, L40_294_9) | left_apart_point(A39_294_9, reverse_line(L40_294_9)))
% 293.42/42.86 -> [10129] ~left_apart_point(A39_294_9, L40_294_9), ~left_apart_point(A39_294_9, reverse_line(L40_294_9))
% 293.42/42.86
% 293.42/42.86 [10129] CLOSURE : ~left_apart_point(A39_294_9, L40_294_9)
% 293.42/42.86
% 293.42/42.86 [10055] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [10174] ~(left_apart_point(A39_306_9, L40_306_9) | left_apart_point(A39_306_9, reverse_line(L40_306_9)))
% 293.42/42.86
% 293.42/42.86 [10174] ALPHA_NOT_OR : ~(left_apart_point(A39_306_9, L40_306_9) | left_apart_point(A39_306_9, reverse_line(L40_306_9)))
% 293.42/42.86 -> [10177] ~left_apart_point(A39_306_9, L40_306_9), ~left_apart_point(A39_306_9, reverse_line(L40_306_9))
% 293.42/42.86
% 293.42/42.86 [10177] CLOSURE : ~left_apart_point(A39_306_9, L40_306_9)
% 293.42/42.86
% 293.42/42.86 [10049] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_163_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_163_8)))
% 293.42/42.86 -> [10102] ~unequally_directed_lines(skolem_N7979, M38_163_8)
% 293.42/42.86 -> [10103] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_163_8))
% 293.42/42.86
% 293.42/42.86 [10103] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_163_8))
% 293.42/42.86
% 293.42/42.86 [10102] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_163_8)
% 293.42/42.86
% 293.42/42.86 [518] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.86 -> [1374] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.86
% 293.42/42.86 [1374] 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))))
% 293.42/42.86 -> [1520] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.86
% 293.42/42.86 [1520] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.86 -> [1521] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.86 -> [1522] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.86
% 293.42/42.86 [1521] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.86
% 293.42/42.86 [1522] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.86 -> [5435] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.86 -> [5436] distinct_points(skolem_C8282, skolem_B8181)
% 293.42/42.86
% 293.42/42.86 [5435] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.86
% 293.42/42.86 [5436] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.86 -> [6560] ~distinct_lines(N27_221_3, N27_221_3)
% 293.42/42.86
% 293.42/42.86 [6560] 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))))
% 293.42/42.86 -> [6846] (distinct_lines(N27_221_3, N27_221_3) => (distinct_lines(N27_221_3, N27_221_3) | distinct_lines(N27_221_3, N27_221_3)))
% 293.42/42.86
% 293.42/42.86 [6846] BETA_IMPLY : (distinct_lines(N27_221_3, N27_221_3) => (distinct_lines(N27_221_3, N27_221_3) | distinct_lines(N27_221_3, N27_221_3)))
% 293.42/42.86 -> [6847] ~distinct_lines(N27_221_3, N27_221_3)
% 293.42/42.86 -> [6848] (distinct_lines(N27_221_3, N27_221_3) | distinct_lines(N27_221_3, N27_221_3))
% 293.42/42.86
% 293.42/42.86 [6848] BETA_OR : (distinct_lines(N27_221_3, N27_221_3) | distinct_lines(N27_221_3, N27_221_3))
% 293.42/42.86 -> [6849] distinct_lines(N27_221_3, N27_221_3)
% 293.42/42.86 -> [6850] distinct_lines(N27_221_3, N27_221_3)
% 293.42/42.86
% 293.42/42.86 [6849] CLOSURE : distinct_lines(N27_221_3, N27_221_3)
% 293.42/42.86
% 293.42/42.86 [6850] CLOSURE : distinct_lines(N27_221_3, N27_221_3)
% 293.42/42.86
% 293.42/42.86 [6847] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.86 -> [7219] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [7219] 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))))
% 293.42/42.86 -> [7963] (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)))
% 293.42/42.86
% 293.42/42.86 [7963] 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)))
% 293.42/42.86 -> [7964] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86 -> [7965] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [7964] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [7965] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.86 -> [11492] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86 -> [11493] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [11492] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [11493] 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))))))
% 293.42/42.86 -> [12170] ((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)))))
% 293.42/42.86
% 293.42/42.86 [12170] 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)))))
% 293.42/42.86 -> [12172] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [12173] ((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))))
% 293.42/42.86
% 293.42/42.86 [12172] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [12187] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86 -> [12188] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [12188] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [12187] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86
% 293.42/42.86 [12173] 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))))
% 293.42/42.86 -> [13419] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [13420] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.86
% 293.42/42.86 [13419] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [13436] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [13436] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [13420] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [13425] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [13425] 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)))))
% 293.42/42.86 -> [13480] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.86
% 293.42/42.86 [13480] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.86 -> [13482] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.86 -> [13483] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.86
% 293.42/42.86 [13482] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.86 -> [13503] ~line(skolem_M7878)
% 293.42/42.86 -> [13504] ~line(skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [13503] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [13588] ((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))))
% 293.42/42.86
% 293.42/42.86 [13588] 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))))
% 293.42/42.86 -> [13591] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [13592] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86
% 293.42/42.86 [13591] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [13615] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86 -> [13616] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [13616] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [13615] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86
% 293.42/42.86 [13592] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [13595] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86 -> [13596] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [13595] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [13728] ~(left_apart_point(A39_650_9, L40_650_9) | left_apart_point(A39_650_9, reverse_line(L40_650_9)))
% 293.42/42.86
% 293.42/42.86 [13728] ALPHA_NOT_OR : ~(left_apart_point(A39_650_9, L40_650_9) | left_apart_point(A39_650_9, reverse_line(L40_650_9)))
% 293.42/42.86 -> [13730] ~left_apart_point(A39_650_9, L40_650_9), ~left_apart_point(A39_650_9, reverse_line(L40_650_9))
% 293.42/42.86
% 293.42/42.86 [13730] CLOSURE : ~left_apart_point(A39_650_9, L40_650_9)
% 293.42/42.86
% 293.42/42.86 [13596] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [13757] ~(left_apart_point(A39_654_9, L40_654_9) | left_apart_point(A39_654_9, reverse_line(L40_654_9)))
% 293.42/42.86
% 293.42/42.86 [13757] ALPHA_NOT_OR : ~(left_apart_point(A39_654_9, L40_654_9) | left_apart_point(A39_654_9, reverse_line(L40_654_9)))
% 293.42/42.86 -> [13759] ~left_apart_point(A39_654_9, L40_654_9), ~left_apart_point(A39_654_9, reverse_line(L40_654_9))
% 293.42/42.86
% 293.42/42.86 [13759] CLOSURE : ~left_apart_point(A39_654_9, L40_654_9)
% 293.42/42.86
% 293.42/42.86 [13504] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [13647] ((unequally_directed_lines(skolem_N7979, M38_346_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_346_8))) => (left_convergent_lines(skolem_N7979, M38_346_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_346_8))))
% 293.42/42.86
% 293.42/42.86 [13647] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_346_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_346_8))) => (left_convergent_lines(skolem_N7979, M38_346_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_346_8))))
% 293.42/42.86 -> [13649] ~(unequally_directed_lines(skolem_N7979, M38_346_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_346_8)))
% 293.42/42.86 -> [13650] (left_convergent_lines(skolem_N7979, M38_346_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_346_8)))
% 293.42/42.86
% 293.42/42.86 [13649] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_346_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_346_8)))
% 293.42/42.86 -> [13679] ~unequally_directed_lines(skolem_N7979, M38_346_8)
% 293.42/42.86 -> [13680] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_346_8))
% 293.42/42.86
% 293.42/42.86 [13680] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_346_8))
% 293.42/42.86
% 293.42/42.86 [13679] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_346_8)
% 293.42/42.86
% 293.42/42.86 [13650] BETA_OR : (left_convergent_lines(skolem_N7979, M38_346_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_346_8)))
% 293.42/42.86 -> [13656] left_convergent_lines(skolem_N7979, M38_346_8)
% 293.42/42.86 -> [13657] left_convergent_lines(skolem_N7979, reverse_line(M38_346_8))
% 293.42/42.86
% 293.42/42.86 [13657] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [13777] ~(left_apart_point(A39_656_9, L40_656_9) | left_apart_point(A39_656_9, reverse_line(L40_656_9)))
% 293.42/42.86
% 293.42/42.86 [13777] ALPHA_NOT_OR : ~(left_apart_point(A39_656_9, L40_656_9) | left_apart_point(A39_656_9, reverse_line(L40_656_9)))
% 293.42/42.86 -> [13780] ~left_apart_point(A39_656_9, L40_656_9), ~left_apart_point(A39_656_9, reverse_line(L40_656_9))
% 293.42/42.86
% 293.42/42.86 [13780] CLOSURE : ~left_apart_point(A39_656_9, L40_656_9)
% 293.42/42.86
% 293.42/42.86 [13656] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [13793] ~(left_apart_point(A39_658_9, L40_658_9) | left_apart_point(A39_658_9, reverse_line(L40_658_9)))
% 293.42/42.86
% 293.42/42.86 [13793] ALPHA_NOT_OR : ~(left_apart_point(A39_658_9, L40_658_9) | left_apart_point(A39_658_9, reverse_line(L40_658_9)))
% 293.42/42.86 -> [13796] ~left_apart_point(A39_658_9, L40_658_9), ~left_apart_point(A39_658_9, reverse_line(L40_658_9))
% 293.42/42.86
% 293.42/42.86 [13796] CLOSURE : ~left_apart_point(A39_658_9, L40_658_9)
% 293.42/42.86
% 293.42/42.86 [13483] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [13491] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86 -> [13492] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [13491] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [13492] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [13836] ((unequally_directed_lines(skolem_N7979, M38_359_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_359_8))) => (left_convergent_lines(skolem_N7979, M38_359_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_359_8))))
% 293.42/42.86
% 293.42/42.86 [13836] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_359_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_359_8))) => (left_convergent_lines(skolem_N7979, M38_359_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_359_8))))
% 293.42/42.86 -> [13894] ~(unequally_directed_lines(skolem_N7979, M38_359_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_359_8)))
% 293.42/42.86 -> [13895] (left_convergent_lines(skolem_N7979, M38_359_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_359_8)))
% 293.42/42.86
% 293.42/42.86 [13895] BETA_OR : (left_convergent_lines(skolem_N7979, M38_359_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_359_8)))
% 293.42/42.86 -> [13896] left_convergent_lines(skolem_N7979, M38_359_8)
% 293.42/42.86 -> [13897] left_convergent_lines(skolem_N7979, reverse_line(M38_359_8))
% 293.42/42.86
% 293.42/42.86 [13897] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [14209] ~(left_apart_point(A39_718_9, L40_718_9) | left_apart_point(A39_718_9, reverse_line(L40_718_9)))
% 293.42/42.86
% 293.42/42.86 [14209] ALPHA_NOT_OR : ~(left_apart_point(A39_718_9, L40_718_9) | left_apart_point(A39_718_9, reverse_line(L40_718_9)))
% 293.42/42.86 -> [14210] ~left_apart_point(A39_718_9, L40_718_9), ~left_apart_point(A39_718_9, reverse_line(L40_718_9))
% 293.42/42.86
% 293.42/42.86 [14210] CLOSURE : ~left_apart_point(A39_718_9, L40_718_9)
% 293.42/42.86
% 293.42/42.86 [13896] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [14244] ~(left_apart_point(A39_723_9, L40_723_9) | left_apart_point(A39_723_9, reverse_line(L40_723_9)))
% 293.42/42.86
% 293.42/42.86 [14244] ALPHA_NOT_OR : ~(left_apart_point(A39_723_9, L40_723_9) | left_apart_point(A39_723_9, reverse_line(L40_723_9)))
% 293.42/42.86 -> [14246] ~left_apart_point(A39_723_9, L40_723_9), ~left_apart_point(A39_723_9, reverse_line(L40_723_9))
% 293.42/42.86
% 293.42/42.86 [14246] CLOSURE : ~left_apart_point(A39_723_9, L40_723_9)
% 293.42/42.86
% 293.42/42.86 [13894] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_359_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_359_8)))
% 293.42/42.86 -> [13952] ~unequally_directed_lines(skolem_N7979, M38_359_8)
% 293.42/42.86 -> [13953] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_359_8))
% 293.42/42.86
% 293.42/42.86 [13953] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_359_8))
% 293.42/42.86
% 293.42/42.86 [13952] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_359_8)
% 293.42/42.86
% 293.42/42.86 [345] 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)))
% 293.42/42.86 -> [654] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 293.42/42.86 -> [655] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [655] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.86 -> [1545] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.86
% 293.42/42.86 [1545] 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))))
% 293.42/42.86 -> [1907] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.86
% 293.42/42.86 [1907] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.86 -> [1908] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.86 -> [1909] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.86
% 293.42/42.86 [1908] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.86
% 293.42/42.86 [1909] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.86 -> [3734] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.86 -> [3735] distinct_points(skolem_C8282, skolem_B8181)
% 293.42/42.86
% 293.42/42.86 [3734] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.86
% 293.42/42.86 [3735] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.86 -> [3759] ~distinct_lines(N27_72_3, N27_72_3)
% 293.42/42.86
% 293.42/42.86 [3759] 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))))
% 293.42/42.86 -> [3767] (distinct_lines(N27_72_3, N27_72_3) => (distinct_lines(N27_72_3, N27_72_3) | distinct_lines(N27_72_3, N27_72_3)))
% 293.42/42.86
% 293.42/42.86 [3767] 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)))
% 293.42/42.86 -> [3769] ~distinct_lines(N27_72_3, N27_72_3)
% 293.42/42.86 -> [3770] (distinct_lines(N27_72_3, N27_72_3) | distinct_lines(N27_72_3, N27_72_3))
% 293.42/42.86
% 293.42/42.86 [3770] BETA_OR : (distinct_lines(N27_72_3, N27_72_3) | distinct_lines(N27_72_3, N27_72_3))
% 293.42/42.86 -> [3771] distinct_lines(N27_72_3, N27_72_3)
% 293.42/42.86 -> [3772] distinct_lines(N27_72_3, N27_72_3)
% 293.42/42.86
% 293.42/42.86 [3771] CLOSURE : distinct_lines(N27_72_3, N27_72_3)
% 293.42/42.86
% 293.42/42.86 [3772] CLOSURE : distinct_lines(N27_72_3, N27_72_3)
% 293.42/42.86
% 293.42/42.86 [3769] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.86 -> [3809] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [3809] 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))))
% 293.42/42.86 -> [3865] (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)))
% 293.42/42.86
% 293.42/42.86 [3865] 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)))
% 293.42/42.86 -> [3866] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86 -> [3867] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [3866] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [3867] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.86 -> [6943] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86 -> [6944] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [6943] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [6944] 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))))))
% 293.42/42.86 -> [8047] ((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)))))
% 293.42/42.86
% 293.42/42.86 [8047] 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)))))
% 293.42/42.86 -> [8049] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [8050] ((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))))
% 293.42/42.86
% 293.42/42.86 [8049] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [8068] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86 -> [8069] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [8068] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86
% 293.42/42.86 [8069] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [8050] 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))))
% 293.42/42.86 -> [15860] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [15861] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.86
% 293.42/42.86 [15860] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [16007] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [16007] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [15861] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [15865] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [15865] 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)))))
% 293.42/42.86 -> [16970] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.86
% 293.42/42.86 [16970] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.86 -> [16972] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.86 -> [16973] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.86
% 293.42/42.86 [16972] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.86 -> [17054] ~line(skolem_M7878)
% 293.42/42.86 -> [17055] ~line(skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [17054] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [17691] ((unequally_directed_lines(skolem_N7979, M38_598_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_598_8))) => (left_convergent_lines(skolem_N7979, M38_598_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_598_8))))
% 293.42/42.86
% 293.42/42.86 [17691] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_598_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_598_8))) => (left_convergent_lines(skolem_N7979, M38_598_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_598_8))))
% 293.42/42.86 -> [17694] ~(unequally_directed_lines(skolem_N7979, M38_598_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_598_8)))
% 293.42/42.86 -> [17695] (left_convergent_lines(skolem_N7979, M38_598_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_598_8)))
% 293.42/42.86
% 293.42/42.86 [17695] BETA_OR : (left_convergent_lines(skolem_N7979, M38_598_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_598_8)))
% 293.42/42.86 -> [17699] left_convergent_lines(skolem_N7979, M38_598_8)
% 293.42/42.86 -> [17700] left_convergent_lines(skolem_N7979, reverse_line(M38_598_8))
% 293.42/42.86
% 293.42/42.86 [17700] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [18194] ~(left_apart_point(A39_1184_9, L40_1184_9) | left_apart_point(A39_1184_9, reverse_line(L40_1184_9)))
% 293.42/42.86
% 293.42/42.86 [18194] ALPHA_NOT_OR : ~(left_apart_point(A39_1184_9, L40_1184_9) | left_apart_point(A39_1184_9, reverse_line(L40_1184_9)))
% 293.42/42.86 -> [18199] ~left_apart_point(A39_1184_9, L40_1184_9), ~left_apart_point(A39_1184_9, reverse_line(L40_1184_9))
% 293.42/42.86
% 293.42/42.86 [18199] CLOSURE : ~left_apart_point(A39_1184_9, L40_1184_9)
% 293.42/42.86
% 293.42/42.86 [17699] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [18624] ~(left_apart_point(A39_1241_9, L40_1241_9) | left_apart_point(A39_1241_9, reverse_line(L40_1241_9)))
% 293.42/42.86
% 293.42/42.86 [18624] ALPHA_NOT_OR : ~(left_apart_point(A39_1241_9, L40_1241_9) | left_apart_point(A39_1241_9, reverse_line(L40_1241_9)))
% 293.42/42.86 -> [18625] ~left_apart_point(A39_1241_9, L40_1241_9), ~left_apart_point(A39_1241_9, reverse_line(L40_1241_9))
% 293.42/42.86
% 293.42/42.86 [18625] CLOSURE : ~left_apart_point(A39_1241_9, L40_1241_9)
% 293.42/42.86
% 293.42/42.86 [17694] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_598_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_598_8)))
% 293.42/42.86 -> [19400] ~unequally_directed_lines(skolem_N7979, M38_598_8)
% 293.42/42.86 -> [19401] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_598_8))
% 293.42/42.86
% 293.42/42.86 [19401] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_598_8))
% 293.42/42.86
% 293.42/42.86 [19400] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_598_8)
% 293.42/42.86
% 293.42/42.86 [17055] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [17591] ((unequally_directed_lines(skolem_N7979, M38_592_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_592_8))) => (left_convergent_lines(skolem_N7979, M38_592_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_592_8))))
% 293.42/42.86
% 293.42/42.86 [17591] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_592_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_592_8))) => (left_convergent_lines(skolem_N7979, M38_592_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_592_8))))
% 293.42/42.86 -> [17593] ~(unequally_directed_lines(skolem_N7979, M38_592_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_592_8)))
% 293.42/42.86 -> [17594] (left_convergent_lines(skolem_N7979, M38_592_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_592_8)))
% 293.42/42.86
% 293.42/42.86 [17593] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_592_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_592_8)))
% 293.42/42.86 -> [17701] ~unequally_directed_lines(skolem_N7979, M38_592_8)
% 293.42/42.86 -> [17702] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_592_8))
% 293.42/42.86
% 293.42/42.86 [17701] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_592_8)
% 293.42/42.86
% 293.42/42.86 [17702] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_592_8))
% 293.42/42.86
% 293.42/42.86 [17594] BETA_OR : (left_convergent_lines(skolem_N7979, M38_592_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_592_8)))
% 293.42/42.86 -> [17597] left_convergent_lines(skolem_N7979, M38_592_8)
% 293.42/42.86 -> [17598] left_convergent_lines(skolem_N7979, reverse_line(M38_592_8))
% 293.42/42.86
% 293.42/42.86 [17597] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [20500] ~(left_apart_point(A39_1494_9, L40_1494_9) | left_apart_point(A39_1494_9, reverse_line(L40_1494_9)))
% 293.42/42.86
% 293.42/42.86 [20500] ALPHA_NOT_OR : ~(left_apart_point(A39_1494_9, L40_1494_9) | left_apart_point(A39_1494_9, reverse_line(L40_1494_9)))
% 293.42/42.86 -> [20502] ~left_apart_point(A39_1494_9, L40_1494_9), ~left_apart_point(A39_1494_9, reverse_line(L40_1494_9))
% 293.42/42.86
% 293.42/42.86 [20502] CLOSURE : ~left_apart_point(A39_1494_9, L40_1494_9)
% 293.42/42.86
% 293.42/42.86 [17598] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [21853] ~(left_apart_point(A39_1655_9, L40_1655_9) | left_apart_point(A39_1655_9, reverse_line(L40_1655_9)))
% 293.42/42.86
% 293.42/42.86 [21853] ALPHA_NOT_OR : ~(left_apart_point(A39_1655_9, L40_1655_9) | left_apart_point(A39_1655_9, reverse_line(L40_1655_9)))
% 293.42/42.86 -> [21854] ~left_apart_point(A39_1655_9, L40_1655_9), ~left_apart_point(A39_1655_9, reverse_line(L40_1655_9))
% 293.42/42.86
% 293.42/42.86 [21854] CLOSURE : ~left_apart_point(A39_1655_9, L40_1655_9)
% 293.42/42.86
% 293.42/42.86 [16973] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [16977] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86 -> [16978] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [16977] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [16978] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [17703] ((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))))
% 293.42/42.86
% 293.42/42.86 [17703] 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))))
% 293.42/42.86 -> [17706] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [17707] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86
% 293.42/42.86 [17706] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [18017] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86 -> [18018] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [18018] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [18017] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86
% 293.42/42.86 [17707] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [17710] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86 -> [17711] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [17710] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [18507] ~(left_apart_point(A39_1230_9, L40_1230_9) | left_apart_point(A39_1230_9, reverse_line(L40_1230_9)))
% 293.42/42.86
% 293.42/42.86 [18507] ALPHA_NOT_OR : ~(left_apart_point(A39_1230_9, L40_1230_9) | left_apart_point(A39_1230_9, reverse_line(L40_1230_9)))
% 293.42/42.86 -> [18511] ~left_apart_point(A39_1230_9, L40_1230_9), ~left_apart_point(A39_1230_9, reverse_line(L40_1230_9))
% 293.42/42.86
% 293.42/42.86 [18511] CLOSURE : ~left_apart_point(A39_1230_9, L40_1230_9)
% 293.42/42.86
% 293.42/42.86 [17711] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [22121] ~(left_apart_point(A39_1689_9, L40_1689_9) | left_apart_point(A39_1689_9, reverse_line(L40_1689_9)))
% 293.42/42.86
% 293.42/42.86 [22121] ALPHA_NOT_OR : ~(left_apart_point(A39_1689_9, L40_1689_9) | left_apart_point(A39_1689_9, reverse_line(L40_1689_9)))
% 293.42/42.86 -> [22123] ~left_apart_point(A39_1689_9, L40_1689_9), ~left_apart_point(A39_1689_9, reverse_line(L40_1689_9))
% 293.42/42.86
% 293.42/42.86 [22123] CLOSURE : ~left_apart_point(A39_1689_9, L40_1689_9)
% 293.42/42.86
% 293.42/42.86 [654] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.86 -> [2778] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.86
% 293.42/42.86 [2778] 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))))
% 293.42/42.86 -> [2837] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.86
% 293.42/42.86 [2837] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.86 -> [2838] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.86 -> [2839] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.86
% 293.42/42.86 [2838] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.86
% 293.42/42.86 [2839] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.86 -> [3300] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.86 -> [3301] distinct_points(skolem_C8282, skolem_B8181)
% 293.42/42.86
% 293.42/42.86 [3300] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.86
% 293.42/42.86 [3301] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.86 -> [4422] ~distinct_lines(L25_114_3, L25_114_3)
% 293.42/42.86
% 293.42/42.86 [4422] 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))))
% 293.42/42.86 -> [4571] (distinct_lines(L25_114_3, L25_114_3) => (distinct_lines(L25_114_3, L25_114_3) | distinct_lines(L25_114_3, L25_114_3)))
% 293.42/42.86
% 293.42/42.86 [4571] BETA_IMPLY : (distinct_lines(L25_114_3, L25_114_3) => (distinct_lines(L25_114_3, L25_114_3) | distinct_lines(L25_114_3, L25_114_3)))
% 293.42/42.86 -> [4572] ~distinct_lines(L25_114_3, L25_114_3)
% 293.42/42.86 -> [4573] (distinct_lines(L25_114_3, L25_114_3) | distinct_lines(L25_114_3, L25_114_3))
% 293.42/42.86
% 293.42/42.86 [4573] BETA_OR : (distinct_lines(L25_114_3, L25_114_3) | distinct_lines(L25_114_3, L25_114_3))
% 293.42/42.86 -> [4574] distinct_lines(L25_114_3, L25_114_3)
% 293.42/42.86 -> [4575] distinct_lines(L25_114_3, L25_114_3)
% 293.42/42.86
% 293.42/42.86 [4575] CLOSURE : distinct_lines(L25_114_3, L25_114_3)
% 293.42/42.86
% 293.42/42.86 [4574] CLOSURE : distinct_lines(L25_114_3, L25_114_3)
% 293.42/42.86
% 293.42/42.86 [4572] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.86 -> [4595] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [4595] 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))))
% 293.42/42.86 -> [4656] (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))))
% 293.42/42.86
% 293.42/42.86 [4656] 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))))
% 293.42/42.86 -> [4657] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86 -> [4658] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.86
% 293.42/42.86 [4657] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [4658] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.86 -> [8204] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86 -> [8205] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [8205] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [8204] 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))))))
% 293.42/42.86 -> [11106] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_144_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_144_6))) | (unequally_directed_lines(skolem_N7979, N34_144_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_144_6)))))
% 293.42/42.86
% 293.42/42.86 [11106] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_144_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_144_6))) | (unequally_directed_lines(skolem_N7979, N34_144_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_144_6)))))
% 293.42/42.86 -> [11107] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [11108] ((unequally_directed_lines(skolem_M7878, N34_144_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_144_6))) | (unequally_directed_lines(skolem_N7979, N34_144_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_144_6))))
% 293.42/42.86
% 293.42/42.86 [11107] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [11138] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86 -> [11139] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [11139] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [11138] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86
% 293.42/42.86 [11108] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_144_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_144_6))) | (unequally_directed_lines(skolem_N7979, N34_144_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_144_6))))
% 293.42/42.86 -> [14968] (unequally_directed_lines(skolem_M7878, N34_144_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_144_6)))
% 293.42/42.86 -> [14969] (unequally_directed_lines(skolem_N7979, N34_144_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_144_6)))
% 293.42/42.86
% 293.42/42.86 [14969] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_144_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_144_6)))
% 293.42/42.86 -> [14971] unequally_directed_lines(skolem_N7979, N34_144_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_144_6))
% 293.42/42.86
% 293.42/42.86 [14971] 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)))))
% 293.42/42.86 -> [16112] ((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)))))
% 293.42/42.86
% 293.42/42.86 [16112] 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)))))
% 293.42/42.86 -> [16116] ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.42/42.86 -> [16117] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 293.42/42.86
% 293.42/42.86 [16116] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.42/42.86 -> [16236] ~line(skolem_L7777)
% 293.42/42.86 -> [16237] ~line(line_connecting(skolem_B8181, skolem_C8282))
% 293.42/42.86
% 293.42/42.86 [16237] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [16785] ((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))))
% 293.42/42.86
% 293.42/42.86 [16785] 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))))
% 293.42/42.86 -> [16786] ~(unequally_directed_lines(skolem_N7979, M38_540_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_540_8)))
% 293.42/42.86 -> [16787] (left_convergent_lines(skolem_N7979, M38_540_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_540_8)))
% 293.42/42.86
% 293.42/42.86 [16786] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_540_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_540_8)))
% 293.42/42.86 -> [16987] ~unequally_directed_lines(skolem_N7979, M38_540_8)
% 293.42/42.86 -> [16988] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_540_8))
% 293.42/42.86
% 293.42/42.86 [16988] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_540_8))
% 293.42/42.86
% 293.42/42.86 [16987] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_540_8)
% 293.42/42.86
% 293.42/42.86 [16787] BETA_OR : (left_convergent_lines(skolem_N7979, M38_540_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_540_8)))
% 293.42/42.86 -> [16794] left_convergent_lines(skolem_N7979, M38_540_8)
% 293.42/42.86 -> [16795] left_convergent_lines(skolem_N7979, reverse_line(M38_540_8))
% 293.42/42.86
% 293.42/42.86 [16795] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [17391] ~(left_apart_point(A39_1085_9, L40_1085_9) | left_apart_point(A39_1085_9, reverse_line(L40_1085_9)))
% 293.42/42.86
% 293.42/42.86 [17391] ALPHA_NOT_OR : ~(left_apart_point(A39_1085_9, L40_1085_9) | left_apart_point(A39_1085_9, reverse_line(L40_1085_9)))
% 293.42/42.86 -> [17392] ~left_apart_point(A39_1085_9, L40_1085_9), ~left_apart_point(A39_1085_9, reverse_line(L40_1085_9))
% 293.42/42.86
% 293.42/42.86 [17392] CLOSURE : ~left_apart_point(A39_1085_9, L40_1085_9)
% 293.42/42.86
% 293.42/42.86 [16794] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [17520] ~(left_apart_point(A39_1108_9, L40_1108_9) | left_apart_point(A39_1108_9, reverse_line(L40_1108_9)))
% 293.42/42.86
% 293.42/42.86 [17520] ALPHA_NOT_OR : ~(left_apart_point(A39_1108_9, L40_1108_9) | left_apart_point(A39_1108_9, reverse_line(L40_1108_9)))
% 293.42/42.86 -> [17521] ~left_apart_point(A39_1108_9, L40_1108_9), ~left_apart_point(A39_1108_9, reverse_line(L40_1108_9))
% 293.42/42.86
% 293.42/42.86 [17521] CLOSURE : ~left_apart_point(A39_1108_9, L40_1108_9)
% 293.42/42.86
% 293.42/42.86 [16236] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [16974] ((unequally_directed_lines(skolem_N7979, M38_555_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_555_8))) => (left_convergent_lines(skolem_N7979, M38_555_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_555_8))))
% 293.42/42.86
% 293.42/42.86 [16974] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_555_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_555_8))) => (left_convergent_lines(skolem_N7979, M38_555_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_555_8))))
% 293.42/42.86 -> [16975] ~(unequally_directed_lines(skolem_N7979, M38_555_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_555_8)))
% 293.42/42.86 -> [16976] (left_convergent_lines(skolem_N7979, M38_555_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_555_8)))
% 293.42/42.86
% 293.42/42.86 [16975] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_555_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_555_8)))
% 293.42/42.86 -> [17210] ~unequally_directed_lines(skolem_N7979, M38_555_8)
% 293.42/42.86 -> [17211] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_555_8))
% 293.42/42.86
% 293.42/42.86 [17211] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_555_8))
% 293.42/42.86
% 293.42/42.86 [17210] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_555_8)
% 293.42/42.86
% 293.42/42.86 [16976] BETA_OR : (left_convergent_lines(skolem_N7979, M38_555_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_555_8)))
% 293.42/42.86 -> [16979] left_convergent_lines(skolem_N7979, M38_555_8)
% 293.42/42.86 -> [16980] left_convergent_lines(skolem_N7979, reverse_line(M38_555_8))
% 293.42/42.86
% 293.42/42.86 [16980] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [17512] ~(left_apart_point(A39_1106_9, L40_1106_9) | left_apart_point(A39_1106_9, reverse_line(L40_1106_9)))
% 293.42/42.86
% 293.42/42.86 [17512] ALPHA_NOT_OR : ~(left_apart_point(A39_1106_9, L40_1106_9) | left_apart_point(A39_1106_9, reverse_line(L40_1106_9)))
% 293.42/42.86 -> [17514] ~left_apart_point(A39_1106_9, L40_1106_9), ~left_apart_point(A39_1106_9, reverse_line(L40_1106_9))
% 293.42/42.86
% 293.42/42.86 [17514] CLOSURE : ~left_apart_point(A39_1106_9, L40_1106_9)
% 293.42/42.86
% 293.42/42.86 [16979] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [17587] ~(left_apart_point(A39_1120_9, L40_1120_9) | left_apart_point(A39_1120_9, reverse_line(L40_1120_9)))
% 293.42/42.86
% 293.42/42.86 [17587] ALPHA_NOT_OR : ~(left_apart_point(A39_1120_9, L40_1120_9) | left_apart_point(A39_1120_9, reverse_line(L40_1120_9)))
% 293.42/42.86 -> [17588] ~left_apart_point(A39_1120_9, L40_1120_9), ~left_apart_point(A39_1120_9, reverse_line(L40_1120_9))
% 293.42/42.86
% 293.42/42.86 [17588] CLOSURE : ~left_apart_point(A39_1120_9, L40_1120_9)
% 293.42/42.86
% 293.42/42.86 [16117] 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))))
% 293.42/42.86 -> [16118] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.42/42.86 -> [16119] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.42/42.86
% 293.42/42.86 [16118] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.42/42.86
% 293.42/42.86 [16119] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [19667] ((unequally_directed_lines(skolem_N7979, M38_720_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_720_8))) => (left_convergent_lines(skolem_N7979, M38_720_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_720_8))))
% 293.42/42.86
% 293.42/42.86 [19667] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_720_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_720_8))) => (left_convergent_lines(skolem_N7979, M38_720_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_720_8))))
% 293.42/42.86 -> [19669] ~(unequally_directed_lines(skolem_N7979, M38_720_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_720_8)))
% 293.42/42.86 -> [19670] (left_convergent_lines(skolem_N7979, M38_720_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_720_8)))
% 293.42/42.86
% 293.42/42.86 [19669] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_720_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_720_8)))
% 293.42/42.86 -> [19702] ~unequally_directed_lines(skolem_N7979, M38_720_8)
% 293.42/42.86 -> [19703] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_720_8))
% 293.42/42.86
% 293.42/42.86 [19703] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_720_8))
% 293.42/42.86
% 293.42/42.86 [19702] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_720_8)
% 293.42/42.86
% 293.42/42.86 [19670] BETA_OR : (left_convergent_lines(skolem_N7979, M38_720_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_720_8)))
% 293.42/42.86 -> [19672] left_convergent_lines(skolem_N7979, M38_720_8)
% 293.42/42.86 -> [19673] left_convergent_lines(skolem_N7979, reverse_line(M38_720_8))
% 293.42/42.86
% 293.42/42.86 [19673] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [19744] ~(left_apart_point(A39_1374_9, L40_1374_9) | left_apart_point(A39_1374_9, reverse_line(L40_1374_9)))
% 293.42/42.86
% 293.42/42.86 [19744] ALPHA_NOT_OR : ~(left_apart_point(A39_1374_9, L40_1374_9) | left_apart_point(A39_1374_9, reverse_line(L40_1374_9)))
% 293.42/42.86 -> [19747] ~left_apart_point(A39_1374_9, L40_1374_9), ~left_apart_point(A39_1374_9, reverse_line(L40_1374_9))
% 293.42/42.86
% 293.42/42.86 [19747] CLOSURE : ~left_apart_point(A39_1374_9, L40_1374_9)
% 293.42/42.86
% 293.42/42.86 [19672] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [19757] ~(left_apart_point(A39_1377_9, L40_1377_9) | left_apart_point(A39_1377_9, reverse_line(L40_1377_9)))
% 293.42/42.86
% 293.42/42.86 [19757] ALPHA_NOT_OR : ~(left_apart_point(A39_1377_9, L40_1377_9) | left_apart_point(A39_1377_9, reverse_line(L40_1377_9)))
% 293.42/42.86 -> [19759] ~left_apart_point(A39_1377_9, L40_1377_9), ~left_apart_point(A39_1377_9, reverse_line(L40_1377_9))
% 293.42/42.86
% 293.42/42.86 [19759] CLOSURE : ~left_apart_point(A39_1377_9, L40_1377_9)
% 293.42/42.86
% 293.42/42.86 [14968] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_144_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_144_6)))
% 293.42/42.86 -> [15029] unequally_directed_lines(skolem_M7878, N34_144_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_144_6))
% 293.42/42.86
% 293.42/42.86 [15029] 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)))))
% 293.42/42.86 -> [16089] ((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)))))
% 293.42/42.86
% 293.42/42.86 [16089] 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)))))
% 293.42/42.86 -> [16095] ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.42/42.86 -> [16096] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 293.42/42.86
% 293.42/42.86 [16095] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.42/42.86 -> [16226] ~line(skolem_L7777)
% 293.42/42.86 -> [16227] ~line(line_connecting(skolem_B8181, skolem_C8282))
% 293.42/42.86
% 293.42/42.86 [16227] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [16756] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.86
% 293.42/42.86 [16756] 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))))
% 293.42/42.86 -> [16762] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [16763] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86
% 293.42/42.86 [16763] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [16772] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.86 -> [16773] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [16772] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [17489] ~(left_apart_point(A39_1100_9, L40_1100_9) | left_apart_point(A39_1100_9, reverse_line(L40_1100_9)))
% 293.42/42.86
% 293.42/42.86 [17489] ALPHA_NOT_OR : ~(left_apart_point(A39_1100_9, L40_1100_9) | left_apart_point(A39_1100_9, reverse_line(L40_1100_9)))
% 293.42/42.86 -> [17490] ~left_apart_point(A39_1100_9, L40_1100_9), ~left_apart_point(A39_1100_9, reverse_line(L40_1100_9))
% 293.42/42.86
% 293.42/42.86 [17490] CLOSURE : ~left_apart_point(A39_1100_9, L40_1100_9)
% 293.42/42.86
% 293.42/42.86 [16773] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [17498] ~(left_apart_point(A39_1103_9, L40_1103_9) | left_apart_point(A39_1103_9, reverse_line(L40_1103_9)))
% 293.42/42.86
% 293.42/42.86 [17498] ALPHA_NOT_OR : ~(left_apart_point(A39_1103_9, L40_1103_9) | left_apart_point(A39_1103_9, reverse_line(L40_1103_9)))
% 293.42/42.86 -> [17500] ~left_apart_point(A39_1103_9, L40_1103_9), ~left_apart_point(A39_1103_9, reverse_line(L40_1103_9))
% 293.42/42.86
% 293.42/42.86 [17500] CLOSURE : ~left_apart_point(A39_1103_9, L40_1103_9)
% 293.42/42.86
% 293.42/42.86 [16762] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [16967] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.86 -> [16968] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [16968] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [16967] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [16226] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [17193] ((unequally_directed_lines(skolem_M7878, M38_568_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_568_8))) => (left_convergent_lines(skolem_M7878, M38_568_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_568_8))))
% 293.42/42.86
% 293.42/42.86 [17193] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_568_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_568_8))) => (left_convergent_lines(skolem_M7878, M38_568_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_568_8))))
% 293.42/42.86 -> [17194] ~(unequally_directed_lines(skolem_M7878, M38_568_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_568_8)))
% 293.42/42.86 -> [17195] (left_convergent_lines(skolem_M7878, M38_568_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_568_8)))
% 293.42/42.86
% 293.42/42.86 [17194] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_568_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_568_8)))
% 293.42/42.86 -> [17897] ~unequally_directed_lines(skolem_M7878, M38_568_8)
% 293.42/42.86 -> [17898] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_568_8))
% 293.42/42.86
% 293.42/42.86 [17898] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_568_8))
% 293.42/42.86
% 293.42/42.86 [17897] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_568_8)
% 293.42/42.86
% 293.42/42.86 [17195] BETA_OR : (left_convergent_lines(skolem_M7878, M38_568_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_568_8)))
% 293.42/42.86 -> [17200] left_convergent_lines(skolem_M7878, M38_568_8)
% 293.42/42.86 -> [17201] left_convergent_lines(skolem_M7878, reverse_line(M38_568_8))
% 293.42/42.86
% 293.42/42.86 [17201] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [20108] ~(left_apart_point(A39_1438_9, L40_1438_9) | left_apart_point(A39_1438_9, reverse_line(L40_1438_9)))
% 293.42/42.86
% 293.42/42.86 [20108] ALPHA_NOT_OR : ~(left_apart_point(A39_1438_9, L40_1438_9) | left_apart_point(A39_1438_9, reverse_line(L40_1438_9)))
% 293.42/42.86 -> [20113] ~left_apart_point(A39_1438_9, L40_1438_9), ~left_apart_point(A39_1438_9, reverse_line(L40_1438_9))
% 293.42/42.86
% 293.42/42.86 [20113] CLOSURE : ~left_apart_point(A39_1438_9, L40_1438_9)
% 293.42/42.86
% 293.42/42.86 [17200] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [20494] ~(left_apart_point(A39_1492_9, L40_1492_9) | left_apart_point(A39_1492_9, reverse_line(L40_1492_9)))
% 293.42/42.86
% 293.42/42.86 [20494] ALPHA_NOT_OR : ~(left_apart_point(A39_1492_9, L40_1492_9) | left_apart_point(A39_1492_9, reverse_line(L40_1492_9)))
% 293.42/42.86 -> [20497] ~left_apart_point(A39_1492_9, L40_1492_9), ~left_apart_point(A39_1492_9, reverse_line(L40_1492_9))
% 293.42/42.86
% 293.42/42.86 [20497] CLOSURE : ~left_apart_point(A39_1492_9, L40_1492_9)
% 293.42/42.86
% 293.42/42.86 [16096] 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))))
% 293.42/42.86 -> [16107] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.42/42.86 -> [16108] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.42/42.86
% 293.42/42.86 [16107] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.42/42.86
% 293.42/42.86 [16108] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [20623] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.86
% 293.42/42.86 [20623] 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))))
% 293.42/42.86 -> [20629] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [20630] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86
% 293.42/42.86 [20629] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [20660] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.86 -> [20661] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [20661] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [20660] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [20630] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [20631] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.86 -> [20632] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [20631] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [22238] ~(left_apart_point(A39_1706_9, L40_1706_9) | left_apart_point(A39_1706_9, reverse_line(L40_1706_9)))
% 293.42/42.86
% 293.42/42.86 [22238] ALPHA_NOT_OR : ~(left_apart_point(A39_1706_9, L40_1706_9) | left_apart_point(A39_1706_9, reverse_line(L40_1706_9)))
% 293.42/42.86 -> [22241] ~left_apart_point(A39_1706_9, L40_1706_9), ~left_apart_point(A39_1706_9, reverse_line(L40_1706_9))
% 293.42/42.86
% 293.42/42.86 [22241] CLOSURE : ~left_apart_point(A39_1706_9, L40_1706_9)
% 293.42/42.86
% 293.42/42.86 [20632] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [23858] ~(left_apart_point(A39_1938_9, L40_1938_9) | left_apart_point(A39_1938_9, reverse_line(L40_1938_9)))
% 293.42/42.86
% 293.42/42.86 [23858] ALPHA_NOT_OR : ~(left_apart_point(A39_1938_9, L40_1938_9) | left_apart_point(A39_1938_9, reverse_line(L40_1938_9)))
% 293.42/42.86 -> [23860] ~left_apart_point(A39_1938_9, L40_1938_9), ~left_apart_point(A39_1938_9, reverse_line(L40_1938_9))
% 293.42/42.86
% 293.42/42.86 [23860] CLOSURE : ~left_apart_point(A39_1938_9, L40_1938_9)
% 293.42/42.86
% 293.42/42.86 [333] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.86 -> [789] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.42/42.86 -> [790] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [789] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.86 -> [1583] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.86
% 293.42/42.86 [1583] 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))))
% 293.42/42.86 -> [1672] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.86
% 293.42/42.86 [1672] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.86 -> [1675] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.86 -> [1676] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.86
% 293.42/42.86 [1675] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.86
% 293.42/42.86 [1676] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.86 -> [3964] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.86 -> [3965] distinct_points(skolem_C8282, skolem_B8181)
% 293.42/42.86
% 293.42/42.86 [3964] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.86
% 293.42/42.86 [3965] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.86 -> [5317] ~distinct_lines(N27_148_3, N27_148_3)
% 293.42/42.86
% 293.42/42.86 [5317] 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))))
% 293.42/42.86 -> [5375] (distinct_lines(N27_148_3, N27_148_3) => (distinct_lines(N27_148_3, N27_148_3) | distinct_lines(N27_148_3, N27_148_3)))
% 293.42/42.86
% 293.42/42.86 [5375] BETA_IMPLY : (distinct_lines(N27_148_3, N27_148_3) => (distinct_lines(N27_148_3, N27_148_3) | distinct_lines(N27_148_3, N27_148_3)))
% 293.42/42.86 -> [5376] ~distinct_lines(N27_148_3, N27_148_3)
% 293.42/42.86 -> [5377] (distinct_lines(N27_148_3, N27_148_3) | distinct_lines(N27_148_3, N27_148_3))
% 293.42/42.86
% 293.42/42.86 [5377] BETA_OR : (distinct_lines(N27_148_3, N27_148_3) | distinct_lines(N27_148_3, N27_148_3))
% 293.42/42.86 -> [5380] distinct_lines(N27_148_3, N27_148_3)
% 293.42/42.86 -> [5381] distinct_lines(N27_148_3, N27_148_3)
% 293.42/42.86
% 293.42/42.86 [5381] CLOSURE : distinct_lines(N27_148_3, N27_148_3)
% 293.42/42.86
% 293.42/42.86 [5380] CLOSURE : distinct_lines(N27_148_3, N27_148_3)
% 293.42/42.86
% 293.42/42.86 [5376] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.86 -> [5449] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [5449] 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))))
% 293.42/42.86 -> [5607] (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)))
% 293.42/42.86
% 293.42/42.86 [5607] 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)))
% 293.42/42.86 -> [5611] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86 -> [5612] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [5611] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [5612] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.86 -> [5685] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86 -> [5686] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [5685] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [5686] 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))))))
% 293.42/42.86 -> [5809] ((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)))))
% 293.42/42.86
% 293.42/42.86 [5809] 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)))))
% 293.42/42.86 -> [5812] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [5813] ((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))))
% 293.42/42.86
% 293.42/42.86 [5812] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [5830] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86 -> [5831] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [5831] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [5830] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86
% 293.42/42.86 [5813] 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))))
% 293.42/42.86 -> [11867] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [11868] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.86
% 293.42/42.86 [11867] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [11938] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [11938] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [11868] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [11873] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [11873] 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)))))
% 293.42/42.86 -> [12456] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.86
% 293.42/42.86 [12456] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.86 -> [12458] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.86 -> [12459] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.86
% 293.42/42.86 [12459] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [12465] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86 -> [12466] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [12465] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [12466] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [16212] ((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))))
% 293.42/42.86
% 293.42/42.86 [16212] 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))))
% 293.42/42.86 -> [16214] ~(unequally_directed_lines(skolem_N7979, M38_498_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_498_8)))
% 293.42/42.86 -> [16215] (left_convergent_lines(skolem_N7979, M38_498_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_498_8)))
% 293.42/42.86
% 293.42/42.86 [16214] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_498_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_498_8)))
% 293.42/42.86 -> [16323] ~unequally_directed_lines(skolem_N7979, M38_498_8)
% 293.42/42.86 -> [16324] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_498_8))
% 293.42/42.86
% 293.42/42.86 [16324] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_498_8))
% 293.42/42.86
% 293.42/42.86 [16323] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_498_8)
% 293.42/42.86
% 293.42/42.86 [16215] BETA_OR : (left_convergent_lines(skolem_N7979, M38_498_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_498_8)))
% 293.42/42.86 -> [16219] left_convergent_lines(skolem_N7979, M38_498_8)
% 293.42/42.86 -> [16220] left_convergent_lines(skolem_N7979, reverse_line(M38_498_8))
% 293.42/42.86
% 293.42/42.86 [16220] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [16780] ~(left_apart_point(A39_1009_9, L40_1009_9) | left_apart_point(A39_1009_9, reverse_line(L40_1009_9)))
% 293.42/42.86
% 293.42/42.86 [16780] ALPHA_NOT_OR : ~(left_apart_point(A39_1009_9, L40_1009_9) | left_apart_point(A39_1009_9, reverse_line(L40_1009_9)))
% 293.42/42.86 -> [16782] ~left_apart_point(A39_1009_9, L40_1009_9), ~left_apart_point(A39_1009_9, reverse_line(L40_1009_9))
% 293.42/42.86
% 293.42/42.86 [16782] CLOSURE : ~left_apart_point(A39_1009_9, L40_1009_9)
% 293.42/42.86
% 293.42/42.86 [16219] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [16998] ~(left_apart_point(A39_1026_9, L40_1026_9) | left_apart_point(A39_1026_9, reverse_line(L40_1026_9)))
% 293.42/42.86
% 293.42/42.86 [16998] ALPHA_NOT_OR : ~(left_apart_point(A39_1026_9, L40_1026_9) | left_apart_point(A39_1026_9, reverse_line(L40_1026_9)))
% 293.42/42.86 -> [17034] ~left_apart_point(A39_1026_9, L40_1026_9), ~left_apart_point(A39_1026_9, reverse_line(L40_1026_9))
% 293.42/42.86
% 293.42/42.86 [17034] CLOSURE : ~left_apart_point(A39_1026_9, L40_1026_9)
% 293.42/42.86
% 293.42/42.86 [12458] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.86 -> [12633] ~line(skolem_M7878)
% 293.42/42.86 -> [12634] ~line(skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [12634] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [16065] ((unequally_directed_lines(skolem_N7979, M38_489_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_489_8))) => (left_convergent_lines(skolem_N7979, M38_489_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_489_8))))
% 293.42/42.86
% 293.42/42.86 [16065] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_489_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_489_8))) => (left_convergent_lines(skolem_N7979, M38_489_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_489_8))))
% 293.42/42.86 -> [16070] ~(unequally_directed_lines(skolem_N7979, M38_489_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_489_8)))
% 293.42/42.86 -> [16071] (left_convergent_lines(skolem_N7979, M38_489_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_489_8)))
% 293.42/42.86
% 293.42/42.86 [16071] BETA_OR : (left_convergent_lines(skolem_N7979, M38_489_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_489_8)))
% 293.42/42.86 -> [16074] left_convergent_lines(skolem_N7979, M38_489_8)
% 293.42/42.86 -> [16075] left_convergent_lines(skolem_N7979, reverse_line(M38_489_8))
% 293.42/42.86
% 293.42/42.86 [16074] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [16228] ~(left_apart_point(A39_936_9, L40_936_9) | left_apart_point(A39_936_9, reverse_line(L40_936_9)))
% 293.42/42.86
% 293.42/42.86 [16228] ALPHA_NOT_OR : ~(left_apart_point(A39_936_9, L40_936_9) | left_apart_point(A39_936_9, reverse_line(L40_936_9)))
% 293.42/42.86 -> [16229] ~left_apart_point(A39_936_9, L40_936_9), ~left_apart_point(A39_936_9, reverse_line(L40_936_9))
% 293.42/42.86
% 293.42/42.86 [16229] CLOSURE : ~left_apart_point(A39_936_9, L40_936_9)
% 293.42/42.86
% 293.42/42.86 [16075] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [16232] ~(left_apart_point(A39_937_9, L40_937_9) | left_apart_point(A39_937_9, reverse_line(L40_937_9)))
% 293.42/42.86
% 293.42/42.86 [16232] ALPHA_NOT_OR : ~(left_apart_point(A39_937_9, L40_937_9) | left_apart_point(A39_937_9, reverse_line(L40_937_9)))
% 293.42/42.86 -> [16233] ~left_apart_point(A39_937_9, L40_937_9), ~left_apart_point(A39_937_9, reverse_line(L40_937_9))
% 293.42/42.86
% 293.42/42.86 [16233] CLOSURE : ~left_apart_point(A39_937_9, L40_937_9)
% 293.42/42.86
% 293.42/42.86 [16070] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_489_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_489_8)))
% 293.42/42.86 -> [16103] ~unequally_directed_lines(skolem_N7979, M38_489_8)
% 293.42/42.86 -> [16104] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_489_8))
% 293.42/42.86
% 293.42/42.86 [16104] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_489_8))
% 293.42/42.86
% 293.42/42.86 [16103] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_489_8)
% 293.42/42.86
% 293.42/42.86 [12633] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [16291] ((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))))
% 293.42/42.86
% 293.42/42.86 [16291] 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))))
% 293.42/42.86 -> [16293] ~(unequally_directed_lines(skolem_N7979, M38_505_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_505_8)))
% 293.42/42.86 -> [16294] (left_convergent_lines(skolem_N7979, M38_505_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_505_8)))
% 293.42/42.86
% 293.42/42.86 [16294] BETA_OR : (left_convergent_lines(skolem_N7979, M38_505_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_505_8)))
% 293.42/42.86 -> [16303] left_convergent_lines(skolem_N7979, M38_505_8)
% 293.42/42.86 -> [16304] left_convergent_lines(skolem_N7979, reverse_line(M38_505_8))
% 293.42/42.86
% 293.42/42.86 [16304] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [16923] ~(left_apart_point(A39_1020_9, L40_1020_9) | left_apart_point(A39_1020_9, reverse_line(L40_1020_9)))
% 293.42/42.86
% 293.42/42.86 [16923] ALPHA_NOT_OR : ~(left_apart_point(A39_1020_9, L40_1020_9) | left_apart_point(A39_1020_9, reverse_line(L40_1020_9)))
% 293.42/42.86 -> [16926] ~left_apart_point(A39_1020_9, L40_1020_9), ~left_apart_point(A39_1020_9, reverse_line(L40_1020_9))
% 293.42/42.86
% 293.42/42.86 [16926] CLOSURE : ~left_apart_point(A39_1020_9, L40_1020_9)
% 293.42/42.86
% 293.42/42.86 [16303] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [17715] ~(left_apart_point(A39_1140_9, L40_1140_9) | left_apart_point(A39_1140_9, reverse_line(L40_1140_9)))
% 293.42/42.86
% 293.42/42.86 [17715] ALPHA_NOT_OR : ~(left_apart_point(A39_1140_9, L40_1140_9) | left_apart_point(A39_1140_9, reverse_line(L40_1140_9)))
% 293.42/42.86 -> [17717] ~left_apart_point(A39_1140_9, L40_1140_9), ~left_apart_point(A39_1140_9, reverse_line(L40_1140_9))
% 293.42/42.86
% 293.42/42.86 [17717] CLOSURE : ~left_apart_point(A39_1140_9, L40_1140_9)
% 293.42/42.86
% 293.42/42.86 [16293] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_505_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_505_8)))
% 293.42/42.86 -> [16422] ~unequally_directed_lines(skolem_N7979, M38_505_8)
% 293.42/42.86 -> [16423] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_505_8))
% 293.42/42.86
% 293.42/42.86 [16423] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_505_8))
% 293.42/42.86
% 293.42/42.86 [16422] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_505_8)
% 293.42/42.86
% 293.42/42.86 [790] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.86 -> [1553] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.86
% 293.42/42.86 [1553] 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))))
% 293.42/42.86 -> [1627] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.86
% 293.42/42.86 [1627] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.86 -> [1629] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.86 -> [1630] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.86
% 293.42/42.86 [1629] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.86
% 293.42/42.86 [1630] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.86 -> [3951] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.86 -> [3952] distinct_points(skolem_C8282, skolem_B8181)
% 293.42/42.86
% 293.42/42.86 [3951] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.86
% 293.42/42.86 [3952] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.86 -> [4376] ~distinct_lines(L25_109_3, L25_109_3)
% 293.42/42.86
% 293.42/42.86 [4376] 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))))
% 293.42/42.86 -> [4448] (distinct_lines(L25_109_3, L25_109_3) => (distinct_lines(L25_109_3, L25_109_3) | distinct_lines(L25_109_3, L25_109_3)))
% 293.42/42.86
% 293.42/42.86 [4448] BETA_IMPLY : (distinct_lines(L25_109_3, L25_109_3) => (distinct_lines(L25_109_3, L25_109_3) | distinct_lines(L25_109_3, L25_109_3)))
% 293.42/42.86 -> [4449] ~distinct_lines(L25_109_3, L25_109_3)
% 293.42/42.86 -> [4450] (distinct_lines(L25_109_3, L25_109_3) | distinct_lines(L25_109_3, L25_109_3))
% 293.42/42.86
% 293.42/42.86 [4450] BETA_OR : (distinct_lines(L25_109_3, L25_109_3) | distinct_lines(L25_109_3, L25_109_3))
% 293.42/42.86 -> [4452] distinct_lines(L25_109_3, L25_109_3)
% 293.42/42.86 -> [4453] distinct_lines(L25_109_3, L25_109_3)
% 293.42/42.86
% 293.42/42.86 [4453] CLOSURE : distinct_lines(L25_109_3, L25_109_3)
% 293.42/42.86
% 293.42/42.86 [4452] CLOSURE : distinct_lines(L25_109_3, L25_109_3)
% 293.42/42.86
% 293.42/42.86 [4449] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.86 -> [4473] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [4473] 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))))
% 293.42/42.86 -> [4492] (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))))
% 293.42/42.86
% 293.42/42.86 [4492] 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))))
% 293.42/42.86 -> [4493] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86 -> [4494] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.86
% 293.42/42.86 [4493] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [4494] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.86 -> [7210] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86 -> [7211] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [7211] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [7210] 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))))))
% 293.42/42.86 -> [15416] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_211_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_211_6))) | (unequally_directed_lines(skolem_N7979, N34_211_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_211_6)))))
% 293.42/42.86
% 293.42/42.86 [15416] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_211_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_211_6))) | (unequally_directed_lines(skolem_N7979, N34_211_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_211_6)))))
% 293.42/42.86 -> [15419] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [15420] ((unequally_directed_lines(skolem_M7878, N34_211_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_211_6))) | (unequally_directed_lines(skolem_N7979, N34_211_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_211_6))))
% 293.42/42.86
% 293.42/42.86 [15419] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [15534] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86 -> [15535] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [15535] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [15534] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86
% 293.42/42.86 [15420] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_211_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_211_6))) | (unequally_directed_lines(skolem_N7979, N34_211_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_211_6))))
% 293.42/42.86 -> [20537] (unequally_directed_lines(skolem_M7878, N34_211_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_211_6)))
% 293.42/42.86 -> [20538] (unequally_directed_lines(skolem_N7979, N34_211_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_211_6)))
% 293.42/42.86
% 293.42/42.86 [20537] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_211_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_211_6)))
% 293.42/42.86 -> [20564] unequally_directed_lines(skolem_M7878, N34_211_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_211_6))
% 293.42/42.86
% 293.42/42.86 [20564] 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)))))
% 293.42/42.86 -> [20958] ((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))))
% 293.42/42.86
% 293.42/42.86 [20958] 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))))
% 293.42/42.86 -> [20959] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.86 -> [20960] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.86
% 293.42/42.86 [20959] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.86 -> [20998] ~line(reverse_line(skolem_N7979))
% 293.42/42.86 -> [20999] ~line(skolem_N7979)
% 293.42/42.86
% 293.42/42.86 [20999] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [21947] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.86
% 293.42/42.86 [21947] 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))))
% 293.42/42.86 -> [21950] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [21951] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86
% 293.42/42.86 [21950] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [21998] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.86 -> [21999] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [21999] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [21998] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [21951] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [21957] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.86 -> [21958] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [21958] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [22070] ~(left_apart_point(A39_1680_9, L40_1680_9) | left_apart_point(A39_1680_9, reverse_line(L40_1680_9)))
% 293.42/42.86
% 293.42/42.86 [22070] ALPHA_NOT_OR : ~(left_apart_point(A39_1680_9, L40_1680_9) | left_apart_point(A39_1680_9, reverse_line(L40_1680_9)))
% 293.42/42.86 -> [22071] ~left_apart_point(A39_1680_9, L40_1680_9), ~left_apart_point(A39_1680_9, reverse_line(L40_1680_9))
% 293.42/42.86
% 293.42/42.86 [22071] CLOSURE : ~left_apart_point(A39_1680_9, L40_1680_9)
% 293.42/42.86
% 293.42/42.86 [21957] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [22112] ~(left_apart_point(A39_1688_9, L40_1688_9) | left_apart_point(A39_1688_9, reverse_line(L40_1688_9)))
% 293.42/42.86
% 293.42/42.86 [22112] ALPHA_NOT_OR : ~(left_apart_point(A39_1688_9, L40_1688_9) | left_apart_point(A39_1688_9, reverse_line(L40_1688_9)))
% 293.42/42.86 -> [22116] ~left_apart_point(A39_1688_9, L40_1688_9), ~left_apart_point(A39_1688_9, reverse_line(L40_1688_9))
% 293.42/42.86
% 293.42/42.86 [22116] CLOSURE : ~left_apart_point(A39_1688_9, L40_1688_9)
% 293.42/42.86
% 293.42/42.86 [20998] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [22003] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.86
% 293.42/42.86 [22003] 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))))
% 293.42/42.86 -> [22006] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [22007] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86
% 293.42/42.86 [22007] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [22010] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.86 -> [22011] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [22011] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [22122] ~(left_apart_point(A39_1690_9, L40_1690_9) | left_apart_point(A39_1690_9, reverse_line(L40_1690_9)))
% 293.42/42.86
% 293.42/42.86 [22122] ALPHA_NOT_OR : ~(left_apart_point(A39_1690_9, L40_1690_9) | left_apart_point(A39_1690_9, reverse_line(L40_1690_9)))
% 293.42/42.86 -> [22124] ~left_apart_point(A39_1690_9, L40_1690_9), ~left_apart_point(A39_1690_9, reverse_line(L40_1690_9))
% 293.42/42.86
% 293.42/42.86 [22124] CLOSURE : ~left_apart_point(A39_1690_9, L40_1690_9)
% 293.42/42.86
% 293.42/42.86 [22010] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [22164] ~(left_apart_point(A39_1696_9, L40_1696_9) | left_apart_point(A39_1696_9, reverse_line(L40_1696_9)))
% 293.42/42.86
% 293.42/42.86 [22164] ALPHA_NOT_OR : ~(left_apart_point(A39_1696_9, L40_1696_9) | left_apart_point(A39_1696_9, reverse_line(L40_1696_9)))
% 293.42/42.86 -> [22165] ~left_apart_point(A39_1696_9, L40_1696_9), ~left_apart_point(A39_1696_9, reverse_line(L40_1696_9))
% 293.42/42.86
% 293.42/42.86 [22165] CLOSURE : ~left_apart_point(A39_1696_9, L40_1696_9)
% 293.42/42.86
% 293.42/42.86 [22006] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [22032] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.86 -> [22033] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [22033] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [22032] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [20960] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.86 -> [20962] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 293.42/42.86 -> [20963] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [20963] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [20962] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [23486] ((unequally_directed_lines(skolem_M7878, M38_966_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_966_8))) => (left_convergent_lines(skolem_M7878, M38_966_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_966_8))))
% 293.42/42.86
% 293.42/42.86 [23486] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_966_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_966_8))) => (left_convergent_lines(skolem_M7878, M38_966_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_966_8))))
% 293.42/42.86 -> [23489] ~(unequally_directed_lines(skolem_M7878, M38_966_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_966_8)))
% 293.42/42.86 -> [23490] (left_convergent_lines(skolem_M7878, M38_966_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_966_8)))
% 293.42/42.86
% 293.42/42.86 [23490] BETA_OR : (left_convergent_lines(skolem_M7878, M38_966_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_966_8)))
% 293.42/42.86 -> [23496] left_convergent_lines(skolem_M7878, M38_966_8)
% 293.42/42.86 -> [23497] left_convergent_lines(skolem_M7878, reverse_line(M38_966_8))
% 293.42/42.86
% 293.42/42.86 [23497] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [23537] ~(left_apart_point(A39_1896_9, L40_1896_9) | left_apart_point(A39_1896_9, reverse_line(L40_1896_9)))
% 293.42/42.86
% 293.42/42.86 [23537] ALPHA_NOT_OR : ~(left_apart_point(A39_1896_9, L40_1896_9) | left_apart_point(A39_1896_9, reverse_line(L40_1896_9)))
% 293.42/42.86 -> [23542] ~left_apart_point(A39_1896_9, L40_1896_9), ~left_apart_point(A39_1896_9, reverse_line(L40_1896_9))
% 293.42/42.86
% 293.42/42.86 [23542] CLOSURE : ~left_apart_point(A39_1896_9, L40_1896_9)
% 293.42/42.86
% 293.42/42.86 [23496] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [23663] ~(left_apart_point(A39_1908_9, L40_1908_9) | left_apart_point(A39_1908_9, reverse_line(L40_1908_9)))
% 293.42/42.86
% 293.42/42.86 [23663] ALPHA_NOT_OR : ~(left_apart_point(A39_1908_9, L40_1908_9) | left_apart_point(A39_1908_9, reverse_line(L40_1908_9)))
% 293.42/42.86 -> [23665] ~left_apart_point(A39_1908_9, L40_1908_9), ~left_apart_point(A39_1908_9, reverse_line(L40_1908_9))
% 293.42/42.86
% 293.42/42.86 [23665] CLOSURE : ~left_apart_point(A39_1908_9, L40_1908_9)
% 293.42/42.86
% 293.42/42.86 [23489] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_966_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_966_8)))
% 293.42/42.86 -> [23517] ~unequally_directed_lines(skolem_M7878, M38_966_8)
% 293.42/42.86 -> [23518] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_966_8))
% 293.42/42.86
% 293.42/42.86 [23518] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_966_8))
% 293.42/42.86
% 293.42/42.86 [23517] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_966_8)
% 293.42/42.86
% 293.42/42.86 [20538] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_211_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_211_6)))
% 293.42/42.86 -> [20539] unequally_directed_lines(skolem_N7979, N34_211_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_211_6))
% 293.42/42.86
% 293.42/42.86 [20539] 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)))))
% 293.42/42.86 -> [21360] ((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))))
% 293.42/42.86
% 293.42/42.86 [21360] 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))))
% 293.42/42.86 -> [21365] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.86 -> [21366] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.86
% 293.42/42.86 [21365] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.86 -> [21426] ~line(reverse_line(skolem_N7979))
% 293.42/42.86 -> [21427] ~line(skolem_N7979)
% 293.42/42.86
% 293.42/42.86 [21426] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [21563] ((unequally_directed_lines(skolem_N7979, M38_842_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_842_8))) => (left_convergent_lines(skolem_N7979, M38_842_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_842_8))))
% 293.42/42.86
% 293.42/42.86 [21563] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_842_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_842_8))) => (left_convergent_lines(skolem_N7979, M38_842_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_842_8))))
% 293.42/42.86 -> [21566] ~(unequally_directed_lines(skolem_N7979, M38_842_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_842_8)))
% 293.42/42.86 -> [21567] (left_convergent_lines(skolem_N7979, M38_842_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_842_8)))
% 293.42/42.86
% 293.42/42.86 [21566] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_842_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_842_8)))
% 293.42/42.86 -> [21621] ~unequally_directed_lines(skolem_N7979, M38_842_8)
% 293.42/42.86 -> [21622] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_842_8))
% 293.42/42.86
% 293.42/42.86 [21621] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_842_8)
% 293.42/42.86
% 293.42/42.86 [21622] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_842_8))
% 293.42/42.86
% 293.42/42.86 [21567] BETA_OR : (left_convergent_lines(skolem_N7979, M38_842_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_842_8)))
% 293.42/42.86 -> [21576] left_convergent_lines(skolem_N7979, M38_842_8)
% 293.42/42.86 -> [21577] left_convergent_lines(skolem_N7979, reverse_line(M38_842_8))
% 293.42/42.86
% 293.42/42.86 [21576] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [23203] ~(left_apart_point(A39_1838_9, L40_1838_9) | left_apart_point(A39_1838_9, reverse_line(L40_1838_9)))
% 293.42/42.86
% 293.42/42.86 [23203] ALPHA_NOT_OR : ~(left_apart_point(A39_1838_9, L40_1838_9) | left_apart_point(A39_1838_9, reverse_line(L40_1838_9)))
% 293.42/42.86 -> [23204] ~left_apart_point(A39_1838_9, L40_1838_9), ~left_apart_point(A39_1838_9, reverse_line(L40_1838_9))
% 293.42/42.86
% 293.42/42.86 [23204] CLOSURE : ~left_apart_point(A39_1838_9, L40_1838_9)
% 293.42/42.86
% 293.42/42.86 [21577] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [23284] ~(left_apart_point(A39_1853_9, L40_1853_9) | left_apart_point(A39_1853_9, reverse_line(L40_1853_9)))
% 293.42/42.86
% 293.42/42.86 [23284] ALPHA_NOT_OR : ~(left_apart_point(A39_1853_9, L40_1853_9) | left_apart_point(A39_1853_9, reverse_line(L40_1853_9)))
% 293.42/42.86 -> [23285] ~left_apart_point(A39_1853_9, L40_1853_9), ~left_apart_point(A39_1853_9, reverse_line(L40_1853_9))
% 293.42/42.86
% 293.42/42.86 [23285] CLOSURE : ~left_apart_point(A39_1853_9, L40_1853_9)
% 293.42/42.86
% 293.42/42.86 [21427] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [21578] ((unequally_directed_lines(skolem_N7979, M38_843_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_843_8))) => (left_convergent_lines(skolem_N7979, M38_843_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_843_8))))
% 293.42/42.86
% 293.42/42.86 [21578] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_843_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_843_8))) => (left_convergent_lines(skolem_N7979, M38_843_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_843_8))))
% 293.42/42.86 -> [21579] ~(unequally_directed_lines(skolem_N7979, M38_843_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_843_8)))
% 293.42/42.86 -> [21580] (left_convergent_lines(skolem_N7979, M38_843_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_843_8)))
% 293.42/42.86
% 293.42/42.86 [21579] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_843_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_843_8)))
% 293.42/42.86 -> [21635] ~unequally_directed_lines(skolem_N7979, M38_843_8)
% 293.42/42.86 -> [21636] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_843_8))
% 293.42/42.86
% 293.42/42.86 [21636] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_843_8))
% 293.42/42.86
% 293.42/42.86 [21635] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_843_8)
% 293.42/42.86
% 293.42/42.86 [21580] BETA_OR : (left_convergent_lines(skolem_N7979, M38_843_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_843_8)))
% 293.42/42.86 -> [21586] left_convergent_lines(skolem_N7979, M38_843_8)
% 293.42/42.86 -> [21587] left_convergent_lines(skolem_N7979, reverse_line(M38_843_8))
% 293.42/42.86
% 293.42/42.86 [21586] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [23264] ~(left_apart_point(A39_1849_9, L40_1849_9) | left_apart_point(A39_1849_9, reverse_line(L40_1849_9)))
% 293.42/42.86
% 293.42/42.86 [23264] ALPHA_NOT_OR : ~(left_apart_point(A39_1849_9, L40_1849_9) | left_apart_point(A39_1849_9, reverse_line(L40_1849_9)))
% 293.42/42.86 -> [23266] ~left_apart_point(A39_1849_9, L40_1849_9), ~left_apart_point(A39_1849_9, reverse_line(L40_1849_9))
% 293.42/42.86
% 293.42/42.86 [23266] CLOSURE : ~left_apart_point(A39_1849_9, L40_1849_9)
% 293.42/42.86
% 293.42/42.86 [21587] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [23322] ~(left_apart_point(A39_1864_9, L40_1864_9) | left_apart_point(A39_1864_9, reverse_line(L40_1864_9)))
% 293.42/42.86
% 293.42/42.86 [23322] ALPHA_NOT_OR : ~(left_apart_point(A39_1864_9, L40_1864_9) | left_apart_point(A39_1864_9, reverse_line(L40_1864_9)))
% 293.42/42.86 -> [23325] ~left_apart_point(A39_1864_9, L40_1864_9), ~left_apart_point(A39_1864_9, reverse_line(L40_1864_9))
% 293.42/42.86
% 293.42/42.86 [23325] CLOSURE : ~left_apart_point(A39_1864_9, L40_1864_9)
% 293.42/42.86
% 293.42/42.86 [21366] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.86 -> [21371] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 293.42/42.86 -> [21372] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [21372] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [21371] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [23224] ((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))))
% 293.42/42.86
% 293.42/42.86 [23224] 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))))
% 293.42/42.86 -> [23226] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [23227] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86
% 293.42/42.86 [23227] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [23233] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86 -> [23234] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [23234] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [23303] ~(left_apart_point(A39_1857_9, L40_1857_9) | left_apart_point(A39_1857_9, reverse_line(L40_1857_9)))
% 293.42/42.86
% 293.42/42.86 [23303] ALPHA_NOT_OR : ~(left_apart_point(A39_1857_9, L40_1857_9) | left_apart_point(A39_1857_9, reverse_line(L40_1857_9)))
% 293.42/42.86 -> [23304] ~left_apart_point(A39_1857_9, L40_1857_9), ~left_apart_point(A39_1857_9, reverse_line(L40_1857_9))
% 293.42/42.86
% 293.42/42.86 [23304] CLOSURE : ~left_apart_point(A39_1857_9, L40_1857_9)
% 293.42/42.86
% 293.42/42.86 [23233] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [23314] ~(left_apart_point(A39_1862_9, L40_1862_9) | left_apart_point(A39_1862_9, reverse_line(L40_1862_9)))
% 293.42/42.86
% 293.42/42.86 [23314] ALPHA_NOT_OR : ~(left_apart_point(A39_1862_9, L40_1862_9) | left_apart_point(A39_1862_9, reverse_line(L40_1862_9)))
% 293.42/42.86 -> [23319] ~left_apart_point(A39_1862_9, L40_1862_9), ~left_apart_point(A39_1862_9, reverse_line(L40_1862_9))
% 293.42/42.86
% 293.42/42.86 [23319] CLOSURE : ~left_apart_point(A39_1862_9, L40_1862_9)
% 293.42/42.86
% 293.42/42.86 [23226] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [23245] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86 -> [23246] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [23246] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [23245] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86
% 293.42/42.86 [301] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.86 -> [306] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.86
% 293.42/42.86 [306] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.42/42.86 -> [310] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))
% 293.42/42.86 -> [311] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.86
% 293.42/42.86 [311] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.86 -> [344] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.86
% 293.42/42.86 [344] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.86 -> [420] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.42/42.86 -> [421] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [421] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.86 -> [747] ~distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.86
% 293.42/42.86 [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))))
% 293.42/42.86 -> [945] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.86
% 293.42/42.86 [945] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.86 -> [950] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.86 -> [951] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.86
% 293.42/42.86 [950] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.86
% 293.42/42.86 [951] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.86 -> [4082] distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.86 -> [4083] distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.86
% 293.42/42.86 [4083] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.86
% 293.42/42.86 [4082] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.86 -> [4757] ~distinct_lines(N27_124_3, N27_124_3)
% 293.42/42.86
% 293.42/42.86 [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))))
% 293.42/42.86 -> [4774] (distinct_lines(N27_124_3, N27_124_3) => (distinct_lines(N27_124_3, N27_124_3) | distinct_lines(N27_124_3, N27_124_3)))
% 293.42/42.86
% 293.42/42.86 [4774] BETA_IMPLY : (distinct_lines(N27_124_3, N27_124_3) => (distinct_lines(N27_124_3, N27_124_3) | distinct_lines(N27_124_3, N27_124_3)))
% 293.42/42.86 -> [4775] ~distinct_lines(N27_124_3, N27_124_3)
% 293.42/42.86 -> [4776] (distinct_lines(N27_124_3, N27_124_3) | distinct_lines(N27_124_3, N27_124_3))
% 293.42/42.86
% 293.42/42.86 [4776] BETA_OR : (distinct_lines(N27_124_3, N27_124_3) | distinct_lines(N27_124_3, N27_124_3))
% 293.42/42.86 -> [4777] distinct_lines(N27_124_3, N27_124_3)
% 293.42/42.86 -> [4778] distinct_lines(N27_124_3, N27_124_3)
% 293.42/42.86
% 293.42/42.86 [4777] CLOSURE : distinct_lines(N27_124_3, N27_124_3)
% 293.42/42.86
% 293.42/42.86 [4778] CLOSURE : distinct_lines(N27_124_3, N27_124_3)
% 293.42/42.86
% 293.42/42.86 [4775] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.86 -> [4835] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [4835] 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))))
% 293.42/42.86 -> [4944] (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)))
% 293.42/42.86
% 293.42/42.86 [4944] 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)))
% 293.42/42.86 -> [4945] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86 -> [4946] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [4945] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [4946] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.86 -> [6233] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86 -> [6234] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [6233] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [6234] 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))))))
% 293.42/42.86 -> [8867] ((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)))))
% 293.42/42.86
% 293.42/42.86 [8867] 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)))))
% 293.42/42.86 -> [8868] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [8869] ((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))))
% 293.42/42.86
% 293.42/42.86 [8868] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [8940] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86 -> [8941] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [8941] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [8940] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86
% 293.42/42.86 [8869] 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))))
% 293.42/42.86 -> [11536] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [11537] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.86
% 293.42/42.86 [11536] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [11597] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [11597] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [11537] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [11540] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [11540] 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)))))
% 293.42/42.86 -> [12008] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.86
% 293.42/42.86 [12008] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.86 -> [12011] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.86 -> [12012] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.86
% 293.42/42.86 [12011] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.86 -> [12028] ~line(skolem_M7878)
% 293.42/42.86 -> [12029] ~line(skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [12029] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [12310] ((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))))
% 293.42/42.86
% 293.42/42.86 [12310] 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))))
% 293.42/42.86 -> [12311] ~(unequally_directed_lines(skolem_N7979, M38_267_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_267_8)))
% 293.42/42.86 -> [12312] (left_convergent_lines(skolem_N7979, M38_267_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_267_8)))
% 293.42/42.86
% 293.42/42.86 [12312] BETA_OR : (left_convergent_lines(skolem_N7979, M38_267_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_267_8)))
% 293.42/42.86 -> [12380] left_convergent_lines(skolem_N7979, M38_267_8)
% 293.42/42.86 -> [12381] left_convergent_lines(skolem_N7979, reverse_line(M38_267_8))
% 293.42/42.86
% 293.42/42.86 [12380] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [12402] ~(left_apart_point(A39_517_9, L40_517_9) | left_apart_point(A39_517_9, reverse_line(L40_517_9)))
% 293.42/42.86
% 293.42/42.86 [12402] ALPHA_NOT_OR : ~(left_apart_point(A39_517_9, L40_517_9) | left_apart_point(A39_517_9, reverse_line(L40_517_9)))
% 293.42/42.86 -> [12403] ~left_apart_point(A39_517_9, L40_517_9), ~left_apart_point(A39_517_9, reverse_line(L40_517_9))
% 293.42/42.86
% 293.42/42.86 [12403] CLOSURE : ~left_apart_point(A39_517_9, L40_517_9)
% 293.42/42.86
% 293.42/42.86 [12381] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [12406] ~(left_apart_point(A39_519_9, L40_519_9) | left_apart_point(A39_519_9, reverse_line(L40_519_9)))
% 293.42/42.86
% 293.42/42.86 [12406] ALPHA_NOT_OR : ~(left_apart_point(A39_519_9, L40_519_9) | left_apart_point(A39_519_9, reverse_line(L40_519_9)))
% 293.42/42.86 -> [12407] ~left_apart_point(A39_519_9, L40_519_9), ~left_apart_point(A39_519_9, reverse_line(L40_519_9))
% 293.42/42.86
% 293.42/42.86 [12407] CLOSURE : ~left_apart_point(A39_519_9, L40_519_9)
% 293.42/42.86
% 293.42/42.86 [12311] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_267_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_267_8)))
% 293.42/42.86 -> [12325] ~unequally_directed_lines(skolem_N7979, M38_267_8)
% 293.42/42.86 -> [12326] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_267_8))
% 293.42/42.86
% 293.42/42.86 [12326] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_267_8))
% 293.42/42.86
% 293.42/42.86 [12325] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_267_8)
% 293.42/42.86
% 293.42/42.86 [12028] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [12495] ((unequally_directed_lines(skolem_N7979, M38_279_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_279_8))) => (left_convergent_lines(skolem_N7979, M38_279_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_279_8))))
% 293.42/42.86
% 293.42/42.86 [12495] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_279_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_279_8))) => (left_convergent_lines(skolem_N7979, M38_279_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_279_8))))
% 293.42/42.86 -> [12499] ~(unequally_directed_lines(skolem_N7979, M38_279_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_279_8)))
% 293.42/42.86 -> [12500] (left_convergent_lines(skolem_N7979, M38_279_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_279_8)))
% 293.42/42.86
% 293.42/42.86 [12500] BETA_OR : (left_convergent_lines(skolem_N7979, M38_279_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_279_8)))
% 293.42/42.86 -> [12505] left_convergent_lines(skolem_N7979, M38_279_8)
% 293.42/42.86 -> [12506] left_convergent_lines(skolem_N7979, reverse_line(M38_279_8))
% 293.42/42.86
% 293.42/42.86 [12506] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [12706] ~(left_apart_point(A39_534_9, L40_534_9) | left_apart_point(A39_534_9, reverse_line(L40_534_9)))
% 293.42/42.86
% 293.42/42.86 [12706] ALPHA_NOT_OR : ~(left_apart_point(A39_534_9, L40_534_9) | left_apart_point(A39_534_9, reverse_line(L40_534_9)))
% 293.42/42.86 -> [12710] ~left_apart_point(A39_534_9, L40_534_9), ~left_apart_point(A39_534_9, reverse_line(L40_534_9))
% 293.42/42.86
% 293.42/42.86 [12710] CLOSURE : ~left_apart_point(A39_534_9, L40_534_9)
% 293.42/42.86
% 293.42/42.86 [12505] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [12740] ~(left_apart_point(A39_538_9, L40_538_9) | left_apart_point(A39_538_9, reverse_line(L40_538_9)))
% 293.42/42.86
% 293.42/42.86 [12740] ALPHA_NOT_OR : ~(left_apart_point(A39_538_9, L40_538_9) | left_apart_point(A39_538_9, reverse_line(L40_538_9)))
% 293.42/42.86 -> [12741] ~left_apart_point(A39_538_9, L40_538_9), ~left_apart_point(A39_538_9, reverse_line(L40_538_9))
% 293.42/42.86
% 293.42/42.86 [12741] CLOSURE : ~left_apart_point(A39_538_9, L40_538_9)
% 293.42/42.86
% 293.42/42.86 [12499] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_279_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_279_8)))
% 293.42/42.86 -> [12519] ~unequally_directed_lines(skolem_N7979, M38_279_8)
% 293.42/42.86 -> [12520] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_279_8))
% 293.42/42.86
% 293.42/42.86 [12520] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_279_8))
% 293.42/42.86
% 293.42/42.86 [12519] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_279_8)
% 293.42/42.86
% 293.42/42.86 [12012] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [12013] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86 -> [12014] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [12013] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [12014] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [12361] ((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))))
% 293.42/42.86
% 293.42/42.86 [12361] 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))))
% 293.42/42.86 -> [12365] ~(unequally_directed_lines(skolem_N7979, M38_271_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_271_8)))
% 293.42/42.86 -> [12366] (left_convergent_lines(skolem_N7979, M38_271_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_271_8)))
% 293.42/42.86
% 293.42/42.86 [12366] BETA_OR : (left_convergent_lines(skolem_N7979, M38_271_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_271_8)))
% 293.42/42.86 -> [12371] left_convergent_lines(skolem_N7979, M38_271_8)
% 293.42/42.86 -> [12372] left_convergent_lines(skolem_N7979, reverse_line(M38_271_8))
% 293.42/42.86
% 293.42/42.86 [12372] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [12644] ~(left_apart_point(A39_528_9, L40_528_9) | left_apart_point(A39_528_9, reverse_line(L40_528_9)))
% 293.42/42.86
% 293.42/42.86 [12644] ALPHA_NOT_OR : ~(left_apart_point(A39_528_9, L40_528_9) | left_apart_point(A39_528_9, reverse_line(L40_528_9)))
% 293.42/42.86 -> [12648] ~left_apart_point(A39_528_9, L40_528_9), ~left_apart_point(A39_528_9, reverse_line(L40_528_9))
% 293.42/42.86
% 293.42/42.86 [12648] CLOSURE : ~left_apart_point(A39_528_9, L40_528_9)
% 293.42/42.86
% 293.42/42.86 [12371] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [12728] ~(left_apart_point(A39_536_9, L40_536_9) | left_apart_point(A39_536_9, reverse_line(L40_536_9)))
% 293.42/42.86
% 293.42/42.86 [12728] ALPHA_NOT_OR : ~(left_apart_point(A39_536_9, L40_536_9) | left_apart_point(A39_536_9, reverse_line(L40_536_9)))
% 293.42/42.86 -> [12729] ~left_apart_point(A39_536_9, L40_536_9), ~left_apart_point(A39_536_9, reverse_line(L40_536_9))
% 293.42/42.86
% 293.42/42.86 [12729] CLOSURE : ~left_apart_point(A39_536_9, L40_536_9)
% 293.42/42.86
% 293.42/42.86 [12365] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_271_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_271_8)))
% 293.42/42.86 -> [12396] ~unequally_directed_lines(skolem_N7979, M38_271_8)
% 293.42/42.86 -> [12397] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_271_8))
% 293.42/42.86
% 293.42/42.86 [12397] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_271_8))
% 293.42/42.86
% 293.42/42.86 [12396] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_271_8)
% 293.42/42.86
% 293.42/42.86 [420] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.86 -> [916] ~distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.86
% 293.42/42.86 [916] 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))))
% 293.42/42.86 -> [1361] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.86
% 293.42/42.86 [1361] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.86 -> [1363] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.86 -> [1364] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.86
% 293.42/42.86 [1363] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.86
% 293.42/42.86 [1364] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.86 -> [5609] distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.86 -> [5610] distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.86
% 293.42/42.86 [5610] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.86
% 293.42/42.86 [5609] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.86 -> [6365] ~distinct_lines(N27_211_3, N27_211_3)
% 293.42/42.86
% 293.42/42.86 [6365] 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))))
% 293.42/42.86 -> [6701] (distinct_lines(N27_211_3, N27_211_3) => (distinct_lines(N27_211_3, N27_211_3) | distinct_lines(N27_211_3, N27_211_3)))
% 293.42/42.86
% 293.42/42.86 [6701] BETA_IMPLY : (distinct_lines(N27_211_3, N27_211_3) => (distinct_lines(N27_211_3, N27_211_3) | distinct_lines(N27_211_3, N27_211_3)))
% 293.42/42.86 -> [6702] ~distinct_lines(N27_211_3, N27_211_3)
% 293.42/42.86 -> [6703] (distinct_lines(N27_211_3, N27_211_3) | distinct_lines(N27_211_3, N27_211_3))
% 293.42/42.86
% 293.42/42.86 [6703] BETA_OR : (distinct_lines(N27_211_3, N27_211_3) | distinct_lines(N27_211_3, N27_211_3))
% 293.42/42.86 -> [6705] distinct_lines(N27_211_3, N27_211_3)
% 293.42/42.86 -> [6706] distinct_lines(N27_211_3, N27_211_3)
% 293.42/42.86
% 293.42/42.86 [6706] CLOSURE : distinct_lines(N27_211_3, N27_211_3)
% 293.42/42.86
% 293.42/42.86 [6705] CLOSURE : distinct_lines(N27_211_3, N27_211_3)
% 293.42/42.86
% 293.42/42.86 [6702] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.86 -> [6871] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [6871] 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))))
% 293.42/42.86 -> [7772] (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)))
% 293.42/42.86
% 293.42/42.86 [7772] 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)))
% 293.42/42.86 -> [7774] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86 -> [7775] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [7774] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [7775] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.86 -> [12878] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86 -> [12879] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [12878] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [12879] 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))))))
% 293.42/42.86 -> [13792] ((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)))))
% 293.42/42.86
% 293.42/42.86 [13792] 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)))))
% 293.42/42.86 -> [13794] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [13795] ((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))))
% 293.42/42.86
% 293.42/42.86 [13794] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [13842] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86 -> [13843] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [13843] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [13842] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86
% 293.42/42.86 [13795] 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))))
% 293.42/42.86 -> [14426] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [14427] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.86
% 293.42/42.86 [14426] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [14436] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [14436] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [14427] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [14432] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [14432] 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)))))
% 293.42/42.86 -> [14456] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.86
% 293.42/42.86 [14456] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.86 -> [14457] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.86 -> [14458] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.86
% 293.42/42.86 [14457] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.86 -> [14474] ~line(skolem_M7878)
% 293.42/42.86 -> [14475] ~line(skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [14474] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [14541] ((unequally_directed_lines(skolem_N7979, M38_402_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_402_8))) => (left_convergent_lines(skolem_N7979, M38_402_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_402_8))))
% 293.42/42.86
% 293.42/42.86 [14541] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_402_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_402_8))) => (left_convergent_lines(skolem_N7979, M38_402_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_402_8))))
% 293.42/42.86 -> [14542] ~(unequally_directed_lines(skolem_N7979, M38_402_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_402_8)))
% 293.42/42.86 -> [14543] (left_convergent_lines(skolem_N7979, M38_402_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_402_8)))
% 293.42/42.86
% 293.42/42.86 [14542] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_402_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_402_8)))
% 293.42/42.86 -> [14582] ~unequally_directed_lines(skolem_N7979, M38_402_8)
% 293.42/42.86 -> [14583] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_402_8))
% 293.42/42.86
% 293.42/42.86 [14583] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_402_8))
% 293.42/42.86
% 293.42/42.86 [14582] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_402_8)
% 293.42/42.86
% 293.42/42.86 [14543] BETA_OR : (left_convergent_lines(skolem_N7979, M38_402_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_402_8)))
% 293.42/42.86 -> [14548] left_convergent_lines(skolem_N7979, M38_402_8)
% 293.42/42.86 -> [14549] left_convergent_lines(skolem_N7979, reverse_line(M38_402_8))
% 293.42/42.86
% 293.42/42.86 [14548] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [14654] ~(left_apart_point(A39_766_9, L40_766_9) | left_apart_point(A39_766_9, reverse_line(L40_766_9)))
% 293.42/42.86
% 293.42/42.86 [14654] ALPHA_NOT_OR : ~(left_apart_point(A39_766_9, L40_766_9) | left_apart_point(A39_766_9, reverse_line(L40_766_9)))
% 293.42/42.86 -> [14660] ~left_apart_point(A39_766_9, L40_766_9), ~left_apart_point(A39_766_9, reverse_line(L40_766_9))
% 293.42/42.86
% 293.42/42.86 [14660] CLOSURE : ~left_apart_point(A39_766_9, L40_766_9)
% 293.42/42.86
% 293.42/42.86 [14549] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [14804] ~(left_apart_point(A39_792_9, L40_792_9) | left_apart_point(A39_792_9, reverse_line(L40_792_9)))
% 293.42/42.86
% 293.42/42.86 [14804] ALPHA_NOT_OR : ~(left_apart_point(A39_792_9, L40_792_9) | left_apart_point(A39_792_9, reverse_line(L40_792_9)))
% 293.42/42.86 -> [14810] ~left_apart_point(A39_792_9, L40_792_9), ~left_apart_point(A39_792_9, reverse_line(L40_792_9))
% 293.42/42.86
% 293.42/42.86 [14810] CLOSURE : ~left_apart_point(A39_792_9, L40_792_9)
% 293.42/42.86
% 293.42/42.86 [14475] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [14499] ((unequally_directed_lines(skolem_N7979, M38_400_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_400_8))) => (left_convergent_lines(skolem_N7979, M38_400_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_400_8))))
% 293.42/42.86
% 293.42/42.86 [14499] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_400_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_400_8))) => (left_convergent_lines(skolem_N7979, M38_400_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_400_8))))
% 293.42/42.86 -> [14505] ~(unequally_directed_lines(skolem_N7979, M38_400_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_400_8)))
% 293.42/42.86 -> [14506] (left_convergent_lines(skolem_N7979, M38_400_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_400_8)))
% 293.42/42.86
% 293.42/42.86 [14505] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_400_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_400_8)))
% 293.42/42.86 -> [14550] ~unequally_directed_lines(skolem_N7979, M38_400_8)
% 293.42/42.86 -> [14551] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_400_8))
% 293.42/42.86
% 293.42/42.86 [14550] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_400_8)
% 293.42/42.86
% 293.42/42.86 [14551] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_400_8))
% 293.42/42.86
% 293.42/42.86 [14506] BETA_OR : (left_convergent_lines(skolem_N7979, M38_400_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_400_8)))
% 293.42/42.86 -> [14518] left_convergent_lines(skolem_N7979, M38_400_8)
% 293.42/42.86 -> [14519] left_convergent_lines(skolem_N7979, reverse_line(M38_400_8))
% 293.42/42.86
% 293.42/42.86 [14518] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [14631] ~(left_apart_point(A39_761_9, L40_761_9) | left_apart_point(A39_761_9, reverse_line(L40_761_9)))
% 293.42/42.86
% 293.42/42.86 [14631] ALPHA_NOT_OR : ~(left_apart_point(A39_761_9, L40_761_9) | left_apart_point(A39_761_9, reverse_line(L40_761_9)))
% 293.42/42.86 -> [14634] ~left_apart_point(A39_761_9, L40_761_9), ~left_apart_point(A39_761_9, reverse_line(L40_761_9))
% 293.42/42.86
% 293.42/42.86 [14634] CLOSURE : ~left_apart_point(A39_761_9, L40_761_9)
% 293.42/42.86
% 293.42/42.86 [14519] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [14824] ~(left_apart_point(A39_797_9, L40_797_9) | left_apart_point(A39_797_9, reverse_line(L40_797_9)))
% 293.42/42.86
% 293.42/42.86 [14824] ALPHA_NOT_OR : ~(left_apart_point(A39_797_9, L40_797_9) | left_apart_point(A39_797_9, reverse_line(L40_797_9)))
% 293.42/42.86 -> [14825] ~left_apart_point(A39_797_9, L40_797_9), ~left_apart_point(A39_797_9, reverse_line(L40_797_9))
% 293.42/42.86
% 293.42/42.86 [14825] CLOSURE : ~left_apart_point(A39_797_9, L40_797_9)
% 293.42/42.86
% 293.42/42.86 [14458] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [14464] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86 -> [14465] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [14464] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [14465] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [14526] ((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))))
% 293.42/42.86
% 293.42/42.86 [14526] 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))))
% 293.42/42.86 -> [14528] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [14529] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86
% 293.42/42.86 [14528] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [14561] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86 -> [14562] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [14561] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86
% 293.42/42.86 [14562] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [14529] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [14534] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86 -> [14535] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [14534] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [14842] ~(left_apart_point(A39_801_9, L40_801_9) | left_apart_point(A39_801_9, reverse_line(L40_801_9)))
% 293.42/42.86
% 293.42/42.86 [14842] ALPHA_NOT_OR : ~(left_apart_point(A39_801_9, L40_801_9) | left_apart_point(A39_801_9, reverse_line(L40_801_9)))
% 293.42/42.86 -> [14845] ~left_apart_point(A39_801_9, L40_801_9), ~left_apart_point(A39_801_9, reverse_line(L40_801_9))
% 293.42/42.86
% 293.42/42.86 [14845] CLOSURE : ~left_apart_point(A39_801_9, L40_801_9)
% 293.42/42.86
% 293.42/42.86 [14535] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [14622] ~(left_apart_point(A39_760_9, L40_760_9) | left_apart_point(A39_760_9, reverse_line(L40_760_9)))
% 293.42/42.86
% 293.42/42.86 [14622] ALPHA_NOT_OR : ~(left_apart_point(A39_760_9, L40_760_9) | left_apart_point(A39_760_9, reverse_line(L40_760_9)))
% 293.42/42.86 -> [14920] ~left_apart_point(A39_760_9, L40_760_9), ~left_apart_point(A39_760_9, reverse_line(L40_760_9))
% 293.42/42.86
% 293.42/42.86 [14920] CLOSURE : ~left_apart_point(A39_760_9, L40_760_9)
% 293.42/42.86
% 293.42/42.86 [310] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.86 -> [462] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.42/42.86 -> [463] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [463] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.86 -> [1214] ~distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.86
% 293.42/42.86 [1214] 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))))
% 293.42/42.86 -> [2617] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.86
% 293.42/42.86 [2617] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.86 -> [2618] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.86 -> [2619] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.86
% 293.42/42.86 [2618] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.86
% 293.42/42.86 [2619] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.86 -> [3177] distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.86 -> [3178] distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.86
% 293.42/42.86 [3178] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.86
% 293.42/42.86 [3177] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.86 -> [4233] ~distinct_lines(N27_106_3, N27_106_3)
% 293.42/42.86
% 293.42/42.86 [4233] 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))))
% 293.42/42.86 -> [4392] (distinct_lines(N27_106_3, N27_106_3) => (distinct_lines(N27_106_3, N27_106_3) | distinct_lines(N27_106_3, N27_106_3)))
% 293.42/42.86
% 293.42/42.86 [4392] 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)))
% 293.42/42.86 -> [4393] ~distinct_lines(N27_106_3, N27_106_3)
% 293.42/42.86 -> [4394] (distinct_lines(N27_106_3, N27_106_3) | distinct_lines(N27_106_3, N27_106_3))
% 293.42/42.86
% 293.42/42.86 [4394] BETA_OR : (distinct_lines(N27_106_3, N27_106_3) | distinct_lines(N27_106_3, N27_106_3))
% 293.42/42.86 -> [4396] distinct_lines(N27_106_3, N27_106_3)
% 293.42/42.86 -> [4397] distinct_lines(N27_106_3, N27_106_3)
% 293.42/42.86
% 293.42/42.86 [4397] CLOSURE : distinct_lines(N27_106_3, N27_106_3)
% 293.42/42.86
% 293.42/42.86 [4396] CLOSURE : distinct_lines(N27_106_3, N27_106_3)
% 293.42/42.86
% 293.42/42.86 [4393] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.86 -> [4605] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [4605] 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))))
% 293.42/42.86 -> [4844] (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))))
% 293.42/42.86
% 293.42/42.86 [4844] 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))))
% 293.42/42.86 -> [4846] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86 -> [4847] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.86
% 293.42/42.86 [4846] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [4847] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.86 -> [7195] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86 -> [7196] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [7196] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [7195] 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))))))
% 293.42/42.86 -> [9618] ((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)))))
% 293.42/42.86
% 293.42/42.86 [9618] 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)))))
% 293.42/42.86 -> [9620] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [9621] ((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))))
% 293.42/42.86
% 293.42/42.86 [9620] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [9670] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86 -> [9671] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [9671] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [9670] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86
% 293.42/42.86 [9621] 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))))
% 293.42/42.86 -> [12987] (unequally_directed_lines(skolem_M7878, N34_109_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_109_6)))
% 293.42/42.86 -> [12988] (unequally_directed_lines(skolem_N7979, N34_109_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_109_6)))
% 293.42/42.86
% 293.42/42.86 [12987] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_109_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_109_6)))
% 293.42/42.86 -> [13013] unequally_directed_lines(skolem_M7878, N34_109_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_109_6))
% 293.42/42.86
% 293.42/42.86 [13013] 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)))))
% 293.42/42.86 -> [13226] ((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)))))
% 293.42/42.86
% 293.42/42.86 [13226] 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)))))
% 293.42/42.86 -> [13227] ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.86 -> [13228] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 293.42/42.86
% 293.42/42.86 [13227] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.86 -> [13269] ~line(reverse_line(skolem_N7979))
% 293.42/42.86 -> [13270] ~line(reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [13269] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [13457] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.86
% 293.42/42.86 [13457] 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))))
% 293.42/42.86 -> [13462] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [13463] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86
% 293.42/42.86 [13462] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [13517] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.86 -> [13518] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [13518] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [13517] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [13463] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [13464] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.86 -> [13465] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [13464] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [13614] ~(left_apart_point(A39_638_9, L40_638_9) | left_apart_point(A39_638_9, reverse_line(L40_638_9)))
% 293.42/42.86
% 293.42/42.86 [13614] ALPHA_NOT_OR : ~(left_apart_point(A39_638_9, L40_638_9) | left_apart_point(A39_638_9, reverse_line(L40_638_9)))
% 293.42/42.86 -> [13619] ~left_apart_point(A39_638_9, L40_638_9), ~left_apart_point(A39_638_9, reverse_line(L40_638_9))
% 293.42/42.86
% 293.42/42.86 [13619] CLOSURE : ~left_apart_point(A39_638_9, L40_638_9)
% 293.42/42.86
% 293.42/42.86 [13465] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [13943] ~(left_apart_point(A39_685_9, L40_685_9) | left_apart_point(A39_685_9, reverse_line(L40_685_9)))
% 293.42/42.86
% 293.42/42.86 [13943] ALPHA_NOT_OR : ~(left_apart_point(A39_685_9, L40_685_9) | left_apart_point(A39_685_9, reverse_line(L40_685_9)))
% 293.42/42.86 -> [13944] ~left_apart_point(A39_685_9, L40_685_9), ~left_apart_point(A39_685_9, reverse_line(L40_685_9))
% 293.42/42.86
% 293.42/42.86 [13944] CLOSURE : ~left_apart_point(A39_685_9, L40_685_9)
% 293.42/42.86
% 293.42/42.86 [13270] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [13405] ((unequally_directed_lines(skolem_M7878, M38_326_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_326_8))) => (left_convergent_lines(skolem_M7878, M38_326_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_326_8))))
% 293.42/42.86
% 293.42/42.86 [13405] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_326_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_326_8))) => (left_convergent_lines(skolem_M7878, M38_326_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_326_8))))
% 293.42/42.86 -> [13406] ~(unequally_directed_lines(skolem_M7878, M38_326_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_326_8)))
% 293.42/42.86 -> [13407] (left_convergent_lines(skolem_M7878, M38_326_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_326_8)))
% 293.42/42.86
% 293.42/42.86 [13407] BETA_OR : (left_convergent_lines(skolem_M7878, M38_326_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_326_8)))
% 293.42/42.86 -> [13410] left_convergent_lines(skolem_M7878, M38_326_8)
% 293.42/42.86 -> [13411] left_convergent_lines(skolem_M7878, reverse_line(M38_326_8))
% 293.42/42.86
% 293.42/42.86 [13411] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [13570] ~(left_apart_point(A39_632_9, L40_632_9) | left_apart_point(A39_632_9, reverse_line(L40_632_9)))
% 293.42/42.86
% 293.42/42.86 [13570] ALPHA_NOT_OR : ~(left_apart_point(A39_632_9, L40_632_9) | left_apart_point(A39_632_9, reverse_line(L40_632_9)))
% 293.42/42.86 -> [13573] ~left_apart_point(A39_632_9, L40_632_9), ~left_apart_point(A39_632_9, reverse_line(L40_632_9))
% 293.42/42.86
% 293.42/42.86 [13573] CLOSURE : ~left_apart_point(A39_632_9, L40_632_9)
% 293.42/42.86
% 293.42/42.86 [13410] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [13623] ~(left_apart_point(A39_639_9, L40_639_9) | left_apart_point(A39_639_9, reverse_line(L40_639_9)))
% 293.42/42.86
% 293.42/42.86 [13623] ALPHA_NOT_OR : ~(left_apart_point(A39_639_9, L40_639_9) | left_apart_point(A39_639_9, reverse_line(L40_639_9)))
% 293.42/42.86 -> [13625] ~left_apart_point(A39_639_9, L40_639_9), ~left_apart_point(A39_639_9, reverse_line(L40_639_9))
% 293.42/42.86
% 293.42/42.86 [13625] CLOSURE : ~left_apart_point(A39_639_9, L40_639_9)
% 293.42/42.86
% 293.42/42.86 [13406] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_326_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_326_8)))
% 293.42/42.86 -> [13473] ~unequally_directed_lines(skolem_M7878, M38_326_8)
% 293.42/42.86 -> [13474] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_326_8))
% 293.42/42.86
% 293.42/42.86 [13474] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_326_8))
% 293.42/42.86
% 293.42/42.86 [13473] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_326_8)
% 293.42/42.86
% 293.42/42.86 [13228] 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))))
% 293.42/42.86 -> [13230] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.86 -> [13231] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 293.42/42.86
% 293.42/42.86 [13230] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [13231] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [14378] ((unequally_directed_lines(skolem_M7878, M38_390_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_390_8))) => (left_convergent_lines(skolem_M7878, M38_390_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_390_8))))
% 293.42/42.86
% 293.42/42.86 [14378] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_390_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_390_8))) => (left_convergent_lines(skolem_M7878, M38_390_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_390_8))))
% 293.42/42.86 -> [14382] ~(unequally_directed_lines(skolem_M7878, M38_390_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_390_8)))
% 293.42/42.86 -> [14383] (left_convergent_lines(skolem_M7878, M38_390_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_390_8)))
% 293.42/42.86
% 293.42/42.86 [14382] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_390_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_390_8)))
% 293.42/42.86 -> [14407] ~unequally_directed_lines(skolem_M7878, M38_390_8)
% 293.42/42.86 -> [14408] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_390_8))
% 293.42/42.86
% 293.42/42.86 [14408] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_390_8))
% 293.42/42.86
% 293.42/42.86 [14407] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_390_8)
% 293.42/42.86
% 293.42/42.86 [14383] BETA_OR : (left_convergent_lines(skolem_M7878, M38_390_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_390_8)))
% 293.42/42.86 -> [14389] left_convergent_lines(skolem_M7878, M38_390_8)
% 293.42/42.86 -> [14390] left_convergent_lines(skolem_M7878, reverse_line(M38_390_8))
% 293.42/42.86
% 293.42/42.86 [14390] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [14513] ~(left_apart_point(A39_750_9, L40_750_9) | left_apart_point(A39_750_9, reverse_line(L40_750_9)))
% 293.42/42.86
% 293.42/42.86 [14513] ALPHA_NOT_OR : ~(left_apart_point(A39_750_9, L40_750_9) | left_apart_point(A39_750_9, reverse_line(L40_750_9)))
% 293.42/42.86 -> [14515] ~left_apart_point(A39_750_9, L40_750_9), ~left_apart_point(A39_750_9, reverse_line(L40_750_9))
% 293.42/42.86
% 293.42/42.86 [14515] CLOSURE : ~left_apart_point(A39_750_9, L40_750_9)
% 293.42/42.86
% 293.42/42.86 [14389] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [14538] ~(left_apart_point(A39_752_9, L40_752_9) | left_apart_point(A39_752_9, reverse_line(L40_752_9)))
% 293.42/42.86
% 293.42/42.86 [14538] ALPHA_NOT_OR : ~(left_apart_point(A39_752_9, L40_752_9) | left_apart_point(A39_752_9, reverse_line(L40_752_9)))
% 293.42/42.86 -> [14539] ~left_apart_point(A39_752_9, L40_752_9), ~left_apart_point(A39_752_9, reverse_line(L40_752_9))
% 293.42/42.86
% 293.42/42.86 [14539] CLOSURE : ~left_apart_point(A39_752_9, L40_752_9)
% 293.42/42.86
% 293.42/42.86 [12988] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_109_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_109_6)))
% 293.42/42.86 -> [12992] unequally_directed_lines(skolem_N7979, N34_109_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_109_6))
% 293.42/42.86
% 293.42/42.86 [12992] 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)))))
% 293.42/42.86 -> [13177] ((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)))))
% 293.42/42.86
% 293.42/42.86 [13177] 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)))))
% 293.42/42.86 -> [13178] ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.86 -> [13179] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 293.42/42.86
% 293.42/42.86 [13178] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.86 -> [13237] ~line(reverse_line(skolem_N7979))
% 293.42/42.86 -> [13238] ~line(reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [13238] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [13360] ((unequally_directed_lines(skolem_N7979, M38_322_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_322_8))) => (left_convergent_lines(skolem_N7979, M38_322_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_322_8))))
% 293.42/42.86
% 293.42/42.86 [13360] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_322_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_322_8))) => (left_convergent_lines(skolem_N7979, M38_322_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_322_8))))
% 293.42/42.86 -> [13361] ~(unequally_directed_lines(skolem_N7979, M38_322_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_322_8)))
% 293.42/42.86 -> [13362] (left_convergent_lines(skolem_N7979, M38_322_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_322_8)))
% 293.42/42.86
% 293.42/42.86 [13362] BETA_OR : (left_convergent_lines(skolem_N7979, M38_322_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_322_8)))
% 293.42/42.86 -> [13367] left_convergent_lines(skolem_N7979, M38_322_8)
% 293.42/42.86 -> [13368] left_convergent_lines(skolem_N7979, reverse_line(M38_322_8))
% 293.42/42.86
% 293.42/42.86 [13368] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [13557] ~(left_apart_point(A39_629_9, L40_629_9) | left_apart_point(A39_629_9, reverse_line(L40_629_9)))
% 293.42/42.86
% 293.42/42.86 [13557] ALPHA_NOT_OR : ~(left_apart_point(A39_629_9, L40_629_9) | left_apart_point(A39_629_9, reverse_line(L40_629_9)))
% 293.42/42.86 -> [13561] ~left_apart_point(A39_629_9, L40_629_9), ~left_apart_point(A39_629_9, reverse_line(L40_629_9))
% 293.42/42.86
% 293.42/42.86 [13561] CLOSURE : ~left_apart_point(A39_629_9, L40_629_9)
% 293.42/42.86
% 293.42/42.86 [13367] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [13576] ~(left_apart_point(A39_635_9, L40_635_9) | left_apart_point(A39_635_9, reverse_line(L40_635_9)))
% 293.42/42.86
% 293.42/42.86 [13576] ALPHA_NOT_OR : ~(left_apart_point(A39_635_9, L40_635_9) | left_apart_point(A39_635_9, reverse_line(L40_635_9)))
% 293.42/42.86 -> [13584] ~left_apart_point(A39_635_9, L40_635_9), ~left_apart_point(A39_635_9, reverse_line(L40_635_9))
% 293.42/42.86
% 293.42/42.86 [13584] CLOSURE : ~left_apart_point(A39_635_9, L40_635_9)
% 293.42/42.86
% 293.42/42.86 [13361] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_322_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_322_8)))
% 293.42/42.86 -> [13439] ~unequally_directed_lines(skolem_N7979, M38_322_8)
% 293.42/42.86 -> [13440] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_322_8))
% 293.42/42.86
% 293.42/42.86 [13440] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_322_8))
% 293.42/42.86
% 293.42/42.86 [13439] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_322_8)
% 293.42/42.86
% 293.42/42.86 [13237] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [13416] ((unequally_directed_lines(skolem_N7979, M38_327_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_327_8))) => (left_convergent_lines(skolem_N7979, M38_327_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_327_8))))
% 293.42/42.86
% 293.42/42.86 [13416] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_327_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_327_8))) => (left_convergent_lines(skolem_N7979, M38_327_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_327_8))))
% 293.42/42.86 -> [13417] ~(unequally_directed_lines(skolem_N7979, M38_327_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_327_8)))
% 293.42/42.86 -> [13418] (left_convergent_lines(skolem_N7979, M38_327_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_327_8)))
% 293.42/42.86
% 293.42/42.86 [13417] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_327_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_327_8)))
% 293.42/42.86 -> [13489] ~unequally_directed_lines(skolem_N7979, M38_327_8)
% 293.42/42.86 -> [13490] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_327_8))
% 293.42/42.86
% 293.42/42.86 [13490] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_327_8))
% 293.42/42.86
% 293.42/42.86 [13489] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_327_8)
% 293.42/42.86
% 293.42/42.86 [13418] BETA_OR : (left_convergent_lines(skolem_N7979, M38_327_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_327_8)))
% 293.42/42.86 -> [13423] left_convergent_lines(skolem_N7979, M38_327_8)
% 293.42/42.86 -> [13424] left_convergent_lines(skolem_N7979, reverse_line(M38_327_8))
% 293.42/42.86
% 293.42/42.86 [13423] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [13880] ~(left_apart_point(A39_676_9, L40_676_9) | left_apart_point(A39_676_9, reverse_line(L40_676_9)))
% 293.42/42.86
% 293.42/42.86 [13880] ALPHA_NOT_OR : ~(left_apart_point(A39_676_9, L40_676_9) | left_apart_point(A39_676_9, reverse_line(L40_676_9)))
% 293.42/42.86 -> [13882] ~left_apart_point(A39_676_9, L40_676_9), ~left_apart_point(A39_676_9, reverse_line(L40_676_9))
% 293.42/42.86
% 293.42/42.86 [13882] CLOSURE : ~left_apart_point(A39_676_9, L40_676_9)
% 293.42/42.86
% 293.42/42.86 [13424] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [13890] ~(left_apart_point(A39_677_9, L40_677_9) | left_apart_point(A39_677_9, reverse_line(L40_677_9)))
% 293.42/42.86
% 293.42/42.86 [13890] ALPHA_NOT_OR : ~(left_apart_point(A39_677_9, L40_677_9) | left_apart_point(A39_677_9, reverse_line(L40_677_9)))
% 293.42/42.86 -> [13893] ~left_apart_point(A39_677_9, L40_677_9), ~left_apart_point(A39_677_9, reverse_line(L40_677_9))
% 293.42/42.86
% 293.42/42.86 [13893] CLOSURE : ~left_apart_point(A39_677_9, L40_677_9)
% 293.42/42.86
% 293.42/42.86 [13179] 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))))
% 293.42/42.86 -> [13184] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.86 -> [13185] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 293.42/42.86
% 293.42/42.86 [13184] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [13185] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [14429] ((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))))
% 293.42/42.86
% 293.42/42.86 [14429] 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))))
% 293.42/42.86 -> [14433] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [14434] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86
% 293.42/42.86 [14434] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [14438] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86 -> [14439] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [14439] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [14546] ~(left_apart_point(A39_754_9, L40_754_9) | left_apart_point(A39_754_9, reverse_line(L40_754_9)))
% 293.42/42.86
% 293.42/42.86 [14546] ALPHA_NOT_OR : ~(left_apart_point(A39_754_9, L40_754_9) | left_apart_point(A39_754_9, reverse_line(L40_754_9)))
% 293.42/42.86 -> [14547] ~left_apart_point(A39_754_9, L40_754_9), ~left_apart_point(A39_754_9, reverse_line(L40_754_9))
% 293.42/42.86
% 293.42/42.86 [14547] CLOSURE : ~left_apart_point(A39_754_9, L40_754_9)
% 293.42/42.86
% 293.42/42.86 [14438] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [14557] ~(left_apart_point(A39_755_9, L40_755_9) | left_apart_point(A39_755_9, reverse_line(L40_755_9)))
% 293.42/42.86
% 293.42/42.86 [14557] ALPHA_NOT_OR : ~(left_apart_point(A39_755_9, L40_755_9) | left_apart_point(A39_755_9, reverse_line(L40_755_9)))
% 293.42/42.86 -> [14560] ~left_apart_point(A39_755_9, L40_755_9), ~left_apart_point(A39_755_9, reverse_line(L40_755_9))
% 293.42/42.86
% 293.42/42.86 [14560] CLOSURE : ~left_apart_point(A39_755_9, L40_755_9)
% 293.42/42.86
% 293.42/42.86 [14433] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [14482] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86 -> [14483] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [14482] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86
% 293.42/42.86 [14483] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [462] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.86 -> [688] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.86
% 293.42/42.86 [688] 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))))
% 293.42/42.86 -> [3407] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.86
% 293.42/42.86 [3407] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.86 -> [3409] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.86 -> [3410] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.86
% 293.42/42.86 [3409] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.86
% 293.42/42.86 [3410] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.86 -> [7076] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.86 -> [7077] distinct_points(skolem_C8282, skolem_B8181)
% 293.42/42.86
% 293.42/42.86 [7076] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.86
% 293.42/42.86 [7077] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.86 -> [9246] ~distinct_lines(N27_270_3, N27_270_3)
% 293.42/42.86
% 293.42/42.86 [9246] 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))))
% 293.42/42.86 -> [9318] (distinct_lines(N27_270_3, N27_270_3) => (distinct_lines(N27_270_3, N27_270_3) | distinct_lines(N27_270_3, N27_270_3)))
% 293.42/42.86
% 293.42/42.86 [9318] BETA_IMPLY : (distinct_lines(N27_270_3, N27_270_3) => (distinct_lines(N27_270_3, N27_270_3) | distinct_lines(N27_270_3, N27_270_3)))
% 293.42/42.86 -> [9319] ~distinct_lines(N27_270_3, N27_270_3)
% 293.42/42.86 -> [9320] (distinct_lines(N27_270_3, N27_270_3) | distinct_lines(N27_270_3, N27_270_3))
% 293.42/42.86
% 293.42/42.86 [9320] BETA_OR : (distinct_lines(N27_270_3, N27_270_3) | distinct_lines(N27_270_3, N27_270_3))
% 293.42/42.86 -> [9323] distinct_lines(N27_270_3, N27_270_3)
% 293.42/42.86 -> [9324] distinct_lines(N27_270_3, N27_270_3)
% 293.42/42.86
% 293.42/42.86 [9324] CLOSURE : distinct_lines(N27_270_3, N27_270_3)
% 293.42/42.86
% 293.42/42.86 [9323] CLOSURE : distinct_lines(N27_270_3, N27_270_3)
% 293.42/42.86
% 293.42/42.86 [9319] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.86 -> [9351] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [9351] 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))))
% 293.42/42.86 -> [9361] (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))))
% 293.42/42.86
% 293.42/42.86 [9361] 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))))
% 293.42/42.86 -> [9362] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86 -> [9363] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.86
% 293.42/42.86 [9362] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [9363] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.86 -> [22029] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86 -> [22030] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [22030] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [22029] 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))))))
% 293.42/42.86 -> [25712] ((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))))))
% 293.42/42.86
% 293.42/42.86 [25712] 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))))))
% 293.42/42.86 -> [25717] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [25718] ((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)))))
% 293.42/42.86
% 293.42/42.86 [25717] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [25736] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.86 -> [25737] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [25736] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [25737] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [25718] 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)))))
% 293.42/42.86 -> [26605] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 293.42/42.86 -> [26606] (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 293.42/42.86
% 293.42/42.86 [26605] 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))))
% 293.42/42.86 -> [26608] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)), unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.42/42.86
% 293.42/42.86 [26608] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.42/42.86
% 293.42/42.86 [26606] 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))))
% 293.42/42.86 -> [26607] unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_C8282)), unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.42/42.86
% 293.42/42.86 [26607] 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)))))
% 293.42/42.86 -> [26640] ((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)))))
% 293.42/42.86
% 293.42/42.86 [26640] 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)))))
% 293.42/42.86 -> [26641] ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.86 -> [26642] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))
% 293.42/42.86
% 293.42/42.86 [26641] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.86 -> [26649] ~line(skolem_L7777)
% 293.42/42.86 -> [26650] ~line(line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.86
% 293.42/42.86 [26650] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [26651] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.86
% 293.42/42.86 [26651] 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))))
% 293.42/42.86 -> [26653] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [26654] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86
% 293.42/42.86 [26654] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [26657] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.86 -> [26658] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [26657] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [26668] ~(left_apart_point(A39_2378_9, L40_2378_9) | left_apart_point(A39_2378_9, reverse_line(L40_2378_9)))
% 293.42/42.86
% 293.42/42.86 [26668] ALPHA_NOT_OR : ~(left_apart_point(A39_2378_9, L40_2378_9) | left_apart_point(A39_2378_9, reverse_line(L40_2378_9)))
% 293.42/42.86 -> [26670] ~left_apart_point(A39_2378_9, L40_2378_9), ~left_apart_point(A39_2378_9, reverse_line(L40_2378_9))
% 293.42/42.86
% 293.42/42.86 [26670] CLOSURE : ~left_apart_point(A39_2378_9, L40_2378_9)
% 293.42/42.86
% 293.42/42.86 [26658] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [26667] ~(left_apart_point(A39_2377_9, L40_2377_9) | left_apart_point(A39_2377_9, reverse_line(L40_2377_9)))
% 293.42/42.86
% 293.42/42.86 [26667] ALPHA_NOT_OR : ~(left_apart_point(A39_2377_9, L40_2377_9) | left_apart_point(A39_2377_9, reverse_line(L40_2377_9)))
% 293.42/42.86 -> [26669] ~left_apart_point(A39_2377_9, L40_2377_9), ~left_apart_point(A39_2377_9, reverse_line(L40_2377_9))
% 293.42/42.86
% 293.42/42.86 [26669] CLOSURE : ~left_apart_point(A39_2377_9, L40_2377_9)
% 293.42/42.86
% 293.42/42.86 [26653] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [26663] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.86 -> [26664] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [26664] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [26663] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [26649] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [26652] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.86
% 293.42/42.86 [26652] 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))))
% 293.42/42.86 -> [26655] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [26656] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86
% 293.42/42.86 [26655] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [26661] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.86 -> [26662] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [26662] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [26661] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [26656] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [26659] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.86 -> [26660] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [26660] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [26665] ~(left_apart_point(A39_2376_9, L40_2376_9) | left_apart_point(A39_2376_9, reverse_line(L40_2376_9)))
% 293.42/42.86
% 293.42/42.86 [26665] ALPHA_NOT_OR : ~(left_apart_point(A39_2376_9, L40_2376_9) | left_apart_point(A39_2376_9, reverse_line(L40_2376_9)))
% 293.42/42.86 -> [26666] ~left_apart_point(A39_2376_9, L40_2376_9), ~left_apart_point(A39_2376_9, reverse_line(L40_2376_9))
% 293.42/42.86
% 293.42/42.86 [26666] CLOSURE : ~left_apart_point(A39_2376_9, L40_2376_9)
% 293.42/42.86
% 293.42/42.86 [26659] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [26676] ~(left_apart_point(A39_2379_9, L40_2379_9) | left_apart_point(A39_2379_9, reverse_line(L40_2379_9)))
% 293.42/42.86
% 293.42/42.86 [26676] ALPHA_NOT_OR : ~(left_apart_point(A39_2379_9, L40_2379_9) | left_apart_point(A39_2379_9, reverse_line(L40_2379_9)))
% 293.42/42.86 -> [26677] ~left_apart_point(A39_2379_9, L40_2379_9), ~left_apart_point(A39_2379_9, reverse_line(L40_2379_9))
% 293.42/42.86
% 293.42/42.86 [26677] CLOSURE : ~left_apart_point(A39_2379_9, L40_2379_9)
% 293.42/42.86
% 293.42/42.86 [26642] 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))))
% 293.42/42.86 -> [26646] unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.86 -> [26647] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.86
% 293.42/42.86 [26646] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.86
% 293.42/42.86 [26647] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [26671] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.86
% 293.42/42.86 [26671] 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))))
% 293.42/42.86 -> [26672] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [26673] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86
% 293.42/42.86 [26672] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [26678] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.86 -> [26679] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [26679] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [26678] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [26673] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [26674] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.86 -> [26675] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [26675] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [26680] ~(left_apart_point(A39_2380_9, L40_2380_9) | left_apart_point(A39_2380_9, reverse_line(L40_2380_9)))
% 293.42/42.86
% 293.42/42.86 [26680] ALPHA_NOT_OR : ~(left_apart_point(A39_2380_9, L40_2380_9) | left_apart_point(A39_2380_9, reverse_line(L40_2380_9)))
% 293.42/42.86 -> [26681] ~left_apart_point(A39_2380_9, L40_2380_9), ~left_apart_point(A39_2380_9, reverse_line(L40_2380_9))
% 293.42/42.86
% 293.42/42.86 [26681] CLOSURE : ~left_apart_point(A39_2380_9, L40_2380_9)
% 293.42/42.86
% 293.42/42.86 [26674] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [26682] ~(left_apart_point(A39_2381_9, L40_2381_9) | left_apart_point(A39_2381_9, reverse_line(L40_2381_9)))
% 293.42/42.86
% 293.42/42.86 [26682] ALPHA_NOT_OR : ~(left_apart_point(A39_2381_9, L40_2381_9) | left_apart_point(A39_2381_9, reverse_line(L40_2381_9)))
% 293.42/42.86 -> [26683] ~left_apart_point(A39_2381_9, L40_2381_9), ~left_apart_point(A39_2381_9, reverse_line(L40_2381_9))
% 293.42/42.86
% 293.42/42.86 [26683] CLOSURE : ~left_apart_point(A39_2381_9, L40_2381_9)
% 293.42/42.86
% 293.42/42.86 [17] Rewrite : ~before_on_line(skolem_M7878, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))
% 293.42/42.86 -> [19] ~(((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))) & ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.86
% 293.42/42.86 [19] BETA_NOT_AND : ~(before_on_line(skolem_M7878, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))) & before_on_line(skolem_M7878, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.42/42.86 -> [21] ~before_on_line(skolem_M7878, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))
% 293.42/42.86 -> [22] ~before_on_line(skolem_M7878, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 293.42/42.86
% 293.42/42.86 [22] Rewrite : ~before_on_line(skolem_M7878, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 293.42/42.86 -> [26] ~(((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 293.42/42.86
% 293.42/42.86 [26] 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)))
% 293.42/42.86 -> [33] (before_on_line(skolem_L7777, skolem_A8080, skolem_B8181) & before_on_line(skolem_L7777, skolem_B8181, skolem_C8282))
% 293.42/42.86 -> [34] (before_on_line(skolem_L7777, skolem_C8282, skolem_B8181) & before_on_line(skolem_L7777, skolem_B8181, skolem_A8080))
% 293.42/42.86
% 293.42/42.86 [34] ALPHA_AND : (before_on_line(skolem_L7777, skolem_C8282, skolem_B8181) & before_on_line(skolem_L7777, skolem_B8181, skolem_A8080))
% 293.42/42.86 -> [42] before_on_line(skolem_L7777, skolem_C8282, skolem_B8181), before_on_line(skolem_L7777, skolem_B8181, skolem_A8080)
% 293.42/42.86
% 293.42/42.86 [42] Rewrite : before_on_line(skolem_L7777, skolem_C8282, skolem_B8181)
% 293.42/42.86 -> [51] (((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)))
% 293.42/42.86
% 293.42/42.86 [51] Rewrite : before_on_line(skolem_L7777, skolem_B8181, skolem_A8080)
% 293.42/42.86 -> [55] (((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)))
% 293.42/42.86
% 293.42/42.86 [55] 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)))
% 293.42/42.86 -> [64] ((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))
% 293.42/42.86
% 293.42/42.86 [64] 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)))
% 293.42/42.86 -> [76] ((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))
% 293.42/42.86
% 293.42/42.86 [76] 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))))
% 293.42/42.86 -> [95] (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)))
% 293.42/42.86
% 293.42/42.86 [95] 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))))
% 293.42/42.86 -> [98] (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)))
% 293.42/42.86
% 293.42/42.86 [98] ALPHA_AND : (distinct_points(skolem_C8282, skolem_B8181) & ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777))))
% 293.42/42.86 -> [101] distinct_points(skolem_C8282, skolem_B8181), ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))
% 293.42/42.86
% 293.42/42.86 [101] ALPHA_NOT_OR : ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))
% 293.42/42.86 -> [107] ~left_apart_point(skolem_B8181, skolem_L7777), ~left_apart_point(skolem_B8181, reverse_line(skolem_L7777))
% 293.42/42.86
% 293.42/42.86 [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))))
% 293.42/42.86 -> [113] distinct_points(skolem_B8181, skolem_A8080), ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))
% 293.42/42.86
% 293.42/42.86 [113] ALPHA_NOT_OR : ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))
% 293.42/42.86 -> [123] ~left_apart_point(skolem_A8080, skolem_L7777), ~left_apart_point(skolem_A8080, reverse_line(skolem_L7777))
% 293.42/42.86
% 293.42/42.86 [123] ALPHA_NOT_OR : ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))
% 293.42/42.86 -> [132] ~left_apart_point(skolem_C8282, skolem_L7777), ~left_apart_point(skolem_C8282, reverse_line(skolem_L7777))
% 293.42/42.86
% 293.42/42.86 [132] ALPHA_NOT_OR : ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))
% 293.42/42.86 -> [144] ~left_apart_point(skolem_B8181, skolem_L7777), ~left_apart_point(skolem_B8181, reverse_line(skolem_L7777))
% 293.42/42.86
% 293.42/42.86 [144] BETA_NOT_AND : ~(((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))) & ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.86 -> [208] ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.42/42.86 -> [209] ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.86
% 293.42/42.86 [209] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.86 -> [222] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.86
% 293.42/42.86 [222] BETA_NOT_AND : ~(((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 293.42/42.86 -> [244] ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.86 -> [245] ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.42/42.86
% 293.42/42.86 [245] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.42/42.86 -> [275] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.42/42.86
% 293.42/42.86 [275] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.86 -> [324] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.86
% 293.42/42.86 [324] 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))))
% 293.42/42.86 -> [356] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.86
% 293.42/42.86 [356] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.86 -> [362] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.86 -> [363] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.86
% 293.42/42.86 [362] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.86
% 293.42/42.86 [363] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.86 -> [1062] distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.86 -> [1063] distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.86
% 293.42/42.86 [1063] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.86
% 293.42/42.86 [1062] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.86 -> [2954] ~distinct_lines(N27_38_3, N27_38_3)
% 293.42/42.86
% 293.42/42.86 [2954] 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))))
% 293.42/42.86 -> [3064] (distinct_lines(N27_38_3, N27_38_3) => (distinct_lines(N27_38_3, N27_38_3) | distinct_lines(N27_38_3, N27_38_3)))
% 293.42/42.86
% 293.42/42.86 [3064] BETA_IMPLY : (distinct_lines(N27_38_3, N27_38_3) => (distinct_lines(N27_38_3, N27_38_3) | distinct_lines(N27_38_3, N27_38_3)))
% 293.42/42.86 -> [3065] ~distinct_lines(N27_38_3, N27_38_3)
% 293.42/42.86 -> [3066] (distinct_lines(N27_38_3, N27_38_3) | distinct_lines(N27_38_3, N27_38_3))
% 293.42/42.86
% 293.42/42.86 [3066] BETA_OR : (distinct_lines(N27_38_3, N27_38_3) | distinct_lines(N27_38_3, N27_38_3))
% 293.42/42.86 -> [3070] distinct_lines(N27_38_3, N27_38_3)
% 293.42/42.86 -> [3071] distinct_lines(N27_38_3, N27_38_3)
% 293.42/42.86
% 293.42/42.86 [3070] CLOSURE : distinct_lines(N27_38_3, N27_38_3)
% 293.42/42.86
% 293.42/42.86 [3071] CLOSURE : distinct_lines(N27_38_3, N27_38_3)
% 293.42/42.86
% 293.42/42.86 [3065] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.86 -> [3087] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [3087] 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))))
% 293.42/42.86 -> [3112] (unequally_directed_lines(skolem_L7777, skolem_M7878) => (unequally_directed_lines(skolem_L7777, skolem_M7878) | unequally_directed_lines(skolem_M7878, skolem_M7878)))
% 293.42/42.86
% 293.42/42.86 [3112] BETA_IMPLY : (unequally_directed_lines(skolem_L7777, skolem_M7878) => (unequally_directed_lines(skolem_L7777, skolem_M7878) | unequally_directed_lines(skolem_M7878, skolem_M7878)))
% 293.42/42.86 -> [3115] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.86 -> [3116] (unequally_directed_lines(skolem_L7777, skolem_M7878) | unequally_directed_lines(skolem_M7878, skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [3115] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [3116] BETA_OR : (unequally_directed_lines(skolem_L7777, skolem_M7878) | unequally_directed_lines(skolem_M7878, skolem_M7878))
% 293.42/42.86 -> [4966] unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.86 -> [4967] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [4967] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [4966] 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))))))
% 293.42/42.86 -> [6028] ((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)))))
% 293.42/42.86
% 293.42/42.86 [6028] 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)))))
% 293.42/42.86 -> [6029] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [6030] ((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))))
% 293.42/42.86
% 293.42/42.86 [6029] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.86 -> [6049] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86 -> [6050] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [6050] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.86
% 293.42/42.86 [6049] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.86
% 293.42/42.86 [6030] 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))))
% 293.42/42.86 -> [7809] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [7810] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.86
% 293.42/42.86 [7809] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [7835] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [7835] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [7810] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [7812] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [7812] 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)))))
% 293.42/42.86 -> [7925] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.86
% 293.42/42.86 [7925] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.86 -> [7927] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.86 -> [7928] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.86
% 293.42/42.86 [7928] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.86 -> [7936] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86 -> [7937] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [7936] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [7937] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [7986] ((unequally_directed_lines(skolem_N7979, M38_77_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_77_8))) => (left_convergent_lines(skolem_N7979, M38_77_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_77_8))))
% 293.42/42.86
% 293.42/42.86 [7986] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_77_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_77_8))) => (left_convergent_lines(skolem_N7979, M38_77_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_77_8))))
% 293.42/42.86 -> [7989] ~(unequally_directed_lines(skolem_N7979, M38_77_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_77_8)))
% 293.42/42.86 -> [7990] (left_convergent_lines(skolem_N7979, M38_77_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_77_8)))
% 293.42/42.86
% 293.42/42.86 [7989] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_77_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_77_8)))
% 293.42/42.86 -> [8008] ~unequally_directed_lines(skolem_N7979, M38_77_8)
% 293.42/42.86 -> [8009] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_77_8))
% 293.42/42.86
% 293.42/42.86 [8009] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_77_8))
% 293.42/42.86
% 293.42/42.86 [8008] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_77_8)
% 293.42/42.86
% 293.42/42.86 [7990] BETA_OR : (left_convergent_lines(skolem_N7979, M38_77_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_77_8)))
% 293.42/42.86 -> [7991] left_convergent_lines(skolem_N7979, M38_77_8)
% 293.42/42.86 -> [7992] left_convergent_lines(skolem_N7979, reverse_line(M38_77_8))
% 293.42/42.86
% 293.42/42.86 [7992] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [8076] ~(left_apart_point(A39_144_9, L40_144_9) | left_apart_point(A39_144_9, reverse_line(L40_144_9)))
% 293.42/42.86
% 293.42/42.86 [8076] ALPHA_NOT_OR : ~(left_apart_point(A39_144_9, L40_144_9) | left_apart_point(A39_144_9, reverse_line(L40_144_9)))
% 293.42/42.86 -> [8078] ~left_apart_point(A39_144_9, L40_144_9), ~left_apart_point(A39_144_9, reverse_line(L40_144_9))
% 293.42/42.86
% 293.42/42.86 [8078] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.86 -> [8197] ~(left_convergent_lines(L41_48_10, M42_48_10) | left_convergent_lines(L41_48_10, reverse_line(M42_48_10)))
% 293.42/42.86
% 293.42/42.86 [8197] ALPHA_NOT_OR : ~(left_convergent_lines(L41_48_10, M42_48_10) | left_convergent_lines(L41_48_10, reverse_line(M42_48_10)))
% 293.42/42.86 -> [8198] ~left_convergent_lines(L41_48_10, M42_48_10), ~left_convergent_lines(L41_48_10, reverse_line(M42_48_10))
% 293.42/42.86
% 293.42/42.86 [8198] CLOSURE : ~left_convergent_lines(L41_48_10, M42_48_10)
% 293.42/42.86
% 293.42/42.86 [7991] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [8107] ~(left_apart_point(A39_148_9, L40_148_9) | left_apart_point(A39_148_9, reverse_line(L40_148_9)))
% 293.42/42.86
% 293.42/42.86 [8107] ALPHA_NOT_OR : ~(left_apart_point(A39_148_9, L40_148_9) | left_apart_point(A39_148_9, reverse_line(L40_148_9)))
% 293.42/42.86 -> [8109] ~left_apart_point(A39_148_9, L40_148_9), ~left_apart_point(A39_148_9, reverse_line(L40_148_9))
% 293.42/42.86
% 293.42/42.86 [8109] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.86 -> [8317] ~(left_convergent_lines(L41_52_10, M42_52_10) | left_convergent_lines(L41_52_10, reverse_line(M42_52_10)))
% 293.42/42.86
% 293.42/42.86 [8317] ALPHA_NOT_OR : ~(left_convergent_lines(L41_52_10, M42_52_10) | left_convergent_lines(L41_52_10, reverse_line(M42_52_10)))
% 293.42/42.86 -> [8318] ~left_convergent_lines(L41_52_10, M42_52_10), ~left_convergent_lines(L41_52_10, reverse_line(M42_52_10))
% 293.42/42.86
% 293.42/42.86 [8318] CLOSURE : ~left_convergent_lines(L41_52_10, M42_52_10)
% 293.42/42.86
% 293.42/42.86 [7927] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.86 -> [7949] ~line(skolem_M7878)
% 293.42/42.86 -> [7950] ~line(skolem_M7878)
% 293.42/42.86
% 293.42/42.86 [7950] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [7975] ((unequally_directed_lines(skolem_N7979, M38_76_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_76_8))) => (left_convergent_lines(skolem_N7979, M38_76_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_76_8))))
% 293.42/42.86
% 293.42/42.86 [7975] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_76_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_76_8))) => (left_convergent_lines(skolem_N7979, M38_76_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_76_8))))
% 293.42/42.86 -> [7976] ~(unequally_directed_lines(skolem_N7979, M38_76_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_76_8)))
% 293.42/42.86 -> [7977] (left_convergent_lines(skolem_N7979, M38_76_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_76_8)))
% 293.42/42.86
% 293.42/42.86 [7976] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_76_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_76_8)))
% 293.42/42.86 -> [8004] ~unequally_directed_lines(skolem_N7979, M38_76_8)
% 293.42/42.86 -> [8005] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_76_8))
% 293.42/42.86
% 293.42/42.86 [8005] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_76_8))
% 293.42/42.86
% 293.42/42.86 [8004] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_76_8)
% 293.42/42.86
% 293.42/42.86 [7977] BETA_OR : (left_convergent_lines(skolem_N7979, M38_76_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_76_8)))
% 293.42/42.86 -> [7980] left_convergent_lines(skolem_N7979, M38_76_8)
% 293.42/42.86 -> [7981] left_convergent_lines(skolem_N7979, reverse_line(M38_76_8))
% 293.42/42.86
% 293.42/42.86 [7981] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [8105] ~(left_apart_point(A39_147_9, L40_147_9) | left_apart_point(A39_147_9, reverse_line(L40_147_9)))
% 293.42/42.86
% 293.42/42.86 [8105] ALPHA_NOT_OR : ~(left_apart_point(A39_147_9, L40_147_9) | left_apart_point(A39_147_9, reverse_line(L40_147_9)))
% 293.42/42.86 -> [8106] ~left_apart_point(A39_147_9, L40_147_9), ~left_apart_point(A39_147_9, reverse_line(L40_147_9))
% 293.42/42.86
% 293.42/42.86 [8106] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.86 -> [8302] ~(left_convergent_lines(L41_51_10, M42_51_10) | left_convergent_lines(L41_51_10, reverse_line(M42_51_10)))
% 293.42/42.86
% 293.42/42.86 [8302] ALPHA_NOT_OR : ~(left_convergent_lines(L41_51_10, M42_51_10) | left_convergent_lines(L41_51_10, reverse_line(M42_51_10)))
% 293.42/42.86 -> [8305] ~left_convergent_lines(L41_51_10, M42_51_10), ~left_convergent_lines(L41_51_10, reverse_line(M42_51_10))
% 293.42/42.86
% 293.42/42.86 [8305] CLOSURE : ~left_convergent_lines(L41_51_10, M42_51_10)
% 293.42/42.86
% 293.42/42.86 [7980] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [8103] ~(left_apart_point(A39_146_9, L40_146_9) | left_apart_point(A39_146_9, reverse_line(L40_146_9)))
% 293.42/42.86
% 293.42/42.86 [8103] ALPHA_NOT_OR : ~(left_apart_point(A39_146_9, L40_146_9) | left_apart_point(A39_146_9, reverse_line(L40_146_9)))
% 293.42/42.86 -> [8104] ~left_apart_point(A39_146_9, L40_146_9), ~left_apart_point(A39_146_9, reverse_line(L40_146_9))
% 293.42/42.86
% 293.42/42.86 [8104] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.86 -> [8368] ~(left_convergent_lines(L41_55_10, M42_55_10) | left_convergent_lines(L41_55_10, reverse_line(M42_55_10)))
% 293.42/42.86
% 293.42/42.86 [8368] ALPHA_NOT_OR : ~(left_convergent_lines(L41_55_10, M42_55_10) | left_convergent_lines(L41_55_10, reverse_line(M42_55_10)))
% 293.42/42.86 -> [8369] ~left_convergent_lines(L41_55_10, M42_55_10), ~left_convergent_lines(L41_55_10, reverse_line(M42_55_10))
% 293.42/42.86
% 293.42/42.86 [8369] CLOSURE : ~left_convergent_lines(L41_55_10, M42_55_10)
% 293.42/42.86
% 293.42/42.86 [7949] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.86 -> [7994] ((unequally_directed_lines(skolem_N7979, M38_78_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_78_8))) => (left_convergent_lines(skolem_N7979, M38_78_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_78_8))))
% 293.42/42.86
% 293.42/42.86 [7994] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_78_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_78_8))) => (left_convergent_lines(skolem_N7979, M38_78_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_78_8))))
% 293.42/42.86 -> [7996] ~(unequally_directed_lines(skolem_N7979, M38_78_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_78_8)))
% 293.42/42.86 -> [7997] (left_convergent_lines(skolem_N7979, M38_78_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_78_8)))
% 293.42/42.86
% 293.42/42.86 [7996] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_78_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_78_8)))
% 293.42/42.86 -> [8015] ~unequally_directed_lines(skolem_N7979, M38_78_8)
% 293.42/42.86 -> [8016] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_78_8))
% 293.42/42.86
% 293.42/42.86 [8016] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_78_8))
% 293.42/42.86
% 293.42/42.86 [8015] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_78_8)
% 293.42/42.86
% 293.42/42.86 [7997] BETA_OR : (left_convergent_lines(skolem_N7979, M38_78_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_78_8)))
% 293.42/42.86 -> [7999] left_convergent_lines(skolem_N7979, M38_78_8)
% 293.42/42.86 -> [8000] left_convergent_lines(skolem_N7979, reverse_line(M38_78_8))
% 293.42/42.86
% 293.42/42.86 [7999] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [8124] ~(left_apart_point(A39_149_9, L40_149_9) | left_apart_point(A39_149_9, reverse_line(L40_149_9)))
% 293.42/42.86
% 293.42/42.86 [8124] ALPHA_NOT_OR : ~(left_apart_point(A39_149_9, L40_149_9) | left_apart_point(A39_149_9, reverse_line(L40_149_9)))
% 293.42/42.86 -> [8126] ~left_apart_point(A39_149_9, L40_149_9), ~left_apart_point(A39_149_9, reverse_line(L40_149_9))
% 293.42/42.86
% 293.42/42.86 [8126] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.86 -> [8360] ~(left_convergent_lines(L41_54_10, M42_54_10) | left_convergent_lines(L41_54_10, reverse_line(M42_54_10)))
% 293.42/42.86
% 293.42/42.86 [8360] ALPHA_NOT_OR : ~(left_convergent_lines(L41_54_10, M42_54_10) | left_convergent_lines(L41_54_10, reverse_line(M42_54_10)))
% 293.42/42.86 -> [8363] ~left_convergent_lines(L41_54_10, M42_54_10), ~left_convergent_lines(L41_54_10, reverse_line(M42_54_10))
% 293.42/42.86
% 293.42/42.86 [8363] CLOSURE : ~left_convergent_lines(L41_54_10, M42_54_10)
% 293.42/42.86
% 293.42/42.86 [8000] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.86 -> [8143] ~(left_apart_point(A39_151_9, L40_151_9) | left_apart_point(A39_151_9, reverse_line(L40_151_9)))
% 293.42/42.86
% 293.42/42.86 [8143] ALPHA_NOT_OR : ~(left_apart_point(A39_151_9, L40_151_9) | left_apart_point(A39_151_9, reverse_line(L40_151_9)))
% 293.42/42.86 -> [8144] ~left_apart_point(A39_151_9, L40_151_9), ~left_apart_point(A39_151_9, reverse_line(L40_151_9))
% 293.42/42.86
% 293.42/42.86 [8144] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.86 -> [8425] ~(left_convergent_lines(L41_57_10, M42_57_10) | left_convergent_lines(L41_57_10, reverse_line(M42_57_10)))
% 293.42/42.86
% 293.42/42.86 [8425] ALPHA_NOT_OR : ~(left_convergent_lines(L41_57_10, M42_57_10) | left_convergent_lines(L41_57_10, reverse_line(M42_57_10)))
% 293.42/42.86 -> [8426] ~left_convergent_lines(L41_57_10, M42_57_10), ~left_convergent_lines(L41_57_10, reverse_line(M42_57_10))
% 293.42/42.86
% 293.42/42.86 [8426] CLOSURE : ~left_convergent_lines(L41_57_10, M42_57_10)
% 293.42/42.86
% 293.42/42.86 [244] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.86 -> [290] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.42/42.86 -> [291] ~~(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)))
% 293.42/42.86
% 293.42/42.86 [291] 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)))
% 293.42/42.86 -> [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)))
% 293.42/42.86
% 293.42/42.86 [313] 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)))
% 293.42/42.86 -> [316] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 293.42/42.86 -> [317] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 293.42/42.86
% 293.42/42.86 [316] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.86 -> [943] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.86
% 293.42/42.86 [943] 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))))
% 293.42/42.86 -> [1011] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.86
% 293.42/42.86 [1011] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.86 -> [1014] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.86 -> [1015] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.86
% 293.42/42.86 [1014] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.86
% 293.42/42.86 [1015] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.86 -> [3761] distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.86 -> [3762] distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.86
% 293.42/42.86 [3762] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.86
% 293.42/42.86 [3761] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.86 -> [5182] ~distinct_lines(N27_145_3, N27_145_3)
% 293.42/42.86
% 293.42/42.86 [5182] 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))))
% 293.42/42.86 -> [5323] (distinct_lines(N27_145_3, N27_145_3) => (distinct_lines(N27_145_3, N27_145_3) | distinct_lines(N27_145_3, N27_145_3)))
% 293.42/42.86
% 293.42/42.86 [5323] BETA_IMPLY : (distinct_lines(N27_145_3, N27_145_3) => (distinct_lines(N27_145_3, N27_145_3) | distinct_lines(N27_145_3, N27_145_3)))
% 293.42/42.87 -> [5324] ~distinct_lines(N27_145_3, N27_145_3)
% 293.42/42.87 -> [5325] (distinct_lines(N27_145_3, N27_145_3) | distinct_lines(N27_145_3, N27_145_3))
% 293.42/42.87
% 293.42/42.87 [5325] BETA_OR : (distinct_lines(N27_145_3, N27_145_3) | distinct_lines(N27_145_3, N27_145_3))
% 293.42/42.87 -> [5328] distinct_lines(N27_145_3, N27_145_3)
% 293.42/42.87 -> [5329] distinct_lines(N27_145_3, N27_145_3)
% 293.42/42.87
% 293.42/42.87 [5328] CLOSURE : distinct_lines(N27_145_3, N27_145_3)
% 293.42/42.87
% 293.42/42.87 [5329] CLOSURE : distinct_lines(N27_145_3, N27_145_3)
% 293.42/42.87
% 293.42/42.87 [5324] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.87 -> [5553] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [5553] 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))))
% 293.42/42.87 -> [5888] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878)))
% 293.42/42.87
% 293.42/42.87 [5888] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878)))
% 293.42/42.87 -> [5891] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.87 -> [5892] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [5891] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.87
% 293.42/42.87 [5892] 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)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878))
% 293.42/42.87 -> [8791] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.87 -> [8792] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [8791] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [8792] 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))))))
% 293.42/42.87 -> [12212] ((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)))))
% 293.42/42.87
% 293.42/42.87 [12212] 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)))))
% 293.42/42.87 -> [12214] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.87 -> [12215] ((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))))
% 293.42/42.87
% 293.42/42.87 [12214] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.87 -> [12233] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.87 -> [12234] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [12234] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [12233] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.87
% 293.42/42.87 [12215] 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))))
% 293.42/42.87 -> [15870] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [15871] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.87
% 293.42/42.87 [15870] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [15881] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [15881] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [15871] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [15876] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [15876] 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)))))
% 293.42/42.87 -> [15966] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.87
% 293.42/42.87 [15966] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.87 -> [15970] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.87 -> [15971] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.87
% 293.42/42.87 [15971] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [17071] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.87 -> [17072] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [17071] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [17072] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [17596] ((unequally_directed_lines(skolem_N7979, M38_593_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_593_8))) => (left_convergent_lines(skolem_N7979, M38_593_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_593_8))))
% 293.42/42.87
% 293.42/42.87 [17596] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_593_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_593_8))) => (left_convergent_lines(skolem_N7979, M38_593_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_593_8))))
% 293.42/42.87 -> [17600] ~(unequally_directed_lines(skolem_N7979, M38_593_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_593_8)))
% 293.42/42.87 -> [17601] (left_convergent_lines(skolem_N7979, M38_593_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_593_8)))
% 293.42/42.87
% 293.42/42.87 [17601] BETA_OR : (left_convergent_lines(skolem_N7979, M38_593_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_593_8)))
% 293.42/42.87 -> [17610] left_convergent_lines(skolem_N7979, M38_593_8)
% 293.42/42.87 -> [17611] left_convergent_lines(skolem_N7979, reverse_line(M38_593_8))
% 293.42/42.87
% 293.42/42.87 [17611] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [17666] ~(left_apart_point(A39_1136_9, L40_1136_9) | left_apart_point(A39_1136_9, reverse_line(L40_1136_9)))
% 293.42/42.87
% 293.42/42.87 [17666] ALPHA_NOT_OR : ~(left_apart_point(A39_1136_9, L40_1136_9) | left_apart_point(A39_1136_9, reverse_line(L40_1136_9)))
% 293.42/42.87 -> [17669] ~left_apart_point(A39_1136_9, L40_1136_9), ~left_apart_point(A39_1136_9, reverse_line(L40_1136_9))
% 293.42/42.87
% 293.42/42.87 [17669] CLOSURE : ~left_apart_point(A39_1136_9, L40_1136_9)
% 293.42/42.87
% 293.42/42.87 [17610] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [17682] ~(left_apart_point(A39_1138_9, L40_1138_9) | left_apart_point(A39_1138_9, reverse_line(L40_1138_9)))
% 293.42/42.87
% 293.42/42.87 [17682] ALPHA_NOT_OR : ~(left_apart_point(A39_1138_9, L40_1138_9) | left_apart_point(A39_1138_9, reverse_line(L40_1138_9)))
% 293.42/42.87 -> [17686] ~left_apart_point(A39_1138_9, L40_1138_9), ~left_apart_point(A39_1138_9, reverse_line(L40_1138_9))
% 293.42/42.87
% 293.42/42.87 [17686] CLOSURE : ~left_apart_point(A39_1138_9, L40_1138_9)
% 293.42/42.87
% 293.42/42.87 [17600] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_593_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_593_8)))
% 293.42/42.87 -> [17626] ~unequally_directed_lines(skolem_N7979, M38_593_8)
% 293.42/42.87 -> [17627] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_593_8))
% 293.42/42.87
% 293.42/42.87 [17627] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_593_8))
% 293.42/42.87
% 293.42/42.87 [17626] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_593_8)
% 293.42/42.87
% 293.42/42.87 [15970] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.87 -> [17316] ~line(skolem_M7878)
% 293.42/42.87 -> [17317] ~line(skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [17317] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [17753] ((unequally_directed_lines(skolem_N7979, M38_601_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_601_8))) => (left_convergent_lines(skolem_N7979, M38_601_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_601_8))))
% 293.42/42.87
% 293.42/42.87 [17753] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_601_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_601_8))) => (left_convergent_lines(skolem_N7979, M38_601_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_601_8))))
% 293.42/42.87 -> [17755] ~(unequally_directed_lines(skolem_N7979, M38_601_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_601_8)))
% 293.42/42.87 -> [17756] (left_convergent_lines(skolem_N7979, M38_601_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_601_8)))
% 293.42/42.87
% 293.42/42.87 [17756] BETA_OR : (left_convergent_lines(skolem_N7979, M38_601_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_601_8)))
% 293.42/42.87 -> [17757] left_convergent_lines(skolem_N7979, M38_601_8)
% 293.42/42.87 -> [17758] left_convergent_lines(skolem_N7979, reverse_line(M38_601_8))
% 293.42/42.87
% 293.42/42.87 [17757] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [18190] ~(left_apart_point(A39_1183_9, L40_1183_9) | left_apart_point(A39_1183_9, reverse_line(L40_1183_9)))
% 293.42/42.87
% 293.42/42.87 [18190] ALPHA_NOT_OR : ~(left_apart_point(A39_1183_9, L40_1183_9) | left_apart_point(A39_1183_9, reverse_line(L40_1183_9)))
% 293.42/42.87 -> [18191] ~left_apart_point(A39_1183_9, L40_1183_9), ~left_apart_point(A39_1183_9, reverse_line(L40_1183_9))
% 293.42/42.87
% 293.42/42.87 [18191] CLOSURE : ~left_apart_point(A39_1183_9, L40_1183_9)
% 293.42/42.87
% 293.42/42.87 [17758] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [18200] ~(left_apart_point(A39_1186_9, L40_1186_9) | left_apart_point(A39_1186_9, reverse_line(L40_1186_9)))
% 293.42/42.87
% 293.42/42.87 [18200] ALPHA_NOT_OR : ~(left_apart_point(A39_1186_9, L40_1186_9) | left_apart_point(A39_1186_9, reverse_line(L40_1186_9)))
% 293.42/42.87 -> [18205] ~left_apart_point(A39_1186_9, L40_1186_9), ~left_apart_point(A39_1186_9, reverse_line(L40_1186_9))
% 293.42/42.87
% 293.42/42.87 [18205] CLOSURE : ~left_apart_point(A39_1186_9, L40_1186_9)
% 293.42/42.87
% 293.42/42.87 [17755] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_601_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_601_8)))
% 293.42/42.87 -> [17858] ~unequally_directed_lines(skolem_N7979, M38_601_8)
% 293.42/42.87 -> [17859] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_601_8))
% 293.42/42.87
% 293.42/42.87 [17859] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_601_8))
% 293.42/42.87
% 293.42/42.87 [17858] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_601_8)
% 293.42/42.87
% 293.42/42.87 [17316] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [17843] ((unequally_directed_lines(skolem_N7979, M38_607_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_607_8))) => (left_convergent_lines(skolem_N7979, M38_607_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_607_8))))
% 293.42/42.87
% 293.42/42.87 [17843] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_607_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_607_8))) => (left_convergent_lines(skolem_N7979, M38_607_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_607_8))))
% 293.42/42.87 -> [17844] ~(unequally_directed_lines(skolem_N7979, M38_607_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_607_8)))
% 293.42/42.87 -> [17845] (left_convergent_lines(skolem_N7979, M38_607_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_607_8)))
% 293.42/42.87
% 293.42/42.87 [17845] BETA_OR : (left_convergent_lines(skolem_N7979, M38_607_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_607_8)))
% 293.42/42.87 -> [17850] left_convergent_lines(skolem_N7979, M38_607_8)
% 293.42/42.87 -> [17851] left_convergent_lines(skolem_N7979, reverse_line(M38_607_8))
% 293.42/42.87
% 293.42/42.87 [17851] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [18180] ~(left_apart_point(A39_1181_9, L40_1181_9) | left_apart_point(A39_1181_9, reverse_line(L40_1181_9)))
% 293.42/42.87
% 293.42/42.87 [18180] ALPHA_NOT_OR : ~(left_apart_point(A39_1181_9, L40_1181_9) | left_apart_point(A39_1181_9, reverse_line(L40_1181_9)))
% 293.42/42.87 -> [18181] ~left_apart_point(A39_1181_9, L40_1181_9), ~left_apart_point(A39_1181_9, reverse_line(L40_1181_9))
% 293.42/42.87
% 293.42/42.87 [18181] CLOSURE : ~left_apart_point(A39_1181_9, L40_1181_9)
% 293.42/42.87
% 293.42/42.87 [17850] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [18235] ~(left_apart_point(A39_1194_9, L40_1194_9) | left_apart_point(A39_1194_9, reverse_line(L40_1194_9)))
% 293.42/42.87
% 293.42/42.87 [18235] ALPHA_NOT_OR : ~(left_apart_point(A39_1194_9, L40_1194_9) | left_apart_point(A39_1194_9, reverse_line(L40_1194_9)))
% 293.42/42.87 -> [18237] ~left_apart_point(A39_1194_9, L40_1194_9), ~left_apart_point(A39_1194_9, reverse_line(L40_1194_9))
% 293.42/42.87
% 293.42/42.87 [18237] CLOSURE : ~left_apart_point(A39_1194_9, L40_1194_9)
% 293.42/42.87
% 293.42/42.87 [17844] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_607_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_607_8)))
% 293.42/42.87 -> [17955] ~unequally_directed_lines(skolem_N7979, M38_607_8)
% 293.42/42.87 -> [17956] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_607_8))
% 293.42/42.87
% 293.42/42.87 [17956] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_607_8))
% 293.42/42.87
% 293.42/42.87 [17955] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_607_8)
% 293.42/42.87
% 293.42/42.87 [317] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.87 -> [1166] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.87
% 293.42/42.87 [1166] 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))))
% 293.42/42.87 -> [2449] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.87
% 293.42/42.87 [2449] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.87 -> [2450] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.87 -> [2451] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.87
% 293.42/42.87 [2450] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.87
% 293.42/42.87 [2451] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.87 -> [2606] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.87 -> [2607] distinct_points(skolem_A8080, skolem_B8181)
% 293.42/42.87
% 293.42/42.87 [2606] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.87
% 293.42/42.87 [2607] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.87 -> [2660] ~distinct_lines(N27_29_3, N27_29_3)
% 293.42/42.87
% 293.42/42.87 [2660] 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))))
% 293.42/42.87 -> [2686] (distinct_lines(N27_29_3, N27_29_3) => (distinct_lines(N27_29_3, N27_29_3) | distinct_lines(N27_29_3, N27_29_3)))
% 293.42/42.87
% 293.42/42.87 [2686] BETA_IMPLY : (distinct_lines(N27_29_3, N27_29_3) => (distinct_lines(N27_29_3, N27_29_3) | distinct_lines(N27_29_3, N27_29_3)))
% 293.42/42.87 -> [2687] ~distinct_lines(N27_29_3, N27_29_3)
% 293.42/42.87 -> [2688] (distinct_lines(N27_29_3, N27_29_3) | distinct_lines(N27_29_3, N27_29_3))
% 293.42/42.87
% 293.42/42.87 [2688] BETA_OR : (distinct_lines(N27_29_3, N27_29_3) | distinct_lines(N27_29_3, N27_29_3))
% 293.42/42.87 -> [2698] distinct_lines(N27_29_3, N27_29_3)
% 293.42/42.87 -> [2699] distinct_lines(N27_29_3, N27_29_3)
% 293.42/42.87
% 293.42/42.87 [2698] CLOSURE : distinct_lines(N27_29_3, N27_29_3)
% 293.42/42.87
% 293.42/42.87 [2699] CLOSURE : distinct_lines(N27_29_3, N27_29_3)
% 293.42/42.87
% 293.42/42.87 [2687] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.87 -> [2723] ~unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.87
% 293.42/42.87 [2723] 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))))
% 293.42/42.87 -> [4020] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.87
% 293.42/42.87 [4020] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.87 -> [4021] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.87 -> [4022] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.87
% 293.42/42.87 [4021] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.87
% 293.42/42.87 [4022] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.87 -> [4721] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.87 -> [4722] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.87
% 293.42/42.87 [4722] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.87
% 293.42/42.87 [4721] 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))))))
% 293.42/42.87 -> [5141] ((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)))))
% 293.42/42.87
% 293.42/42.87 [5141] 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)))))
% 293.42/42.87 -> [5142] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.87 -> [5143] ((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))))
% 293.42/42.87
% 293.42/42.87 [5142] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.87 -> [5159] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.87 -> [5160] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [5160] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [5159] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.87
% 293.42/42.87 [5143] 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))))
% 293.42/42.87 -> [9260] (unequally_directed_lines(skolem_M7878, N34_26_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_26_6)))
% 293.42/42.87 -> [9261] (unequally_directed_lines(skolem_N7979, N34_26_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_26_6)))
% 293.42/42.87
% 293.42/42.87 [9261] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_26_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_26_6)))
% 293.42/42.87 -> [9266] unequally_directed_lines(skolem_N7979, N34_26_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_26_6))
% 293.42/42.87
% 293.42/42.87 [9266] 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)))))
% 293.42/42.87 -> [9423] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.87
% 293.42/42.87 [9423] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.87 -> [9425] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.87 -> [9426] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.87
% 293.42/42.87 [9425] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.87 -> [9465] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.87 -> [9466] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.87
% 293.42/42.87 [9465] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [9757] ((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))))
% 293.42/42.87
% 293.42/42.87 [9757] 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))))
% 293.42/42.87 -> [9758] ~(unequally_directed_lines(skolem_N7979, M38_146_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_146_8)))
% 293.42/42.87 -> [9759] (left_convergent_lines(skolem_N7979, M38_146_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_146_8)))
% 293.42/42.87
% 293.42/42.87 [9759] BETA_OR : (left_convergent_lines(skolem_N7979, M38_146_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_146_8)))
% 293.42/42.87 -> [9760] left_convergent_lines(skolem_N7979, M38_146_8)
% 293.42/42.87 -> [9761] left_convergent_lines(skolem_N7979, reverse_line(M38_146_8))
% 293.42/42.87
% 293.42/42.87 [9761] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [9979] ~(left_apart_point(A39_282_9, L40_282_9) | left_apart_point(A39_282_9, reverse_line(L40_282_9)))
% 293.42/42.87
% 293.42/42.87 [9979] ALPHA_NOT_OR : ~(left_apart_point(A39_282_9, L40_282_9) | left_apart_point(A39_282_9, reverse_line(L40_282_9)))
% 293.42/42.87 -> [9981] ~left_apart_point(A39_282_9, L40_282_9), ~left_apart_point(A39_282_9, reverse_line(L40_282_9))
% 293.42/42.87
% 293.42/42.87 [9981] CLOSURE : ~left_apart_point(A39_282_9, L40_282_9)
% 293.42/42.87
% 293.42/42.87 [9760] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [10034] ~(left_apart_point(A39_289_9, L40_289_9) | left_apart_point(A39_289_9, reverse_line(L40_289_9)))
% 293.42/42.87
% 293.42/42.87 [10034] ALPHA_NOT_OR : ~(left_apart_point(A39_289_9, L40_289_9) | left_apart_point(A39_289_9, reverse_line(L40_289_9)))
% 293.42/42.87 -> [10037] ~left_apart_point(A39_289_9, L40_289_9), ~left_apart_point(A39_289_9, reverse_line(L40_289_9))
% 293.42/42.87
% 293.42/42.87 [10037] CLOSURE : ~left_apart_point(A39_289_9, L40_289_9)
% 293.42/42.87
% 293.42/42.87 [9758] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_146_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_146_8)))
% 293.42/42.87 -> [9826] ~unequally_directed_lines(skolem_N7979, M38_146_8)
% 293.42/42.87 -> [9827] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_146_8))
% 293.42/42.87
% 293.42/42.87 [9827] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_146_8))
% 293.42/42.87
% 293.42/42.87 [9826] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_146_8)
% 293.42/42.87
% 293.42/42.87 [9466] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [9762] ((unequally_directed_lines(skolem_N7979, M38_147_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_147_8))) => (left_convergent_lines(skolem_N7979, M38_147_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_147_8))))
% 293.42/42.87
% 293.42/42.87 [9762] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_147_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_147_8))) => (left_convergent_lines(skolem_N7979, M38_147_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_147_8))))
% 293.42/42.87 -> [9763] ~(unequally_directed_lines(skolem_N7979, M38_147_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_147_8)))
% 293.42/42.87 -> [9764] (left_convergent_lines(skolem_N7979, M38_147_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_147_8)))
% 293.42/42.87
% 293.42/42.87 [9763] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_147_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_147_8)))
% 293.42/42.87 -> [9831] ~unequally_directed_lines(skolem_N7979, M38_147_8)
% 293.42/42.87 -> [9832] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_147_8))
% 293.42/42.87
% 293.42/42.87 [9832] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_147_8))
% 293.42/42.87
% 293.42/42.87 [9831] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_147_8)
% 293.42/42.87
% 293.42/42.87 [9764] BETA_OR : (left_convergent_lines(skolem_N7979, M38_147_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_147_8)))
% 293.42/42.87 -> [9765] left_convergent_lines(skolem_N7979, M38_147_8)
% 293.42/42.87 -> [9766] left_convergent_lines(skolem_N7979, reverse_line(M38_147_8))
% 293.42/42.87
% 293.42/42.87 [9765] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [10040] ~(left_apart_point(A39_290_9, L40_290_9) | left_apart_point(A39_290_9, reverse_line(L40_290_9)))
% 293.42/42.87
% 293.42/42.87 [10040] ALPHA_NOT_OR : ~(left_apart_point(A39_290_9, L40_290_9) | left_apart_point(A39_290_9, reverse_line(L40_290_9)))
% 293.42/42.87 -> [10043] ~left_apart_point(A39_290_9, L40_290_9), ~left_apart_point(A39_290_9, reverse_line(L40_290_9))
% 293.42/42.87
% 293.42/42.87 [10043] CLOSURE : ~left_apart_point(A39_290_9, L40_290_9)
% 293.42/42.87
% 293.42/42.87 [9766] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [10046] ~(left_apart_point(A39_291_9, L40_291_9) | left_apart_point(A39_291_9, reverse_line(L40_291_9)))
% 293.42/42.87
% 293.42/42.87 [10046] ALPHA_NOT_OR : ~(left_apart_point(A39_291_9, L40_291_9) | left_apart_point(A39_291_9, reverse_line(L40_291_9)))
% 293.42/42.87 -> [10047] ~left_apart_point(A39_291_9, L40_291_9), ~left_apart_point(A39_291_9, reverse_line(L40_291_9))
% 293.42/42.87
% 293.42/42.87 [10047] CLOSURE : ~left_apart_point(A39_291_9, L40_291_9)
% 293.42/42.87
% 293.42/42.87 [9426] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.87 -> [9431] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.87 -> [9432] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.87
% 293.42/42.87 [9431] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.87
% 293.42/42.87 [9432] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [9702] ((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))))
% 293.42/42.87
% 293.42/42.87 [9702] 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))))
% 293.42/42.87 -> [9704] ~(unequally_directed_lines(skolem_N7979, M38_143_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_143_8)))
% 293.42/42.87 -> [9705] (left_convergent_lines(skolem_N7979, M38_143_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_143_8)))
% 293.42/42.87
% 293.42/42.87 [9705] BETA_OR : (left_convergent_lines(skolem_N7979, M38_143_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_143_8)))
% 293.42/42.87 -> [9708] left_convergent_lines(skolem_N7979, M38_143_8)
% 293.42/42.87 -> [9709] left_convergent_lines(skolem_N7979, reverse_line(M38_143_8))
% 293.42/42.87
% 293.42/42.87 [9709] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [9923] ~(left_apart_point(A39_272_9, L40_272_9) | left_apart_point(A39_272_9, reverse_line(L40_272_9)))
% 293.42/42.87
% 293.42/42.87 [9923] ALPHA_NOT_OR : ~(left_apart_point(A39_272_9, L40_272_9) | left_apart_point(A39_272_9, reverse_line(L40_272_9)))
% 293.42/42.87 -> [9924] ~left_apart_point(A39_272_9, L40_272_9), ~left_apart_point(A39_272_9, reverse_line(L40_272_9))
% 293.42/42.87
% 293.42/42.87 [9924] CLOSURE : ~left_apart_point(A39_272_9, L40_272_9)
% 293.42/42.87
% 293.42/42.87 [9708] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [9957] ~(left_apart_point(A39_279_9, L40_279_9) | left_apart_point(A39_279_9, reverse_line(L40_279_9)))
% 293.42/42.87
% 293.42/42.87 [9957] ALPHA_NOT_OR : ~(left_apart_point(A39_279_9, L40_279_9) | left_apart_point(A39_279_9, reverse_line(L40_279_9)))
% 293.42/42.87 -> [9962] ~left_apart_point(A39_279_9, L40_279_9), ~left_apart_point(A39_279_9, reverse_line(L40_279_9))
% 293.42/42.87
% 293.42/42.87 [9962] CLOSURE : ~left_apart_point(A39_279_9, L40_279_9)
% 293.42/42.87
% 293.42/42.87 [9704] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_143_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_143_8)))
% 293.42/42.87 -> [9772] ~unequally_directed_lines(skolem_N7979, M38_143_8)
% 293.42/42.87 -> [9773] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_143_8))
% 293.42/42.87
% 293.42/42.87 [9773] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_143_8))
% 293.42/42.87
% 293.42/42.87 [9772] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_143_8)
% 293.42/42.87
% 293.42/42.87 [9260] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_26_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_26_6)))
% 293.42/42.87 -> [9289] unequally_directed_lines(skolem_M7878, N34_26_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_26_6))
% 293.42/42.87
% 293.42/42.87 [9289] 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)))))
% 293.42/42.87 -> [12576] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.87
% 293.42/42.87 [12576] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.87 -> [12579] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.87 -> [12580] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.87
% 293.42/42.87 [12579] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.87 -> [12635] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.87 -> [12636] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.87
% 293.42/42.87 [12636] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [13718] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.87
% 293.42/42.87 [13718] 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))))
% 293.42/42.87 -> [13719] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [13720] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87
% 293.42/42.87 [13720] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [13723] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87 -> [13724] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [13724] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [13901] ~(left_apart_point(A39_679_9, L40_679_9) | left_apart_point(A39_679_9, reverse_line(L40_679_9)))
% 293.42/42.87
% 293.42/42.87 [13901] ALPHA_NOT_OR : ~(left_apart_point(A39_679_9, L40_679_9) | left_apart_point(A39_679_9, reverse_line(L40_679_9)))
% 293.42/42.87 -> [13904] ~left_apart_point(A39_679_9, L40_679_9), ~left_apart_point(A39_679_9, reverse_line(L40_679_9))
% 293.42/42.87
% 293.42/42.87 [13904] CLOSURE : ~left_apart_point(A39_679_9, L40_679_9)
% 293.42/42.87
% 293.42/42.87 [13723] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [13965] ~(left_apart_point(A39_688_9, L40_688_9) | left_apart_point(A39_688_9, reverse_line(L40_688_9)))
% 293.42/42.87
% 293.42/42.87 [13965] ALPHA_NOT_OR : ~(left_apart_point(A39_688_9, L40_688_9) | left_apart_point(A39_688_9, reverse_line(L40_688_9)))
% 293.42/42.87 -> [13967] ~left_apart_point(A39_688_9, L40_688_9), ~left_apart_point(A39_688_9, reverse_line(L40_688_9))
% 293.42/42.87
% 293.42/42.87 [13967] CLOSURE : ~left_apart_point(A39_688_9, L40_688_9)
% 293.42/42.87
% 293.42/42.87 [13719] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [13787] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87 -> [13788] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [13788] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [13787] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [12635] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [15716] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.87
% 293.42/42.87 [15716] 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))))
% 293.42/42.87 -> [15718] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [15719] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87
% 293.42/42.87 [15719] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [15722] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87 -> [15723] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [15723] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [15780] ~(left_apart_point(A39_910_9, L40_910_9) | left_apart_point(A39_910_9, reverse_line(L40_910_9)))
% 293.42/42.87
% 293.42/42.87 [15780] ALPHA_NOT_OR : ~(left_apart_point(A39_910_9, L40_910_9) | left_apart_point(A39_910_9, reverse_line(L40_910_9)))
% 293.42/42.87 -> [15783] ~left_apart_point(A39_910_9, L40_910_9), ~left_apart_point(A39_910_9, reverse_line(L40_910_9))
% 293.42/42.87
% 293.42/42.87 [15783] CLOSURE : ~left_apart_point(A39_910_9, L40_910_9)
% 293.42/42.87
% 293.42/42.87 [15722] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [15817] ~(left_apart_point(A39_912_9, L40_912_9) | left_apart_point(A39_912_9, reverse_line(L40_912_9)))
% 293.42/42.87
% 293.42/42.87 [15817] ALPHA_NOT_OR : ~(left_apart_point(A39_912_9, L40_912_9) | left_apart_point(A39_912_9, reverse_line(L40_912_9)))
% 293.42/42.87 -> [15820] ~left_apart_point(A39_912_9, L40_912_9), ~left_apart_point(A39_912_9, reverse_line(L40_912_9))
% 293.42/42.87
% 293.42/42.87 [15820] CLOSURE : ~left_apart_point(A39_912_9, L40_912_9)
% 293.42/42.87
% 293.42/42.87 [15718] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [15745] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87 -> [15746] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [15746] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [15745] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [12580] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.87 -> [12581] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.87 -> [12582] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.87
% 293.42/42.87 [12582] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [13860] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.87
% 293.42/42.87 [13860] 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))))
% 293.42/42.87 -> [13862] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [13863] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87
% 293.42/42.87 [13863] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [13867] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87 -> [13868] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [13868] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [13998] ~(left_apart_point(A39_692_9, L40_692_9) | left_apart_point(A39_692_9, reverse_line(L40_692_9)))
% 293.42/42.87
% 293.42/42.87 [13998] ALPHA_NOT_OR : ~(left_apart_point(A39_692_9, L40_692_9) | left_apart_point(A39_692_9, reverse_line(L40_692_9)))
% 293.42/42.87 -> [14002] ~left_apart_point(A39_692_9, L40_692_9), ~left_apart_point(A39_692_9, reverse_line(L40_692_9))
% 293.42/42.87
% 293.42/42.87 [14002] CLOSURE : ~left_apart_point(A39_692_9, L40_692_9)
% 293.42/42.87
% 293.42/42.87 [13867] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [14058] ~(left_apart_point(A39_698_9, L40_698_9) | left_apart_point(A39_698_9, reverse_line(L40_698_9)))
% 293.42/42.87
% 293.42/42.87 [14058] ALPHA_NOT_OR : ~(left_apart_point(A39_698_9, L40_698_9) | left_apart_point(A39_698_9, reverse_line(L40_698_9)))
% 293.42/42.87 -> [14059] ~left_apart_point(A39_698_9, L40_698_9), ~left_apart_point(A39_698_9, reverse_line(L40_698_9))
% 293.42/42.87
% 293.42/42.87 [14059] CLOSURE : ~left_apart_point(A39_698_9, L40_698_9)
% 293.42/42.87
% 293.42/42.87 [13862] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [13898] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87 -> [13899] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [13899] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [13898] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [12581] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.87
% 293.42/42.87 [290] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.42/42.87 -> [304] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 293.42/42.87 -> [305] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.87
% 293.42/42.87 [304] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.87 -> [531] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.87
% 293.42/42.87 [531] 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))))
% 293.42/42.87 -> [893] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.87
% 293.42/42.87 [893] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.87 -> [894] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.87 -> [895] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.87
% 293.42/42.87 [894] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.87
% 293.42/42.87 [895] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.87 -> [5455] distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.87 -> [5456] distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.87
% 293.42/42.87 [5456] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.87
% 293.42/42.87 [5455] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.87 -> [6297] ~distinct_lines(N27_209_3, N27_209_3)
% 293.42/42.87
% 293.42/42.87 [6297] 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))))
% 293.42/42.87 -> [6615] (distinct_lines(N27_209_3, N27_209_3) => (distinct_lines(N27_209_3, N27_209_3) | distinct_lines(N27_209_3, N27_209_3)))
% 293.42/42.87
% 293.42/42.87 [6615] BETA_IMPLY : (distinct_lines(N27_209_3, N27_209_3) => (distinct_lines(N27_209_3, N27_209_3) | distinct_lines(N27_209_3, N27_209_3)))
% 293.42/42.87 -> [6620] ~distinct_lines(N27_209_3, N27_209_3)
% 293.42/42.87 -> [6621] (distinct_lines(N27_209_3, N27_209_3) | distinct_lines(N27_209_3, N27_209_3))
% 293.42/42.87
% 293.42/42.87 [6621] BETA_OR : (distinct_lines(N27_209_3, N27_209_3) | distinct_lines(N27_209_3, N27_209_3))
% 293.42/42.87 -> [6624] distinct_lines(N27_209_3, N27_209_3)
% 293.42/42.87 -> [6625] distinct_lines(N27_209_3, N27_209_3)
% 293.42/42.87
% 293.42/42.87 [6625] CLOSURE : distinct_lines(N27_209_3, N27_209_3)
% 293.42/42.87
% 293.42/42.87 [6624] CLOSURE : distinct_lines(N27_209_3, N27_209_3)
% 293.42/42.87
% 293.42/42.87 [6620] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.87 -> [6961] ~unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.87
% 293.42/42.87 [6961] 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))))
% 293.42/42.87 -> [7376] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.87
% 293.42/42.87 [7376] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.87 -> [7377] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.87 -> [7378] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.87
% 293.42/42.87 [7377] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.87
% 293.42/42.87 [7378] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.87 -> [8444] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.87 -> [8445] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.87
% 293.42/42.87 [8445] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.87
% 293.42/42.87 [8444] 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))))))
% 293.42/42.87 -> [12447] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_179_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_179_6))) | (unequally_directed_lines(skolem_N7979, N34_179_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_179_6)))))
% 293.42/42.87
% 293.42/42.87 [12447] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_179_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_179_6))) | (unequally_directed_lines(skolem_N7979, N34_179_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_179_6)))))
% 293.42/42.87 -> [12448] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.87 -> [12449] ((unequally_directed_lines(skolem_M7878, N34_179_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_179_6))) | (unequally_directed_lines(skolem_N7979, N34_179_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_179_6))))
% 293.42/42.87
% 293.42/42.87 [12448] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.87 -> [12538] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.87 -> [12539] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [12539] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [12538] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.87
% 293.42/42.87 [12449] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_179_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_179_6))) | (unequally_directed_lines(skolem_N7979, N34_179_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_179_6))))
% 293.42/42.87 -> [14680] (unequally_directed_lines(skolem_M7878, N34_179_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_179_6)))
% 293.42/42.87 -> [14681] (unequally_directed_lines(skolem_N7979, N34_179_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_179_6)))
% 293.42/42.87
% 293.42/42.87 [14681] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_179_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_179_6)))
% 293.42/42.87 -> [14682] unequally_directed_lines(skolem_N7979, N34_179_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_179_6))
% 293.42/42.87
% 293.42/42.87 [14682] 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)))))
% 293.42/42.87 -> [15191] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.87
% 293.42/42.87 [15191] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.87 -> [15192] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.87 -> [15193] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.87
% 293.42/42.87 [15192] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.87 -> [15289] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.87 -> [15290] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.87
% 293.42/42.87 [15289] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [17630] ((unequally_directed_lines(skolem_N7979, M38_595_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_595_8))) => (left_convergent_lines(skolem_N7979, M38_595_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_595_8))))
% 293.42/42.87
% 293.42/42.87 [17630] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_595_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_595_8))) => (left_convergent_lines(skolem_N7979, M38_595_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_595_8))))
% 293.42/42.87 -> [17631] ~(unequally_directed_lines(skolem_N7979, M38_595_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_595_8)))
% 293.42/42.87 -> [17632] (left_convergent_lines(skolem_N7979, M38_595_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_595_8)))
% 293.42/42.87
% 293.42/42.87 [17631] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_595_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_595_8)))
% 293.42/42.87 -> [17744] ~unequally_directed_lines(skolem_N7979, M38_595_8)
% 293.42/42.87 -> [17745] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_595_8))
% 293.42/42.87
% 293.42/42.87 [17744] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_595_8)
% 293.42/42.87
% 293.42/42.87 [17745] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_595_8))
% 293.42/42.87
% 293.42/42.87 [17632] BETA_OR : (left_convergent_lines(skolem_N7979, M38_595_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_595_8)))
% 293.42/42.87 -> [17637] left_convergent_lines(skolem_N7979, M38_595_8)
% 293.42/42.87 -> [17638] left_convergent_lines(skolem_N7979, reverse_line(M38_595_8))
% 293.42/42.87
% 293.42/42.87 [17637] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [17899] ~(left_apart_point(A39_1156_9, L40_1156_9) | left_apart_point(A39_1156_9, reverse_line(L40_1156_9)))
% 293.42/42.87
% 293.42/42.87 [17899] ALPHA_NOT_OR : ~(left_apart_point(A39_1156_9, L40_1156_9) | left_apart_point(A39_1156_9, reverse_line(L40_1156_9)))
% 293.42/42.87 -> [17900] ~left_apart_point(A39_1156_9, L40_1156_9), ~left_apart_point(A39_1156_9, reverse_line(L40_1156_9))
% 293.42/42.87
% 293.42/42.87 [17900] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.87 -> [18006] ~(left_convergent_lines(L41_145_10, M42_145_10) | left_convergent_lines(L41_145_10, reverse_line(M42_145_10)))
% 293.42/42.87
% 293.42/42.87 [18006] ALPHA_NOT_OR : ~(left_convergent_lines(L41_145_10, M42_145_10) | left_convergent_lines(L41_145_10, reverse_line(M42_145_10)))
% 293.42/42.87 -> [18009] ~left_convergent_lines(L41_145_10, M42_145_10), ~left_convergent_lines(L41_145_10, reverse_line(M42_145_10))
% 293.42/42.87
% 293.42/42.87 [18009] CLOSURE : ~left_convergent_lines(L41_145_10, M42_145_10)
% 293.42/42.87
% 293.42/42.87 [17638] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [17867] ~(left_apart_point(A39_1155_9, L40_1155_9) | left_apart_point(A39_1155_9, reverse_line(L40_1155_9)))
% 293.42/42.87
% 293.42/42.87 [17867] ALPHA_NOT_OR : ~(left_apart_point(A39_1155_9, L40_1155_9) | left_apart_point(A39_1155_9, reverse_line(L40_1155_9)))
% 293.42/42.87 -> [17871] ~left_apart_point(A39_1155_9, L40_1155_9), ~left_apart_point(A39_1155_9, reverse_line(L40_1155_9))
% 293.42/42.87
% 293.42/42.87 [17871] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.87 -> [18099] ~(left_convergent_lines(L41_147_10, M42_147_10) | left_convergent_lines(L41_147_10, reverse_line(M42_147_10)))
% 293.42/42.87
% 293.42/42.87 [18099] ALPHA_NOT_OR : ~(left_convergent_lines(L41_147_10, M42_147_10) | left_convergent_lines(L41_147_10, reverse_line(M42_147_10)))
% 293.42/42.87 -> [18101] ~left_convergent_lines(L41_147_10, M42_147_10), ~left_convergent_lines(L41_147_10, reverse_line(M42_147_10))
% 293.42/42.87
% 293.42/42.87 [18101] CLOSURE : ~left_convergent_lines(L41_147_10, M42_147_10)
% 293.42/42.87
% 293.42/42.87 [15290] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [15760] ((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))))
% 293.42/42.87
% 293.42/42.87 [15760] 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))))
% 293.42/42.87 -> [15764] ~(unequally_directed_lines(skolem_N7979, M38_473_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_473_8)))
% 293.42/42.87 -> [15765] (left_convergent_lines(skolem_N7979, M38_473_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_473_8)))
% 293.42/42.87
% 293.42/42.87 [15765] BETA_OR : (left_convergent_lines(skolem_N7979, M38_473_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_473_8)))
% 293.42/42.87 -> [15771] left_convergent_lines(skolem_N7979, M38_473_8)
% 293.42/42.87 -> [15772] left_convergent_lines(skolem_N7979, reverse_line(M38_473_8))
% 293.42/42.87
% 293.42/42.87 [15771] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [17623] ~(left_apart_point(A39_1126_9, L40_1126_9) | left_apart_point(A39_1126_9, reverse_line(L40_1126_9)))
% 293.42/42.87
% 293.42/42.87 [17623] ALPHA_NOT_OR : ~(left_apart_point(A39_1126_9, L40_1126_9) | left_apart_point(A39_1126_9, reverse_line(L40_1126_9)))
% 293.42/42.87 -> [17624] ~left_apart_point(A39_1126_9, L40_1126_9), ~left_apart_point(A39_1126_9, reverse_line(L40_1126_9))
% 293.42/42.87
% 293.42/42.87 [17624] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.87 -> [17713] ~(left_convergent_lines(L41_132_10, M42_132_10) | left_convergent_lines(L41_132_10, reverse_line(M42_132_10)))
% 293.42/42.87
% 293.42/42.87 [17713] ALPHA_NOT_OR : ~(left_convergent_lines(L41_132_10, M42_132_10) | left_convergent_lines(L41_132_10, reverse_line(M42_132_10)))
% 293.42/42.87 -> [17716] ~left_convergent_lines(L41_132_10, M42_132_10), ~left_convergent_lines(L41_132_10, reverse_line(M42_132_10))
% 293.42/42.87
% 293.42/42.87 [17716] CLOSURE : ~left_convergent_lines(L41_132_10, M42_132_10)
% 293.42/42.87
% 293.42/42.87 [15772] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [17658] ~(left_apart_point(A39_1133_9, L40_1133_9) | left_apart_point(A39_1133_9, reverse_line(L40_1133_9)))
% 293.42/42.87
% 293.42/42.87 [17658] ALPHA_NOT_OR : ~(left_apart_point(A39_1133_9, L40_1133_9) | left_apart_point(A39_1133_9, reverse_line(L40_1133_9)))
% 293.42/42.87 -> [17661] ~left_apart_point(A39_1133_9, L40_1133_9), ~left_apart_point(A39_1133_9, reverse_line(L40_1133_9))
% 293.42/42.87
% 293.42/42.87 [17661] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.87 -> [17733] ~(left_convergent_lines(L41_134_10, M42_134_10) | left_convergent_lines(L41_134_10, reverse_line(M42_134_10)))
% 293.42/42.87
% 293.42/42.87 [17733] ALPHA_NOT_OR : ~(left_convergent_lines(L41_134_10, M42_134_10) | left_convergent_lines(L41_134_10, reverse_line(M42_134_10)))
% 293.42/42.87 -> [17737] ~left_convergent_lines(L41_134_10, M42_134_10), ~left_convergent_lines(L41_134_10, reverse_line(M42_134_10))
% 293.42/42.87
% 293.42/42.87 [17737] CLOSURE : ~left_convergent_lines(L41_134_10, M42_134_10)
% 293.42/42.87
% 293.42/42.87 [15764] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_473_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_473_8)))
% 293.42/42.87 -> [17643] ~unequally_directed_lines(skolem_N7979, M38_473_8)
% 293.42/42.87 -> [17644] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_473_8))
% 293.42/42.87
% 293.42/42.87 [17644] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_473_8))
% 293.42/42.87
% 293.42/42.87 [17643] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_473_8)
% 293.42/42.87
% 293.42/42.87 [15193] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.87 -> [15194] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.87 -> [15195] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.87
% 293.42/42.87 [15194] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.87
% 293.42/42.87 [15195] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [15777] ((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))))
% 293.42/42.87
% 293.42/42.87 [15777] 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))))
% 293.42/42.87 -> [15778] ~(unequally_directed_lines(skolem_N7979, M38_475_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_475_8)))
% 293.42/42.87 -> [15779] (left_convergent_lines(skolem_N7979, M38_475_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_475_8)))
% 293.42/42.87
% 293.42/42.87 [15778] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_475_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_475_8)))
% 293.42/42.87 -> [17689] ~unequally_directed_lines(skolem_N7979, M38_475_8)
% 293.42/42.87 -> [17690] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_475_8))
% 293.42/42.87
% 293.42/42.87 [17690] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_475_8))
% 293.42/42.87
% 293.42/42.87 [17689] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_475_8)
% 293.42/42.87
% 293.42/42.87 [15779] BETA_OR : (left_convergent_lines(skolem_N7979, M38_475_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_475_8)))
% 293.42/42.87 -> [15784] left_convergent_lines(skolem_N7979, M38_475_8)
% 293.42/42.87 -> [15785] left_convergent_lines(skolem_N7979, reverse_line(M38_475_8))
% 293.42/42.87
% 293.42/42.87 [15784] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [17752] ~(left_apart_point(A39_1144_9, L40_1144_9) | left_apart_point(A39_1144_9, reverse_line(L40_1144_9)))
% 293.42/42.87
% 293.42/42.87 [17752] ALPHA_NOT_OR : ~(left_apart_point(A39_1144_9, L40_1144_9) | left_apart_point(A39_1144_9, reverse_line(L40_1144_9)))
% 293.42/42.87 -> [17754] ~left_apart_point(A39_1144_9, L40_1144_9), ~left_apart_point(A39_1144_9, reverse_line(L40_1144_9))
% 293.42/42.87
% 293.42/42.87 [17754] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.87 -> [19592] ~(left_convergent_lines(L41_176_10, M42_176_10) | left_convergent_lines(L41_176_10, reverse_line(M42_176_10)))
% 293.42/42.87
% 293.42/42.87 [19592] ALPHA_NOT_OR : ~(left_convergent_lines(L41_176_10, M42_176_10) | left_convergent_lines(L41_176_10, reverse_line(M42_176_10)))
% 293.42/42.87 -> [19593] ~left_convergent_lines(L41_176_10, M42_176_10), ~left_convergent_lines(L41_176_10, reverse_line(M42_176_10))
% 293.42/42.87
% 293.42/42.87 [19593] CLOSURE : ~left_convergent_lines(L41_176_10, M42_176_10)
% 293.42/42.87
% 293.42/42.87 [15785] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [17748] ~(left_apart_point(A39_1143_9, L40_1143_9) | left_apart_point(A39_1143_9, reverse_line(L40_1143_9)))
% 293.42/42.87
% 293.42/42.87 [17748] ALPHA_NOT_OR : ~(left_apart_point(A39_1143_9, L40_1143_9) | left_apart_point(A39_1143_9, reverse_line(L40_1143_9)))
% 293.42/42.87 -> [17749] ~left_apart_point(A39_1143_9, L40_1143_9), ~left_apart_point(A39_1143_9, reverse_line(L40_1143_9))
% 293.42/42.87
% 293.42/42.87 [17749] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.87 -> [19694] ~(left_convergent_lines(L41_182_10, M42_182_10) | left_convergent_lines(L41_182_10, reverse_line(M42_182_10)))
% 293.42/42.87
% 293.42/42.87 [19694] ALPHA_NOT_OR : ~(left_convergent_lines(L41_182_10, M42_182_10) | left_convergent_lines(L41_182_10, reverse_line(M42_182_10)))
% 293.42/42.87 -> [19696] ~left_convergent_lines(L41_182_10, M42_182_10), ~left_convergent_lines(L41_182_10, reverse_line(M42_182_10))
% 293.42/42.87
% 293.42/42.87 [19696] CLOSURE : ~left_convergent_lines(L41_182_10, M42_182_10)
% 293.42/42.87
% 293.42/42.87 [14680] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_179_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_179_6)))
% 293.42/42.87 -> [14730] unequally_directed_lines(skolem_M7878, N34_179_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_179_6))
% 293.42/42.87
% 293.42/42.87 [14730] 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)))))
% 293.42/42.87 -> [15275] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.87
% 293.42/42.87 [15275] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.87 -> [15278] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.87 -> [15279] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.87
% 293.42/42.87 [15279] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.87 -> [15282] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.87 -> [15283] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.87
% 293.42/42.87 [15282] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.87
% 293.42/42.87 [15283] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [17558] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.87
% 293.42/42.87 [17558] 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))))
% 293.42/42.87 -> [17559] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [17560] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87
% 293.42/42.87 [17559] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [17651] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87 -> [17652] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [17652] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [17651] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [17560] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [17568] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87 -> [17569] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [17569] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [18478] ~(left_apart_point(A39_1228_9, L40_1228_9) | left_apart_point(A39_1228_9, reverse_line(L40_1228_9)))
% 293.42/42.87
% 293.42/42.87 [18478] ALPHA_NOT_OR : ~(left_apart_point(A39_1228_9, L40_1228_9) | left_apart_point(A39_1228_9, reverse_line(L40_1228_9)))
% 293.42/42.87 -> [18483] ~left_apart_point(A39_1228_9, L40_1228_9), ~left_apart_point(A39_1228_9, reverse_line(L40_1228_9))
% 293.42/42.87
% 293.42/42.87 [18483] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.87 -> [18549] ~(left_convergent_lines(L41_160_10, M42_160_10) | left_convergent_lines(L41_160_10, reverse_line(M42_160_10)))
% 293.42/42.87
% 293.42/42.87 [18549] ALPHA_NOT_OR : ~(left_convergent_lines(L41_160_10, M42_160_10) | left_convergent_lines(L41_160_10, reverse_line(M42_160_10)))
% 293.42/42.87 -> [18551] ~left_convergent_lines(L41_160_10, M42_160_10), ~left_convergent_lines(L41_160_10, reverse_line(M42_160_10))
% 293.42/42.87
% 293.42/42.87 [18551] CLOSURE : ~left_convergent_lines(L41_160_10, M42_160_10)
% 293.42/42.87
% 293.42/42.87 [17568] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [19280] ~(left_apart_point(A39_1324_9, L40_1324_9) | left_apart_point(A39_1324_9, reverse_line(L40_1324_9)))
% 293.42/42.87
% 293.42/42.87 [19280] ALPHA_NOT_OR : ~(left_apart_point(A39_1324_9, L40_1324_9) | left_apart_point(A39_1324_9, reverse_line(L40_1324_9)))
% 293.42/42.87 -> [19286] ~left_apart_point(A39_1324_9, L40_1324_9), ~left_apart_point(A39_1324_9, reverse_line(L40_1324_9))
% 293.42/42.87
% 293.42/42.87 [19286] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.87 -> [19419] ~(left_convergent_lines(L41_175_10, M42_175_10) | left_convergent_lines(L41_175_10, reverse_line(M42_175_10)))
% 293.42/42.87
% 293.42/42.87 [19419] ALPHA_NOT_OR : ~(left_convergent_lines(L41_175_10, M42_175_10) | left_convergent_lines(L41_175_10, reverse_line(M42_175_10)))
% 293.42/42.87 -> [19423] ~left_convergent_lines(L41_175_10, M42_175_10), ~left_convergent_lines(L41_175_10, reverse_line(M42_175_10))
% 293.42/42.87
% 293.42/42.87 [19423] CLOSURE : ~left_convergent_lines(L41_175_10, M42_175_10)
% 293.42/42.87
% 293.42/42.87 [15278] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.87 -> [15360] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.87 -> [15361] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.87
% 293.42/42.87 [15361] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [15972] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.87
% 293.42/42.87 [15972] 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))))
% 293.42/42.87 -> [17221] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [17222] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87
% 293.42/42.87 [17221] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [17321] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87 -> [17322] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [17322] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [17321] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [17222] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [17228] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87 -> [17229] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [17229] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [17657] ~(left_apart_point(A39_1132_9, L40_1132_9) | left_apart_point(A39_1132_9, reverse_line(L40_1132_9)))
% 293.42/42.87
% 293.42/42.87 [17657] ALPHA_NOT_OR : ~(left_apart_point(A39_1132_9, L40_1132_9) | left_apart_point(A39_1132_9, reverse_line(L40_1132_9)))
% 293.42/42.87 -> [17660] ~left_apart_point(A39_1132_9, L40_1132_9), ~left_apart_point(A39_1132_9, reverse_line(L40_1132_9))
% 293.42/42.87
% 293.42/42.87 [17660] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.87 -> [18215] ~(left_convergent_lines(L41_148_10, M42_148_10) | left_convergent_lines(L41_148_10, reverse_line(M42_148_10)))
% 293.42/42.87
% 293.42/42.87 [18215] ALPHA_NOT_OR : ~(left_convergent_lines(L41_148_10, M42_148_10) | left_convergent_lines(L41_148_10, reverse_line(M42_148_10)))
% 293.42/42.87 -> [18217] ~left_convergent_lines(L41_148_10, M42_148_10), ~left_convergent_lines(L41_148_10, reverse_line(M42_148_10))
% 293.42/42.87
% 293.42/42.87 [18217] CLOSURE : ~left_convergent_lines(L41_148_10, M42_148_10)
% 293.42/42.87
% 293.42/42.87 [17228] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [17762] ~(left_apart_point(A39_1145_9, L40_1145_9) | left_apart_point(A39_1145_9, reverse_line(L40_1145_9)))
% 293.42/42.87
% 293.42/42.87 [17762] ALPHA_NOT_OR : ~(left_apart_point(A39_1145_9, L40_1145_9) | left_apart_point(A39_1145_9, reverse_line(L40_1145_9)))
% 293.42/42.87 -> [17765] ~left_apart_point(A39_1145_9, L40_1145_9), ~left_apart_point(A39_1145_9, reverse_line(L40_1145_9))
% 293.42/42.87
% 293.42/42.87 [17765] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.87 -> [18243] ~(left_convergent_lines(L41_149_10, M42_149_10) | left_convergent_lines(L41_149_10, reverse_line(M42_149_10)))
% 293.42/42.87
% 293.42/42.87 [18243] ALPHA_NOT_OR : ~(left_convergent_lines(L41_149_10, M42_149_10) | left_convergent_lines(L41_149_10, reverse_line(M42_149_10)))
% 293.42/42.87 -> [18244] ~left_convergent_lines(L41_149_10, M42_149_10), ~left_convergent_lines(L41_149_10, reverse_line(M42_149_10))
% 293.42/42.87
% 293.42/42.87 [18244] CLOSURE : ~left_convergent_lines(L41_149_10, M42_149_10)
% 293.42/42.87
% 293.42/42.87 [15360] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [16111] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.87
% 293.42/42.87 [16111] 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))))
% 293.42/42.87 -> [16113] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [16114] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87
% 293.42/42.87 [16113] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [16334] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87 -> [16335] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [16335] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [16334] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [16114] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [16120] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87 -> [16121] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [16121] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [16709] ~(left_apart_point(A39_999_9, L40_999_9) | left_apart_point(A39_999_9, reverse_line(L40_999_9)))
% 293.42/42.87
% 293.42/42.87 [16709] ALPHA_NOT_OR : ~(left_apart_point(A39_999_9, L40_999_9) | left_apart_point(A39_999_9, reverse_line(L40_999_9)))
% 293.42/42.87 -> [16712] ~left_apart_point(A39_999_9, L40_999_9), ~left_apart_point(A39_999_9, reverse_line(L40_999_9))
% 293.42/42.87
% 293.42/42.87 [16712] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.87 -> [17398] ~(left_convergent_lines(L41_129_10, M42_129_10) | left_convergent_lines(L41_129_10, reverse_line(M42_129_10)))
% 293.42/42.87
% 293.42/42.87 [17398] ALPHA_NOT_OR : ~(left_convergent_lines(L41_129_10, M42_129_10) | left_convergent_lines(L41_129_10, reverse_line(M42_129_10)))
% 293.42/42.87 -> [17400] ~left_convergent_lines(L41_129_10, M42_129_10), ~left_convergent_lines(L41_129_10, reverse_line(M42_129_10))
% 293.42/42.87
% 293.42/42.87 [17400] CLOSURE : ~left_convergent_lines(L41_129_10, M42_129_10)
% 293.42/42.87
% 293.42/42.87 [16120] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [16883] ~(left_apart_point(A39_1017_9, L40_1017_9) | left_apart_point(A39_1017_9, reverse_line(L40_1017_9)))
% 293.42/42.87
% 293.42/42.87 [16883] ALPHA_NOT_OR : ~(left_apart_point(A39_1017_9, L40_1017_9) | left_apart_point(A39_1017_9, reverse_line(L40_1017_9)))
% 293.42/42.87 -> [16884] ~left_apart_point(A39_1017_9, L40_1017_9), ~left_apart_point(A39_1017_9, reverse_line(L40_1017_9))
% 293.42/42.87
% 293.42/42.87 [16884] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.87 -> [22038] ~(left_convergent_lines(L41_214_10, M42_214_10) | left_convergent_lines(L41_214_10, reverse_line(M42_214_10)))
% 293.42/42.87
% 293.42/42.87 [22038] ALPHA_NOT_OR : ~(left_convergent_lines(L41_214_10, M42_214_10) | left_convergent_lines(L41_214_10, reverse_line(M42_214_10)))
% 293.42/42.87 -> [22326] ~left_convergent_lines(L41_214_10, M42_214_10), ~left_convergent_lines(L41_214_10, reverse_line(M42_214_10))
% 293.42/42.87
% 293.42/42.87 [22326] CLOSURE : ~left_convergent_lines(L41_214_10, M42_214_10)
% 293.42/42.87
% 293.42/42.87 [305] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.87 -> [307] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.87
% 293.42/42.87 [307] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.87 -> [639] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.42/42.87 -> [640] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [639] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.87 -> [1288] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.87
% 293.42/42.87 [1288] 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))))
% 293.42/42.87 -> [1515] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.87
% 293.42/42.87 [1515] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.87 -> [1516] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.87 -> [1517] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.87
% 293.42/42.87 [1516] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.87
% 293.42/42.87 [1517] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.87 -> [5238] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.87 -> [5239] distinct_points(skolem_A8080, skolem_B8181)
% 293.42/42.87
% 293.42/42.87 [5238] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.87
% 293.42/42.87 [5239] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.87 -> [5673] ~distinct_lines(N27_167_3, N27_167_3)
% 293.42/42.87
% 293.42/42.87 [5673] 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))))
% 293.42/42.87 -> [5747] (distinct_lines(N27_167_3, N27_167_3) => (distinct_lines(N27_167_3, N27_167_3) | distinct_lines(N27_167_3, N27_167_3)))
% 293.42/42.87
% 293.42/42.87 [5747] BETA_IMPLY : (distinct_lines(N27_167_3, N27_167_3) => (distinct_lines(N27_167_3, N27_167_3) | distinct_lines(N27_167_3, N27_167_3)))
% 293.42/42.87 -> [5748] ~distinct_lines(N27_167_3, N27_167_3)
% 293.42/42.87 -> [5749] (distinct_lines(N27_167_3, N27_167_3) | distinct_lines(N27_167_3, N27_167_3))
% 293.42/42.87
% 293.42/42.87 [5749] BETA_OR : (distinct_lines(N27_167_3, N27_167_3) | distinct_lines(N27_167_3, N27_167_3))
% 293.42/42.87 -> [5753] distinct_lines(N27_167_3, N27_167_3)
% 293.42/42.87 -> [5754] distinct_lines(N27_167_3, N27_167_3)
% 293.42/42.87
% 293.42/42.87 [5754] CLOSURE : distinct_lines(N27_167_3, N27_167_3)
% 293.42/42.87
% 293.42/42.87 [5753] CLOSURE : distinct_lines(N27_167_3, N27_167_3)
% 293.42/42.87
% 293.42/42.87 [5748] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.87 -> [5943] ~unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.87
% 293.42/42.87 [5943] 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))))
% 293.42/42.87 -> [6153] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.87
% 293.42/42.87 [6153] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.87 -> [6154] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.87 -> [6155] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.87
% 293.42/42.87 [6154] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.87
% 293.42/42.87 [6155] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.87 -> [12615] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.87 -> [12616] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.87
% 293.42/42.87 [12616] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.87
% 293.42/42.87 [12615] 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))))))
% 293.42/42.87 -> [13913] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_202_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_202_6))) | (unequally_directed_lines(skolem_N7979, N34_202_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_202_6)))))
% 293.42/42.87
% 293.42/42.87 [13913] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_202_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_202_6))) | (unequally_directed_lines(skolem_N7979, N34_202_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_202_6)))))
% 293.42/42.87 -> [13916] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.87 -> [13917] ((unequally_directed_lines(skolem_M7878, N34_202_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_202_6))) | (unequally_directed_lines(skolem_N7979, N34_202_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_202_6))))
% 293.42/42.87
% 293.42/42.87 [13916] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.87 -> [13932] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.87 -> [13933] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [13933] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [13932] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.87
% 293.42/42.87 [13917] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_202_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_202_6))) | (unequally_directed_lines(skolem_N7979, N34_202_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_202_6))))
% 293.42/42.87 -> [14007] (unequally_directed_lines(skolem_M7878, N34_202_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_202_6)))
% 293.42/42.87 -> [14008] (unequally_directed_lines(skolem_N7979, N34_202_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_202_6)))
% 293.42/42.87
% 293.42/42.87 [14008] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_202_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_202_6)))
% 293.42/42.87 -> [14018] unequally_directed_lines(skolem_N7979, N34_202_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_202_6))
% 293.42/42.87
% 293.42/42.87 [14018] 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)))))
% 293.42/42.87 -> [14051] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.87
% 293.42/42.87 [14051] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.87 -> [14054] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.87 -> [14055] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.87
% 293.42/42.87 [14054] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.87 -> [14071] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.87 -> [14072] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.87
% 293.42/42.87 [14072] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [14104] ((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))))
% 293.42/42.87
% 293.42/42.87 [14104] 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))))
% 293.42/42.87 -> [14105] ~(unequally_directed_lines(skolem_N7979, M38_372_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_372_8)))
% 293.42/42.87 -> [14106] (left_convergent_lines(skolem_N7979, M38_372_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_372_8)))
% 293.42/42.87
% 293.42/42.87 [14106] BETA_OR : (left_convergent_lines(skolem_N7979, M38_372_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_372_8)))
% 293.42/42.87 -> [14109] left_convergent_lines(skolem_N7979, M38_372_8)
% 293.42/42.87 -> [14110] left_convergent_lines(skolem_N7979, reverse_line(M38_372_8))
% 293.42/42.87
% 293.42/42.87 [14110] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [14299] ~(left_apart_point(A39_725_9, L40_725_9) | left_apart_point(A39_725_9, reverse_line(L40_725_9)))
% 293.42/42.87
% 293.42/42.87 [14299] ALPHA_NOT_OR : ~(left_apart_point(A39_725_9, L40_725_9) | left_apart_point(A39_725_9, reverse_line(L40_725_9)))
% 293.42/42.87 -> [14300] ~left_apart_point(A39_725_9, L40_725_9), ~left_apart_point(A39_725_9, reverse_line(L40_725_9))
% 293.42/42.87
% 293.42/42.87 [14300] CLOSURE : ~left_apart_point(A39_725_9, L40_725_9)
% 293.42/42.87
% 293.42/42.87 [14109] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [14345] ~(left_apart_point(A39_736_9, L40_736_9) | left_apart_point(A39_736_9, reverse_line(L40_736_9)))
% 293.42/42.87
% 293.42/42.87 [14345] ALPHA_NOT_OR : ~(left_apart_point(A39_736_9, L40_736_9) | left_apart_point(A39_736_9, reverse_line(L40_736_9)))
% 293.42/42.87 -> [14348] ~left_apart_point(A39_736_9, L40_736_9), ~left_apart_point(A39_736_9, reverse_line(L40_736_9))
% 293.42/42.87
% 293.42/42.87 [14348] CLOSURE : ~left_apart_point(A39_736_9, L40_736_9)
% 293.42/42.87
% 293.42/42.87 [14105] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_372_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_372_8)))
% 293.42/42.87 -> [14196] ~unequally_directed_lines(skolem_N7979, M38_372_8)
% 293.42/42.87 -> [14197] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_372_8))
% 293.42/42.87
% 293.42/42.87 [14197] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_372_8))
% 293.42/42.87
% 293.42/42.87 [14196] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_372_8)
% 293.42/42.87
% 293.42/42.87 [14071] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [14176] ((unequally_directed_lines(skolem_N7979, M38_376_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_376_8))) => (left_convergent_lines(skolem_N7979, M38_376_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_376_8))))
% 293.42/42.87
% 293.42/42.87 [14176] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_376_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_376_8))) => (left_convergent_lines(skolem_N7979, M38_376_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_376_8))))
% 293.42/42.87 -> [14180] ~(unequally_directed_lines(skolem_N7979, M38_376_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_376_8)))
% 293.42/42.87 -> [14181] (left_convergent_lines(skolem_N7979, M38_376_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_376_8)))
% 293.42/42.87
% 293.42/42.87 [14181] BETA_OR : (left_convergent_lines(skolem_N7979, M38_376_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_376_8)))
% 293.42/42.87 -> [14187] left_convergent_lines(skolem_N7979, M38_376_8)
% 293.42/42.87 -> [14188] left_convergent_lines(skolem_N7979, reverse_line(M38_376_8))
% 293.42/42.87
% 293.42/42.87 [14188] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [14340] ~(left_apart_point(A39_735_9, L40_735_9) | left_apart_point(A39_735_9, reverse_line(L40_735_9)))
% 293.42/42.87
% 293.42/42.87 [14340] ALPHA_NOT_OR : ~(left_apart_point(A39_735_9, L40_735_9) | left_apart_point(A39_735_9, reverse_line(L40_735_9)))
% 293.42/42.87 -> [14343] ~left_apart_point(A39_735_9, L40_735_9), ~left_apart_point(A39_735_9, reverse_line(L40_735_9))
% 293.42/42.87
% 293.42/42.87 [14343] CLOSURE : ~left_apart_point(A39_735_9, L40_735_9)
% 293.42/42.87
% 293.42/42.87 [14187] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [14377] ~(left_apart_point(A39_742_9, L40_742_9) | left_apart_point(A39_742_9, reverse_line(L40_742_9)))
% 293.42/42.87
% 293.42/42.87 [14377] ALPHA_NOT_OR : ~(left_apart_point(A39_742_9, L40_742_9) | left_apart_point(A39_742_9, reverse_line(L40_742_9)))
% 293.42/42.87 -> [14384] ~left_apart_point(A39_742_9, L40_742_9), ~left_apart_point(A39_742_9, reverse_line(L40_742_9))
% 293.42/42.87
% 293.42/42.87 [14384] CLOSURE : ~left_apart_point(A39_742_9, L40_742_9)
% 293.42/42.87
% 293.42/42.87 [14180] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_376_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_376_8)))
% 293.42/42.87 -> [14236] ~unequally_directed_lines(skolem_N7979, M38_376_8)
% 293.42/42.87 -> [14237] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_376_8))
% 293.42/42.87
% 293.42/42.87 [14237] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_376_8))
% 293.42/42.87
% 293.42/42.87 [14236] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_376_8)
% 293.42/42.87
% 293.42/42.87 [14055] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.87 -> [14056] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.87 -> [14057] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.87
% 293.42/42.87 [14056] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.87
% 293.42/42.87 [14057] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [14115] ((unequally_directed_lines(skolem_N7979, M38_373_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_373_8))) => (left_convergent_lines(skolem_N7979, M38_373_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_373_8))))
% 293.42/42.87
% 293.42/42.87 [14115] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_373_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_373_8))) => (left_convergent_lines(skolem_N7979, M38_373_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_373_8))))
% 293.42/42.87 -> [14118] ~(unequally_directed_lines(skolem_N7979, M38_373_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_373_8)))
% 293.42/42.87 -> [14119] (left_convergent_lines(skolem_N7979, M38_373_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_373_8)))
% 293.42/42.87
% 293.42/42.87 [14119] BETA_OR : (left_convergent_lines(skolem_N7979, M38_373_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_373_8)))
% 293.42/42.87 -> [14128] left_convergent_lines(skolem_N7979, M38_373_8)
% 293.42/42.87 -> [14129] left_convergent_lines(skolem_N7979, reverse_line(M38_373_8))
% 293.42/42.87
% 293.42/42.87 [14129] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [14307] ~(left_apart_point(A39_728_9, L40_728_9) | left_apart_point(A39_728_9, reverse_line(L40_728_9)))
% 293.42/42.87
% 293.42/42.87 [14307] ALPHA_NOT_OR : ~(left_apart_point(A39_728_9, L40_728_9) | left_apart_point(A39_728_9, reverse_line(L40_728_9)))
% 293.42/42.87 -> [14308] ~left_apart_point(A39_728_9, L40_728_9), ~left_apart_point(A39_728_9, reverse_line(L40_728_9))
% 293.42/42.87
% 293.42/42.87 [14308] CLOSURE : ~left_apart_point(A39_728_9, L40_728_9)
% 293.42/42.87
% 293.42/42.87 [14128] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [14351] ~(left_apart_point(A39_737_9, L40_737_9) | left_apart_point(A39_737_9, reverse_line(L40_737_9)))
% 293.42/42.87
% 293.42/42.87 [14351] ALPHA_NOT_OR : ~(left_apart_point(A39_737_9, L40_737_9) | left_apart_point(A39_737_9, reverse_line(L40_737_9)))
% 293.42/42.87 -> [14352] ~left_apart_point(A39_737_9, L40_737_9), ~left_apart_point(A39_737_9, reverse_line(L40_737_9))
% 293.42/42.87
% 293.42/42.87 [14352] CLOSURE : ~left_apart_point(A39_737_9, L40_737_9)
% 293.42/42.87
% 293.42/42.87 [14118] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_373_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_373_8)))
% 293.42/42.87 -> [14204] ~unequally_directed_lines(skolem_N7979, M38_373_8)
% 293.42/42.87 -> [14205] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_373_8))
% 293.42/42.87
% 293.42/42.87 [14205] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_373_8))
% 293.42/42.87
% 293.42/42.87 [14204] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_373_8)
% 293.42/42.87
% 293.42/42.87 [14007] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_202_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_202_6)))
% 293.42/42.87 -> [14027] unequally_directed_lines(skolem_M7878, N34_202_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_202_6))
% 293.42/42.87
% 293.42/42.87 [14027] 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)))))
% 293.42/42.87 -> [14064] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.87
% 293.42/42.87 [14064] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.87 -> [14065] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.87 -> [14066] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.87
% 293.42/42.87 [14065] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.87 -> [14080] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.87 -> [14081] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.87
% 293.42/42.87 [14081] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [14138] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.87
% 293.42/42.87 [14138] 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))))
% 293.42/42.87 -> [14141] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [14142] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87
% 293.42/42.87 [14142] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [14150] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87 -> [14151] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [14151] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [14329] ~(left_apart_point(A39_732_9, L40_732_9) | left_apart_point(A39_732_9, reverse_line(L40_732_9)))
% 293.42/42.87
% 293.42/42.87 [14329] ALPHA_NOT_OR : ~(left_apart_point(A39_732_9, L40_732_9) | left_apart_point(A39_732_9, reverse_line(L40_732_9)))
% 293.42/42.87 -> [14330] ~left_apart_point(A39_732_9, L40_732_9), ~left_apart_point(A39_732_9, reverse_line(L40_732_9))
% 293.42/42.87
% 293.42/42.87 [14330] CLOSURE : ~left_apart_point(A39_732_9, L40_732_9)
% 293.42/42.87
% 293.42/42.87 [14150] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [14413] ~(left_apart_point(A39_744_9, L40_744_9) | left_apart_point(A39_744_9, reverse_line(L40_744_9)))
% 293.42/42.87
% 293.42/42.87 [14413] ALPHA_NOT_OR : ~(left_apart_point(A39_744_9, L40_744_9) | left_apart_point(A39_744_9, reverse_line(L40_744_9)))
% 293.42/42.87 -> [14417] ~left_apart_point(A39_744_9, L40_744_9), ~left_apart_point(A39_744_9, reverse_line(L40_744_9))
% 293.42/42.87
% 293.42/42.87 [14417] CLOSURE : ~left_apart_point(A39_744_9, L40_744_9)
% 293.42/42.87
% 293.42/42.87 [14141] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [14225] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87 -> [14226] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [14226] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [14225] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [14080] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [14214] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.87
% 293.42/42.87 [14214] 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))))
% 293.42/42.87 -> [14216] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [14217] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87
% 293.42/42.87 [14216] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [14249] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87 -> [14250] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [14250] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [14249] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [14217] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [14219] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87 -> [14220] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [14220] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [14353] ~(left_apart_point(A39_738_9, L40_738_9) | left_apart_point(A39_738_9, reverse_line(L40_738_9)))
% 293.42/42.87
% 293.42/42.87 [14353] ALPHA_NOT_OR : ~(left_apart_point(A39_738_9, L40_738_9) | left_apart_point(A39_738_9, reverse_line(L40_738_9)))
% 293.42/42.87 -> [14355] ~left_apart_point(A39_738_9, L40_738_9), ~left_apart_point(A39_738_9, reverse_line(L40_738_9))
% 293.42/42.87
% 293.42/42.87 [14355] CLOSURE : ~left_apart_point(A39_738_9, L40_738_9)
% 293.42/42.87
% 293.42/42.87 [14219] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [14437] ~(left_apart_point(A39_747_9, L40_747_9) | left_apart_point(A39_747_9, reverse_line(L40_747_9)))
% 293.42/42.87
% 293.42/42.87 [14437] ALPHA_NOT_OR : ~(left_apart_point(A39_747_9, L40_747_9) | left_apart_point(A39_747_9, reverse_line(L40_747_9)))
% 293.42/42.87 -> [14446] ~left_apart_point(A39_747_9, L40_747_9), ~left_apart_point(A39_747_9, reverse_line(L40_747_9))
% 293.42/42.87
% 293.42/42.87 [14446] CLOSURE : ~left_apart_point(A39_747_9, L40_747_9)
% 293.42/42.87
% 293.42/42.87 [14066] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.87 -> [14067] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.87 -> [14068] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.87
% 293.42/42.87 [14067] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.87
% 293.42/42.87 [14068] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [14162] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.87
% 293.42/42.87 [14162] 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))))
% 293.42/42.87 -> [14164] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [14165] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87
% 293.42/42.87 [14165] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [14169] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87 -> [14170] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [14170] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [14338] ~(left_apart_point(A39_734_9, L40_734_9) | left_apart_point(A39_734_9, reverse_line(L40_734_9)))
% 293.42/42.87
% 293.42/42.87 [14338] ALPHA_NOT_OR : ~(left_apart_point(A39_734_9, L40_734_9) | left_apart_point(A39_734_9, reverse_line(L40_734_9)))
% 293.42/42.87 -> [14339] ~left_apart_point(A39_734_9, L40_734_9), ~left_apart_point(A39_734_9, reverse_line(L40_734_9))
% 293.42/42.87
% 293.42/42.87 [14339] CLOSURE : ~left_apart_point(A39_734_9, L40_734_9)
% 293.42/42.87
% 293.42/42.87 [14169] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [14359] ~(left_apart_point(A39_741_9, L40_741_9) | left_apart_point(A39_741_9, reverse_line(L40_741_9)))
% 293.42/42.87
% 293.42/42.87 [14359] ALPHA_NOT_OR : ~(left_apart_point(A39_741_9, L40_741_9) | left_apart_point(A39_741_9, reverse_line(L40_741_9)))
% 293.42/42.87 -> [14362] ~left_apart_point(A39_741_9, L40_741_9), ~left_apart_point(A39_741_9, reverse_line(L40_741_9))
% 293.42/42.87
% 293.42/42.87 [14362] CLOSURE : ~left_apart_point(A39_741_9, L40_741_9)
% 293.42/42.87
% 293.42/42.87 [14164] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [14229] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87 -> [14230] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [14230] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [14229] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [640] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.87 -> [1124] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.87
% 293.42/42.87 [1124] 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))))
% 293.42/42.87 -> [1830] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.87
% 293.42/42.87 [1830] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.87 -> [1832] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.87 -> [1833] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.87
% 293.42/42.87 [1832] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.87
% 293.42/42.87 [1833] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.87 -> [5148] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.87 -> [5149] distinct_points(skolem_A8080, skolem_B8181)
% 293.42/42.87
% 293.42/42.87 [5148] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.87
% 293.42/42.87 [5149] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.87 -> [6784] ~distinct_lines(N27_235_3, N27_235_3)
% 293.42/42.87
% 293.42/42.87 [6784] 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))))
% 293.42/42.87 -> [7288] (distinct_lines(N27_235_3, N27_235_3) => (distinct_lines(N27_235_3, N27_235_3) | distinct_lines(N27_235_3, N27_235_3)))
% 293.42/42.87
% 293.42/42.87 [7288] BETA_IMPLY : (distinct_lines(N27_235_3, N27_235_3) => (distinct_lines(N27_235_3, N27_235_3) | distinct_lines(N27_235_3, N27_235_3)))
% 293.42/42.87 -> [7289] ~distinct_lines(N27_235_3, N27_235_3)
% 293.42/42.87 -> [7290] (distinct_lines(N27_235_3, N27_235_3) | distinct_lines(N27_235_3, N27_235_3))
% 293.42/42.87
% 293.42/42.87 [7290] BETA_OR : (distinct_lines(N27_235_3, N27_235_3) | distinct_lines(N27_235_3, N27_235_3))
% 293.42/42.87 -> [7291] distinct_lines(N27_235_3, N27_235_3)
% 293.42/42.87 -> [7292] distinct_lines(N27_235_3, N27_235_3)
% 293.42/42.87
% 293.42/42.87 [7292] CLOSURE : distinct_lines(N27_235_3, N27_235_3)
% 293.42/42.87
% 293.42/42.87 [7291] CLOSURE : distinct_lines(N27_235_3, N27_235_3)
% 293.42/42.87
% 293.42/42.87 [7289] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.87 -> [7599] ~unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.87
% 293.42/42.87 [7599] 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))))
% 293.42/42.87 -> [8053] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.87
% 293.42/42.87 [8053] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.87 -> [8056] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.87 -> [8057] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.87
% 293.42/42.87 [8056] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.87
% 293.42/42.87 [8057] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.87 -> [10441] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.87 -> [10442] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.87
% 293.42/42.87 [10442] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.87
% 293.42/42.87 [10441] 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))))))
% 293.42/42.87 -> [13624] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_199_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_199_6))) | (unequally_directed_lines(skolem_N7979, N34_199_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_199_6)))))
% 293.42/42.87
% 293.42/42.87 [13624] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_199_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_199_6))) | (unequally_directed_lines(skolem_N7979, N34_199_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_199_6)))))
% 293.42/42.87 -> [13628] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.87 -> [13629] ((unequally_directed_lines(skolem_M7878, N34_199_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_199_6))) | (unequally_directed_lines(skolem_N7979, N34_199_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_199_6))))
% 293.42/42.87
% 293.42/42.87 [13628] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.87 -> [13692] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.87 -> [13693] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [13693] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [13692] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.87
% 293.42/42.87 [13629] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_199_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_199_6))) | (unequally_directed_lines(skolem_N7979, N34_199_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_199_6))))
% 293.42/42.87 -> [22940] (unequally_directed_lines(skolem_M7878, N34_199_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_199_6)))
% 293.42/42.87 -> [22941] (unequally_directed_lines(skolem_N7979, N34_199_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_199_6)))
% 293.42/42.87
% 293.42/42.87 [22940] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_199_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_199_6)))
% 293.42/42.87 -> [22961] unequally_directed_lines(skolem_M7878, N34_199_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_199_6))
% 293.42/42.87
% 293.42/42.87 [22961] 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)))))
% 293.42/42.87 -> [23176] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.87
% 293.42/42.87 [23176] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.87 -> [23179] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.87 -> [23180] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.87
% 293.42/42.87 [23179] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.87 -> [23237] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.87 -> [23238] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.87
% 293.42/42.87 [23238] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [23371] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.87
% 293.42/42.87 [23371] 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))))
% 293.42/42.87 -> [23372] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [23373] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87
% 293.42/42.87 [23373] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [23376] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87 -> [23377] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [23377] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [23525] ~(left_apart_point(A39_1893_9, L40_1893_9) | left_apart_point(A39_1893_9, reverse_line(L40_1893_9)))
% 293.42/42.87
% 293.42/42.87 [23525] ALPHA_NOT_OR : ~(left_apart_point(A39_1893_9, L40_1893_9) | left_apart_point(A39_1893_9, reverse_line(L40_1893_9)))
% 293.42/42.87 -> [23527] ~left_apart_point(A39_1893_9, L40_1893_9), ~left_apart_point(A39_1893_9, reverse_line(L40_1893_9))
% 293.42/42.87
% 293.42/42.87 [23527] CLOSURE : ~left_apart_point(A39_1893_9, L40_1893_9)
% 293.42/42.87
% 293.42/42.87 [23376] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [23579] ~(left_apart_point(A39_1901_9, L40_1901_9) | left_apart_point(A39_1901_9, reverse_line(L40_1901_9)))
% 293.42/42.87
% 293.42/42.87 [23579] ALPHA_NOT_OR : ~(left_apart_point(A39_1901_9, L40_1901_9) | left_apart_point(A39_1901_9, reverse_line(L40_1901_9)))
% 293.42/42.87 -> [23583] ~left_apart_point(A39_1901_9, L40_1901_9), ~left_apart_point(A39_1901_9, reverse_line(L40_1901_9))
% 293.42/42.87
% 293.42/42.87 [23583] CLOSURE : ~left_apart_point(A39_1901_9, L40_1901_9)
% 293.42/42.87
% 293.42/42.87 [23372] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [23445] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87 -> [23446] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [23446] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [23445] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [23237] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [23429] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.87
% 293.42/42.87 [23429] 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))))
% 293.42/42.87 -> [23432] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [23433] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87
% 293.42/42.87 [23433] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [23438] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87 -> [23439] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [23439] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [23569] ~(left_apart_point(A39_1900_9, L40_1900_9) | left_apart_point(A39_1900_9, reverse_line(L40_1900_9)))
% 293.42/42.87
% 293.42/42.87 [23569] ALPHA_NOT_OR : ~(left_apart_point(A39_1900_9, L40_1900_9) | left_apart_point(A39_1900_9, reverse_line(L40_1900_9)))
% 293.42/42.87 -> [23576] ~left_apart_point(A39_1900_9, L40_1900_9), ~left_apart_point(A39_1900_9, reverse_line(L40_1900_9))
% 293.42/42.87
% 293.42/42.87 [23576] CLOSURE : ~left_apart_point(A39_1900_9, L40_1900_9)
% 293.42/42.87
% 293.42/42.87 [23438] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [23640] ~(left_apart_point(A39_1907_9, L40_1907_9) | left_apart_point(A39_1907_9, reverse_line(L40_1907_9)))
% 293.42/42.87
% 293.42/42.87 [23640] ALPHA_NOT_OR : ~(left_apart_point(A39_1907_9, L40_1907_9) | left_apart_point(A39_1907_9, reverse_line(L40_1907_9)))
% 293.42/42.87 -> [23641] ~left_apart_point(A39_1907_9, L40_1907_9), ~left_apart_point(A39_1907_9, reverse_line(L40_1907_9))
% 293.42/42.87
% 293.42/42.87 [23641] CLOSURE : ~left_apart_point(A39_1907_9, L40_1907_9)
% 293.42/42.87
% 293.42/42.87 [23432] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [23480] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87 -> [23481] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [23481] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [23480] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [23180] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.87 -> [23182] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.87 -> [23183] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.87
% 293.42/42.87 [23182] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.87
% 293.42/42.87 [23183] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [23382] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.87
% 293.42/42.87 [23382] 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))))
% 293.42/42.87 -> [23383] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [23384] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87
% 293.42/42.87 [23384] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [23390] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87 -> [23391] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [23390] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [23593] ~(left_apart_point(A39_1902_9, L40_1902_9) | left_apart_point(A39_1902_9, reverse_line(L40_1902_9)))
% 293.42/42.87
% 293.42/42.87 [23593] ALPHA_NOT_OR : ~(left_apart_point(A39_1902_9, L40_1902_9) | left_apart_point(A39_1902_9, reverse_line(L40_1902_9)))
% 293.42/42.87 -> [23594] ~left_apart_point(A39_1902_9, L40_1902_9), ~left_apart_point(A39_1902_9, reverse_line(L40_1902_9))
% 293.42/42.87
% 293.42/42.87 [23594] CLOSURE : ~left_apart_point(A39_1902_9, L40_1902_9)
% 293.42/42.87
% 293.42/42.87 [23391] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [23530] ~(left_apart_point(A39_1895_9, L40_1895_9) | left_apart_point(A39_1895_9, reverse_line(L40_1895_9)))
% 293.42/42.87
% 293.42/42.87 [23530] ALPHA_NOT_OR : ~(left_apart_point(A39_1895_9, L40_1895_9) | left_apart_point(A39_1895_9, reverse_line(L40_1895_9)))
% 293.42/42.87 -> [23531] ~left_apart_point(A39_1895_9, L40_1895_9), ~left_apart_point(A39_1895_9, reverse_line(L40_1895_9))
% 293.42/42.87
% 293.42/42.87 [23531] CLOSURE : ~left_apart_point(A39_1895_9, L40_1895_9)
% 293.42/42.87
% 293.42/42.87 [23383] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [23458] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87 -> [23459] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [23459] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [23458] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [22941] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_199_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_199_6)))
% 293.42/42.87 -> [22945] unequally_directed_lines(skolem_N7979, N34_199_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_199_6))
% 293.42/42.87
% 293.42/42.87 [22945] 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)))))
% 293.42/42.87 -> [23132] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.87
% 293.42/42.87 [23132] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.87 -> [23133] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.87 -> [23134] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.87
% 293.42/42.87 [23133] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.87 -> [23191] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.87 -> [23192] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.87
% 293.42/42.87 [23191] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [23396] ((unequally_directed_lines(skolem_N7979, M38_958_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_958_8))) => (left_convergent_lines(skolem_N7979, M38_958_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_958_8))))
% 293.42/42.87
% 293.42/42.87 [23396] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_958_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_958_8))) => (left_convergent_lines(skolem_N7979, M38_958_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_958_8))))
% 293.42/42.87 -> [23398] ~(unequally_directed_lines(skolem_N7979, M38_958_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_958_8)))
% 293.42/42.87 -> [23399] (left_convergent_lines(skolem_N7979, M38_958_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_958_8)))
% 293.42/42.87
% 293.42/42.87 [23399] BETA_OR : (left_convergent_lines(skolem_N7979, M38_958_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_958_8)))
% 293.42/42.87 -> [23406] left_convergent_lines(skolem_N7979, M38_958_8)
% 293.42/42.87 -> [23407] left_convergent_lines(skolem_N7979, reverse_line(M38_958_8))
% 293.42/42.87
% 293.42/42.87 [23407] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [23547] ~(left_apart_point(A39_1897_9, L40_1897_9) | left_apart_point(A39_1897_9, reverse_line(L40_1897_9)))
% 293.42/42.87
% 293.42/42.87 [23547] ALPHA_NOT_OR : ~(left_apart_point(A39_1897_9, L40_1897_9) | left_apart_point(A39_1897_9, reverse_line(L40_1897_9)))
% 293.42/42.87 -> [23548] ~left_apart_point(A39_1897_9, L40_1897_9), ~left_apart_point(A39_1897_9, reverse_line(L40_1897_9))
% 293.42/42.87
% 293.42/42.87 [23548] CLOSURE : ~left_apart_point(A39_1897_9, L40_1897_9)
% 293.42/42.87
% 293.42/42.87 [23406] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [23628] ~(left_apart_point(A39_1905_9, L40_1905_9) | left_apart_point(A39_1905_9, reverse_line(L40_1905_9)))
% 293.42/42.87
% 293.42/42.87 [23628] ALPHA_NOT_OR : ~(left_apart_point(A39_1905_9, L40_1905_9) | left_apart_point(A39_1905_9, reverse_line(L40_1905_9)))
% 293.42/42.87 -> [23629] ~left_apart_point(A39_1905_9, L40_1905_9), ~left_apart_point(A39_1905_9, reverse_line(L40_1905_9))
% 293.42/42.87
% 293.42/42.87 [23629] CLOSURE : ~left_apart_point(A39_1905_9, L40_1905_9)
% 293.42/42.87
% 293.42/42.87 [23398] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_958_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_958_8)))
% 293.42/42.87 -> [23466] ~unequally_directed_lines(skolem_N7979, M38_958_8)
% 293.42/42.87 -> [23467] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_958_8))
% 293.42/42.87
% 293.42/42.87 [23467] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_958_8))
% 293.42/42.87
% 293.42/42.87 [23466] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_958_8)
% 293.42/42.87
% 293.42/42.87 [23192] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [23349] ((unequally_directed_lines(skolem_N7979, M38_952_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_952_8))) => (left_convergent_lines(skolem_N7979, M38_952_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_952_8))))
% 293.42/42.87
% 293.42/42.87 [23349] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_952_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_952_8))) => (left_convergent_lines(skolem_N7979, M38_952_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_952_8))))
% 293.42/42.87 -> [23350] ~(unequally_directed_lines(skolem_N7979, M38_952_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_952_8)))
% 293.42/42.87 -> [23351] (left_convergent_lines(skolem_N7979, M38_952_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_952_8)))
% 293.42/42.87
% 293.42/42.87 [23350] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_952_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_952_8)))
% 293.42/42.87 -> [23413] ~unequally_directed_lines(skolem_N7979, M38_952_8)
% 293.42/42.87 -> [23414] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_952_8))
% 293.42/42.87
% 293.42/42.87 [23414] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_952_8))
% 293.42/42.87
% 293.42/42.87 [23413] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_952_8)
% 293.42/42.87
% 293.42/42.87 [23351] BETA_OR : (left_convergent_lines(skolem_N7979, M38_952_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_952_8)))
% 293.42/42.87 -> [23352] left_convergent_lines(skolem_N7979, M38_952_8)
% 293.42/42.87 -> [23353] left_convergent_lines(skolem_N7979, reverse_line(M38_952_8))
% 293.42/42.87
% 293.42/42.87 [23352] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [24022] ~(left_apart_point(A39_1967_9, L40_1967_9) | left_apart_point(A39_1967_9, reverse_line(L40_1967_9)))
% 293.42/42.87
% 293.42/42.87 [24022] ALPHA_NOT_OR : ~(left_apart_point(A39_1967_9, L40_1967_9) | left_apart_point(A39_1967_9, reverse_line(L40_1967_9)))
% 293.42/42.87 -> [24025] ~left_apart_point(A39_1967_9, L40_1967_9), ~left_apart_point(A39_1967_9, reverse_line(L40_1967_9))
% 293.42/42.87
% 293.42/42.87 [24025] CLOSURE : ~left_apart_point(A39_1967_9, L40_1967_9)
% 293.42/42.87
% 293.42/42.87 [23353] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [24041] ~(left_apart_point(A39_1975_9, L40_1975_9) | left_apart_point(A39_1975_9, reverse_line(L40_1975_9)))
% 293.42/42.87
% 293.42/42.87 [24041] ALPHA_NOT_OR : ~(left_apart_point(A39_1975_9, L40_1975_9) | left_apart_point(A39_1975_9, reverse_line(L40_1975_9)))
% 293.42/42.87 -> [24044] ~left_apart_point(A39_1975_9, L40_1975_9), ~left_apart_point(A39_1975_9, reverse_line(L40_1975_9))
% 293.42/42.87
% 293.42/42.87 [24044] CLOSURE : ~left_apart_point(A39_1975_9, L40_1975_9)
% 293.42/42.87
% 293.42/42.87 [23134] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.87 -> [23139] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.87 -> [23140] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.87
% 293.42/42.87 [23139] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.87
% 293.42/42.87 [23140] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [23273] ((unequally_directed_lines(skolem_N7979, M38_950_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_950_8))) => (left_convergent_lines(skolem_N7979, M38_950_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_950_8))))
% 293.42/42.87
% 293.42/42.87 [23273] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_950_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_950_8))) => (left_convergent_lines(skolem_N7979, M38_950_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_950_8))))
% 293.42/42.87 -> [23277] ~(unequally_directed_lines(skolem_N7979, M38_950_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_950_8)))
% 293.42/42.87 -> [23278] (left_convergent_lines(skolem_N7979, M38_950_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_950_8)))
% 293.42/42.87
% 293.42/42.87 [23277] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_950_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_950_8)))
% 293.42/42.87 -> [23299] ~unequally_directed_lines(skolem_N7979, M38_950_8)
% 293.42/42.87 -> [23300] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_950_8))
% 293.42/42.87
% 293.42/42.87 [23300] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_950_8))
% 293.42/42.87
% 293.42/42.87 [23299] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_950_8)
% 293.42/42.87
% 293.42/42.87 [23278] BETA_OR : (left_convergent_lines(skolem_N7979, M38_950_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_950_8)))
% 293.42/42.87 -> [23282] left_convergent_lines(skolem_N7979, M38_950_8)
% 293.42/42.87 -> [23283] left_convergent_lines(skolem_N7979, reverse_line(M38_950_8))
% 293.42/42.87
% 293.42/42.87 [23282] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [23339] ~(left_apart_point(A39_1869_9, L40_1869_9) | left_apart_point(A39_1869_9, reverse_line(L40_1869_9)))
% 293.42/42.87
% 293.42/42.87 [23339] ALPHA_NOT_OR : ~(left_apart_point(A39_1869_9, L40_1869_9) | left_apart_point(A39_1869_9, reverse_line(L40_1869_9)))
% 293.42/42.87 -> [23341] ~left_apart_point(A39_1869_9, L40_1869_9), ~left_apart_point(A39_1869_9, reverse_line(L40_1869_9))
% 293.42/42.87
% 293.42/42.87 [23341] CLOSURE : ~left_apart_point(A39_1869_9, L40_1869_9)
% 293.42/42.87
% 293.42/42.87 [23283] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [24842] ~(left_apart_point(A39_2094_9, L40_2094_9) | left_apart_point(A39_2094_9, reverse_line(L40_2094_9)))
% 293.42/42.87
% 293.42/42.87 [24842] ALPHA_NOT_OR : ~(left_apart_point(A39_2094_9, L40_2094_9) | left_apart_point(A39_2094_9, reverse_line(L40_2094_9)))
% 293.42/42.87 -> [24843] ~left_apart_point(A39_2094_9, L40_2094_9), ~left_apart_point(A39_2094_9, reverse_line(L40_2094_9))
% 293.42/42.87
% 293.42/42.87 [24843] CLOSURE : ~left_apart_point(A39_2094_9, L40_2094_9)
% 293.42/42.87
% 293.42/42.87 [208] BETA_NOT_AND : ~(((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 293.42/42.87 -> [459] ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.87 -> [460] ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.42/42.87
% 293.42/42.87 [460] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.42/42.87 -> [464] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.42/42.87
% 293.42/42.87 [464] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.42/42.87 -> [1099] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.87 -> [1100] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.87
% 293.42/42.87 [1100] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.87 -> [1107] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.87
% 293.42/42.87 [1107] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.87 -> [1112] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.42/42.87 -> [1113] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [1113] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.87 -> [1383] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.87
% 293.42/42.87 [1383] 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))))
% 293.42/42.87 -> [1424] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.87
% 293.42/42.87 [1424] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.87 -> [1428] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.87 -> [1429] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.87
% 293.42/42.87 [1428] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.87
% 293.42/42.87 [1429] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.87 -> [4412] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.87 -> [4413] distinct_points(skolem_A8080, skolem_B8181)
% 293.42/42.87
% 293.42/42.87 [4412] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.87
% 293.42/42.87 [4413] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.87 -> [4710] ~distinct_lines(N27_121_3, N27_121_3)
% 293.42/42.87
% 293.42/42.87 [4710] 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))))
% 293.42/42.87 -> [4736] (distinct_lines(N27_121_3, N27_121_3) => (distinct_lines(N27_121_3, N27_121_3) | distinct_lines(N27_121_3, N27_121_3)))
% 293.42/42.87
% 293.42/42.87 [4736] 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)))
% 293.42/42.87 -> [4739] ~distinct_lines(N27_121_3, N27_121_3)
% 293.42/42.87 -> [4740] (distinct_lines(N27_121_3, N27_121_3) | distinct_lines(N27_121_3, N27_121_3))
% 293.42/42.87
% 293.42/42.87 [4740] BETA_OR : (distinct_lines(N27_121_3, N27_121_3) | distinct_lines(N27_121_3, N27_121_3))
% 293.42/42.87 -> [4743] distinct_lines(N27_121_3, N27_121_3)
% 293.42/42.87 -> [4744] distinct_lines(N27_121_3, N27_121_3)
% 293.42/42.87
% 293.42/42.87 [4744] CLOSURE : distinct_lines(N27_121_3, N27_121_3)
% 293.42/42.87
% 293.42/42.87 [4743] CLOSURE : distinct_lines(N27_121_3, N27_121_3)
% 293.42/42.87
% 293.42/42.87 [4739] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.87 -> [4943] ~unequally_directed_lines(skolem_L7777, skolem_L7777)
% 293.42/42.87
% 293.42/42.87 [4943] 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))))
% 293.42/42.87 -> [5066] (unequally_directed_lines(skolem_L7777, skolem_M7878) => (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_M7878, skolem_L7777)))
% 293.42/42.87
% 293.42/42.87 [5066] BETA_IMPLY : (unequally_directed_lines(skolem_L7777, skolem_M7878) => (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_M7878, skolem_L7777)))
% 293.42/42.87 -> [5069] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87 -> [5070] (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_M7878, skolem_L7777))
% 293.42/42.87
% 293.42/42.87 [5069] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [5070] BETA_OR : (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_M7878, skolem_L7777))
% 293.42/42.87 -> [6844] unequally_directed_lines(skolem_L7777, skolem_L7777)
% 293.42/42.87 -> [6845] unequally_directed_lines(skolem_M7878, skolem_L7777)
% 293.42/42.87
% 293.42/42.87 [6844] CLOSURE : unequally_directed_lines(skolem_L7777, skolem_L7777)
% 293.42/42.87
% 293.42/42.87 [6845] 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))))))
% 293.42/42.87 -> [8723] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_84_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_84_6))) | (unequally_directed_lines(skolem_N7979, N34_84_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_84_6)))))
% 293.42/42.87
% 293.42/42.87 [8723] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_84_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_84_6))) | (unequally_directed_lines(skolem_N7979, N34_84_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_84_6)))))
% 293.42/42.87 -> [8726] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.87 -> [8727] ((unequally_directed_lines(skolem_M7878, N34_84_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_84_6))) | (unequally_directed_lines(skolem_N7979, N34_84_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_84_6))))
% 293.42/42.87
% 293.42/42.87 [8726] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.87 -> [8743] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.87 -> [8744] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [8743] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.87
% 293.42/42.87 [8744] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [8727] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_84_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_84_6))) | (unequally_directed_lines(skolem_N7979, N34_84_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_84_6))))
% 293.42/42.87 -> [10917] (unequally_directed_lines(skolem_M7878, N34_84_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_84_6)))
% 293.42/42.87 -> [10918] (unequally_directed_lines(skolem_N7979, N34_84_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_84_6)))
% 293.42/42.87
% 293.42/42.87 [10918] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_84_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_84_6)))
% 293.42/42.87 -> [10919] unequally_directed_lines(skolem_N7979, N34_84_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_84_6))
% 293.42/42.87
% 293.42/42.87 [10919] 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)))))
% 293.42/42.87 -> [11156] ((line(skolem_L7777) & line(skolem_L7777)) => (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777))))
% 293.42/42.87
% 293.42/42.87 [11156] BETA_IMPLY : ((line(skolem_L7777) & line(skolem_L7777)) => (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777))))
% 293.42/42.87 -> [11159] ~(line(skolem_L7777) & line(skolem_L7777))
% 293.42/42.87 -> [11160] (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777)))
% 293.42/42.87
% 293.42/42.87 [11159] BETA_NOT_AND : ~(line(skolem_L7777) & line(skolem_L7777))
% 293.42/42.87 -> [11262] ~line(skolem_L7777)
% 293.42/42.87 -> [11263] ~line(skolem_L7777)
% 293.42/42.87
% 293.42/42.87 [11263] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [11375] ((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))))
% 293.42/42.87
% 293.42/42.87 [11375] 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))))
% 293.42/42.87 -> [11376] ~(unequally_directed_lines(skolem_N7979, M38_222_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_222_8)))
% 293.42/42.87 -> [11377] (left_convergent_lines(skolem_N7979, M38_222_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_222_8)))
% 293.42/42.87
% 293.42/42.87 [11377] BETA_OR : (left_convergent_lines(skolem_N7979, M38_222_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_222_8)))
% 293.42/42.87 -> [11380] left_convergent_lines(skolem_N7979, M38_222_8)
% 293.42/42.87 -> [11381] left_convergent_lines(skolem_N7979, reverse_line(M38_222_8))
% 293.42/42.87
% 293.42/42.87 [11381] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [11702] ~(left_apart_point(A39_435_9, L40_435_9) | left_apart_point(A39_435_9, reverse_line(L40_435_9)))
% 293.42/42.87
% 293.42/42.87 [11702] ALPHA_NOT_OR : ~(left_apart_point(A39_435_9, L40_435_9) | left_apart_point(A39_435_9, reverse_line(L40_435_9)))
% 293.42/42.87 -> [11707] ~left_apart_point(A39_435_9, L40_435_9), ~left_apart_point(A39_435_9, reverse_line(L40_435_9))
% 293.42/42.87
% 293.42/42.87 [11707] CLOSURE : ~left_apart_point(A39_435_9, L40_435_9)
% 293.42/42.87
% 293.42/42.87 [11380] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [11770] ~(left_apart_point(A39_445_9, L40_445_9) | left_apart_point(A39_445_9, reverse_line(L40_445_9)))
% 293.42/42.87
% 293.42/42.87 [11770] ALPHA_NOT_OR : ~(left_apart_point(A39_445_9, L40_445_9) | left_apart_point(A39_445_9, reverse_line(L40_445_9)))
% 293.42/42.87 -> [11774] ~left_apart_point(A39_445_9, L40_445_9), ~left_apart_point(A39_445_9, reverse_line(L40_445_9))
% 293.42/42.87
% 293.42/42.87 [11774] CLOSURE : ~left_apart_point(A39_445_9, L40_445_9)
% 293.42/42.87
% 293.42/42.87 [11376] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_222_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_222_8)))
% 293.42/42.87 -> [11434] ~unequally_directed_lines(skolem_N7979, M38_222_8)
% 293.42/42.87 -> [11435] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_222_8))
% 293.42/42.87
% 293.42/42.87 [11435] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_222_8))
% 293.42/42.87
% 293.42/42.87 [11434] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_222_8)
% 293.42/42.87
% 293.42/42.87 [11262] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [11419] ((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))))
% 293.42/42.87
% 293.42/42.87 [11419] 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))))
% 293.42/42.87 -> [11422] ~(unequally_directed_lines(skolem_N7979, M38_225_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_225_8)))
% 293.42/42.87 -> [11423] (left_convergent_lines(skolem_N7979, M38_225_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_225_8)))
% 293.42/42.87
% 293.42/42.87 [11423] BETA_OR : (left_convergent_lines(skolem_N7979, M38_225_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_225_8)))
% 293.42/42.87 -> [11427] left_convergent_lines(skolem_N7979, M38_225_8)
% 293.42/42.87 -> [11428] left_convergent_lines(skolem_N7979, reverse_line(M38_225_8))
% 293.42/42.87
% 293.42/42.87 [11428] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [11764] ~(left_apart_point(A39_443_9, L40_443_9) | left_apart_point(A39_443_9, reverse_line(L40_443_9)))
% 293.42/42.87
% 293.42/42.87 [11764] ALPHA_NOT_OR : ~(left_apart_point(A39_443_9, L40_443_9) | left_apart_point(A39_443_9, reverse_line(L40_443_9)))
% 293.42/42.87 -> [11765] ~left_apart_point(A39_443_9, L40_443_9), ~left_apart_point(A39_443_9, reverse_line(L40_443_9))
% 293.42/42.87
% 293.42/42.87 [11765] CLOSURE : ~left_apart_point(A39_443_9, L40_443_9)
% 293.42/42.87
% 293.42/42.87 [11427] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [11901] ~(left_apart_point(A39_474_9, L40_474_9) | left_apart_point(A39_474_9, reverse_line(L40_474_9)))
% 293.42/42.87
% 293.42/42.87 [11901] ALPHA_NOT_OR : ~(left_apart_point(A39_474_9, L40_474_9) | left_apart_point(A39_474_9, reverse_line(L40_474_9)))
% 293.42/42.87 -> [11903] ~left_apart_point(A39_474_9, L40_474_9), ~left_apart_point(A39_474_9, reverse_line(L40_474_9))
% 293.42/42.87
% 293.42/42.87 [11903] CLOSURE : ~left_apart_point(A39_474_9, L40_474_9)
% 293.42/42.87
% 293.42/42.87 [11422] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_225_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_225_8)))
% 293.42/42.87 -> [11517] ~unequally_directed_lines(skolem_N7979, M38_225_8)
% 293.42/42.87 -> [11518] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_225_8))
% 293.42/42.87
% 293.42/42.87 [11518] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_225_8))
% 293.42/42.87
% 293.42/42.87 [11517] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_225_8)
% 293.42/42.87
% 293.42/42.87 [11160] BETA_OR : (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777)))
% 293.42/42.87 -> [11166] unequally_directed_lines(skolem_L7777, skolem_L7777)
% 293.42/42.87 -> [11167] unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777))
% 293.42/42.87
% 293.42/42.87 [11166] CLOSURE : unequally_directed_lines(skolem_L7777, skolem_L7777)
% 293.42/42.87
% 293.42/42.87 [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)))))
% 293.42/42.87 -> [11439] ((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))))
% 293.42/42.87
% 293.42/42.87 [11439] 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))))
% 293.42/42.87 -> [11441] ~(unequally_directed_lines(skolem_N7979, M38_226_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_226_8)))
% 293.42/42.87 -> [11442] (left_convergent_lines(skolem_N7979, M38_226_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_226_8)))
% 293.42/42.87
% 293.42/42.87 [11442] BETA_OR : (left_convergent_lines(skolem_N7979, M38_226_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_226_8)))
% 293.42/42.87 -> [11443] left_convergent_lines(skolem_N7979, M38_226_8)
% 293.42/42.87 -> [11444] left_convergent_lines(skolem_N7979, reverse_line(M38_226_8))
% 293.42/42.87
% 293.42/42.87 [11444] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [11782] ~(left_apart_point(A39_446_9, L40_446_9) | left_apart_point(A39_446_9, reverse_line(L40_446_9)))
% 293.42/42.87
% 293.42/42.87 [11782] ALPHA_NOT_OR : ~(left_apart_point(A39_446_9, L40_446_9) | left_apart_point(A39_446_9, reverse_line(L40_446_9)))
% 293.42/42.87 -> [11783] ~left_apart_point(A39_446_9, L40_446_9), ~left_apart_point(A39_446_9, reverse_line(L40_446_9))
% 293.42/42.87
% 293.42/42.87 [11783] CLOSURE : ~left_apart_point(A39_446_9, L40_446_9)
% 293.42/42.87
% 293.42/42.87 [11443] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [11913] ~(left_apart_point(A39_476_9, L40_476_9) | left_apart_point(A39_476_9, reverse_line(L40_476_9)))
% 293.42/42.87
% 293.42/42.87 [11913] ALPHA_NOT_OR : ~(left_apart_point(A39_476_9, L40_476_9) | left_apart_point(A39_476_9, reverse_line(L40_476_9)))
% 293.42/42.87 -> [11914] ~left_apart_point(A39_476_9, L40_476_9), ~left_apart_point(A39_476_9, reverse_line(L40_476_9))
% 293.42/42.87
% 293.42/42.87 [11914] CLOSURE : ~left_apart_point(A39_476_9, L40_476_9)
% 293.42/42.87
% 293.42/42.87 [11441] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_226_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_226_8)))
% 293.42/42.87 -> [11533] ~unequally_directed_lines(skolem_N7979, M38_226_8)
% 293.42/42.87 -> [11534] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_226_8))
% 293.42/42.87
% 293.42/42.87 [11534] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_226_8))
% 293.42/42.87
% 293.42/42.87 [11533] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_226_8)
% 293.42/42.87
% 293.42/42.87 [10917] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_84_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_84_6)))
% 293.42/42.87 -> [10957] unequally_directed_lines(skolem_M7878, N34_84_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_84_6))
% 293.42/42.87
% 293.42/42.87 [10957] 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)))))
% 293.42/42.87 -> [11246] ((line(skolem_L7777) & line(skolem_L7777)) => (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777))))
% 293.42/42.87
% 293.42/42.87 [11246] BETA_IMPLY : ((line(skolem_L7777) & line(skolem_L7777)) => (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777))))
% 293.42/42.87 -> [11247] ~(line(skolem_L7777) & line(skolem_L7777))
% 293.42/42.87 -> [11248] (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777)))
% 293.42/42.87
% 293.42/42.87 [11247] BETA_NOT_AND : ~(line(skolem_L7777) & line(skolem_L7777))
% 293.42/42.87 -> [11308] ~line(skolem_L7777)
% 293.42/42.87 -> [11309] ~line(skolem_L7777)
% 293.42/42.87
% 293.42/42.87 [11308] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [11471] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.87
% 293.42/42.87 [11471] 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))))
% 293.42/42.87 -> [11474] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [11475] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87
% 293.42/42.87 [11475] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [11482] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87 -> [11483] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [11483] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [11874] ~(left_apart_point(A39_465_9, L40_465_9) | left_apart_point(A39_465_9, reverse_line(L40_465_9)))
% 293.42/42.87
% 293.42/42.87 [11874] ALPHA_NOT_OR : ~(left_apart_point(A39_465_9, L40_465_9) | left_apart_point(A39_465_9, reverse_line(L40_465_9)))
% 293.42/42.87 -> [11875] ~left_apart_point(A39_465_9, L40_465_9), ~left_apart_point(A39_465_9, reverse_line(L40_465_9))
% 293.42/42.87
% 293.42/42.87 [11875] CLOSURE : ~left_apart_point(A39_465_9, L40_465_9)
% 293.42/42.87
% 293.42/42.87 [11482] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [11984] ~(left_apart_point(A39_483_9, L40_483_9) | left_apart_point(A39_483_9, reverse_line(L40_483_9)))
% 293.42/42.87
% 293.42/42.87 [11984] ALPHA_NOT_OR : ~(left_apart_point(A39_483_9, L40_483_9) | left_apart_point(A39_483_9, reverse_line(L40_483_9)))
% 293.42/42.87 -> [11988] ~left_apart_point(A39_483_9, L40_483_9), ~left_apart_point(A39_483_9, reverse_line(L40_483_9))
% 293.42/42.87
% 293.42/42.87 [11988] CLOSURE : ~left_apart_point(A39_483_9, L40_483_9)
% 293.42/42.87
% 293.42/42.87 [11474] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [11594] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87 -> [11595] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [11595] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [11594] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [11309] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [11487] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.87
% 293.42/42.87 [11487] 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))))
% 293.42/42.87 -> [11490] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [11491] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87
% 293.42/42.87 [11491] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [11496] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87 -> [11497] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [11497] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [11887] ~(left_apart_point(A39_469_9, L40_469_9) | left_apart_point(A39_469_9, reverse_line(L40_469_9)))
% 293.42/42.87
% 293.42/42.87 [11887] ALPHA_NOT_OR : ~(left_apart_point(A39_469_9, L40_469_9) | left_apart_point(A39_469_9, reverse_line(L40_469_9)))
% 293.42/42.87 -> [11888] ~left_apart_point(A39_469_9, L40_469_9), ~left_apart_point(A39_469_9, reverse_line(L40_469_9))
% 293.42/42.87
% 293.42/42.87 [11888] CLOSURE : ~left_apart_point(A39_469_9, L40_469_9)
% 293.42/42.87
% 293.42/42.87 [11496] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [12006] ~(left_apart_point(A39_484_9, L40_484_9) | left_apart_point(A39_484_9, reverse_line(L40_484_9)))
% 293.42/42.87
% 293.42/42.87 [12006] ALPHA_NOT_OR : ~(left_apart_point(A39_484_9, L40_484_9) | left_apart_point(A39_484_9, reverse_line(L40_484_9)))
% 293.42/42.87 -> [12007] ~left_apart_point(A39_484_9, L40_484_9), ~left_apart_point(A39_484_9, reverse_line(L40_484_9))
% 293.42/42.87
% 293.42/42.87 [12007] CLOSURE : ~left_apart_point(A39_484_9, L40_484_9)
% 293.42/42.87
% 293.42/42.87 [11490] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [11600] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87 -> [11601] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [11601] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [11600] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [11248] BETA_OR : (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777)))
% 293.42/42.87 -> [11251] unequally_directed_lines(skolem_L7777, skolem_L7777)
% 293.42/42.87 -> [11252] unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777))
% 293.42/42.87
% 293.42/42.87 [11251] CLOSURE : unequally_directed_lines(skolem_L7777, skolem_L7777)
% 293.42/42.87
% 293.42/42.87 [11252] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [11404] ((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))))
% 293.42/42.87
% 293.42/42.87 [11404] 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))))
% 293.42/42.87 -> [11407] ~(unequally_directed_lines(skolem_L7777, skolem_N7979) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979)))
% 293.42/42.87 -> [11408] (left_convergent_lines(skolem_L7777, skolem_N7979) | left_convergent_lines(skolem_L7777, reverse_line(skolem_N7979)))
% 293.42/42.87
% 293.42/42.87 [11408] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_N7979) | left_convergent_lines(skolem_L7777, reverse_line(skolem_N7979)))
% 293.42/42.87 -> [11413] left_convergent_lines(skolem_L7777, skolem_N7979)
% 293.42/42.87 -> [11414] left_convergent_lines(skolem_L7777, reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [11413] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [11891] ~(left_apart_point(A39_471_9, L40_471_9) | left_apart_point(A39_471_9, reverse_line(L40_471_9)))
% 293.42/42.87
% 293.42/42.87 [11891] ALPHA_NOT_OR : ~(left_apart_point(A39_471_9, L40_471_9) | left_apart_point(A39_471_9, reverse_line(L40_471_9)))
% 293.42/42.87 -> [11892] ~left_apart_point(A39_471_9, L40_471_9), ~left_apart_point(A39_471_9, reverse_line(L40_471_9))
% 293.42/42.87
% 293.42/42.87 [11892] CLOSURE : ~left_apart_point(A39_471_9, L40_471_9)
% 293.42/42.87
% 293.42/42.87 [11414] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [11895] ~(left_apart_point(A39_473_9, L40_473_9) | left_apart_point(A39_473_9, reverse_line(L40_473_9)))
% 293.42/42.87
% 293.42/42.87 [11895] ALPHA_NOT_OR : ~(left_apart_point(A39_473_9, L40_473_9) | left_apart_point(A39_473_9, reverse_line(L40_473_9)))
% 293.42/42.87 -> [11898] ~left_apart_point(A39_473_9, L40_473_9), ~left_apart_point(A39_473_9, reverse_line(L40_473_9))
% 293.42/42.87
% 293.42/42.87 [11898] CLOSURE : ~left_apart_point(A39_473_9, L40_473_9)
% 293.42/42.87
% 293.42/42.87 [11407] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_N7979) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979)))
% 293.42/42.87 -> [11505] ~unequally_directed_lines(skolem_L7777, skolem_N7979)
% 293.42/42.87 -> [11506] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [11506] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [11505] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_N7979)
% 293.42/42.87
% 293.42/42.87 [1112] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.87 -> [1875] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.87
% 293.42/42.87 [1875] 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))))
% 293.42/42.87 -> [3053] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.87
% 293.42/42.87 [3053] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.87 -> [3056] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.87 -> [3057] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.87
% 293.42/42.87 [3056] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.87
% 293.42/42.87 [3057] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.87 -> [3302] distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.87 -> [3303] distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.87
% 293.42/42.87 [3303] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.87
% 293.42/42.87 [3302] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.87 -> [3393] ~distinct_lines(N27_55_3, N27_55_3)
% 293.42/42.87
% 293.42/42.87 [3393] 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))))
% 293.42/42.87 -> [3415] (distinct_lines(N27_55_3, N27_55_3) => (distinct_lines(N27_55_3, N27_55_3) | distinct_lines(N27_55_3, N27_55_3)))
% 293.42/42.87
% 293.42/42.87 [3415] BETA_IMPLY : (distinct_lines(N27_55_3, N27_55_3) => (distinct_lines(N27_55_3, N27_55_3) | distinct_lines(N27_55_3, N27_55_3)))
% 293.42/42.87 -> [3416] ~distinct_lines(N27_55_3, N27_55_3)
% 293.42/42.87 -> [3417] (distinct_lines(N27_55_3, N27_55_3) | distinct_lines(N27_55_3, N27_55_3))
% 293.42/42.87
% 293.42/42.87 [3417] BETA_OR : (distinct_lines(N27_55_3, N27_55_3) | distinct_lines(N27_55_3, N27_55_3))
% 293.42/42.87 -> [3418] distinct_lines(N27_55_3, N27_55_3)
% 293.42/42.87 -> [3419] distinct_lines(N27_55_3, N27_55_3)
% 293.42/42.87
% 293.42/42.87 [3418] CLOSURE : distinct_lines(N27_55_3, N27_55_3)
% 293.42/42.87
% 293.42/42.87 [3419] CLOSURE : distinct_lines(N27_55_3, N27_55_3)
% 293.42/42.87
% 293.42/42.87 [3416] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.87 -> [3446] ~unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.42/42.87
% 293.42/42.87 [3446] 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))))
% 293.42/42.87 -> [3483] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 293.42/42.87
% 293.42/42.87 [3483] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 293.42/42.87 -> [3484] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.42/42.87 -> [3485] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 293.42/42.87
% 293.42/42.87 [3484] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.42/42.87
% 293.42/42.87 [3485] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 293.42/42.87 -> [5652] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.42/42.87 -> [5653] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.42/42.87
% 293.42/42.87 [5653] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.42/42.87
% 293.42/42.87 [5652] 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))))))
% 293.42/42.87 -> [8306] ((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)))))
% 293.42/42.87
% 293.42/42.87 [8306] 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)))))
% 293.42/42.87 -> [8309] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.87 -> [8310] ((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))))
% 293.42/42.87
% 293.42/42.87 [8309] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.87 -> [8364] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.87 -> [8365] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [8365] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [8364] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.87
% 293.42/42.87 [8310] 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))))
% 293.42/42.87 -> [15724] (unequally_directed_lines(skolem_M7878, N34_78_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_78_6)))
% 293.42/42.87 -> [15725] (unequally_directed_lines(skolem_N7979, N34_78_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_78_6)))
% 293.42/42.87
% 293.42/42.87 [15724] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_78_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_78_6)))
% 293.42/42.87 -> [15774] unequally_directed_lines(skolem_M7878, N34_78_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_78_6))
% 293.42/42.87
% 293.42/42.87 [15774] 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)))))
% 293.42/42.87 -> [16097] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))))
% 293.42/42.87
% 293.42/42.87 [16097] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))))
% 293.42/42.87 -> [16099] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 293.42/42.87 -> [16100] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 293.42/42.87
% 293.42/42.87 [16099] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 293.42/42.87 -> [16143] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.42/42.87 -> [16144] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.42/42.87
% 293.42/42.87 [16144] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [16256] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.87
% 293.42/42.87 [16256] 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))))
% 293.42/42.87 -> [16259] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [16260] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87
% 293.42/42.87 [16260] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [16268] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87 -> [16269] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [16269] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [16366] ~(left_apart_point(A39_954_9, L40_954_9) | left_apart_point(A39_954_9, reverse_line(L40_954_9)))
% 293.42/42.87
% 293.42/42.87 [16366] ALPHA_NOT_OR : ~(left_apart_point(A39_954_9, L40_954_9) | left_apart_point(A39_954_9, reverse_line(L40_954_9)))
% 293.42/42.87 -> [16369] ~left_apart_point(A39_954_9, L40_954_9), ~left_apart_point(A39_954_9, reverse_line(L40_954_9))
% 293.42/42.87
% 293.42/42.87 [16369] CLOSURE : ~left_apart_point(A39_954_9, L40_954_9)
% 293.42/42.87
% 293.42/42.87 [16268] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [16419] ~(left_apart_point(A39_968_9, L40_968_9) | left_apart_point(A39_968_9, reverse_line(L40_968_9)))
% 293.42/42.87
% 293.42/42.87 [16419] ALPHA_NOT_OR : ~(left_apart_point(A39_968_9, L40_968_9) | left_apart_point(A39_968_9, reverse_line(L40_968_9)))
% 293.42/42.87 -> [16420] ~left_apart_point(A39_968_9, L40_968_9), ~left_apart_point(A39_968_9, reverse_line(L40_968_9))
% 293.42/42.87
% 293.42/42.87 [16420] CLOSURE : ~left_apart_point(A39_968_9, L40_968_9)
% 293.42/42.87
% 293.42/42.87 [16259] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [16312] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87 -> [16313] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [16313] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [16312] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [16143] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [16297] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.87
% 293.42/42.87 [16297] 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))))
% 293.42/42.87 -> [16300] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [16301] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87
% 293.42/42.87 [16301] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [16306] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87 -> [16307] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [16307] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [16387] ~(left_apart_point(A39_957_9, L40_957_9) | left_apart_point(A39_957_9, reverse_line(L40_957_9)))
% 293.42/42.87
% 293.42/42.87 [16387] ALPHA_NOT_OR : ~(left_apart_point(A39_957_9, L40_957_9) | left_apart_point(A39_957_9, reverse_line(L40_957_9)))
% 293.42/42.87 -> [16389] ~left_apart_point(A39_957_9, L40_957_9), ~left_apart_point(A39_957_9, reverse_line(L40_957_9))
% 293.42/42.87
% 293.42/42.87 [16389] CLOSURE : ~left_apart_point(A39_957_9, L40_957_9)
% 293.42/42.87
% 293.42/42.87 [16306] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [16412] ~(left_apart_point(A39_965_9, L40_965_9) | left_apart_point(A39_965_9, reverse_line(L40_965_9)))
% 293.42/42.87
% 293.42/42.87 [16412] ALPHA_NOT_OR : ~(left_apart_point(A39_965_9, L40_965_9) | left_apart_point(A39_965_9, reverse_line(L40_965_9)))
% 293.42/42.87 -> [16413] ~left_apart_point(A39_965_9, L40_965_9), ~left_apart_point(A39_965_9, reverse_line(L40_965_9))
% 293.42/42.87
% 293.42/42.87 [16413] CLOSURE : ~left_apart_point(A39_965_9, L40_965_9)
% 293.42/42.87
% 293.42/42.87 [16300] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [16327] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87 -> [16328] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [16328] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [16327] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [16100] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 293.42/42.87 -> [16109] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.42/42.87 -> [16110] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 293.42/42.87
% 293.42/42.87 [16109] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.42/42.87
% 293.42/42.87 [16110] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [16273] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.87
% 293.42/42.87 [16273] 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))))
% 293.42/42.87 -> [16275] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [16276] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87
% 293.42/42.87 [16276] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [16280] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87 -> [16281] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [16281] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [16374] ~(left_apart_point(A39_955_9, L40_955_9) | left_apart_point(A39_955_9, reverse_line(L40_955_9)))
% 293.42/42.87
% 293.42/42.87 [16374] ALPHA_NOT_OR : ~(left_apart_point(A39_955_9, L40_955_9) | left_apart_point(A39_955_9, reverse_line(L40_955_9)))
% 293.42/42.87 -> [16377] ~left_apart_point(A39_955_9, L40_955_9), ~left_apart_point(A39_955_9, reverse_line(L40_955_9))
% 293.42/42.87
% 293.42/42.87 [16377] CLOSURE : ~left_apart_point(A39_955_9, L40_955_9)
% 293.42/42.87
% 293.42/42.87 [16280] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [16398] ~(left_apart_point(A39_962_9, L40_962_9) | left_apart_point(A39_962_9, reverse_line(L40_962_9)))
% 293.42/42.87
% 293.42/42.87 [16398] ALPHA_NOT_OR : ~(left_apart_point(A39_962_9, L40_962_9) | left_apart_point(A39_962_9, reverse_line(L40_962_9)))
% 293.42/42.87 -> [16399] ~left_apart_point(A39_962_9, L40_962_9), ~left_apart_point(A39_962_9, reverse_line(L40_962_9))
% 293.42/42.87
% 293.42/42.87 [16399] CLOSURE : ~left_apart_point(A39_962_9, L40_962_9)
% 293.42/42.87
% 293.42/42.87 [16275] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [16316] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87 -> [16317] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [16317] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [16316] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [15725] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_78_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_78_6)))
% 293.42/42.87 -> [15732] unequally_directed_lines(skolem_N7979, N34_78_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_78_6))
% 293.42/42.87
% 293.42/42.87 [15732] 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)))))
% 293.42/42.87 -> [16025] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))))
% 293.42/42.87
% 293.42/42.87 [16025] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))))
% 293.42/42.87 -> [16031] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 293.42/42.87 -> [16032] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 293.42/42.87
% 293.42/42.87 [16031] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 293.42/42.87 -> [16060] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.42/42.87 -> [16061] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.42/42.87
% 293.42/42.87 [16060] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [16239] ((unequally_directed_lines(skolem_N7979, M38_501_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_501_8))) => (left_convergent_lines(skolem_N7979, M38_501_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_501_8))))
% 293.42/42.87
% 293.42/42.87 [16239] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_501_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_501_8))) => (left_convergent_lines(skolem_N7979, M38_501_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_501_8))))
% 293.42/42.87 -> [16243] ~(unequally_directed_lines(skolem_N7979, M38_501_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_501_8)))
% 293.42/42.87 -> [16244] (left_convergent_lines(skolem_N7979, M38_501_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_501_8)))
% 293.42/42.87
% 293.42/42.87 [16243] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_501_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_501_8)))
% 293.42/42.87 -> [16286] ~unequally_directed_lines(skolem_N7979, M38_501_8)
% 293.42/42.87 -> [16287] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_501_8))
% 293.42/42.87
% 293.42/42.87 [16287] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_501_8))
% 293.42/42.87
% 293.42/42.87 [16286] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_501_8)
% 293.42/42.87
% 293.42/42.87 [16244] BETA_OR : (left_convergent_lines(skolem_N7979, M38_501_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_501_8)))
% 293.42/42.87 -> [16246] left_convergent_lines(skolem_N7979, M38_501_8)
% 293.42/42.87 -> [16247] left_convergent_lines(skolem_N7979, reverse_line(M38_501_8))
% 293.42/42.87
% 293.42/42.87 [16247] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [16360] ~(left_apart_point(A39_952_9, L40_952_9) | left_apart_point(A39_952_9, reverse_line(L40_952_9)))
% 293.42/42.87
% 293.42/42.87 [16360] ALPHA_NOT_OR : ~(left_apart_point(A39_952_9, L40_952_9) | left_apart_point(A39_952_9, reverse_line(L40_952_9)))
% 293.42/42.87 -> [16362] ~left_apart_point(A39_952_9, L40_952_9), ~left_apart_point(A39_952_9, reverse_line(L40_952_9))
% 293.42/42.87
% 293.42/42.87 [16362] CLOSURE : ~left_apart_point(A39_952_9, L40_952_9)
% 293.42/42.87
% 293.42/42.87 [16246] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [16407] ~(left_apart_point(A39_964_9, L40_964_9) | left_apart_point(A39_964_9, reverse_line(L40_964_9)))
% 293.42/42.87
% 293.42/42.87 [16407] ALPHA_NOT_OR : ~(left_apart_point(A39_964_9, L40_964_9) | left_apart_point(A39_964_9, reverse_line(L40_964_9)))
% 293.42/42.87 -> [16408] ~left_apart_point(A39_964_9, L40_964_9), ~left_apart_point(A39_964_9, reverse_line(L40_964_9))
% 293.42/42.87
% 293.42/42.87 [16408] CLOSURE : ~left_apart_point(A39_964_9, L40_964_9)
% 293.42/42.87
% 293.42/42.87 [16061] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [16195] ((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))))
% 293.42/42.87
% 293.42/42.87 [16195] 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))))
% 293.42/42.87 -> [16196] ~(unequally_directed_lines(skolem_N7979, M38_496_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_496_8)))
% 293.42/42.87 -> [16197] (left_convergent_lines(skolem_N7979, M38_496_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_496_8)))
% 293.42/42.87
% 293.42/42.87 [16197] BETA_OR : (left_convergent_lines(skolem_N7979, M38_496_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_496_8)))
% 293.42/42.87 -> [16202] left_convergent_lines(skolem_N7979, M38_496_8)
% 293.42/42.87 -> [16203] left_convergent_lines(skolem_N7979, reverse_line(M38_496_8))
% 293.42/42.87
% 293.42/42.87 [16203] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [16451] ~(left_apart_point(A39_972_9, L40_972_9) | left_apart_point(A39_972_9, reverse_line(L40_972_9)))
% 293.42/42.87
% 293.42/42.87 [16451] ALPHA_NOT_OR : ~(left_apart_point(A39_972_9, L40_972_9) | left_apart_point(A39_972_9, reverse_line(L40_972_9)))
% 293.42/42.87 -> [16453] ~left_apart_point(A39_972_9, L40_972_9), ~left_apart_point(A39_972_9, reverse_line(L40_972_9))
% 293.42/42.87
% 293.42/42.87 [16453] CLOSURE : ~left_apart_point(A39_972_9, L40_972_9)
% 293.42/42.87
% 293.42/42.87 [16202] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [16531] ~(left_apart_point(A39_976_9, L40_976_9) | left_apart_point(A39_976_9, reverse_line(L40_976_9)))
% 293.42/42.87
% 293.42/42.87 [16531] ALPHA_NOT_OR : ~(left_apart_point(A39_976_9, L40_976_9) | left_apart_point(A39_976_9, reverse_line(L40_976_9)))
% 293.42/42.87 -> [16536] ~left_apart_point(A39_976_9, L40_976_9), ~left_apart_point(A39_976_9, reverse_line(L40_976_9))
% 293.42/42.87
% 293.42/42.87 [16536] CLOSURE : ~left_apart_point(A39_976_9, L40_976_9)
% 293.42/42.87
% 293.42/42.87 [16196] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_496_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_496_8)))
% 293.42/42.87 -> [17353] ~unequally_directed_lines(skolem_N7979, M38_496_8)
% 293.42/42.87 -> [17354] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_496_8))
% 293.42/42.87
% 293.42/42.87 [17354] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_496_8))
% 293.42/42.87
% 293.42/42.87 [17353] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_496_8)
% 293.42/42.87
% 293.42/42.87 [16032] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 293.42/42.87 -> [16041] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.42/42.87 -> [16042] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 293.42/42.87
% 293.42/42.87 [16041] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.42/42.87
% 293.42/42.87 [16042] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [16209] ((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))))
% 293.42/42.87
% 293.42/42.87 [16209] 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))))
% 293.42/42.87 -> [16210] ~(unequally_directed_lines(skolem_N7979, M38_497_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_497_8)))
% 293.42/42.87 -> [16211] (left_convergent_lines(skolem_N7979, M38_497_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_497_8)))
% 293.42/42.87
% 293.42/42.87 [16211] BETA_OR : (left_convergent_lines(skolem_N7979, M38_497_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_497_8)))
% 293.42/42.87 -> [16216] left_convergent_lines(skolem_N7979, M38_497_8)
% 293.42/42.87 -> [16217] left_convergent_lines(skolem_N7979, reverse_line(M38_497_8))
% 293.42/42.87
% 293.42/42.87 [16216] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [16558] ~(left_apart_point(A39_982_9, L40_982_9) | left_apart_point(A39_982_9, reverse_line(L40_982_9)))
% 293.42/42.87
% 293.42/42.87 [16558] ALPHA_NOT_OR : ~(left_apart_point(A39_982_9, L40_982_9) | left_apart_point(A39_982_9, reverse_line(L40_982_9)))
% 293.42/42.87 -> [16559] ~left_apart_point(A39_982_9, L40_982_9), ~left_apart_point(A39_982_9, reverse_line(L40_982_9))
% 293.42/42.87
% 293.42/42.87 [16559] CLOSURE : ~left_apart_point(A39_982_9, L40_982_9)
% 293.42/42.87
% 293.42/42.87 [16217] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [16563] ~(left_apart_point(A39_983_9, L40_983_9) | left_apart_point(A39_983_9, reverse_line(L40_983_9)))
% 293.42/42.87
% 293.42/42.87 [16563] ALPHA_NOT_OR : ~(left_apart_point(A39_983_9, L40_983_9) | left_apart_point(A39_983_9, reverse_line(L40_983_9)))
% 293.42/42.87 -> [16565] ~left_apart_point(A39_983_9, L40_983_9), ~left_apart_point(A39_983_9, reverse_line(L40_983_9))
% 293.42/42.87
% 293.42/42.87 [16565] CLOSURE : ~left_apart_point(A39_983_9, L40_983_9)
% 293.42/42.87
% 293.42/42.87 [16210] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_497_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_497_8)))
% 293.42/42.87 -> [16282] ~unequally_directed_lines(skolem_N7979, M38_497_8)
% 293.42/42.87 -> [16283] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_497_8))
% 293.42/42.87
% 293.42/42.87 [16283] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_497_8))
% 293.42/42.87
% 293.42/42.87 [16282] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_497_8)
% 293.42/42.87
% 293.42/42.87 [1099] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.87 -> [1139] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))
% 293.42/42.87 -> [1140] ~~(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)))
% 293.42/42.87
% 293.42/42.87 [1139] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.87 -> [1829] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.87
% 293.42/42.87 [1829] 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))))
% 293.42/42.87 -> [1926] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.87
% 293.42/42.87 [1926] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.87 -> [1927] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.87 -> [1928] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.87
% 293.42/42.87 [1927] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.87
% 293.42/42.87 [1928] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.87 -> [1970] distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.87 -> [1971] distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.87
% 293.42/42.87 [1971] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.87
% 293.42/42.87 [1970] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.87 -> [1993] ~distinct_lines(N27_5_3, N27_5_3)
% 293.42/42.87
% 293.42/42.87 [1993] 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))))
% 293.42/42.87 -> [2000] (distinct_lines(N27_5_3, N27_5_3) => (distinct_lines(N27_5_3, N27_5_3) | distinct_lines(N27_5_3, N27_5_3)))
% 293.42/42.87
% 293.42/42.87 [2000] 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)))
% 293.42/42.87 -> [2003] ~distinct_lines(N27_5_3, N27_5_3)
% 293.42/42.87 -> [2004] (distinct_lines(N27_5_3, N27_5_3) | distinct_lines(N27_5_3, N27_5_3))
% 293.42/42.87
% 293.42/42.87 [2004] BETA_OR : (distinct_lines(N27_5_3, N27_5_3) | distinct_lines(N27_5_3, N27_5_3))
% 293.42/42.87 -> [2009] distinct_lines(N27_5_3, N27_5_3)
% 293.42/42.87 -> [2010] distinct_lines(N27_5_3, N27_5_3)
% 293.42/42.87
% 293.42/42.87 [2010] CLOSURE : distinct_lines(N27_5_3, N27_5_3)
% 293.42/42.87
% 293.42/42.87 [2009] CLOSURE : distinct_lines(N27_5_3, N27_5_3)
% 293.42/42.87
% 293.42/42.87 [2003] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.87 -> [2016] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [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))))
% 293.42/42.87 -> [2028] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878)))
% 293.42/42.87
% 293.42/42.87 [2028] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878)))
% 293.42/42.87 -> [2029] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.42/42.87 -> [2030] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [2029] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.42/42.87
% 293.42/42.87 [2030] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878))
% 293.42/42.87 -> [5971] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.87 -> [5972] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [5971] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [5972] 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))))))
% 293.42/42.87 -> [7646] ((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)))))
% 293.42/42.87
% 293.42/42.87 [7646] 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)))))
% 293.42/42.87 -> [7647] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.87 -> [7648] ((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))))
% 293.42/42.87
% 293.42/42.87 [7647] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.87 -> [7699] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.87 -> [7700] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [7700] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [7699] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.87
% 293.42/42.87 [7648] 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))))
% 293.42/42.87 -> [13201] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [13202] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.87
% 293.42/42.87 [13201] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [13234] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [13234] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [13202] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [13206] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [13206] 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)))))
% 293.42/42.87 -> [13321] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.87
% 293.42/42.87 [13321] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.87 -> [13322] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.87 -> [13323] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.87
% 293.42/42.87 [13323] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [13326] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.87 -> [13327] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [13326] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [13327] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [13383] ((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))))
% 293.42/42.87
% 293.42/42.87 [13383] 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))))
% 293.42/42.87 -> [13386] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.87 -> [13387] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.87
% 293.42/42.87 [13387] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.87 -> [13389] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.87 -> [13390] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [13389] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [13721] ~(left_apart_point(A39_648_9, L40_648_9) | left_apart_point(A39_648_9, reverse_line(L40_648_9)))
% 293.42/42.87
% 293.42/42.87 [13721] ALPHA_NOT_OR : ~(left_apart_point(A39_648_9, L40_648_9) | left_apart_point(A39_648_9, reverse_line(L40_648_9)))
% 293.42/42.87 -> [13722] ~left_apart_point(A39_648_9, L40_648_9), ~left_apart_point(A39_648_9, reverse_line(L40_648_9))
% 293.42/42.87
% 293.42/42.87 [13722] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.87 -> [13760] ~(left_convergent_lines(L41_89_10, M42_89_10) | left_convergent_lines(L41_89_10, reverse_line(M42_89_10)))
% 293.42/42.87
% 293.42/42.87 [13760] ALPHA_NOT_OR : ~(left_convergent_lines(L41_89_10, M42_89_10) | left_convergent_lines(L41_89_10, reverse_line(M42_89_10)))
% 293.42/42.87 -> [13763] ~left_convergent_lines(L41_89_10, M42_89_10), ~left_convergent_lines(L41_89_10, reverse_line(M42_89_10))
% 293.42/42.87
% 293.42/42.87 [13763] CLOSURE : ~left_convergent_lines(L41_89_10, M42_89_10)
% 293.42/42.87
% 293.42/42.87 [13390] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [13526] ~(left_apart_point(A39_625_9, L40_625_9) | left_apart_point(A39_625_9, reverse_line(L40_625_9)))
% 293.42/42.87
% 293.42/42.87 [13526] ALPHA_NOT_OR : ~(left_apart_point(A39_625_9, L40_625_9) | left_apart_point(A39_625_9, reverse_line(L40_625_9)))
% 293.42/42.87 -> [13529] ~left_apart_point(A39_625_9, L40_625_9), ~left_apart_point(A39_625_9, reverse_line(L40_625_9))
% 293.42/42.87
% 293.42/42.87 [13529] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.87 -> [13747] ~(left_convergent_lines(L41_88_10, M42_88_10) | left_convergent_lines(L41_88_10, reverse_line(M42_88_10)))
% 293.42/42.87
% 293.42/42.87 [13747] ALPHA_NOT_OR : ~(left_convergent_lines(L41_88_10, M42_88_10) | left_convergent_lines(L41_88_10, reverse_line(M42_88_10)))
% 293.42/42.87 -> [13750] ~left_convergent_lines(L41_88_10, M42_88_10), ~left_convergent_lines(L41_88_10, reverse_line(M42_88_10))
% 293.42/42.87
% 293.42/42.87 [13750] CLOSURE : ~left_convergent_lines(L41_88_10, M42_88_10)
% 293.42/42.87
% 293.42/42.87 [13386] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.87 -> [13414] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.87 -> [13415] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [13415] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [13414] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.87
% 293.42/42.87 [13322] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.87 -> [13328] ~line(skolem_M7878)
% 293.42/42.87 -> [13329] ~line(skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [13328] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [13398] ((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))))
% 293.42/42.87
% 293.42/42.87 [13398] 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))))
% 293.42/42.87 -> [13401] ~(unequally_directed_lines(skolem_N7979, M38_325_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_325_8)))
% 293.42/42.87 -> [13402] (left_convergent_lines(skolem_N7979, M38_325_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_325_8)))
% 293.42/42.87
% 293.42/42.87 [13402] BETA_OR : (left_convergent_lines(skolem_N7979, M38_325_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_325_8)))
% 293.42/42.87 -> [13403] left_convergent_lines(skolem_N7979, M38_325_8)
% 293.42/42.87 -> [13404] left_convergent_lines(skolem_N7979, reverse_line(M38_325_8))
% 293.42/42.87
% 293.42/42.87 [13403] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [13810] ~(left_apart_point(A39_662_9, L40_662_9) | left_apart_point(A39_662_9, reverse_line(L40_662_9)))
% 293.42/42.87
% 293.42/42.87 [13810] ALPHA_NOT_OR : ~(left_apart_point(A39_662_9, L40_662_9) | left_apart_point(A39_662_9, reverse_line(L40_662_9)))
% 293.42/42.87 -> [13812] ~left_apart_point(A39_662_9, L40_662_9), ~left_apart_point(A39_662_9, reverse_line(L40_662_9))
% 293.42/42.87
% 293.42/42.87 [13812] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.87 -> [13824] ~(left_convergent_lines(L41_91_10, M42_91_10) | left_convergent_lines(L41_91_10, reverse_line(M42_91_10)))
% 293.42/42.87
% 293.42/42.87 [13824] ALPHA_NOT_OR : ~(left_convergent_lines(L41_91_10, M42_91_10) | left_convergent_lines(L41_91_10, reverse_line(M42_91_10)))
% 293.42/42.87 -> [13828] ~left_convergent_lines(L41_91_10, M42_91_10), ~left_convergent_lines(L41_91_10, reverse_line(M42_91_10))
% 293.42/42.87
% 293.42/42.87 [13828] CLOSURE : ~left_convergent_lines(L41_91_10, M42_91_10)
% 293.42/42.87
% 293.42/42.87 [13404] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [13546] ~(left_apart_point(A39_627_9, L40_627_9) | left_apart_point(A39_627_9, reverse_line(L40_627_9)))
% 293.42/42.87
% 293.42/42.87 [13546] ALPHA_NOT_OR : ~(left_apart_point(A39_627_9, L40_627_9) | left_apart_point(A39_627_9, reverse_line(L40_627_9)))
% 293.42/42.87 -> [13676] ~left_apart_point(A39_627_9, L40_627_9), ~left_apart_point(A39_627_9, reverse_line(L40_627_9))
% 293.42/42.87
% 293.42/42.87 [13676] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.87 -> [13819] ~(left_convergent_lines(L41_90_10, M42_90_10) | left_convergent_lines(L41_90_10, reverse_line(M42_90_10)))
% 293.42/42.87
% 293.42/42.87 [13819] ALPHA_NOT_OR : ~(left_convergent_lines(L41_90_10, M42_90_10) | left_convergent_lines(L41_90_10, reverse_line(M42_90_10)))
% 293.42/42.87 -> [13822] ~left_convergent_lines(L41_90_10, M42_90_10), ~left_convergent_lines(L41_90_10, reverse_line(M42_90_10))
% 293.42/42.87
% 293.42/42.87 [13822] CLOSURE : ~left_convergent_lines(L41_90_10, M42_90_10)
% 293.42/42.87
% 293.42/42.87 [13401] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_325_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_325_8)))
% 293.42/42.87 -> [13448] ~unequally_directed_lines(skolem_N7979, M38_325_8)
% 293.42/42.87 -> [13449] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_325_8))
% 293.42/42.87
% 293.42/42.87 [13449] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_325_8))
% 293.42/42.87
% 293.42/42.87 [13448] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_325_8)
% 293.42/42.87
% 293.42/42.87 [13329] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [13372] ((unequally_directed_lines(skolem_N7979, M38_323_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_323_8))) => (left_convergent_lines(skolem_N7979, M38_323_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_323_8))))
% 293.42/42.87
% 293.42/42.87 [13372] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_323_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_323_8))) => (left_convergent_lines(skolem_N7979, M38_323_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_323_8))))
% 293.42/42.87 -> [13377] ~(unequally_directed_lines(skolem_N7979, M38_323_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_323_8)))
% 293.42/42.87 -> [13378] (left_convergent_lines(skolem_N7979, M38_323_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_323_8)))
% 293.42/42.87
% 293.42/42.87 [13377] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_323_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_323_8)))
% 293.42/42.87 -> [13412] ~unequally_directed_lines(skolem_N7979, M38_323_8)
% 293.42/42.87 -> [13413] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_323_8))
% 293.42/42.87
% 293.42/42.87 [13412] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_323_8)
% 293.42/42.87
% 293.42/42.87 [13413] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_323_8))
% 293.42/42.87
% 293.42/42.87 [13378] BETA_OR : (left_convergent_lines(skolem_N7979, M38_323_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_323_8)))
% 293.42/42.87 -> [13379] left_convergent_lines(skolem_N7979, M38_323_8)
% 293.42/42.87 -> [13380] left_convergent_lines(skolem_N7979, reverse_line(M38_323_8))
% 293.42/42.87
% 293.42/42.87 [13379] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [14198] ~(left_apart_point(A39_715_9, L40_715_9) | left_apart_point(A39_715_9, reverse_line(L40_715_9)))
% 293.42/42.87
% 293.42/42.87 [14198] ALPHA_NOT_OR : ~(left_apart_point(A39_715_9, L40_715_9) | left_apart_point(A39_715_9, reverse_line(L40_715_9)))
% 293.42/42.87 -> [14199] ~left_apart_point(A39_715_9, L40_715_9), ~left_apart_point(A39_715_9, reverse_line(L40_715_9))
% 293.42/42.87
% 293.42/42.87 [14199] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.87 -> [14524] ~(left_convergent_lines(L41_93_10, M42_93_10) | left_convergent_lines(L41_93_10, reverse_line(M42_93_10)))
% 293.42/42.87
% 293.42/42.87 [14524] ALPHA_NOT_OR : ~(left_convergent_lines(L41_93_10, M42_93_10) | left_convergent_lines(L41_93_10, reverse_line(M42_93_10)))
% 293.42/42.87 -> [14527] ~left_convergent_lines(L41_93_10, M42_93_10), ~left_convergent_lines(L41_93_10, reverse_line(M42_93_10))
% 293.42/42.87
% 293.42/42.87 [14527] CLOSURE : ~left_convergent_lines(L41_93_10, M42_93_10)
% 293.42/42.87
% 293.42/42.87 [13380] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [14233] ~(left_apart_point(A39_722_9, L40_722_9) | left_apart_point(A39_722_9, reverse_line(L40_722_9)))
% 293.42/42.87
% 293.42/42.87 [14233] ALPHA_NOT_OR : ~(left_apart_point(A39_722_9, L40_722_9) | left_apart_point(A39_722_9, reverse_line(L40_722_9)))
% 293.42/42.87 -> [14235] ~left_apart_point(A39_722_9, L40_722_9), ~left_apart_point(A39_722_9, reverse_line(L40_722_9))
% 293.42/42.87
% 293.42/42.87 [14235] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.87 -> [14602] ~(left_convergent_lines(L41_94_10, M42_94_10) | left_convergent_lines(L41_94_10, reverse_line(M42_94_10)))
% 293.42/42.87
% 293.42/42.87 [14602] ALPHA_NOT_OR : ~(left_convergent_lines(L41_94_10, M42_94_10) | left_convergent_lines(L41_94_10, reverse_line(M42_94_10)))
% 293.42/42.87 -> [14603] ~left_convergent_lines(L41_94_10, M42_94_10), ~left_convergent_lines(L41_94_10, reverse_line(M42_94_10))
% 293.42/42.87
% 293.42/42.87 [14603] CLOSURE : ~left_convergent_lines(L41_94_10, M42_94_10)
% 293.42/42.87
% 293.42/42.87 [1140] 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)))
% 293.42/42.87 -> [1145] (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)))
% 293.42/42.87
% 293.42/42.87 [1145] 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)))
% 293.42/42.87 -> [1147] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 293.42/42.87 -> [1148] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [1148] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.87 -> [1879] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.87
% 293.42/42.87 [1879] 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))))
% 293.42/42.87 -> [3710] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.87
% 293.42/42.87 [3710] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.87 -> [3711] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.87 -> [3712] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.87
% 293.42/42.87 [3711] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.87
% 293.42/42.87 [3712] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.87 -> [5796] distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.87 -> [5797] distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.87
% 293.42/42.87 [5797] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.87
% 293.42/42.87 [5796] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.87 -> [6559] ~distinct_lines(N27_208_3, N27_208_3)
% 293.42/42.87
% 293.42/42.87 [6559] 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))))
% 293.42/42.87 -> [6614] (distinct_lines(N27_208_3, N27_208_3) => (distinct_lines(N27_208_3, N27_208_3) | distinct_lines(N27_208_3, N27_208_3)))
% 293.42/42.87
% 293.42/42.87 [6614] BETA_IMPLY : (distinct_lines(N27_208_3, N27_208_3) => (distinct_lines(N27_208_3, N27_208_3) | distinct_lines(N27_208_3, N27_208_3)))
% 293.42/42.87 -> [6618] ~distinct_lines(N27_208_3, N27_208_3)
% 293.42/42.87 -> [6619] (distinct_lines(N27_208_3, N27_208_3) | distinct_lines(N27_208_3, N27_208_3))
% 293.42/42.87
% 293.42/42.87 [6619] BETA_OR : (distinct_lines(N27_208_3, N27_208_3) | distinct_lines(N27_208_3, N27_208_3))
% 293.42/42.87 -> [6628] distinct_lines(N27_208_3, N27_208_3)
% 293.42/42.87 -> [6629] distinct_lines(N27_208_3, N27_208_3)
% 293.42/42.87
% 293.42/42.87 [6629] CLOSURE : distinct_lines(N27_208_3, N27_208_3)
% 293.42/42.87
% 293.42/42.87 [6628] CLOSURE : distinct_lines(N27_208_3, N27_208_3)
% 293.42/42.87
% 293.42/42.87 [6618] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.87 -> [6687] ~unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.42/42.87
% 293.42/42.87 [6687] 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))))
% 293.42/42.87 -> [6781] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 293.42/42.87
% 293.42/42.87 [6781] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 293.42/42.87 -> [6782] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.42/42.87 -> [6783] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 293.42/42.87
% 293.42/42.87 [6782] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.42/42.87
% 293.42/42.87 [6783] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 293.42/42.87 -> [10207] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.42/42.87 -> [10208] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.42/42.87
% 293.42/42.87 [10208] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.42/42.87
% 293.42/42.87 [10207] 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))))))
% 293.42/42.87 -> [11327] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_151_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_151_6))) | (unequally_directed_lines(skolem_N7979, N34_151_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_151_6)))))
% 293.42/42.87
% 293.42/42.87 [11327] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_151_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_151_6))) | (unequally_directed_lines(skolem_N7979, N34_151_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_151_6)))))
% 293.42/42.87 -> [11328] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.87 -> [11329] ((unequally_directed_lines(skolem_M7878, N34_151_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_151_6))) | (unequally_directed_lines(skolem_N7979, N34_151_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_151_6))))
% 293.42/42.87
% 293.42/42.87 [11328] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.87 -> [11338] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.87 -> [11339] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [11339] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [11338] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.87
% 293.42/42.87 [11329] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_151_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_151_6))) | (unequally_directed_lines(skolem_N7979, N34_151_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_151_6))))
% 293.42/42.87 -> [15741] (unequally_directed_lines(skolem_M7878, N34_151_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_151_6)))
% 293.42/42.87 -> [15742] (unequally_directed_lines(skolem_N7979, N34_151_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_151_6)))
% 293.42/42.87
% 293.42/42.87 [15741] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_151_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_151_6)))
% 293.42/42.87 -> [15754] unequally_directed_lines(skolem_M7878, N34_151_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_151_6))
% 293.42/42.87
% 293.42/42.87 [15754] 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)))))
% 293.42/42.87 -> [15850] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))))
% 293.42/42.87
% 293.42/42.87 [15850] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))))
% 293.42/42.87 -> [15854] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 293.42/42.87 -> [15855] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 293.42/42.87
% 293.42/42.87 [15855] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 293.42/42.87 -> [15858] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.42/42.87 -> [15859] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 293.42/42.87
% 293.42/42.87 [15858] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.42/42.87
% 293.42/42.87 [15859] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [15984] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.87
% 293.42/42.87 [15984] 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))))
% 293.42/42.87 -> [15986] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [15987] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87
% 293.42/42.87 [15986] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [16068] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87 -> [16069] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [16069] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [16068] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [15987] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [15990] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87 -> [15991] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [15990] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [16278] ~(left_apart_point(A39_941_9, L40_941_9) | left_apart_point(A39_941_9, reverse_line(L40_941_9)))
% 293.42/42.87
% 293.42/42.87 [16278] ALPHA_NOT_OR : ~(left_apart_point(A39_941_9, L40_941_9) | left_apart_point(A39_941_9, reverse_line(L40_941_9)))
% 293.42/42.87 -> [16279] ~left_apart_point(A39_941_9, L40_941_9), ~left_apart_point(A39_941_9, reverse_line(L40_941_9))
% 293.42/42.87
% 293.42/42.87 [16279] CLOSURE : ~left_apart_point(A39_941_9, L40_941_9)
% 293.42/42.87
% 293.42/42.87 [15991] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [16414] ~(left_apart_point(A39_966_9, L40_966_9) | left_apart_point(A39_966_9, reverse_line(L40_966_9)))
% 293.42/42.87
% 293.42/42.87 [16414] ALPHA_NOT_OR : ~(left_apart_point(A39_966_9, L40_966_9) | left_apart_point(A39_966_9, reverse_line(L40_966_9)))
% 293.42/42.87 -> [16417] ~left_apart_point(A39_966_9, L40_966_9), ~left_apart_point(A39_966_9, reverse_line(L40_966_9))
% 293.42/42.87
% 293.42/42.87 [16417] CLOSURE : ~left_apart_point(A39_966_9, L40_966_9)
% 293.42/42.87
% 293.42/42.87 [15854] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 293.42/42.87 -> [15872] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.42/42.87 -> [15873] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.42/42.87
% 293.42/42.87 [15873] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [15969] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.87
% 293.42/42.87 [15969] 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))))
% 293.42/42.87 -> [15973] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [15974] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87
% 293.42/42.87 [15974] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [15977] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87 -> [15978] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [15978] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [16240] ~(left_apart_point(A39_938_9, L40_938_9) | left_apart_point(A39_938_9, reverse_line(L40_938_9)))
% 293.42/42.87
% 293.42/42.87 [16240] ALPHA_NOT_OR : ~(left_apart_point(A39_938_9, L40_938_9) | left_apart_point(A39_938_9, reverse_line(L40_938_9)))
% 293.42/42.87 -> [16245] ~left_apart_point(A39_938_9, L40_938_9), ~left_apart_point(A39_938_9, reverse_line(L40_938_9))
% 293.42/42.87
% 293.42/42.87 [16245] CLOSURE : ~left_apart_point(A39_938_9, L40_938_9)
% 293.42/42.87
% 293.42/42.87 [15977] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [16267] ~(left_apart_point(A39_940_9, L40_940_9) | left_apart_point(A39_940_9, reverse_line(L40_940_9)))
% 293.42/42.87
% 293.42/42.87 [16267] ALPHA_NOT_OR : ~(left_apart_point(A39_940_9, L40_940_9) | left_apart_point(A39_940_9, reverse_line(L40_940_9)))
% 293.42/42.87 -> [16270] ~left_apart_point(A39_940_9, L40_940_9), ~left_apart_point(A39_940_9, reverse_line(L40_940_9))
% 293.42/42.87
% 293.42/42.87 [16270] CLOSURE : ~left_apart_point(A39_940_9, L40_940_9)
% 293.42/42.87
% 293.42/42.87 [15973] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [16055] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87 -> [16056] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [16056] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [16055] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [15872] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [16023] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.87
% 293.42/42.87 [16023] 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))))
% 293.42/42.87 -> [16029] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [16030] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87
% 293.42/42.87 [16029] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [16101] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87 -> [16102] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [16102] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [16101] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [16030] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [16039] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87 -> [16040] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [16040] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [16302] ~(left_apart_point(A39_943_9, L40_943_9) | left_apart_point(A39_943_9, reverse_line(L40_943_9)))
% 293.42/42.87
% 293.42/42.87 [16302] ALPHA_NOT_OR : ~(left_apart_point(A39_943_9, L40_943_9) | left_apart_point(A39_943_9, reverse_line(L40_943_9)))
% 293.42/42.87 -> [16305] ~left_apart_point(A39_943_9, L40_943_9), ~left_apart_point(A39_943_9, reverse_line(L40_943_9))
% 293.42/42.87
% 293.42/42.87 [16305] CLOSURE : ~left_apart_point(A39_943_9, L40_943_9)
% 293.42/42.87
% 293.42/42.87 [16039] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [16404] ~(left_apart_point(A39_963_9, L40_963_9) | left_apart_point(A39_963_9, reverse_line(L40_963_9)))
% 293.42/42.87
% 293.42/42.87 [16404] ALPHA_NOT_OR : ~(left_apart_point(A39_963_9, L40_963_9) | left_apart_point(A39_963_9, reverse_line(L40_963_9)))
% 293.42/42.87 -> [16406] ~left_apart_point(A39_963_9, L40_963_9), ~left_apart_point(A39_963_9, reverse_line(L40_963_9))
% 293.42/42.87
% 293.42/42.87 [16406] CLOSURE : ~left_apart_point(A39_963_9, L40_963_9)
% 293.42/42.87
% 293.42/42.87 [15742] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_151_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_151_6)))
% 293.42/42.87 -> [15747] unequally_directed_lines(skolem_N7979, N34_151_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_151_6))
% 293.42/42.87
% 293.42/42.87 [15747] 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)))))
% 293.42/42.87 -> [15826] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))))
% 293.42/42.87
% 293.42/42.87 [15826] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))))
% 293.42/42.87 -> [15827] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 293.42/42.87 -> [15828] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 293.42/42.87
% 293.42/42.87 [15828] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 293.42/42.87 -> [15836] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.42/42.87 -> [15837] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 293.42/42.87
% 293.42/42.87 [15836] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.42/42.87
% 293.42/42.87 [15837] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [15949] ((unequally_directed_lines(skolem_N7979, M38_482_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_482_8))) => (left_convergent_lines(skolem_N7979, M38_482_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_482_8))))
% 293.42/42.87
% 293.42/42.87 [15949] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_482_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_482_8))) => (left_convergent_lines(skolem_N7979, M38_482_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_482_8))))
% 293.42/42.87 -> [15954] ~(unequally_directed_lines(skolem_N7979, M38_482_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_482_8)))
% 293.42/42.87 -> [15955] (left_convergent_lines(skolem_N7979, M38_482_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_482_8)))
% 293.42/42.87
% 293.42/42.87 [15955] BETA_OR : (left_convergent_lines(skolem_N7979, M38_482_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_482_8)))
% 293.42/42.87 -> [15958] left_convergent_lines(skolem_N7979, M38_482_8)
% 293.42/42.87 -> [15959] left_convergent_lines(skolem_N7979, reverse_line(M38_482_8))
% 293.42/42.87
% 293.42/42.87 [15959] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [16213] ~(left_apart_point(A39_935_9, L40_935_9) | left_apart_point(A39_935_9, reverse_line(L40_935_9)))
% 293.42/42.87
% 293.42/42.87 [16213] ALPHA_NOT_OR : ~(left_apart_point(A39_935_9, L40_935_9) | left_apart_point(A39_935_9, reverse_line(L40_935_9)))
% 293.42/42.87 -> [16218] ~left_apart_point(A39_935_9, L40_935_9), ~left_apart_point(A39_935_9, reverse_line(L40_935_9))
% 293.42/42.87
% 293.42/42.87 [16218] CLOSURE : ~left_apart_point(A39_935_9, L40_935_9)
% 293.42/42.87
% 293.42/42.87 [15958] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [16348] ~(left_apart_point(A39_951_9, L40_951_9) | left_apart_point(A39_951_9, reverse_line(L40_951_9)))
% 293.42/42.87
% 293.42/42.87 [16348] ALPHA_NOT_OR : ~(left_apart_point(A39_951_9, L40_951_9) | left_apart_point(A39_951_9, reverse_line(L40_951_9)))
% 293.42/42.87 -> [16349] ~left_apart_point(A39_951_9, L40_951_9), ~left_apart_point(A39_951_9, reverse_line(L40_951_9))
% 293.42/42.87
% 293.42/42.87 [16349] CLOSURE : ~left_apart_point(A39_951_9, L40_951_9)
% 293.42/42.87
% 293.42/42.87 [15954] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_482_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_482_8)))
% 293.42/42.87 -> [16016] ~unequally_directed_lines(skolem_N7979, M38_482_8)
% 293.42/42.87 -> [16017] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_482_8))
% 293.42/42.87
% 293.42/42.87 [16017] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_482_8))
% 293.42/42.87
% 293.42/42.87 [16016] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_482_8)
% 293.42/42.87
% 293.42/42.87 [15827] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 293.42/42.87 -> [15863] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.42/42.87 -> [15864] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.42/42.87
% 293.42/42.87 [15864] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [15936] ((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))))
% 293.42/42.87
% 293.42/42.87 [15936] 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))))
% 293.42/42.87 -> [15937] ~(unequally_directed_lines(skolem_N7979, M38_481_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_481_8)))
% 293.42/42.87 -> [15938] (left_convergent_lines(skolem_N7979, M38_481_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_481_8)))
% 293.42/42.87
% 293.42/42.87 [15937] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_481_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_481_8)))
% 293.42/42.87 -> [16008] ~unequally_directed_lines(skolem_N7979, M38_481_8)
% 293.42/42.87 -> [16009] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_481_8))
% 293.42/42.87
% 293.42/42.87 [16008] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_481_8)
% 293.42/42.87
% 293.42/42.87 [16009] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_481_8))
% 293.42/42.87
% 293.42/42.87 [15938] BETA_OR : (left_convergent_lines(skolem_N7979, M38_481_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_481_8)))
% 293.42/42.87 -> [15942] left_convergent_lines(skolem_N7979, M38_481_8)
% 293.42/42.87 -> [15943] left_convergent_lines(skolem_N7979, reverse_line(M38_481_8))
% 293.42/42.87
% 293.42/42.87 [15943] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [16204] ~(left_apart_point(A39_934_9, L40_934_9) | left_apart_point(A39_934_9, reverse_line(L40_934_9)))
% 293.42/42.87
% 293.42/42.87 [16204] ALPHA_NOT_OR : ~(left_apart_point(A39_934_9, L40_934_9) | left_apart_point(A39_934_9, reverse_line(L40_934_9)))
% 293.42/42.87 -> [16205] ~left_apart_point(A39_934_9, L40_934_9), ~left_apart_point(A39_934_9, reverse_line(L40_934_9))
% 293.42/42.87
% 293.42/42.87 [16205] CLOSURE : ~left_apart_point(A39_934_9, L40_934_9)
% 293.42/42.87
% 293.42/42.87 [15942] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [16251] ~(left_apart_point(A39_939_9, L40_939_9) | left_apart_point(A39_939_9, reverse_line(L40_939_9)))
% 293.42/42.87
% 293.42/42.87 [16251] ALPHA_NOT_OR : ~(left_apart_point(A39_939_9, L40_939_9) | left_apart_point(A39_939_9, reverse_line(L40_939_9)))
% 293.42/42.87 -> [16254] ~left_apart_point(A39_939_9, L40_939_9), ~left_apart_point(A39_939_9, reverse_line(L40_939_9))
% 293.42/42.87
% 293.42/42.87 [16254] CLOSURE : ~left_apart_point(A39_939_9, L40_939_9)
% 293.42/42.87
% 293.42/42.87 [15863] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [15996] ((unequally_directed_lines(skolem_N7979, M38_486_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_486_8))) => (left_convergent_lines(skolem_N7979, M38_486_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_486_8))))
% 293.42/42.87
% 293.42/42.87 [15996] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_486_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_486_8))) => (left_convergent_lines(skolem_N7979, M38_486_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_486_8))))
% 293.42/42.87 -> [15998] ~(unequally_directed_lines(skolem_N7979, M38_486_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_486_8)))
% 293.42/42.87 -> [15999] (left_convergent_lines(skolem_N7979, M38_486_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_486_8)))
% 293.42/42.87
% 293.42/42.87 [15998] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_486_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_486_8)))
% 293.42/42.87 -> [16081] ~unequally_directed_lines(skolem_N7979, M38_486_8)
% 293.42/42.87 -> [16082] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_486_8))
% 293.42/42.87
% 293.42/42.87 [16081] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_486_8)
% 293.42/42.87
% 293.42/42.87 [16082] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_486_8))
% 293.42/42.87
% 293.42/42.87 [15999] BETA_OR : (left_convergent_lines(skolem_N7979, M38_486_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_486_8)))
% 293.42/42.87 -> [16002] left_convergent_lines(skolem_N7979, M38_486_8)
% 293.42/42.87 -> [16003] left_convergent_lines(skolem_N7979, reverse_line(M38_486_8))
% 293.42/42.87
% 293.42/42.87 [16002] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [16318] ~(left_apart_point(A39_946_9, L40_946_9) | left_apart_point(A39_946_9, reverse_line(L40_946_9)))
% 293.42/42.87
% 293.42/42.87 [16318] ALPHA_NOT_OR : ~(left_apart_point(A39_946_9, L40_946_9) | left_apart_point(A39_946_9, reverse_line(L40_946_9)))
% 293.42/42.87 -> [16319] ~left_apart_point(A39_946_9, L40_946_9), ~left_apart_point(A39_946_9, reverse_line(L40_946_9))
% 293.42/42.87
% 293.42/42.87 [16319] CLOSURE : ~left_apart_point(A39_946_9, L40_946_9)
% 293.42/42.87
% 293.42/42.87 [16003] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [16569] ~(left_apart_point(A39_984_9, L40_984_9) | left_apart_point(A39_984_9, reverse_line(L40_984_9)))
% 293.42/42.87
% 293.42/42.87 [16569] ALPHA_NOT_OR : ~(left_apart_point(A39_984_9, L40_984_9) | left_apart_point(A39_984_9, reverse_line(L40_984_9)))
% 293.42/42.87 -> [16572] ~left_apart_point(A39_984_9, L40_984_9), ~left_apart_point(A39_984_9, reverse_line(L40_984_9))
% 293.42/42.87
% 293.42/42.87 [16572] CLOSURE : ~left_apart_point(A39_984_9, L40_984_9)
% 293.42/42.87
% 293.42/42.87 [1147] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.87 -> [1906] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.87
% 293.42/42.87 [1906] 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))))
% 293.42/42.87 -> [3661] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.87
% 293.42/42.87 [3661] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.87 -> [3662] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.87 -> [3663] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.87
% 293.42/42.87 [3662] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.87
% 293.42/42.87 [3663] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.87 -> [6180] distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.87 -> [6181] distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.87
% 293.42/42.87 [6181] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.87
% 293.42/42.87 [6180] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.87 -> [8469] ~distinct_lines(N27_263_3, N27_263_3)
% 293.42/42.87
% 293.42/42.87 [8469] 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))))
% 293.42/42.87 -> [8583] (distinct_lines(N27_263_3, N27_263_3) => (distinct_lines(N27_263_3, N27_263_3) | distinct_lines(N27_263_3, N27_263_3)))
% 293.42/42.87
% 293.42/42.87 [8583] BETA_IMPLY : (distinct_lines(N27_263_3, N27_263_3) => (distinct_lines(N27_263_3, N27_263_3) | distinct_lines(N27_263_3, N27_263_3)))
% 293.42/42.87 -> [8584] ~distinct_lines(N27_263_3, N27_263_3)
% 293.42/42.87 -> [8585] (distinct_lines(N27_263_3, N27_263_3) | distinct_lines(N27_263_3, N27_263_3))
% 293.42/42.87
% 293.42/42.87 [8585] BETA_OR : (distinct_lines(N27_263_3, N27_263_3) | distinct_lines(N27_263_3, N27_263_3))
% 293.42/42.87 -> [8588] distinct_lines(N27_263_3, N27_263_3)
% 293.42/42.87 -> [8589] distinct_lines(N27_263_3, N27_263_3)
% 293.42/42.87
% 293.42/42.87 [8588] CLOSURE : distinct_lines(N27_263_3, N27_263_3)
% 293.42/42.87
% 293.42/42.87 [8589] CLOSURE : distinct_lines(N27_263_3, N27_263_3)
% 293.42/42.87
% 293.42/42.87 [8584] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.87 -> [8712] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [8712] 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))))
% 293.42/42.87 -> [8809] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878)))
% 293.42/42.87
% 293.42/42.87 [8809] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878)))
% 293.42/42.87 -> [8810] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.42/42.87 -> [8811] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [8810] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.42/42.87
% 293.42/42.87 [8811] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878))
% 293.42/42.87 -> [18608] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.87 -> [18609] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [18608] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [18609] 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))))))
% 293.42/42.87 -> [20083] ((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)))))
% 293.42/42.87
% 293.42/42.87 [20083] 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)))))
% 293.42/42.87 -> [20087] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.87 -> [20088] ((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))))
% 293.42/42.87
% 293.42/42.87 [20087] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.87 -> [20140] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.87 -> [20141] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [20141] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [20140] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.87
% 293.42/42.87 [20088] 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))))
% 293.42/42.87 -> [24707] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [24708] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.87
% 293.42/42.87 [24707] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [25242] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [25242] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [24708] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [25504] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [25504] 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)))))
% 293.42/42.87 -> [25520] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.87
% 293.42/42.87 [25520] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.87 -> [25522] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.87 -> [25523] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.87
% 293.42/42.87 [25523] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [25526] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.87 -> [25527] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [25526] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [25527] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [25540] ((unequally_directed_lines(skolem_N7979, M38_1112_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1112_8))) => (left_convergent_lines(skolem_N7979, M38_1112_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1112_8))))
% 293.42/42.87
% 293.42/42.87 [25540] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1112_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1112_8))) => (left_convergent_lines(skolem_N7979, M38_1112_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1112_8))))
% 293.42/42.87 -> [25542] ~(unequally_directed_lines(skolem_N7979, M38_1112_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1112_8)))
% 293.42/42.87 -> [25543] (left_convergent_lines(skolem_N7979, M38_1112_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1112_8)))
% 293.42/42.87
% 293.42/42.87 [25543] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1112_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1112_8)))
% 293.42/42.87 -> [25548] left_convergent_lines(skolem_N7979, M38_1112_8)
% 293.42/42.87 -> [25549] left_convergent_lines(skolem_N7979, reverse_line(M38_1112_8))
% 293.42/42.87
% 293.42/42.87 [25549] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [25572] ~(left_apart_point(A39_2191_9, L40_2191_9) | left_apart_point(A39_2191_9, reverse_line(L40_2191_9)))
% 293.42/42.87
% 293.42/42.87 [25572] ALPHA_NOT_OR : ~(left_apart_point(A39_2191_9, L40_2191_9) | left_apart_point(A39_2191_9, reverse_line(L40_2191_9)))
% 293.42/42.87 -> [25575] ~left_apart_point(A39_2191_9, L40_2191_9), ~left_apart_point(A39_2191_9, reverse_line(L40_2191_9))
% 293.42/42.87
% 293.42/42.87 [25575] CLOSURE : ~left_apart_point(A39_2191_9, L40_2191_9)
% 293.42/42.87
% 293.42/42.87 [25548] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [25579] ~(left_apart_point(A39_2193_9, L40_2193_9) | left_apart_point(A39_2193_9, reverse_line(L40_2193_9)))
% 293.42/42.87
% 293.42/42.87 [25579] ALPHA_NOT_OR : ~(left_apart_point(A39_2193_9, L40_2193_9) | left_apart_point(A39_2193_9, reverse_line(L40_2193_9)))
% 293.42/42.87 -> [25580] ~left_apart_point(A39_2193_9, L40_2193_9), ~left_apart_point(A39_2193_9, reverse_line(L40_2193_9))
% 293.42/42.87
% 293.42/42.87 [25580] CLOSURE : ~left_apart_point(A39_2193_9, L40_2193_9)
% 293.42/42.87
% 293.42/42.87 [25542] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1112_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1112_8)))
% 293.42/42.87 -> [25553] ~unequally_directed_lines(skolem_N7979, M38_1112_8)
% 293.42/42.87 -> [25554] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1112_8))
% 293.42/42.87
% 293.42/42.87 [25554] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1112_8))
% 293.42/42.87
% 293.42/42.87 [25553] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1112_8)
% 293.42/42.87
% 293.42/42.87 [25522] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.87 -> [25533] ~line(skolem_M7878)
% 293.42/42.87 -> [25534] ~line(skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [25534] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [25550] ((unequally_directed_lines(skolem_N7979, M38_1113_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1113_8))) => (left_convergent_lines(skolem_N7979, M38_1113_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1113_8))))
% 293.42/42.87
% 293.42/42.87 [25550] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1113_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1113_8))) => (left_convergent_lines(skolem_N7979, M38_1113_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1113_8))))
% 293.42/42.87 -> [25551] ~(unequally_directed_lines(skolem_N7979, M38_1113_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1113_8)))
% 293.42/42.87 -> [25552] (left_convergent_lines(skolem_N7979, M38_1113_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1113_8)))
% 293.42/42.87
% 293.42/42.87 [25552] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1113_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1113_8)))
% 293.42/42.87 -> [25555] left_convergent_lines(skolem_N7979, M38_1113_8)
% 293.42/42.87 -> [25556] left_convergent_lines(skolem_N7979, reverse_line(M38_1113_8))
% 293.42/42.87
% 293.42/42.87 [25556] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [25597] ~(left_apart_point(A39_2199_9, L40_2199_9) | left_apart_point(A39_2199_9, reverse_line(L40_2199_9)))
% 293.42/42.87
% 293.42/42.87 [25597] ALPHA_NOT_OR : ~(left_apart_point(A39_2199_9, L40_2199_9) | left_apart_point(A39_2199_9, reverse_line(L40_2199_9)))
% 293.42/42.87 -> [25599] ~left_apart_point(A39_2199_9, L40_2199_9), ~left_apart_point(A39_2199_9, reverse_line(L40_2199_9))
% 293.42/42.87
% 293.42/42.87 [25599] CLOSURE : ~left_apart_point(A39_2199_9, L40_2199_9)
% 293.42/42.87
% 293.42/42.87 [25555] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [25615] ~(left_apart_point(A39_2205_9, L40_2205_9) | left_apart_point(A39_2205_9, reverse_line(L40_2205_9)))
% 293.42/42.87
% 293.42/42.87 [25615] ALPHA_NOT_OR : ~(left_apart_point(A39_2205_9, L40_2205_9) | left_apart_point(A39_2205_9, reverse_line(L40_2205_9)))
% 293.42/42.87 -> [25617] ~left_apart_point(A39_2205_9, L40_2205_9), ~left_apart_point(A39_2205_9, reverse_line(L40_2205_9))
% 293.42/42.87
% 293.42/42.87 [25617] CLOSURE : ~left_apart_point(A39_2205_9, L40_2205_9)
% 293.42/42.87
% 293.42/42.87 [25551] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1113_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1113_8)))
% 293.42/42.87 -> [25570] ~unequally_directed_lines(skolem_N7979, M38_1113_8)
% 293.42/42.87 -> [25571] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1113_8))
% 293.42/42.87
% 293.42/42.87 [25571] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1113_8))
% 293.42/42.87
% 293.42/42.87 [25570] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1113_8)
% 293.42/42.87
% 293.42/42.87 [25533] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [25559] ((unequally_directed_lines(skolem_N7979, M38_1114_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1114_8))) => (left_convergent_lines(skolem_N7979, M38_1114_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1114_8))))
% 293.42/42.87
% 293.42/42.87 [25559] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1114_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1114_8))) => (left_convergent_lines(skolem_N7979, M38_1114_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1114_8))))
% 293.42/42.87 -> [25560] ~(unequally_directed_lines(skolem_N7979, M38_1114_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1114_8)))
% 293.42/42.87 -> [25561] (left_convergent_lines(skolem_N7979, M38_1114_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1114_8)))
% 293.42/42.87
% 293.42/42.87 [25561] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1114_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1114_8)))
% 293.42/42.87 -> [25563] left_convergent_lines(skolem_N7979, M38_1114_8)
% 293.42/42.87 -> [25564] left_convergent_lines(skolem_N7979, reverse_line(M38_1114_8))
% 293.42/42.87
% 293.42/42.87 [25564] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [25606] ~(left_apart_point(A39_2201_9, L40_2201_9) | left_apart_point(A39_2201_9, reverse_line(L40_2201_9)))
% 293.42/42.87
% 293.42/42.87 [25606] ALPHA_NOT_OR : ~(left_apart_point(A39_2201_9, L40_2201_9) | left_apart_point(A39_2201_9, reverse_line(L40_2201_9)))
% 293.42/42.87 -> [25608] ~left_apart_point(A39_2201_9, L40_2201_9), ~left_apart_point(A39_2201_9, reverse_line(L40_2201_9))
% 293.42/42.87
% 293.42/42.87 [25608] CLOSURE : ~left_apart_point(A39_2201_9, L40_2201_9)
% 293.42/42.87
% 293.42/42.87 [25563] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [25622] ~(left_apart_point(A39_2207_9, L40_2207_9) | left_apart_point(A39_2207_9, reverse_line(L40_2207_9)))
% 293.42/42.87
% 293.42/42.87 [25622] ALPHA_NOT_OR : ~(left_apart_point(A39_2207_9, L40_2207_9) | left_apart_point(A39_2207_9, reverse_line(L40_2207_9)))
% 293.42/42.87 -> [25623] ~left_apart_point(A39_2207_9, L40_2207_9), ~left_apart_point(A39_2207_9, reverse_line(L40_2207_9))
% 293.42/42.87
% 293.42/42.87 [25623] CLOSURE : ~left_apart_point(A39_2207_9, L40_2207_9)
% 293.42/42.87
% 293.42/42.87 [25560] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1114_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1114_8)))
% 293.42/42.87 -> [25581] ~unequally_directed_lines(skolem_N7979, M38_1114_8)
% 293.42/42.87 -> [25582] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1114_8))
% 293.42/42.87
% 293.42/42.87 [25582] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1114_8))
% 293.42/42.87
% 293.42/42.87 [25581] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1114_8)
% 293.42/42.87
% 293.42/42.87 [459] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.42/42.87 -> [492] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.87 -> [493] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.87
% 293.42/42.87 [493] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.87 -> [497] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.87
% 293.42/42.87 [497] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.87 -> [502] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.42/42.87 -> [503] ~~(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)))
% 293.42/42.87
% 293.42/42.87 [503] 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)))
% 293.42/42.87 -> [508] (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)))
% 293.42/42.87
% 293.42/42.87 [508] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.87 -> [512] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.42/42.87 -> [513] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [513] 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)))
% 293.42/42.87 -> [735] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 293.42/42.87 -> [736] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [736] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.87 -> [907] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.87
% 293.42/42.87 [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))))
% 293.42/42.87 -> [1067] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.87
% 293.42/42.87 [1067] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.87 -> [1324] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.87 -> [1325] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.87
% 293.42/42.87 [1324] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.87
% 293.42/42.87 [1325] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.87 -> [5230] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.87 -> [5231] distinct_points(skolem_A8080, skolem_B8181)
% 293.42/42.87
% 293.42/42.87 [5230] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.87
% 293.42/42.87 [5231] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.87 -> [5725] ~distinct_lines(N27_179_3, N27_179_3)
% 293.42/42.87
% 293.42/42.87 [5725] 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))))
% 293.42/42.87 -> [5999] (distinct_lines(N27_179_3, N27_179_3) => (distinct_lines(N27_179_3, N27_179_3) | distinct_lines(N27_179_3, N27_179_3)))
% 293.42/42.87
% 293.42/42.87 [5999] BETA_IMPLY : (distinct_lines(N27_179_3, N27_179_3) => (distinct_lines(N27_179_3, N27_179_3) | distinct_lines(N27_179_3, N27_179_3)))
% 293.42/42.87 -> [6000] ~distinct_lines(N27_179_3, N27_179_3)
% 293.42/42.87 -> [6001] (distinct_lines(N27_179_3, N27_179_3) | distinct_lines(N27_179_3, N27_179_3))
% 293.42/42.87
% 293.42/42.87 [6001] BETA_OR : (distinct_lines(N27_179_3, N27_179_3) | distinct_lines(N27_179_3, N27_179_3))
% 293.42/42.87 -> [6003] distinct_lines(N27_179_3, N27_179_3)
% 293.42/42.87 -> [6004] distinct_lines(N27_179_3, N27_179_3)
% 293.42/42.87
% 293.42/42.87 [6003] CLOSURE : distinct_lines(N27_179_3, N27_179_3)
% 293.42/42.87
% 293.42/42.87 [6004] CLOSURE : distinct_lines(N27_179_3, N27_179_3)
% 293.42/42.87
% 293.42/42.87 [6000] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.87 -> [6103] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [6103] 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))))
% 293.42/42.87 -> [6206] (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)))
% 293.42/42.87
% 293.42/42.87 [6206] 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)))
% 293.42/42.87 -> [6208] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87 -> [6209] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [6208] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [6209] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.87 -> [8756] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.87 -> [8757] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [8756] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [8757] 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))))))
% 293.42/42.87 -> [12531] ((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)))))
% 293.42/42.87
% 293.42/42.87 [12531] 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)))))
% 293.42/42.87 -> [12536] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.87 -> [12537] ((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))))
% 293.42/42.87
% 293.42/42.87 [12536] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.87 -> [12595] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.87 -> [12596] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [12595] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.87
% 293.42/42.87 [12596] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [12537] 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))))
% 293.42/42.87 -> [16090] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [16091] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.87
% 293.42/42.87 [16090] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [16147] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [16147] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [16091] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [16098] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [16098] 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)))))
% 293.42/42.87 -> [17613] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.87
% 293.42/42.87 [17613] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.87 -> [17615] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.87 -> [17616] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.87
% 293.42/42.87 [17615] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.87 -> [17720] ~line(skolem_M7878)
% 293.42/42.87 -> [17721] ~line(skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [17720] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [17792] ((unequally_directed_lines(skolem_N7979, M38_603_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_603_8))) => (left_convergent_lines(skolem_N7979, M38_603_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_603_8))))
% 293.42/42.87
% 293.42/42.87 [17792] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_603_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_603_8))) => (left_convergent_lines(skolem_N7979, M38_603_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_603_8))))
% 293.42/42.87 -> [17795] ~(unequally_directed_lines(skolem_N7979, M38_603_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_603_8)))
% 293.42/42.87 -> [17796] (left_convergent_lines(skolem_N7979, M38_603_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_603_8)))
% 293.42/42.87
% 293.42/42.87 [17795] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_603_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_603_8)))
% 293.42/42.87 -> [17808] ~unequally_directed_lines(skolem_N7979, M38_603_8)
% 293.42/42.87 -> [17809] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_603_8))
% 293.42/42.87
% 293.42/42.87 [17809] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_603_8))
% 293.42/42.87
% 293.42/42.87 [17808] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_603_8)
% 293.42/42.87
% 293.42/42.87 [17796] BETA_OR : (left_convergent_lines(skolem_N7979, M38_603_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_603_8)))
% 293.42/42.87 -> [17802] left_convergent_lines(skolem_N7979, M38_603_8)
% 293.42/42.87 -> [17803] left_convergent_lines(skolem_N7979, reverse_line(M38_603_8))
% 293.42/42.87
% 293.42/42.87 [17803] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [17823] ~(left_apart_point(A39_1152_9, L40_1152_9) | left_apart_point(A39_1152_9, reverse_line(L40_1152_9)))
% 293.42/42.87
% 293.42/42.87 [17823] ALPHA_NOT_OR : ~(left_apart_point(A39_1152_9, L40_1152_9) | left_apart_point(A39_1152_9, reverse_line(L40_1152_9)))
% 293.42/42.87 -> [17824] ~left_apart_point(A39_1152_9, L40_1152_9), ~left_apart_point(A39_1152_9, reverse_line(L40_1152_9))
% 293.42/42.87
% 293.42/42.87 [17824] CLOSURE : ~left_apart_point(A39_1152_9, L40_1152_9)
% 293.42/42.87
% 293.42/42.87 [17802] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [17827] ~(left_apart_point(A39_1154_9, L40_1154_9) | left_apart_point(A39_1154_9, reverse_line(L40_1154_9)))
% 293.42/42.87
% 293.42/42.87 [17827] ALPHA_NOT_OR : ~(left_apart_point(A39_1154_9, L40_1154_9) | left_apart_point(A39_1154_9, reverse_line(L40_1154_9)))
% 293.42/42.87 -> [17828] ~left_apart_point(A39_1154_9, L40_1154_9), ~left_apart_point(A39_1154_9, reverse_line(L40_1154_9))
% 293.42/42.87
% 293.42/42.87 [17828] CLOSURE : ~left_apart_point(A39_1154_9, L40_1154_9)
% 293.42/42.87
% 293.42/42.87 [17721] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [17926] ((unequally_directed_lines(skolem_N7979, M38_613_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_613_8))) => (left_convergent_lines(skolem_N7979, M38_613_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_613_8))))
% 293.42/42.87
% 293.42/42.87 [17926] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_613_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_613_8))) => (left_convergent_lines(skolem_N7979, M38_613_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_613_8))))
% 293.42/42.87 -> [17931] ~(unequally_directed_lines(skolem_N7979, M38_613_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_613_8)))
% 293.42/42.87 -> [17932] (left_convergent_lines(skolem_N7979, M38_613_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_613_8)))
% 293.42/42.87
% 293.42/42.87 [17931] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_613_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_613_8)))
% 293.42/42.87 -> [18021] ~unequally_directed_lines(skolem_N7979, M38_613_8)
% 293.42/42.87 -> [18022] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_613_8))
% 293.42/42.87
% 293.42/42.87 [18022] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_613_8))
% 293.42/42.87
% 293.42/42.87 [18021] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_613_8)
% 293.42/42.87
% 293.42/42.87 [17932] BETA_OR : (left_convergent_lines(skolem_N7979, M38_613_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_613_8)))
% 293.42/42.87 -> [17937] left_convergent_lines(skolem_N7979, M38_613_8)
% 293.42/42.87 -> [17938] left_convergent_lines(skolem_N7979, reverse_line(M38_613_8))
% 293.42/42.87
% 293.42/42.87 [17938] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [18214] ~(left_apart_point(A39_1188_9, L40_1188_9) | left_apart_point(A39_1188_9, reverse_line(L40_1188_9)))
% 293.42/42.87
% 293.42/42.87 [18214] ALPHA_NOT_OR : ~(left_apart_point(A39_1188_9, L40_1188_9) | left_apart_point(A39_1188_9, reverse_line(L40_1188_9)))
% 293.42/42.87 -> [18216] ~left_apart_point(A39_1188_9, L40_1188_9), ~left_apart_point(A39_1188_9, reverse_line(L40_1188_9))
% 293.42/42.87
% 293.42/42.87 [18216] CLOSURE : ~left_apart_point(A39_1188_9, L40_1188_9)
% 293.42/42.87
% 293.42/42.87 [17937] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [18260] ~(left_apart_point(A39_1199_9, L40_1199_9) | left_apart_point(A39_1199_9, reverse_line(L40_1199_9)))
% 293.42/42.87
% 293.42/42.87 [18260] ALPHA_NOT_OR : ~(left_apart_point(A39_1199_9, L40_1199_9) | left_apart_point(A39_1199_9, reverse_line(L40_1199_9)))
% 293.42/42.87 -> [18263] ~left_apart_point(A39_1199_9, L40_1199_9), ~left_apart_point(A39_1199_9, reverse_line(L40_1199_9))
% 293.42/42.87
% 293.42/42.87 [18263] CLOSURE : ~left_apart_point(A39_1199_9, L40_1199_9)
% 293.42/42.87
% 293.42/42.87 [17616] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [17617] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.87 -> [17618] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [17617] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [17618] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [17943] ((unequally_directed_lines(skolem_N7979, M38_614_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_614_8))) => (left_convergent_lines(skolem_N7979, M38_614_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_614_8))))
% 293.42/42.87
% 293.42/42.87 [17943] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_614_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_614_8))) => (left_convergent_lines(skolem_N7979, M38_614_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_614_8))))
% 293.42/42.87 -> [17945] ~(unequally_directed_lines(skolem_N7979, M38_614_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_614_8)))
% 293.42/42.87 -> [17946] (left_convergent_lines(skolem_N7979, M38_614_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_614_8)))
% 293.42/42.87
% 293.42/42.87 [17945] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_614_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_614_8)))
% 293.42/42.87 -> [18027] ~unequally_directed_lines(skolem_N7979, M38_614_8)
% 293.42/42.87 -> [18028] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_614_8))
% 293.42/42.87
% 293.42/42.87 [18028] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_614_8))
% 293.42/42.87
% 293.42/42.87 [18027] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_614_8)
% 293.42/42.87
% 293.42/42.87 [17946] BETA_OR : (left_convergent_lines(skolem_N7979, M38_614_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_614_8)))
% 293.42/42.87 -> [17951] left_convergent_lines(skolem_N7979, M38_614_8)
% 293.42/42.87 -> [17952] left_convergent_lines(skolem_N7979, reverse_line(M38_614_8))
% 293.42/42.87
% 293.42/42.87 [17952] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [18224] ~(left_apart_point(A39_1191_9, L40_1191_9) | left_apart_point(A39_1191_9, reverse_line(L40_1191_9)))
% 293.42/42.87
% 293.42/42.87 [18224] ALPHA_NOT_OR : ~(left_apart_point(A39_1191_9, L40_1191_9) | left_apart_point(A39_1191_9, reverse_line(L40_1191_9)))
% 293.42/42.87 -> [18228] ~left_apart_point(A39_1191_9, L40_1191_9), ~left_apart_point(A39_1191_9, reverse_line(L40_1191_9))
% 293.42/42.87
% 293.42/42.87 [18228] CLOSURE : ~left_apart_point(A39_1191_9, L40_1191_9)
% 293.42/42.87
% 293.42/42.87 [17951] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [18314] ~(left_apart_point(A39_1207_9, L40_1207_9) | left_apart_point(A39_1207_9, reverse_line(L40_1207_9)))
% 293.42/42.87
% 293.42/42.87 [18314] ALPHA_NOT_OR : ~(left_apart_point(A39_1207_9, L40_1207_9) | left_apart_point(A39_1207_9, reverse_line(L40_1207_9)))
% 293.42/42.87 -> [18317] ~left_apart_point(A39_1207_9, L40_1207_9), ~left_apart_point(A39_1207_9, reverse_line(L40_1207_9))
% 293.42/42.87
% 293.42/42.87 [18317] CLOSURE : ~left_apart_point(A39_1207_9, L40_1207_9)
% 293.42/42.87
% 293.42/42.87 [735] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.87 -> [933] ~distinct_points(C23_139_1, C23_139_1)
% 293.42/42.87
% 293.42/42.87 [933] 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))))
% 293.42/42.87 -> [1693] (distinct_points(C23_139_1, C23_139_1) => (distinct_points(C23_139_1, C23_139_1) | distinct_points(C23_139_1, C23_139_1)))
% 293.42/42.87
% 293.42/42.87 [1693] BETA_IMPLY : (distinct_points(C23_139_1, C23_139_1) => (distinct_points(C23_139_1, C23_139_1) | distinct_points(C23_139_1, C23_139_1)))
% 293.42/42.87 -> [1698] ~distinct_points(C23_139_1, C23_139_1)
% 293.42/42.87 -> [1699] (distinct_points(C23_139_1, C23_139_1) | distinct_points(C23_139_1, C23_139_1))
% 293.42/42.87
% 293.42/42.87 [1699] BETA_OR : (distinct_points(C23_139_1, C23_139_1) | distinct_points(C23_139_1, C23_139_1))
% 293.42/42.87 -> [1702] distinct_points(C23_139_1, C23_139_1)
% 293.42/42.87 -> [1703] distinct_points(C23_139_1, C23_139_1)
% 293.42/42.87
% 293.42/42.87 [1703] CLOSURE : distinct_points(C23_139_1, C23_139_1)
% 293.42/42.87
% 293.42/42.87 [1702] CLOSURE : distinct_points(C23_139_1, C23_139_1)
% 293.42/42.87
% 293.42/42.87 [1698] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.87 -> [4987] ~distinct_lines(N27_136_3, N27_136_3)
% 293.42/42.87
% 293.42/42.87 [4987] 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))))
% 293.42/42.87 -> [5089] (distinct_lines(N27_136_3, N27_136_3) => (distinct_lines(N27_136_3, N27_136_3) | distinct_lines(N27_136_3, N27_136_3)))
% 293.42/42.87
% 293.42/42.87 [5089] BETA_IMPLY : (distinct_lines(N27_136_3, N27_136_3) => (distinct_lines(N27_136_3, N27_136_3) | distinct_lines(N27_136_3, N27_136_3)))
% 293.42/42.87 -> [5092] ~distinct_lines(N27_136_3, N27_136_3)
% 293.42/42.87 -> [5093] (distinct_lines(N27_136_3, N27_136_3) | distinct_lines(N27_136_3, N27_136_3))
% 293.42/42.87
% 293.42/42.87 [5093] BETA_OR : (distinct_lines(N27_136_3, N27_136_3) | distinct_lines(N27_136_3, N27_136_3))
% 293.42/42.87 -> [5097] distinct_lines(N27_136_3, N27_136_3)
% 293.42/42.87 -> [5098] distinct_lines(N27_136_3, N27_136_3)
% 293.42/42.87
% 293.42/42.87 [5097] CLOSURE : distinct_lines(N27_136_3, N27_136_3)
% 293.42/42.87
% 293.42/42.87 [5098] CLOSURE : distinct_lines(N27_136_3, N27_136_3)
% 293.42/42.87
% 293.42/42.87 [5092] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.87 -> [5218] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [5218] 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))))
% 293.42/42.87 -> [5355] (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))))
% 293.42/42.87
% 293.42/42.87 [5355] 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))))
% 293.42/42.87 -> [5356] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87 -> [5357] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.87
% 293.42/42.87 [5356] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [5357] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.87 -> [8296] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87 -> [8297] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [8297] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [8296] 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))))))
% 293.42/42.87 -> [11462] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_153_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_153_6))) | (unequally_directed_lines(skolem_N7979, N34_153_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_153_6)))))
% 293.42/42.87
% 293.42/42.87 [11462] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_153_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_153_6))) | (unequally_directed_lines(skolem_N7979, N34_153_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_153_6)))))
% 293.42/42.87 -> [11463] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.87 -> [11464] ((unequally_directed_lines(skolem_M7878, N34_153_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_153_6))) | (unequally_directed_lines(skolem_N7979, N34_153_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_153_6))))
% 293.42/42.87
% 293.42/42.87 [11463] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.87 -> [11509] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.87 -> [11510] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [11510] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [11509] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.87
% 293.42/42.87 [11464] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_153_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_153_6))) | (unequally_directed_lines(skolem_N7979, N34_153_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_153_6))))
% 293.42/42.87 -> [20676] (unequally_directed_lines(skolem_M7878, N34_153_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_153_6)))
% 293.42/42.87 -> [20677] (unequally_directed_lines(skolem_N7979, N34_153_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_153_6)))
% 293.42/42.87
% 293.42/42.87 [20677] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_153_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_153_6)))
% 293.42/42.87 -> [20691] unequally_directed_lines(skolem_N7979, N34_153_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_153_6))
% 293.42/42.87
% 293.42/42.87 [20691] 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)))))
% 293.42/42.87 -> [20740] ((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))))
% 293.42/42.87
% 293.42/42.87 [20740] 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))))
% 293.42/42.87 -> [20741] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.87 -> [20742] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.87
% 293.42/42.87 [20741] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.87 -> [20762] ~line(reverse_line(skolem_N7979))
% 293.42/42.87 -> [20763] ~line(skolem_N7979)
% 293.42/42.87
% 293.42/42.87 [20762] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [20824] ((unequally_directed_lines(skolem_N7979, M38_788_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_788_8))) => (left_convergent_lines(skolem_N7979, M38_788_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_788_8))))
% 293.42/42.87
% 293.42/42.87 [20824] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_788_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_788_8))) => (left_convergent_lines(skolem_N7979, M38_788_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_788_8))))
% 293.42/42.87 -> [20827] ~(unequally_directed_lines(skolem_N7979, M38_788_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_788_8)))
% 293.42/42.87 -> [20828] (left_convergent_lines(skolem_N7979, M38_788_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_788_8)))
% 293.42/42.87
% 293.42/42.87 [20827] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_788_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_788_8)))
% 293.42/42.87 -> [20896] ~unequally_directed_lines(skolem_N7979, M38_788_8)
% 293.42/42.87 -> [20897] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_788_8))
% 293.42/42.87
% 293.42/42.87 [20897] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_788_8))
% 293.42/42.87
% 293.42/42.87 [20896] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_788_8)
% 293.42/42.87
% 293.42/42.87 [20828] BETA_OR : (left_convergent_lines(skolem_N7979, M38_788_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_788_8)))
% 293.42/42.87 -> [20834] left_convergent_lines(skolem_N7979, M38_788_8)
% 293.42/42.87 -> [20835] left_convergent_lines(skolem_N7979, reverse_line(M38_788_8))
% 293.42/42.87
% 293.42/42.87 [20835] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [20981] ~(left_apart_point(A39_1526_9, L40_1526_9) | left_apart_point(A39_1526_9, reverse_line(L40_1526_9)))
% 293.42/42.87
% 293.42/42.87 [20981] ALPHA_NOT_OR : ~(left_apart_point(A39_1526_9, L40_1526_9) | left_apart_point(A39_1526_9, reverse_line(L40_1526_9)))
% 293.42/42.87 -> [20982] ~left_apart_point(A39_1526_9, L40_1526_9), ~left_apart_point(A39_1526_9, reverse_line(L40_1526_9))
% 293.42/42.87
% 293.42/42.87 [20982] CLOSURE : ~left_apart_point(A39_1526_9, L40_1526_9)
% 293.42/42.87
% 293.42/42.87 [20834] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [21047] ~(left_apart_point(A39_1533_9, L40_1533_9) | left_apart_point(A39_1533_9, reverse_line(L40_1533_9)))
% 293.42/42.87
% 293.42/42.87 [21047] ALPHA_NOT_OR : ~(left_apart_point(A39_1533_9, L40_1533_9) | left_apart_point(A39_1533_9, reverse_line(L40_1533_9)))
% 293.42/42.87 -> [21048] ~left_apart_point(A39_1533_9, L40_1533_9), ~left_apart_point(A39_1533_9, reverse_line(L40_1533_9))
% 293.42/42.87
% 293.42/42.87 [21048] CLOSURE : ~left_apart_point(A39_1533_9, L40_1533_9)
% 293.42/42.87
% 293.42/42.87 [20763] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [20841] ((unequally_directed_lines(skolem_N7979, M38_790_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_790_8))) => (left_convergent_lines(skolem_N7979, M38_790_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_790_8))))
% 293.42/42.87
% 293.42/42.87 [20841] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_790_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_790_8))) => (left_convergent_lines(skolem_N7979, M38_790_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_790_8))))
% 293.42/42.87 -> [20844] ~(unequally_directed_lines(skolem_N7979, M38_790_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_790_8)))
% 293.42/42.87 -> [20845] (left_convergent_lines(skolem_N7979, M38_790_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_790_8)))
% 293.42/42.87
% 293.42/42.87 [20844] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_790_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_790_8)))
% 293.42/42.87 -> [20907] ~unequally_directed_lines(skolem_N7979, M38_790_8)
% 293.42/42.87 -> [20908] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_790_8))
% 293.42/42.87
% 293.42/42.87 [20908] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_790_8))
% 293.42/42.87
% 293.42/42.87 [20907] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_790_8)
% 293.42/42.87
% 293.42/42.87 [20845] BETA_OR : (left_convergent_lines(skolem_N7979, M38_790_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_790_8)))
% 293.42/42.87 -> [20848] left_convergent_lines(skolem_N7979, M38_790_8)
% 293.42/42.87 -> [20849] left_convergent_lines(skolem_N7979, reverse_line(M38_790_8))
% 293.42/42.87
% 293.42/42.87 [20849] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [20987] ~(left_apart_point(A39_1527_9, L40_1527_9) | left_apart_point(A39_1527_9, reverse_line(L40_1527_9)))
% 293.42/42.87
% 293.42/42.87 [20987] ALPHA_NOT_OR : ~(left_apart_point(A39_1527_9, L40_1527_9) | left_apart_point(A39_1527_9, reverse_line(L40_1527_9)))
% 293.42/42.87 -> [20990] ~left_apart_point(A39_1527_9, L40_1527_9), ~left_apart_point(A39_1527_9, reverse_line(L40_1527_9))
% 293.42/42.87
% 293.42/42.87 [20990] CLOSURE : ~left_apart_point(A39_1527_9, L40_1527_9)
% 293.42/42.87
% 293.42/42.87 [20848] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [21055] ~(left_apart_point(A39_1536_9, L40_1536_9) | left_apart_point(A39_1536_9, reverse_line(L40_1536_9)))
% 293.42/42.87
% 293.42/42.87 [21055] ALPHA_NOT_OR : ~(left_apart_point(A39_1536_9, L40_1536_9) | left_apart_point(A39_1536_9, reverse_line(L40_1536_9)))
% 293.42/42.87 -> [21057] ~left_apart_point(A39_1536_9, L40_1536_9), ~left_apart_point(A39_1536_9, reverse_line(L40_1536_9))
% 293.42/42.87
% 293.42/42.87 [21057] CLOSURE : ~left_apart_point(A39_1536_9, L40_1536_9)
% 293.42/42.87
% 293.42/42.87 [20742] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.87 -> [20744] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 293.42/42.87 -> [20745] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [20745] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [20744] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [23110] ((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))))
% 293.42/42.87
% 293.42/42.87 [23110] 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))))
% 293.42/42.87 -> [23112] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.87 -> [23115] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.87
% 293.42/42.87 [23112] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.87 -> [23162] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.87 -> [23163] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [23163] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [23162] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.87
% 293.42/42.87 [23115] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.87 -> [23122] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.87 -> [23123] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [23123] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [23205] ~(left_apart_point(A39_1839_9, L40_1839_9) | left_apart_point(A39_1839_9, reverse_line(L40_1839_9)))
% 293.42/42.87
% 293.42/42.87 [23205] ALPHA_NOT_OR : ~(left_apart_point(A39_1839_9, L40_1839_9) | left_apart_point(A39_1839_9, reverse_line(L40_1839_9)))
% 293.42/42.87 -> [23206] ~left_apart_point(A39_1839_9, L40_1839_9), ~left_apart_point(A39_1839_9, reverse_line(L40_1839_9))
% 293.42/42.87
% 293.42/42.87 [23206] CLOSURE : ~left_apart_point(A39_1839_9, L40_1839_9)
% 293.42/42.87
% 293.42/42.87 [23122] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [23230] ~(left_apart_point(A39_1844_9, L40_1844_9) | left_apart_point(A39_1844_9, reverse_line(L40_1844_9)))
% 293.42/42.87
% 293.42/42.87 [23230] ALPHA_NOT_OR : ~(left_apart_point(A39_1844_9, L40_1844_9) | left_apart_point(A39_1844_9, reverse_line(L40_1844_9)))
% 293.42/42.87 -> [23232] ~left_apart_point(A39_1844_9, L40_1844_9), ~left_apart_point(A39_1844_9, reverse_line(L40_1844_9))
% 293.42/42.87
% 293.42/42.87 [23232] CLOSURE : ~left_apart_point(A39_1844_9, L40_1844_9)
% 293.42/42.87
% 293.42/42.87 [20676] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_153_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_153_6)))
% 293.42/42.87 -> [20699] unequally_directed_lines(skolem_M7878, N34_153_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_153_6))
% 293.42/42.87
% 293.42/42.87 [20699] 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)))))
% 293.42/42.87 -> [20750] ((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)))))
% 293.42/42.87
% 293.42/42.87 [20750] 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)))))
% 293.42/42.87 -> [20751] ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.87 -> [20752] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 293.42/42.87
% 293.42/42.87 [20751] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.87 -> [20778] ~line(reverse_line(skolem_N7979))
% 293.42/42.87 -> [20779] ~line(reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [20779] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [20809] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.87
% 293.42/42.87 [20809] 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))))
% 293.42/42.87 -> [20813] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [20814] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87
% 293.42/42.87 [20813] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [20883] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87 -> [20884] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [20883] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [20884] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [20814] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [20819] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87 -> [20820] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [20819] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [21028] ~(left_apart_point(A39_1529_9, L40_1529_9) | left_apart_point(A39_1529_9, reverse_line(L40_1529_9)))
% 293.42/42.87
% 293.42/42.87 [21028] ALPHA_NOT_OR : ~(left_apart_point(A39_1529_9, L40_1529_9) | left_apart_point(A39_1529_9, reverse_line(L40_1529_9)))
% 293.42/42.87 -> [21029] ~left_apart_point(A39_1529_9, L40_1529_9), ~left_apart_point(A39_1529_9, reverse_line(L40_1529_9))
% 293.42/42.87
% 293.42/42.87 [21029] CLOSURE : ~left_apart_point(A39_1529_9, L40_1529_9)
% 293.42/42.87
% 293.42/42.87 [20820] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [21033] ~(left_apart_point(A39_1531_9, L40_1531_9) | left_apart_point(A39_1531_9, reverse_line(L40_1531_9)))
% 293.42/42.87
% 293.42/42.87 [21033] ALPHA_NOT_OR : ~(left_apart_point(A39_1531_9, L40_1531_9) | left_apart_point(A39_1531_9, reverse_line(L40_1531_9)))
% 293.42/42.87 -> [21037] ~left_apart_point(A39_1531_9, L40_1531_9), ~left_apart_point(A39_1531_9, reverse_line(L40_1531_9))
% 293.42/42.87
% 293.42/42.87 [21037] CLOSURE : ~left_apart_point(A39_1531_9, L40_1531_9)
% 293.42/42.87
% 293.42/42.87 [20778] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [20859] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.87
% 293.42/42.87 [20859] 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))))
% 293.42/42.87 -> [20860] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [20861] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87
% 293.42/42.87 [20860] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [20920] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87 -> [20921] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [20921] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [20920] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [20861] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [20869] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87 -> [20870] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [20870] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [20993] ~(left_apart_point(A39_1528_9, L40_1528_9) | left_apart_point(A39_1528_9, reverse_line(L40_1528_9)))
% 293.42/42.87
% 293.42/42.87 [20993] ALPHA_NOT_OR : ~(left_apart_point(A39_1528_9, L40_1528_9) | left_apart_point(A39_1528_9, reverse_line(L40_1528_9)))
% 293.42/42.87 -> [20996] ~left_apart_point(A39_1528_9, L40_1528_9), ~left_apart_point(A39_1528_9, reverse_line(L40_1528_9))
% 293.42/42.87
% 293.42/42.87 [20996] CLOSURE : ~left_apart_point(A39_1528_9, L40_1528_9)
% 293.42/42.87
% 293.42/42.87 [20869] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [21100] ~(left_apart_point(A39_1537_9, L40_1537_9) | left_apart_point(A39_1537_9, reverse_line(L40_1537_9)))
% 293.42/42.87
% 293.42/42.87 [21100] ALPHA_NOT_OR : ~(left_apart_point(A39_1537_9, L40_1537_9) | left_apart_point(A39_1537_9, reverse_line(L40_1537_9)))
% 293.42/42.87 -> [21103] ~left_apart_point(A39_1537_9, L40_1537_9), ~left_apart_point(A39_1537_9, reverse_line(L40_1537_9))
% 293.42/42.87
% 293.42/42.87 [21103] CLOSURE : ~left_apart_point(A39_1537_9, L40_1537_9)
% 293.42/42.87
% 293.42/42.87 [20752] 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))))
% 293.42/42.87 -> [20755] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.87 -> [20756] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 293.42/42.87
% 293.42/42.87 [20755] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [20756] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [23568] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.87
% 293.42/42.87 [23568] 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))))
% 293.42/42.87 -> [23572] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [23573] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87
% 293.42/42.87 [23573] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [23577] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87 -> [23578] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [23578] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [23868] ~(left_apart_point(A39_1943_9, L40_1943_9) | left_apart_point(A39_1943_9, reverse_line(L40_1943_9)))
% 293.42/42.87
% 293.42/42.87 [23868] ALPHA_NOT_OR : ~(left_apart_point(A39_1943_9, L40_1943_9) | left_apart_point(A39_1943_9, reverse_line(L40_1943_9)))
% 293.42/42.87 -> [23869] ~left_apart_point(A39_1943_9, L40_1943_9), ~left_apart_point(A39_1943_9, reverse_line(L40_1943_9))
% 293.42/42.87
% 293.42/42.87 [23869] CLOSURE : ~left_apart_point(A39_1943_9, L40_1943_9)
% 293.42/42.87
% 293.42/42.87 [23577] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [23892] ~(left_apart_point(A39_1947_9, L40_1947_9) | left_apart_point(A39_1947_9, reverse_line(L40_1947_9)))
% 293.42/42.87
% 293.42/42.87 [23892] ALPHA_NOT_OR : ~(left_apart_point(A39_1947_9, L40_1947_9) | left_apart_point(A39_1947_9, reverse_line(L40_1947_9)))
% 293.42/42.87 -> [23893] ~left_apart_point(A39_1947_9, L40_1947_9), ~left_apart_point(A39_1947_9, reverse_line(L40_1947_9))
% 293.42/42.87
% 293.42/42.87 [23893] CLOSURE : ~left_apart_point(A39_1947_9, L40_1947_9)
% 293.42/42.87
% 293.42/42.87 [23572] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [23726] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87 -> [23727] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [23727] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [23726] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [512] 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)))
% 293.42/42.87 -> [1849] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 293.42/42.87 -> [1850] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [1850] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.87 -> [3531] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.87
% 293.42/42.87 [3531] 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))))
% 293.42/42.87 -> [3643] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.87
% 293.42/42.87 [3643] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.87 -> [3644] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.87 -> [3645] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.87
% 293.42/42.87 [3644] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.87
% 293.42/42.87 [3645] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.87 -> [6550] distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.87 -> [6551] distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.87
% 293.42/42.87 [6551] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.87
% 293.42/42.87 [6550] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.87 -> [8377] ~distinct_lines(N27_269_3, N27_269_3)
% 293.42/42.87
% 293.42/42.87 [8377] 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))))
% 293.42/42.87 -> [9206] (distinct_lines(N27_269_3, N27_269_3) => (distinct_lines(N27_269_3, N27_269_3) | distinct_lines(N27_269_3, N27_269_3)))
% 293.42/42.87
% 293.42/42.87 [9206] BETA_IMPLY : (distinct_lines(N27_269_3, N27_269_3) => (distinct_lines(N27_269_3, N27_269_3) | distinct_lines(N27_269_3, N27_269_3)))
% 293.42/42.87 -> [9210] ~distinct_lines(N27_269_3, N27_269_3)
% 293.42/42.87 -> [9211] (distinct_lines(N27_269_3, N27_269_3) | distinct_lines(N27_269_3, N27_269_3))
% 293.42/42.87
% 293.42/42.87 [9211] BETA_OR : (distinct_lines(N27_269_3, N27_269_3) | distinct_lines(N27_269_3, N27_269_3))
% 293.42/42.87 -> [9214] distinct_lines(N27_269_3, N27_269_3)
% 293.42/42.87 -> [9215] distinct_lines(N27_269_3, N27_269_3)
% 293.42/42.87
% 293.42/42.87 [9215] CLOSURE : distinct_lines(N27_269_3, N27_269_3)
% 293.42/42.87
% 293.42/42.87 [9214] CLOSURE : distinct_lines(N27_269_3, N27_269_3)
% 293.42/42.87
% 293.42/42.87 [9210] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.87 -> [9306] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [9306] 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))))
% 293.42/42.87 -> [11855] (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)))
% 293.42/42.87
% 293.42/42.87 [11855] 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)))
% 293.42/42.87 -> [11856] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87 -> [11857] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [11856] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [11857] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.87 -> [20423] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.87 -> [20424] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [20423] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [20424] 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))))))
% 293.42/42.87 -> [20775] ((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)))))
% 293.42/42.87
% 293.42/42.87 [20775] 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)))))
% 293.42/42.87 -> [20776] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.87 -> [20777] ((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))))
% 293.42/42.87
% 293.42/42.87 [20776] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.87 -> [20785] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.87 -> [20786] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [20786] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [20785] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.87
% 293.42/42.87 [20777] 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))))
% 293.42/42.87 -> [23520] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [23521] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.87
% 293.42/42.87 [23520] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [23529] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [23529] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [23521] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [23524] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [23524] 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)))))
% 293.42/42.87 -> [23843] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.87
% 293.42/42.87 [23843] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.87 -> [23845] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.87 -> [23846] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.87
% 293.42/42.87 [23846] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [23850] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.87 -> [23851] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [23850] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [23851] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [23862] ((unequally_directed_lines(skolem_N7979, M38_994_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_994_8))) => (left_convergent_lines(skolem_N7979, M38_994_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_994_8))))
% 293.42/42.87
% 293.42/42.87 [23862] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_994_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_994_8))) => (left_convergent_lines(skolem_N7979, M38_994_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_994_8))))
% 293.42/42.87 -> [24015] ~(unequally_directed_lines(skolem_N7979, M38_994_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_994_8)))
% 293.42/42.87 -> [24016] (left_convergent_lines(skolem_N7979, M38_994_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_994_8)))
% 293.42/42.87
% 293.42/42.87 [24015] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_994_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_994_8)))
% 293.42/42.87 -> [24052] ~unequally_directed_lines(skolem_N7979, M38_994_8)
% 293.42/42.87 -> [24053] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_994_8))
% 293.42/42.87
% 293.42/42.87 [24053] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_994_8))
% 293.42/42.87
% 293.42/42.87 [24052] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_994_8)
% 293.42/42.87
% 293.42/42.87 [24016] BETA_OR : (left_convergent_lines(skolem_N7979, M38_994_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_994_8)))
% 293.42/42.87 -> [24018] left_convergent_lines(skolem_N7979, M38_994_8)
% 293.42/42.87 -> [24019] left_convergent_lines(skolem_N7979, reverse_line(M38_994_8))
% 293.42/42.87
% 293.42/42.87 [24018] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [24233] ~(left_apart_point(A39_1996_9, L40_1996_9) | left_apart_point(A39_1996_9, reverse_line(L40_1996_9)))
% 293.42/42.87
% 293.42/42.87 [24233] ALPHA_NOT_OR : ~(left_apart_point(A39_1996_9, L40_1996_9) | left_apart_point(A39_1996_9, reverse_line(L40_1996_9)))
% 293.42/42.87 -> [24236] ~left_apart_point(A39_1996_9, L40_1996_9), ~left_apart_point(A39_1996_9, reverse_line(L40_1996_9))
% 293.42/42.87
% 293.42/42.87 [24236] CLOSURE : ~left_apart_point(A39_1996_9, L40_1996_9)
% 293.42/42.87
% 293.42/42.87 [24019] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [24254] ~(left_apart_point(A39_2003_9, L40_2003_9) | left_apart_point(A39_2003_9, reverse_line(L40_2003_9)))
% 293.42/42.87
% 293.42/42.87 [24254] ALPHA_NOT_OR : ~(left_apart_point(A39_2003_9, L40_2003_9) | left_apart_point(A39_2003_9, reverse_line(L40_2003_9)))
% 293.42/42.87 -> [24255] ~left_apart_point(A39_2003_9, L40_2003_9), ~left_apart_point(A39_2003_9, reverse_line(L40_2003_9))
% 293.42/42.87
% 293.42/42.87 [24255] CLOSURE : ~left_apart_point(A39_2003_9, L40_2003_9)
% 293.42/42.87
% 293.42/42.87 [23845] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.87 -> [25246] ~line(skolem_M7878)
% 293.42/42.87 -> [25247] ~line(skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [25247] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [25324] ((unequally_directed_lines(skolem_N7979, M38_1095_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1095_8))) => (left_convergent_lines(skolem_N7979, M38_1095_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1095_8))))
% 293.42/42.87
% 293.42/42.87 [25324] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1095_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1095_8))) => (left_convergent_lines(skolem_N7979, M38_1095_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1095_8))))
% 293.42/42.87 -> [25325] ~(unequally_directed_lines(skolem_N7979, M38_1095_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1095_8)))
% 293.42/42.87 -> [25326] (left_convergent_lines(skolem_N7979, M38_1095_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1095_8)))
% 293.42/42.87
% 293.42/42.87 [25326] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1095_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1095_8)))
% 293.42/42.87 -> [25330] left_convergent_lines(skolem_N7979, M38_1095_8)
% 293.42/42.87 -> [25331] left_convergent_lines(skolem_N7979, reverse_line(M38_1095_8))
% 293.42/42.87
% 293.42/42.87 [25331] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [25343] ~(left_apart_point(A39_2162_9, L40_2162_9) | left_apart_point(A39_2162_9, reverse_line(L40_2162_9)))
% 293.42/42.87
% 293.42/42.87 [25343] ALPHA_NOT_OR : ~(left_apart_point(A39_2162_9, L40_2162_9) | left_apart_point(A39_2162_9, reverse_line(L40_2162_9)))
% 293.42/42.87 -> [25346] ~left_apart_point(A39_2162_9, L40_2162_9), ~left_apart_point(A39_2162_9, reverse_line(L40_2162_9))
% 293.42/42.87
% 293.42/42.87 [25346] CLOSURE : ~left_apart_point(A39_2162_9, L40_2162_9)
% 293.42/42.87
% 293.42/42.87 [25330] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [25398] ~(left_apart_point(A39_2164_9, L40_2164_9) | left_apart_point(A39_2164_9, reverse_line(L40_2164_9)))
% 293.42/42.87
% 293.42/42.87 [25398] ALPHA_NOT_OR : ~(left_apart_point(A39_2164_9, L40_2164_9) | left_apart_point(A39_2164_9, reverse_line(L40_2164_9)))
% 293.42/42.87 -> [25400] ~left_apart_point(A39_2164_9, L40_2164_9), ~left_apart_point(A39_2164_9, reverse_line(L40_2164_9))
% 293.42/42.87
% 293.42/42.87 [25400] CLOSURE : ~left_apart_point(A39_2164_9, L40_2164_9)
% 293.42/42.87
% 293.42/42.87 [25325] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1095_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1095_8)))
% 293.42/42.87 -> [25350] ~unequally_directed_lines(skolem_N7979, M38_1095_8)
% 293.42/42.87 -> [25351] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1095_8))
% 293.42/42.87
% 293.42/42.87 [25351] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1095_8))
% 293.42/42.87
% 293.42/42.87 [25350] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1095_8)
% 293.42/42.87
% 293.42/42.87 [25246] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [25340] ((unequally_directed_lines(skolem_N7979, M38_1096_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1096_8))) => (left_convergent_lines(skolem_N7979, M38_1096_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1096_8))))
% 293.42/42.87
% 293.42/42.87 [25340] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1096_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1096_8))) => (left_convergent_lines(skolem_N7979, M38_1096_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1096_8))))
% 293.42/42.87 -> [25341] ~(unequally_directed_lines(skolem_N7979, M38_1096_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1096_8)))
% 293.42/42.87 -> [25342] (left_convergent_lines(skolem_N7979, M38_1096_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1096_8)))
% 293.42/42.87
% 293.42/42.87 [25341] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1096_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1096_8)))
% 293.42/42.87 -> [25361] ~unequally_directed_lines(skolem_N7979, M38_1096_8)
% 293.42/42.87 -> [25362] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1096_8))
% 293.42/42.87
% 293.42/42.87 [25361] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1096_8)
% 293.42/42.87
% 293.42/42.87 [25362] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1096_8))
% 293.42/42.87
% 293.42/42.87 [25342] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1096_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1096_8)))
% 293.42/42.87 -> [25344] left_convergent_lines(skolem_N7979, M38_1096_8)
% 293.42/42.87 -> [25345] left_convergent_lines(skolem_N7979, reverse_line(M38_1096_8))
% 293.42/42.87
% 293.42/42.87 [25345] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [25722] ~(left_apart_point(A39_2222_9, L40_2222_9) | left_apart_point(A39_2222_9, reverse_line(L40_2222_9)))
% 293.42/42.87
% 293.42/42.87 [25722] ALPHA_NOT_OR : ~(left_apart_point(A39_2222_9, L40_2222_9) | left_apart_point(A39_2222_9, reverse_line(L40_2222_9)))
% 293.42/42.87 -> [25726] ~left_apart_point(A39_2222_9, L40_2222_9), ~left_apart_point(A39_2222_9, reverse_line(L40_2222_9))
% 293.42/42.87
% 293.42/42.87 [25726] CLOSURE : ~left_apart_point(A39_2222_9, L40_2222_9)
% 293.42/42.87
% 293.42/42.87 [25344] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [25739] ~(left_apart_point(A39_2227_9, L40_2227_9) | left_apart_point(A39_2227_9, reverse_line(L40_2227_9)))
% 293.42/42.87
% 293.42/42.87 [25739] ALPHA_NOT_OR : ~(left_apart_point(A39_2227_9, L40_2227_9) | left_apart_point(A39_2227_9, reverse_line(L40_2227_9)))
% 293.42/42.87 -> [25741] ~left_apart_point(A39_2227_9, L40_2227_9), ~left_apart_point(A39_2227_9, reverse_line(L40_2227_9))
% 293.42/42.87
% 293.42/42.87 [25741] CLOSURE : ~left_apart_point(A39_2227_9, L40_2227_9)
% 293.42/42.87
% 293.42/42.87 [1849] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.87 -> [3583] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.87
% 293.42/42.87 [3583] 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))))
% 293.42/42.87 -> [3736] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.87
% 293.42/42.87 [3736] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.87 -> [3737] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.87 -> [3738] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.87
% 293.42/42.87 [3737] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.87
% 293.42/42.87 [3738] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.87 -> [5445] distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.87 -> [5446] distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.87
% 293.42/42.87 [5446] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.87
% 293.42/42.87 [5445] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.87 -> [6405] ~distinct_lines(L25_207_3, L25_207_3)
% 293.42/42.87
% 293.42/42.87 [6405] 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))))
% 293.42/42.87 -> [6587] (distinct_lines(L25_207_3, L25_207_3) => (distinct_lines(L25_207_3, L25_207_3) | distinct_lines(L25_207_3, L25_207_3)))
% 293.42/42.87
% 293.42/42.87 [6587] BETA_IMPLY : (distinct_lines(L25_207_3, L25_207_3) => (distinct_lines(L25_207_3, L25_207_3) | distinct_lines(L25_207_3, L25_207_3)))
% 293.42/42.87 -> [6588] ~distinct_lines(L25_207_3, L25_207_3)
% 293.42/42.87 -> [6589] (distinct_lines(L25_207_3, L25_207_3) | distinct_lines(L25_207_3, L25_207_3))
% 293.42/42.87
% 293.42/42.87 [6589] BETA_OR : (distinct_lines(L25_207_3, L25_207_3) | distinct_lines(L25_207_3, L25_207_3))
% 293.42/42.87 -> [6597] distinct_lines(L25_207_3, L25_207_3)
% 293.42/42.87 -> [6598] distinct_lines(L25_207_3, L25_207_3)
% 293.42/42.87
% 293.42/42.87 [6598] CLOSURE : distinct_lines(L25_207_3, L25_207_3)
% 293.42/42.87
% 293.42/42.87 [6597] CLOSURE : distinct_lines(L25_207_3, L25_207_3)
% 293.42/42.87
% 293.42/42.87 [6588] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.87 -> [6827] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [6827] 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))))
% 293.42/42.87 -> [7037] (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)))
% 293.42/42.87
% 293.42/42.87 [7037] 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)))
% 293.42/42.87 -> [7038] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87 -> [7039] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [7038] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [7039] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.87 -> [19682] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.87 -> [19683] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [19682] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [19683] 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))))))
% 293.42/42.87 -> [20854] ((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)))))
% 293.42/42.87
% 293.42/42.87 [20854] 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)))))
% 293.42/42.87 -> [20855] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.87 -> [20856] ((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))))
% 293.42/42.87
% 293.42/42.87 [20855] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.87 -> [20875] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.87 -> [20876] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [20876] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [20875] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.87
% 293.42/42.87 [20856] 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))))
% 293.42/42.87 -> [24972] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [24973] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.87
% 293.42/42.87 [24972] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [25001] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [25001] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [24973] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [24975] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [24975] 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)))))
% 293.42/42.87 -> [25675] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.87
% 293.42/42.87 [25675] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.87 -> [25678] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.87 -> [25679] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.87
% 293.42/42.87 [25679] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [25681] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.87 -> [25682] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [25681] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [25682] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [25992] ((unequally_directed_lines(skolem_N7979, M38_1142_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1142_8))) => (left_convergent_lines(skolem_N7979, M38_1142_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1142_8))))
% 293.42/42.87
% 293.42/42.87 [25992] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1142_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1142_8))) => (left_convergent_lines(skolem_N7979, M38_1142_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1142_8))))
% 293.42/42.87 -> [25994] ~(unequally_directed_lines(skolem_N7979, M38_1142_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1142_8)))
% 293.42/42.87 -> [25995] (left_convergent_lines(skolem_N7979, M38_1142_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1142_8)))
% 293.42/42.87
% 293.42/42.87 [25995] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1142_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1142_8)))
% 293.42/42.87 -> [25999] left_convergent_lines(skolem_N7979, M38_1142_8)
% 293.42/42.87 -> [26000] left_convergent_lines(skolem_N7979, reverse_line(M38_1142_8))
% 293.42/42.87
% 293.42/42.87 [26000] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [26018] ~(left_apart_point(A39_2271_9, L40_2271_9) | left_apart_point(A39_2271_9, reverse_line(L40_2271_9)))
% 293.42/42.87
% 293.42/42.87 [26018] ALPHA_NOT_OR : ~(left_apart_point(A39_2271_9, L40_2271_9) | left_apart_point(A39_2271_9, reverse_line(L40_2271_9)))
% 293.42/42.87 -> [26022] ~left_apart_point(A39_2271_9, L40_2271_9), ~left_apart_point(A39_2271_9, reverse_line(L40_2271_9))
% 293.42/42.87
% 293.42/42.87 [26022] CLOSURE : ~left_apart_point(A39_2271_9, L40_2271_9)
% 293.42/42.87
% 293.42/42.87 [25999] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [26028] ~(left_apart_point(A39_2274_9, L40_2274_9) | left_apart_point(A39_2274_9, reverse_line(L40_2274_9)))
% 293.42/42.87
% 293.42/42.87 [26028] ALPHA_NOT_OR : ~(left_apart_point(A39_2274_9, L40_2274_9) | left_apart_point(A39_2274_9, reverse_line(L40_2274_9)))
% 293.42/42.87 -> [26034] ~left_apart_point(A39_2274_9, L40_2274_9), ~left_apart_point(A39_2274_9, reverse_line(L40_2274_9))
% 293.42/42.87
% 293.42/42.87 [26034] CLOSURE : ~left_apart_point(A39_2274_9, L40_2274_9)
% 293.42/42.87
% 293.42/42.87 [25994] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1142_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1142_8)))
% 293.42/42.87 -> [26004] ~unequally_directed_lines(skolem_N7979, M38_1142_8)
% 293.42/42.87 -> [26005] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1142_8))
% 293.42/42.87
% 293.42/42.87 [26005] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1142_8))
% 293.42/42.87
% 293.42/42.87 [26004] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1142_8)
% 293.42/42.87
% 293.42/42.87 [25678] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.87 -> [25691] ~line(skolem_M7878)
% 293.42/42.87 -> [25692] ~line(skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [25692] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [25993] ((unequally_directed_lines(skolem_N7979, M38_1143_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1143_8))) => (left_convergent_lines(skolem_N7979, M38_1143_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1143_8))))
% 293.42/42.87
% 293.42/42.87 [25993] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1143_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1143_8))) => (left_convergent_lines(skolem_N7979, M38_1143_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1143_8))))
% 293.42/42.87 -> [25996] ~(unequally_directed_lines(skolem_N7979, M38_1143_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1143_8)))
% 293.42/42.87 -> [25997] (left_convergent_lines(skolem_N7979, M38_1143_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1143_8)))
% 293.42/42.87
% 293.42/42.87 [25996] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1143_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1143_8)))
% 293.42/42.87 -> [26002] ~unequally_directed_lines(skolem_N7979, M38_1143_8)
% 293.42/42.87 -> [26003] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1143_8))
% 293.42/42.87
% 293.42/42.87 [26003] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1143_8))
% 293.42/42.87
% 293.42/42.87 [26002] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1143_8)
% 293.42/42.87
% 293.42/42.87 [25997] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1143_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1143_8)))
% 293.42/42.87 -> [26010] left_convergent_lines(skolem_N7979, M38_1143_8)
% 293.42/42.87 -> [26011] left_convergent_lines(skolem_N7979, reverse_line(M38_1143_8))
% 293.42/42.87
% 293.42/42.87 [26011] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [26027] ~(left_apart_point(A39_2273_9, L40_2273_9) | left_apart_point(A39_2273_9, reverse_line(L40_2273_9)))
% 293.42/42.87
% 293.42/42.87 [26027] ALPHA_NOT_OR : ~(left_apart_point(A39_2273_9, L40_2273_9) | left_apart_point(A39_2273_9, reverse_line(L40_2273_9)))
% 293.42/42.87 -> [26033] ~left_apart_point(A39_2273_9, L40_2273_9), ~left_apart_point(A39_2273_9, reverse_line(L40_2273_9))
% 293.42/42.87
% 293.42/42.87 [26033] CLOSURE : ~left_apart_point(A39_2273_9, L40_2273_9)
% 293.42/42.87
% 293.42/42.87 [26010] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [26041] ~(left_apart_point(A39_2276_9, L40_2276_9) | left_apart_point(A39_2276_9, reverse_line(L40_2276_9)))
% 293.42/42.87
% 293.42/42.87 [26041] ALPHA_NOT_OR : ~(left_apart_point(A39_2276_9, L40_2276_9) | left_apart_point(A39_2276_9, reverse_line(L40_2276_9)))
% 293.42/42.87 -> [26042] ~left_apart_point(A39_2276_9, L40_2276_9), ~left_apart_point(A39_2276_9, reverse_line(L40_2276_9))
% 293.42/42.87
% 293.42/42.87 [26042] CLOSURE : ~left_apart_point(A39_2276_9, L40_2276_9)
% 293.42/42.87
% 293.42/42.87 [25691] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [26014] ((unequally_directed_lines(skolem_N7979, M38_1145_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1145_8))) => (left_convergent_lines(skolem_N7979, M38_1145_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1145_8))))
% 293.42/42.87
% 293.42/42.87 [26014] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1145_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1145_8))) => (left_convergent_lines(skolem_N7979, M38_1145_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1145_8))))
% 293.42/42.87 -> [26016] ~(unequally_directed_lines(skolem_N7979, M38_1145_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1145_8)))
% 293.42/42.87 -> [26017] (left_convergent_lines(skolem_N7979, M38_1145_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1145_8)))
% 293.42/42.87
% 293.42/42.87 [26017] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1145_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1145_8)))
% 293.42/42.87 -> [26020] left_convergent_lines(skolem_N7979, M38_1145_8)
% 293.42/42.87 -> [26021] left_convergent_lines(skolem_N7979, reverse_line(M38_1145_8))
% 293.42/42.87
% 293.42/42.87 [26021] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [26071] ~(left_apart_point(A39_2282_9, L40_2282_9) | left_apart_point(A39_2282_9, reverse_line(L40_2282_9)))
% 293.42/42.87
% 293.42/42.87 [26071] ALPHA_NOT_OR : ~(left_apart_point(A39_2282_9, L40_2282_9) | left_apart_point(A39_2282_9, reverse_line(L40_2282_9)))
% 293.42/42.87 -> [26072] ~left_apart_point(A39_2282_9, L40_2282_9), ~left_apart_point(A39_2282_9, reverse_line(L40_2282_9))
% 293.42/42.87
% 293.42/42.87 [26072] CLOSURE : ~left_apart_point(A39_2282_9, L40_2282_9)
% 293.42/42.87
% 293.42/42.87 [26020] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [26080] ~(left_apart_point(A39_2283_9, L40_2283_9) | left_apart_point(A39_2283_9, reverse_line(L40_2283_9)))
% 293.42/42.87
% 293.42/42.87 [26080] ALPHA_NOT_OR : ~(left_apart_point(A39_2283_9, L40_2283_9) | left_apart_point(A39_2283_9, reverse_line(L40_2283_9)))
% 293.42/42.87 -> [26081] ~left_apart_point(A39_2283_9, L40_2283_9), ~left_apart_point(A39_2283_9, reverse_line(L40_2283_9))
% 293.42/42.87
% 293.42/42.87 [26081] CLOSURE : ~left_apart_point(A39_2283_9, L40_2283_9)
% 293.42/42.87
% 293.42/42.87 [26016] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1145_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1145_8)))
% 293.42/42.87 -> [26031] ~unequally_directed_lines(skolem_N7979, M38_1145_8)
% 293.42/42.87 -> [26032] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1145_8))
% 293.42/42.87
% 293.42/42.87 [26032] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1145_8))
% 293.42/42.87
% 293.42/42.87 [26031] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1145_8)
% 293.42/42.87
% 293.42/42.87 [502] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.87 -> [703] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.42/42.87 -> [704] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [703] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.42/42.87 -> [955] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 293.42/42.87 -> [956] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.87
% 293.42/42.87 [956] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.87 -> [963] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.87
% 293.42/42.87 [963] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.87 -> [964] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.42/42.87 -> [965] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [964] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.87 -> [1624] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.87
% 293.42/42.87 [1624] 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))))
% 293.42/42.87 -> [1722] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.87
% 293.42/42.87 [1722] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.87 -> [1724] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.87 -> [1725] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.87
% 293.42/42.87 [1724] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.87
% 293.42/42.87 [1725] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.87 -> [4782] distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.87 -> [4783] distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.87
% 293.42/42.87 [4783] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.87
% 293.42/42.87 [4782] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.87 -> [6422] ~distinct_lines(N27_203_3, N27_203_3)
% 293.42/42.87
% 293.42/42.87 [6422] 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))))
% 293.42/42.87 -> [6465] (distinct_lines(N27_203_3, N27_203_3) => (distinct_lines(N27_203_3, N27_203_3) | distinct_lines(N27_203_3, N27_203_3)))
% 293.42/42.87
% 293.42/42.87 [6465] BETA_IMPLY : (distinct_lines(N27_203_3, N27_203_3) => (distinct_lines(N27_203_3, N27_203_3) | distinct_lines(N27_203_3, N27_203_3)))
% 293.42/42.87 -> [6469] ~distinct_lines(N27_203_3, N27_203_3)
% 293.42/42.87 -> [6470] (distinct_lines(N27_203_3, N27_203_3) | distinct_lines(N27_203_3, N27_203_3))
% 293.42/42.87
% 293.42/42.87 [6470] BETA_OR : (distinct_lines(N27_203_3, N27_203_3) | distinct_lines(N27_203_3, N27_203_3))
% 293.42/42.87 -> [6476] distinct_lines(N27_203_3, N27_203_3)
% 293.42/42.87 -> [6477] distinct_lines(N27_203_3, N27_203_3)
% 293.42/42.87
% 293.42/42.87 [6477] CLOSURE : distinct_lines(N27_203_3, N27_203_3)
% 293.42/42.87
% 293.42/42.87 [6476] CLOSURE : distinct_lines(N27_203_3, N27_203_3)
% 293.42/42.87
% 293.42/42.87 [6469] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.87 -> [6527] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [6527] 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))))
% 293.42/42.87 -> [6572] (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))))
% 293.42/42.87
% 293.42/42.87 [6572] 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))))
% 293.42/42.87 -> [6574] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87 -> [6575] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.87
% 293.42/42.87 [6574] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [6575] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.87 -> [9321] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87 -> [9322] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [9322] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [9321] 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))))))
% 293.42/42.87 -> [9639] ((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)))))
% 293.42/42.87
% 293.42/42.87 [9639] 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)))))
% 293.42/42.87 -> [9640] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.87 -> [9641] ((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))))
% 293.42/42.87
% 293.42/42.87 [9640] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.87 -> [9682] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.87 -> [9683] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [9683] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [9682] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.87
% 293.42/42.87 [9641] 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))))
% 293.42/42.87 -> [10657] (unequally_directed_lines(skolem_M7878, N34_111_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_111_6)))
% 293.42/42.87 -> [10658] (unequally_directed_lines(skolem_N7979, N34_111_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_111_6)))
% 293.42/42.87
% 293.42/42.87 [10658] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_111_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_111_6)))
% 293.42/42.87 -> [10659] unequally_directed_lines(skolem_N7979, N34_111_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_111_6))
% 293.42/42.87
% 293.42/42.87 [10659] 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)))))
% 293.42/42.87 -> [10715] ((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)))))
% 293.42/42.87
% 293.42/42.87 [10715] 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)))))
% 293.42/42.87 -> [10716] ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.87 -> [10717] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))
% 293.42/42.87
% 293.42/42.87 [10717] 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))))
% 293.42/42.87 -> [10720] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.87 -> [10721] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.87
% 293.42/42.87 [10720] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.87
% 293.42/42.87 [10721] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [11804] ((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))))
% 293.42/42.87
% 293.42/42.87 [11804] 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))))
% 293.42/42.87 -> [11808] ~(unequally_directed_lines(skolem_N7979, M38_250_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_250_8)))
% 293.42/42.87 -> [11809] (left_convergent_lines(skolem_N7979, M38_250_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_250_8)))
% 293.42/42.87
% 293.42/42.87 [11809] BETA_OR : (left_convergent_lines(skolem_N7979, M38_250_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_250_8)))
% 293.42/42.87 -> [11818] left_convergent_lines(skolem_N7979, M38_250_8)
% 293.42/42.87 -> [11819] left_convergent_lines(skolem_N7979, reverse_line(M38_250_8))
% 293.42/42.87
% 293.42/42.87 [11819] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [12022] ~(left_apart_point(A39_485_9, L40_485_9) | left_apart_point(A39_485_9, reverse_line(L40_485_9)))
% 293.42/42.87
% 293.42/42.87 [12022] ALPHA_NOT_OR : ~(left_apart_point(A39_485_9, L40_485_9) | left_apart_point(A39_485_9, reverse_line(L40_485_9)))
% 293.42/42.87 -> [12023] ~left_apart_point(A39_485_9, L40_485_9), ~left_apart_point(A39_485_9, reverse_line(L40_485_9))
% 293.42/42.87
% 293.42/42.87 [12023] CLOSURE : ~left_apart_point(A39_485_9, L40_485_9)
% 293.42/42.87
% 293.42/42.87 [11818] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [12086] ~(left_apart_point(A39_496_9, L40_496_9) | left_apart_point(A39_496_9, reverse_line(L40_496_9)))
% 293.42/42.87
% 293.42/42.87 [12086] ALPHA_NOT_OR : ~(left_apart_point(A39_496_9, L40_496_9) | left_apart_point(A39_496_9, reverse_line(L40_496_9)))
% 293.42/42.87 -> [12087] ~left_apart_point(A39_496_9, L40_496_9), ~left_apart_point(A39_496_9, reverse_line(L40_496_9))
% 293.42/42.87
% 293.42/42.87 [12087] CLOSURE : ~left_apart_point(A39_496_9, L40_496_9)
% 293.42/42.87
% 293.42/42.87 [11808] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_250_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_250_8)))
% 293.42/42.87 -> [11869] ~unequally_directed_lines(skolem_N7979, M38_250_8)
% 293.42/42.87 -> [11870] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_250_8))
% 293.42/42.87
% 293.42/42.87 [11870] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_250_8))
% 293.42/42.87
% 293.42/42.87 [11869] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_250_8)
% 293.42/42.87
% 293.42/42.87 [10716] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.87 -> [10740] ~line(skolem_L7777)
% 293.42/42.87 -> [10741] ~line(line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.87
% 293.42/42.87 [10740] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [10833] ((unequally_directed_lines(skolem_N7979, M38_198_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_198_8))) => (left_convergent_lines(skolem_N7979, M38_198_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_198_8))))
% 293.42/42.87
% 293.42/42.87 [10833] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_198_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_198_8))) => (left_convergent_lines(skolem_N7979, M38_198_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_198_8))))
% 293.42/42.87 -> [10836] ~(unequally_directed_lines(skolem_N7979, M38_198_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_198_8)))
% 293.42/42.87 -> [10837] (left_convergent_lines(skolem_N7979, M38_198_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_198_8)))
% 293.42/42.87
% 293.42/42.87 [10837] BETA_OR : (left_convergent_lines(skolem_N7979, M38_198_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_198_8)))
% 293.42/42.87 -> [10839] left_convergent_lines(skolem_N7979, M38_198_8)
% 293.42/42.87 -> [10840] left_convergent_lines(skolem_N7979, reverse_line(M38_198_8))
% 293.42/42.87
% 293.42/42.87 [10840] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [10924] ~(left_apart_point(A39_384_9, L40_384_9) | left_apart_point(A39_384_9, reverse_line(L40_384_9)))
% 293.42/42.87
% 293.42/42.87 [10924] ALPHA_NOT_OR : ~(left_apart_point(A39_384_9, L40_384_9) | left_apart_point(A39_384_9, reverse_line(L40_384_9)))
% 293.42/42.87 -> [10925] ~left_apart_point(A39_384_9, L40_384_9), ~left_apart_point(A39_384_9, reverse_line(L40_384_9))
% 293.42/42.87
% 293.42/42.87 [10925] CLOSURE : ~left_apart_point(A39_384_9, L40_384_9)
% 293.42/42.87
% 293.42/42.87 [10839] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [10958] ~(left_apart_point(A39_387_9, L40_387_9) | left_apart_point(A39_387_9, reverse_line(L40_387_9)))
% 293.42/42.87
% 293.42/42.87 [10958] ALPHA_NOT_OR : ~(left_apart_point(A39_387_9, L40_387_9) | left_apart_point(A39_387_9, reverse_line(L40_387_9)))
% 293.42/42.87 -> [10959] ~left_apart_point(A39_387_9, L40_387_9), ~left_apart_point(A39_387_9, reverse_line(L40_387_9))
% 293.42/42.87
% 293.42/42.87 [10959] CLOSURE : ~left_apart_point(A39_387_9, L40_387_9)
% 293.42/42.87
% 293.42/42.87 [10836] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_198_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_198_8)))
% 293.42/42.87 -> [10865] ~unequally_directed_lines(skolem_N7979, M38_198_8)
% 293.42/42.87 -> [10866] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_198_8))
% 293.42/42.87
% 293.42/42.87 [10866] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_198_8))
% 293.42/42.87
% 293.42/42.87 [10865] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_198_8)
% 293.42/42.87
% 293.42/42.87 [10741] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [10796] ((unequally_directed_lines(skolem_N7979, M38_196_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_196_8))) => (left_convergent_lines(skolem_N7979, M38_196_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_196_8))))
% 293.42/42.87
% 293.42/42.87 [10796] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_196_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_196_8))) => (left_convergent_lines(skolem_N7979, M38_196_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_196_8))))
% 293.42/42.87 -> [10797] ~(unequally_directed_lines(skolem_N7979, M38_196_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_196_8)))
% 293.42/42.87 -> [10798] (left_convergent_lines(skolem_N7979, M38_196_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_196_8)))
% 293.42/42.87
% 293.42/42.87 [10797] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_196_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_196_8)))
% 293.42/42.87 -> [10846] ~unequally_directed_lines(skolem_N7979, M38_196_8)
% 293.42/42.87 -> [10847] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_196_8))
% 293.42/42.87
% 293.42/42.87 [10847] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_196_8))
% 293.42/42.87
% 293.42/42.87 [10846] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_196_8)
% 293.42/42.87
% 293.42/42.87 [10798] BETA_OR : (left_convergent_lines(skolem_N7979, M38_196_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_196_8)))
% 293.42/42.87 -> [10802] left_convergent_lines(skolem_N7979, M38_196_8)
% 293.42/42.87 -> [10803] left_convergent_lines(skolem_N7979, reverse_line(M38_196_8))
% 293.42/42.87
% 293.42/42.87 [10802] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [11954] ~(left_apart_point(A39_481_9, L40_481_9) | left_apart_point(A39_481_9, reverse_line(L40_481_9)))
% 293.42/42.87
% 293.42/42.87 [11954] ALPHA_NOT_OR : ~(left_apart_point(A39_481_9, L40_481_9) | left_apart_point(A39_481_9, reverse_line(L40_481_9)))
% 293.42/42.87 -> [11957] ~left_apart_point(A39_481_9, L40_481_9), ~left_apart_point(A39_481_9, reverse_line(L40_481_9))
% 293.42/42.87
% 293.42/42.87 [11957] CLOSURE : ~left_apart_point(A39_481_9, L40_481_9)
% 293.42/42.87
% 293.42/42.87 [10803] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [12661] ~(left_apart_point(A39_530_9, L40_530_9) | left_apart_point(A39_530_9, reverse_line(L40_530_9)))
% 293.42/42.87
% 293.42/42.87 [12661] ALPHA_NOT_OR : ~(left_apart_point(A39_530_9, L40_530_9) | left_apart_point(A39_530_9, reverse_line(L40_530_9)))
% 293.42/42.87 -> [12662] ~left_apart_point(A39_530_9, L40_530_9), ~left_apart_point(A39_530_9, reverse_line(L40_530_9))
% 293.42/42.87
% 293.42/42.87 [12662] CLOSURE : ~left_apart_point(A39_530_9, L40_530_9)
% 293.42/42.87
% 293.42/42.87 [10657] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_111_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_111_6)))
% 293.42/42.87 -> [10662] unequally_directed_lines(skolem_M7878, N34_111_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_111_6))
% 293.42/42.87
% 293.42/42.87 [10662] 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)))))
% 293.42/42.87 -> [10733] ((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))))
% 293.42/42.87
% 293.42/42.87 [10733] 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))))
% 293.42/42.87 -> [10734] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.87 -> [10735] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.87
% 293.42/42.87 [10734] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.87 -> [10742] ~line(reverse_line(skolem_N7979))
% 293.42/42.87 -> [10743] ~line(skolem_N7979)
% 293.42/42.87
% 293.42/42.87 [10742] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [10852] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.87
% 293.42/42.87 [10852] 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))))
% 293.42/42.87 -> [10855] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [10856] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87
% 293.42/42.87 [10856] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [10859] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87 -> [10860] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [10860] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [10938] ~(left_apart_point(A39_385_9, L40_385_9) | left_apart_point(A39_385_9, reverse_line(L40_385_9)))
% 293.42/42.87
% 293.42/42.87 [10938] ALPHA_NOT_OR : ~(left_apart_point(A39_385_9, L40_385_9) | left_apart_point(A39_385_9, reverse_line(L40_385_9)))
% 293.42/42.87 -> [10941] ~left_apart_point(A39_385_9, L40_385_9), ~left_apart_point(A39_385_9, reverse_line(L40_385_9))
% 293.42/42.87
% 293.42/42.87 [10941] CLOSURE : ~left_apart_point(A39_385_9, L40_385_9)
% 293.42/42.87
% 293.42/42.87 [10859] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [10972] ~(left_apart_point(A39_388_9, L40_388_9) | left_apart_point(A39_388_9, reverse_line(L40_388_9)))
% 293.42/42.87
% 293.42/42.87 [10972] ALPHA_NOT_OR : ~(left_apart_point(A39_388_9, L40_388_9) | left_apart_point(A39_388_9, reverse_line(L40_388_9)))
% 293.42/42.87 -> [10979] ~left_apart_point(A39_388_9, L40_388_9), ~left_apart_point(A39_388_9, reverse_line(L40_388_9))
% 293.42/42.87
% 293.42/42.87 [10979] CLOSURE : ~left_apart_point(A39_388_9, L40_388_9)
% 293.42/42.87
% 293.42/42.87 [10855] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [10880] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87 -> [10881] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [10881] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [10880] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [10743] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [10815] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.87
% 293.42/42.87 [10815] 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))))
% 293.42/42.87 -> [10818] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [10819] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87
% 293.42/42.87 [10819] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [10824] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87 -> [10825] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [10825] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [10910] ~(left_apart_point(A39_381_9, L40_381_9) | left_apart_point(A39_381_9, reverse_line(L40_381_9)))
% 293.42/42.87
% 293.42/42.87 [10910] ALPHA_NOT_OR : ~(left_apart_point(A39_381_9, L40_381_9) | left_apart_point(A39_381_9, reverse_line(L40_381_9)))
% 293.42/42.87 -> [10914] ~left_apart_point(A39_381_9, L40_381_9), ~left_apart_point(A39_381_9, reverse_line(L40_381_9))
% 293.42/42.87
% 293.42/42.87 [10914] CLOSURE : ~left_apart_point(A39_381_9, L40_381_9)
% 293.42/42.87
% 293.42/42.87 [10824] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [10948] ~(left_apart_point(A39_386_9, L40_386_9) | left_apart_point(A39_386_9, reverse_line(L40_386_9)))
% 293.42/42.87
% 293.42/42.87 [10948] ALPHA_NOT_OR : ~(left_apart_point(A39_386_9, L40_386_9) | left_apart_point(A39_386_9, reverse_line(L40_386_9)))
% 293.42/42.87 -> [10952] ~left_apart_point(A39_386_9, L40_386_9), ~left_apart_point(A39_386_9, reverse_line(L40_386_9))
% 293.42/42.87
% 293.42/42.87 [10952] CLOSURE : ~left_apart_point(A39_386_9, L40_386_9)
% 293.42/42.87
% 293.42/42.87 [10818] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [10862] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87 -> [10863] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [10863] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [10862] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [10735] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.87 -> [10738] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 293.42/42.87 -> [10739] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [10739] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [10738] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [12546] ((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))))
% 293.42/42.87
% 293.42/42.87 [12546] 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))))
% 293.42/42.87 -> [12550] ~(unequally_directed_lines(skolem_M7878, M38_282_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_282_8)))
% 293.42/42.87 -> [12551] (left_convergent_lines(skolem_M7878, M38_282_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_282_8)))
% 293.42/42.87
% 293.42/42.87 [12551] BETA_OR : (left_convergent_lines(skolem_M7878, M38_282_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_282_8)))
% 293.42/42.87 -> [12554] left_convergent_lines(skolem_M7878, M38_282_8)
% 293.42/42.87 -> [12555] left_convergent_lines(skolem_M7878, reverse_line(M38_282_8))
% 293.42/42.87
% 293.42/42.87 [12555] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [12755] ~(left_apart_point(A39_542_9, L40_542_9) | left_apart_point(A39_542_9, reverse_line(L40_542_9)))
% 293.42/42.87
% 293.42/42.87 [12755] ALPHA_NOT_OR : ~(left_apart_point(A39_542_9, L40_542_9) | left_apart_point(A39_542_9, reverse_line(L40_542_9)))
% 293.42/42.87 -> [12756] ~left_apart_point(A39_542_9, L40_542_9), ~left_apart_point(A39_542_9, reverse_line(L40_542_9))
% 293.42/42.87
% 293.42/42.87 [12756] CLOSURE : ~left_apart_point(A39_542_9, L40_542_9)
% 293.42/42.87
% 293.42/42.87 [12554] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [12978] ~(left_apart_point(A39_577_9, L40_577_9) | left_apart_point(A39_577_9, reverse_line(L40_577_9)))
% 293.42/42.87
% 293.42/42.87 [12978] ALPHA_NOT_OR : ~(left_apart_point(A39_577_9, L40_577_9) | left_apart_point(A39_577_9, reverse_line(L40_577_9)))
% 293.42/42.87 -> [12982] ~left_apart_point(A39_577_9, L40_577_9), ~left_apart_point(A39_577_9, reverse_line(L40_577_9))
% 293.42/42.87
% 293.42/42.87 [12982] CLOSURE : ~left_apart_point(A39_577_9, L40_577_9)
% 293.42/42.87
% 293.42/42.87 [12550] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_282_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_282_8)))
% 293.42/42.87 -> [12567] ~unequally_directed_lines(skolem_M7878, M38_282_8)
% 293.42/42.87 -> [12568] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_282_8))
% 293.42/42.87
% 293.42/42.87 [12567] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_282_8)
% 293.42/42.87
% 293.42/42.87 [12568] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_282_8))
% 293.42/42.87
% 293.42/42.87 [965] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.87 -> [1065] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.87
% 293.42/42.87 [1065] 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))))
% 293.42/42.87 -> [1126] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.87
% 293.42/42.87 [1126] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.87 -> [1129] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.87 -> [1130] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.87
% 293.42/42.87 [1129] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.87
% 293.42/42.87 [1130] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.87 -> [4838] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.87 -> [4839] distinct_points(skolem_A8080, skolem_B8181)
% 293.42/42.87
% 293.42/42.87 [4838] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.87
% 293.42/42.87 [4839] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.87 -> [5025] ~distinct_lines(N27_140_3, N27_140_3)
% 293.42/42.87
% 293.42/42.87 [5025] 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))))
% 293.42/42.87 -> [5150] (distinct_lines(N27_140_3, N27_140_3) => (distinct_lines(N27_140_3, N27_140_3) | distinct_lines(N27_140_3, N27_140_3)))
% 293.42/42.87
% 293.42/42.87 [5150] BETA_IMPLY : (distinct_lines(N27_140_3, N27_140_3) => (distinct_lines(N27_140_3, N27_140_3) | distinct_lines(N27_140_3, N27_140_3)))
% 293.42/42.87 -> [5155] ~distinct_lines(N27_140_3, N27_140_3)
% 293.42/42.87 -> [5156] (distinct_lines(N27_140_3, N27_140_3) | distinct_lines(N27_140_3, N27_140_3))
% 293.42/42.87
% 293.42/42.87 [5156] BETA_OR : (distinct_lines(N27_140_3, N27_140_3) | distinct_lines(N27_140_3, N27_140_3))
% 293.42/42.87 -> [5157] distinct_lines(N27_140_3, N27_140_3)
% 293.42/42.87 -> [5158] distinct_lines(N27_140_3, N27_140_3)
% 293.42/42.87
% 293.42/42.87 [5158] CLOSURE : distinct_lines(N27_140_3, N27_140_3)
% 293.42/42.87
% 293.42/42.87 [5157] CLOSURE : distinct_lines(N27_140_3, N27_140_3)
% 293.42/42.87
% 293.42/42.87 [5155] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.87 -> [5313] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [5313] 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))))
% 293.42/42.87 -> [5466] (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)))
% 293.42/42.87
% 293.42/42.87 [5466] 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)))
% 293.42/42.87 -> [5469] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87 -> [5470] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [5469] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [5470] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.87 -> [8300] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.87 -> [8301] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [8300] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [8301] 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))))))
% 293.42/42.87 -> [9648] ((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)))))
% 293.42/42.87
% 293.42/42.87 [9648] 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)))))
% 293.42/42.87 -> [9651] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.87 -> [9652] ((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))))
% 293.42/42.87
% 293.42/42.87 [9651] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.87 -> [9712] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.87 -> [9713] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [9713] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [9712] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.87
% 293.42/42.87 [9652] 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))))
% 293.42/42.87 -> [18970] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [18971] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.87
% 293.42/42.87 [18971] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [18979] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [18979] 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)))))
% 293.42/42.87 -> [19384] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.87
% 293.42/42.87 [19384] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.87 -> [19387] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.87 -> [19388] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.87
% 293.42/42.87 [19387] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.87 -> [19415] ~line(skolem_M7878)
% 293.42/42.87 -> [19416] ~line(skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [19416] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [19556] ((unequally_directed_lines(skolem_N7979, M38_708_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_708_8))) => (left_convergent_lines(skolem_N7979, M38_708_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_708_8))))
% 293.42/42.87
% 293.42/42.87 [19556] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_708_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_708_8))) => (left_convergent_lines(skolem_N7979, M38_708_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_708_8))))
% 293.42/42.87 -> [19560] ~(unequally_directed_lines(skolem_N7979, M38_708_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_708_8)))
% 293.42/42.87 -> [19561] (left_convergent_lines(skolem_N7979, M38_708_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_708_8)))
% 293.42/42.87
% 293.42/42.87 [19560] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_708_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_708_8)))
% 293.42/42.87 -> [19618] ~unequally_directed_lines(skolem_N7979, M38_708_8)
% 293.42/42.87 -> [19619] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_708_8))
% 293.42/42.87
% 293.42/42.87 [19619] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_708_8))
% 293.42/42.87
% 293.42/42.87 [19618] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_708_8)
% 293.42/42.87
% 293.42/42.87 [19561] BETA_OR : (left_convergent_lines(skolem_N7979, M38_708_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_708_8)))
% 293.42/42.87 -> [19569] left_convergent_lines(skolem_N7979, M38_708_8)
% 293.42/42.87 -> [19570] left_convergent_lines(skolem_N7979, reverse_line(M38_708_8))
% 293.42/42.87
% 293.42/42.87 [19570] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [19761] ~(left_apart_point(A39_1379_9, L40_1379_9) | left_apart_point(A39_1379_9, reverse_line(L40_1379_9)))
% 293.42/42.87
% 293.42/42.87 [19761] ALPHA_NOT_OR : ~(left_apart_point(A39_1379_9, L40_1379_9) | left_apart_point(A39_1379_9, reverse_line(L40_1379_9)))
% 293.42/42.87 -> [19765] ~left_apart_point(A39_1379_9, L40_1379_9), ~left_apart_point(A39_1379_9, reverse_line(L40_1379_9))
% 293.42/42.87
% 293.42/42.87 [19765] CLOSURE : ~left_apart_point(A39_1379_9, L40_1379_9)
% 293.42/42.87
% 293.42/42.87 [19569] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [19803] ~(left_apart_point(A39_1388_9, L40_1388_9) | left_apart_point(A39_1388_9, reverse_line(L40_1388_9)))
% 293.42/42.87
% 293.42/42.87 [19803] ALPHA_NOT_OR : ~(left_apart_point(A39_1388_9, L40_1388_9) | left_apart_point(A39_1388_9, reverse_line(L40_1388_9)))
% 293.42/42.87 -> [19805] ~left_apart_point(A39_1388_9, L40_1388_9), ~left_apart_point(A39_1388_9, reverse_line(L40_1388_9))
% 293.42/42.87
% 293.42/42.87 [19805] CLOSURE : ~left_apart_point(A39_1388_9, L40_1388_9)
% 293.42/42.87
% 293.42/42.87 [19415] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [19602] ((unequally_directed_lines(skolem_N7979, M38_715_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_715_8))) => (left_convergent_lines(skolem_N7979, M38_715_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_715_8))))
% 293.42/42.87
% 293.42/42.87 [19602] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_715_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_715_8))) => (left_convergent_lines(skolem_N7979, M38_715_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_715_8))))
% 293.42/42.87 -> [19604] ~(unequally_directed_lines(skolem_N7979, M38_715_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_715_8)))
% 293.42/42.87 -> [19605] (left_convergent_lines(skolem_N7979, M38_715_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_715_8)))
% 293.42/42.87
% 293.42/42.87 [19604] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_715_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_715_8)))
% 293.42/42.87 -> [19661] ~unequally_directed_lines(skolem_N7979, M38_715_8)
% 293.42/42.87 -> [19662] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_715_8))
% 293.42/42.87
% 293.42/42.87 [19662] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_715_8))
% 293.42/42.87
% 293.42/42.87 [19661] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_715_8)
% 293.42/42.87
% 293.42/42.87 [19605] BETA_OR : (left_convergent_lines(skolem_N7979, M38_715_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_715_8)))
% 293.42/42.87 -> [19609] left_convergent_lines(skolem_N7979, M38_715_8)
% 293.42/42.87 -> [19610] left_convergent_lines(skolem_N7979, reverse_line(M38_715_8))
% 293.42/42.87
% 293.42/42.87 [19610] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [19797] ~(left_apart_point(A39_1387_9, L40_1387_9) | left_apart_point(A39_1387_9, reverse_line(L40_1387_9)))
% 293.42/42.87
% 293.42/42.87 [19797] ALPHA_NOT_OR : ~(left_apart_point(A39_1387_9, L40_1387_9) | left_apart_point(A39_1387_9, reverse_line(L40_1387_9)))
% 293.42/42.87 -> [19800] ~left_apart_point(A39_1387_9, L40_1387_9), ~left_apart_point(A39_1387_9, reverse_line(L40_1387_9))
% 293.42/42.87
% 293.42/42.87 [19800] CLOSURE : ~left_apart_point(A39_1387_9, L40_1387_9)
% 293.42/42.87
% 293.42/42.87 [19609] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [19838] ~(left_apart_point(A39_1391_9, L40_1391_9) | left_apart_point(A39_1391_9, reverse_line(L40_1391_9)))
% 293.42/42.87
% 293.42/42.87 [19838] ALPHA_NOT_OR : ~(left_apart_point(A39_1391_9, L40_1391_9) | left_apart_point(A39_1391_9, reverse_line(L40_1391_9)))
% 293.42/42.87 -> [19840] ~left_apart_point(A39_1391_9, L40_1391_9), ~left_apart_point(A39_1391_9, reverse_line(L40_1391_9))
% 293.42/42.87
% 293.42/42.87 [19840] CLOSURE : ~left_apart_point(A39_1391_9, L40_1391_9)
% 293.42/42.87
% 293.42/42.87 [19388] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [19392] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.87 -> [19393] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [19392] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [19393] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [19578] ((unequally_directed_lines(skolem_N7979, M38_712_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_712_8))) => (left_convergent_lines(skolem_N7979, M38_712_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_712_8))))
% 293.42/42.87
% 293.42/42.87 [19578] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_712_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_712_8))) => (left_convergent_lines(skolem_N7979, M38_712_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_712_8))))
% 293.42/42.87 -> [19581] ~(unequally_directed_lines(skolem_N7979, M38_712_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_712_8)))
% 293.42/42.87 -> [19582] (left_convergent_lines(skolem_N7979, M38_712_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_712_8)))
% 293.42/42.87
% 293.42/42.87 [19581] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_712_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_712_8)))
% 293.42/42.87 -> [19632] ~unequally_directed_lines(skolem_N7979, M38_712_8)
% 293.42/42.87 -> [19633] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_712_8))
% 293.42/42.87
% 293.42/42.87 [19633] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_712_8))
% 293.42/42.87
% 293.42/42.87 [19632] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_712_8)
% 293.42/42.87
% 293.42/42.87 [19582] BETA_OR : (left_convergent_lines(skolem_N7979, M38_712_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_712_8)))
% 293.42/42.87 -> [19588] left_convergent_lines(skolem_N7979, M38_712_8)
% 293.42/42.87 -> [19589] left_convergent_lines(skolem_N7979, reverse_line(M38_712_8))
% 293.42/42.87
% 293.42/42.87 [19588] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [19852] ~(left_apart_point(A39_1393_9, L40_1393_9) | left_apart_point(A39_1393_9, reverse_line(L40_1393_9)))
% 293.42/42.87
% 293.42/42.87 [19852] ALPHA_NOT_OR : ~(left_apart_point(A39_1393_9, L40_1393_9) | left_apart_point(A39_1393_9, reverse_line(L40_1393_9)))
% 293.42/42.87 -> [19854] ~left_apart_point(A39_1393_9, L40_1393_9), ~left_apart_point(A39_1393_9, reverse_line(L40_1393_9))
% 293.42/42.87
% 293.42/42.87 [19854] CLOSURE : ~left_apart_point(A39_1393_9, L40_1393_9)
% 293.42/42.87
% 293.42/42.87 [19589] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [19769] ~(left_apart_point(A39_1382_9, L40_1382_9) | left_apart_point(A39_1382_9, reverse_line(L40_1382_9)))
% 293.42/42.87
% 293.42/42.87 [19769] ALPHA_NOT_OR : ~(left_apart_point(A39_1382_9, L40_1382_9) | left_apart_point(A39_1382_9, reverse_line(L40_1382_9)))
% 293.42/42.87 -> [19771] ~left_apart_point(A39_1382_9, L40_1382_9), ~left_apart_point(A39_1382_9, reverse_line(L40_1382_9))
% 293.42/42.87
% 293.42/42.87 [19771] CLOSURE : ~left_apart_point(A39_1382_9, L40_1382_9)
% 293.42/42.87
% 293.42/42.87 [18970] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.87 -> [20107] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.87
% 293.42/42.87 [20107] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.87
% 293.42/42.87 [955] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.87 -> [1066] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.87
% 293.42/42.87 [1066] 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))))
% 293.42/42.87 -> [1146] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.87
% 293.42/42.87 [1146] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.87 -> [1149] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.87 -> [1150] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.87
% 293.42/42.87 [1149] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.87
% 293.42/42.87 [1150] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.87 -> [2869] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.87 -> [2870] distinct_points(skolem_A8080, skolem_B8181)
% 293.42/42.87
% 293.42/42.87 [2869] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.87
% 293.42/42.87 [2870] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.87 -> [3154] ~distinct_lines(N27_42_3, N27_42_3)
% 293.42/42.87
% 293.42/42.87 [3154] 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))))
% 293.42/42.87 -> [3181] (distinct_lines(N27_42_3, N27_42_3) => (distinct_lines(N27_42_3, N27_42_3) | distinct_lines(N27_42_3, N27_42_3)))
% 293.42/42.87
% 293.42/42.87 [3181] 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)))
% 293.42/42.87 -> [3182] ~distinct_lines(N27_42_3, N27_42_3)
% 293.42/42.87 -> [3183] (distinct_lines(N27_42_3, N27_42_3) | distinct_lines(N27_42_3, N27_42_3))
% 293.42/42.87
% 293.42/42.87 [3183] BETA_OR : (distinct_lines(N27_42_3, N27_42_3) | distinct_lines(N27_42_3, N27_42_3))
% 293.42/42.87 -> [3186] distinct_lines(N27_42_3, N27_42_3)
% 293.42/42.87 -> [3187] distinct_lines(N27_42_3, N27_42_3)
% 293.42/42.87
% 293.42/42.87 [3186] CLOSURE : distinct_lines(N27_42_3, N27_42_3)
% 293.42/42.87
% 293.42/42.87 [3187] CLOSURE : distinct_lines(N27_42_3, N27_42_3)
% 293.42/42.87
% 293.42/42.87 [3182] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.87 -> [3213] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [3213] 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))))
% 293.42/42.87 -> [3237] (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))))
% 293.42/42.87
% 293.42/42.87 [3237] 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))))
% 293.42/42.87 -> [3241] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87 -> [3242] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.87
% 293.42/42.87 [3241] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [3242] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.87 -> [5534] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87 -> [5535] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [5535] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [5534] 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))))))
% 293.42/42.87 -> [6774] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_50_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_50_6))) | (unequally_directed_lines(skolem_N7979, N34_50_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_50_6)))))
% 293.42/42.87
% 293.42/42.87 [6774] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_50_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_50_6))) | (unequally_directed_lines(skolem_N7979, N34_50_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_50_6)))))
% 293.42/42.87 -> [6775] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.87 -> [6776] ((unequally_directed_lines(skolem_M7878, N34_50_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_50_6))) | (unequally_directed_lines(skolem_N7979, N34_50_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_50_6))))
% 293.42/42.87
% 293.42/42.87 [6775] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.87 -> [6802] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.87 -> [6803] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [6803] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [6802] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.87
% 293.42/42.87 [6776] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_50_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_50_6))) | (unequally_directed_lines(skolem_N7979, N34_50_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_50_6))))
% 293.42/42.87 -> [12916] (unequally_directed_lines(skolem_M7878, N34_50_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_50_6)))
% 293.42/42.87 -> [12917] (unequally_directed_lines(skolem_N7979, N34_50_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_50_6)))
% 293.42/42.87
% 293.42/42.87 [12917] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_50_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_50_6)))
% 293.42/42.87 -> [12920] unequally_directed_lines(skolem_N7979, N34_50_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_50_6))
% 293.42/42.87
% 293.42/42.87 [12920] 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)))))
% 293.42/42.87 -> [13036] ((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))))
% 293.42/42.87
% 293.42/42.87 [13036] 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))))
% 293.42/42.87 -> [13037] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.87 -> [13038] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.87
% 293.42/42.87 [13037] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.87 -> [13065] ~line(reverse_line(skolem_N7979))
% 293.42/42.87 -> [13066] ~line(skolem_N7979)
% 293.42/42.87
% 293.42/42.87 [13066] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [13164] ((unequally_directed_lines(skolem_N7979, M38_316_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_316_8))) => (left_convergent_lines(skolem_N7979, M38_316_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_316_8))))
% 293.42/42.87
% 293.42/42.87 [13164] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_316_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_316_8))) => (left_convergent_lines(skolem_N7979, M38_316_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_316_8))))
% 293.42/42.87 -> [13167] ~(unequally_directed_lines(skolem_N7979, M38_316_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_316_8)))
% 293.42/42.87 -> [13168] (left_convergent_lines(skolem_N7979, M38_316_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_316_8)))
% 293.42/42.87
% 293.42/42.87 [13168] BETA_OR : (left_convergent_lines(skolem_N7979, M38_316_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_316_8)))
% 293.42/42.87 -> [13171] left_convergent_lines(skolem_N7979, M38_316_8)
% 293.42/42.87 -> [13172] left_convergent_lines(skolem_N7979, reverse_line(M38_316_8))
% 293.42/42.87
% 293.42/42.87 [13172] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [13324] ~(left_apart_point(A39_617_9, L40_617_9) | left_apart_point(A39_617_9, reverse_line(L40_617_9)))
% 293.42/42.87
% 293.42/42.87 [13324] ALPHA_NOT_OR : ~(left_apart_point(A39_617_9, L40_617_9) | left_apart_point(A39_617_9, reverse_line(L40_617_9)))
% 293.42/42.87 -> [13325] ~left_apart_point(A39_617_9, L40_617_9), ~left_apart_point(A39_617_9, reverse_line(L40_617_9))
% 293.42/42.87
% 293.42/42.87 [13325] CLOSURE : ~left_apart_point(A39_617_9, L40_617_9)
% 293.42/42.87
% 293.42/42.87 [13171] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [13342] ~(left_apart_point(A39_620_9, L40_620_9) | left_apart_point(A39_620_9, reverse_line(L40_620_9)))
% 293.42/42.87
% 293.42/42.87 [13342] ALPHA_NOT_OR : ~(left_apart_point(A39_620_9, L40_620_9) | left_apart_point(A39_620_9, reverse_line(L40_620_9)))
% 293.42/42.87 -> [13343] ~left_apart_point(A39_620_9, L40_620_9), ~left_apart_point(A39_620_9, reverse_line(L40_620_9))
% 293.42/42.87
% 293.42/42.87 [13343] CLOSURE : ~left_apart_point(A39_620_9, L40_620_9)
% 293.42/42.87
% 293.42/42.87 [13167] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_316_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_316_8)))
% 293.42/42.87 -> [13210] ~unequally_directed_lines(skolem_N7979, M38_316_8)
% 293.42/42.87 -> [13211] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_316_8))
% 293.42/42.87
% 293.42/42.87 [13211] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_316_8))
% 293.42/42.87
% 293.42/42.87 [13210] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_316_8)
% 293.42/42.87
% 293.42/42.87 [13065] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [13196] ((unequally_directed_lines(skolem_N7979, M38_317_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_317_8))) => (left_convergent_lines(skolem_N7979, M38_317_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_317_8))))
% 293.42/42.87
% 293.42/42.87 [13196] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_317_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_317_8))) => (left_convergent_lines(skolem_N7979, M38_317_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_317_8))))
% 293.42/42.87 -> [13199] ~(unequally_directed_lines(skolem_N7979, M38_317_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_317_8)))
% 293.42/42.87 -> [13200] (left_convergent_lines(skolem_N7979, M38_317_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_317_8)))
% 293.42/42.87
% 293.42/42.87 [13200] BETA_OR : (left_convergent_lines(skolem_N7979, M38_317_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_317_8)))
% 293.42/42.87 -> [13208] left_convergent_lines(skolem_N7979, M38_317_8)
% 293.42/42.87 -> [13209] left_convergent_lines(skolem_N7979, reverse_line(M38_317_8))
% 293.42/42.87
% 293.42/42.87 [13209] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [13335] ~(left_apart_point(A39_618_9, L40_618_9) | left_apart_point(A39_618_9, reverse_line(L40_618_9)))
% 293.42/42.87
% 293.42/42.87 [13335] ALPHA_NOT_OR : ~(left_apart_point(A39_618_9, L40_618_9) | left_apart_point(A39_618_9, reverse_line(L40_618_9)))
% 293.42/42.87 -> [13337] ~left_apart_point(A39_618_9, L40_618_9), ~left_apart_point(A39_618_9, reverse_line(L40_618_9))
% 293.42/42.87
% 293.42/42.87 [13337] CLOSURE : ~left_apart_point(A39_618_9, L40_618_9)
% 293.42/42.87
% 293.42/42.87 [13208] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [13391] ~(left_apart_point(A39_624_9, L40_624_9) | left_apart_point(A39_624_9, reverse_line(L40_624_9)))
% 293.42/42.87
% 293.42/42.87 [13391] ALPHA_NOT_OR : ~(left_apart_point(A39_624_9, L40_624_9) | left_apart_point(A39_624_9, reverse_line(L40_624_9)))
% 293.42/42.87 -> [13394] ~left_apart_point(A39_624_9, L40_624_9), ~left_apart_point(A39_624_9, reverse_line(L40_624_9))
% 293.42/42.87
% 293.42/42.87 [13394] CLOSURE : ~left_apart_point(A39_624_9, L40_624_9)
% 293.42/42.87
% 293.42/42.87 [13199] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_317_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_317_8)))
% 293.42/42.87 -> [13262] ~unequally_directed_lines(skolem_N7979, M38_317_8)
% 293.42/42.87 -> [13263] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_317_8))
% 293.42/42.87
% 293.42/42.87 [13263] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_317_8))
% 293.42/42.87
% 293.42/42.87 [13262] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_317_8)
% 293.42/42.87
% 293.42/42.87 [13038] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.87 -> [13043] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 293.42/42.87 -> [13044] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [13044] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [13043] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [14364] ((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))))
% 293.42/42.87
% 293.42/42.87 [14364] 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))))
% 293.42/42.87 -> [14367] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.87 -> [14368] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.87
% 293.42/42.87 [14367] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.87 -> [14393] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.87 -> [14394] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [14394] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [14393] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.87
% 293.42/42.87 [14368] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.87 -> [14371] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.87 -> [14372] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.87
% 293.42/42.87 [14372] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [15260] ~(left_apart_point(A39_856_9, L40_856_9) | left_apart_point(A39_856_9, reverse_line(L40_856_9)))
% 293.42/42.87
% 293.42/42.87 [15260] ALPHA_NOT_OR : ~(left_apart_point(A39_856_9, L40_856_9) | left_apart_point(A39_856_9, reverse_line(L40_856_9)))
% 293.42/42.87 -> [15267] ~left_apart_point(A39_856_9, L40_856_9), ~left_apart_point(A39_856_9, reverse_line(L40_856_9))
% 293.42/42.87
% 293.42/42.87 [15267] CLOSURE : ~left_apart_point(A39_856_9, L40_856_9)
% 293.42/42.87
% 293.42/42.87 [14371] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.87 -> [15365] ~(left_apart_point(A39_870_9, L40_870_9) | left_apart_point(A39_870_9, reverse_line(L40_870_9)))
% 293.42/42.87
% 293.42/42.87 [15365] ALPHA_NOT_OR : ~(left_apart_point(A39_870_9, L40_870_9) | left_apart_point(A39_870_9, reverse_line(L40_870_9)))
% 293.42/42.87 -> [15366] ~left_apart_point(A39_870_9, L40_870_9), ~left_apart_point(A39_870_9, reverse_line(L40_870_9))
% 293.42/42.87
% 293.42/42.87 [15366] CLOSURE : ~left_apart_point(A39_870_9, L40_870_9)
% 293.42/42.87
% 293.42/42.87 [12916] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_50_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_50_6)))
% 293.42/42.87 -> [12930] unequally_directed_lines(skolem_M7878, N34_50_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_50_6))
% 293.42/42.87
% 293.42/42.87 [12930] 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)))))
% 293.42/42.87 -> [14309] ((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)))))
% 293.42/42.87
% 293.42/42.87 [14309] 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)))))
% 293.42/42.87 -> [14311] ~(line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181)))
% 293.42/42.87 -> [14312] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 293.42/42.87
% 293.42/42.87 [14311] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181)))
% 293.42/42.87 -> [14860] ~line(skolem_L7777)
% 293.42/42.87 -> [14861] ~line(line_connecting(skolem_C8282, skolem_B8181))
% 293.42/42.87
% 293.42/42.87 [14861] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.87 -> [14879] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.87
% 293.42/42.87 [14879] 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))))
% 293.42/42.88 -> [14882] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [14883] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88
% 293.42/42.88 [14882] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [14899] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88 -> [14900] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [14900] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [14899] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [14883] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [14884] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88 -> [14885] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [14885] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [14959] ~(left_apart_point(A39_819_9, L40_819_9) | left_apart_point(A39_819_9, reverse_line(L40_819_9)))
% 293.42/42.88
% 293.42/42.88 [14959] ALPHA_NOT_OR : ~(left_apart_point(A39_819_9, L40_819_9) | left_apart_point(A39_819_9, reverse_line(L40_819_9)))
% 293.42/42.88 -> [14962] ~left_apart_point(A39_819_9, L40_819_9), ~left_apart_point(A39_819_9, reverse_line(L40_819_9))
% 293.42/42.88
% 293.42/42.88 [14962] CLOSURE : ~left_apart_point(A39_819_9, L40_819_9)
% 293.42/42.88
% 293.42/42.88 [14884] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [14967] ~(left_apart_point(A39_821_9, L40_821_9) | left_apart_point(A39_821_9, reverse_line(L40_821_9)))
% 293.42/42.88
% 293.42/42.88 [14967] ALPHA_NOT_OR : ~(left_apart_point(A39_821_9, L40_821_9) | left_apart_point(A39_821_9, reverse_line(L40_821_9)))
% 293.42/42.88 -> [14970] ~left_apart_point(A39_821_9, L40_821_9), ~left_apart_point(A39_821_9, reverse_line(L40_821_9))
% 293.42/42.88
% 293.42/42.88 [14970] CLOSURE : ~left_apart_point(A39_821_9, L40_821_9)
% 293.42/42.88
% 293.42/42.88 [14860] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [14907] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.88
% 293.42/42.88 [14907] 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))))
% 293.42/42.88 -> [14908] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [14909] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88
% 293.42/42.88 [14909] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [14911] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88 -> [14912] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [14912] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [14973] ~(left_apart_point(A39_822_9, L40_822_9) | left_apart_point(A39_822_9, reverse_line(L40_822_9)))
% 293.42/42.88
% 293.42/42.88 [14973] ALPHA_NOT_OR : ~(left_apart_point(A39_822_9, L40_822_9) | left_apart_point(A39_822_9, reverse_line(L40_822_9)))
% 293.42/42.88 -> [14974] ~left_apart_point(A39_822_9, L40_822_9), ~left_apart_point(A39_822_9, reverse_line(L40_822_9))
% 293.42/42.88
% 293.42/42.88 [14974] CLOSURE : ~left_apart_point(A39_822_9, L40_822_9)
% 293.42/42.88
% 293.42/42.88 [14911] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [14977] ~(left_apart_point(A39_824_9, L40_824_9) | left_apart_point(A39_824_9, reverse_line(L40_824_9)))
% 293.42/42.88
% 293.42/42.88 [14977] ALPHA_NOT_OR : ~(left_apart_point(A39_824_9, L40_824_9) | left_apart_point(A39_824_9, reverse_line(L40_824_9)))
% 293.42/42.88 -> [14980] ~left_apart_point(A39_824_9, L40_824_9), ~left_apart_point(A39_824_9, reverse_line(L40_824_9))
% 293.42/42.88
% 293.42/42.88 [14980] CLOSURE : ~left_apart_point(A39_824_9, L40_824_9)
% 293.42/42.88
% 293.42/42.88 [14908] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [14923] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88 -> [14924] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [14924] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [14923] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [14312] 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))))
% 293.42/42.88 -> [14320] unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 293.42/42.88 -> [14321] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))
% 293.42/42.88
% 293.42/42.88 [14320] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 293.42/42.88
% 293.42/42.88 [14321] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [19365] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.88
% 293.42/42.88 [19365] 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))))
% 293.42/42.88 -> [19366] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [19367] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88
% 293.42/42.88 [19366] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [19398] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88 -> [19399] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [19399] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [19398] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [19367] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [19369] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88 -> [19370] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [19370] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [19526] ~(left_apart_point(A39_1359_9, L40_1359_9) | left_apart_point(A39_1359_9, reverse_line(L40_1359_9)))
% 293.42/42.88
% 293.42/42.88 [19526] ALPHA_NOT_OR : ~(left_apart_point(A39_1359_9, L40_1359_9) | left_apart_point(A39_1359_9, reverse_line(L40_1359_9)))
% 293.42/42.88 -> [19528] ~left_apart_point(A39_1359_9, L40_1359_9), ~left_apart_point(A39_1359_9, reverse_line(L40_1359_9))
% 293.42/42.88
% 293.42/42.88 [19528] CLOSURE : ~left_apart_point(A39_1359_9, L40_1359_9)
% 293.42/42.88
% 293.42/42.88 [19369] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [19601] ~(left_apart_point(A39_1365_9, L40_1365_9) | left_apart_point(A39_1365_9, reverse_line(L40_1365_9)))
% 293.42/42.88
% 293.42/42.88 [19601] ALPHA_NOT_OR : ~(left_apart_point(A39_1365_9, L40_1365_9) | left_apart_point(A39_1365_9, reverse_line(L40_1365_9)))
% 293.42/42.88 -> [19603] ~left_apart_point(A39_1365_9, L40_1365_9), ~left_apart_point(A39_1365_9, reverse_line(L40_1365_9))
% 293.42/42.88
% 293.42/42.88 [19603] CLOSURE : ~left_apart_point(A39_1365_9, L40_1365_9)
% 293.42/42.88
% 293.42/42.88 [704] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.42/42.88 -> [877] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 293.42/42.88 -> [878] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.88
% 293.42/42.88 [878] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.88 -> [883] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.88
% 293.42/42.88 [883] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.88 -> [884] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.42/42.88 -> [885] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [884] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.88 -> [1201] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.88
% 293.42/42.88 [1201] 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))))
% 293.42/42.88 -> [1387] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.88
% 293.42/42.88 [1387] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.88 -> [1388] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.88 -> [1389] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.88
% 293.42/42.88 [1388] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.88
% 293.42/42.88 [1389] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.88 -> [4003] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.88 -> [4004] distinct_points(skolem_A8080, skolem_B8181)
% 293.42/42.88
% 293.42/42.88 [4003] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.88
% 293.42/42.88 [4004] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.88 -> [5807] ~distinct_lines(N27_178_3, N27_178_3)
% 293.42/42.88
% 293.42/42.88 [5807] 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))))
% 293.42/42.88 -> [5991] (distinct_lines(N27_178_3, N27_178_3) => (distinct_lines(N27_178_3, N27_178_3) | distinct_lines(N27_178_3, N27_178_3)))
% 293.42/42.88
% 293.42/42.88 [5991] BETA_IMPLY : (distinct_lines(N27_178_3, N27_178_3) => (distinct_lines(N27_178_3, N27_178_3) | distinct_lines(N27_178_3, N27_178_3)))
% 293.42/42.88 -> [5994] ~distinct_lines(N27_178_3, N27_178_3)
% 293.42/42.88 -> [5995] (distinct_lines(N27_178_3, N27_178_3) | distinct_lines(N27_178_3, N27_178_3))
% 293.42/42.88
% 293.42/42.88 [5995] BETA_OR : (distinct_lines(N27_178_3, N27_178_3) | distinct_lines(N27_178_3, N27_178_3))
% 293.42/42.88 -> [5997] distinct_lines(N27_178_3, N27_178_3)
% 293.42/42.88 -> [5998] distinct_lines(N27_178_3, N27_178_3)
% 293.42/42.88
% 293.42/42.88 [5997] CLOSURE : distinct_lines(N27_178_3, N27_178_3)
% 293.42/42.88
% 293.42/42.88 [5998] CLOSURE : distinct_lines(N27_178_3, N27_178_3)
% 293.42/42.88
% 293.42/42.88 [5994] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.88 -> [6174] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [6174] 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))))
% 293.42/42.88 -> [6506] (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)))
% 293.42/42.88
% 293.42/42.88 [6506] 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)))
% 293.42/42.88 -> [6507] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88 -> [6508] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [6507] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [6508] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.88 -> [10751] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.88 -> [10752] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [10751] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [10752] 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))))))
% 293.42/42.88 -> [16654] ((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)))))
% 293.42/42.88
% 293.42/42.88 [16654] 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)))))
% 293.42/42.88 -> [16657] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [16658] ((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))))
% 293.42/42.88
% 293.42/42.88 [16657] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [16854] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88 -> [16855] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [16855] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [16854] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88
% 293.42/42.88 [16658] 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))))
% 293.42/42.88 -> [20793] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [20794] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.88
% 293.42/42.88 [20793] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [20911] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [20911] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [20794] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [20800] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [20800] 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)))))
% 293.42/42.88 -> [21537] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.88
% 293.42/42.88 [21537] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.88 -> [21540] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.88 -> [21541] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.88
% 293.42/42.88 [21541] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [21546] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.88 -> [21547] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [21546] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [21547] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [21956] ((unequally_directed_lines(skolem_N7979, M38_867_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_867_8))) => (left_convergent_lines(skolem_N7979, M38_867_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_867_8))))
% 293.42/42.88
% 293.42/42.88 [21956] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_867_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_867_8))) => (left_convergent_lines(skolem_N7979, M38_867_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_867_8))))
% 293.42/42.88 -> [21961] ~(unequally_directed_lines(skolem_N7979, M38_867_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_867_8)))
% 293.42/42.88 -> [21962] (left_convergent_lines(skolem_N7979, M38_867_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_867_8)))
% 293.42/42.88
% 293.42/42.88 [21962] BETA_OR : (left_convergent_lines(skolem_N7979, M38_867_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_867_8)))
% 293.42/42.88 -> [21967] left_convergent_lines(skolem_N7979, M38_867_8)
% 293.42/42.88 -> [21968] left_convergent_lines(skolem_N7979, reverse_line(M38_867_8))
% 293.42/42.88
% 293.42/42.88 [21968] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [22257] ~(left_apart_point(A39_1710_9, L40_1710_9) | left_apart_point(A39_1710_9, reverse_line(L40_1710_9)))
% 293.42/42.88
% 293.42/42.88 [22257] ALPHA_NOT_OR : ~(left_apart_point(A39_1710_9, L40_1710_9) | left_apart_point(A39_1710_9, reverse_line(L40_1710_9)))
% 293.42/42.88 -> [22258] ~left_apart_point(A39_1710_9, L40_1710_9), ~left_apart_point(A39_1710_9, reverse_line(L40_1710_9))
% 293.42/42.88
% 293.42/42.88 [22258] CLOSURE : ~left_apart_point(A39_1710_9, L40_1710_9)
% 293.42/42.88
% 293.42/42.88 [21967] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [22344] ~(left_apart_point(A39_1725_9, L40_1725_9) | left_apart_point(A39_1725_9, reverse_line(L40_1725_9)))
% 293.42/42.88
% 293.42/42.88 [22344] ALPHA_NOT_OR : ~(left_apart_point(A39_1725_9, L40_1725_9) | left_apart_point(A39_1725_9, reverse_line(L40_1725_9)))
% 293.42/42.88 -> [22347] ~left_apart_point(A39_1725_9, L40_1725_9), ~left_apart_point(A39_1725_9, reverse_line(L40_1725_9))
% 293.42/42.88
% 293.42/42.88 [22347] CLOSURE : ~left_apart_point(A39_1725_9, L40_1725_9)
% 293.42/42.88
% 293.42/42.88 [21961] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_867_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_867_8)))
% 293.42/42.88 -> [22044] ~unequally_directed_lines(skolem_N7979, M38_867_8)
% 293.42/42.88 -> [22045] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_867_8))
% 293.42/42.88
% 293.42/42.88 [22045] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_867_8))
% 293.42/42.88
% 293.42/42.88 [22044] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_867_8)
% 293.42/42.88
% 293.42/42.88 [21540] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.88 -> [21650] ~line(skolem_M7878)
% 293.42/42.88 -> [21651] ~line(skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [21651] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [21943] ((unequally_directed_lines(skolem_N7979, M38_864_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_864_8))) => (left_convergent_lines(skolem_N7979, M38_864_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_864_8))))
% 293.42/42.88
% 293.42/42.88 [21943] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_864_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_864_8))) => (left_convergent_lines(skolem_N7979, M38_864_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_864_8))))
% 293.42/42.88 -> [21944] ~(unequally_directed_lines(skolem_N7979, M38_864_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_864_8)))
% 293.42/42.88 -> [21945] (left_convergent_lines(skolem_N7979, M38_864_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_864_8)))
% 293.42/42.88
% 293.42/42.88 [21944] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_864_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_864_8)))
% 293.42/42.88 -> [22105] ~unequally_directed_lines(skolem_N7979, M38_864_8)
% 293.42/42.88 -> [22106] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_864_8))
% 293.42/42.88
% 293.42/42.88 [22106] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_864_8))
% 293.42/42.88
% 293.42/42.88 [22105] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_864_8)
% 293.42/42.88
% 293.42/42.88 [21945] BETA_OR : (left_convergent_lines(skolem_N7979, M38_864_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_864_8)))
% 293.42/42.88 -> [21948] left_convergent_lines(skolem_N7979, M38_864_8)
% 293.42/42.88 -> [21949] left_convergent_lines(skolem_N7979, reverse_line(M38_864_8))
% 293.42/42.88
% 293.42/42.88 [21949] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [22247] ~(left_apart_point(A39_1708_9, L40_1708_9) | left_apart_point(A39_1708_9, reverse_line(L40_1708_9)))
% 293.42/42.88
% 293.42/42.88 [22247] ALPHA_NOT_OR : ~(left_apart_point(A39_1708_9, L40_1708_9) | left_apart_point(A39_1708_9, reverse_line(L40_1708_9)))
% 293.42/42.88 -> [22248] ~left_apart_point(A39_1708_9, L40_1708_9), ~left_apart_point(A39_1708_9, reverse_line(L40_1708_9))
% 293.42/42.88
% 293.42/42.88 [22248] CLOSURE : ~left_apart_point(A39_1708_9, L40_1708_9)
% 293.42/42.88
% 293.42/42.88 [21948] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [23493] ~(left_apart_point(A39_1885_9, L40_1885_9) | left_apart_point(A39_1885_9, reverse_line(L40_1885_9)))
% 293.42/42.88
% 293.42/42.88 [23493] ALPHA_NOT_OR : ~(left_apart_point(A39_1885_9, L40_1885_9) | left_apart_point(A39_1885_9, reverse_line(L40_1885_9)))
% 293.42/42.88 -> [23495] ~left_apart_point(A39_1885_9, L40_1885_9), ~left_apart_point(A39_1885_9, reverse_line(L40_1885_9))
% 293.42/42.88
% 293.42/42.88 [23495] CLOSURE : ~left_apart_point(A39_1885_9, L40_1885_9)
% 293.42/42.88
% 293.42/42.88 [21650] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [22350] ((unequally_directed_lines(skolem_N7979, M38_892_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_892_8))) => (left_convergent_lines(skolem_N7979, M38_892_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_892_8))))
% 293.42/42.88
% 293.42/42.88 [22350] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_892_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_892_8))) => (left_convergent_lines(skolem_N7979, M38_892_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_892_8))))
% 293.42/42.88 -> [22355] ~(unequally_directed_lines(skolem_N7979, M38_892_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_892_8)))
% 293.42/42.88 -> [22356] (left_convergent_lines(skolem_N7979, M38_892_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_892_8)))
% 293.42/42.88
% 293.42/42.88 [22356] BETA_OR : (left_convergent_lines(skolem_N7979, M38_892_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_892_8)))
% 293.42/42.88 -> [22363] left_convergent_lines(skolem_N7979, M38_892_8)
% 293.42/42.88 -> [22364] left_convergent_lines(skolem_N7979, reverse_line(M38_892_8))
% 293.42/42.88
% 293.42/42.88 [22364] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [22930] ~(left_apart_point(A39_1799_9, L40_1799_9) | left_apart_point(A39_1799_9, reverse_line(L40_1799_9)))
% 293.42/42.88
% 293.42/42.88 [22930] ALPHA_NOT_OR : ~(left_apart_point(A39_1799_9, L40_1799_9) | left_apart_point(A39_1799_9, reverse_line(L40_1799_9)))
% 293.42/42.88 -> [22933] ~left_apart_point(A39_1799_9, L40_1799_9), ~left_apart_point(A39_1799_9, reverse_line(L40_1799_9))
% 293.42/42.88
% 293.42/42.88 [22933] CLOSURE : ~left_apart_point(A39_1799_9, L40_1799_9)
% 293.42/42.88
% 293.42/42.88 [22363] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [23153] ~(left_apart_point(A39_1829_9, L40_1829_9) | left_apart_point(A39_1829_9, reverse_line(L40_1829_9)))
% 293.42/42.88
% 293.42/42.88 [23153] ALPHA_NOT_OR : ~(left_apart_point(A39_1829_9, L40_1829_9) | left_apart_point(A39_1829_9, reverse_line(L40_1829_9)))
% 293.42/42.88 -> [23158] ~left_apart_point(A39_1829_9, L40_1829_9), ~left_apart_point(A39_1829_9, reverse_line(L40_1829_9))
% 293.42/42.88
% 293.42/42.88 [23158] CLOSURE : ~left_apart_point(A39_1829_9, L40_1829_9)
% 293.42/42.88
% 293.42/42.88 [22355] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_892_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_892_8)))
% 293.42/42.88 -> [22371] ~unequally_directed_lines(skolem_N7979, M38_892_8)
% 293.42/42.88 -> [22372] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_892_8))
% 293.42/42.88
% 293.42/42.88 [22372] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_892_8))
% 293.42/42.88
% 293.42/42.88 [22371] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_892_8)
% 293.42/42.88
% 293.42/42.88 [885] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.88 -> [946] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.88
% 293.42/42.88 [946] 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))))
% 293.42/42.88 -> [976] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.88
% 293.42/42.88 [976] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.88 -> [979] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.88 -> [980] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.88
% 293.42/42.88 [979] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.88
% 293.42/42.88 [980] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.88 -> [1827] distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.88 -> [1828] distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.88
% 293.42/42.88 [1828] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.88
% 293.42/42.88 [1827] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.88 -> [4862] ~distinct_lines(N27_129_3, N27_129_3)
% 293.42/42.88
% 293.42/42.88 [4862] 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))))
% 293.42/42.88 -> [4887] (distinct_lines(N27_129_3, N27_129_3) => (distinct_lines(N27_129_3, N27_129_3) | distinct_lines(N27_129_3, N27_129_3)))
% 293.42/42.88
% 293.42/42.88 [4887] BETA_IMPLY : (distinct_lines(N27_129_3, N27_129_3) => (distinct_lines(N27_129_3, N27_129_3) | distinct_lines(N27_129_3, N27_129_3)))
% 293.42/42.88 -> [4888] ~distinct_lines(N27_129_3, N27_129_3)
% 293.42/42.88 -> [4889] (distinct_lines(N27_129_3, N27_129_3) | distinct_lines(N27_129_3, N27_129_3))
% 293.42/42.88
% 293.42/42.88 [4889] BETA_OR : (distinct_lines(N27_129_3, N27_129_3) | distinct_lines(N27_129_3, N27_129_3))
% 293.42/42.88 -> [4890] distinct_lines(N27_129_3, N27_129_3)
% 293.42/42.88 -> [4891] distinct_lines(N27_129_3, N27_129_3)
% 293.42/42.88
% 293.42/42.88 [4891] CLOSURE : distinct_lines(N27_129_3, N27_129_3)
% 293.42/42.88
% 293.42/42.88 [4890] CLOSURE : distinct_lines(N27_129_3, N27_129_3)
% 293.42/42.88
% 293.42/42.88 [4888] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.88 -> [4930] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [4930] 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))))
% 293.42/42.88 -> [4952] (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))))
% 293.42/42.88
% 293.42/42.88 [4952] 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))))
% 293.42/42.88 -> [4953] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88 -> [4954] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.88
% 293.42/42.88 [4953] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [4954] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.88 -> [8013] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88 -> [8014] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [8014] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [8013] 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))))))
% 293.42/42.88 -> [13119] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_194_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_194_6))) | (unequally_directed_lines(skolem_N7979, N34_194_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_194_6)))))
% 293.42/42.88
% 293.42/42.88 [13119] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_194_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_194_6))) | (unequally_directed_lines(skolem_N7979, N34_194_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_194_6)))))
% 293.42/42.88 -> [13123] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [13124] ((unequally_directed_lines(skolem_M7878, N34_194_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_194_6))) | (unequally_directed_lines(skolem_N7979, N34_194_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_194_6))))
% 293.42/42.88
% 293.42/42.88 [13123] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [13142] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88 -> [13143] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [13143] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [13142] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88
% 293.42/42.88 [13124] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_194_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_194_6))) | (unequally_directed_lines(skolem_N7979, N34_194_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_194_6))))
% 293.42/42.88 -> [15915] (unequally_directed_lines(skolem_M7878, N34_194_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_194_6)))
% 293.42/42.88 -> [15916] (unequally_directed_lines(skolem_N7979, N34_194_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_194_6)))
% 293.42/42.88
% 293.42/42.88 [15916] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_194_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_194_6)))
% 293.42/42.88 -> [15921] unequally_directed_lines(skolem_N7979, N34_194_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_194_6))
% 293.42/42.88
% 293.42/42.88 [15921] 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)))))
% 293.42/42.88 -> [19858] ((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)))))
% 293.42/42.88
% 293.42/42.88 [19858] 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)))))
% 293.42/42.88 -> [19859] ~(line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181)))
% 293.42/42.88 -> [19860] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 293.42/42.88
% 293.42/42.88 [19859] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181)))
% 293.42/42.88 -> [19908] ~line(skolem_L7777)
% 293.42/42.88 -> [19909] ~line(line_connecting(skolem_C8282, skolem_B8181))
% 293.42/42.88
% 293.42/42.88 [19909] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [19986] ((unequally_directed_lines(skolem_N7979, M38_740_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_740_8))) => (left_convergent_lines(skolem_N7979, M38_740_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_740_8))))
% 293.42/42.88
% 293.42/42.88 [19986] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_740_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_740_8))) => (left_convergent_lines(skolem_N7979, M38_740_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_740_8))))
% 293.42/42.88 -> [19989] ~(unequally_directed_lines(skolem_N7979, M38_740_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_740_8)))
% 293.42/42.88 -> [19990] (left_convergent_lines(skolem_N7979, M38_740_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_740_8)))
% 293.42/42.88
% 293.42/42.88 [19990] BETA_OR : (left_convergent_lines(skolem_N7979, M38_740_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_740_8)))
% 293.42/42.88 -> [19992] left_convergent_lines(skolem_N7979, M38_740_8)
% 293.42/42.88 -> [19993] left_convergent_lines(skolem_N7979, reverse_line(M38_740_8))
% 293.42/42.88
% 293.42/42.88 [19993] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [20253] ~(left_apart_point(A39_1446_9, L40_1446_9) | left_apart_point(A39_1446_9, reverse_line(L40_1446_9)))
% 293.42/42.88
% 293.42/42.88 [20253] ALPHA_NOT_OR : ~(left_apart_point(A39_1446_9, L40_1446_9) | left_apart_point(A39_1446_9, reverse_line(L40_1446_9)))
% 293.42/42.88 -> [20255] ~left_apart_point(A39_1446_9, L40_1446_9), ~left_apart_point(A39_1446_9, reverse_line(L40_1446_9))
% 293.42/42.88
% 293.42/42.88 [20255] CLOSURE : ~left_apart_point(A39_1446_9, L40_1446_9)
% 293.42/42.88
% 293.42/42.88 [19992] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [20304] ~(left_apart_point(A39_1457_9, L40_1457_9) | left_apart_point(A39_1457_9, reverse_line(L40_1457_9)))
% 293.42/42.88
% 293.42/42.88 [20304] ALPHA_NOT_OR : ~(left_apart_point(A39_1457_9, L40_1457_9) | left_apart_point(A39_1457_9, reverse_line(L40_1457_9)))
% 293.42/42.88 -> [20309] ~left_apart_point(A39_1457_9, L40_1457_9), ~left_apart_point(A39_1457_9, reverse_line(L40_1457_9))
% 293.42/42.88
% 293.42/42.88 [20309] CLOSURE : ~left_apart_point(A39_1457_9, L40_1457_9)
% 293.42/42.88
% 293.42/42.88 [19989] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_740_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_740_8)))
% 293.42/42.88 -> [20023] ~unequally_directed_lines(skolem_N7979, M38_740_8)
% 293.42/42.88 -> [20024] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_740_8))
% 293.42/42.88
% 293.42/42.88 [20024] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_740_8))
% 293.42/42.88
% 293.42/42.88 [20023] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_740_8)
% 293.42/42.88
% 293.42/42.88 [19908] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [20014] ((unequally_directed_lines(skolem_N7979, M38_742_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_742_8))) => (left_convergent_lines(skolem_N7979, M38_742_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_742_8))))
% 293.42/42.88
% 293.42/42.88 [20014] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_742_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_742_8))) => (left_convergent_lines(skolem_N7979, M38_742_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_742_8))))
% 293.42/42.88 -> [20015] ~(unequally_directed_lines(skolem_N7979, M38_742_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_742_8)))
% 293.42/42.88 -> [20016] (left_convergent_lines(skolem_N7979, M38_742_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_742_8)))
% 293.42/42.88
% 293.42/42.88 [20016] BETA_OR : (left_convergent_lines(skolem_N7979, M38_742_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_742_8)))
% 293.42/42.88 -> [20019] left_convergent_lines(skolem_N7979, M38_742_8)
% 293.42/42.88 -> [20020] left_convergent_lines(skolem_N7979, reverse_line(M38_742_8))
% 293.42/42.88
% 293.42/42.88 [20020] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [20294] ~(left_apart_point(A39_1455_9, L40_1455_9) | left_apart_point(A39_1455_9, reverse_line(L40_1455_9)))
% 293.42/42.88
% 293.42/42.88 [20294] ALPHA_NOT_OR : ~(left_apart_point(A39_1455_9, L40_1455_9) | left_apart_point(A39_1455_9, reverse_line(L40_1455_9)))
% 293.42/42.88 -> [20296] ~left_apart_point(A39_1455_9, L40_1455_9), ~left_apart_point(A39_1455_9, reverse_line(L40_1455_9))
% 293.42/42.88
% 293.42/42.88 [20296] CLOSURE : ~left_apart_point(A39_1455_9, L40_1455_9)
% 293.42/42.88
% 293.42/42.88 [20019] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [20364] ~(left_apart_point(A39_1471_9, L40_1471_9) | left_apart_point(A39_1471_9, reverse_line(L40_1471_9)))
% 293.42/42.88
% 293.42/42.88 [20364] ALPHA_NOT_OR : ~(left_apart_point(A39_1471_9, L40_1471_9) | left_apart_point(A39_1471_9, reverse_line(L40_1471_9)))
% 293.42/42.88 -> [20365] ~left_apart_point(A39_1471_9, L40_1471_9), ~left_apart_point(A39_1471_9, reverse_line(L40_1471_9))
% 293.42/42.88
% 293.42/42.88 [20365] CLOSURE : ~left_apart_point(A39_1471_9, L40_1471_9)
% 293.42/42.88
% 293.42/42.88 [20015] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_742_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_742_8)))
% 293.42/42.88 -> [20056] ~unequally_directed_lines(skolem_N7979, M38_742_8)
% 293.42/42.88 -> [20057] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_742_8))
% 293.42/42.88
% 293.42/42.88 [20057] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_742_8))
% 293.42/42.88
% 293.42/42.88 [20056] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_742_8)
% 293.42/42.88
% 293.42/42.88 [19860] 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))))
% 293.42/42.88 -> [19863] unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 293.42/42.88 -> [19864] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))
% 293.42/42.88
% 293.42/42.88 [19863] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 293.42/42.88
% 293.42/42.88 [19864] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [21389] ((unequally_directed_lines(skolem_N7979, M38_836_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_836_8))) => (left_convergent_lines(skolem_N7979, M38_836_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_836_8))))
% 293.42/42.88
% 293.42/42.88 [21389] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_836_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_836_8))) => (left_convergent_lines(skolem_N7979, M38_836_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_836_8))))
% 293.42/42.88 -> [23453] ~(unequally_directed_lines(skolem_N7979, M38_836_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_836_8)))
% 293.42/42.88 -> [23454] (left_convergent_lines(skolem_N7979, M38_836_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_836_8)))
% 293.42/42.88
% 293.42/42.88 [23453] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_836_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_836_8)))
% 293.42/42.88 -> [23509] ~unequally_directed_lines(skolem_N7979, M38_836_8)
% 293.42/42.88 -> [23510] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_836_8))
% 293.42/42.88
% 293.42/42.88 [23510] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_836_8))
% 293.42/42.88
% 293.42/42.88 [23509] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_836_8)
% 293.42/42.88
% 293.42/42.88 [23454] BETA_OR : (left_convergent_lines(skolem_N7979, M38_836_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_836_8)))
% 293.42/42.88 -> [23461] left_convergent_lines(skolem_N7979, M38_836_8)
% 293.42/42.88 -> [23462] left_convergent_lines(skolem_N7979, reverse_line(M38_836_8))
% 293.42/42.88
% 293.42/42.88 [23461] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [23883] ~(left_apart_point(A39_1945_9, L40_1945_9) | left_apart_point(A39_1945_9, reverse_line(L40_1945_9)))
% 293.42/42.88
% 293.42/42.88 [23883] ALPHA_NOT_OR : ~(left_apart_point(A39_1945_9, L40_1945_9) | left_apart_point(A39_1945_9, reverse_line(L40_1945_9)))
% 293.42/42.88 -> [23884] ~left_apart_point(A39_1945_9, L40_1945_9), ~left_apart_point(A39_1945_9, reverse_line(L40_1945_9))
% 293.42/42.88
% 293.42/42.88 [23884] CLOSURE : ~left_apart_point(A39_1945_9, L40_1945_9)
% 293.42/42.88
% 293.42/42.88 [23462] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [23867] ~(left_apart_point(A39_1942_9, L40_1942_9) | left_apart_point(A39_1942_9, reverse_line(L40_1942_9)))
% 293.42/42.88
% 293.42/42.88 [23867] ALPHA_NOT_OR : ~(left_apart_point(A39_1942_9, L40_1942_9) | left_apart_point(A39_1942_9, reverse_line(L40_1942_9)))
% 293.42/42.88 -> [24033] ~left_apart_point(A39_1942_9, L40_1942_9), ~left_apart_point(A39_1942_9, reverse_line(L40_1942_9))
% 293.42/42.88
% 293.42/42.88 [24033] CLOSURE : ~left_apart_point(A39_1942_9, L40_1942_9)
% 293.42/42.88
% 293.42/42.88 [15915] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_194_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_194_6)))
% 293.42/42.88 -> [16084] unequally_directed_lines(skolem_M7878, N34_194_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_194_6))
% 293.42/42.88
% 293.42/42.88 [16084] 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)))))
% 293.42/42.88 -> [19804] ((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)))))
% 293.42/42.88
% 293.42/42.88 [19804] 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)))))
% 293.42/42.88 -> [19806] ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.88 -> [19807] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))
% 293.42/42.88
% 293.42/42.88 [19806] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.88 -> [19814] ~line(skolem_L7777)
% 293.42/42.88 -> [19815] ~line(line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.88
% 293.42/42.88 [19815] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [19842] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.88
% 293.42/42.88 [19842] 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))))
% 293.42/42.88 -> [19844] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [19845] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88
% 293.42/42.88 [19845] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [19848] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88 -> [19849] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [19849] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [19963] ~(left_apart_point(A39_1412_9, L40_1412_9) | left_apart_point(A39_1412_9, reverse_line(L40_1412_9)))
% 293.42/42.88
% 293.42/42.88 [19963] ALPHA_NOT_OR : ~(left_apart_point(A39_1412_9, L40_1412_9) | left_apart_point(A39_1412_9, reverse_line(L40_1412_9)))
% 293.42/42.88 -> [19965] ~left_apart_point(A39_1412_9, L40_1412_9), ~left_apart_point(A39_1412_9, reverse_line(L40_1412_9))
% 293.42/42.88
% 293.42/42.88 [19965] CLOSURE : ~left_apart_point(A39_1412_9, L40_1412_9)
% 293.42/42.88
% 293.42/42.88 [19848] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [19982] ~(left_apart_point(A39_1418_9, L40_1418_9) | left_apart_point(A39_1418_9, reverse_line(L40_1418_9)))
% 293.42/42.88
% 293.42/42.88 [19982] ALPHA_NOT_OR : ~(left_apart_point(A39_1418_9, L40_1418_9) | left_apart_point(A39_1418_9, reverse_line(L40_1418_9)))
% 293.42/42.88 -> [19983] ~left_apart_point(A39_1418_9, L40_1418_9), ~left_apart_point(A39_1418_9, reverse_line(L40_1418_9))
% 293.42/42.88
% 293.42/42.88 [19983] CLOSURE : ~left_apart_point(A39_1418_9, L40_1418_9)
% 293.42/42.88
% 293.42/42.88 [19844] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [19883] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88 -> [19884] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [19884] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [19883] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [19814] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [19875] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.88
% 293.42/42.88 [19875] 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))))
% 293.42/42.88 -> [19876] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [19877] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88
% 293.42/42.88 [19876] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [19918] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88 -> [19919] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [19919] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [19918] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [19877] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [19878] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88 -> [19879] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [19879] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [19977] ~(left_apart_point(A39_1416_9, L40_1416_9) | left_apart_point(A39_1416_9, reverse_line(L40_1416_9)))
% 293.42/42.88
% 293.42/42.88 [19977] ALPHA_NOT_OR : ~(left_apart_point(A39_1416_9, L40_1416_9) | left_apart_point(A39_1416_9, reverse_line(L40_1416_9)))
% 293.42/42.88 -> [19978] ~left_apart_point(A39_1416_9, L40_1416_9), ~left_apart_point(A39_1416_9, reverse_line(L40_1416_9))
% 293.42/42.88
% 293.42/42.88 [19978] CLOSURE : ~left_apart_point(A39_1416_9, L40_1416_9)
% 293.42/42.88
% 293.42/42.88 [19878] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [20017] ~(left_apart_point(A39_1426_9, L40_1426_9) | left_apart_point(A39_1426_9, reverse_line(L40_1426_9)))
% 293.42/42.88
% 293.42/42.88 [20017] ALPHA_NOT_OR : ~(left_apart_point(A39_1426_9, L40_1426_9) | left_apart_point(A39_1426_9, reverse_line(L40_1426_9)))
% 293.42/42.88 -> [20022] ~left_apart_point(A39_1426_9, L40_1426_9), ~left_apart_point(A39_1426_9, reverse_line(L40_1426_9))
% 293.42/42.88
% 293.42/42.88 [20022] CLOSURE : ~left_apart_point(A39_1426_9, L40_1426_9)
% 293.42/42.88
% 293.42/42.88 [19807] 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))))
% 293.42/42.88 -> [19810] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.88 -> [19811] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.88
% 293.42/42.88 [19810] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.88
% 293.42/42.88 [19811] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [22684] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.88
% 293.42/42.88 [22684] 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))))
% 293.42/42.88 -> [22686] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [22687] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88
% 293.42/42.88 [22686] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [22736] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88 -> [22737] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [22737] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [22736] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [22687] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [22690] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88 -> [22691] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [22690] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [22836] ~(left_apart_point(A39_1785_9, L40_1785_9) | left_apart_point(A39_1785_9, reverse_line(L40_1785_9)))
% 293.42/42.88
% 293.42/42.88 [22836] ALPHA_NOT_OR : ~(left_apart_point(A39_1785_9, L40_1785_9) | left_apart_point(A39_1785_9, reverse_line(L40_1785_9)))
% 293.42/42.88 -> [22839] ~left_apart_point(A39_1785_9, L40_1785_9), ~left_apart_point(A39_1785_9, reverse_line(L40_1785_9))
% 293.42/42.88
% 293.42/42.88 [22839] CLOSURE : ~left_apart_point(A39_1785_9, L40_1785_9)
% 293.42/42.88
% 293.42/42.88 [22691] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [24199] ~(left_apart_point(A39_1991_9, L40_1991_9) | left_apart_point(A39_1991_9, reverse_line(L40_1991_9)))
% 293.42/42.88
% 293.42/42.88 [24199] ALPHA_NOT_OR : ~(left_apart_point(A39_1991_9, L40_1991_9) | left_apart_point(A39_1991_9, reverse_line(L40_1991_9)))
% 293.42/42.88 -> [24202] ~left_apart_point(A39_1991_9, L40_1991_9), ~left_apart_point(A39_1991_9, reverse_line(L40_1991_9))
% 293.42/42.88
% 293.42/42.88 [24202] CLOSURE : ~left_apart_point(A39_1991_9, L40_1991_9)
% 293.42/42.88
% 293.42/42.88 [877] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.88 -> [1234] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.88
% 293.42/42.88 [1234] 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))))
% 293.42/42.88 -> [1452] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.88
% 293.42/42.88 [1452] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.88 -> [1456] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.88 -> [1457] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.88
% 293.42/42.88 [1456] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.88
% 293.42/42.88 [1457] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.88 -> [7893] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.88 -> [7894] distinct_points(skolem_A8080, skolem_B8181)
% 293.42/42.88
% 293.42/42.88 [7893] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.88
% 293.42/42.88 [7894] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.88 -> [9124] ~distinct_lines(N27_271_3, N27_271_3)
% 293.42/42.88
% 293.42/42.88 [9124] 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))))
% 293.42/42.88 -> [10520] (distinct_lines(N27_271_3, N27_271_3) => (distinct_lines(N27_271_3, N27_271_3) | distinct_lines(N27_271_3, N27_271_3)))
% 293.42/42.88
% 293.42/42.88 [10520] BETA_IMPLY : (distinct_lines(N27_271_3, N27_271_3) => (distinct_lines(N27_271_3, N27_271_3) | distinct_lines(N27_271_3, N27_271_3)))
% 293.42/42.88 -> [10523] ~distinct_lines(N27_271_3, N27_271_3)
% 293.42/42.88 -> [10524] (distinct_lines(N27_271_3, N27_271_3) | distinct_lines(N27_271_3, N27_271_3))
% 293.42/42.88
% 293.42/42.88 [10524] BETA_OR : (distinct_lines(N27_271_3, N27_271_3) | distinct_lines(N27_271_3, N27_271_3))
% 293.42/42.88 -> [10529] distinct_lines(N27_271_3, N27_271_3)
% 293.42/42.88 -> [10530] distinct_lines(N27_271_3, N27_271_3)
% 293.42/42.88
% 293.42/42.88 [10529] CLOSURE : distinct_lines(N27_271_3, N27_271_3)
% 293.42/42.88
% 293.42/42.88 [10530] CLOSURE : distinct_lines(N27_271_3, N27_271_3)
% 293.42/42.88
% 293.42/42.88 [10523] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.88 -> [10585] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [10585] 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))))
% 293.42/42.88 -> [10619] (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)))
% 293.42/42.88
% 293.42/42.88 [10619] 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)))
% 293.42/42.88 -> [10620] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88 -> [10621] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [10620] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [10621] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.88 -> [13733] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.88 -> [13734] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [13733] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [13734] 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))))))
% 293.42/42.88 -> [19898] ((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))))))
% 293.42/42.88
% 293.42/42.88 [19898] 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))))))
% 293.42/42.88 -> [19901] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [19902] ((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)))))
% 293.42/42.88
% 293.42/42.88 [19901] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [19935] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88 -> [19936] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [19936] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [19935] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [19902] 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)))))
% 293.42/42.88 -> [24807] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))
% 293.42/42.88 -> [24808] (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))
% 293.42/42.88
% 293.42/42.88 [24807] 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))))
% 293.42/42.88 -> [24831] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)), unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.88
% 293.42/42.88 [24831] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.88
% 293.42/42.88 [24815] 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)))))
% 293.42/42.88 -> [24985] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.88
% 293.42/42.88 [24985] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.88 -> [24986] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.88 -> [24987] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.88
% 293.42/42.88 [24987] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [24991] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.88 -> [24992] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [24991] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [24992] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [25024] ((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)))))
% 293.42/42.88
% 293.42/42.88 [25024] 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)))))
% 293.42/42.88 -> [25028] ~(unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))
% 293.42/42.88 -> [25029] (left_convergent_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080)) | left_convergent_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))
% 293.42/42.88
% 293.42/42.88 [25028] 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))))
% 293.42/42.88 -> [25696] ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.88 -> [25697] ~unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.88
% 293.42/42.88 [25697] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.88
% 293.42/42.88 [25696] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.88
% 293.42/42.88 [25029] 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))))
% 293.42/42.88 -> [25965] left_convergent_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.88 -> [25966] left_convergent_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.88
% 293.42/42.88 [25965] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [25984] ~(left_apart_point(A39_2266_9, L40_2266_9) | left_apart_point(A39_2266_9, reverse_line(L40_2266_9)))
% 293.42/42.88
% 293.42/42.88 [25984] ALPHA_NOT_OR : ~(left_apart_point(A39_2266_9, L40_2266_9) | left_apart_point(A39_2266_9, reverse_line(L40_2266_9)))
% 293.42/42.88 -> [25985] ~left_apart_point(A39_2266_9, L40_2266_9), ~left_apart_point(A39_2266_9, reverse_line(L40_2266_9))
% 293.42/42.88
% 293.42/42.88 [25985] CLOSURE : ~left_apart_point(A39_2266_9, L40_2266_9)
% 293.42/42.88
% 293.42/42.88 [25966] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [26249] ~(left_apart_point(A39_2311_9, L40_2311_9) | left_apart_point(A39_2311_9, reverse_line(L40_2311_9)))
% 293.42/42.88
% 293.42/42.88 [26249] ALPHA_NOT_OR : ~(left_apart_point(A39_2311_9, L40_2311_9) | left_apart_point(A39_2311_9, reverse_line(L40_2311_9)))
% 293.42/42.88 -> [26250] ~left_apart_point(A39_2311_9, L40_2311_9), ~left_apart_point(A39_2311_9, reverse_line(L40_2311_9))
% 293.42/42.88
% 293.42/42.88 [26250] CLOSURE : ~left_apart_point(A39_2311_9, L40_2311_9)
% 293.42/42.88
% 293.42/42.88 [24986] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.88 -> [24994] ~line(skolem_M7878)
% 293.42/42.88 -> [24995] ~line(skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [24994] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [25970] ((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)))))
% 293.42/42.88
% 293.42/42.88 [25970] 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)))))
% 293.42/42.88 -> [25971] ~(unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))
% 293.42/42.88 -> [25972] (left_convergent_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080)) | left_convergent_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))
% 293.42/42.88
% 293.42/42.88 [25971] 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))))
% 293.42/42.88 -> [25982] ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.88 -> [25983] ~unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.88
% 293.42/42.88 [25983] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.88
% 293.42/42.88 [25982] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.88
% 293.42/42.88 [25972] 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))))
% 293.42/42.88 -> [25973] left_convergent_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.88 -> [25974] left_convergent_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.88
% 293.42/42.88 [25974] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [25990] ~(left_apart_point(A39_2268_9, L40_2268_9) | left_apart_point(A39_2268_9, reverse_line(L40_2268_9)))
% 293.42/42.88
% 293.42/42.88 [25990] ALPHA_NOT_OR : ~(left_apart_point(A39_2268_9, L40_2268_9) | left_apart_point(A39_2268_9, reverse_line(L40_2268_9)))
% 293.42/42.88 -> [25991] ~left_apart_point(A39_2268_9, L40_2268_9), ~left_apart_point(A39_2268_9, reverse_line(L40_2268_9))
% 293.42/42.88
% 293.42/42.88 [25991] CLOSURE : ~left_apart_point(A39_2268_9, L40_2268_9)
% 293.42/42.88
% 293.42/42.88 [25973] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [26189] ~(left_apart_point(A39_2306_9, L40_2306_9) | left_apart_point(A39_2306_9, reverse_line(L40_2306_9)))
% 293.42/42.88
% 293.42/42.88 [26189] ALPHA_NOT_OR : ~(left_apart_point(A39_2306_9, L40_2306_9) | left_apart_point(A39_2306_9, reverse_line(L40_2306_9)))
% 293.42/42.88 -> [26191] ~left_apart_point(A39_2306_9, L40_2306_9), ~left_apart_point(A39_2306_9, reverse_line(L40_2306_9))
% 293.42/42.88
% 293.42/42.88 [26191] CLOSURE : ~left_apart_point(A39_2306_9, L40_2306_9)
% 293.42/42.88
% 293.42/42.88 [24995] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [25009] ((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)))))
% 293.42/42.88
% 293.42/42.88 [25009] 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)))))
% 293.42/42.88 -> [25011] ~(unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))
% 293.42/42.88 -> [25012] (left_convergent_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080)) | left_convergent_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))
% 293.42/42.88
% 293.42/42.88 [25012] 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))))
% 293.42/42.88 -> [25015] left_convergent_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.88 -> [25016] left_convergent_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.88
% 293.42/42.88 [25015] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [25666] ~(left_apart_point(A39_2215_9, L40_2215_9) | left_apart_point(A39_2215_9, reverse_line(L40_2215_9)))
% 293.42/42.88
% 293.42/42.88 [25666] ALPHA_NOT_OR : ~(left_apart_point(A39_2215_9, L40_2215_9) | left_apart_point(A39_2215_9, reverse_line(L40_2215_9)))
% 293.42/42.88 -> [25667] ~left_apart_point(A39_2215_9, L40_2215_9), ~left_apart_point(A39_2215_9, reverse_line(L40_2215_9))
% 293.42/42.88
% 293.42/42.88 [25667] CLOSURE : ~left_apart_point(A39_2215_9, L40_2215_9)
% 293.42/42.88
% 293.42/42.88 [25016] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [25711] ~(left_apart_point(A39_2220_9, L40_2220_9) | left_apart_point(A39_2220_9, reverse_line(L40_2220_9)))
% 293.42/42.88
% 293.42/42.88 [25711] ALPHA_NOT_OR : ~(left_apart_point(A39_2220_9, L40_2220_9) | left_apart_point(A39_2220_9, reverse_line(L40_2220_9)))
% 293.42/42.88 -> [25713] ~left_apart_point(A39_2220_9, L40_2220_9), ~left_apart_point(A39_2220_9, reverse_line(L40_2220_9))
% 293.42/42.88
% 293.42/42.88 [25713] CLOSURE : ~left_apart_point(A39_2220_9, L40_2220_9)
% 293.42/42.88
% 293.42/42.88 [25011] 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))))
% 293.42/42.88 -> [25986] ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.88 -> [25987] ~unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.88
% 293.42/42.88 [25986] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.88
% 293.42/42.88 [25987] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.88
% 293.42/42.88 [492] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.88 -> [644] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.42/42.88 -> [645] ~~(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)))
% 293.42/42.88
% 293.42/42.88 [644] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.88 -> [842] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))
% 293.42/42.88 -> [843] ~~(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)))
% 293.42/42.88
% 293.42/42.88 [843] 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)))
% 293.42/42.88 -> [845] (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)))
% 293.42/42.88
% 293.42/42.88 [845] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.42/42.88 -> [847] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 293.42/42.88 -> [848] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.88
% 293.42/42.88 [847] 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)))
% 293.42/42.88 -> [1238] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 293.42/42.88 -> [1239] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [1239] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.88 -> [1264] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.88
% 293.42/42.88 [1264] 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))))
% 293.42/42.88 -> [1546] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.88
% 293.42/42.88 [1546] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.88 -> [1547] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.88 -> [1548] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.88
% 293.42/42.88 [1547] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.88
% 293.42/42.88 [1548] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.88 -> [4245] distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.88 -> [4246] distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.88
% 293.42/42.88 [4246] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.88
% 293.42/42.88 [4245] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.88 -> [4518] ~distinct_lines(N27_112_3, N27_112_3)
% 293.42/42.88
% 293.42/42.88 [4518] 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))))
% 293.42/42.88 -> [4544] (distinct_lines(N27_112_3, N27_112_3) => (distinct_lines(N27_112_3, N27_112_3) | distinct_lines(N27_112_3, N27_112_3)))
% 293.42/42.88
% 293.42/42.88 [4544] 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)))
% 293.42/42.88 -> [4545] ~distinct_lines(N27_112_3, N27_112_3)
% 293.42/42.88 -> [4546] (distinct_lines(N27_112_3, N27_112_3) | distinct_lines(N27_112_3, N27_112_3))
% 293.42/42.88
% 293.42/42.88 [4546] BETA_OR : (distinct_lines(N27_112_3, N27_112_3) | distinct_lines(N27_112_3, N27_112_3))
% 293.42/42.88 -> [4548] distinct_lines(N27_112_3, N27_112_3)
% 293.42/42.88 -> [4549] distinct_lines(N27_112_3, N27_112_3)
% 293.42/42.88
% 293.42/42.88 [4549] CLOSURE : distinct_lines(N27_112_3, N27_112_3)
% 293.42/42.88
% 293.42/42.88 [4548] CLOSURE : distinct_lines(N27_112_3, N27_112_3)
% 293.42/42.88
% 293.42/42.88 [4545] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.88 -> [4564] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [4564] 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))))
% 293.42/42.88 -> [4641] (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))))
% 293.42/42.88
% 293.42/42.88 [4641] 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))))
% 293.42/42.88 -> [4642] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88 -> [4643] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.88
% 293.42/42.88 [4642] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [4643] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.88 -> [5078] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88 -> [5079] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [5079] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [5078] 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))))))
% 293.42/42.88 -> [7533] ((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)))))
% 293.42/42.88
% 293.42/42.88 [7533] 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)))))
% 293.42/42.88 -> [7534] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [7535] ((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))))
% 293.42/42.88
% 293.42/42.88 [7534] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [7605] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88 -> [7606] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [7606] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [7605] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88
% 293.42/42.88 [7535] 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))))
% 293.42/42.88 -> [11751] (unequally_directed_lines(skolem_M7878, N34_67_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_67_6)))
% 293.42/42.88 -> [11752] (unequally_directed_lines(skolem_N7979, N34_67_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_67_6)))
% 293.42/42.88
% 293.42/42.88 [11751] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_67_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_67_6)))
% 293.42/42.88 -> [11792] unequally_directed_lines(skolem_M7878, N34_67_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_67_6))
% 293.42/42.88
% 293.42/42.88 [11792] 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)))))
% 293.42/42.88 -> [12201] ((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))))
% 293.42/42.88
% 293.42/42.88 [12201] 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))))
% 293.42/42.88 -> [12203] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.88 -> [12204] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.88
% 293.42/42.88 [12203] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.88 -> [12274] ~line(reverse_line(skolem_N7979))
% 293.42/42.88 -> [12275] ~line(skolem_N7979)
% 293.42/42.88
% 293.42/42.88 [12275] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [12525] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.88
% 293.42/42.88 [12525] 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))))
% 293.42/42.88 -> [12527] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [12528] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88
% 293.42/42.88 [12528] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [12532] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88 -> [12533] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [12533] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [12947] ~(left_apart_point(A39_572_9, L40_572_9) | left_apart_point(A39_572_9, reverse_line(L40_572_9)))
% 293.42/42.88
% 293.42/42.88 [12947] ALPHA_NOT_OR : ~(left_apart_point(A39_572_9, L40_572_9) | left_apart_point(A39_572_9, reverse_line(L40_572_9)))
% 293.42/42.88 -> [12949] ~left_apart_point(A39_572_9, L40_572_9), ~left_apart_point(A39_572_9, reverse_line(L40_572_9))
% 293.42/42.88
% 293.42/42.88 [12949] CLOSURE : ~left_apart_point(A39_572_9, L40_572_9)
% 293.42/42.88
% 293.42/42.88 [12532] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [12996] ~(left_apart_point(A39_580_9, L40_580_9) | left_apart_point(A39_580_9, reverse_line(L40_580_9)))
% 293.42/42.88
% 293.42/42.88 [12996] ALPHA_NOT_OR : ~(left_apart_point(A39_580_9, L40_580_9) | left_apart_point(A39_580_9, reverse_line(L40_580_9)))
% 293.42/42.88 -> [12997] ~left_apart_point(A39_580_9, L40_580_9), ~left_apart_point(A39_580_9, reverse_line(L40_580_9))
% 293.42/42.88
% 293.42/42.88 [12997] CLOSURE : ~left_apart_point(A39_580_9, L40_580_9)
% 293.42/42.88
% 293.42/42.88 [12527] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [12676] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88 -> [12677] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [12677] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [12676] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [12274] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [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))))
% 293.42/42.88
% 293.42/42.88 [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))))
% 293.42/42.88 -> [12656] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [12657] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88
% 293.42/42.88 [12657] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [12665] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88 -> [12666] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [12666] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [12989] ~(left_apart_point(A39_579_9, L40_579_9) | left_apart_point(A39_579_9, reverse_line(L40_579_9)))
% 293.42/42.88
% 293.42/42.88 [12989] ALPHA_NOT_OR : ~(left_apart_point(A39_579_9, L40_579_9) | left_apart_point(A39_579_9, reverse_line(L40_579_9)))
% 293.42/42.88 -> [12994] ~left_apart_point(A39_579_9, L40_579_9), ~left_apart_point(A39_579_9, reverse_line(L40_579_9))
% 293.42/42.88
% 293.42/42.88 [12994] CLOSURE : ~left_apart_point(A39_579_9, L40_579_9)
% 293.42/42.88
% 293.42/42.88 [12665] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [13028] ~(left_apart_point(A39_586_9, L40_586_9) | left_apart_point(A39_586_9, reverse_line(L40_586_9)))
% 293.42/42.88
% 293.42/42.88 [13028] ALPHA_NOT_OR : ~(left_apart_point(A39_586_9, L40_586_9) | left_apart_point(A39_586_9, reverse_line(L40_586_9)))
% 293.42/42.88 -> [13030] ~left_apart_point(A39_586_9, L40_586_9), ~left_apart_point(A39_586_9, reverse_line(L40_586_9))
% 293.42/42.88
% 293.42/42.88 [13030] CLOSURE : ~left_apart_point(A39_586_9, L40_586_9)
% 293.42/42.88
% 293.42/42.88 [12656] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [12759] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88 -> [12760] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [12760] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [12759] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [12204] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.88 -> [12207] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 293.42/42.88 -> [12208] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [12208] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [12207] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [13295] ((unequally_directed_lines(skolem_M7878, M38_320_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_320_8))) => (left_convergent_lines(skolem_M7878, M38_320_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_320_8))))
% 293.42/42.88
% 293.42/42.88 [13295] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_320_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_320_8))) => (left_convergent_lines(skolem_M7878, M38_320_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_320_8))))
% 293.42/42.88 -> [13299] ~(unequally_directed_lines(skolem_M7878, M38_320_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_320_8)))
% 293.42/42.88 -> [13300] (left_convergent_lines(skolem_M7878, M38_320_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_320_8)))
% 293.42/42.88
% 293.42/42.88 [13300] BETA_OR : (left_convergent_lines(skolem_M7878, M38_320_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_320_8)))
% 293.42/42.88 -> [13302] left_convergent_lines(skolem_M7878, M38_320_8)
% 293.42/42.88 -> [13303] left_convergent_lines(skolem_M7878, reverse_line(M38_320_8))
% 293.42/42.88
% 293.42/42.88 [13303] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [13336] ~(left_apart_point(A39_619_9, L40_619_9) | left_apart_point(A39_619_9, reverse_line(L40_619_9)))
% 293.42/42.88
% 293.42/42.88 [13336] ALPHA_NOT_OR : ~(left_apart_point(A39_619_9, L40_619_9) | left_apart_point(A39_619_9, reverse_line(L40_619_9)))
% 293.42/42.88 -> [13338] ~left_apart_point(A39_619_9, L40_619_9), ~left_apart_point(A39_619_9, reverse_line(L40_619_9))
% 293.42/42.88
% 293.42/42.88 [13338] CLOSURE : ~left_apart_point(A39_619_9, L40_619_9)
% 293.42/42.88
% 293.42/42.88 [13302] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [13354] ~(left_apart_point(A39_622_9, L40_622_9) | left_apart_point(A39_622_9, reverse_line(L40_622_9)))
% 293.42/42.88
% 293.42/42.88 [13354] ALPHA_NOT_OR : ~(left_apart_point(A39_622_9, L40_622_9) | left_apart_point(A39_622_9, reverse_line(L40_622_9)))
% 293.42/42.88 -> [13357] ~left_apart_point(A39_622_9, L40_622_9), ~left_apart_point(A39_622_9, reverse_line(L40_622_9))
% 293.42/42.88
% 293.42/42.88 [13357] CLOSURE : ~left_apart_point(A39_622_9, L40_622_9)
% 293.42/42.88
% 293.42/42.88 [13299] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_320_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_320_8)))
% 293.42/42.88 -> [13315] ~unequally_directed_lines(skolem_M7878, M38_320_8)
% 293.42/42.88 -> [13316] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_320_8))
% 293.42/42.88
% 293.42/42.88 [13316] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_320_8))
% 293.42/42.88
% 293.42/42.88 [13315] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_320_8)
% 293.42/42.88
% 293.42/42.88 [11752] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_67_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_67_6)))
% 293.42/42.88 -> [11753] unequally_directed_lines(skolem_N7979, N34_67_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_67_6))
% 293.42/42.88
% 293.42/42.88 [11753] 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)))))
% 293.42/42.88 -> [12151] ((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)))))
% 293.42/42.88
% 293.42/42.88 [12151] 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)))))
% 293.42/42.88 -> [12152] ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.88 -> [12153] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 293.42/42.88
% 293.42/42.88 [12152] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.88 -> [12218] ~line(reverse_line(skolem_N7979))
% 293.42/42.88 -> [12219] ~line(reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [12219] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [12457] ((unequally_directed_lines(skolem_N7979, M38_276_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_276_8))) => (left_convergent_lines(skolem_N7979, M38_276_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_276_8))))
% 293.42/42.88
% 293.42/42.88 [12457] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_276_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_276_8))) => (left_convergent_lines(skolem_N7979, M38_276_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_276_8))))
% 293.42/42.88 -> [12461] ~(unequally_directed_lines(skolem_N7979, M38_276_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_276_8)))
% 293.42/42.88 -> [12462] (left_convergent_lines(skolem_N7979, M38_276_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_276_8)))
% 293.42/42.88
% 293.42/42.88 [12461] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_276_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_276_8)))
% 293.42/42.88 -> [12559] ~unequally_directed_lines(skolem_N7979, M38_276_8)
% 293.42/42.88 -> [12560] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_276_8))
% 293.42/42.88
% 293.42/42.88 [12560] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_276_8))
% 293.42/42.88
% 293.42/42.88 [12559] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_276_8)
% 293.42/42.88
% 293.42/42.88 [12462] BETA_OR : (left_convergent_lines(skolem_N7979, M38_276_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_276_8)))
% 293.42/42.88 -> [12467] left_convergent_lines(skolem_N7979, M38_276_8)
% 293.42/42.88 -> [12468] left_convergent_lines(skolem_N7979, reverse_line(M38_276_8))
% 293.42/42.88
% 293.42/42.88 [12468] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [12958] ~(left_apart_point(A39_574_9, L40_574_9) | left_apart_point(A39_574_9, reverse_line(L40_574_9)))
% 293.42/42.88
% 293.42/42.88 [12958] ALPHA_NOT_OR : ~(left_apart_point(A39_574_9, L40_574_9) | left_apart_point(A39_574_9, reverse_line(L40_574_9)))
% 293.42/42.88 -> [12959] ~left_apart_point(A39_574_9, L40_574_9), ~left_apart_point(A39_574_9, reverse_line(L40_574_9))
% 293.42/42.88
% 293.42/42.88 [12959] CLOSURE : ~left_apart_point(A39_574_9, L40_574_9)
% 293.42/42.88
% 293.42/42.88 [12467] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [13019] ~(left_apart_point(A39_584_9, L40_584_9) | left_apart_point(A39_584_9, reverse_line(L40_584_9)))
% 293.42/42.88
% 293.42/42.88 [13019] ALPHA_NOT_OR : ~(left_apart_point(A39_584_9, L40_584_9) | left_apart_point(A39_584_9, reverse_line(L40_584_9)))
% 293.42/42.88 -> [13020] ~left_apart_point(A39_584_9, L40_584_9), ~left_apart_point(A39_584_9, reverse_line(L40_584_9))
% 293.42/42.88
% 293.42/42.88 [13020] CLOSURE : ~left_apart_point(A39_584_9, L40_584_9)
% 293.42/42.88
% 293.42/42.88 [12218] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [12543] ((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))))
% 293.42/42.88
% 293.42/42.88 [12543] 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))))
% 293.42/42.88 -> [12544] ~(unequally_directed_lines(skolem_N7979, M38_281_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_281_8)))
% 293.42/42.88 -> [12545] (left_convergent_lines(skolem_N7979, M38_281_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_281_8)))
% 293.42/42.88
% 293.42/42.88 [12545] BETA_OR : (left_convergent_lines(skolem_N7979, M38_281_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_281_8)))
% 293.42/42.88 -> [12552] left_convergent_lines(skolem_N7979, M38_281_8)
% 293.42/42.88 -> [12553] left_convergent_lines(skolem_N7979, reverse_line(M38_281_8))
% 293.42/42.88
% 293.42/42.88 [12552] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [13001] ~(left_apart_point(A39_581_9, L40_581_9) | left_apart_point(A39_581_9, reverse_line(L40_581_9)))
% 293.42/42.88
% 293.42/42.88 [13001] ALPHA_NOT_OR : ~(left_apart_point(A39_581_9, L40_581_9) | left_apart_point(A39_581_9, reverse_line(L40_581_9)))
% 293.42/42.88 -> [13003] ~left_apart_point(A39_581_9, L40_581_9), ~left_apart_point(A39_581_9, reverse_line(L40_581_9))
% 293.42/42.88
% 293.42/42.88 [13003] CLOSURE : ~left_apart_point(A39_581_9, L40_581_9)
% 293.42/42.88
% 293.42/42.88 [12553] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [13009] ~(left_apart_point(A39_582_9, L40_582_9) | left_apart_point(A39_582_9, reverse_line(L40_582_9)))
% 293.42/42.88
% 293.42/42.88 [13009] ALPHA_NOT_OR : ~(left_apart_point(A39_582_9, L40_582_9) | left_apart_point(A39_582_9, reverse_line(L40_582_9)))
% 293.42/42.88 -> [13012] ~left_apart_point(A39_582_9, L40_582_9), ~left_apart_point(A39_582_9, reverse_line(L40_582_9))
% 293.42/42.88
% 293.42/42.88 [13012] CLOSURE : ~left_apart_point(A39_582_9, L40_582_9)
% 293.42/42.88
% 293.42/42.88 [12544] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_281_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_281_8)))
% 293.42/42.88 -> [12702] ~unequally_directed_lines(skolem_N7979, M38_281_8)
% 293.42/42.88 -> [12703] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_281_8))
% 293.42/42.88
% 293.42/42.88 [12703] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_281_8))
% 293.42/42.88
% 293.42/42.88 [12702] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_281_8)
% 293.42/42.88
% 293.42/42.88 [12153] 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))))
% 293.42/42.88 -> [12156] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.88 -> [12157] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 293.42/42.88
% 293.42/42.88 [12156] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [12157] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [13306] ((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))))
% 293.42/42.88
% 293.42/42.88 [13306] 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))))
% 293.42/42.88 -> [13307] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [13308] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88
% 293.42/42.88 [13308] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [13312] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88 -> [13313] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [13313] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [13345] ~(left_apart_point(A39_621_9, L40_621_9) | left_apart_point(A39_621_9, reverse_line(L40_621_9)))
% 293.42/42.88
% 293.42/42.88 [13345] ALPHA_NOT_OR : ~(left_apart_point(A39_621_9, L40_621_9) | left_apart_point(A39_621_9, reverse_line(L40_621_9)))
% 293.42/42.88 -> [13346] ~left_apart_point(A39_621_9, L40_621_9), ~left_apart_point(A39_621_9, reverse_line(L40_621_9))
% 293.42/42.88
% 293.42/42.88 [13346] CLOSURE : ~left_apart_point(A39_621_9, L40_621_9)
% 293.42/42.88
% 293.42/42.88 [13312] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [13371] ~(left_apart_point(A39_623_9, L40_623_9) | left_apart_point(A39_623_9, reverse_line(L40_623_9)))
% 293.42/42.88
% 293.42/42.88 [13371] ALPHA_NOT_OR : ~(left_apart_point(A39_623_9, L40_623_9) | left_apart_point(A39_623_9, reverse_line(L40_623_9)))
% 293.42/42.88 -> [13375] ~left_apart_point(A39_623_9, L40_623_9), ~left_apart_point(A39_623_9, reverse_line(L40_623_9))
% 293.42/42.88
% 293.42/42.88 [13375] CLOSURE : ~left_apart_point(A39_623_9, L40_623_9)
% 293.42/42.88
% 293.42/42.88 [13307] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [13317] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88 -> [13318] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [13318] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [13317] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88
% 293.42/42.88 [1238] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.88 -> [1269] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.88
% 293.42/42.88 [1269] 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))))
% 293.42/42.88 -> [1938] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.88
% 293.42/42.88 [1938] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.88 -> [1941] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.88 -> [1942] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.88
% 293.42/42.88 [1941] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.88
% 293.42/42.88 [1942] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.88 -> [2261] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.88 -> [2262] distinct_points(skolem_A8080, skolem_B8181)
% 293.42/42.88
% 293.42/42.88 [2261] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.88
% 293.42/42.88 [2262] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.88 -> [4497] ~distinct_lines(N27_118_3, N27_118_3)
% 293.42/42.88
% 293.42/42.88 [4497] 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))))
% 293.42/42.88 -> [4677] (distinct_lines(N27_118_3, N27_118_3) => (distinct_lines(N27_118_3, N27_118_3) | distinct_lines(N27_118_3, N27_118_3)))
% 293.42/42.88
% 293.42/42.88 [4677] 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)))
% 293.42/42.88 -> [4680] ~distinct_lines(N27_118_3, N27_118_3)
% 293.42/42.88 -> [4681] (distinct_lines(N27_118_3, N27_118_3) | distinct_lines(N27_118_3, N27_118_3))
% 293.42/42.88
% 293.42/42.88 [4681] BETA_OR : (distinct_lines(N27_118_3, N27_118_3) | distinct_lines(N27_118_3, N27_118_3))
% 293.42/42.88 -> [4687] distinct_lines(N27_118_3, N27_118_3)
% 293.42/42.88 -> [4688] distinct_lines(N27_118_3, N27_118_3)
% 293.42/42.88
% 293.42/42.88 [4687] CLOSURE : distinct_lines(N27_118_3, N27_118_3)
% 293.42/42.88
% 293.42/42.88 [4688] CLOSURE : distinct_lines(N27_118_3, N27_118_3)
% 293.42/42.88
% 293.42/42.88 [4680] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.88 -> [4894] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [4894] 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))))
% 293.42/42.88 -> [5119] (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)))
% 293.42/42.88
% 293.42/42.88 [5119] 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)))
% 293.42/42.88 -> [5120] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88 -> [5121] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [5120] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [5121] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.88 -> [10147] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.88 -> [10148] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [10147] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [10148] 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))))))
% 293.42/42.88 -> [11250] ((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)))))
% 293.42/42.88
% 293.42/42.88 [11250] 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)))))
% 293.42/42.88 -> [11254] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [11255] ((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))))
% 293.42/42.88
% 293.42/42.88 [11254] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [11305] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88 -> [11306] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [11306] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [11305] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88
% 293.42/42.88 [11255] 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))))
% 293.42/42.88 -> [14509] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [14510] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.88
% 293.42/42.88 [14509] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [14599] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [14599] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [14510] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [14517] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [14517] 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)))))
% 293.42/42.88 -> [15307] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.88
% 293.42/42.88 [15307] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.88 -> [15313] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.88 -> [15314] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.88
% 293.42/42.88 [15314] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [15321] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.88 -> [15322] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [15322] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [15330] ((unequally_directed_lines(skolem_N7979, M38_449_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_449_8))) => (left_convergent_lines(skolem_N7979, M38_449_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_449_8))))
% 293.42/42.88
% 293.42/42.88 [15330] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_449_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_449_8))) => (left_convergent_lines(skolem_N7979, M38_449_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_449_8))))
% 293.42/42.88 -> [15331] ~(unequally_directed_lines(skolem_N7979, M38_449_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_449_8)))
% 293.42/42.88 -> [15332] (left_convergent_lines(skolem_N7979, M38_449_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_449_8)))
% 293.42/42.88
% 293.42/42.88 [15332] BETA_OR : (left_convergent_lines(skolem_N7979, M38_449_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_449_8)))
% 293.42/42.88 -> [15333] left_convergent_lines(skolem_N7979, M38_449_8)
% 293.42/42.88 -> [15334] left_convergent_lines(skolem_N7979, reverse_line(M38_449_8))
% 293.42/42.88
% 293.42/42.88 [15334] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [15351] ~(left_apart_point(A39_868_9, L40_868_9) | left_apart_point(A39_868_9, reverse_line(L40_868_9)))
% 293.42/42.88
% 293.42/42.88 [15351] ALPHA_NOT_OR : ~(left_apart_point(A39_868_9, L40_868_9) | left_apart_point(A39_868_9, reverse_line(L40_868_9)))
% 293.42/42.88 -> [15354] ~left_apart_point(A39_868_9, L40_868_9), ~left_apart_point(A39_868_9, reverse_line(L40_868_9))
% 293.42/42.88
% 293.42/42.88 [15354] CLOSURE : ~left_apart_point(A39_868_9, L40_868_9)
% 293.42/42.88
% 293.42/42.88 [15333] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [15357] ~(left_apart_point(A39_869_9, L40_869_9) | left_apart_point(A39_869_9, reverse_line(L40_869_9)))
% 293.42/42.88
% 293.42/42.88 [15357] ALPHA_NOT_OR : ~(left_apart_point(A39_869_9, L40_869_9) | left_apart_point(A39_869_9, reverse_line(L40_869_9)))
% 293.42/42.88 -> [15362] ~left_apart_point(A39_869_9, L40_869_9), ~left_apart_point(A39_869_9, reverse_line(L40_869_9))
% 293.42/42.88
% 293.42/42.88 [15362] CLOSURE : ~left_apart_point(A39_869_9, L40_869_9)
% 293.42/42.88
% 293.42/42.88 [15331] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_449_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_449_8)))
% 293.42/42.88 -> [15337] ~unequally_directed_lines(skolem_N7979, M38_449_8)
% 293.42/42.88 -> [15338] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_449_8))
% 293.42/42.88
% 293.42/42.88 [15338] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_449_8))
% 293.42/42.88
% 293.42/42.88 [15337] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_449_8)
% 293.42/42.88
% 293.42/42.88 [15321] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [15313] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.88 -> [15385] ~line(skolem_M7878)
% 293.42/42.88 -> [15386] ~line(skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [15386] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [15899] ((unequally_directed_lines(skolem_N7979, M38_479_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_479_8))) => (left_convergent_lines(skolem_N7979, M38_479_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_479_8))))
% 293.42/42.88
% 293.42/42.88 [15899] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_479_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_479_8))) => (left_convergent_lines(skolem_N7979, M38_479_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_479_8))))
% 293.42/42.88 -> [15904] ~(unequally_directed_lines(skolem_N7979, M38_479_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_479_8)))
% 293.42/42.88 -> [15905] (left_convergent_lines(skolem_N7979, M38_479_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_479_8)))
% 293.42/42.88
% 293.42/42.88 [15904] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_479_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_479_8)))
% 293.42/42.88 -> [16072] ~unequally_directed_lines(skolem_N7979, M38_479_8)
% 293.42/42.88 -> [16073] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_479_8))
% 293.42/42.88
% 293.42/42.88 [16073] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_479_8))
% 293.42/42.88
% 293.42/42.88 [16072] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_479_8)
% 293.42/42.88
% 293.42/42.88 [15905] BETA_OR : (left_convergent_lines(skolem_N7979, M38_479_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_479_8)))
% 293.42/42.88 -> [15907] left_convergent_lines(skolem_N7979, M38_479_8)
% 293.42/42.88 -> [15908] left_convergent_lines(skolem_N7979, reverse_line(M38_479_8))
% 293.42/42.88
% 293.42/42.88 [15908] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [16436] ~(left_apart_point(A39_970_9, L40_970_9) | left_apart_point(A39_970_9, reverse_line(L40_970_9)))
% 293.42/42.88
% 293.42/42.88 [16436] ALPHA_NOT_OR : ~(left_apart_point(A39_970_9, L40_970_9) | left_apart_point(A39_970_9, reverse_line(L40_970_9)))
% 293.42/42.88 -> [16439] ~left_apart_point(A39_970_9, L40_970_9), ~left_apart_point(A39_970_9, reverse_line(L40_970_9))
% 293.42/42.88
% 293.42/42.88 [16439] CLOSURE : ~left_apart_point(A39_970_9, L40_970_9)
% 293.42/42.88
% 293.42/42.88 [15907] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [16747] ~(left_apart_point(A39_1006_9, L40_1006_9) | left_apart_point(A39_1006_9, reverse_line(L40_1006_9)))
% 293.42/42.88
% 293.42/42.88 [16747] ALPHA_NOT_OR : ~(left_apart_point(A39_1006_9, L40_1006_9) | left_apart_point(A39_1006_9, reverse_line(L40_1006_9)))
% 293.42/42.88 -> [16749] ~left_apart_point(A39_1006_9, L40_1006_9), ~left_apart_point(A39_1006_9, reverse_line(L40_1006_9))
% 293.42/42.88
% 293.42/42.88 [16749] CLOSURE : ~left_apart_point(A39_1006_9, L40_1006_9)
% 293.42/42.88
% 293.42/42.88 [15385] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [16057] ((unequally_directed_lines(skolem_N7979, M38_488_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_488_8))) => (left_convergent_lines(skolem_N7979, M38_488_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_488_8))))
% 293.42/42.88
% 293.42/42.88 [16057] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_488_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_488_8))) => (left_convergent_lines(skolem_N7979, M38_488_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_488_8))))
% 293.42/42.88 -> [16058] ~(unequally_directed_lines(skolem_N7979, M38_488_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_488_8)))
% 293.42/42.88 -> [16059] (left_convergent_lines(skolem_N7979, M38_488_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_488_8)))
% 293.42/42.88
% 293.42/42.88 [16058] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_488_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_488_8)))
% 293.42/42.88 -> [16198] ~unequally_directed_lines(skolem_N7979, M38_488_8)
% 293.42/42.88 -> [16199] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_488_8))
% 293.42/42.88
% 293.42/42.88 [16199] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_488_8))
% 293.42/42.88
% 293.42/42.88 [16198] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_488_8)
% 293.42/42.88
% 293.42/42.88 [16059] BETA_OR : (left_convergent_lines(skolem_N7979, M38_488_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_488_8)))
% 293.42/42.88 -> [16063] left_convergent_lines(skolem_N7979, M38_488_8)
% 293.42/42.88 -> [16064] left_convergent_lines(skolem_N7979, reverse_line(M38_488_8))
% 293.42/42.88
% 293.42/42.88 [16064] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [16578] ~(left_apart_point(A39_985_9, L40_985_9) | left_apart_point(A39_985_9, reverse_line(L40_985_9)))
% 293.42/42.88
% 293.42/42.88 [16578] ALPHA_NOT_OR : ~(left_apart_point(A39_985_9, L40_985_9) | left_apart_point(A39_985_9, reverse_line(L40_985_9)))
% 293.42/42.88 -> [16580] ~left_apart_point(A39_985_9, L40_985_9), ~left_apart_point(A39_985_9, reverse_line(L40_985_9))
% 293.42/42.88
% 293.42/42.88 [16580] CLOSURE : ~left_apart_point(A39_985_9, L40_985_9)
% 293.42/42.88
% 293.42/42.88 [16063] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [16959] ~(left_apart_point(A39_1023_9, L40_1023_9) | left_apart_point(A39_1023_9, reverse_line(L40_1023_9)))
% 293.42/42.88
% 293.42/42.88 [16959] ALPHA_NOT_OR : ~(left_apart_point(A39_1023_9, L40_1023_9) | left_apart_point(A39_1023_9, reverse_line(L40_1023_9)))
% 293.42/42.88 -> [16962] ~left_apart_point(A39_1023_9, L40_1023_9), ~left_apart_point(A39_1023_9, reverse_line(L40_1023_9))
% 293.42/42.88
% 293.42/42.88 [16962] CLOSURE : ~left_apart_point(A39_1023_9, L40_1023_9)
% 293.42/42.88
% 293.42/42.88 [848] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.88 -> [852] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.88
% 293.42/42.88 [852] 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)))
% 293.42/42.88 -> [856] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 293.42/42.88 -> [857] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [856] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.88 -> [1184] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.42/42.88 -> [1185] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [1184] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.88 -> [1615] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.88
% 293.42/42.88 [1615] 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))))
% 293.42/42.88 -> [1789] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.88
% 293.42/42.88 [1789] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.88 -> [1791] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.88 -> [1792] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.88
% 293.42/42.88 [1791] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.88
% 293.42/42.88 [1792] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.88 -> [3504] distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.88 -> [3505] distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.88
% 293.42/42.88 [3505] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.88
% 293.42/42.88 [3504] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.88 -> [3510] ~distinct_lines(N27_60_3, N27_60_3)
% 293.42/42.88
% 293.42/42.88 [3510] 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))))
% 293.42/42.88 -> [3511] (distinct_lines(N27_60_3, N27_60_3) => (distinct_lines(N27_60_3, N27_60_3) | distinct_lines(N27_60_3, N27_60_3)))
% 293.42/42.88
% 293.42/42.88 [3511] 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)))
% 293.42/42.88 -> [3513] ~distinct_lines(N27_60_3, N27_60_3)
% 293.42/42.88 -> [3514] (distinct_lines(N27_60_3, N27_60_3) | distinct_lines(N27_60_3, N27_60_3))
% 293.42/42.88
% 293.42/42.88 [3514] BETA_OR : (distinct_lines(N27_60_3, N27_60_3) | distinct_lines(N27_60_3, N27_60_3))
% 293.42/42.88 -> [3515] distinct_lines(N27_60_3, N27_60_3)
% 293.42/42.88 -> [3516] distinct_lines(N27_60_3, N27_60_3)
% 293.42/42.88
% 293.42/42.88 [3516] CLOSURE : distinct_lines(N27_60_3, N27_60_3)
% 293.42/42.88
% 293.42/42.88 [3515] CLOSURE : distinct_lines(N27_60_3, N27_60_3)
% 293.42/42.88
% 293.42/42.88 [3513] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.88 -> [3532] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [3532] 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))))
% 293.42/42.88 -> [3555] (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)))
% 293.42/42.88
% 293.42/42.88 [3555] 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)))
% 293.42/42.88 -> [3556] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88 -> [3557] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [3556] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [3557] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.88 -> [4919] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.88 -> [4920] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [4919] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [4920] 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))))))
% 293.42/42.88 -> [6955] ((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)))))
% 293.42/42.88
% 293.42/42.88 [6955] 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)))))
% 293.42/42.88 -> [6956] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [6957] ((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))))
% 293.42/42.88
% 293.42/42.88 [6956] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [6963] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88 -> [6964] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [6964] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [6963] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88
% 293.42/42.88 [6957] 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))))
% 293.42/42.88 -> [8127] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [8128] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.88
% 293.42/42.88 [8127] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [8142] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [8142] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [8128] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [8129] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [8129] 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)))))
% 293.42/42.88 -> [8270] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.88
% 293.42/42.88 [8270] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.88 -> [8272] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.88 -> [8273] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.88
% 293.42/42.88 [8273] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [8282] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.88 -> [8283] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [8282] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [8283] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [8472] ((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))))
% 293.42/42.88
% 293.42/42.88 [8472] 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))))
% 293.42/42.88 -> [8475] ~(unequally_directed_lines(skolem_N7979, M38_91_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_91_8)))
% 293.42/42.88 -> [8476] (left_convergent_lines(skolem_N7979, M38_91_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_91_8)))
% 293.42/42.88
% 293.42/42.88 [8475] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_91_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_91_8)))
% 293.42/42.88 -> [8831] ~unequally_directed_lines(skolem_N7979, M38_91_8)
% 293.42/42.88 -> [8832] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_91_8))
% 293.42/42.88
% 293.42/42.88 [8831] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_91_8)
% 293.42/42.88
% 293.42/42.88 [8832] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_91_8))
% 293.42/42.88
% 293.42/42.88 [8476] BETA_OR : (left_convergent_lines(skolem_N7979, M38_91_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_91_8)))
% 293.42/42.88 -> [8480] left_convergent_lines(skolem_N7979, M38_91_8)
% 293.42/42.88 -> [8481] left_convergent_lines(skolem_N7979, reverse_line(M38_91_8))
% 293.42/42.88
% 293.42/42.88 [8481] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [8863] ~(left_apart_point(A39_186_9, L40_186_9) | left_apart_point(A39_186_9, reverse_line(L40_186_9)))
% 293.42/42.88
% 293.42/42.88 [8863] ALPHA_NOT_OR : ~(left_apart_point(A39_186_9, L40_186_9) | left_apart_point(A39_186_9, reverse_line(L40_186_9)))
% 293.42/42.88 -> [8864] ~left_apart_point(A39_186_9, L40_186_9), ~left_apart_point(A39_186_9, reverse_line(L40_186_9))
% 293.42/42.88
% 293.42/42.88 [8864] CLOSURE : ~left_apart_point(A39_186_9, L40_186_9)
% 293.42/42.88
% 293.42/42.88 [8480] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [9018] ~(left_apart_point(A39_199_9, L40_199_9) | left_apart_point(A39_199_9, reverse_line(L40_199_9)))
% 293.42/42.88
% 293.42/42.88 [9018] ALPHA_NOT_OR : ~(left_apart_point(A39_199_9, L40_199_9) | left_apart_point(A39_199_9, reverse_line(L40_199_9)))
% 293.42/42.88 -> [9019] ~left_apart_point(A39_199_9, L40_199_9), ~left_apart_point(A39_199_9, reverse_line(L40_199_9))
% 293.42/42.88
% 293.42/42.88 [9019] CLOSURE : ~left_apart_point(A39_199_9, L40_199_9)
% 293.42/42.88
% 293.42/42.88 [8272] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.88 -> [8311] ~line(skolem_M7878)
% 293.42/42.88 -> [8312] ~line(skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [8311] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [8806] ((unequally_directed_lines(skolem_N7979, M38_104_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_104_8))) => (left_convergent_lines(skolem_N7979, M38_104_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_104_8))))
% 293.42/42.88
% 293.42/42.88 [8806] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_104_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_104_8))) => (left_convergent_lines(skolem_N7979, M38_104_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_104_8))))
% 293.42/42.88 -> [8807] ~(unequally_directed_lines(skolem_N7979, M38_104_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_104_8)))
% 293.42/42.88 -> [8808] (left_convergent_lines(skolem_N7979, M38_104_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_104_8)))
% 293.42/42.88
% 293.42/42.88 [8807] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_104_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_104_8)))
% 293.42/42.88 -> [8825] ~unequally_directed_lines(skolem_N7979, M38_104_8)
% 293.42/42.88 -> [8826] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_104_8))
% 293.42/42.88
% 293.42/42.88 [8826] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_104_8))
% 293.42/42.88
% 293.42/42.88 [8825] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_104_8)
% 293.42/42.88
% 293.42/42.88 [8808] BETA_OR : (left_convergent_lines(skolem_N7979, M38_104_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_104_8)))
% 293.42/42.88 -> [8812] left_convergent_lines(skolem_N7979, M38_104_8)
% 293.42/42.88 -> [8813] left_convergent_lines(skolem_N7979, reverse_line(M38_104_8))
% 293.42/42.88
% 293.42/42.88 [8812] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [8854] ~(left_apart_point(A39_183_9, L40_183_9) | left_apart_point(A39_183_9, reverse_line(L40_183_9)))
% 293.42/42.88
% 293.42/42.88 [8854] ALPHA_NOT_OR : ~(left_apart_point(A39_183_9, L40_183_9) | left_apart_point(A39_183_9, reverse_line(L40_183_9)))
% 293.42/42.88 -> [8856] ~left_apart_point(A39_183_9, L40_183_9), ~left_apart_point(A39_183_9, reverse_line(L40_183_9))
% 293.42/42.88
% 293.42/42.88 [8856] CLOSURE : ~left_apart_point(A39_183_9, L40_183_9)
% 293.42/42.88
% 293.42/42.88 [8813] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [8858] ~(left_apart_point(A39_185_9, L40_185_9) | left_apart_point(A39_185_9, reverse_line(L40_185_9)))
% 293.42/42.88
% 293.42/42.88 [8858] ALPHA_NOT_OR : ~(left_apart_point(A39_185_9, L40_185_9) | left_apart_point(A39_185_9, reverse_line(L40_185_9)))
% 293.42/42.88 -> [8859] ~left_apart_point(A39_185_9, L40_185_9), ~left_apart_point(A39_185_9, reverse_line(L40_185_9))
% 293.42/42.88
% 293.42/42.88 [8859] CLOSURE : ~left_apart_point(A39_185_9, L40_185_9)
% 293.42/42.88
% 293.42/42.88 [8312] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [8814] ((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))))
% 293.42/42.88
% 293.42/42.88 [8814] 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))))
% 293.42/42.88 -> [8815] ~(unequally_directed_lines(skolem_N7979, M38_105_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_105_8)))
% 293.42/42.88 -> [8816] (left_convergent_lines(skolem_N7979, M38_105_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_105_8)))
% 293.42/42.88
% 293.42/42.88 [8815] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_105_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_105_8)))
% 293.42/42.88 -> [8850] ~unequally_directed_lines(skolem_N7979, M38_105_8)
% 293.42/42.88 -> [8851] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_105_8))
% 293.42/42.88
% 293.42/42.88 [8851] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_105_8))
% 293.42/42.88
% 293.42/42.88 [8850] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_105_8)
% 293.42/42.88
% 293.42/42.88 [8816] BETA_OR : (left_convergent_lines(skolem_N7979, M38_105_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_105_8)))
% 293.42/42.88 -> [8820] left_convergent_lines(skolem_N7979, M38_105_8)
% 293.42/42.88 -> [8821] left_convergent_lines(skolem_N7979, reverse_line(M38_105_8))
% 293.42/42.88
% 293.42/42.88 [8821] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [8996] ~(left_apart_point(A39_193_9, L40_193_9) | left_apart_point(A39_193_9, reverse_line(L40_193_9)))
% 293.42/42.88
% 293.42/42.88 [8996] ALPHA_NOT_OR : ~(left_apart_point(A39_193_9, L40_193_9) | left_apart_point(A39_193_9, reverse_line(L40_193_9)))
% 293.42/42.88 -> [8998] ~left_apart_point(A39_193_9, L40_193_9), ~left_apart_point(A39_193_9, reverse_line(L40_193_9))
% 293.42/42.88
% 293.42/42.88 [8998] CLOSURE : ~left_apart_point(A39_193_9, L40_193_9)
% 293.42/42.88
% 293.42/42.88 [8820] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [9030] ~(left_apart_point(A39_201_9, L40_201_9) | left_apart_point(A39_201_9, reverse_line(L40_201_9)))
% 293.42/42.88
% 293.42/42.88 [9030] ALPHA_NOT_OR : ~(left_apart_point(A39_201_9, L40_201_9) | left_apart_point(A39_201_9, reverse_line(L40_201_9)))
% 293.42/42.88 -> [9031] ~left_apart_point(A39_201_9, L40_201_9), ~left_apart_point(A39_201_9, reverse_line(L40_201_9))
% 293.42/42.88
% 293.42/42.88 [9031] CLOSURE : ~left_apart_point(A39_201_9, L40_201_9)
% 293.42/42.88
% 293.42/42.88 [1185] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.88 -> [1544] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.88
% 293.42/42.88 [1544] 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))))
% 293.42/42.88 -> [3202] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.88
% 293.42/42.88 [3202] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.88 -> [3203] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.88 -> [3204] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.88
% 293.42/42.88 [3203] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.88
% 293.42/42.88 [3204] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.88 -> [3618] distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.88 -> [3619] distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.88
% 293.42/42.88 [3619] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.88
% 293.42/42.88 [3618] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.88 -> [4897] ~distinct_lines(N27_131_3, N27_131_3)
% 293.42/42.88
% 293.42/42.88 [4897] 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))))
% 293.42/42.88 -> [4970] (distinct_lines(N27_131_3, N27_131_3) => (distinct_lines(N27_131_3, N27_131_3) | distinct_lines(N27_131_3, N27_131_3)))
% 293.42/42.88
% 293.42/42.88 [4970] BETA_IMPLY : (distinct_lines(N27_131_3, N27_131_3) => (distinct_lines(N27_131_3, N27_131_3) | distinct_lines(N27_131_3, N27_131_3)))
% 293.42/42.88 -> [4972] ~distinct_lines(N27_131_3, N27_131_3)
% 293.42/42.88 -> [4973] (distinct_lines(N27_131_3, N27_131_3) | distinct_lines(N27_131_3, N27_131_3))
% 293.42/42.88
% 293.42/42.88 [4973] BETA_OR : (distinct_lines(N27_131_3, N27_131_3) | distinct_lines(N27_131_3, N27_131_3))
% 293.42/42.88 -> [4974] distinct_lines(N27_131_3, N27_131_3)
% 293.42/42.88 -> [4975] distinct_lines(N27_131_3, N27_131_3)
% 293.42/42.88
% 293.42/42.88 [4974] CLOSURE : distinct_lines(N27_131_3, N27_131_3)
% 293.42/42.88
% 293.42/42.88 [4975] CLOSURE : distinct_lines(N27_131_3, N27_131_3)
% 293.42/42.88
% 293.42/42.88 [4972] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.88 -> [5133] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [5133] 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))))
% 293.42/42.88 -> [5267] (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))))
% 293.42/42.88
% 293.42/42.88 [5267] 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))))
% 293.42/42.88 -> [5268] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88 -> [5269] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.88
% 293.42/42.88 [5268] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [5269] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.88 -> [9554] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88 -> [9555] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [9555] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [9554] 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))))))
% 293.42/42.88 -> [10641] ((unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) & unequally_directed_lines(reverse_line(skolem_N7979), reverse_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)))) | (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) & unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))))
% 293.42/42.88
% 293.42/42.88 [10641] BETA_IMPLY : ((unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) & unequally_directed_lines(reverse_line(skolem_N7979), reverse_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)))) | (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) & unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))))
% 293.42/42.88 -> [10642] ~(unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) & unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 293.42/42.88 -> [10643] ((unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) & unequally_directed_lines(reverse_line(skolem_N7979), reverse_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)))))
% 293.42/42.88
% 293.42/42.88 [10643] 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)))) | (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) & unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))))
% 293.42/42.88 -> [10646] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) & unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 293.42/42.88 -> [10647] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) & unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 293.42/42.88
% 293.42/42.88 [10646] ALPHA_AND : (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) & unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 293.42/42.88 -> [10670] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)), unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 293.42/42.88
% 293.42/42.88 [10670] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 293.42/42.88
% 293.42/42.88 [10648] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [10642] BETA_NOT_AND : ~(unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) & unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 293.42/42.88 -> [16807] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.88 -> [16808] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 293.42/42.88
% 293.42/42.88 [16807] 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)))))
% 293.42/42.88 -> [17341] ((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)))))
% 293.42/42.88
% 293.42/42.88 [17341] 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)))))
% 293.42/42.88 -> [17345] ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.88 -> [17346] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 293.42/42.88
% 293.42/42.88 [17345] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.88 -> [17449] ~line(reverse_line(skolem_N7979))
% 293.42/42.88 -> [17450] ~line(reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [17449] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [18514] ((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))))
% 293.42/42.88
% 293.42/42.88 [18514] 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))))
% 293.42/42.88 -> [18515] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [18516] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88
% 293.42/42.88 [18515] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [18525] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88 -> [18526] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [18526] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [18525] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88
% 293.42/42.88 [18516] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [18517] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88 -> [18518] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [18518] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [18569] ~(left_apart_point(A39_1238_9, L40_1238_9) | left_apart_point(A39_1238_9, reverse_line(L40_1238_9)))
% 293.42/42.88
% 293.42/42.88 [18569] ALPHA_NOT_OR : ~(left_apart_point(A39_1238_9, L40_1238_9) | left_apart_point(A39_1238_9, reverse_line(L40_1238_9)))
% 293.42/42.88 -> [18576] ~left_apart_point(A39_1238_9, L40_1238_9), ~left_apart_point(A39_1238_9, reverse_line(L40_1238_9))
% 293.42/42.88
% 293.42/42.88 [18576] CLOSURE : ~left_apart_point(A39_1238_9, L40_1238_9)
% 293.42/42.88
% 293.42/42.88 [18517] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [18596] ~(left_apart_point(A39_1239_9, L40_1239_9) | left_apart_point(A39_1239_9, reverse_line(L40_1239_9)))
% 293.42/42.88
% 293.42/42.88 [18596] ALPHA_NOT_OR : ~(left_apart_point(A39_1239_9, L40_1239_9) | left_apart_point(A39_1239_9, reverse_line(L40_1239_9)))
% 293.42/42.88 -> [18597] ~left_apart_point(A39_1239_9, L40_1239_9), ~left_apart_point(A39_1239_9, reverse_line(L40_1239_9))
% 293.42/42.88
% 293.42/42.88 [18597] CLOSURE : ~left_apart_point(A39_1239_9, L40_1239_9)
% 293.42/42.88
% 293.42/42.88 [17450] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [18642] ((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))))
% 293.42/42.88
% 293.42/42.88 [18642] 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))))
% 293.42/42.88 -> [18644] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [18645] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88
% 293.42/42.88 [18644] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [18677] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88 -> [18678] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [18678] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [18677] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88
% 293.42/42.88 [18645] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [18648] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88 -> [18649] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [18649] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [18731] ~(left_apart_point(A39_1253_9, L40_1253_9) | left_apart_point(A39_1253_9, reverse_line(L40_1253_9)))
% 293.42/42.88
% 293.42/42.88 [18731] ALPHA_NOT_OR : ~(left_apart_point(A39_1253_9, L40_1253_9) | left_apart_point(A39_1253_9, reverse_line(L40_1253_9)))
% 293.42/42.88 -> [18734] ~left_apart_point(A39_1253_9, L40_1253_9), ~left_apart_point(A39_1253_9, reverse_line(L40_1253_9))
% 293.42/42.88
% 293.42/42.88 [18734] CLOSURE : ~left_apart_point(A39_1253_9, L40_1253_9)
% 293.42/42.88
% 293.42/42.88 [18648] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [18752] ~(left_apart_point(A39_1255_9, L40_1255_9) | left_apart_point(A39_1255_9, reverse_line(L40_1255_9)))
% 293.42/42.88
% 293.42/42.88 [18752] ALPHA_NOT_OR : ~(left_apart_point(A39_1255_9, L40_1255_9) | left_apart_point(A39_1255_9, reverse_line(L40_1255_9)))
% 293.42/42.88 -> [18755] ~left_apart_point(A39_1255_9, L40_1255_9), ~left_apart_point(A39_1255_9, reverse_line(L40_1255_9))
% 293.42/42.88
% 293.42/42.88 [18755] CLOSURE : ~left_apart_point(A39_1255_9, L40_1255_9)
% 293.42/42.88
% 293.42/42.88 [17346] 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))))
% 293.42/42.88 -> [17347] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.88 -> [17348] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 293.42/42.88
% 293.42/42.88 [17347] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [17348] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [20488] ((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))))
% 293.42/42.88
% 293.42/42.88 [20488] 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))))
% 293.42/42.88 -> [20491] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [20492] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88
% 293.42/42.88 [20491] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [22481] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88 -> [22482] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [22482] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [22481] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88
% 293.42/42.88 [20492] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [22407] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88 -> [22408] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [22408] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [22463] ~(left_apart_point(A39_1747_9, L40_1747_9) | left_apart_point(A39_1747_9, reverse_line(L40_1747_9)))
% 293.42/42.88
% 293.42/42.88 [22463] ALPHA_NOT_OR : ~(left_apart_point(A39_1747_9, L40_1747_9) | left_apart_point(A39_1747_9, reverse_line(L40_1747_9)))
% 293.42/42.88 -> [22464] ~left_apart_point(A39_1747_9, L40_1747_9), ~left_apart_point(A39_1747_9, reverse_line(L40_1747_9))
% 293.42/42.88
% 293.42/42.88 [22464] CLOSURE : ~left_apart_point(A39_1747_9, L40_1747_9)
% 293.42/42.88
% 293.42/42.88 [22407] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [22491] ~(left_apart_point(A39_1752_9, L40_1752_9) | left_apart_point(A39_1752_9, reverse_line(L40_1752_9)))
% 293.42/42.88
% 293.42/42.88 [22491] ALPHA_NOT_OR : ~(left_apart_point(A39_1752_9, L40_1752_9) | left_apart_point(A39_1752_9, reverse_line(L40_1752_9)))
% 293.42/42.88 -> [22496] ~left_apart_point(A39_1752_9, L40_1752_9), ~left_apart_point(A39_1752_9, reverse_line(L40_1752_9))
% 293.42/42.88
% 293.42/42.88 [22496] CLOSURE : ~left_apart_point(A39_1752_9, L40_1752_9)
% 293.42/42.88
% 293.42/42.88 [16808] 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)))))
% 293.42/42.88 -> [17599] ((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)))))
% 293.42/42.88
% 293.42/42.88 [17599] 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)))))
% 293.42/42.88 -> [17602] ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.88 -> [17603] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 293.42/42.88
% 293.42/42.88 [17603] 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))))
% 293.42/42.88 -> [17608] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.88 -> [17609] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 293.42/42.88
% 293.42/42.88 [17608] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [17609] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 293.42/42.88
% 293.42/42.88 [17602] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.88 -> [17696] ~line(reverse_line(skolem_N7979))
% 293.42/42.88 -> [17697] ~line(reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [17696] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [21491] ((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))))
% 293.42/42.88
% 293.42/42.88 [21491] 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))))
% 293.42/42.88 -> [21492] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [21493] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88
% 293.42/42.88 [21492] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [21520] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88 -> [21521] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [21521] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [21520] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88
% 293.42/42.88 [21493] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [21496] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88 -> [21497] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [21497] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [21612] ~(left_apart_point(A39_1609_9, L40_1609_9) | left_apart_point(A39_1609_9, reverse_line(L40_1609_9)))
% 293.42/42.88
% 293.42/42.88 [21612] ALPHA_NOT_OR : ~(left_apart_point(A39_1609_9, L40_1609_9) | left_apart_point(A39_1609_9, reverse_line(L40_1609_9)))
% 293.42/42.88 -> [21613] ~left_apart_point(A39_1609_9, L40_1609_9), ~left_apart_point(A39_1609_9, reverse_line(L40_1609_9))
% 293.42/42.88
% 293.42/42.88 [21613] CLOSURE : ~left_apart_point(A39_1609_9, L40_1609_9)
% 293.42/42.88
% 293.42/42.88 [21496] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [21665] ~(left_apart_point(A39_1617_9, L40_1617_9) | left_apart_point(A39_1617_9, reverse_line(L40_1617_9)))
% 293.42/42.88
% 293.42/42.88 [21665] ALPHA_NOT_OR : ~(left_apart_point(A39_1617_9, L40_1617_9) | left_apart_point(A39_1617_9, reverse_line(L40_1617_9)))
% 293.42/42.88 -> [21666] ~left_apart_point(A39_1617_9, L40_1617_9), ~left_apart_point(A39_1617_9, reverse_line(L40_1617_9))
% 293.42/42.88
% 293.42/42.88 [21666] CLOSURE : ~left_apart_point(A39_1617_9, L40_1617_9)
% 293.42/42.88
% 293.42/42.88 [17697] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [21228] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.88
% 293.42/42.88 [21228] 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))))
% 293.42/42.88 -> [21231] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [21232] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88
% 293.42/42.88 [21231] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [21332] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88 -> [21333] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [21333] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [21332] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [21232] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [21233] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88 -> [21234] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [21233] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [22974] ~(left_apart_point(A39_1805_9, L40_1805_9) | left_apart_point(A39_1805_9, reverse_line(L40_1805_9)))
% 293.42/42.88
% 293.42/42.88 [22974] ALPHA_NOT_OR : ~(left_apart_point(A39_1805_9, L40_1805_9) | left_apart_point(A39_1805_9, reverse_line(L40_1805_9)))
% 293.42/42.88 -> [22979] ~left_apart_point(A39_1805_9, L40_1805_9), ~left_apart_point(A39_1805_9, reverse_line(L40_1805_9))
% 293.42/42.88
% 293.42/42.88 [22979] CLOSURE : ~left_apart_point(A39_1805_9, L40_1805_9)
% 293.42/42.88
% 293.42/42.88 [21234] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [21732] ~(left_apart_point(A39_1632_9, L40_1632_9) | left_apart_point(A39_1632_9, reverse_line(L40_1632_9)))
% 293.42/42.88
% 293.42/42.88 [21732] ALPHA_NOT_OR : ~(left_apart_point(A39_1632_9, L40_1632_9) | left_apart_point(A39_1632_9, reverse_line(L40_1632_9)))
% 293.42/42.88 -> [21733] ~left_apart_point(A39_1632_9, L40_1632_9), ~left_apart_point(A39_1632_9, reverse_line(L40_1632_9))
% 293.42/42.88
% 293.42/42.88 [21733] CLOSURE : ~left_apart_point(A39_1632_9, L40_1632_9)
% 293.42/42.88
% 293.42/42.88 [857] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.88 -> [1188] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.42/42.88 -> [1189] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [1189] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.88 -> [1668] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.88
% 293.42/42.88 [1668] 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))))
% 293.42/42.88 -> [3023] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.88
% 293.42/42.88 [3023] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.88 -> [3024] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.88 -> [3025] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.88
% 293.42/42.88 [3024] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.88
% 293.42/42.88 [3025] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.88 -> [3589] distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.88 -> [3590] distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.88
% 293.42/42.88 [3590] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.88
% 293.42/42.88 [3589] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.88 -> [3659] ~distinct_lines(N27_81_3, N27_81_3)
% 293.42/42.88
% 293.42/42.88 [3659] 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))))
% 293.42/42.88 -> [3916] (distinct_lines(N27_81_3, N27_81_3) => (distinct_lines(N27_81_3, N27_81_3) | distinct_lines(N27_81_3, N27_81_3)))
% 293.42/42.88
% 293.42/42.88 [3916] 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)))
% 293.42/42.88 -> [3917] ~distinct_lines(N27_81_3, N27_81_3)
% 293.42/42.88 -> [3918] (distinct_lines(N27_81_3, N27_81_3) | distinct_lines(N27_81_3, N27_81_3))
% 293.42/42.88
% 293.42/42.88 [3918] BETA_OR : (distinct_lines(N27_81_3, N27_81_3) | distinct_lines(N27_81_3, N27_81_3))
% 293.42/42.88 -> [3920] distinct_lines(N27_81_3, N27_81_3)
% 293.42/42.88 -> [3921] distinct_lines(N27_81_3, N27_81_3)
% 293.42/42.88
% 293.42/42.88 [3920] CLOSURE : distinct_lines(N27_81_3, N27_81_3)
% 293.42/42.88
% 293.42/42.88 [3921] CLOSURE : distinct_lines(N27_81_3, N27_81_3)
% 293.42/42.88
% 293.42/42.88 [3917] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.88 -> [3960] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [3960] 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))))
% 293.42/42.88 -> [4110] (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)))
% 293.42/42.88
% 293.42/42.88 [4110] 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)))
% 293.42/42.88 -> [4111] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88 -> [4112] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [4111] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [4112] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.88 -> [6436] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.88 -> [6437] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [6436] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [6437] 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))))))
% 293.42/42.88 -> [7447] ((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)))))
% 293.42/42.88
% 293.42/42.88 [7447] 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)))))
% 293.42/42.88 -> [7448] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [7449] ((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))))
% 293.42/42.88
% 293.42/42.88 [7448] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [7492] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88 -> [7493] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [7493] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [7492] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88
% 293.42/42.88 [7449] 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))))
% 293.42/42.88 -> [12253] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [12254] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.88
% 293.42/42.88 [12253] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [12287] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [12287] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [12254] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [12259] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [12259] 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)))))
% 293.42/42.88 -> [12609] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.88
% 293.42/42.88 [12609] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.88 -> [12613] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.88 -> [12614] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.88
% 293.42/42.88 [12613] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.88 -> [12714] ~line(skolem_M7878)
% 293.42/42.88 -> [12715] ~line(skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [12715] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [14272] ((unequally_directed_lines(skolem_N7979, M38_382_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_382_8))) => (left_convergent_lines(skolem_N7979, M38_382_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_382_8))))
% 293.42/42.88
% 293.42/42.88 [14272] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_382_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_382_8))) => (left_convergent_lines(skolem_N7979, M38_382_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_382_8))))
% 293.42/42.88 -> [14273] ~(unequally_directed_lines(skolem_N7979, M38_382_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_382_8)))
% 293.42/42.88 -> [14274] (left_convergent_lines(skolem_N7979, M38_382_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_382_8)))
% 293.42/42.88
% 293.42/42.88 [14273] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_382_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_382_8)))
% 293.42/42.88 -> [14318] ~unequally_directed_lines(skolem_N7979, M38_382_8)
% 293.42/42.88 -> [14319] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_382_8))
% 293.42/42.88
% 293.42/42.88 [14319] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_382_8))
% 293.42/42.88
% 293.42/42.88 [14318] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_382_8)
% 293.42/42.88
% 293.42/42.88 [14274] BETA_OR : (left_convergent_lines(skolem_N7979, M38_382_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_382_8)))
% 293.42/42.88 -> [14279] left_convergent_lines(skolem_N7979, M38_382_8)
% 293.42/42.88 -> [14280] left_convergent_lines(skolem_N7979, reverse_line(M38_382_8))
% 293.42/42.88
% 293.42/42.88 [14280] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [14385] ~(left_apart_point(A39_743_9, L40_743_9) | left_apart_point(A39_743_9, reverse_line(L40_743_9)))
% 293.42/42.88
% 293.42/42.88 [14385] ALPHA_NOT_OR : ~(left_apart_point(A39_743_9, L40_743_9) | left_apart_point(A39_743_9, reverse_line(L40_743_9)))
% 293.42/42.88 -> [14386] ~left_apart_point(A39_743_9, L40_743_9), ~left_apart_point(A39_743_9, reverse_line(L40_743_9))
% 293.42/42.88
% 293.42/42.88 [14386] CLOSURE : ~left_apart_point(A39_743_9, L40_743_9)
% 293.42/42.88
% 293.42/42.88 [14279] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [14431] ~(left_apart_point(A39_746_9, L40_746_9) | left_apart_point(A39_746_9, reverse_line(L40_746_9)))
% 293.42/42.88
% 293.42/42.88 [14431] ALPHA_NOT_OR : ~(left_apart_point(A39_746_9, L40_746_9) | left_apart_point(A39_746_9, reverse_line(L40_746_9)))
% 293.42/42.88 -> [14435] ~left_apart_point(A39_746_9, L40_746_9), ~left_apart_point(A39_746_9, reverse_line(L40_746_9))
% 293.42/42.88
% 293.42/42.88 [14435] CLOSURE : ~left_apart_point(A39_746_9, L40_746_9)
% 293.42/42.88
% 293.42/42.88 [12714] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [14245] ((unequally_directed_lines(skolem_N7979, M38_378_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_378_8))) => (left_convergent_lines(skolem_N7979, M38_378_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_378_8))))
% 293.42/42.88
% 293.42/42.88 [14245] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_378_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_378_8))) => (left_convergent_lines(skolem_N7979, M38_378_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_378_8))))
% 293.42/42.88 -> [14247] ~(unequally_directed_lines(skolem_N7979, M38_378_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_378_8)))
% 293.42/42.88 -> [14248] (left_convergent_lines(skolem_N7979, M38_378_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_378_8)))
% 293.42/42.88
% 293.42/42.88 [14247] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_378_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_378_8)))
% 293.42/42.88 -> [14270] ~unequally_directed_lines(skolem_N7979, M38_378_8)
% 293.42/42.88 -> [14271] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_378_8))
% 293.42/42.88
% 293.42/42.88 [14271] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_378_8))
% 293.42/42.88
% 293.42/42.88 [14270] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_378_8)
% 293.42/42.88
% 293.42/42.88 [14248] BETA_OR : (left_convergent_lines(skolem_N7979, M38_378_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_378_8)))
% 293.42/42.88 -> [14252] left_convergent_lines(skolem_N7979, M38_378_8)
% 293.42/42.88 -> [14253] left_convergent_lines(skolem_N7979, reverse_line(M38_378_8))
% 293.42/42.88
% 293.42/42.88 [14253] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [14440] ~(left_apart_point(A39_748_9, L40_748_9) | left_apart_point(A39_748_9, reverse_line(L40_748_9)))
% 293.42/42.88
% 293.42/42.88 [14440] ALPHA_NOT_OR : ~(left_apart_point(A39_748_9, L40_748_9) | left_apart_point(A39_748_9, reverse_line(L40_748_9)))
% 293.42/42.88 -> [14443] ~left_apart_point(A39_748_9, L40_748_9), ~left_apart_point(A39_748_9, reverse_line(L40_748_9))
% 293.42/42.88
% 293.42/42.88 [14443] CLOSURE : ~left_apart_point(A39_748_9, L40_748_9)
% 293.42/42.88
% 293.42/42.88 [14252] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [14620] ~(left_apart_point(A39_759_9, L40_759_9) | left_apart_point(A39_759_9, reverse_line(L40_759_9)))
% 293.42/42.88
% 293.42/42.88 [14620] ALPHA_NOT_OR : ~(left_apart_point(A39_759_9, L40_759_9) | left_apart_point(A39_759_9, reverse_line(L40_759_9)))
% 293.42/42.88 -> [14621] ~left_apart_point(A39_759_9, L40_759_9), ~left_apart_point(A39_759_9, reverse_line(L40_759_9))
% 293.42/42.88
% 293.42/42.88 [14621] CLOSURE : ~left_apart_point(A39_759_9, L40_759_9)
% 293.42/42.88
% 293.42/42.88 [12614] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [12627] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.88 -> [12628] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [12628] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [14281] ((unequally_directed_lines(skolem_N7979, M38_383_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_383_8))) => (left_convergent_lines(skolem_N7979, M38_383_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_383_8))))
% 293.42/42.88
% 293.42/42.88 [14281] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_383_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_383_8))) => (left_convergent_lines(skolem_N7979, M38_383_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_383_8))))
% 293.42/42.88 -> [14283] ~(unequally_directed_lines(skolem_N7979, M38_383_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_383_8)))
% 293.42/42.88 -> [14284] (left_convergent_lines(skolem_N7979, M38_383_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_383_8)))
% 293.42/42.88
% 293.42/42.88 [14284] BETA_OR : (left_convergent_lines(skolem_N7979, M38_383_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_383_8)))
% 293.42/42.88 -> [14285] left_convergent_lines(skolem_N7979, M38_383_8)
% 293.42/42.88 -> [14286] left_convergent_lines(skolem_N7979, reverse_line(M38_383_8))
% 293.42/42.88
% 293.42/42.88 [14286] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [14314] ~(left_apart_point(A39_730_9, L40_730_9) | left_apart_point(A39_730_9, reverse_line(L40_730_9)))
% 293.42/42.88
% 293.42/42.88 [14314] ALPHA_NOT_OR : ~(left_apart_point(A39_730_9, L40_730_9) | left_apart_point(A39_730_9, reverse_line(L40_730_9)))
% 293.42/42.88 -> [14315] ~left_apart_point(A39_730_9, L40_730_9), ~left_apart_point(A39_730_9, reverse_line(L40_730_9))
% 293.42/42.88
% 293.42/42.88 [14315] CLOSURE : ~left_apart_point(A39_730_9, L40_730_9)
% 293.42/42.88
% 293.42/42.88 [14285] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [14325] ~(left_apart_point(A39_731_9, L40_731_9) | left_apart_point(A39_731_9, reverse_line(L40_731_9)))
% 293.42/42.88
% 293.42/42.88 [14325] ALPHA_NOT_OR : ~(left_apart_point(A39_731_9, L40_731_9) | left_apart_point(A39_731_9, reverse_line(L40_731_9)))
% 293.42/42.88 -> [14326] ~left_apart_point(A39_731_9, L40_731_9), ~left_apart_point(A39_731_9, reverse_line(L40_731_9))
% 293.42/42.88
% 293.42/42.88 [14326] CLOSURE : ~left_apart_point(A39_731_9, L40_731_9)
% 293.42/42.88
% 293.42/42.88 [14283] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_383_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_383_8)))
% 293.42/42.88 -> [14294] ~unequally_directed_lines(skolem_N7979, M38_383_8)
% 293.42/42.88 -> [14295] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_383_8))
% 293.42/42.88
% 293.42/42.88 [14295] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_383_8))
% 293.42/42.88
% 293.42/42.88 [14294] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_383_8)
% 293.42/42.88
% 293.42/42.88 [12627] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [1188] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.88 -> [1858] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.88
% 293.42/42.88 [1858] 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))))
% 293.42/42.88 -> [1880] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.88
% 293.42/42.88 [1880] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.88 -> [1882] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.88 -> [1883] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.88
% 293.42/42.88 [1882] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.88
% 293.42/42.88 [1883] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.88 -> [3798] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.88 -> [3799] distinct_points(skolem_A8080, skolem_B8181)
% 293.42/42.88
% 293.42/42.88 [3798] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.88
% 293.42/42.88 [3799] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.88 -> [5605] ~distinct_lines(N27_164_3, N27_164_3)
% 293.42/42.88
% 293.42/42.88 [5605] 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))))
% 293.42/42.88 -> [5714] (distinct_lines(N27_164_3, N27_164_3) => (distinct_lines(N27_164_3, N27_164_3) | distinct_lines(N27_164_3, N27_164_3)))
% 293.42/42.88
% 293.42/42.88 [5714] BETA_IMPLY : (distinct_lines(N27_164_3, N27_164_3) => (distinct_lines(N27_164_3, N27_164_3) | distinct_lines(N27_164_3, N27_164_3)))
% 293.42/42.88 -> [5715] ~distinct_lines(N27_164_3, N27_164_3)
% 293.42/42.88 -> [5716] (distinct_lines(N27_164_3, N27_164_3) | distinct_lines(N27_164_3, N27_164_3))
% 293.42/42.88
% 293.42/42.88 [5716] BETA_OR : (distinct_lines(N27_164_3, N27_164_3) | distinct_lines(N27_164_3, N27_164_3))
% 293.42/42.88 -> [5717] distinct_lines(N27_164_3, N27_164_3)
% 293.42/42.88 -> [5718] distinct_lines(N27_164_3, N27_164_3)
% 293.42/42.88
% 293.42/42.88 [5718] CLOSURE : distinct_lines(N27_164_3, N27_164_3)
% 293.42/42.88
% 293.42/42.88 [5717] CLOSURE : distinct_lines(N27_164_3, N27_164_3)
% 293.42/42.88
% 293.42/42.88 [5715] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.88 -> [5829] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [5829] 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))))
% 293.42/42.88 -> [5936] (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)))
% 293.42/42.88
% 293.42/42.88 [5936] 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)))
% 293.42/42.88 -> [5939] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88 -> [5940] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [5939] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [5940] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.88 -> [9160] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.88 -> [9161] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [9160] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [9161] 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))))))
% 293.42/42.88 -> [12561] ((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)))))
% 293.42/42.88
% 293.42/42.88 [12561] 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)))))
% 293.42/42.88 -> [12562] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [12563] ((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))))
% 293.42/42.88
% 293.42/42.88 [12562] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [12631] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88 -> [12632] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [12632] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [12631] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88
% 293.42/42.88 [12563] 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))))
% 293.42/42.88 -> [22302] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [22303] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.88
% 293.42/42.88 [22302] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [23953] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [23953] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [22303] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [22305] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [22305] 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)))))
% 293.42/42.88 -> [22612] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.88
% 293.42/42.88 [22612] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.88 -> [22615] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.88 -> [22616] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.88
% 293.42/42.88 [22615] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.88 -> [22664] ~line(skolem_M7878)
% 293.42/42.88 -> [22665] ~line(skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [22664] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [24290] ((unequally_directed_lines(skolem_N7979, M38_1023_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1023_8))) => (left_convergent_lines(skolem_N7979, M38_1023_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1023_8))))
% 293.42/42.88
% 293.42/42.88 [24290] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1023_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1023_8))) => (left_convergent_lines(skolem_N7979, M38_1023_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1023_8))))
% 293.42/42.88 -> [24292] ~(unequally_directed_lines(skolem_N7979, M38_1023_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1023_8)))
% 293.42/42.88 -> [24293] (left_convergent_lines(skolem_N7979, M38_1023_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1023_8)))
% 293.42/42.88
% 293.42/42.88 [24292] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1023_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1023_8)))
% 293.42/42.88 -> [24325] ~unequally_directed_lines(skolem_N7979, M38_1023_8)
% 293.42/42.88 -> [24326] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1023_8))
% 293.42/42.88
% 293.42/42.88 [24326] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1023_8))
% 293.42/42.88
% 293.42/42.88 [24325] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1023_8)
% 293.42/42.88
% 293.42/42.88 [24293] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1023_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1023_8)))
% 293.42/42.88 -> [24299] left_convergent_lines(skolem_N7979, M38_1023_8)
% 293.42/42.88 -> [24300] left_convergent_lines(skolem_N7979, reverse_line(M38_1023_8))
% 293.42/42.88
% 293.42/42.88 [24300] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [24381] ~(left_apart_point(A39_2023_9, L40_2023_9) | left_apart_point(A39_2023_9, reverse_line(L40_2023_9)))
% 293.42/42.88
% 293.42/42.88 [24381] ALPHA_NOT_OR : ~(left_apart_point(A39_2023_9, L40_2023_9) | left_apart_point(A39_2023_9, reverse_line(L40_2023_9)))
% 293.42/42.88 -> [24387] ~left_apart_point(A39_2023_9, L40_2023_9), ~left_apart_point(A39_2023_9, reverse_line(L40_2023_9))
% 293.42/42.88
% 293.42/42.88 [24387] CLOSURE : ~left_apart_point(A39_2023_9, L40_2023_9)
% 293.42/42.88
% 293.42/42.88 [24299] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [24449] ~(left_apart_point(A39_2031_9, L40_2031_9) | left_apart_point(A39_2031_9, reverse_line(L40_2031_9)))
% 293.42/42.88
% 293.42/42.88 [24449] ALPHA_NOT_OR : ~(left_apart_point(A39_2031_9, L40_2031_9) | left_apart_point(A39_2031_9, reverse_line(L40_2031_9)))
% 293.42/42.88 -> [24452] ~left_apart_point(A39_2031_9, L40_2031_9), ~left_apart_point(A39_2031_9, reverse_line(L40_2031_9))
% 293.42/42.88
% 293.42/42.88 [24452] CLOSURE : ~left_apart_point(A39_2031_9, L40_2031_9)
% 293.42/42.88
% 293.42/42.88 [22665] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [24294] ((unequally_directed_lines(skolem_N7979, M38_1024_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1024_8))) => (left_convergent_lines(skolem_N7979, M38_1024_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1024_8))))
% 293.42/42.88
% 293.42/42.88 [24294] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1024_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1024_8))) => (left_convergent_lines(skolem_N7979, M38_1024_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1024_8))))
% 293.42/42.88 -> [24297] ~(unequally_directed_lines(skolem_N7979, M38_1024_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1024_8)))
% 293.42/42.88 -> [24298] (left_convergent_lines(skolem_N7979, M38_1024_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1024_8)))
% 293.42/42.88
% 293.42/42.88 [24298] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1024_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1024_8)))
% 293.42/42.88 -> [24303] left_convergent_lines(skolem_N7979, M38_1024_8)
% 293.42/42.88 -> [24304] left_convergent_lines(skolem_N7979, reverse_line(M38_1024_8))
% 293.42/42.88
% 293.42/42.88 [24304] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [24365] ~(left_apart_point(A39_2020_9, L40_2020_9) | left_apart_point(A39_2020_9, reverse_line(L40_2020_9)))
% 293.42/42.88
% 293.42/42.88 [24365] ALPHA_NOT_OR : ~(left_apart_point(A39_2020_9, L40_2020_9) | left_apart_point(A39_2020_9, reverse_line(L40_2020_9)))
% 293.42/42.88 -> [24368] ~left_apart_point(A39_2020_9, L40_2020_9), ~left_apart_point(A39_2020_9, reverse_line(L40_2020_9))
% 293.42/42.88
% 293.42/42.88 [24368] CLOSURE : ~left_apart_point(A39_2020_9, L40_2020_9)
% 293.42/42.88
% 293.42/42.88 [24303] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [24426] ~(left_apart_point(A39_2026_9, L40_2026_9) | left_apart_point(A39_2026_9, reverse_line(L40_2026_9)))
% 293.42/42.88
% 293.42/42.88 [24426] ALPHA_NOT_OR : ~(left_apart_point(A39_2026_9, L40_2026_9) | left_apart_point(A39_2026_9, reverse_line(L40_2026_9)))
% 293.42/42.88 -> [24427] ~left_apart_point(A39_2026_9, L40_2026_9), ~left_apart_point(A39_2026_9, reverse_line(L40_2026_9))
% 293.42/42.88
% 293.42/42.88 [24427] CLOSURE : ~left_apart_point(A39_2026_9, L40_2026_9)
% 293.42/42.88
% 293.42/42.88 [24297] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1024_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1024_8)))
% 293.42/42.88 -> [24317] ~unequally_directed_lines(skolem_N7979, M38_1024_8)
% 293.42/42.88 -> [24318] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1024_8))
% 293.42/42.88
% 293.42/42.88 [24317] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1024_8)
% 293.42/42.88
% 293.42/42.88 [24318] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1024_8))
% 293.42/42.88
% 293.42/42.88 [22616] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [22622] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.88 -> [22623] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [22622] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [22623] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [24354] ((unequally_directed_lines(skolem_N7979, M38_1028_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1028_8))) => (left_convergent_lines(skolem_N7979, M38_1028_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1028_8))))
% 293.42/42.88
% 293.42/42.88 [24354] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1028_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1028_8))) => (left_convergent_lines(skolem_N7979, M38_1028_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1028_8))))
% 293.42/42.88 -> [24358] ~(unequally_directed_lines(skolem_N7979, M38_1028_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1028_8)))
% 293.42/42.88 -> [24359] (left_convergent_lines(skolem_N7979, M38_1028_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1028_8)))
% 293.42/42.88
% 293.42/42.88 [24358] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1028_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1028_8)))
% 293.42/42.88 -> [24415] ~unequally_directed_lines(skolem_N7979, M38_1028_8)
% 293.42/42.88 -> [24416] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1028_8))
% 293.42/42.88
% 293.42/42.88 [24416] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1028_8))
% 293.42/42.88
% 293.42/42.88 [24415] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1028_8)
% 293.42/42.88
% 293.42/42.88 [24359] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1028_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1028_8)))
% 293.42/42.88 -> [24362] left_convergent_lines(skolem_N7979, M38_1028_8)
% 293.42/42.88 -> [24363] left_convergent_lines(skolem_N7979, reverse_line(M38_1028_8))
% 293.42/42.88
% 293.42/42.88 [24363] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [24499] ~(left_apart_point(A39_2035_9, L40_2035_9) | left_apart_point(A39_2035_9, reverse_line(L40_2035_9)))
% 293.42/42.88
% 293.42/42.88 [24499] ALPHA_NOT_OR : ~(left_apart_point(A39_2035_9, L40_2035_9) | left_apart_point(A39_2035_9, reverse_line(L40_2035_9)))
% 293.42/42.88 -> [24502] ~left_apart_point(A39_2035_9, L40_2035_9), ~left_apart_point(A39_2035_9, reverse_line(L40_2035_9))
% 293.42/42.88
% 293.42/42.88 [24502] CLOSURE : ~left_apart_point(A39_2035_9, L40_2035_9)
% 293.42/42.88
% 293.42/42.88 [24362] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [24537] ~(left_apart_point(A39_2042_9, L40_2042_9) | left_apart_point(A39_2042_9, reverse_line(L40_2042_9)))
% 293.42/42.88
% 293.42/42.88 [24537] ALPHA_NOT_OR : ~(left_apart_point(A39_2042_9, L40_2042_9) | left_apart_point(A39_2042_9, reverse_line(L40_2042_9)))
% 293.42/42.88 -> [24543] ~left_apart_point(A39_2042_9, L40_2042_9), ~left_apart_point(A39_2042_9, reverse_line(L40_2042_9))
% 293.42/42.88
% 293.42/42.88 [24543] CLOSURE : ~left_apart_point(A39_2042_9, L40_2042_9)
% 293.42/42.88
% 293.42/42.88 [842] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.42/42.88 -> [1178] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 293.42/42.88 -> [1179] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.88
% 293.42/42.88 [1179] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.88 -> [1256] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.88
% 293.42/42.88 [1256] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.88 -> [1257] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.42/42.88 -> [1258] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [1258] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.88 -> [1439] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.88
% 293.42/42.88 [1439] 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))))
% 293.42/42.88 -> [2680] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.88
% 293.42/42.88 [2680] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.88 -> [2681] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.88 -> [2682] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.88
% 293.42/42.88 [2681] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.88
% 293.42/42.88 [2682] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.88 -> [3146] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.88 -> [3147] distinct_points(skolem_A8080, skolem_B8181)
% 293.42/42.88
% 293.42/42.88 [3146] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.88
% 293.42/42.88 [3147] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.88 -> [4034] ~distinct_lines(N27_97_3, N27_97_3)
% 293.42/42.88
% 293.42/42.88 [4034] 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))))
% 293.42/42.88 -> [4230] (distinct_lines(N27_97_3, N27_97_3) => (distinct_lines(N27_97_3, N27_97_3) | distinct_lines(N27_97_3, N27_97_3)))
% 293.42/42.88
% 293.42/42.88 [4230] 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)))
% 293.42/42.88 -> [4235] ~distinct_lines(N27_97_3, N27_97_3)
% 293.42/42.88 -> [4236] (distinct_lines(N27_97_3, N27_97_3) | distinct_lines(N27_97_3, N27_97_3))
% 293.42/42.88
% 293.42/42.88 [4236] BETA_OR : (distinct_lines(N27_97_3, N27_97_3) | distinct_lines(N27_97_3, N27_97_3))
% 293.42/42.88 -> [4240] distinct_lines(N27_97_3, N27_97_3)
% 293.42/42.88 -> [4241] distinct_lines(N27_97_3, N27_97_3)
% 293.42/42.88
% 293.42/42.88 [4241] CLOSURE : distinct_lines(N27_97_3, N27_97_3)
% 293.42/42.88
% 293.42/42.88 [4240] CLOSURE : distinct_lines(N27_97_3, N27_97_3)
% 293.42/42.88
% 293.42/42.88 [4235] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.88 -> [4247] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [4247] 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))))
% 293.42/42.88 -> [4261] (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))))
% 293.42/42.88
% 293.42/42.88 [4261] 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))))
% 293.42/42.88 -> [4262] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88 -> [4263] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.88
% 293.42/42.88 [4262] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [4263] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.88 -> [4500] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88 -> [4501] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [4501] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [4500] 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))))))
% 293.42/42.88 -> [4674] ((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)))))
% 293.42/42.88
% 293.42/42.88 [4674] 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)))))
% 293.42/42.88 -> [4675] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [4676] ((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))))
% 293.42/42.88
% 293.42/42.88 [4675] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [4694] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88 -> [4695] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [4695] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [4694] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88
% 293.42/42.88 [4676] 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))))
% 293.42/42.88 -> [6681] (unequally_directed_lines(skolem_M7878, N34_15_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_15_6)))
% 293.42/42.88 -> [6682] (unequally_directed_lines(skolem_N7979, N34_15_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_15_6)))
% 293.42/42.88
% 293.42/42.88 [6681] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_15_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_15_6)))
% 293.42/42.88 -> [6725] unequally_directed_lines(skolem_M7878, N34_15_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_15_6))
% 293.42/42.88
% 293.42/42.88 [6725] 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)))))
% 293.42/42.88 -> [7015] ((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)))))
% 293.42/42.88
% 293.42/42.88 [7015] 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)))))
% 293.42/42.88 -> [7016] ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.88 -> [7017] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))
% 293.42/42.88
% 293.42/42.88 [7016] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.88 -> [7046] ~line(skolem_L7777)
% 293.42/42.88 -> [7047] ~line(line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.88
% 293.42/42.88 [7047] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [7171] ((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))))
% 293.42/42.88
% 293.42/42.88 [7171] 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))))
% 293.42/42.88 -> [7173] ~(unequally_directed_lines(skolem_L7777, skolem_N7979) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [7174] (left_convergent_lines(skolem_L7777, skolem_N7979) | left_convergent_lines(skolem_L7777, reverse_line(skolem_N7979)))
% 293.42/42.88
% 293.42/42.88 [7173] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_N7979) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [7224] ~unequally_directed_lines(skolem_L7777, skolem_N7979)
% 293.42/42.88 -> [7225] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [7224] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_N7979)
% 293.42/42.88
% 293.42/42.88 [7225] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [7174] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_N7979) | left_convergent_lines(skolem_L7777, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [7179] left_convergent_lines(skolem_L7777, skolem_N7979)
% 293.42/42.88 -> [7180] left_convergent_lines(skolem_L7777, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [7180] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [7335] ~(left_apart_point(A39_102_9, L40_102_9) | left_apart_point(A39_102_9, reverse_line(L40_102_9)))
% 293.42/42.88
% 293.42/42.88 [7335] ALPHA_NOT_OR : ~(left_apart_point(A39_102_9, L40_102_9) | left_apart_point(A39_102_9, reverse_line(L40_102_9)))
% 293.42/42.88 -> [7337] ~left_apart_point(A39_102_9, L40_102_9), ~left_apart_point(A39_102_9, reverse_line(L40_102_9))
% 293.42/42.88
% 293.42/42.88 [7337] CLOSURE : ~left_apart_point(A39_102_9, L40_102_9)
% 293.42/42.88
% 293.42/42.88 [7179] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [7398] ~(left_apart_point(A39_109_9, L40_109_9) | left_apart_point(A39_109_9, reverse_line(L40_109_9)))
% 293.42/42.88
% 293.42/42.88 [7398] ALPHA_NOT_OR : ~(left_apart_point(A39_109_9, L40_109_9) | left_apart_point(A39_109_9, reverse_line(L40_109_9)))
% 293.42/42.88 -> [7400] ~left_apart_point(A39_109_9, L40_109_9), ~left_apart_point(A39_109_9, reverse_line(L40_109_9))
% 293.42/42.88
% 293.42/42.88 [7400] CLOSURE : ~left_apart_point(A39_109_9, L40_109_9)
% 293.42/42.88
% 293.42/42.88 [7046] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [7261] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.88
% 293.42/42.88 [7261] 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))))
% 293.42/42.88 -> [7262] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [7263] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88
% 293.42/42.88 [7262] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [7286] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88 -> [7287] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [7287] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [7286] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [7263] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [7264] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88 -> [7265] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [7264] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [7433] ~(left_apart_point(A39_111_9, L40_111_9) | left_apart_point(A39_111_9, reverse_line(L40_111_9)))
% 293.42/42.88
% 293.42/42.88 [7433] ALPHA_NOT_OR : ~(left_apart_point(A39_111_9, L40_111_9) | left_apart_point(A39_111_9, reverse_line(L40_111_9)))
% 293.42/42.88 -> [7434] ~left_apart_point(A39_111_9, L40_111_9), ~left_apart_point(A39_111_9, reverse_line(L40_111_9))
% 293.42/42.88
% 293.42/42.88 [7434] CLOSURE : ~left_apart_point(A39_111_9, L40_111_9)
% 293.42/42.88
% 293.42/42.88 [7265] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [8655] ~(left_apart_point(A39_174_9, L40_174_9) | left_apart_point(A39_174_9, reverse_line(L40_174_9)))
% 293.42/42.88
% 293.42/42.88 [8655] ALPHA_NOT_OR : ~(left_apart_point(A39_174_9, L40_174_9) | left_apart_point(A39_174_9, reverse_line(L40_174_9)))
% 293.42/42.88 -> [8658] ~left_apart_point(A39_174_9, L40_174_9), ~left_apart_point(A39_174_9, reverse_line(L40_174_9))
% 293.42/42.88
% 293.42/42.88 [8658] CLOSURE : ~left_apart_point(A39_174_9, L40_174_9)
% 293.42/42.88
% 293.42/42.88 [7017] 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))))
% 293.42/42.88 -> [7018] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.88 -> [7019] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.88
% 293.42/42.88 [7018] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.88
% 293.42/42.88 [7019] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [9714] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.88
% 293.42/42.88 [9714] 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))))
% 293.42/42.88 -> [9715] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [9716] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88
% 293.42/42.88 [9716] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [9718] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88 -> [9719] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [9719] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [9767] ~(left_apart_point(A39_249_9, L40_249_9) | left_apart_point(A39_249_9, reverse_line(L40_249_9)))
% 293.42/42.88
% 293.42/42.88 [9767] ALPHA_NOT_OR : ~(left_apart_point(A39_249_9, L40_249_9) | left_apart_point(A39_249_9, reverse_line(L40_249_9)))
% 293.42/42.88 -> [9769] ~left_apart_point(A39_249_9, L40_249_9), ~left_apart_point(A39_249_9, reverse_line(L40_249_9))
% 293.42/42.88
% 293.42/42.88 [9769] CLOSURE : ~left_apart_point(A39_249_9, L40_249_9)
% 293.42/42.88
% 293.42/42.88 [9718] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [9807] ~(left_apart_point(A39_253_9, L40_253_9) | left_apart_point(A39_253_9, reverse_line(L40_253_9)))
% 293.42/42.88
% 293.42/42.88 [9807] ALPHA_NOT_OR : ~(left_apart_point(A39_253_9, L40_253_9) | left_apart_point(A39_253_9, reverse_line(L40_253_9)))
% 293.42/42.88 -> [9808] ~left_apart_point(A39_253_9, L40_253_9), ~left_apart_point(A39_253_9, reverse_line(L40_253_9))
% 293.42/42.88
% 293.42/42.88 [9808] CLOSURE : ~left_apart_point(A39_253_9, L40_253_9)
% 293.42/42.88
% 293.42/42.88 [9715] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [9731] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88 -> [9732] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [9732] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [9731] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [6682] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_15_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_15_6)))
% 293.42/42.88 -> [6683] unequally_directed_lines(skolem_N7979, N34_15_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_15_6))
% 293.42/42.88
% 293.42/42.88 [6683] 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)))))
% 293.42/42.88 -> [7452] ((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))))
% 293.42/42.88
% 293.42/42.88 [7452] 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))))
% 293.42/42.88 -> [7460] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.88 -> [7461] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.88
% 293.42/42.88 [7460] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.88 -> [7509] ~line(reverse_line(skolem_N7979))
% 293.42/42.88 -> [7510] ~line(skolem_N7979)
% 293.42/42.88
% 293.42/42.88 [7510] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [7618] ((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))))
% 293.42/42.88
% 293.42/42.88 [7618] 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))))
% 293.42/42.88 -> [7621] ~(unequally_directed_lines(skolem_N7979, M38_64_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_64_8)))
% 293.42/42.88 -> [7622] (left_convergent_lines(skolem_N7979, M38_64_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_64_8)))
% 293.42/42.88
% 293.42/42.88 [7622] BETA_OR : (left_convergent_lines(skolem_N7979, M38_64_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_64_8)))
% 293.42/42.88 -> [7623] left_convergent_lines(skolem_N7979, M38_64_8)
% 293.42/42.88 -> [7624] left_convergent_lines(skolem_N7979, reverse_line(M38_64_8))
% 293.42/42.88
% 293.42/42.88 [7623] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [7814] ~(left_apart_point(A39_125_9, L40_125_9) | left_apart_point(A39_125_9, reverse_line(L40_125_9)))
% 293.42/42.88
% 293.42/42.88 [7814] ALPHA_NOT_OR : ~(left_apart_point(A39_125_9, L40_125_9) | left_apart_point(A39_125_9, reverse_line(L40_125_9)))
% 293.42/42.88 -> [7815] ~left_apart_point(A39_125_9, L40_125_9), ~left_apart_point(A39_125_9, reverse_line(L40_125_9))
% 293.42/42.88
% 293.42/42.88 [7815] CLOSURE : ~left_apart_point(A39_125_9, L40_125_9)
% 293.42/42.88
% 293.42/42.88 [7624] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [7824] ~(left_apart_point(A39_127_9, L40_127_9) | left_apart_point(A39_127_9, reverse_line(L40_127_9)))
% 293.42/42.88
% 293.42/42.88 [7824] ALPHA_NOT_OR : ~(left_apart_point(A39_127_9, L40_127_9) | left_apart_point(A39_127_9, reverse_line(L40_127_9)))
% 293.42/42.88 -> [7829] ~left_apart_point(A39_127_9, L40_127_9), ~left_apart_point(A39_127_9, reverse_line(L40_127_9))
% 293.42/42.88
% 293.42/42.88 [7829] CLOSURE : ~left_apart_point(A39_127_9, L40_127_9)
% 293.42/42.88
% 293.42/42.88 [7621] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_64_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_64_8)))
% 293.42/42.88 -> [7679] ~unequally_directed_lines(skolem_N7979, M38_64_8)
% 293.42/42.88 -> [7680] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_64_8))
% 293.42/42.88
% 293.42/42.88 [7680] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_64_8))
% 293.42/42.88
% 293.42/42.88 [7679] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_64_8)
% 293.42/42.88
% 293.42/42.88 [7509] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [7711] ((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))))
% 293.42/42.88
% 293.42/42.88 [7711] 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))))
% 293.42/42.88 -> [7712] ~(unequally_directed_lines(skolem_N7979, M38_68_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_68_8)))
% 293.42/42.88 -> [7713] (left_convergent_lines(skolem_N7979, M38_68_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_68_8)))
% 293.42/42.88
% 293.42/42.88 [7712] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_68_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_68_8)))
% 293.42/42.88 -> [7766] ~unequally_directed_lines(skolem_N7979, M38_68_8)
% 293.42/42.88 -> [7767] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_68_8))
% 293.42/42.88
% 293.42/42.88 [7767] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_68_8))
% 293.42/42.88
% 293.42/42.88 [7766] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_68_8)
% 293.42/42.88
% 293.42/42.88 [7713] BETA_OR : (left_convergent_lines(skolem_N7979, M38_68_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_68_8)))
% 293.42/42.88 -> [7718] left_convergent_lines(skolem_N7979, M38_68_8)
% 293.42/42.88 -> [7719] left_convergent_lines(skolem_N7979, reverse_line(M38_68_8))
% 293.42/42.88
% 293.42/42.88 [7719] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [7843] ~(left_apart_point(A39_130_9, L40_130_9) | left_apart_point(A39_130_9, reverse_line(L40_130_9)))
% 293.42/42.88
% 293.42/42.88 [7843] ALPHA_NOT_OR : ~(left_apart_point(A39_130_9, L40_130_9) | left_apart_point(A39_130_9, reverse_line(L40_130_9)))
% 293.42/42.88 -> [7844] ~left_apart_point(A39_130_9, L40_130_9), ~left_apart_point(A39_130_9, reverse_line(L40_130_9))
% 293.42/42.88
% 293.42/42.88 [7844] CLOSURE : ~left_apart_point(A39_130_9, L40_130_9)
% 293.42/42.88
% 293.42/42.88 [7718] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [8615] ~(left_apart_point(A39_171_9, L40_171_9) | left_apart_point(A39_171_9, reverse_line(L40_171_9)))
% 293.42/42.88
% 293.42/42.88 [8615] ALPHA_NOT_OR : ~(left_apart_point(A39_171_9, L40_171_9) | left_apart_point(A39_171_9, reverse_line(L40_171_9)))
% 293.42/42.88 -> [8618] ~left_apart_point(A39_171_9, L40_171_9), ~left_apart_point(A39_171_9, reverse_line(L40_171_9))
% 293.42/42.88
% 293.42/42.88 [8618] CLOSURE : ~left_apart_point(A39_171_9, L40_171_9)
% 293.42/42.88
% 293.42/42.88 [7461] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.88 -> [7467] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 293.42/42.88 -> [7468] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [7468] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [7467] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [12047] ((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))))
% 293.42/42.88
% 293.42/42.88 [12047] 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))))
% 293.42/42.88 -> [12051] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [12052] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88
% 293.42/42.88 [12051] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [12103] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88 -> [12104] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [12103] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88
% 293.42/42.88 [12104] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [12052] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [12053] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88 -> [12054] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [12054] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [12511] ~(left_apart_point(A39_522_9, L40_522_9) | left_apart_point(A39_522_9, reverse_line(L40_522_9)))
% 293.42/42.88
% 293.42/42.88 [12511] ALPHA_NOT_OR : ~(left_apart_point(A39_522_9, L40_522_9) | left_apart_point(A39_522_9, reverse_line(L40_522_9)))
% 293.42/42.88 -> [12512] ~left_apart_point(A39_522_9, L40_522_9), ~left_apart_point(A39_522_9, reverse_line(L40_522_9))
% 293.42/42.88
% 293.42/42.88 [12512] CLOSURE : ~left_apart_point(A39_522_9, L40_522_9)
% 293.42/42.88
% 293.42/42.88 [12053] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [12517] ~(left_apart_point(A39_523_9, L40_523_9) | left_apart_point(A39_523_9, reverse_line(L40_523_9)))
% 293.42/42.88
% 293.42/42.88 [12517] ALPHA_NOT_OR : ~(left_apart_point(A39_523_9, L40_523_9) | left_apart_point(A39_523_9, reverse_line(L40_523_9)))
% 293.42/42.88 -> [12518] ~left_apart_point(A39_523_9, L40_523_9), ~left_apart_point(A39_523_9, reverse_line(L40_523_9))
% 293.42/42.88
% 293.42/42.88 [12518] CLOSURE : ~left_apart_point(A39_523_9, L40_523_9)
% 293.42/42.88
% 293.42/42.88 [1257] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.88 -> [1511] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.88
% 293.42/42.88 [1511] 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))))
% 293.42/42.88 -> [1586] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.88
% 293.42/42.88 [1586] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.88 -> [1587] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.88 -> [1588] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.88
% 293.42/42.88 [1587] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.88
% 293.42/42.88 [1588] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.88 -> [3813] distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.88 -> [3814] distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.88
% 293.42/42.88 [3814] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.88
% 293.42/42.88 [3813] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.88 -> [5015] ~distinct_lines(N27_138_3, N27_138_3)
% 293.42/42.88
% 293.42/42.88 [5015] 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))))
% 293.42/42.88 -> [5108] (distinct_lines(N27_138_3, N27_138_3) => (distinct_lines(N27_138_3, N27_138_3) | distinct_lines(N27_138_3, N27_138_3)))
% 293.42/42.88
% 293.42/42.88 [5108] BETA_IMPLY : (distinct_lines(N27_138_3, N27_138_3) => (distinct_lines(N27_138_3, N27_138_3) | distinct_lines(N27_138_3, N27_138_3)))
% 293.42/42.88 -> [5109] ~distinct_lines(N27_138_3, N27_138_3)
% 293.42/42.88 -> [5110] (distinct_lines(N27_138_3, N27_138_3) | distinct_lines(N27_138_3, N27_138_3))
% 293.42/42.88
% 293.42/42.88 [5110] BETA_OR : (distinct_lines(N27_138_3, N27_138_3) | distinct_lines(N27_138_3, N27_138_3))
% 293.42/42.88 -> [5113] distinct_lines(N27_138_3, N27_138_3)
% 293.42/42.88 -> [5114] distinct_lines(N27_138_3, N27_138_3)
% 293.42/42.88
% 293.42/42.88 [5113] CLOSURE : distinct_lines(N27_138_3, N27_138_3)
% 293.42/42.88
% 293.42/42.88 [5114] CLOSURE : distinct_lines(N27_138_3, N27_138_3)
% 293.42/42.88
% 293.42/42.88 [5109] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.88 -> [5189] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [5189] 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))))
% 293.42/42.88 -> [5569] (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))))
% 293.42/42.88
% 293.42/42.88 [5569] 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))))
% 293.42/42.88 -> [5570] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88 -> [5571] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.88
% 293.42/42.88 [5570] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [5571] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.88 -> [9331] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88 -> [9332] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [9332] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [9331] 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))))))
% 293.42/42.88 -> [10475] ((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)))))
% 293.42/42.88
% 293.42/42.88 [10475] 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)))))
% 293.42/42.88 -> [10477] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [10478] ((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))))
% 293.42/42.88
% 293.42/42.88 [10477] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [10538] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88 -> [10539] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [10539] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [10538] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88
% 293.42/42.88 [10478] 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))))
% 293.42/42.88 -> [16402] (unequally_directed_lines(skolem_M7878, N34_123_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_123_6)))
% 293.42/42.88 -> [16403] (unequally_directed_lines(skolem_N7979, N34_123_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_123_6)))
% 293.42/42.88
% 293.42/42.88 [16402] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_123_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_123_6)))
% 293.42/42.88 -> [16425] unequally_directed_lines(skolem_M7878, N34_123_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_123_6))
% 293.42/42.88
% 293.42/42.88 [16425] 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)))))
% 293.42/42.88 -> [16498] ((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))))
% 293.42/42.88
% 293.42/42.88 [16498] 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))))
% 293.42/42.88 -> [16503] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.88 -> [16504] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.88
% 293.42/42.88 [16504] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.88 -> [16507] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 293.42/42.88 -> [16508] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [16508] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [16507] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [17876] ((unequally_directed_lines(skolem_M7878, M38_609_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_609_8))) => (left_convergent_lines(skolem_M7878, M38_609_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_609_8))))
% 293.42/42.88
% 293.42/42.88 [17876] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_609_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_609_8))) => (left_convergent_lines(skolem_M7878, M38_609_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_609_8))))
% 293.42/42.88 -> [17877] ~(unequally_directed_lines(skolem_M7878, M38_609_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_609_8)))
% 293.42/42.88 -> [17878] (left_convergent_lines(skolem_M7878, M38_609_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_609_8)))
% 293.42/42.88
% 293.42/42.88 [17878] BETA_OR : (left_convergent_lines(skolem_M7878, M38_609_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_609_8)))
% 293.42/42.88 -> [17884] left_convergent_lines(skolem_M7878, M38_609_8)
% 293.42/42.88 -> [17885] left_convergent_lines(skolem_M7878, reverse_line(M38_609_8))
% 293.42/42.88
% 293.42/42.88 [17885] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [18014] ~(left_apart_point(A39_1164_9, L40_1164_9) | left_apart_point(A39_1164_9, reverse_line(L40_1164_9)))
% 293.42/42.88
% 293.42/42.88 [18014] ALPHA_NOT_OR : ~(left_apart_point(A39_1164_9, L40_1164_9) | left_apart_point(A39_1164_9, reverse_line(L40_1164_9)))
% 293.42/42.88 -> [18015] ~left_apart_point(A39_1164_9, L40_1164_9), ~left_apart_point(A39_1164_9, reverse_line(L40_1164_9))
% 293.42/42.88
% 293.42/42.88 [18015] CLOSURE : ~left_apart_point(A39_1164_9, L40_1164_9)
% 293.42/42.88
% 293.42/42.88 [17884] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [18032] ~(left_apart_point(A39_1166_9, L40_1166_9) | left_apart_point(A39_1166_9, reverse_line(L40_1166_9)))
% 293.42/42.88
% 293.42/42.88 [18032] ALPHA_NOT_OR : ~(left_apart_point(A39_1166_9, L40_1166_9) | left_apart_point(A39_1166_9, reverse_line(L40_1166_9)))
% 293.42/42.88 -> [18033] ~left_apart_point(A39_1166_9, L40_1166_9), ~left_apart_point(A39_1166_9, reverse_line(L40_1166_9))
% 293.42/42.88
% 293.42/42.88 [18033] CLOSURE : ~left_apart_point(A39_1166_9, L40_1166_9)
% 293.42/42.88
% 293.42/42.88 [17877] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_609_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_609_8)))
% 293.42/42.88 -> [17914] ~unequally_directed_lines(skolem_M7878, M38_609_8)
% 293.42/42.88 -> [17915] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_609_8))
% 293.42/42.88
% 293.42/42.88 [17915] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_609_8))
% 293.42/42.88
% 293.42/42.88 [17914] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_609_8)
% 293.42/42.88
% 293.42/42.88 [16503] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.88 -> [16527] ~line(reverse_line(skolem_N7979))
% 293.42/42.88 -> [16528] ~line(skolem_N7979)
% 293.42/42.88
% 293.42/42.88 [16528] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [16587] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.88
% 293.42/42.88 [16587] 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))))
% 293.42/42.88 -> [16591] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [16592] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88
% 293.42/42.88 [16592] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [16596] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88 -> [16597] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [16597] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [16746] ~(left_apart_point(A39_1005_9, L40_1005_9) | left_apart_point(A39_1005_9, reverse_line(L40_1005_9)))
% 293.42/42.88
% 293.42/42.88 [16746] ALPHA_NOT_OR : ~(left_apart_point(A39_1005_9, L40_1005_9) | left_apart_point(A39_1005_9, reverse_line(L40_1005_9)))
% 293.42/42.88 -> [16748] ~left_apart_point(A39_1005_9, L40_1005_9), ~left_apart_point(A39_1005_9, reverse_line(L40_1005_9))
% 293.42/42.88
% 293.42/42.88 [16748] CLOSURE : ~left_apart_point(A39_1005_9, L40_1005_9)
% 293.42/42.88
% 293.42/42.88 [16596] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [16788] ~(left_apart_point(A39_1010_9, L40_1010_9) | left_apart_point(A39_1010_9, reverse_line(L40_1010_9)))
% 293.42/42.88
% 293.42/42.88 [16788] ALPHA_NOT_OR : ~(left_apart_point(A39_1010_9, L40_1010_9) | left_apart_point(A39_1010_9, reverse_line(L40_1010_9)))
% 293.42/42.88 -> [16793] ~left_apart_point(A39_1010_9, L40_1010_9), ~left_apart_point(A39_1010_9, reverse_line(L40_1010_9))
% 293.42/42.88
% 293.42/42.88 [16793] CLOSURE : ~left_apart_point(A39_1010_9, L40_1010_9)
% 293.42/42.88
% 293.42/42.88 [16591] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [16640] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88 -> [16641] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [16641] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [16640] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [16527] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [16622] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.88
% 293.42/42.88 [16622] 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))))
% 293.42/42.88 -> [16623] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [16624] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88
% 293.42/42.88 [16623] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [16683] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88 -> [16684] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [16684] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [16683] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [16624] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [16626] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88 -> [16627] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [16627] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [17004] ~(left_apart_point(A39_1027_9, L40_1027_9) | left_apart_point(A39_1027_9, reverse_line(L40_1027_9)))
% 293.42/42.88
% 293.42/42.88 [17004] ALPHA_NOT_OR : ~(left_apart_point(A39_1027_9, L40_1027_9) | left_apart_point(A39_1027_9, reverse_line(L40_1027_9)))
% 293.42/42.88 -> [17256] ~left_apart_point(A39_1027_9, L40_1027_9), ~left_apart_point(A39_1027_9, reverse_line(L40_1027_9))
% 293.42/42.88
% 293.42/42.88 [17256] CLOSURE : ~left_apart_point(A39_1027_9, L40_1027_9)
% 293.42/42.88
% 293.42/42.88 [16626] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [18178] ~(left_apart_point(A39_1180_9, L40_1180_9) | left_apart_point(A39_1180_9, reverse_line(L40_1180_9)))
% 293.42/42.88
% 293.42/42.88 [18178] ALPHA_NOT_OR : ~(left_apart_point(A39_1180_9, L40_1180_9) | left_apart_point(A39_1180_9, reverse_line(L40_1180_9)))
% 293.42/42.88 -> [18179] ~left_apart_point(A39_1180_9, L40_1180_9), ~left_apart_point(A39_1180_9, reverse_line(L40_1180_9))
% 293.42/42.88
% 293.42/42.88 [18179] CLOSURE : ~left_apart_point(A39_1180_9, L40_1180_9)
% 293.42/42.88
% 293.42/42.88 [16403] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_123_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_123_6)))
% 293.42/42.88 -> [16405] unequally_directed_lines(skolem_N7979, N34_123_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_123_6))
% 293.42/42.88
% 293.42/42.88 [16405] 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)))))
% 293.42/42.88 -> [16478] ((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))))
% 293.42/42.88
% 293.42/42.88 [16478] 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))))
% 293.42/42.88 -> [16483] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.88 -> [16484] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.88
% 293.42/42.88 [16483] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.88 -> [16516] ~line(reverse_line(skolem_N7979))
% 293.42/42.88 -> [16517] ~line(skolem_N7979)
% 293.42/42.88
% 293.42/42.88 [16517] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [16573] ((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))))
% 293.42/42.88
% 293.42/42.88 [16573] 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))))
% 293.42/42.88 -> [16574] ~(unequally_directed_lines(skolem_N7979, M38_521_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_521_8)))
% 293.42/42.88 -> [16575] (left_convergent_lines(skolem_N7979, M38_521_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_521_8)))
% 293.42/42.88
% 293.42/42.88 [16575] BETA_OR : (left_convergent_lines(skolem_N7979, M38_521_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_521_8)))
% 293.42/42.88 -> [16576] left_convergent_lines(skolem_N7979, M38_521_8)
% 293.42/42.88 -> [16577] left_convergent_lines(skolem_N7979, reverse_line(M38_521_8))
% 293.42/42.88
% 293.42/42.88 [16577] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [16737] ~(left_apart_point(A39_1003_9, L40_1003_9) | left_apart_point(A39_1003_9, reverse_line(L40_1003_9)))
% 293.42/42.88
% 293.42/42.88 [16737] ALPHA_NOT_OR : ~(left_apart_point(A39_1003_9, L40_1003_9) | left_apart_point(A39_1003_9, reverse_line(L40_1003_9)))
% 293.42/42.88 -> [16738] ~left_apart_point(A39_1003_9, L40_1003_9), ~left_apart_point(A39_1003_9, reverse_line(L40_1003_9))
% 293.42/42.88
% 293.42/42.88 [16738] CLOSURE : ~left_apart_point(A39_1003_9, L40_1003_9)
% 293.42/42.88
% 293.42/42.88 [16576] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [16776] ~(left_apart_point(A39_1008_9, L40_1008_9) | left_apart_point(A39_1008_9, reverse_line(L40_1008_9)))
% 293.42/42.88
% 293.42/42.88 [16776] ALPHA_NOT_OR : ~(left_apart_point(A39_1008_9, L40_1008_9) | left_apart_point(A39_1008_9, reverse_line(L40_1008_9)))
% 293.42/42.88 -> [16779] ~left_apart_point(A39_1008_9, L40_1008_9), ~left_apart_point(A39_1008_9, reverse_line(L40_1008_9))
% 293.42/42.88
% 293.42/42.88 [16779] CLOSURE : ~left_apart_point(A39_1008_9, L40_1008_9)
% 293.42/42.88
% 293.42/42.88 [16574] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_521_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_521_8)))
% 293.42/42.88 -> [16606] ~unequally_directed_lines(skolem_N7979, M38_521_8)
% 293.42/42.88 -> [16607] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_521_8))
% 293.42/42.88
% 293.42/42.88 [16607] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_521_8))
% 293.42/42.88
% 293.42/42.88 [16606] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_521_8)
% 293.42/42.88
% 293.42/42.88 [16516] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [16599] ((unequally_directed_lines(skolem_N7979, M38_523_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_523_8))) => (left_convergent_lines(skolem_N7979, M38_523_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_523_8))))
% 293.42/42.88
% 293.42/42.88 [16599] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_523_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_523_8))) => (left_convergent_lines(skolem_N7979, M38_523_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_523_8))))
% 293.42/42.88 -> [16600] ~(unequally_directed_lines(skolem_N7979, M38_523_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_523_8)))
% 293.42/42.88 -> [16601] (left_convergent_lines(skolem_N7979, M38_523_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_523_8)))
% 293.42/42.88
% 293.42/42.88 [16601] BETA_OR : (left_convergent_lines(skolem_N7979, M38_523_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_523_8)))
% 293.42/42.88 -> [16604] left_convergent_lines(skolem_N7979, M38_523_8)
% 293.42/42.88 -> [16605] left_convergent_lines(skolem_N7979, reverse_line(M38_523_8))
% 293.42/42.88
% 293.42/42.88 [16605] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [16757] ~(left_apart_point(A39_1007_9, L40_1007_9) | left_apart_point(A39_1007_9, reverse_line(L40_1007_9)))
% 293.42/42.88
% 293.42/42.88 [16757] ALPHA_NOT_OR : ~(left_apart_point(A39_1007_9, L40_1007_9) | left_apart_point(A39_1007_9, reverse_line(L40_1007_9)))
% 293.42/42.88 -> [16764] ~left_apart_point(A39_1007_9, L40_1007_9), ~left_apart_point(A39_1007_9, reverse_line(L40_1007_9))
% 293.42/42.88
% 293.42/42.88 [16764] CLOSURE : ~left_apart_point(A39_1007_9, L40_1007_9)
% 293.42/42.88
% 293.42/42.88 [16604] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [16796] ~(left_apart_point(A39_1011_9, L40_1011_9) | left_apart_point(A39_1011_9, reverse_line(L40_1011_9)))
% 293.42/42.88
% 293.42/42.88 [16796] ALPHA_NOT_OR : ~(left_apart_point(A39_1011_9, L40_1011_9) | left_apart_point(A39_1011_9, reverse_line(L40_1011_9)))
% 293.42/42.88 -> [16799] ~left_apart_point(A39_1011_9, L40_1011_9), ~left_apart_point(A39_1011_9, reverse_line(L40_1011_9))
% 293.42/42.88
% 293.42/42.88 [16799] CLOSURE : ~left_apart_point(A39_1011_9, L40_1011_9)
% 293.42/42.88
% 293.42/42.88 [16600] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_523_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_523_8)))
% 293.42/42.88 -> [16663] ~unequally_directed_lines(skolem_N7979, M38_523_8)
% 293.42/42.88 -> [16664] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_523_8))
% 293.42/42.88
% 293.42/42.88 [16664] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_523_8))
% 293.42/42.88
% 293.42/42.88 [16663] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_523_8)
% 293.42/42.88
% 293.42/42.88 [16484] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.88 -> [16489] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 293.42/42.88 -> [16490] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [16490] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [16489] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [19789] ((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))))
% 293.42/42.88
% 293.42/42.88 [19789] 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))))
% 293.42/42.88 -> [19792] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [19793] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88
% 293.42/42.88 [19792] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [20472] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88 -> [20473] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [20473] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [20472] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88
% 293.42/42.88 [19793] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [21791] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88 -> [21792] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [21792] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [21902] ~(left_apart_point(A39_1667_9, L40_1667_9) | left_apart_point(A39_1667_9, reverse_line(L40_1667_9)))
% 293.42/42.88
% 293.42/42.88 [21902] ALPHA_NOT_OR : ~(left_apart_point(A39_1667_9, L40_1667_9) | left_apart_point(A39_1667_9, reverse_line(L40_1667_9)))
% 293.42/42.88 -> [21904] ~left_apart_point(A39_1667_9, L40_1667_9), ~left_apart_point(A39_1667_9, reverse_line(L40_1667_9))
% 293.42/42.88
% 293.42/42.88 [21904] CLOSURE : ~left_apart_point(A39_1667_9, L40_1667_9)
% 293.42/42.88
% 293.42/42.88 [21791] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [21930] ~(left_apart_point(A39_1669_9, L40_1669_9) | left_apart_point(A39_1669_9, reverse_line(L40_1669_9)))
% 293.42/42.88
% 293.42/42.88 [21930] ALPHA_NOT_OR : ~(left_apart_point(A39_1669_9, L40_1669_9) | left_apart_point(A39_1669_9, reverse_line(L40_1669_9)))
% 293.42/42.88 -> [21931] ~left_apart_point(A39_1669_9, L40_1669_9), ~left_apart_point(A39_1669_9, reverse_line(L40_1669_9))
% 293.42/42.88
% 293.42/42.88 [21931] CLOSURE : ~left_apart_point(A39_1669_9, L40_1669_9)
% 293.42/42.88
% 293.42/42.88 [1178] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.88 -> [1736] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.88
% 293.42/42.88 [1736] 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))))
% 293.42/42.88 -> [1761] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.88
% 293.42/42.88 [1761] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.88 -> [1762] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.88 -> [1763] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.88
% 293.42/42.88 [1762] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.88
% 293.42/42.88 [1763] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.88 -> [3803] distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.88 -> [3804] distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.88
% 293.42/42.88 [3804] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.88
% 293.42/42.88 [3803] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.88 -> [4999] ~distinct_lines(N27_139_3, N27_139_3)
% 293.42/42.88
% 293.42/42.88 [4999] 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))))
% 293.42/42.88 -> [5116] (distinct_lines(N27_139_3, N27_139_3) => (distinct_lines(N27_139_3, N27_139_3) | distinct_lines(N27_139_3, N27_139_3)))
% 293.42/42.88
% 293.42/42.88 [5116] BETA_IMPLY : (distinct_lines(N27_139_3, N27_139_3) => (distinct_lines(N27_139_3, N27_139_3) | distinct_lines(N27_139_3, N27_139_3)))
% 293.42/42.88 -> [5117] ~distinct_lines(N27_139_3, N27_139_3)
% 293.42/42.88 -> [5118] (distinct_lines(N27_139_3, N27_139_3) | distinct_lines(N27_139_3, N27_139_3))
% 293.42/42.88
% 293.42/42.88 [5118] BETA_OR : (distinct_lines(N27_139_3, N27_139_3) | distinct_lines(N27_139_3, N27_139_3))
% 293.42/42.88 -> [5542] distinct_lines(N27_139_3, N27_139_3)
% 293.42/42.88 -> [5543] distinct_lines(N27_139_3, N27_139_3)
% 293.42/42.88
% 293.42/42.88 [5542] CLOSURE : distinct_lines(N27_139_3, N27_139_3)
% 293.42/42.88
% 293.42/42.88 [5543] CLOSURE : distinct_lines(N27_139_3, N27_139_3)
% 293.42/42.88
% 293.42/42.88 [5117] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.88 -> [5251] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [5251] 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))))
% 293.42/42.88 -> [5426] (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))))
% 293.42/42.88
% 293.42/42.88 [5426] 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))))
% 293.42/42.88 -> [5427] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88 -> [5428] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.88
% 293.42/42.88 [5427] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [5428] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.88 -> [8386] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88 -> [8387] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [8387] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [8386] 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))))))
% 293.42/42.88 -> [15424] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_212_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_212_6))) | (unequally_directed_lines(skolem_N7979, N34_212_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_212_6)))))
% 293.42/42.88
% 293.42/42.88 [15424] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_212_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_212_6))) | (unequally_directed_lines(skolem_N7979, N34_212_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_212_6)))))
% 293.42/42.88 -> [15425] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [15426] ((unequally_directed_lines(skolem_M7878, N34_212_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_212_6))) | (unequally_directed_lines(skolem_N7979, N34_212_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_212_6))))
% 293.42/42.88
% 293.42/42.88 [15425] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [15488] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88 -> [15489] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [15489] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [15488] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88
% 293.42/42.88 [15426] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_212_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_212_6))) | (unequally_directed_lines(skolem_N7979, N34_212_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_212_6))))
% 293.42/42.88 -> [19058] (unequally_directed_lines(skolem_M7878, N34_212_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_212_6)))
% 293.42/42.88 -> [19059] (unequally_directed_lines(skolem_N7979, N34_212_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_212_6)))
% 293.42/42.88
% 293.42/42.88 [19059] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_212_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_212_6)))
% 293.42/42.88 -> [19060] unequally_directed_lines(skolem_N7979, N34_212_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_212_6))
% 293.42/42.88
% 293.42/42.88 [19060] 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)))))
% 293.42/42.88 -> [19358] ((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))))
% 293.42/42.88
% 293.42/42.88 [19358] 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))))
% 293.42/42.88 -> [19361] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.88 -> [19362] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.88
% 293.42/42.88 [19361] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.88 -> [19385] ~line(reverse_line(skolem_N7979))
% 293.42/42.88 -> [19386] ~line(skolem_N7979)
% 293.42/42.88
% 293.42/42.88 [19385] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [19455] ((unequally_directed_lines(skolem_N7979, M38_701_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_701_8))) => (left_convergent_lines(skolem_N7979, M38_701_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_701_8))))
% 293.42/42.88
% 293.42/42.88 [19455] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_701_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_701_8))) => (left_convergent_lines(skolem_N7979, M38_701_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_701_8))))
% 293.42/42.88 -> [19456] ~(unequally_directed_lines(skolem_N7979, M38_701_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_701_8)))
% 293.42/42.88 -> [19457] (left_convergent_lines(skolem_N7979, M38_701_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_701_8)))
% 293.42/42.88
% 293.42/42.88 [19456] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_701_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_701_8)))
% 293.42/42.88 -> [19487] ~unequally_directed_lines(skolem_N7979, M38_701_8)
% 293.42/42.88 -> [19488] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_701_8))
% 293.42/42.88
% 293.42/42.88 [19488] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_701_8))
% 293.42/42.88
% 293.42/42.88 [19487] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_701_8)
% 293.42/42.88
% 293.42/42.88 [19457] BETA_OR : (left_convergent_lines(skolem_N7979, M38_701_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_701_8)))
% 293.42/42.88 -> [19463] left_convergent_lines(skolem_N7979, M38_701_8)
% 293.42/42.88 -> [19464] left_convergent_lines(skolem_N7979, reverse_line(M38_701_8))
% 293.42/42.88
% 293.42/42.88 [19464] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [19527] ~(left_apart_point(A39_1360_9, L40_1360_9) | left_apart_point(A39_1360_9, reverse_line(L40_1360_9)))
% 293.42/42.88
% 293.42/42.88 [19527] ALPHA_NOT_OR : ~(left_apart_point(A39_1360_9, L40_1360_9) | left_apart_point(A39_1360_9, reverse_line(L40_1360_9)))
% 293.42/42.88 -> [19530] ~left_apart_point(A39_1360_9, L40_1360_9), ~left_apart_point(A39_1360_9, reverse_line(L40_1360_9))
% 293.42/42.88
% 293.42/42.88 [19530] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.88 -> [19659] ~(left_convergent_lines(L41_180_10, M42_180_10) | left_convergent_lines(L41_180_10, reverse_line(M42_180_10)))
% 293.42/42.88
% 293.42/42.88 [19659] ALPHA_NOT_OR : ~(left_convergent_lines(L41_180_10, M42_180_10) | left_convergent_lines(L41_180_10, reverse_line(M42_180_10)))
% 293.42/42.88 -> [19660] ~left_convergent_lines(L41_180_10, M42_180_10), ~left_convergent_lines(L41_180_10, reverse_line(M42_180_10))
% 293.42/42.88
% 293.42/42.88 [19660] CLOSURE : ~left_convergent_lines(L41_180_10, M42_180_10)
% 293.42/42.88
% 293.42/42.88 [19463] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [19547] ~(left_apart_point(A39_1363_9, L40_1363_9) | left_apart_point(A39_1363_9, reverse_line(L40_1363_9)))
% 293.42/42.88
% 293.42/42.88 [19547] ALPHA_NOT_OR : ~(left_apart_point(A39_1363_9, L40_1363_9) | left_apart_point(A39_1363_9, reverse_line(L40_1363_9)))
% 293.42/42.88 -> [19549] ~left_apart_point(A39_1363_9, L40_1363_9), ~left_apart_point(A39_1363_9, reverse_line(L40_1363_9))
% 293.42/42.88
% 293.42/42.88 [19549] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.88 -> [19679] ~(left_convergent_lines(L41_181_10, M42_181_10) | left_convergent_lines(L41_181_10, reverse_line(M42_181_10)))
% 293.42/42.88
% 293.42/42.88 [19679] ALPHA_NOT_OR : ~(left_convergent_lines(L41_181_10, M42_181_10) | left_convergent_lines(L41_181_10, reverse_line(M42_181_10)))
% 293.42/42.88 -> [19684] ~left_convergent_lines(L41_181_10, M42_181_10), ~left_convergent_lines(L41_181_10, reverse_line(M42_181_10))
% 293.42/42.88
% 293.42/42.88 [19684] CLOSURE : ~left_convergent_lines(L41_181_10, M42_181_10)
% 293.42/42.88
% 293.42/42.88 [19386] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [19432] ((unequally_directed_lines(skolem_N7979, M38_700_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_700_8))) => (left_convergent_lines(skolem_N7979, M38_700_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_700_8))))
% 293.42/42.88
% 293.42/42.88 [19432] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_700_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_700_8))) => (left_convergent_lines(skolem_N7979, M38_700_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_700_8))))
% 293.42/42.88 -> [19438] ~(unequally_directed_lines(skolem_N7979, M38_700_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_700_8)))
% 293.42/42.88 -> [19439] (left_convergent_lines(skolem_N7979, M38_700_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_700_8)))
% 293.42/42.88
% 293.42/42.88 [19438] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_700_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_700_8)))
% 293.42/42.88 -> [19469] ~unequally_directed_lines(skolem_N7979, M38_700_8)
% 293.42/42.88 -> [19470] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_700_8))
% 293.42/42.88
% 293.42/42.88 [19469] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_700_8)
% 293.42/42.88
% 293.42/42.88 [19470] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_700_8))
% 293.42/42.88
% 293.42/42.88 [19439] BETA_OR : (left_convergent_lines(skolem_N7979, M38_700_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_700_8)))
% 293.42/42.88 -> [19440] left_convergent_lines(skolem_N7979, M38_700_8)
% 293.42/42.88 -> [19441] left_convergent_lines(skolem_N7979, reverse_line(M38_700_8))
% 293.42/42.88
% 293.42/42.88 [19441] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [19515] ~(left_apart_point(A39_1357_9, L40_1357_9) | left_apart_point(A39_1357_9, reverse_line(L40_1357_9)))
% 293.42/42.88
% 293.42/42.88 [19515] ALPHA_NOT_OR : ~(left_apart_point(A39_1357_9, L40_1357_9) | left_apart_point(A39_1357_9, reverse_line(L40_1357_9)))
% 293.42/42.88 -> [19516] ~left_apart_point(A39_1357_9, L40_1357_9), ~left_apart_point(A39_1357_9, reverse_line(L40_1357_9))
% 293.42/42.88
% 293.42/42.88 [19516] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.88 -> [19645] ~(left_convergent_lines(L41_178_10, M42_178_10) | left_convergent_lines(L41_178_10, reverse_line(M42_178_10)))
% 293.42/42.88
% 293.42/42.88 [19645] ALPHA_NOT_OR : ~(left_convergent_lines(L41_178_10, M42_178_10) | left_convergent_lines(L41_178_10, reverse_line(M42_178_10)))
% 293.42/42.88 -> [19648] ~left_convergent_lines(L41_178_10, M42_178_10), ~left_convergent_lines(L41_178_10, reverse_line(M42_178_10))
% 293.42/42.88
% 293.42/42.88 [19648] CLOSURE : ~left_convergent_lines(L41_178_10, M42_178_10)
% 293.42/42.88
% 293.42/42.88 [19440] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [19535] ~(left_apart_point(A39_1361_9, L40_1361_9) | left_apart_point(A39_1361_9, reverse_line(L40_1361_9)))
% 293.42/42.88
% 293.42/42.88 [19535] ALPHA_NOT_OR : ~(left_apart_point(A39_1361_9, L40_1361_9) | left_apart_point(A39_1361_9, reverse_line(L40_1361_9)))
% 293.42/42.88 -> [19536] ~left_apart_point(A39_1361_9, L40_1361_9), ~left_apart_point(A39_1361_9, reverse_line(L40_1361_9))
% 293.42/42.88
% 293.42/42.88 [19536] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.88 -> [19708] ~(left_convergent_lines(L41_183_10, M42_183_10) | left_convergent_lines(L41_183_10, reverse_line(M42_183_10)))
% 293.42/42.88
% 293.42/42.88 [19708] ALPHA_NOT_OR : ~(left_convergent_lines(L41_183_10, M42_183_10) | left_convergent_lines(L41_183_10, reverse_line(M42_183_10)))
% 293.42/42.88 -> [19710] ~left_convergent_lines(L41_183_10, M42_183_10), ~left_convergent_lines(L41_183_10, reverse_line(M42_183_10))
% 293.42/42.88
% 293.42/42.88 [19710] CLOSURE : ~left_convergent_lines(L41_183_10, M42_183_10)
% 293.42/42.88
% 293.42/42.88 [19362] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.88 -> [19363] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 293.42/42.88 -> [19364] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [19364] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [19363] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [20523] ((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))))
% 293.42/42.88
% 293.42/42.88 [20523] 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))))
% 293.42/42.88 -> [20526] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [20527] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88
% 293.42/42.88 [20526] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [20533] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88 -> [20534] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [20534] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [20533] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88
% 293.42/42.88 [20527] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [20528] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88 -> [20529] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [20529] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [20552] ~(left_apart_point(A39_1499_9, L40_1499_9) | left_apart_point(A39_1499_9, reverse_line(L40_1499_9)))
% 293.42/42.88
% 293.42/42.88 [20552] ALPHA_NOT_OR : ~(left_apart_point(A39_1499_9, L40_1499_9) | left_apart_point(A39_1499_9, reverse_line(L40_1499_9)))
% 293.42/42.88 -> [20553] ~left_apart_point(A39_1499_9, L40_1499_9), ~left_apart_point(A39_1499_9, reverse_line(L40_1499_9))
% 293.42/42.88
% 293.42/42.88 [20553] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.88 -> [20588] ~(left_convergent_lines(L41_191_10, M42_191_10) | left_convergent_lines(L41_191_10, reverse_line(M42_191_10)))
% 293.42/42.88
% 293.42/42.88 [20588] ALPHA_NOT_OR : ~(left_convergent_lines(L41_191_10, M42_191_10) | left_convergent_lines(L41_191_10, reverse_line(M42_191_10)))
% 293.42/42.88 -> [20590] ~left_convergent_lines(L41_191_10, M42_191_10), ~left_convergent_lines(L41_191_10, reverse_line(M42_191_10))
% 293.42/42.88
% 293.42/42.88 [20590] CLOSURE : ~left_convergent_lines(L41_191_10, M42_191_10)
% 293.42/42.88
% 293.42/42.88 [20528] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [20556] ~(left_apart_point(A39_1500_9, L40_1500_9) | left_apart_point(A39_1500_9, reverse_line(L40_1500_9)))
% 293.42/42.88
% 293.42/42.88 [20556] ALPHA_NOT_OR : ~(left_apart_point(A39_1500_9, L40_1500_9) | left_apart_point(A39_1500_9, reverse_line(L40_1500_9)))
% 293.42/42.88 -> [20559] ~left_apart_point(A39_1500_9, L40_1500_9), ~left_apart_point(A39_1500_9, reverse_line(L40_1500_9))
% 293.42/42.88
% 293.42/42.88 [20559] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.88 -> [20596] ~(left_convergent_lines(L41_192_10, M42_192_10) | left_convergent_lines(L41_192_10, reverse_line(M42_192_10)))
% 293.42/42.88
% 293.42/42.88 [20596] ALPHA_NOT_OR : ~(left_convergent_lines(L41_192_10, M42_192_10) | left_convergent_lines(L41_192_10, reverse_line(M42_192_10)))
% 293.42/42.88 -> [20598] ~left_convergent_lines(L41_192_10, M42_192_10), ~left_convergent_lines(L41_192_10, reverse_line(M42_192_10))
% 293.42/42.88
% 293.42/42.88 [20598] CLOSURE : ~left_convergent_lines(L41_192_10, M42_192_10)
% 293.42/42.88
% 293.42/42.88 [19058] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_212_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_212_6)))
% 293.42/42.88 -> [19125] unequally_directed_lines(skolem_M7878, N34_212_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_212_6))
% 293.42/42.88
% 293.42/42.88 [19125] 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)))))
% 293.42/42.88 -> [19715] ((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)))))
% 293.42/42.88
% 293.42/42.88 [19715] 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)))))
% 293.42/42.88 -> [19718] ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.88 -> [19719] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))
% 293.42/42.88
% 293.42/42.88 [19718] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.88 -> [19731] ~line(skolem_L7777)
% 293.42/42.88 -> [19732] ~line(line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.88
% 293.42/42.88 [19732] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [19777] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.88
% 293.42/42.88 [19777] 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))))
% 293.42/42.88 -> [19779] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [19780] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88
% 293.42/42.88 [19779] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [19808] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88 -> [19809] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [19808] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [19809] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [19780] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [19784] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88 -> [19785] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [19785] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [19853] ~(left_apart_point(A39_1394_9, L40_1394_9) | left_apart_point(A39_1394_9, reverse_line(L40_1394_9)))
% 293.42/42.88
% 293.42/42.88 [19853] ALPHA_NOT_OR : ~(left_apart_point(A39_1394_9, L40_1394_9) | left_apart_point(A39_1394_9, reverse_line(L40_1394_9)))
% 293.42/42.88 -> [19855] ~left_apart_point(A39_1394_9, L40_1394_9), ~left_apart_point(A39_1394_9, reverse_line(L40_1394_9))
% 293.42/42.88
% 293.42/42.88 [19855] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.88 -> [20002] ~(left_convergent_lines(L41_184_10, M42_184_10) | left_convergent_lines(L41_184_10, reverse_line(M42_184_10)))
% 293.42/42.88
% 293.42/42.88 [20002] ALPHA_NOT_OR : ~(left_convergent_lines(L41_184_10, M42_184_10) | left_convergent_lines(L41_184_10, reverse_line(M42_184_10)))
% 293.42/42.88 -> [20005] ~left_convergent_lines(L41_184_10, M42_184_10), ~left_convergent_lines(L41_184_10, reverse_line(M42_184_10))
% 293.42/42.88
% 293.42/42.88 [20005] CLOSURE : ~left_convergent_lines(L41_184_10, M42_184_10)
% 293.42/42.88
% 293.42/42.88 [19784] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [19885] ~(left_apart_point(A39_1399_9, L40_1399_9) | left_apart_point(A39_1399_9, reverse_line(L40_1399_9)))
% 293.42/42.88
% 293.42/42.88 [19885] ALPHA_NOT_OR : ~(left_apart_point(A39_1399_9, L40_1399_9) | left_apart_point(A39_1399_9, reverse_line(L40_1399_9)))
% 293.42/42.88 -> [19889] ~left_apart_point(A39_1399_9, L40_1399_9), ~left_apart_point(A39_1399_9, reverse_line(L40_1399_9))
% 293.42/42.88
% 293.42/42.88 [19889] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.88 -> [20043] ~(left_convergent_lines(L41_186_10, M42_186_10) | left_convergent_lines(L41_186_10, reverse_line(M42_186_10)))
% 293.42/42.88
% 293.42/42.88 [20043] ALPHA_NOT_OR : ~(left_convergent_lines(L41_186_10, M42_186_10) | left_convergent_lines(L41_186_10, reverse_line(M42_186_10)))
% 293.42/42.88 -> [20044] ~left_convergent_lines(L41_186_10, M42_186_10), ~left_convergent_lines(L41_186_10, reverse_line(M42_186_10))
% 293.42/42.88
% 293.42/42.88 [20044] CLOSURE : ~left_convergent_lines(L41_186_10, M42_186_10)
% 293.42/42.88
% 293.42/42.88 [19731] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [19796] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.88
% 293.42/42.88 [19796] 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))))
% 293.42/42.88 -> [19798] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [19799] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88
% 293.42/42.88 [19798] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [19816] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88 -> [19817] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [19817] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [19816] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [19799] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [19801] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88 -> [19802] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [19802] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [19869] ~(left_apart_point(A39_1397_9, L40_1397_9) | left_apart_point(A39_1397_9, reverse_line(L40_1397_9)))
% 293.42/42.88
% 293.42/42.88 [19869] ALPHA_NOT_OR : ~(left_apart_point(A39_1397_9, L40_1397_9) | left_apart_point(A39_1397_9, reverse_line(L40_1397_9)))
% 293.42/42.88 -> [19870] ~left_apart_point(A39_1397_9, L40_1397_9), ~left_apart_point(A39_1397_9, reverse_line(L40_1397_9))
% 293.42/42.88
% 293.42/42.88 [19870] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.88 -> [20029] ~(left_convergent_lines(L41_185_10, M42_185_10) | left_convergent_lines(L41_185_10, reverse_line(M42_185_10)))
% 293.42/42.88
% 293.42/42.88 [20029] ALPHA_NOT_OR : ~(left_convergent_lines(L41_185_10, M42_185_10) | left_convergent_lines(L41_185_10, reverse_line(M42_185_10)))
% 293.42/42.88 -> [20034] ~left_convergent_lines(L41_185_10, M42_185_10), ~left_convergent_lines(L41_185_10, reverse_line(M42_185_10))
% 293.42/42.88
% 293.42/42.88 [20034] CLOSURE : ~left_convergent_lines(L41_185_10, M42_185_10)
% 293.42/42.88
% 293.42/42.88 [19801] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [19924] ~(left_apart_point(A39_1404_9, L40_1404_9) | left_apart_point(A39_1404_9, reverse_line(L40_1404_9)))
% 293.42/42.88
% 293.42/42.88 [19924] ALPHA_NOT_OR : ~(left_apart_point(A39_1404_9, L40_1404_9) | left_apart_point(A39_1404_9, reverse_line(L40_1404_9)))
% 293.42/42.88 -> [19926] ~left_apart_point(A39_1404_9, L40_1404_9), ~left_apart_point(A39_1404_9, reverse_line(L40_1404_9))
% 293.42/42.88
% 293.42/42.88 [19926] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.88 -> [20190] ~(left_convergent_lines(L41_187_10, M42_187_10) | left_convergent_lines(L41_187_10, reverse_line(M42_187_10)))
% 293.42/42.88
% 293.42/42.88 [20190] ALPHA_NOT_OR : ~(left_convergent_lines(L41_187_10, M42_187_10) | left_convergent_lines(L41_187_10, reverse_line(M42_187_10)))
% 293.42/42.88 -> [20191] ~left_convergent_lines(L41_187_10, M42_187_10), ~left_convergent_lines(L41_187_10, reverse_line(M42_187_10))
% 293.42/42.88
% 293.42/42.88 [20191] CLOSURE : ~left_convergent_lines(L41_187_10, M42_187_10)
% 293.42/42.88
% 293.42/42.88 [19719] 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))))
% 293.42/42.88 -> [19720] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.88 -> [19721] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.88
% 293.42/42.88 [19720] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.88
% 293.42/42.88 [19721] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [22252] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.88
% 293.42/42.88 [22252] 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))))
% 293.42/42.88 -> [22255] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [22256] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88
% 293.42/42.88 [22255] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [22268] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88 -> [22269] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [22269] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [22268] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [22256] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [22261] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88 -> [22262] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [22262] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [22376] ~(left_apart_point(A39_1732_9, L40_1732_9) | left_apart_point(A39_1732_9, reverse_line(L40_1732_9)))
% 293.42/42.88
% 293.42/42.88 [22376] ALPHA_NOT_OR : ~(left_apart_point(A39_1732_9, L40_1732_9) | left_apart_point(A39_1732_9, reverse_line(L40_1732_9)))
% 293.42/42.88 -> [22378] ~left_apart_point(A39_1732_9, L40_1732_9), ~left_apart_point(A39_1732_9, reverse_line(L40_1732_9))
% 293.42/42.88
% 293.42/42.88 [22378] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.88 -> [22468] ~(left_convergent_lines(L41_220_10, M42_220_10) | left_convergent_lines(L41_220_10, reverse_line(M42_220_10)))
% 293.42/42.88
% 293.42/42.88 [22468] ALPHA_NOT_OR : ~(left_convergent_lines(L41_220_10, M42_220_10) | left_convergent_lines(L41_220_10, reverse_line(M42_220_10)))
% 293.42/42.88 -> [22471] ~left_convergent_lines(L41_220_10, M42_220_10), ~left_convergent_lines(L41_220_10, reverse_line(M42_220_10))
% 293.42/42.88
% 293.42/42.88 [22471] CLOSURE : ~left_convergent_lines(L41_220_10, M42_220_10)
% 293.42/42.88
% 293.42/42.88 [22261] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [22405] ~(left_apart_point(A39_1738_9, L40_1738_9) | left_apart_point(A39_1738_9, reverse_line(L40_1738_9)))
% 293.42/42.88
% 293.42/42.88 [22405] ALPHA_NOT_OR : ~(left_apart_point(A39_1738_9, L40_1738_9) | left_apart_point(A39_1738_9, reverse_line(L40_1738_9)))
% 293.42/42.88 -> [22406] ~left_apart_point(A39_1738_9, L40_1738_9), ~left_apart_point(A39_1738_9, reverse_line(L40_1738_9))
% 293.42/42.88
% 293.42/42.88 [22406] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.88 -> [22490] ~(left_convergent_lines(L41_221_10, M42_221_10) | left_convergent_lines(L41_221_10, reverse_line(M42_221_10)))
% 293.42/42.88
% 293.42/42.88 [22490] ALPHA_NOT_OR : ~(left_convergent_lines(L41_221_10, M42_221_10) | left_convergent_lines(L41_221_10, reverse_line(M42_221_10)))
% 293.42/42.88 -> [22495] ~left_convergent_lines(L41_221_10, M42_221_10), ~left_convergent_lines(L41_221_10, reverse_line(M42_221_10))
% 293.42/42.88
% 293.42/42.88 [22495] CLOSURE : ~left_convergent_lines(L41_221_10, M42_221_10)
% 293.42/42.88
% 293.42/42.88 [645] 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)))
% 293.42/42.88 -> [657] (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)))
% 293.42/42.88
% 293.42/42.88 [657] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.88 -> [668] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))
% 293.42/42.88 -> [669] ~~(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)))
% 293.42/42.88
% 293.42/42.88 [669] 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)))
% 293.42/42.88 -> [680] (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)))
% 293.42/42.88
% 293.42/42.88 [680] 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)))
% 293.42/42.88 -> [684] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 293.42/42.88 -> [685] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [685] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.88 -> [1881] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.88
% 293.42/42.88 [1881] 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))))
% 293.42/42.88 -> [3196] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.88
% 293.42/42.88 [3196] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.88 -> [3197] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.88 -> [3198] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.88
% 293.42/42.88 [3197] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.88
% 293.42/42.88 [3198] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.88 -> [3875] distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.88 -> [3876] distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.88
% 293.42/42.88 [3876] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.88
% 293.42/42.88 [3875] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.88 -> [4373] ~distinct_lines(N27_108_3, N27_108_3)
% 293.42/42.88
% 293.42/42.88 [4373] 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))))
% 293.42/42.88 -> [4439] (distinct_lines(N27_108_3, N27_108_3) => (distinct_lines(N27_108_3, N27_108_3) | distinct_lines(N27_108_3, N27_108_3)))
% 293.42/42.88
% 293.42/42.88 [4439] 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)))
% 293.42/42.88 -> [4440] ~distinct_lines(N27_108_3, N27_108_3)
% 293.42/42.88 -> [4441] (distinct_lines(N27_108_3, N27_108_3) | distinct_lines(N27_108_3, N27_108_3))
% 293.42/42.88
% 293.42/42.88 [4441] BETA_OR : (distinct_lines(N27_108_3, N27_108_3) | distinct_lines(N27_108_3, N27_108_3))
% 293.42/42.88 -> [4444] distinct_lines(N27_108_3, N27_108_3)
% 293.42/42.88 -> [4445] distinct_lines(N27_108_3, N27_108_3)
% 293.42/42.88
% 293.42/42.88 [4445] CLOSURE : distinct_lines(N27_108_3, N27_108_3)
% 293.42/42.88
% 293.42/42.88 [4444] CLOSURE : distinct_lines(N27_108_3, N27_108_3)
% 293.42/42.88
% 293.42/42.88 [4440] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.88 -> [4560] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [4560] 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))))
% 293.42/42.88 -> [4576] (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))))
% 293.42/42.88
% 293.42/42.88 [4576] 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))))
% 293.42/42.88 -> [4577] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88 -> [4578] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.88
% 293.42/42.88 [4577] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [4578] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.88 -> [4758] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88 -> [4759] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [4759] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [4758] 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))))))
% 293.42/42.88 -> [4784] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_17_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_17_6))) | (unequally_directed_lines(skolem_N7979, N34_17_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_17_6)))))
% 293.42/42.88
% 293.42/42.88 [4784] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_17_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_17_6))) | (unequally_directed_lines(skolem_N7979, N34_17_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_17_6)))))
% 293.42/42.88 -> [4785] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [4786] ((unequally_directed_lines(skolem_M7878, N34_17_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_17_6))) | (unequally_directed_lines(skolem_N7979, N34_17_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_17_6))))
% 293.42/42.88
% 293.42/42.88 [4785] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [4793] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88 -> [4794] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [4794] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [4793] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88
% 293.42/42.88 [4786] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_17_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_17_6))) | (unequally_directed_lines(skolem_N7979, N34_17_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_17_6))))
% 293.42/42.88 -> [7407] (unequally_directed_lines(skolem_M7878, N34_17_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_17_6)))
% 293.42/42.88 -> [7408] (unequally_directed_lines(skolem_N7979, N34_17_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_17_6)))
% 293.42/42.88
% 293.42/42.88 [7407] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_17_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_17_6)))
% 293.42/42.88 -> [7441] unequally_directed_lines(skolem_M7878, N34_17_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_17_6))
% 293.42/42.88
% 293.42/42.88 [7441] 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)))))
% 293.42/42.88 -> [7557] ((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)))))
% 293.42/42.88
% 293.42/42.88 [7557] 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)))))
% 293.42/42.88 -> [7558] ~(line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181)))
% 293.42/42.88 -> [7559] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 293.42/42.88
% 293.42/42.88 [7558] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181)))
% 293.42/42.88 -> [7586] ~line(skolem_L7777)
% 293.42/42.88 -> [7587] ~line(line_connecting(skolem_C8282, skolem_B8181))
% 293.42/42.88
% 293.42/42.88 [7586] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [7701] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.88
% 293.42/42.88 [7701] 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))))
% 293.42/42.88 -> [7702] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [7703] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88
% 293.42/42.88 [7703] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [7709] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88 -> [7710] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [7710] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [7839] ~(left_apart_point(A39_129_9, L40_129_9) | left_apart_point(A39_129_9, reverse_line(L40_129_9)))
% 293.42/42.88
% 293.42/42.88 [7839] ALPHA_NOT_OR : ~(left_apart_point(A39_129_9, L40_129_9) | left_apart_point(A39_129_9, reverse_line(L40_129_9)))
% 293.42/42.88 -> [7840] ~left_apart_point(A39_129_9, L40_129_9), ~left_apart_point(A39_129_9, reverse_line(L40_129_9))
% 293.42/42.88
% 293.42/42.88 [7840] CLOSURE : ~left_apart_point(A39_129_9, L40_129_9)
% 293.42/42.88
% 293.42/42.88 [7709] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [7861] ~(left_apart_point(A39_134_9, L40_134_9) | left_apart_point(A39_134_9, reverse_line(L40_134_9)))
% 293.42/42.88
% 293.42/42.88 [7861] ALPHA_NOT_OR : ~(left_apart_point(A39_134_9, L40_134_9) | left_apart_point(A39_134_9, reverse_line(L40_134_9)))
% 293.42/42.88 -> [7862] ~left_apart_point(A39_134_9, L40_134_9), ~left_apart_point(A39_134_9, reverse_line(L40_134_9))
% 293.42/42.88
% 293.42/42.88 [7862] CLOSURE : ~left_apart_point(A39_134_9, L40_134_9)
% 293.42/42.88
% 293.42/42.88 [7702] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [7770] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88 -> [7771] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [7771] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [7770] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [7587] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [7717] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.88
% 293.42/42.88 [7717] 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))))
% 293.42/42.88 -> [7722] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [7723] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88
% 293.42/42.88 [7723] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [7726] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88 -> [7727] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [7727] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [7845] ~(left_apart_point(A39_131_9, L40_131_9) | left_apart_point(A39_131_9, reverse_line(L40_131_9)))
% 293.42/42.88
% 293.42/42.88 [7845] ALPHA_NOT_OR : ~(left_apart_point(A39_131_9, L40_131_9) | left_apart_point(A39_131_9, reverse_line(L40_131_9)))
% 293.42/42.88 -> [7846] ~left_apart_point(A39_131_9, L40_131_9), ~left_apart_point(A39_131_9, reverse_line(L40_131_9))
% 293.42/42.88
% 293.42/42.88 [7846] CLOSURE : ~left_apart_point(A39_131_9, L40_131_9)
% 293.42/42.88
% 293.42/42.88 [7726] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [7865] ~(left_apart_point(A39_136_9, L40_136_9) | left_apart_point(A39_136_9, reverse_line(L40_136_9)))
% 293.42/42.88
% 293.42/42.88 [7865] ALPHA_NOT_OR : ~(left_apart_point(A39_136_9, L40_136_9) | left_apart_point(A39_136_9, reverse_line(L40_136_9)))
% 293.42/42.88 -> [7866] ~left_apart_point(A39_136_9, L40_136_9), ~left_apart_point(A39_136_9, reverse_line(L40_136_9))
% 293.42/42.88
% 293.42/42.88 [7866] CLOSURE : ~left_apart_point(A39_136_9, L40_136_9)
% 293.42/42.88
% 293.42/42.88 [7722] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [7779] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88 -> [7780] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [7780] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [7779] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [7559] 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))))
% 293.42/42.88 -> [7560] unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 293.42/42.88 -> [7561] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))
% 293.42/42.88
% 293.42/42.88 [7560] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 293.42/42.88
% 293.42/42.88 [7561] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [8388] ((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))))
% 293.42/42.88
% 293.42/42.88 [8388] 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))))
% 293.42/42.88 -> [8389] ~(unequally_directed_lines(skolem_L7777, skolem_N7979) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [8390] (left_convergent_lines(skolem_L7777, skolem_N7979) | left_convergent_lines(skolem_L7777, reverse_line(skolem_N7979)))
% 293.42/42.88
% 293.42/42.88 [8389] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_N7979) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [8456] ~unequally_directed_lines(skolem_L7777, skolem_N7979)
% 293.42/42.88 -> [8457] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [8456] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_N7979)
% 293.42/42.88
% 293.42/42.88 [8457] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [8390] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_N7979) | left_convergent_lines(skolem_L7777, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [8396] left_convergent_lines(skolem_L7777, skolem_N7979)
% 293.42/42.88 -> [8397] left_convergent_lines(skolem_L7777, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [8396] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [8819] ~(left_apart_point(A39_179_9, L40_179_9) | left_apart_point(A39_179_9, reverse_line(L40_179_9)))
% 293.42/42.88
% 293.42/42.88 [8819] ALPHA_NOT_OR : ~(left_apart_point(A39_179_9, L40_179_9) | left_apart_point(A39_179_9, reverse_line(L40_179_9)))
% 293.42/42.88 -> [8823] ~left_apart_point(A39_179_9, L40_179_9), ~left_apart_point(A39_179_9, reverse_line(L40_179_9))
% 293.42/42.88
% 293.42/42.88 [8823] CLOSURE : ~left_apart_point(A39_179_9, L40_179_9)
% 293.42/42.88
% 293.42/42.88 [8397] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [9009] ~(left_apart_point(A39_198_9, L40_198_9) | left_apart_point(A39_198_9, reverse_line(L40_198_9)))
% 293.42/42.88
% 293.42/42.88 [9009] ALPHA_NOT_OR : ~(left_apart_point(A39_198_9, L40_198_9) | left_apart_point(A39_198_9, reverse_line(L40_198_9)))
% 293.42/42.88 -> [9010] ~left_apart_point(A39_198_9, L40_198_9), ~left_apart_point(A39_198_9, reverse_line(L40_198_9))
% 293.42/42.88
% 293.42/42.88 [9010] CLOSURE : ~left_apart_point(A39_198_9, L40_198_9)
% 293.42/42.88
% 293.42/42.88 [7408] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_17_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_17_6)))
% 293.42/42.88 -> [7418] unequally_directed_lines(skolem_N7979, N34_17_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_17_6))
% 293.42/42.88
% 293.42/42.88 [7418] 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)))))
% 293.42/42.88 -> [7545] ((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))))
% 293.42/42.88
% 293.42/42.88 [7545] 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))))
% 293.42/42.88 -> [7546] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.88 -> [7547] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.88
% 293.42/42.88 [7546] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.88 -> [7565] ~line(reverse_line(skolem_N7979))
% 293.42/42.88 -> [7566] ~line(skolem_N7979)
% 293.42/42.88
% 293.42/42.88 [7565] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [7674] ((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))))
% 293.42/42.88
% 293.42/42.88 [7674] 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))))
% 293.42/42.88 -> [7675] ~(unequally_directed_lines(skolem_N7979, M38_65_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_65_8)))
% 293.42/42.88 -> [7676] (left_convergent_lines(skolem_N7979, M38_65_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_65_8)))
% 293.42/42.88
% 293.42/42.88 [7675] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_65_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_65_8)))
% 293.42/42.88 -> [7735] ~unequally_directed_lines(skolem_N7979, M38_65_8)
% 293.42/42.88 -> [7736] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_65_8))
% 293.42/42.88
% 293.42/42.88 [7736] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_65_8))
% 293.42/42.88
% 293.42/42.88 [7735] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_65_8)
% 293.42/42.88
% 293.42/42.88 [7676] BETA_OR : (left_convergent_lines(skolem_N7979, M38_65_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_65_8)))
% 293.42/42.88 -> [7677] left_convergent_lines(skolem_N7979, M38_65_8)
% 293.42/42.88 -> [7678] left_convergent_lines(skolem_N7979, reverse_line(M38_65_8))
% 293.42/42.88
% 293.42/42.88 [7678] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [7820] ~(left_apart_point(A39_126_9, L40_126_9) | left_apart_point(A39_126_9, reverse_line(L40_126_9)))
% 293.42/42.88
% 293.42/42.88 [7820] ALPHA_NOT_OR : ~(left_apart_point(A39_126_9, L40_126_9) | left_apart_point(A39_126_9, reverse_line(L40_126_9)))
% 293.42/42.88 -> [7823] ~left_apart_point(A39_126_9, L40_126_9), ~left_apart_point(A39_126_9, reverse_line(L40_126_9))
% 293.42/42.88
% 293.42/42.88 [7823] CLOSURE : ~left_apart_point(A39_126_9, L40_126_9)
% 293.42/42.88
% 293.42/42.88 [7677] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [7872] ~(left_apart_point(A39_137_9, L40_137_9) | left_apart_point(A39_137_9, reverse_line(L40_137_9)))
% 293.42/42.88
% 293.42/42.88 [7872] ALPHA_NOT_OR : ~(left_apart_point(A39_137_9, L40_137_9) | left_apart_point(A39_137_9, reverse_line(L40_137_9)))
% 293.42/42.88 -> [7875] ~left_apart_point(A39_137_9, L40_137_9), ~left_apart_point(A39_137_9, reverse_line(L40_137_9))
% 293.42/42.88
% 293.42/42.88 [7875] CLOSURE : ~left_apart_point(A39_137_9, L40_137_9)
% 293.42/42.88
% 293.42/42.88 [7566] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [7682] ((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))))
% 293.42/42.88
% 293.42/42.88 [7682] 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))))
% 293.42/42.88 -> [7685] ~(unequally_directed_lines(skolem_N7979, M38_66_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_66_8)))
% 293.42/42.88 -> [7686] (left_convergent_lines(skolem_N7979, M38_66_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_66_8)))
% 293.42/42.88
% 293.42/42.88 [7686] BETA_OR : (left_convergent_lines(skolem_N7979, M38_66_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_66_8)))
% 293.42/42.88 -> [7689] left_convergent_lines(skolem_N7979, M38_66_8)
% 293.42/42.88 -> [7690] left_convergent_lines(skolem_N7979, reverse_line(M38_66_8))
% 293.42/42.88
% 293.42/42.88 [7690] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [7833] ~(left_apart_point(A39_128_9, L40_128_9) | left_apart_point(A39_128_9, reverse_line(L40_128_9)))
% 293.42/42.88
% 293.42/42.88 [7833] ALPHA_NOT_OR : ~(left_apart_point(A39_128_9, L40_128_9) | left_apart_point(A39_128_9, reverse_line(L40_128_9)))
% 293.42/42.88 -> [7834] ~left_apart_point(A39_128_9, L40_128_9), ~left_apart_point(A39_128_9, reverse_line(L40_128_9))
% 293.42/42.88
% 293.42/42.88 [7834] CLOSURE : ~left_apart_point(A39_128_9, L40_128_9)
% 293.42/42.88
% 293.42/42.88 [7689] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [7847] ~(left_apart_point(A39_132_9, L40_132_9) | left_apart_point(A39_132_9, reverse_line(L40_132_9)))
% 293.42/42.88
% 293.42/42.88 [7847] ALPHA_NOT_OR : ~(left_apart_point(A39_132_9, L40_132_9) | left_apart_point(A39_132_9, reverse_line(L40_132_9)))
% 293.42/42.88 -> [7848] ~left_apart_point(A39_132_9, L40_132_9), ~left_apart_point(A39_132_9, reverse_line(L40_132_9))
% 293.42/42.88
% 293.42/42.88 [7848] CLOSURE : ~left_apart_point(A39_132_9, L40_132_9)
% 293.42/42.88
% 293.42/42.88 [7685] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_66_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_66_8)))
% 293.42/42.88 -> [7745] ~unequally_directed_lines(skolem_N7979, M38_66_8)
% 293.42/42.88 -> [7746] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_66_8))
% 293.42/42.88
% 293.42/42.88 [7746] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_66_8))
% 293.42/42.88
% 293.42/42.88 [7745] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_66_8)
% 293.42/42.88
% 293.42/42.88 [7547] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.88 -> [7548] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 293.42/42.88 -> [7549] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [7549] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [7548] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [9251] ((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))))
% 293.42/42.88
% 293.42/42.88 [9251] 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))))
% 293.42/42.88 -> [9252] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [9253] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88
% 293.42/42.88 [9252] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [9264] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88 -> [9265] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [9265] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [9264] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88
% 293.42/42.88 [9253] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [9256] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88 -> [9257] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [9256] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [11437] ~(left_apart_point(A39_424_9, L40_424_9) | left_apart_point(A39_424_9, reverse_line(L40_424_9)))
% 293.42/42.88
% 293.42/42.88 [11437] ALPHA_NOT_OR : ~(left_apart_point(A39_424_9, L40_424_9) | left_apart_point(A39_424_9, reverse_line(L40_424_9)))
% 293.42/42.88 -> [11440] ~left_apart_point(A39_424_9, L40_424_9), ~left_apart_point(A39_424_9, reverse_line(L40_424_9))
% 293.42/42.88
% 293.42/42.88 [11440] CLOSURE : ~left_apart_point(A39_424_9, L40_424_9)
% 293.42/42.88
% 293.42/42.88 [9257] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [11494] ~(left_apart_point(A39_425_9, L40_425_9) | left_apart_point(A39_425_9, reverse_line(L40_425_9)))
% 293.42/42.88
% 293.42/42.88 [11494] ALPHA_NOT_OR : ~(left_apart_point(A39_425_9, L40_425_9) | left_apart_point(A39_425_9, reverse_line(L40_425_9)))
% 293.42/42.88 -> [11495] ~left_apart_point(A39_425_9, L40_425_9), ~left_apart_point(A39_425_9, reverse_line(L40_425_9))
% 293.42/42.88
% 293.42/42.88 [11495] CLOSURE : ~left_apart_point(A39_425_9, L40_425_9)
% 293.42/42.88
% 293.42/42.88 [684] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.88 -> [1773] ~distinct_points(B22_163_1, B22_163_1)
% 293.42/42.88
% 293.42/42.88 [1773] 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))))
% 293.42/42.88 -> [1851] (distinct_points(B22_163_1, B22_163_1) => (distinct_points(B22_163_1, B22_163_1) | distinct_points(B22_163_1, B22_163_1)))
% 293.42/42.88
% 293.42/42.88 [1851] BETA_IMPLY : (distinct_points(B22_163_1, B22_163_1) => (distinct_points(B22_163_1, B22_163_1) | distinct_points(B22_163_1, B22_163_1)))
% 293.42/42.88 -> [1853] ~distinct_points(B22_163_1, B22_163_1)
% 293.42/42.88 -> [1854] (distinct_points(B22_163_1, B22_163_1) | distinct_points(B22_163_1, B22_163_1))
% 293.42/42.88
% 293.42/42.88 [1854] BETA_OR : (distinct_points(B22_163_1, B22_163_1) | distinct_points(B22_163_1, B22_163_1))
% 293.42/42.88 -> [1859] distinct_points(B22_163_1, B22_163_1)
% 293.42/42.88 -> [1860] distinct_points(B22_163_1, B22_163_1)
% 293.42/42.88
% 293.42/42.88 [1859] CLOSURE : distinct_points(B22_163_1, B22_163_1)
% 293.42/42.88
% 293.42/42.88 [1860] CLOSURE : distinct_points(B22_163_1, B22_163_1)
% 293.42/42.88
% 293.42/42.88 [1853] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.88 -> [3231] ~distinct_lines(L25_47_3, L25_47_3)
% 293.42/42.88
% 293.42/42.88 [3231] 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))))
% 293.42/42.88 -> [3272] (distinct_lines(L25_47_3, L25_47_3) => (distinct_lines(L25_47_3, L25_47_3) | distinct_lines(L25_47_3, L25_47_3)))
% 293.42/42.88
% 293.42/42.88 [3272] BETA_IMPLY : (distinct_lines(L25_47_3, L25_47_3) => (distinct_lines(L25_47_3, L25_47_3) | distinct_lines(L25_47_3, L25_47_3)))
% 293.42/42.88 -> [3275] ~distinct_lines(L25_47_3, L25_47_3)
% 293.42/42.88 -> [3276] (distinct_lines(L25_47_3, L25_47_3) | distinct_lines(L25_47_3, L25_47_3))
% 293.42/42.88
% 293.42/42.88 [3276] BETA_OR : (distinct_lines(L25_47_3, L25_47_3) | distinct_lines(L25_47_3, L25_47_3))
% 293.42/42.88 -> [3277] distinct_lines(L25_47_3, L25_47_3)
% 293.42/42.88 -> [3278] distinct_lines(L25_47_3, L25_47_3)
% 293.42/42.88
% 293.42/42.88 [3278] CLOSURE : distinct_lines(L25_47_3, L25_47_3)
% 293.42/42.88
% 293.42/42.88 [3277] CLOSURE : distinct_lines(L25_47_3, L25_47_3)
% 293.42/42.88
% 293.42/42.88 [3275] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.88 -> [3352] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [3352] 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))))
% 293.42/42.88 -> [3517] (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))))
% 293.42/42.88
% 293.42/42.88 [3517] 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))))
% 293.42/42.88 -> [3518] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88 -> [3519] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.88
% 293.42/42.88 [3518] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [3519] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.88 -> [6360] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88 -> [6361] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [6361] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [6360] 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))))))
% 293.42/42.88 -> [8048] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_75_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_75_6))) | (unequally_directed_lines(skolem_N7979, N34_75_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_75_6)))))
% 293.42/42.88
% 293.42/42.88 [8048] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_75_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_75_6))) | (unequally_directed_lines(skolem_N7979, N34_75_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_75_6)))))
% 293.42/42.88 -> [8054] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [8055] ((unequally_directed_lines(skolem_M7878, N34_75_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_75_6))) | (unequally_directed_lines(skolem_N7979, N34_75_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_75_6))))
% 293.42/42.88
% 293.42/42.88 [8054] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [8089] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88 -> [8090] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [8090] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [8089] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88
% 293.42/42.88 [8055] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_75_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_75_6))) | (unequally_directed_lines(skolem_N7979, N34_75_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_75_6))))
% 293.42/42.88 -> [13224] (unequally_directed_lines(skolem_M7878, N34_75_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_75_6)))
% 293.42/42.88 -> [13225] (unequally_directed_lines(skolem_N7979, N34_75_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_75_6)))
% 293.42/42.88
% 293.42/42.88 [13224] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_75_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_75_6)))
% 293.42/42.88 -> [13245] unequally_directed_lines(skolem_M7878, N34_75_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_75_6))
% 293.42/42.88
% 293.42/42.88 [13245] 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)))))
% 293.42/42.88 -> [13353] ((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))))
% 293.42/42.88
% 293.42/42.88 [13353] 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))))
% 293.42/42.88 -> [13355] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.88 -> [13356] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.88
% 293.42/42.88 [13355] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.88 -> [13408] ~line(reverse_line(skolem_N7979))
% 293.42/42.88 -> [13409] ~line(skolem_N7979)
% 293.42/42.88
% 293.42/42.88 [13409] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [13528] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.88
% 293.42/42.88 [13528] 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))))
% 293.42/42.88 -> [13532] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [13533] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88
% 293.42/42.88 [13533] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [13538] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88 -> [13539] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [13539] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [13673] ~(left_apart_point(A39_641_9, L40_641_9) | left_apart_point(A39_641_9, reverse_line(L40_641_9)))
% 293.42/42.88
% 293.42/42.88 [13673] ALPHA_NOT_OR : ~(left_apart_point(A39_641_9, L40_641_9) | left_apart_point(A39_641_9, reverse_line(L40_641_9)))
% 293.42/42.88 -> [13677] ~left_apart_point(A39_641_9, L40_641_9), ~left_apart_point(A39_641_9, reverse_line(L40_641_9))
% 293.42/42.88
% 293.42/42.88 [13677] CLOSURE : ~left_apart_point(A39_641_9, L40_641_9)
% 293.42/42.88
% 293.42/42.88 [13538] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [13711] ~(left_apart_point(A39_646_9, L40_646_9) | left_apart_point(A39_646_9, reverse_line(L40_646_9)))
% 293.42/42.88
% 293.42/42.88 [13711] ALPHA_NOT_OR : ~(left_apart_point(A39_646_9, L40_646_9) | left_apart_point(A39_646_9, reverse_line(L40_646_9)))
% 293.42/42.88 -> [13712] ~left_apart_point(A39_646_9, L40_646_9), ~left_apart_point(A39_646_9, reverse_line(L40_646_9))
% 293.42/42.88
% 293.42/42.88 [13712] CLOSURE : ~left_apart_point(A39_646_9, L40_646_9)
% 293.42/42.88
% 293.42/42.88 [13532] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [13568] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88 -> [13569] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [13569] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [13568] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [13408] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [13553] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.88
% 293.42/42.88 [13553] 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))))
% 293.42/42.88 -> [13554] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [13555] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88
% 293.42/42.88 [13555] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [13562] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88 -> [13563] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [13563] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [13703] ~(left_apart_point(A39_645_9, L40_645_9) | left_apart_point(A39_645_9, reverse_line(L40_645_9)))
% 293.42/42.88
% 293.42/42.88 [13703] ALPHA_NOT_OR : ~(left_apart_point(A39_645_9, L40_645_9) | left_apart_point(A39_645_9, reverse_line(L40_645_9)))
% 293.42/42.88 -> [13706] ~left_apart_point(A39_645_9, L40_645_9), ~left_apart_point(A39_645_9, reverse_line(L40_645_9))
% 293.42/42.88
% 293.42/42.88 [13706] CLOSURE : ~left_apart_point(A39_645_9, L40_645_9)
% 293.42/42.88
% 293.42/42.88 [13562] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [13754] ~(left_apart_point(A39_653_9, L40_653_9) | left_apart_point(A39_653_9, reverse_line(L40_653_9)))
% 293.42/42.88
% 293.42/42.88 [13754] ALPHA_NOT_OR : ~(left_apart_point(A39_653_9, L40_653_9) | left_apart_point(A39_653_9, reverse_line(L40_653_9)))
% 293.42/42.88 -> [13758] ~left_apart_point(A39_653_9, L40_653_9), ~left_apart_point(A39_653_9, reverse_line(L40_653_9))
% 293.42/42.88
% 293.42/42.88 [13758] CLOSURE : ~left_apart_point(A39_653_9, L40_653_9)
% 293.42/42.88
% 293.42/42.88 [13554] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [13601] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88 -> [13602] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [13602] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [13601] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [13356] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.88 -> [13363] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 293.42/42.88 -> [13364] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [13364] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [13363] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [13974] ((unequally_directed_lines(skolem_M7878, M38_364_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_364_8))) => (left_convergent_lines(skolem_M7878, M38_364_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_364_8))))
% 293.42/42.88
% 293.42/42.88 [13974] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_364_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_364_8))) => (left_convergent_lines(skolem_M7878, M38_364_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_364_8))))
% 293.42/42.88 -> [13975] ~(unequally_directed_lines(skolem_M7878, M38_364_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_364_8)))
% 293.42/42.88 -> [13976] (left_convergent_lines(skolem_M7878, M38_364_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_364_8)))
% 293.42/42.88
% 293.42/42.88 [13976] BETA_OR : (left_convergent_lines(skolem_M7878, M38_364_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_364_8)))
% 293.42/42.88 -> [13979] left_convergent_lines(skolem_M7878, M38_364_8)
% 293.42/42.88 -> [13980] left_convergent_lines(skolem_M7878, reverse_line(M38_364_8))
% 293.42/42.88
% 293.42/42.88 [13980] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [14091] ~(left_apart_point(A39_701_9, L40_701_9) | left_apart_point(A39_701_9, reverse_line(L40_701_9)))
% 293.42/42.88
% 293.42/42.88 [14091] ALPHA_NOT_OR : ~(left_apart_point(A39_701_9, L40_701_9) | left_apart_point(A39_701_9, reverse_line(L40_701_9)))
% 293.42/42.88 -> [14094] ~left_apart_point(A39_701_9, L40_701_9), ~left_apart_point(A39_701_9, reverse_line(L40_701_9))
% 293.42/42.88
% 293.42/42.88 [14094] CLOSURE : ~left_apart_point(A39_701_9, L40_701_9)
% 293.42/42.88
% 293.42/42.88 [13979] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [14120] ~(left_apart_point(A39_705_9, L40_705_9) | left_apart_point(A39_705_9, reverse_line(L40_705_9)))
% 293.42/42.88
% 293.42/42.88 [14120] ALPHA_NOT_OR : ~(left_apart_point(A39_705_9, L40_705_9) | left_apart_point(A39_705_9, reverse_line(L40_705_9)))
% 293.42/42.88 -> [14122] ~left_apart_point(A39_705_9, L40_705_9), ~left_apart_point(A39_705_9, reverse_line(L40_705_9))
% 293.42/42.88
% 293.42/42.88 [14122] CLOSURE : ~left_apart_point(A39_705_9, L40_705_9)
% 293.42/42.88
% 293.42/42.88 [13975] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_364_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_364_8)))
% 293.42/42.88 -> [14013] ~unequally_directed_lines(skolem_M7878, M38_364_8)
% 293.42/42.88 -> [14014] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_364_8))
% 293.42/42.88
% 293.42/42.88 [14014] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_364_8))
% 293.42/42.88
% 293.42/42.88 [14013] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_364_8)
% 293.42/42.88
% 293.42/42.88 [13225] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_75_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_75_6)))
% 293.42/42.88 -> [13229] unequally_directed_lines(skolem_N7979, N34_75_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_75_6))
% 293.42/42.88
% 293.42/42.88 [13229] 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)))))
% 293.42/42.88 -> [13330] ((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)))))
% 293.42/42.88
% 293.42/42.88 [13330] 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)))))
% 293.42/42.88 -> [13331] ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.88 -> [13332] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 293.42/42.88
% 293.42/42.88 [13331] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.88 -> [13373] ~line(reverse_line(skolem_N7979))
% 293.42/42.88 -> [13374] ~line(reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [13373] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [13542] ((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))))
% 293.42/42.88
% 293.42/42.88 [13542] 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))))
% 293.42/42.88 -> [13543] ~(unequally_directed_lines(skolem_N7979, M38_339_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_339_8)))
% 293.42/42.88 -> [13544] (left_convergent_lines(skolem_N7979, M38_339_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_339_8)))
% 293.42/42.88
% 293.42/42.88 [13544] BETA_OR : (left_convergent_lines(skolem_N7979, M38_339_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_339_8)))
% 293.42/42.88 -> [13578] left_convergent_lines(skolem_N7979, M38_339_8)
% 293.42/42.88 -> [13579] left_convergent_lines(skolem_N7979, reverse_line(M38_339_8))
% 293.42/42.88
% 293.42/42.88 [13579] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [13691] ~(left_apart_point(A39_644_9, L40_644_9) | left_apart_point(A39_644_9, reverse_line(L40_644_9)))
% 293.42/42.88
% 293.42/42.88 [13691] ALPHA_NOT_OR : ~(left_apart_point(A39_644_9, L40_644_9) | left_apart_point(A39_644_9, reverse_line(L40_644_9)))
% 293.42/42.88 -> [13696] ~left_apart_point(A39_644_9, L40_644_9), ~left_apart_point(A39_644_9, reverse_line(L40_644_9))
% 293.42/42.88
% 293.42/42.88 [13696] CLOSURE : ~left_apart_point(A39_644_9, L40_644_9)
% 293.42/42.88
% 293.42/42.88 [13578] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [13743] ~(left_apart_point(A39_651_9, L40_651_9) | left_apart_point(A39_651_9, reverse_line(L40_651_9)))
% 293.42/42.88
% 293.42/42.88 [13743] ALPHA_NOT_OR : ~(left_apart_point(A39_651_9, L40_651_9) | left_apart_point(A39_651_9, reverse_line(L40_651_9)))
% 293.42/42.88 -> [13748] ~left_apart_point(A39_651_9, L40_651_9), ~left_apart_point(A39_651_9, reverse_line(L40_651_9))
% 293.42/42.88
% 293.42/42.88 [13748] CLOSURE : ~left_apart_point(A39_651_9, L40_651_9)
% 293.42/42.88
% 293.42/42.88 [13543] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_339_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_339_8)))
% 293.42/42.88 -> [13766] ~unequally_directed_lines(skolem_N7979, M38_339_8)
% 293.42/42.88 -> [13767] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_339_8))
% 293.42/42.88
% 293.42/42.88 [13766] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_339_8)
% 293.42/42.88
% 293.42/42.88 [13767] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_339_8))
% 293.42/42.88
% 293.42/42.88 [13374] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [13506] ((unequally_directed_lines(skolem_N7979, M38_335_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_335_8))) => (left_convergent_lines(skolem_N7979, M38_335_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_335_8))))
% 293.42/42.88
% 293.42/42.88 [13506] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_335_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_335_8))) => (left_convergent_lines(skolem_N7979, M38_335_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_335_8))))
% 293.42/42.88 -> [13507] ~(unequally_directed_lines(skolem_N7979, M38_335_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_335_8)))
% 293.42/42.88 -> [13508] (left_convergent_lines(skolem_N7979, M38_335_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_335_8)))
% 293.42/42.88
% 293.42/42.88 [13507] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_335_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_335_8)))
% 293.42/42.88 -> [13814] ~unequally_directed_lines(skolem_N7979, M38_335_8)
% 293.42/42.88 -> [13815] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_335_8))
% 293.42/42.88
% 293.42/42.88 [13814] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_335_8)
% 293.42/42.88
% 293.42/42.88 [13815] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_335_8))
% 293.42/42.88
% 293.42/42.88 [13508] BETA_OR : (left_convergent_lines(skolem_N7979, M38_335_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_335_8)))
% 293.42/42.88 -> [13511] left_convergent_lines(skolem_N7979, M38_335_8)
% 293.42/42.88 -> [13512] left_convergent_lines(skolem_N7979, reverse_line(M38_335_8))
% 293.42/42.88
% 293.42/42.88 [13511] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [13911] ~(left_apart_point(A39_681_9, L40_681_9) | left_apart_point(A39_681_9, reverse_line(L40_681_9)))
% 293.42/42.88
% 293.42/42.88 [13911] ALPHA_NOT_OR : ~(left_apart_point(A39_681_9, L40_681_9) | left_apart_point(A39_681_9, reverse_line(L40_681_9)))
% 293.42/42.88 -> [13912] ~left_apart_point(A39_681_9, L40_681_9), ~left_apart_point(A39_681_9, reverse_line(L40_681_9))
% 293.42/42.88
% 293.42/42.88 [13912] CLOSURE : ~left_apart_point(A39_681_9, L40_681_9)
% 293.42/42.88
% 293.42/42.88 [13512] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [13930] ~(left_apart_point(A39_684_9, L40_684_9) | left_apart_point(A39_684_9, reverse_line(L40_684_9)))
% 293.42/42.88
% 293.42/42.88 [13930] ALPHA_NOT_OR : ~(left_apart_point(A39_684_9, L40_684_9) | left_apart_point(A39_684_9, reverse_line(L40_684_9)))
% 293.42/42.88 -> [13931] ~left_apart_point(A39_684_9, L40_684_9), ~left_apart_point(A39_684_9, reverse_line(L40_684_9))
% 293.42/42.88
% 293.42/42.88 [13931] CLOSURE : ~left_apart_point(A39_684_9, L40_684_9)
% 293.42/42.88
% 293.42/42.88 [13332] 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))))
% 293.42/42.88 -> [13333] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.88 -> [13334] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 293.42/42.88
% 293.42/42.88 [13333] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [13334] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [14251] ((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))))
% 293.42/42.88
% 293.42/42.88 [14251] 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))))
% 293.42/42.88 -> [14254] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [14255] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88
% 293.42/42.88 [14255] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [14256] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88 -> [14257] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [14257] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [14302] ~(left_apart_point(A39_727_9, L40_727_9) | left_apart_point(A39_727_9, reverse_line(L40_727_9)))
% 293.42/42.88
% 293.42/42.88 [14302] ALPHA_NOT_OR : ~(left_apart_point(A39_727_9, L40_727_9) | left_apart_point(A39_727_9, reverse_line(L40_727_9)))
% 293.42/42.88 -> [14306] ~left_apart_point(A39_727_9, L40_727_9), ~left_apart_point(A39_727_9, reverse_line(L40_727_9))
% 293.42/42.88
% 293.42/42.88 [14306] CLOSURE : ~left_apart_point(A39_727_9, L40_727_9)
% 293.42/42.88
% 293.42/42.88 [14256] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [14310] ~(left_apart_point(A39_729_9, L40_729_9) | left_apart_point(A39_729_9, reverse_line(L40_729_9)))
% 293.42/42.88
% 293.42/42.88 [14310] ALPHA_NOT_OR : ~(left_apart_point(A39_729_9, L40_729_9) | left_apart_point(A39_729_9, reverse_line(L40_729_9)))
% 293.42/42.88 -> [14313] ~left_apart_point(A39_729_9, L40_729_9), ~left_apart_point(A39_729_9, reverse_line(L40_729_9))
% 293.42/42.88
% 293.42/42.88 [14313] CLOSURE : ~left_apart_point(A39_729_9, L40_729_9)
% 293.42/42.88
% 293.42/42.88 [14254] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [14263] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88 -> [14264] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [14264] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [14263] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88
% 293.42/42.88 [668] 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)))
% 293.42/42.88 -> [1205] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 293.42/42.88 -> [1206] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [1206] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.88 -> [1391] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.88
% 293.42/42.88 [1391] 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))))
% 293.42/42.88 -> [1423] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.88
% 293.42/42.88 [1423] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.88 -> [1425] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.88 -> [1426] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.88
% 293.42/42.88 [1425] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.88
% 293.42/42.88 [1426] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.88 -> [3633] distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.88 -> [3634] distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.88
% 293.42/42.88 [3634] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.88
% 293.42/42.88 [3633] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.88 -> [4830] ~distinct_lines(N27_144_3, N27_144_3)
% 293.42/42.88
% 293.42/42.88 [4830] 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))))
% 293.42/42.88 -> [5306] (distinct_lines(N27_144_3, N27_144_3) => (distinct_lines(N27_144_3, N27_144_3) | distinct_lines(N27_144_3, N27_144_3)))
% 293.42/42.88
% 293.42/42.88 [5306] BETA_IMPLY : (distinct_lines(N27_144_3, N27_144_3) => (distinct_lines(N27_144_3, N27_144_3) | distinct_lines(N27_144_3, N27_144_3)))
% 293.42/42.88 -> [5307] ~distinct_lines(N27_144_3, N27_144_3)
% 293.42/42.88 -> [5308] (distinct_lines(N27_144_3, N27_144_3) | distinct_lines(N27_144_3, N27_144_3))
% 293.42/42.88
% 293.42/42.88 [5308] BETA_OR : (distinct_lines(N27_144_3, N27_144_3) | distinct_lines(N27_144_3, N27_144_3))
% 293.42/42.88 -> [5311] distinct_lines(N27_144_3, N27_144_3)
% 293.42/42.88 -> [5312] distinct_lines(N27_144_3, N27_144_3)
% 293.42/42.88
% 293.42/42.88 [5312] CLOSURE : distinct_lines(N27_144_3, N27_144_3)
% 293.42/42.88
% 293.42/42.88 [5311] CLOSURE : distinct_lines(N27_144_3, N27_144_3)
% 293.42/42.88
% 293.42/42.88 [5307] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.88 -> [5400] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [5400] 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))))
% 293.42/42.88 -> [5619] (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))))
% 293.42/42.88
% 293.42/42.88 [5619] 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))))
% 293.42/42.88 -> [5620] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88 -> [5621] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.88
% 293.42/42.88 [5620] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [5621] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.88 -> [6503] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88 -> [6504] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [6504] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [6503] 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))))))
% 293.42/42.88 -> [7791] ((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)))))
% 293.42/42.88
% 293.42/42.88 [7791] 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)))))
% 293.42/42.88 -> [7793] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [7794] ((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))))
% 293.42/42.88
% 293.42/42.88 [7793] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [7825] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88 -> [7826] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [7826] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [7825] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88
% 293.42/42.88 [7794] 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))))
% 293.42/42.88 -> [15497] (unequally_directed_lines(skolem_M7878, N34_72_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_72_6)))
% 293.42/42.88 -> [15498] (unequally_directed_lines(skolem_N7979, N34_72_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_72_6)))
% 293.42/42.88
% 293.42/42.88 [15498] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_72_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_72_6)))
% 293.42/42.88 -> [15499] unequally_directed_lines(skolem_N7979, N34_72_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_72_6))
% 293.42/42.88
% 293.42/42.88 [15499] 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)))))
% 293.42/42.88 -> [15885] ((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)))))
% 293.42/42.88
% 293.42/42.88 [15885] 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)))))
% 293.42/42.88 -> [15887] ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.88 -> [15888] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))
% 293.42/42.88
% 293.42/42.88 [15888] 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))))
% 293.42/42.88 -> [15889] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.88 -> [15890] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.88
% 293.42/42.88 [15889] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.88
% 293.42/42.88 [15890] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [18198] ((unequally_directed_lines(skolem_N7979, M38_629_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_629_8))) => (left_convergent_lines(skolem_N7979, M38_629_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_629_8))))
% 293.42/42.88
% 293.42/42.88 [18198] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_629_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_629_8))) => (left_convergent_lines(skolem_N7979, M38_629_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_629_8))))
% 293.42/42.88 -> [18202] ~(unequally_directed_lines(skolem_N7979, M38_629_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_629_8)))
% 293.42/42.88 -> [18203] (left_convergent_lines(skolem_N7979, M38_629_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_629_8)))
% 293.42/42.88
% 293.42/42.88 [18202] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_629_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_629_8)))
% 293.42/42.88 -> [18212] ~unequally_directed_lines(skolem_N7979, M38_629_8)
% 293.42/42.88 -> [18213] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_629_8))
% 293.42/42.88
% 293.42/42.88 [18212] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_629_8)
% 293.42/42.88
% 293.42/42.88 [18213] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_629_8))
% 293.42/42.88
% 293.42/42.88 [18203] BETA_OR : (left_convergent_lines(skolem_N7979, M38_629_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_629_8)))
% 293.42/42.88 -> [18206] left_convergent_lines(skolem_N7979, M38_629_8)
% 293.42/42.88 -> [18207] left_convergent_lines(skolem_N7979, reverse_line(M38_629_8))
% 293.42/42.88
% 293.42/42.88 [18207] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [18236] ~(left_apart_point(A39_1195_9, L40_1195_9) | left_apart_point(A39_1195_9, reverse_line(L40_1195_9)))
% 293.42/42.88
% 293.42/42.88 [18236] ALPHA_NOT_OR : ~(left_apart_point(A39_1195_9, L40_1195_9) | left_apart_point(A39_1195_9, reverse_line(L40_1195_9)))
% 293.42/42.88 -> [18238] ~left_apart_point(A39_1195_9, L40_1195_9), ~left_apart_point(A39_1195_9, reverse_line(L40_1195_9))
% 293.42/42.88
% 293.42/42.88 [18238] CLOSURE : ~left_apart_point(A39_1195_9, L40_1195_9)
% 293.42/42.88
% 293.42/42.88 [18206] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [18241] ~(left_apart_point(A39_1197_9, L40_1197_9) | left_apart_point(A39_1197_9, reverse_line(L40_1197_9)))
% 293.42/42.88
% 293.42/42.88 [18241] ALPHA_NOT_OR : ~(left_apart_point(A39_1197_9, L40_1197_9) | left_apart_point(A39_1197_9, reverse_line(L40_1197_9)))
% 293.42/42.88 -> [18242] ~left_apart_point(A39_1197_9, L40_1197_9), ~left_apart_point(A39_1197_9, reverse_line(L40_1197_9))
% 293.42/42.88
% 293.42/42.88 [18242] CLOSURE : ~left_apart_point(A39_1197_9, L40_1197_9)
% 293.42/42.88
% 293.42/42.88 [15887] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.88 -> [15923] ~line(skolem_L7777)
% 293.42/42.88 -> [15924] ~line(line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.88
% 293.42/42.88 [15923] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [18075] ((unequally_directed_lines(skolem_N7979, M38_621_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_621_8))) => (left_convergent_lines(skolem_N7979, M38_621_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_621_8))))
% 293.42/42.88
% 293.42/42.88 [18075] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_621_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_621_8))) => (left_convergent_lines(skolem_N7979, M38_621_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_621_8))))
% 293.42/42.88 -> [18077] ~(unequally_directed_lines(skolem_N7979, M38_621_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_621_8)))
% 293.42/42.88 -> [18078] (left_convergent_lines(skolem_N7979, M38_621_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_621_8)))
% 293.42/42.88
% 293.42/42.88 [18078] BETA_OR : (left_convergent_lines(skolem_N7979, M38_621_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_621_8)))
% 293.42/42.88 -> [18080] left_convergent_lines(skolem_N7979, M38_621_8)
% 293.42/42.88 -> [18081] left_convergent_lines(skolem_N7979, reverse_line(M38_621_8))
% 293.42/42.88
% 293.42/42.88 [18081] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [18316] ~(left_apart_point(A39_1208_9, L40_1208_9) | left_apart_point(A39_1208_9, reverse_line(L40_1208_9)))
% 293.42/42.88
% 293.42/42.88 [18316] ALPHA_NOT_OR : ~(left_apart_point(A39_1208_9, L40_1208_9) | left_apart_point(A39_1208_9, reverse_line(L40_1208_9)))
% 293.42/42.88 -> [18319] ~left_apart_point(A39_1208_9, L40_1208_9), ~left_apart_point(A39_1208_9, reverse_line(L40_1208_9))
% 293.42/42.88
% 293.42/42.88 [18319] CLOSURE : ~left_apart_point(A39_1208_9, L40_1208_9)
% 293.42/42.88
% 293.42/42.88 [18080] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [18381] ~(left_apart_point(A39_1217_9, L40_1217_9) | left_apart_point(A39_1217_9, reverse_line(L40_1217_9)))
% 293.42/42.88
% 293.42/42.88 [18381] ALPHA_NOT_OR : ~(left_apart_point(A39_1217_9, L40_1217_9) | left_apart_point(A39_1217_9, reverse_line(L40_1217_9)))
% 293.42/42.88 -> [18382] ~left_apart_point(A39_1217_9, L40_1217_9), ~left_apart_point(A39_1217_9, reverse_line(L40_1217_9))
% 293.42/42.88
% 293.42/42.88 [18382] CLOSURE : ~left_apart_point(A39_1217_9, L40_1217_9)
% 293.42/42.88
% 293.42/42.88 [18077] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_621_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_621_8)))
% 293.42/42.88 -> [18164] ~unequally_directed_lines(skolem_N7979, M38_621_8)
% 293.42/42.88 -> [18165] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_621_8))
% 293.42/42.88
% 293.42/42.88 [18165] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_621_8))
% 293.42/42.88
% 293.42/42.88 [18164] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_621_8)
% 293.42/42.88
% 293.42/42.88 [15924] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [20347] ((unequally_directed_lines(skolem_N7979, M38_765_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_765_8))) => (left_convergent_lines(skolem_N7979, M38_765_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_765_8))))
% 293.42/42.88
% 293.42/42.88 [20347] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_765_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_765_8))) => (left_convergent_lines(skolem_N7979, M38_765_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_765_8))))
% 293.42/42.88 -> [20349] ~(unequally_directed_lines(skolem_N7979, M38_765_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_765_8)))
% 293.42/42.88 -> [20350] (left_convergent_lines(skolem_N7979, M38_765_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_765_8)))
% 293.42/42.88
% 293.42/42.88 [20349] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_765_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_765_8)))
% 293.42/42.88 -> [20402] ~unequally_directed_lines(skolem_N7979, M38_765_8)
% 293.42/42.88 -> [20403] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_765_8))
% 293.42/42.88
% 293.42/42.88 [20402] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_765_8)
% 293.42/42.88
% 293.42/42.88 [20403] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_765_8))
% 293.42/42.88
% 293.42/42.88 [20350] BETA_OR : (left_convergent_lines(skolem_N7979, M38_765_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_765_8)))
% 293.42/42.88 -> [20352] left_convergent_lines(skolem_N7979, M38_765_8)
% 293.42/42.88 -> [20353] left_convergent_lines(skolem_N7979, reverse_line(M38_765_8))
% 293.42/42.88
% 293.42/42.88 [20352] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [20692] ~(left_apart_point(A39_1510_9, L40_1510_9) | left_apart_point(A39_1510_9, reverse_line(L40_1510_9)))
% 293.42/42.88
% 293.42/42.88 [20692] ALPHA_NOT_OR : ~(left_apart_point(A39_1510_9, L40_1510_9) | left_apart_point(A39_1510_9, reverse_line(L40_1510_9)))
% 293.42/42.88 -> [20693] ~left_apart_point(A39_1510_9, L40_1510_9), ~left_apart_point(A39_1510_9, reverse_line(L40_1510_9))
% 293.42/42.88
% 293.42/42.88 [20693] CLOSURE : ~left_apart_point(A39_1510_9, L40_1510_9)
% 293.42/42.88
% 293.42/42.88 [20353] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [21209] ~(left_apart_point(A39_1552_9, L40_1552_9) | left_apart_point(A39_1552_9, reverse_line(L40_1552_9)))
% 293.42/42.88
% 293.42/42.88 [21209] ALPHA_NOT_OR : ~(left_apart_point(A39_1552_9, L40_1552_9) | left_apart_point(A39_1552_9, reverse_line(L40_1552_9)))
% 293.42/42.88 -> [21213] ~left_apart_point(A39_1552_9, L40_1552_9), ~left_apart_point(A39_1552_9, reverse_line(L40_1552_9))
% 293.42/42.88
% 293.42/42.88 [21213] CLOSURE : ~left_apart_point(A39_1552_9, L40_1552_9)
% 293.42/42.88
% 293.42/42.88 [15497] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_72_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_72_6)))
% 293.42/42.88 -> [15540] unequally_directed_lines(skolem_M7878, N34_72_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_72_6))
% 293.42/42.88
% 293.42/42.88 [15540] 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)))))
% 293.42/42.88 -> [15911] ((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)))))
% 293.42/42.88
% 293.42/42.88 [15911] 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)))))
% 293.42/42.88 -> [15912] ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.88 -> [15913] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 293.42/42.88
% 293.42/42.88 [15912] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.88 -> [15967] ~line(reverse_line(skolem_N7979))
% 293.42/42.88 -> [15968] ~line(reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [15967] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [16122] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.88
% 293.42/42.88 [16122] 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))))
% 293.42/42.88 -> [16124] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [16125] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88
% 293.42/42.88 [16125] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [16128] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88 -> [16129] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [16129] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [16342] ~(left_apart_point(A39_950_9, L40_950_9) | left_apart_point(A39_950_9, reverse_line(L40_950_9)))
% 293.42/42.88
% 293.42/42.88 [16342] ALPHA_NOT_OR : ~(left_apart_point(A39_950_9, L40_950_9) | left_apart_point(A39_950_9, reverse_line(L40_950_9)))
% 293.42/42.88 -> [16343] ~left_apart_point(A39_950_9, L40_950_9), ~left_apart_point(A39_950_9, reverse_line(L40_950_9))
% 293.42/42.88
% 293.42/42.88 [16343] CLOSURE : ~left_apart_point(A39_950_9, L40_950_9)
% 293.42/42.88
% 293.42/42.88 [16128] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [16388] ~(left_apart_point(A39_958_9, L40_958_9) | left_apart_point(A39_958_9, reverse_line(L40_958_9)))
% 293.42/42.88
% 293.42/42.88 [16388] ALPHA_NOT_OR : ~(left_apart_point(A39_958_9, L40_958_9) | left_apart_point(A39_958_9, reverse_line(L40_958_9)))
% 293.42/42.88 -> [16390] ~left_apart_point(A39_958_9, L40_958_9), ~left_apart_point(A39_958_9, reverse_line(L40_958_9))
% 293.42/42.88
% 293.42/42.88 [16390] CLOSURE : ~left_apart_point(A39_958_9, L40_958_9)
% 293.42/42.88
% 293.42/42.88 [16124] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [16157] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88 -> [16158] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [16158] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [16157] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [15968] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [17236] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.88
% 293.42/42.88 [17236] 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))))
% 293.42/42.88 -> [17237] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [17238] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88
% 293.42/42.88 [17237] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [17335] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88 -> [17336] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [17336] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [17335] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [17238] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [17241] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88 -> [17242] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [17242] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [17664] ~(left_apart_point(A39_1135_9, L40_1135_9) | left_apart_point(A39_1135_9, reverse_line(L40_1135_9)))
% 293.42/42.88
% 293.42/42.88 [17664] ALPHA_NOT_OR : ~(left_apart_point(A39_1135_9, L40_1135_9) | left_apart_point(A39_1135_9, reverse_line(L40_1135_9)))
% 293.42/42.88 -> [17667] ~left_apart_point(A39_1135_9, L40_1135_9), ~left_apart_point(A39_1135_9, reverse_line(L40_1135_9))
% 293.42/42.88
% 293.42/42.88 [17667] CLOSURE : ~left_apart_point(A39_1135_9, L40_1135_9)
% 293.42/42.88
% 293.42/42.88 [17241] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [17773] ~(left_apart_point(A39_1147_9, L40_1147_9) | left_apart_point(A39_1147_9, reverse_line(L40_1147_9)))
% 293.42/42.88
% 293.42/42.88 [17773] ALPHA_NOT_OR : ~(left_apart_point(A39_1147_9, L40_1147_9) | left_apart_point(A39_1147_9, reverse_line(L40_1147_9)))
% 293.42/42.88 -> [21819] ~left_apart_point(A39_1147_9, L40_1147_9), ~left_apart_point(A39_1147_9, reverse_line(L40_1147_9))
% 293.42/42.88
% 293.42/42.88 [21819] CLOSURE : ~left_apart_point(A39_1147_9, L40_1147_9)
% 293.42/42.88
% 293.42/42.88 [15913] 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))))
% 293.42/42.88 -> [15919] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.88 -> [15920] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 293.42/42.88
% 293.42/42.88 [15919] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [15920] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [22815] ((unequally_directed_lines(skolem_M7878, M38_917_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_917_8))) => (left_convergent_lines(skolem_M7878, M38_917_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_917_8))))
% 293.42/42.88
% 293.42/42.88 [22815] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_917_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_917_8))) => (left_convergent_lines(skolem_M7878, M38_917_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_917_8))))
% 293.42/42.88 -> [22820] ~(unequally_directed_lines(skolem_M7878, M38_917_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_917_8)))
% 293.42/42.88 -> [22821] (left_convergent_lines(skolem_M7878, M38_917_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_917_8)))
% 293.42/42.88
% 293.42/42.88 [22821] BETA_OR : (left_convergent_lines(skolem_M7878, M38_917_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_917_8)))
% 293.42/42.88 -> [22828] left_convergent_lines(skolem_M7878, M38_917_8)
% 293.42/42.88 -> [22829] left_convergent_lines(skolem_M7878, reverse_line(M38_917_8))
% 293.42/42.88
% 293.42/42.88 [22828] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [22888] ~(left_apart_point(A39_1793_9, L40_1793_9) | left_apart_point(A39_1793_9, reverse_line(L40_1793_9)))
% 293.42/42.88
% 293.42/42.88 [22888] ALPHA_NOT_OR : ~(left_apart_point(A39_1793_9, L40_1793_9) | left_apart_point(A39_1793_9, reverse_line(L40_1793_9)))
% 293.42/42.88 -> [22891] ~left_apart_point(A39_1793_9, L40_1793_9), ~left_apart_point(A39_1793_9, reverse_line(L40_1793_9))
% 293.42/42.88
% 293.42/42.88 [22891] CLOSURE : ~left_apart_point(A39_1793_9, L40_1793_9)
% 293.42/42.88
% 293.42/42.88 [22829] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [22876] ~(left_apart_point(A39_1790_9, L40_1790_9) | left_apart_point(A39_1790_9, reverse_line(L40_1790_9)))
% 293.42/42.88
% 293.42/42.88 [22876] ALPHA_NOT_OR : ~(left_apart_point(A39_1790_9, L40_1790_9) | left_apart_point(A39_1790_9, reverse_line(L40_1790_9)))
% 293.42/42.88 -> [22879] ~left_apart_point(A39_1790_9, L40_1790_9), ~left_apart_point(A39_1790_9, reverse_line(L40_1790_9))
% 293.42/42.88
% 293.42/42.88 [22879] CLOSURE : ~left_apart_point(A39_1790_9, L40_1790_9)
% 293.42/42.88
% 293.42/42.88 [22820] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_917_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_917_8)))
% 293.42/42.88 -> [22833] ~unequally_directed_lines(skolem_M7878, M38_917_8)
% 293.42/42.88 -> [22834] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_917_8))
% 293.42/42.88
% 293.42/42.88 [22834] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_917_8))
% 293.42/42.88
% 293.42/42.88 [22833] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_917_8)
% 293.42/42.88
% 293.42/42.88 [1205] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.88 -> [3955] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.88
% 293.42/42.88 [3955] 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))))
% 293.42/42.88 -> [4186] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.88
% 293.42/42.88 [4186] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.88 -> [4190] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.88 -> [4191] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.88
% 293.42/42.88 [4190] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.88
% 293.42/42.88 [4191] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.88 -> [8779] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.88 -> [8780] distinct_points(skolem_A8080, skolem_B8181)
% 293.42/42.88
% 293.42/42.88 [8779] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.88
% 293.42/42.88 [8780] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.88 -> [9077] ~distinct_lines(N27_268_3, N27_268_3)
% 293.42/42.88
% 293.42/42.88 [9077] 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))))
% 293.42/42.88 -> [9139] (distinct_lines(N27_268_3, N27_268_3) => (distinct_lines(N27_268_3, N27_268_3) | distinct_lines(N27_268_3, N27_268_3)))
% 293.42/42.88
% 293.42/42.88 [9139] BETA_IMPLY : (distinct_lines(N27_268_3, N27_268_3) => (distinct_lines(N27_268_3, N27_268_3) | distinct_lines(N27_268_3, N27_268_3)))
% 293.42/42.88 -> [9140] ~distinct_lines(N27_268_3, N27_268_3)
% 293.42/42.88 -> [9141] (distinct_lines(N27_268_3, N27_268_3) | distinct_lines(N27_268_3, N27_268_3))
% 293.42/42.88
% 293.42/42.88 [9141] BETA_OR : (distinct_lines(N27_268_3, N27_268_3) | distinct_lines(N27_268_3, N27_268_3))
% 293.42/42.88 -> [9144] distinct_lines(N27_268_3, N27_268_3)
% 293.42/42.88 -> [9145] distinct_lines(N27_268_3, N27_268_3)
% 293.42/42.88
% 293.42/42.88 [9145] CLOSURE : distinct_lines(N27_268_3, N27_268_3)
% 293.42/42.88
% 293.42/42.88 [9144] CLOSURE : distinct_lines(N27_268_3, N27_268_3)
% 293.42/42.88
% 293.42/42.88 [9140] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.88 -> [10887] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [10887] 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))))
% 293.42/42.88 -> [10908] (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))))
% 293.42/42.88
% 293.42/42.88 [10908] 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))))
% 293.42/42.88 -> [10911] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88 -> [10912] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.88
% 293.42/42.88 [10911] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [10912] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.88 -> [15683] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88 -> [15684] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [15684] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [15683] 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))))))
% 293.42/42.88 -> [17990] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_239_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_239_6))) | (unequally_directed_lines(skolem_N7979, N34_239_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_239_6)))))
% 293.42/42.88
% 293.42/42.88 [17990] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_239_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_239_6))) | (unequally_directed_lines(skolem_N7979, N34_239_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_239_6)))))
% 293.42/42.88 -> [17995] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [17996] ((unequally_directed_lines(skolem_M7878, N34_239_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_239_6))) | (unequally_directed_lines(skolem_N7979, N34_239_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_239_6))))
% 293.42/42.88
% 293.42/42.88 [17995] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [18071] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88 -> [18072] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [18072] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [18071] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88
% 293.42/42.88 [17996] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_239_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_239_6))) | (unequally_directed_lines(skolem_N7979, N34_239_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_239_6))))
% 293.42/42.88 -> [21019] (unequally_directed_lines(skolem_M7878, N34_239_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_239_6)))
% 293.42/42.88 -> [21020] (unequally_directed_lines(skolem_N7979, N34_239_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_239_6)))
% 293.42/42.88
% 293.42/42.88 [21019] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_239_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_239_6)))
% 293.42/42.88 -> [21053] unequally_directed_lines(skolem_M7878, N34_239_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_239_6))
% 293.42/42.88
% 293.42/42.88 [21053] 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)))))
% 293.42/42.88 -> [21177] ((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))))
% 293.42/42.88
% 293.42/42.88 [21177] 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))))
% 293.42/42.88 -> [21180] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.88 -> [21181] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.88
% 293.42/42.88 [21180] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.88 -> [21200] ~line(reverse_line(skolem_N7979))
% 293.42/42.88 -> [21201] ~line(skolem_N7979)
% 293.42/42.88
% 293.42/42.88 [21201] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [21243] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.88
% 293.42/42.88 [21243] 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))))
% 293.42/42.88 -> [21244] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [21245] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88
% 293.42/42.88 [21244] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [21312] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88 -> [21313] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [21313] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [21312] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [21245] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [21252] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88 -> [21253] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [21253] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [21424] ~(left_apart_point(A39_1581_9, L40_1581_9) | left_apart_point(A39_1581_9, reverse_line(L40_1581_9)))
% 293.42/42.88
% 293.42/42.88 [21424] ALPHA_NOT_OR : ~(left_apart_point(A39_1581_9, L40_1581_9) | left_apart_point(A39_1581_9, reverse_line(L40_1581_9)))
% 293.42/42.88 -> [21428] ~left_apart_point(A39_1581_9, L40_1581_9), ~left_apart_point(A39_1581_9, reverse_line(L40_1581_9))
% 293.42/42.88
% 293.42/42.88 [21428] CLOSURE : ~left_apart_point(A39_1581_9, L40_1581_9)
% 293.42/42.88
% 293.42/42.88 [21252] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [21507] ~(left_apart_point(A39_1598_9, L40_1598_9) | left_apart_point(A39_1598_9, reverse_line(L40_1598_9)))
% 293.42/42.88
% 293.42/42.88 [21507] ALPHA_NOT_OR : ~(left_apart_point(A39_1598_9, L40_1598_9) | left_apart_point(A39_1598_9, reverse_line(L40_1598_9)))
% 293.42/42.88 -> [21510] ~left_apart_point(A39_1598_9, L40_1598_9), ~left_apart_point(A39_1598_9, reverse_line(L40_1598_9))
% 293.42/42.88
% 293.42/42.88 [21510] CLOSURE : ~left_apart_point(A39_1598_9, L40_1598_9)
% 293.42/42.88
% 293.42/42.88 [21200] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [21289] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.88
% 293.42/42.88 [21289] 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))))
% 293.42/42.88 -> [21290] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [21291] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88
% 293.42/42.88 [21291] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [21302] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88 -> [21303] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [21303] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [21444] ~(left_apart_point(A39_1586_9, L40_1586_9) | left_apart_point(A39_1586_9, reverse_line(L40_1586_9)))
% 293.42/42.88
% 293.42/42.88 [21444] ALPHA_NOT_OR : ~(left_apart_point(A39_1586_9, L40_1586_9) | left_apart_point(A39_1586_9, reverse_line(L40_1586_9)))
% 293.42/42.88 -> [21446] ~left_apart_point(A39_1586_9, L40_1586_9), ~left_apart_point(A39_1586_9, reverse_line(L40_1586_9))
% 293.42/42.88
% 293.42/42.88 [21446] CLOSURE : ~left_apart_point(A39_1586_9, L40_1586_9)
% 293.42/42.88
% 293.42/42.88 [21302] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [21498] ~(left_apart_point(A39_1597_9, L40_1597_9) | left_apart_point(A39_1597_9, reverse_line(L40_1597_9)))
% 293.42/42.88
% 293.42/42.88 [21498] ALPHA_NOT_OR : ~(left_apart_point(A39_1597_9, L40_1597_9) | left_apart_point(A39_1597_9, reverse_line(L40_1597_9)))
% 293.42/42.88 -> [21501] ~left_apart_point(A39_1597_9, L40_1597_9), ~left_apart_point(A39_1597_9, reverse_line(L40_1597_9))
% 293.42/42.88
% 293.42/42.88 [21501] CLOSURE : ~left_apart_point(A39_1597_9, L40_1597_9)
% 293.42/42.88
% 293.42/42.88 [21290] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [21330] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88 -> [21331] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [21331] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [21330] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [21181] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.88 -> [21186] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 293.42/42.88 -> [21187] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [21187] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [21186] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [25266] ((unequally_directed_lines(skolem_M7878, M38_1093_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1093_8))) => (left_convergent_lines(skolem_M7878, M38_1093_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1093_8))))
% 293.42/42.88
% 293.42/42.88 [25266] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_1093_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1093_8))) => (left_convergent_lines(skolem_M7878, M38_1093_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1093_8))))
% 293.42/42.88 -> [25269] ~(unequally_directed_lines(skolem_M7878, M38_1093_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1093_8)))
% 293.42/42.88 -> [25270] (left_convergent_lines(skolem_M7878, M38_1093_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1093_8)))
% 293.42/42.88
% 293.42/42.88 [25270] BETA_OR : (left_convergent_lines(skolem_M7878, M38_1093_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1093_8)))
% 293.42/42.88 -> [25273] left_convergent_lines(skolem_M7878, M38_1093_8)
% 293.42/42.88 -> [25274] left_convergent_lines(skolem_M7878, reverse_line(M38_1093_8))
% 293.42/42.88
% 293.42/42.88 [25274] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [25316] ~(left_apart_point(A39_2156_9, L40_2156_9) | left_apart_point(A39_2156_9, reverse_line(L40_2156_9)))
% 293.42/42.88
% 293.42/42.88 [25316] ALPHA_NOT_OR : ~(left_apart_point(A39_2156_9, L40_2156_9) | left_apart_point(A39_2156_9, reverse_line(L40_2156_9)))
% 293.42/42.88 -> [25317] ~left_apart_point(A39_2156_9, L40_2156_9), ~left_apart_point(A39_2156_9, reverse_line(L40_2156_9))
% 293.42/42.88
% 293.42/42.88 [25317] CLOSURE : ~left_apart_point(A39_2156_9, L40_2156_9)
% 293.42/42.88
% 293.42/42.88 [25273] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [25320] ~(left_apart_point(A39_2158_9, L40_2158_9) | left_apart_point(A39_2158_9, reverse_line(L40_2158_9)))
% 293.42/42.88
% 293.42/42.88 [25320] ALPHA_NOT_OR : ~(left_apart_point(A39_2158_9, L40_2158_9) | left_apart_point(A39_2158_9, reverse_line(L40_2158_9)))
% 293.42/42.88 -> [25321] ~left_apart_point(A39_2158_9, L40_2158_9), ~left_apart_point(A39_2158_9, reverse_line(L40_2158_9))
% 293.42/42.88
% 293.42/42.88 [25321] CLOSURE : ~left_apart_point(A39_2158_9, L40_2158_9)
% 293.42/42.88
% 293.42/42.88 [25269] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_1093_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1093_8)))
% 293.42/42.88 -> [25287] ~unequally_directed_lines(skolem_M7878, M38_1093_8)
% 293.42/42.88 -> [25288] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_1093_8))
% 293.42/42.88
% 293.42/42.88 [25288] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_1093_8))
% 293.42/42.88
% 293.42/42.88 [25287] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_1093_8)
% 293.42/42.88
% 293.42/42.88 [21020] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_239_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_239_6)))
% 293.42/42.88 -> [21030] unequally_directed_lines(skolem_N7979, N34_239_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_239_6))
% 293.42/42.88
% 293.42/42.88 [21030] 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)))))
% 293.42/42.88 -> [22409] ((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)))))
% 293.42/42.88
% 293.42/42.88 [22409] 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)))))
% 293.42/42.88 -> [22410] ~(line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181)))
% 293.42/42.88 -> [22411] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 293.42/42.88
% 293.42/42.88 [22410] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181)))
% 293.42/42.88 -> [22432] ~line(skolem_L7777)
% 293.42/42.88 -> [22433] ~line(line_connecting(skolem_C8282, skolem_B8181))
% 293.42/42.88
% 293.42/42.88 [22432] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [22546] ((unequally_directed_lines(skolem_N7979, M38_904_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_904_8))) => (left_convergent_lines(skolem_N7979, M38_904_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_904_8))))
% 293.42/42.88
% 293.42/42.88 [22546] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_904_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_904_8))) => (left_convergent_lines(skolem_N7979, M38_904_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_904_8))))
% 293.42/42.88 -> [22548] ~(unequally_directed_lines(skolem_N7979, M38_904_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_904_8)))
% 293.42/42.88 -> [22549] (left_convergent_lines(skolem_N7979, M38_904_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_904_8)))
% 293.42/42.88
% 293.42/42.88 [22549] BETA_OR : (left_convergent_lines(skolem_N7979, M38_904_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_904_8)))
% 293.42/42.88 -> [22550] left_convergent_lines(skolem_N7979, M38_904_8)
% 293.42/42.88 -> [22551] left_convergent_lines(skolem_N7979, reverse_line(M38_904_8))
% 293.42/42.88
% 293.42/42.88 [22551] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [22775] ~(left_apart_point(A39_1779_9, L40_1779_9) | left_apart_point(A39_1779_9, reverse_line(L40_1779_9)))
% 293.42/42.88
% 293.42/42.88 [22775] ALPHA_NOT_OR : ~(left_apart_point(A39_1779_9, L40_1779_9) | left_apart_point(A39_1779_9, reverse_line(L40_1779_9)))
% 293.42/42.88 -> [22776] ~left_apart_point(A39_1779_9, L40_1779_9), ~left_apart_point(A39_1779_9, reverse_line(L40_1779_9))
% 293.42/42.88
% 293.42/42.88 [22776] CLOSURE : ~left_apart_point(A39_1779_9, L40_1779_9)
% 293.42/42.88
% 293.42/42.88 [22550] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [22825] ~(left_apart_point(A39_1783_9, L40_1783_9) | left_apart_point(A39_1783_9, reverse_line(L40_1783_9)))
% 293.42/42.88
% 293.42/42.88 [22825] ALPHA_NOT_OR : ~(left_apart_point(A39_1783_9, L40_1783_9) | left_apart_point(A39_1783_9, reverse_line(L40_1783_9)))
% 293.42/42.88 -> [22830] ~left_apart_point(A39_1783_9, L40_1783_9), ~left_apart_point(A39_1783_9, reverse_line(L40_1783_9))
% 293.42/42.88
% 293.42/42.88 [22830] CLOSURE : ~left_apart_point(A39_1783_9, L40_1783_9)
% 293.42/42.88
% 293.42/42.88 [22548] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_904_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_904_8)))
% 293.42/42.88 -> [22574] ~unequally_directed_lines(skolem_N7979, M38_904_8)
% 293.42/42.88 -> [22575] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_904_8))
% 293.42/42.88
% 293.42/42.88 [22575] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_904_8))
% 293.42/42.88
% 293.42/42.88 [22574] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_904_8)
% 293.42/42.88
% 293.42/42.88 [22433] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [22522] ((unequally_directed_lines(skolem_N7979, M38_902_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_902_8))) => (left_convergent_lines(skolem_N7979, M38_902_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_902_8))))
% 293.42/42.88
% 293.42/42.88 [22522] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_902_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_902_8))) => (left_convergent_lines(skolem_N7979, M38_902_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_902_8))))
% 293.42/42.88 -> [22523] ~(unequally_directed_lines(skolem_N7979, M38_902_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_902_8)))
% 293.42/42.88 -> [22524] (left_convergent_lines(skolem_N7979, M38_902_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_902_8)))
% 293.42/42.88
% 293.42/42.88 [22523] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_902_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_902_8)))
% 293.42/42.88 -> [22556] ~unequally_directed_lines(skolem_N7979, M38_902_8)
% 293.42/42.88 -> [22557] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_902_8))
% 293.42/42.88
% 293.42/42.88 [22557] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_902_8))
% 293.42/42.88
% 293.42/42.88 [22556] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_902_8)
% 293.42/42.88
% 293.42/42.88 [22524] BETA_OR : (left_convergent_lines(skolem_N7979, M38_902_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_902_8)))
% 293.42/42.88 -> [22528] left_convergent_lines(skolem_N7979, M38_902_8)
% 293.42/42.88 -> [22529] left_convergent_lines(skolem_N7979, reverse_line(M38_902_8))
% 293.42/42.88
% 293.42/42.88 [22529] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [22715] ~(left_apart_point(A39_1771_9, L40_1771_9) | left_apart_point(A39_1771_9, reverse_line(L40_1771_9)))
% 293.42/42.88
% 293.42/42.88 [22715] ALPHA_NOT_OR : ~(left_apart_point(A39_1771_9, L40_1771_9) | left_apart_point(A39_1771_9, reverse_line(L40_1771_9)))
% 293.42/42.88 -> [22720] ~left_apart_point(A39_1771_9, L40_1771_9), ~left_apart_point(A39_1771_9, reverse_line(L40_1771_9))
% 293.42/42.88
% 293.42/42.88 [22720] CLOSURE : ~left_apart_point(A39_1771_9, L40_1771_9)
% 293.42/42.88
% 293.42/42.88 [22528] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [22780] ~(left_apart_point(A39_1781_9, L40_1781_9) | left_apart_point(A39_1781_9, reverse_line(L40_1781_9)))
% 293.42/42.88
% 293.42/42.88 [22780] ALPHA_NOT_OR : ~(left_apart_point(A39_1781_9, L40_1781_9) | left_apart_point(A39_1781_9, reverse_line(L40_1781_9)))
% 293.42/42.88 -> [22784] ~left_apart_point(A39_1781_9, L40_1781_9), ~left_apart_point(A39_1781_9, reverse_line(L40_1781_9))
% 293.42/42.88
% 293.42/42.88 [22784] CLOSURE : ~left_apart_point(A39_1781_9, L40_1781_9)
% 293.42/42.88
% 293.42/42.88 [22411] 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))))
% 293.42/42.88 -> [22414] unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 293.42/42.88 -> [22415] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))
% 293.42/42.88
% 293.42/42.88 [22414] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 293.42/42.88
% 293.42/42.88 [22415] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.88 -> [26312] ((unequally_directed_lines(skolem_N7979, M38_1164_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1164_8))) => (left_convergent_lines(skolem_N7979, M38_1164_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1164_8))))
% 293.42/42.88
% 293.42/42.88 [26312] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1164_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1164_8))) => (left_convergent_lines(skolem_N7979, M38_1164_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1164_8))))
% 293.42/42.88 -> [26315] ~(unequally_directed_lines(skolem_N7979, M38_1164_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1164_8)))
% 293.42/42.88 -> [26316] (left_convergent_lines(skolem_N7979, M38_1164_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1164_8)))
% 293.42/42.88
% 293.42/42.88 [26315] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1164_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1164_8)))
% 293.42/42.88 -> [26339] ~unequally_directed_lines(skolem_N7979, M38_1164_8)
% 293.42/42.88 -> [26340] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1164_8))
% 293.42/42.88
% 293.42/42.88 [26339] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1164_8)
% 293.42/42.88
% 293.42/42.88 [26340] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1164_8))
% 293.42/42.88
% 293.42/42.88 [26316] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1164_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1164_8)))
% 293.42/42.88 -> [26319] left_convergent_lines(skolem_N7979, M38_1164_8)
% 293.42/42.88 -> [26320] left_convergent_lines(skolem_N7979, reverse_line(M38_1164_8))
% 293.42/42.88
% 293.42/42.88 [26319] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [26411] ~(left_apart_point(A39_2330_9, L40_2330_9) | left_apart_point(A39_2330_9, reverse_line(L40_2330_9)))
% 293.42/42.88
% 293.42/42.88 [26411] ALPHA_NOT_OR : ~(left_apart_point(A39_2330_9, L40_2330_9) | left_apart_point(A39_2330_9, reverse_line(L40_2330_9)))
% 293.42/42.88 -> [26414] ~left_apart_point(A39_2330_9, L40_2330_9), ~left_apart_point(A39_2330_9, reverse_line(L40_2330_9))
% 293.42/42.88
% 293.42/42.88 [26414] CLOSURE : ~left_apart_point(A39_2330_9, L40_2330_9)
% 293.42/42.88
% 293.42/42.88 [26320] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.88 -> [26538] ~(left_apart_point(A39_2355_9, L40_2355_9) | left_apart_point(A39_2355_9, reverse_line(L40_2355_9)))
% 293.42/42.88
% 293.42/42.88 [26538] ALPHA_NOT_OR : ~(left_apart_point(A39_2355_9, L40_2355_9) | left_apart_point(A39_2355_9, reverse_line(L40_2355_9)))
% 293.42/42.88 -> [26541] ~left_apart_point(A39_2355_9, L40_2355_9), ~left_apart_point(A39_2355_9, reverse_line(L40_2355_9))
% 293.42/42.88
% 293.42/42.88 [26541] CLOSURE : ~left_apart_point(A39_2355_9, L40_2355_9)
% 293.42/42.88
% 293.42/42.88 [33] ALPHA_AND : (before_on_line(skolem_L7777, skolem_A8080, skolem_B8181) & before_on_line(skolem_L7777, skolem_B8181, skolem_C8282))
% 293.42/42.88 -> [40] before_on_line(skolem_L7777, skolem_A8080, skolem_B8181), before_on_line(skolem_L7777, skolem_B8181, skolem_C8282)
% 293.42/42.88
% 293.42/42.88 [40] Rewrite : before_on_line(skolem_L7777, skolem_A8080, skolem_B8181)
% 293.42/42.88 -> [50] (((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)))
% 293.42/42.88
% 293.42/42.88 [50] Rewrite : before_on_line(skolem_L7777, skolem_B8181, skolem_C8282)
% 293.42/42.88 -> [57] (((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)))
% 293.42/42.88
% 293.42/42.88 [57] 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)))
% 293.42/42.88 -> [66] ((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))
% 293.42/42.88
% 293.42/42.88 [66] 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)))
% 293.42/42.88 -> [72] ((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))
% 293.42/42.88
% 293.42/42.88 [72] 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))))
% 293.42/42.88 -> [84] (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)))
% 293.42/42.88
% 293.42/42.88 [84] 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))))
% 293.42/42.88 -> [89] (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)))
% 293.42/42.88
% 293.42/42.88 [89] ALPHA_AND : (distinct_points(skolem_A8080, skolem_B8181) & ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777))))
% 293.42/42.88 -> [93] distinct_points(skolem_A8080, skolem_B8181), ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))
% 293.42/42.88
% 293.42/42.88 [93] ALPHA_NOT_OR : ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))
% 293.42/42.88 -> [105] ~left_apart_point(skolem_B8181, skolem_L7777), ~left_apart_point(skolem_B8181, reverse_line(skolem_L7777))
% 293.42/42.88
% 293.42/42.88 [105] ALPHA_AND : (distinct_points(skolem_B8181, skolem_C8282) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777))))
% 293.42/42.88 -> [114] distinct_points(skolem_B8181, skolem_C8282), ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))
% 293.42/42.88
% 293.42/42.88 [114] ALPHA_NOT_OR : ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))
% 293.42/42.88 -> [122] ~left_apart_point(skolem_C8282, skolem_L7777), ~left_apart_point(skolem_C8282, reverse_line(skolem_L7777))
% 293.42/42.88
% 293.42/42.88 [122] ALPHA_NOT_OR : ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))
% 293.42/42.88 -> [130] ~left_apart_point(skolem_A8080, skolem_L7777), ~left_apart_point(skolem_A8080, reverse_line(skolem_L7777))
% 293.42/42.88
% 293.42/42.88 [130] ALPHA_NOT_OR : ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))
% 293.42/42.88 -> [138] ~left_apart_point(skolem_B8181, skolem_L7777), ~left_apart_point(skolem_B8181, reverse_line(skolem_L7777))
% 293.42/42.88
% 293.42/42.88 [138] BETA_NOT_AND : ~(((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))) & ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.88 -> [176] ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.42/42.88 -> [177] ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.88
% 293.42/42.88 [177] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.88 -> [187] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.88
% 293.42/42.88 [187] BETA_NOT_AND : ~(((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 293.42/42.88 -> [415] ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.88 -> [416] ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.42/42.88
% 293.42/42.88 [415] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.88 -> [455] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.42/42.88 -> [456] ~~(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)))
% 293.42/42.88
% 293.42/42.88 [455] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.42/42.88 -> [524] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 293.42/42.88 -> [525] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.88
% 293.42/42.88 [524] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.88 -> [1267] ~distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.88
% 293.42/42.88 [1267] 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))))
% 293.42/42.88 -> [1309] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.88
% 293.42/42.88 [1309] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.88 -> [1310] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.88 -> [1311] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.88
% 293.42/42.88 [1310] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.88
% 293.42/42.88 [1311] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.88 -> [4107] distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.88 -> [4108] distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.88
% 293.42/42.88 [4108] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.88
% 293.42/42.88 [4107] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.88 -> [5115] ~distinct_lines(N27_143_3, N27_143_3)
% 293.42/42.88
% 293.42/42.88 [5115] 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))))
% 293.42/42.88 -> [5282] (distinct_lines(N27_143_3, N27_143_3) => (distinct_lines(N27_143_3, N27_143_3) | distinct_lines(N27_143_3, N27_143_3)))
% 293.42/42.88
% 293.42/42.88 [5282] BETA_IMPLY : (distinct_lines(N27_143_3, N27_143_3) => (distinct_lines(N27_143_3, N27_143_3) | distinct_lines(N27_143_3, N27_143_3)))
% 293.42/42.88 -> [5283] ~distinct_lines(N27_143_3, N27_143_3)
% 293.42/42.88 -> [5284] (distinct_lines(N27_143_3, N27_143_3) | distinct_lines(N27_143_3, N27_143_3))
% 293.42/42.88
% 293.42/42.88 [5284] BETA_OR : (distinct_lines(N27_143_3, N27_143_3) | distinct_lines(N27_143_3, N27_143_3))
% 293.42/42.88 -> [5287] distinct_lines(N27_143_3, N27_143_3)
% 293.42/42.88 -> [5288] distinct_lines(N27_143_3, N27_143_3)
% 293.42/42.88
% 293.42/42.88 [5287] CLOSURE : distinct_lines(N27_143_3, N27_143_3)
% 293.42/42.88
% 293.42/42.88 [5288] CLOSURE : distinct_lines(N27_143_3, N27_143_3)
% 293.42/42.88
% 293.42/42.88 [5283] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.88 -> [5492] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [5492] 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))))
% 293.42/42.88 -> [5841] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878)))
% 293.42/42.88
% 293.42/42.88 [5841] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878)))
% 293.42/42.88 -> [5842] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.88 -> [5843] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [5842] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.88
% 293.42/42.88 [5843] 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)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878))
% 293.42/42.88 -> [7836] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.88 -> [7837] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [7836] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [7837] 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))))))
% 293.42/42.88 -> [8764] ((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)))))
% 293.42/42.88
% 293.42/42.88 [8764] 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)))))
% 293.42/42.88 -> [8765] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [8766] ((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))))
% 293.42/42.88
% 293.42/42.88 [8765] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.88 -> [8800] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88 -> [8801] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [8801] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.88
% 293.42/42.88 [8800] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.88
% 293.42/42.88 [8766] 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))))
% 293.42/42.88 -> [11922] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [11923] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.88
% 293.42/42.88 [11922] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [12021] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [12021] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.88
% 293.42/42.88 [11923] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.88 -> [11924] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.88
% 293.42/42.88 [11924] 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)))))
% 293.42/42.88 -> [12408] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.88
% 293.42/42.88 [12408] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.88 -> [12409] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.88 -> [12410] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.89
% 293.42/42.89 [12409] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.89 -> [12486] ~line(skolem_M7878)
% 293.42/42.89 -> [12487] ~line(skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [12486] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [12897] ((unequally_directed_lines(skolem_N7979, M38_302_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_302_8))) => (left_convergent_lines(skolem_N7979, M38_302_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_302_8))))
% 293.42/42.89
% 293.42/42.89 [12897] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_302_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_302_8))) => (left_convergent_lines(skolem_N7979, M38_302_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_302_8))))
% 293.42/42.89 -> [12899] ~(unequally_directed_lines(skolem_N7979, M38_302_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_302_8)))
% 293.42/42.89 -> [12900] (left_convergent_lines(skolem_N7979, M38_302_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_302_8)))
% 293.42/42.89
% 293.42/42.89 [12899] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_302_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_302_8)))
% 293.42/42.89 -> [12960] ~unequally_directed_lines(skolem_N7979, M38_302_8)
% 293.42/42.89 -> [12961] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_302_8))
% 293.42/42.89
% 293.42/42.89 [12960] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_302_8)
% 293.42/42.89
% 293.42/42.89 [12961] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_302_8))
% 293.42/42.89
% 293.42/42.89 [12900] BETA_OR : (left_convergent_lines(skolem_N7979, M38_302_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_302_8)))
% 293.42/42.89 -> [12901] left_convergent_lines(skolem_N7979, M38_302_8)
% 293.42/42.89 -> [12902] left_convergent_lines(skolem_N7979, reverse_line(M38_302_8))
% 293.42/42.89
% 293.42/42.89 [12901] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [14301] ~(left_apart_point(A39_726_9, L40_726_9) | left_apart_point(A39_726_9, reverse_line(L40_726_9)))
% 293.42/42.89
% 293.42/42.89 [14301] ALPHA_NOT_OR : ~(left_apart_point(A39_726_9, L40_726_9) | left_apart_point(A39_726_9, reverse_line(L40_726_9)))
% 293.42/42.89 -> [14305] ~left_apart_point(A39_726_9, L40_726_9), ~left_apart_point(A39_726_9, reverse_line(L40_726_9))
% 293.42/42.89
% 293.42/42.89 [14305] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.89 -> [14514] ~(left_convergent_lines(L41_92_10, M42_92_10) | left_convergent_lines(L41_92_10, reverse_line(M42_92_10)))
% 293.42/42.89
% 293.42/42.89 [14514] ALPHA_NOT_OR : ~(left_convergent_lines(L41_92_10, M42_92_10) | left_convergent_lines(L41_92_10, reverse_line(M42_92_10)))
% 293.42/42.89 -> [14516] ~left_convergent_lines(L41_92_10, M42_92_10), ~left_convergent_lines(L41_92_10, reverse_line(M42_92_10))
% 293.42/42.89
% 293.42/42.89 [14516] CLOSURE : ~left_convergent_lines(L41_92_10, M42_92_10)
% 293.42/42.89
% 293.42/42.89 [12902] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [14428] ~(left_apart_point(A39_745_9, L40_745_9) | left_apart_point(A39_745_9, reverse_line(L40_745_9)))
% 293.42/42.89
% 293.42/42.89 [14428] ALPHA_NOT_OR : ~(left_apart_point(A39_745_9, L40_745_9) | left_apart_point(A39_745_9, reverse_line(L40_745_9)))
% 293.42/42.89 -> [14430] ~left_apart_point(A39_745_9, L40_745_9), ~left_apart_point(A39_745_9, reverse_line(L40_745_9))
% 293.42/42.89
% 293.42/42.89 [14430] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.89 -> [14989] ~(left_convergent_lines(L41_95_10, M42_95_10) | left_convergent_lines(L41_95_10, reverse_line(M42_95_10)))
% 293.42/42.89
% 293.42/42.89 [14989] ALPHA_NOT_OR : ~(left_convergent_lines(L41_95_10, M42_95_10) | left_convergent_lines(L41_95_10, reverse_line(M42_95_10)))
% 293.42/42.89 -> [14991] ~left_convergent_lines(L41_95_10, M42_95_10), ~left_convergent_lines(L41_95_10, reverse_line(M42_95_10))
% 293.42/42.89
% 293.42/42.89 [14991] CLOSURE : ~left_convergent_lines(L41_95_10, M42_95_10)
% 293.42/42.89
% 293.42/42.89 [12487] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [12777] ((unequally_directed_lines(skolem_N7979, M38_299_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_299_8))) => (left_convergent_lines(skolem_N7979, M38_299_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_299_8))))
% 293.42/42.89
% 293.42/42.89 [12777] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_299_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_299_8))) => (left_convergent_lines(skolem_N7979, M38_299_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_299_8))))
% 293.42/42.89 -> [12780] ~(unequally_directed_lines(skolem_N7979, M38_299_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_299_8)))
% 293.42/42.89 -> [12781] (left_convergent_lines(skolem_N7979, M38_299_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_299_8)))
% 293.42/42.89
% 293.42/42.89 [12780] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_299_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_299_8)))
% 293.42/42.89 -> [12848] ~unequally_directed_lines(skolem_N7979, M38_299_8)
% 293.42/42.89 -> [12849] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_299_8))
% 293.42/42.89
% 293.42/42.89 [12848] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_299_8)
% 293.42/42.89
% 293.42/42.89 [12849] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_299_8))
% 293.42/42.89
% 293.42/42.89 [12781] BETA_OR : (left_convergent_lines(skolem_N7979, M38_299_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_299_8)))
% 293.42/42.89 -> [12784] left_convergent_lines(skolem_N7979, M38_299_8)
% 293.42/42.89 -> [12785] left_convergent_lines(skolem_N7979, reverse_line(M38_299_8))
% 293.42/42.89
% 293.42/42.89 [12785] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [14711] ~(left_apart_point(A39_776_9, L40_776_9) | left_apart_point(A39_776_9, reverse_line(L40_776_9)))
% 293.42/42.89
% 293.42/42.89 [14711] ALPHA_NOT_OR : ~(left_apart_point(A39_776_9, L40_776_9) | left_apart_point(A39_776_9, reverse_line(L40_776_9)))
% 293.42/42.89 -> [14712] ~left_apart_point(A39_776_9, L40_776_9), ~left_apart_point(A39_776_9, reverse_line(L40_776_9))
% 293.42/42.89
% 293.42/42.89 [14712] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.89 -> [15094] ~(left_convergent_lines(L41_97_10, M42_97_10) | left_convergent_lines(L41_97_10, reverse_line(M42_97_10)))
% 293.42/42.89
% 293.42/42.89 [15094] ALPHA_NOT_OR : ~(left_convergent_lines(L41_97_10, M42_97_10) | left_convergent_lines(L41_97_10, reverse_line(M42_97_10)))
% 293.42/42.89 -> [15096] ~left_convergent_lines(L41_97_10, M42_97_10), ~left_convergent_lines(L41_97_10, reverse_line(M42_97_10))
% 293.42/42.89
% 293.42/42.89 [15096] CLOSURE : ~left_convergent_lines(L41_97_10, M42_97_10)
% 293.42/42.89
% 293.42/42.89 [12784] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [14743] ~(left_apart_point(A39_782_9, L40_782_9) | left_apart_point(A39_782_9, reverse_line(L40_782_9)))
% 293.42/42.89
% 293.42/42.89 [14743] ALPHA_NOT_OR : ~(left_apart_point(A39_782_9, L40_782_9) | left_apart_point(A39_782_9, reverse_line(L40_782_9)))
% 293.42/42.89 -> [14744] ~left_apart_point(A39_782_9, L40_782_9), ~left_apart_point(A39_782_9, reverse_line(L40_782_9))
% 293.42/42.89
% 293.42/42.89 [14744] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.89 -> [15224] ~(left_convergent_lines(L41_98_10, M42_98_10) | left_convergent_lines(L41_98_10, reverse_line(M42_98_10)))
% 293.42/42.89
% 293.42/42.89 [15224] ALPHA_NOT_OR : ~(left_convergent_lines(L41_98_10, M42_98_10) | left_convergent_lines(L41_98_10, reverse_line(M42_98_10)))
% 293.42/42.89 -> [15225] ~left_convergent_lines(L41_98_10, M42_98_10), ~left_convergent_lines(L41_98_10, reverse_line(M42_98_10))
% 293.42/42.89
% 293.42/42.89 [15225] CLOSURE : ~left_convergent_lines(L41_98_10, M42_98_10)
% 293.42/42.89
% 293.42/42.89 [12410] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [12411] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89 -> [12412] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [12411] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [12412] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [12786] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.89
% 293.42/42.89 [12786] 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))))
% 293.42/42.89 -> [12790] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [12791] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.89
% 293.42/42.89 [12790] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [12856] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.89 -> [12857] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [12856] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [12857] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [12791] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [12796] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.89 -> [12797] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [12796] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [13027] ~(left_apart_point(A39_585_9, L40_585_9) | left_apart_point(A39_585_9, reverse_line(L40_585_9)))
% 293.42/42.89
% 293.42/42.89 [13027] ALPHA_NOT_OR : ~(left_apart_point(A39_585_9, L40_585_9) | left_apart_point(A39_585_9, reverse_line(L40_585_9)))
% 293.42/42.89 -> [13029] ~left_apart_point(A39_585_9, L40_585_9), ~left_apart_point(A39_585_9, reverse_line(L40_585_9))
% 293.42/42.89
% 293.42/42.89 [13029] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.89 -> [13091] ~(left_convergent_lines(L41_87_10, M42_87_10) | left_convergent_lines(L41_87_10, reverse_line(M42_87_10)))
% 293.42/42.89
% 293.42/42.89 [13091] ALPHA_NOT_OR : ~(left_convergent_lines(L41_87_10, M42_87_10) | left_convergent_lines(L41_87_10, reverse_line(M42_87_10)))
% 293.42/42.89 -> [13095] ~left_convergent_lines(L41_87_10, M42_87_10), ~left_convergent_lines(L41_87_10, reverse_line(M42_87_10))
% 293.42/42.89
% 293.42/42.89 [13095] CLOSURE : ~left_convergent_lines(L41_87_10, M42_87_10)
% 293.42/42.89
% 293.42/42.89 [12797] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [15381] ~(left_apart_point(A39_874_9, L40_874_9) | left_apart_point(A39_874_9, reverse_line(L40_874_9)))
% 293.42/42.89
% 293.42/42.89 [15381] ALPHA_NOT_OR : ~(left_apart_point(A39_874_9, L40_874_9) | left_apart_point(A39_874_9, reverse_line(L40_874_9)))
% 293.42/42.89 -> [15382] ~left_apart_point(A39_874_9, L40_874_9), ~left_apart_point(A39_874_9, reverse_line(L40_874_9))
% 293.42/42.89
% 293.42/42.89 [15382] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.89 -> [16274] ~(left_convergent_lines(L41_115_10, M42_115_10) | left_convergent_lines(L41_115_10, reverse_line(M42_115_10)))
% 293.42/42.89
% 293.42/42.89 [16274] ALPHA_NOT_OR : ~(left_convergent_lines(L41_115_10, M42_115_10) | left_convergent_lines(L41_115_10, reverse_line(M42_115_10)))
% 293.42/42.89 -> [16277] ~left_convergent_lines(L41_115_10, M42_115_10), ~left_convergent_lines(L41_115_10, reverse_line(M42_115_10))
% 293.42/42.89
% 293.42/42.89 [16277] CLOSURE : ~left_convergent_lines(L41_115_10, M42_115_10)
% 293.42/42.89
% 293.42/42.89 [525] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.89 -> [551] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.89
% 293.42/42.89 [551] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.89 -> [552] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.42/42.89 -> [553] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [552] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.89 -> [799] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.89
% 293.42/42.89 [799] 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))))
% 293.42/42.89 -> [2234] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.89
% 293.42/42.89 [2234] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.89 -> [2236] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.89 -> [2237] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.89
% 293.42/42.89 [2236] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.89
% 293.42/42.89 [2237] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.89 -> [6335] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.89 -> [6336] distinct_points(skolem_C8282, skolem_B8181)
% 293.42/42.89
% 293.42/42.89 [6335] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.89
% 293.42/42.89 [6336] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.89 -> [8125] ~distinct_lines(N27_256_3, N27_256_3)
% 293.42/42.89
% 293.42/42.89 [8125] 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))))
% 293.42/42.89 -> [8145] (distinct_lines(N27_256_3, N27_256_3) => (distinct_lines(N27_256_3, N27_256_3) | distinct_lines(N27_256_3, N27_256_3)))
% 293.42/42.89
% 293.42/42.89 [8145] BETA_IMPLY : (distinct_lines(N27_256_3, N27_256_3) => (distinct_lines(N27_256_3, N27_256_3) | distinct_lines(N27_256_3, N27_256_3)))
% 293.42/42.89 -> [8146] ~distinct_lines(N27_256_3, N27_256_3)
% 293.42/42.89 -> [8147] (distinct_lines(N27_256_3, N27_256_3) | distinct_lines(N27_256_3, N27_256_3))
% 293.42/42.89
% 293.42/42.89 [8147] BETA_OR : (distinct_lines(N27_256_3, N27_256_3) | distinct_lines(N27_256_3, N27_256_3))
% 293.42/42.89 -> [8148] distinct_lines(N27_256_3, N27_256_3)
% 293.42/42.89 -> [8149] distinct_lines(N27_256_3, N27_256_3)
% 293.42/42.89
% 293.42/42.89 [8148] CLOSURE : distinct_lines(N27_256_3, N27_256_3)
% 293.42/42.89
% 293.42/42.89 [8149] CLOSURE : distinct_lines(N27_256_3, N27_256_3)
% 293.42/42.89
% 293.42/42.89 [8146] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.89 -> [8181] ~unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.89
% 293.42/42.89 [8181] 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))))
% 293.42/42.89 -> [8257] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.89
% 293.42/42.89 [8257] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.89 -> [8258] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.89 -> [8259] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.89
% 293.42/42.89 [8258] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.89
% 293.42/42.89 [8259] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.89 -> [10635] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.89 -> [10636] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.89
% 293.42/42.89 [10636] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.89
% 293.42/42.89 [10635] 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))))))
% 293.42/42.89 -> [11199] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_147_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_147_6))) | (unequally_directed_lines(skolem_N7979, N34_147_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_147_6)))))
% 293.42/42.89
% 293.42/42.89 [11199] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_147_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_147_6))) | (unequally_directed_lines(skolem_N7979, N34_147_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_147_6)))))
% 293.42/42.89 -> [11204] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [11205] ((unequally_directed_lines(skolem_M7878, N34_147_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_147_6))) | (unequally_directed_lines(skolem_N7979, N34_147_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_147_6))))
% 293.42/42.89
% 293.42/42.89 [11204] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [11227] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89 -> [11228] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [11228] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [11227] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89
% 293.42/42.89 [11205] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_147_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_147_6))) | (unequally_directed_lines(skolem_N7979, N34_147_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_147_6))))
% 293.42/42.89 -> [11430] (unequally_directed_lines(skolem_M7878, N34_147_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_147_6)))
% 293.42/42.89 -> [11431] (unequally_directed_lines(skolem_N7979, N34_147_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_147_6)))
% 293.42/42.89
% 293.42/42.89 [11431] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_147_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_147_6)))
% 293.42/42.89 -> [11436] unequally_directed_lines(skolem_N7979, N34_147_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_147_6))
% 293.42/42.89
% 293.42/42.89 [11436] 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)))))
% 293.42/42.89 -> [11502] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.89
% 293.42/42.89 [11502] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.89 -> [11507] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.89 -> [11508] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.89
% 293.42/42.89 [11508] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.89 -> [11513] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.89 -> [11514] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.89
% 293.42/42.89 [11513] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.89
% 293.42/42.89 [11514] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [11618] ((unequally_directed_lines(skolem_N7979, M38_239_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_239_8))) => (left_convergent_lines(skolem_N7979, M38_239_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_239_8))))
% 293.42/42.89
% 293.42/42.89 [11618] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_239_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_239_8))) => (left_convergent_lines(skolem_N7979, M38_239_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_239_8))))
% 293.42/42.89 -> [11621] ~(unequally_directed_lines(skolem_N7979, M38_239_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_239_8)))
% 293.42/42.89 -> [11622] (left_convergent_lines(skolem_N7979, M38_239_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_239_8)))
% 293.42/42.89
% 293.42/42.89 [11622] BETA_OR : (left_convergent_lines(skolem_N7979, M38_239_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_239_8)))
% 293.42/42.89 -> [11628] left_convergent_lines(skolem_N7979, M38_239_8)
% 293.42/42.89 -> [11629] left_convergent_lines(skolem_N7979, reverse_line(M38_239_8))
% 293.42/42.89
% 293.42/42.89 [11629] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [11769] ~(left_apart_point(A39_444_9, L40_444_9) | left_apart_point(A39_444_9, reverse_line(L40_444_9)))
% 293.42/42.89
% 293.42/42.89 [11769] ALPHA_NOT_OR : ~(left_apart_point(A39_444_9, L40_444_9) | left_apart_point(A39_444_9, reverse_line(L40_444_9)))
% 293.42/42.89 -> [11771] ~left_apart_point(A39_444_9, L40_444_9), ~left_apart_point(A39_444_9, reverse_line(L40_444_9))
% 293.42/42.89
% 293.42/42.89 [11771] CLOSURE : ~left_apart_point(A39_444_9, L40_444_9)
% 293.42/42.89
% 293.42/42.89 [11628] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [11814] ~(left_apart_point(A39_451_9, L40_451_9) | left_apart_point(A39_451_9, reverse_line(L40_451_9)))
% 293.42/42.89
% 293.42/42.89 [11814] ALPHA_NOT_OR : ~(left_apart_point(A39_451_9, L40_451_9) | left_apart_point(A39_451_9, reverse_line(L40_451_9)))
% 293.42/42.89 -> [11817] ~left_apart_point(A39_451_9, L40_451_9), ~left_apart_point(A39_451_9, reverse_line(L40_451_9))
% 293.42/42.89
% 293.42/42.89 [11817] CLOSURE : ~left_apart_point(A39_451_9, L40_451_9)
% 293.42/42.89
% 293.42/42.89 [11621] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_239_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_239_8)))
% 293.42/42.89 -> [11685] ~unequally_directed_lines(skolem_N7979, M38_239_8)
% 293.42/42.89 -> [11686] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_239_8))
% 293.42/42.89
% 293.42/42.89 [11686] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_239_8))
% 293.42/42.89
% 293.42/42.89 [11685] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_239_8)
% 293.42/42.89
% 293.42/42.89 [11507] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.89 -> [11550] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.89 -> [11551] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.89
% 293.42/42.89 [11550] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [11656] ((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))))
% 293.42/42.89
% 293.42/42.89 [11656] 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))))
% 293.42/42.89 -> [11657] ~(unequally_directed_lines(skolem_N7979, M38_241_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_241_8)))
% 293.42/42.89 -> [11658] (left_convergent_lines(skolem_N7979, M38_241_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_241_8)))
% 293.42/42.89
% 293.42/42.89 [11658] BETA_OR : (left_convergent_lines(skolem_N7979, M38_241_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_241_8)))
% 293.42/42.89 -> [11664] left_convergent_lines(skolem_N7979, M38_241_8)
% 293.42/42.89 -> [11665] left_convergent_lines(skolem_N7979, reverse_line(M38_241_8))
% 293.42/42.89
% 293.42/42.89 [11664] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [11836] ~(left_apart_point(A39_457_9, L40_457_9) | left_apart_point(A39_457_9, reverse_line(L40_457_9)))
% 293.42/42.89
% 293.42/42.89 [11836] ALPHA_NOT_OR : ~(left_apart_point(A39_457_9, L40_457_9) | left_apart_point(A39_457_9, reverse_line(L40_457_9)))
% 293.42/42.89 -> [11838] ~left_apart_point(A39_457_9, L40_457_9), ~left_apart_point(A39_457_9, reverse_line(L40_457_9))
% 293.42/42.89
% 293.42/42.89 [11838] CLOSURE : ~left_apart_point(A39_457_9, L40_457_9)
% 293.42/42.89
% 293.42/42.89 [11665] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [11839] ~(left_apart_point(A39_458_9, L40_458_9) | left_apart_point(A39_458_9, reverse_line(L40_458_9)))
% 293.42/42.89
% 293.42/42.89 [11839] ALPHA_NOT_OR : ~(left_apart_point(A39_458_9, L40_458_9) | left_apart_point(A39_458_9, reverse_line(L40_458_9)))
% 293.42/42.89 -> [11840] ~left_apart_point(A39_458_9, L40_458_9), ~left_apart_point(A39_458_9, reverse_line(L40_458_9))
% 293.42/42.89
% 293.42/42.89 [11840] CLOSURE : ~left_apart_point(A39_458_9, L40_458_9)
% 293.42/42.89
% 293.42/42.89 [11657] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_241_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_241_8)))
% 293.42/42.89 -> [11711] ~unequally_directed_lines(skolem_N7979, M38_241_8)
% 293.42/42.89 -> [11712] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_241_8))
% 293.42/42.89
% 293.42/42.89 [11712] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_241_8))
% 293.42/42.89
% 293.42/42.89 [11711] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_241_8)
% 293.42/42.89
% 293.42/42.89 [11551] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [11675] ((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))))
% 293.42/42.89
% 293.42/42.89 [11675] 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))))
% 293.42/42.89 -> [11680] ~(unequally_directed_lines(skolem_N7979, M38_242_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_242_8)))
% 293.42/42.89 -> [11681] (left_convergent_lines(skolem_N7979, M38_242_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_242_8)))
% 293.42/42.89
% 293.42/42.89 [11680] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_242_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_242_8)))
% 293.42/42.89 -> [11720] ~unequally_directed_lines(skolem_N7979, M38_242_8)
% 293.42/42.89 -> [11721] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_242_8))
% 293.42/42.89
% 293.42/42.89 [11721] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_242_8))
% 293.42/42.89
% 293.42/42.89 [11720] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_242_8)
% 293.42/42.89
% 293.42/42.89 [11681] BETA_OR : (left_convergent_lines(skolem_N7979, M38_242_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_242_8)))
% 293.42/42.89 -> [11683] left_convergent_lines(skolem_N7979, M38_242_8)
% 293.42/42.89 -> [11684] left_convergent_lines(skolem_N7979, reverse_line(M38_242_8))
% 293.42/42.89
% 293.42/42.89 [11683] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [11850] ~(left_apart_point(A39_462_9, L40_462_9) | left_apart_point(A39_462_9, reverse_line(L40_462_9)))
% 293.42/42.89
% 293.42/42.89 [11850] ALPHA_NOT_OR : ~(left_apart_point(A39_462_9, L40_462_9) | left_apart_point(A39_462_9, reverse_line(L40_462_9)))
% 293.42/42.89 -> [11851] ~left_apart_point(A39_462_9, L40_462_9), ~left_apart_point(A39_462_9, reverse_line(L40_462_9))
% 293.42/42.89
% 293.42/42.89 [11851] CLOSURE : ~left_apart_point(A39_462_9, L40_462_9)
% 293.42/42.89
% 293.42/42.89 [11684] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [11880] ~(left_apart_point(A39_468_9, L40_468_9) | left_apart_point(A39_468_9, reverse_line(L40_468_9)))
% 293.42/42.89
% 293.42/42.89 [11880] ALPHA_NOT_OR : ~(left_apart_point(A39_468_9, L40_468_9) | left_apart_point(A39_468_9, reverse_line(L40_468_9)))
% 293.42/42.89 -> [11884] ~left_apart_point(A39_468_9, L40_468_9), ~left_apart_point(A39_468_9, reverse_line(L40_468_9))
% 293.42/42.89
% 293.42/42.89 [11884] CLOSURE : ~left_apart_point(A39_468_9, L40_468_9)
% 293.42/42.89
% 293.42/42.89 [11430] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_147_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_147_6)))
% 293.42/42.89 -> [11438] unequally_directed_lines(skolem_M7878, N34_147_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_147_6))
% 293.42/42.89
% 293.42/42.89 [11438] 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)))))
% 293.42/42.89 -> [11535] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.89
% 293.42/42.89 [11535] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.89 -> [11538] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.89 -> [11539] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.89
% 293.42/42.89 [11539] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.89 -> [11542] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.89 -> [11543] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.89
% 293.42/42.89 [11542] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.89
% 293.42/42.89 [11543] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [11648] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.89
% 293.42/42.89 [11648] 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))))
% 293.42/42.89 -> [11649] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [11650] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.89
% 293.42/42.89 [11650] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [11651] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.89 -> [11652] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [11652] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [11784] ~(left_apart_point(A39_447_9, L40_447_9) | left_apart_point(A39_447_9, reverse_line(L40_447_9)))
% 293.42/42.89
% 293.42/42.89 [11784] ALPHA_NOT_OR : ~(left_apart_point(A39_447_9, L40_447_9) | left_apart_point(A39_447_9, reverse_line(L40_447_9)))
% 293.42/42.89 -> [11786] ~left_apart_point(A39_447_9, L40_447_9), ~left_apart_point(A39_447_9, reverse_line(L40_447_9))
% 293.42/42.89
% 293.42/42.89 [11786] CLOSURE : ~left_apart_point(A39_447_9, L40_447_9)
% 293.42/42.89
% 293.42/42.89 [11651] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [11829] ~(left_apart_point(A39_454_9, L40_454_9) | left_apart_point(A39_454_9, reverse_line(L40_454_9)))
% 293.42/42.89
% 293.42/42.89 [11829] ALPHA_NOT_OR : ~(left_apart_point(A39_454_9, L40_454_9) | left_apart_point(A39_454_9, reverse_line(L40_454_9)))
% 293.42/42.89 -> [11830] ~left_apart_point(A39_454_9, L40_454_9), ~left_apart_point(A39_454_9, reverse_line(L40_454_9))
% 293.42/42.89
% 293.42/42.89 [11830] CLOSURE : ~left_apart_point(A39_454_9, L40_454_9)
% 293.42/42.89
% 293.42/42.89 [11649] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [11703] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.89 -> [11704] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [11704] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [11703] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [11538] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.89 -> [12048] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.89 -> [12049] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.89
% 293.42/42.89 [12049] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [12119] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.89
% 293.42/42.89 [12119] 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))))
% 293.42/42.89 -> [12120] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [12121] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.89
% 293.42/42.89 [12121] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [12122] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.89 -> [12123] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [12123] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [12192] ~(left_apart_point(A39_503_9, L40_503_9) | left_apart_point(A39_503_9, reverse_line(L40_503_9)))
% 293.42/42.89
% 293.42/42.89 [12192] ALPHA_NOT_OR : ~(left_apart_point(A39_503_9, L40_503_9) | left_apart_point(A39_503_9, reverse_line(L40_503_9)))
% 293.42/42.89 -> [12194] ~left_apart_point(A39_503_9, L40_503_9), ~left_apart_point(A39_503_9, reverse_line(L40_503_9))
% 293.42/42.89
% 293.42/42.89 [12194] CLOSURE : ~left_apart_point(A39_503_9, L40_503_9)
% 293.42/42.89
% 293.42/42.89 [12122] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [12206] ~(left_apart_point(A39_505_9, L40_505_9) | left_apart_point(A39_505_9, reverse_line(L40_505_9)))
% 293.42/42.89
% 293.42/42.89 [12206] ALPHA_NOT_OR : ~(left_apart_point(A39_505_9, L40_505_9) | left_apart_point(A39_505_9, reverse_line(L40_505_9)))
% 293.42/42.89 -> [12211] ~left_apart_point(A39_505_9, L40_505_9), ~left_apart_point(A39_505_9, reverse_line(L40_505_9))
% 293.42/42.89
% 293.42/42.89 [12211] CLOSURE : ~left_apart_point(A39_505_9, L40_505_9)
% 293.42/42.89
% 293.42/42.89 [12120] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [12141] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.89 -> [12142] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [12142] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [12141] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [12048] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [12110] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.89
% 293.42/42.89 [12110] 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))))
% 293.42/42.89 -> [12111] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [12112] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.89
% 293.42/42.89 [12111] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [12131] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.89 -> [12132] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [12131] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [12132] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [12112] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [12114] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.89 -> [12115] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [12114] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [12200] ~(left_apart_point(A39_504_9, L40_504_9) | left_apart_point(A39_504_9, reverse_line(L40_504_9)))
% 293.42/42.89
% 293.42/42.89 [12200] ALPHA_NOT_OR : ~(left_apart_point(A39_504_9, L40_504_9) | left_apart_point(A39_504_9, reverse_line(L40_504_9)))
% 293.42/42.89 -> [12202] ~left_apart_point(A39_504_9, L40_504_9), ~left_apart_point(A39_504_9, reverse_line(L40_504_9))
% 293.42/42.89
% 293.42/42.89 [12202] CLOSURE : ~left_apart_point(A39_504_9, L40_504_9)
% 293.42/42.89
% 293.42/42.89 [12115] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [15976] ~(left_apart_point(A39_929_9, L40_929_9) | left_apart_point(A39_929_9, reverse_line(L40_929_9)))
% 293.42/42.89
% 293.42/42.89 [15976] ALPHA_NOT_OR : ~(left_apart_point(A39_929_9, L40_929_9) | left_apart_point(A39_929_9, reverse_line(L40_929_9)))
% 293.42/42.89 -> [15979] ~left_apart_point(A39_929_9, L40_929_9), ~left_apart_point(A39_929_9, reverse_line(L40_929_9))
% 293.42/42.89
% 293.42/42.89 [15979] CLOSURE : ~left_apart_point(A39_929_9, L40_929_9)
% 293.42/42.89
% 293.42/42.89 [553] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.89 -> [1069] ~distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.89
% 293.42/42.89 [1069] 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))))
% 293.42/42.89 -> [1342] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.89
% 293.42/42.89 [1342] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.89 -> [1343] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.89 -> [1344] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.89
% 293.42/42.89 [1343] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.89
% 293.42/42.89 [1344] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.89 -> [4115] distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.89 -> [4116] distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.89
% 293.42/42.89 [4116] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.89
% 293.42/42.89 [4115] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.89 -> [6150] ~distinct_lines(N27_199_3, N27_199_3)
% 293.42/42.89
% 293.42/42.89 [6150] 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))))
% 293.42/42.89 -> [6303] (distinct_lines(N27_199_3, N27_199_3) => (distinct_lines(N27_199_3, N27_199_3) | distinct_lines(N27_199_3, N27_199_3)))
% 293.42/42.89
% 293.42/42.89 [6303] BETA_IMPLY : (distinct_lines(N27_199_3, N27_199_3) => (distinct_lines(N27_199_3, N27_199_3) | distinct_lines(N27_199_3, N27_199_3)))
% 293.42/42.89 -> [6305] ~distinct_lines(N27_199_3, N27_199_3)
% 293.42/42.89 -> [6306] (distinct_lines(N27_199_3, N27_199_3) | distinct_lines(N27_199_3, N27_199_3))
% 293.42/42.89
% 293.42/42.89 [6306] BETA_OR : (distinct_lines(N27_199_3, N27_199_3) | distinct_lines(N27_199_3, N27_199_3))
% 293.42/42.89 -> [6311] distinct_lines(N27_199_3, N27_199_3)
% 293.42/42.89 -> [6312] distinct_lines(N27_199_3, N27_199_3)
% 293.42/42.89
% 293.42/42.89 [6312] CLOSURE : distinct_lines(N27_199_3, N27_199_3)
% 293.42/42.89
% 293.42/42.89 [6311] CLOSURE : distinct_lines(N27_199_3, N27_199_3)
% 293.42/42.89
% 293.42/42.89 [6305] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.89 -> [6505] ~unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.89
% 293.42/42.89 [6505] 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))))
% 293.42/42.89 -> [6694] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.89
% 293.42/42.89 [6694] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.89 -> [6695] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.89 -> [6696] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.89
% 293.42/42.89 [6695] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.89
% 293.42/42.89 [6696] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.89 -> [9837] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.89 -> [9838] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.89
% 293.42/42.89 [9838] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.89
% 293.42/42.89 [9837] 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))))))
% 293.42/42.89 -> [10306] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_122_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_122_6))) | (unequally_directed_lines(skolem_N7979, N34_122_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_122_6)))))
% 293.42/42.89
% 293.42/42.89 [10306] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_122_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_122_6))) | (unequally_directed_lines(skolem_N7979, N34_122_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_122_6)))))
% 293.42/42.89 -> [10307] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [10308] ((unequally_directed_lines(skolem_M7878, N34_122_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_122_6))) | (unequally_directed_lines(skolem_N7979, N34_122_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_122_6))))
% 293.42/42.89
% 293.42/42.89 [10307] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [10320] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89 -> [10321] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [10321] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [10320] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89
% 293.42/42.89 [10308] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_122_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_122_6))) | (unequally_directed_lines(skolem_N7979, N34_122_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_122_6))))
% 293.42/42.89 -> [10926] (unequally_directed_lines(skolem_M7878, N34_122_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_122_6)))
% 293.42/42.89 -> [10927] (unequally_directed_lines(skolem_N7979, N34_122_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_122_6)))
% 293.42/42.89
% 293.42/42.89 [10926] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_122_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_122_6)))
% 293.42/42.89 -> [10935] unequally_directed_lines(skolem_M7878, N34_122_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_122_6))
% 293.42/42.89
% 293.42/42.89 [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)))))
% 293.42/42.89 -> [10991] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.89
% 293.42/42.89 [10991] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.89 -> [10994] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.89 -> [10995] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.89
% 293.42/42.89 [10994] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.89 -> [11010] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.89 -> [11011] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.89
% 293.42/42.89 [11011] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [11112] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.89
% 293.42/42.89 [11112] 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))))
% 293.42/42.89 -> [11114] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [11115] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.89
% 293.42/42.89 [11115] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [11118] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.89 -> [11119] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [11118] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [11307] ~(left_apart_point(A39_403_9, L40_403_9) | left_apart_point(A39_403_9, reverse_line(L40_403_9)))
% 293.42/42.89
% 293.42/42.89 [11307] ALPHA_NOT_OR : ~(left_apart_point(A39_403_9, L40_403_9) | left_apart_point(A39_403_9, reverse_line(L40_403_9)))
% 293.42/42.89 -> [11310] ~left_apart_point(A39_403_9, L40_403_9), ~left_apart_point(A39_403_9, reverse_line(L40_403_9))
% 293.42/42.89
% 293.42/42.89 [11310] CLOSURE : ~left_apart_point(A39_403_9, L40_403_9)
% 293.42/42.89
% 293.42/42.89 [11119] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [11312] ~(left_apart_point(A39_404_9, L40_404_9) | left_apart_point(A39_404_9, reverse_line(L40_404_9)))
% 293.42/42.89
% 293.42/42.89 [11312] ALPHA_NOT_OR : ~(left_apart_point(A39_404_9, L40_404_9) | left_apart_point(A39_404_9, reverse_line(L40_404_9)))
% 293.42/42.89 -> [11313] ~left_apart_point(A39_404_9, L40_404_9), ~left_apart_point(A39_404_9, reverse_line(L40_404_9))
% 293.42/42.89
% 293.42/42.89 [11313] CLOSURE : ~left_apart_point(A39_404_9, L40_404_9)
% 293.42/42.89
% 293.42/42.89 [11114] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [11161] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.89 -> [11162] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [11162] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [11161] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [11010] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [11148] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.89
% 293.42/42.89 [11148] 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))))
% 293.42/42.89 -> [11151] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [11152] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.89
% 293.42/42.89 [11151] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [11183] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.89 -> [11184] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [11184] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [11183] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [11152] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [11153] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.89 -> [11154] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [11153] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [11336] ~(left_apart_point(A39_411_9, L40_411_9) | left_apart_point(A39_411_9, reverse_line(L40_411_9)))
% 293.42/42.89
% 293.42/42.89 [11336] ALPHA_NOT_OR : ~(left_apart_point(A39_411_9, L40_411_9) | left_apart_point(A39_411_9, reverse_line(L40_411_9)))
% 293.42/42.89 -> [11337] ~left_apart_point(A39_411_9, L40_411_9), ~left_apart_point(A39_411_9, reverse_line(L40_411_9))
% 293.42/42.89
% 293.42/42.89 [11337] CLOSURE : ~left_apart_point(A39_411_9, L40_411_9)
% 293.42/42.89
% 293.42/42.89 [11154] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [11301] ~(left_apart_point(A39_402_9, L40_402_9) | left_apart_point(A39_402_9, reverse_line(L40_402_9)))
% 293.42/42.89
% 293.42/42.89 [11301] ALPHA_NOT_OR : ~(left_apart_point(A39_402_9, L40_402_9) | left_apart_point(A39_402_9, reverse_line(L40_402_9)))
% 293.42/42.89 -> [11304] ~left_apart_point(A39_402_9, L40_402_9), ~left_apart_point(A39_402_9, reverse_line(L40_402_9))
% 293.42/42.89
% 293.42/42.89 [11304] CLOSURE : ~left_apart_point(A39_402_9, L40_402_9)
% 293.42/42.89
% 293.42/42.89 [10995] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.89 -> [11001] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.89 -> [11002] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.89
% 293.42/42.89 [11001] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.89
% 293.42/42.89 [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)))))
% 293.42/42.89 -> [11123] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.89
% 293.42/42.89 [11123] 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))))
% 293.42/42.89 -> [11124] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [11125] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.89
% 293.42/42.89 [11124] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [11172] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.89 -> [11173] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [11173] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [11172] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [11125] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [11126] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.89 -> [11127] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [11127] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [11270] ~(left_apart_point(A39_398_9, L40_398_9) | left_apart_point(A39_398_9, reverse_line(L40_398_9)))
% 293.42/42.89
% 293.42/42.89 [11270] ALPHA_NOT_OR : ~(left_apart_point(A39_398_9, L40_398_9) | left_apart_point(A39_398_9, reverse_line(L40_398_9)))
% 293.42/42.89 -> [11271] ~left_apart_point(A39_398_9, L40_398_9), ~left_apart_point(A39_398_9, reverse_line(L40_398_9))
% 293.42/42.89
% 293.42/42.89 [11271] CLOSURE : ~left_apart_point(A39_398_9, L40_398_9)
% 293.42/42.89
% 293.42/42.89 [11126] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [11314] ~(left_apart_point(A39_405_9, L40_405_9) | left_apart_point(A39_405_9, reverse_line(L40_405_9)))
% 293.42/42.89
% 293.42/42.89 [11314] ALPHA_NOT_OR : ~(left_apart_point(A39_405_9, L40_405_9) | left_apart_point(A39_405_9, reverse_line(L40_405_9)))
% 293.42/42.89 -> [11315] ~left_apart_point(A39_405_9, L40_405_9), ~left_apart_point(A39_405_9, reverse_line(L40_405_9))
% 293.42/42.89
% 293.42/42.89 [11315] CLOSURE : ~left_apart_point(A39_405_9, L40_405_9)
% 293.42/42.89
% 293.42/42.89 [10927] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_122_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_122_6)))
% 293.42/42.89 -> [10928] unequally_directed_lines(skolem_N7979, N34_122_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_122_6))
% 293.42/42.89
% 293.42/42.89 [10928] 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)))))
% 293.42/42.89 -> [10960] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.89
% 293.42/42.89 [10960] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.89 -> [10962] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.89 -> [10963] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.89
% 293.42/42.89 [10963] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.89 -> [10964] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.89 -> [10965] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.89
% 293.42/42.89 [10964] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.89
% 293.42/42.89 [10965] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [11065] ((unequally_directed_lines(skolem_N7979, M38_207_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_207_8))) => (left_convergent_lines(skolem_N7979, M38_207_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_207_8))))
% 293.42/42.89
% 293.42/42.89 [11065] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_207_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_207_8))) => (left_convergent_lines(skolem_N7979, M38_207_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_207_8))))
% 293.42/42.89 -> [11066] ~(unequally_directed_lines(skolem_N7979, M38_207_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_207_8)))
% 293.42/42.89 -> [11067] (left_convergent_lines(skolem_N7979, M38_207_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_207_8)))
% 293.42/42.89
% 293.42/42.89 [11067] BETA_OR : (left_convergent_lines(skolem_N7979, M38_207_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_207_8)))
% 293.42/42.89 -> [11075] left_convergent_lines(skolem_N7979, M38_207_8)
% 293.42/42.89 -> [11076] left_convergent_lines(skolem_N7979, reverse_line(M38_207_8))
% 293.42/42.89
% 293.42/42.89 [11076] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [11211] ~(left_apart_point(A39_392_9, L40_392_9) | left_apart_point(A39_392_9, reverse_line(L40_392_9)))
% 293.42/42.89
% 293.42/42.89 [11211] ALPHA_NOT_OR : ~(left_apart_point(A39_392_9, L40_392_9) | left_apart_point(A39_392_9, reverse_line(L40_392_9)))
% 293.42/42.89 -> [11216] ~left_apart_point(A39_392_9, L40_392_9), ~left_apart_point(A39_392_9, reverse_line(L40_392_9))
% 293.42/42.89
% 293.42/42.89 [11216] CLOSURE : ~left_apart_point(A39_392_9, L40_392_9)
% 293.42/42.89
% 293.42/42.89 [11075] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [11242] ~(left_apart_point(A39_396_9, L40_396_9) | left_apart_point(A39_396_9, reverse_line(L40_396_9)))
% 293.42/42.89
% 293.42/42.89 [11242] ALPHA_NOT_OR : ~(left_apart_point(A39_396_9, L40_396_9) | left_apart_point(A39_396_9, reverse_line(L40_396_9)))
% 293.42/42.89 -> [11245] ~left_apart_point(A39_396_9, L40_396_9), ~left_apart_point(A39_396_9, reverse_line(L40_396_9))
% 293.42/42.89
% 293.42/42.89 [11245] CLOSURE : ~left_apart_point(A39_396_9, L40_396_9)
% 293.42/42.89
% 293.42/42.89 [11066] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_207_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_207_8)))
% 293.42/42.89 -> [11104] ~unequally_directed_lines(skolem_N7979, M38_207_8)
% 293.42/42.89 -> [11105] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_207_8))
% 293.42/42.89
% 293.42/42.89 [11105] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_207_8))
% 293.42/42.89
% 293.42/42.89 [11104] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_207_8)
% 293.42/42.89
% 293.42/42.89 [10962] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.89 -> [10977] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.89 -> [10978] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.89
% 293.42/42.89 [10977] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [11092] ((unequally_directed_lines(skolem_N7979, M38_209_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_209_8))) => (left_convergent_lines(skolem_N7979, M38_209_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_209_8))))
% 293.42/42.89
% 293.42/42.89 [11092] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_209_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_209_8))) => (left_convergent_lines(skolem_N7979, M38_209_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_209_8))))
% 293.42/42.89 -> [11093] ~(unequally_directed_lines(skolem_N7979, M38_209_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_209_8)))
% 293.42/42.89 -> [11094] (left_convergent_lines(skolem_N7979, M38_209_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_209_8)))
% 293.42/42.89
% 293.42/42.89 [11093] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_209_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_209_8)))
% 293.42/42.89 -> [11136] ~unequally_directed_lines(skolem_N7979, M38_209_8)
% 293.42/42.89 -> [11137] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_209_8))
% 293.42/42.89
% 293.42/42.89 [11137] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_209_8))
% 293.42/42.89
% 293.42/42.89 [11136] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_209_8)
% 293.42/42.89
% 293.42/42.89 [11094] BETA_OR : (left_convergent_lines(skolem_N7979, M38_209_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_209_8)))
% 293.42/42.89 -> [11097] left_convergent_lines(skolem_N7979, M38_209_8)
% 293.42/42.89 -> [11098] left_convergent_lines(skolem_N7979, reverse_line(M38_209_8))
% 293.42/42.89
% 293.42/42.89 [11097] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [11279] ~(left_apart_point(A39_400_9, L40_400_9) | left_apart_point(A39_400_9, reverse_line(L40_400_9)))
% 293.42/42.89
% 293.42/42.89 [11279] ALPHA_NOT_OR : ~(left_apart_point(A39_400_9, L40_400_9) | left_apart_point(A39_400_9, reverse_line(L40_400_9)))
% 293.42/42.89 -> [11281] ~left_apart_point(A39_400_9, L40_400_9), ~left_apart_point(A39_400_9, reverse_line(L40_400_9))
% 293.42/42.89
% 293.42/42.89 [11281] CLOSURE : ~left_apart_point(A39_400_9, L40_400_9)
% 293.42/42.89
% 293.42/42.89 [11098] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [11552] ~(left_apart_point(A39_426_9, L40_426_9) | left_apart_point(A39_426_9, reverse_line(L40_426_9)))
% 293.42/42.89
% 293.42/42.89 [11552] ALPHA_NOT_OR : ~(left_apart_point(A39_426_9, L40_426_9) | left_apart_point(A39_426_9, reverse_line(L40_426_9)))
% 293.42/42.89 -> [11556] ~left_apart_point(A39_426_9, L40_426_9), ~left_apart_point(A39_426_9, reverse_line(L40_426_9))
% 293.42/42.89
% 293.42/42.89 [11556] CLOSURE : ~left_apart_point(A39_426_9, L40_426_9)
% 293.42/42.89
% 293.42/42.89 [10978] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [11046] ((unequally_directed_lines(skolem_N7979, M38_206_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_206_8))) => (left_convergent_lines(skolem_N7979, M38_206_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_206_8))))
% 293.42/42.89
% 293.42/42.89 [11046] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_206_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_206_8))) => (left_convergent_lines(skolem_N7979, M38_206_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_206_8))))
% 293.42/42.89 -> [11049] ~(unequally_directed_lines(skolem_N7979, M38_206_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_206_8)))
% 293.42/42.89 -> [11050] (left_convergent_lines(skolem_N7979, M38_206_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_206_8)))
% 293.42/42.89
% 293.42/42.89 [11049] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_206_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_206_8)))
% 293.42/42.89 -> [11102] ~unequally_directed_lines(skolem_N7979, M38_206_8)
% 293.42/42.89 -> [11103] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_206_8))
% 293.42/42.89
% 293.42/42.89 [11103] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_206_8))
% 293.42/42.89
% 293.42/42.89 [11102] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_206_8)
% 293.42/42.89
% 293.42/42.89 [11050] BETA_OR : (left_convergent_lines(skolem_N7979, M38_206_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_206_8)))
% 293.42/42.89 -> [11060] left_convergent_lines(skolem_N7979, M38_206_8)
% 293.42/42.89 -> [11061] left_convergent_lines(skolem_N7979, reverse_line(M38_206_8))
% 293.42/42.89
% 293.42/42.89 [11060] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [11236] ~(left_apart_point(A39_394_9, L40_394_9) | left_apart_point(A39_394_9, reverse_line(L40_394_9)))
% 293.42/42.89
% 293.42/42.89 [11236] ALPHA_NOT_OR : ~(left_apart_point(A39_394_9, L40_394_9) | left_apart_point(A39_394_9, reverse_line(L40_394_9)))
% 293.42/42.89 -> [11237] ~left_apart_point(A39_394_9, L40_394_9), ~left_apart_point(A39_394_9, reverse_line(L40_394_9))
% 293.42/42.89
% 293.42/42.89 [11237] CLOSURE : ~left_apart_point(A39_394_9, L40_394_9)
% 293.42/42.89
% 293.42/42.89 [11061] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [12571] ~(left_apart_point(A39_526_9, L40_526_9) | left_apart_point(A39_526_9, reverse_line(L40_526_9)))
% 293.42/42.89
% 293.42/42.89 [12571] ALPHA_NOT_OR : ~(left_apart_point(A39_526_9, L40_526_9) | left_apart_point(A39_526_9, reverse_line(L40_526_9)))
% 293.42/42.89 -> [12575] ~left_apart_point(A39_526_9, L40_526_9), ~left_apart_point(A39_526_9, reverse_line(L40_526_9))
% 293.42/42.89
% 293.42/42.89 [12575] CLOSURE : ~left_apart_point(A39_526_9, L40_526_9)
% 293.42/42.89
% 293.42/42.89 [456] 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)))
% 293.42/42.89 -> [536] (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)))
% 293.42/42.89
% 293.42/42.89 [536] 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)))
% 293.42/42.89 -> [537] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 293.42/42.89 -> [538] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [537] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.89 -> [1203] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.89
% 293.42/42.89 [1203] 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))))
% 293.42/42.89 -> [1876] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.89
% 293.42/42.89 [1876] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.89 -> [1877] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.89 -> [1878] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.89
% 293.42/42.89 [1877] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.89
% 293.42/42.89 [1878] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.89 -> [3624] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.89 -> [3625] distinct_points(skolem_C8282, skolem_B8181)
% 293.42/42.89
% 293.42/42.89 [3624] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.89
% 293.42/42.89 [3625] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.89 -> [4187] ~distinct_lines(N27_98_3, N27_98_3)
% 293.42/42.89
% 293.42/42.89 [4187] 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))))
% 293.42/42.89 -> [4237] (distinct_lines(N27_98_3, N27_98_3) => (distinct_lines(N27_98_3, N27_98_3) | distinct_lines(N27_98_3, N27_98_3)))
% 293.42/42.89
% 293.42/42.89 [4237] BETA_IMPLY : (distinct_lines(N27_98_3, N27_98_3) => (distinct_lines(N27_98_3, N27_98_3) | distinct_lines(N27_98_3, N27_98_3)))
% 293.42/42.89 -> [4238] ~distinct_lines(N27_98_3, N27_98_3)
% 293.42/42.89 -> [4239] (distinct_lines(N27_98_3, N27_98_3) | distinct_lines(N27_98_3, N27_98_3))
% 293.42/42.89
% 293.42/42.89 [4239] BETA_OR : (distinct_lines(N27_98_3, N27_98_3) | distinct_lines(N27_98_3, N27_98_3))
% 293.42/42.89 -> [4242] distinct_lines(N27_98_3, N27_98_3)
% 293.42/42.89 -> [4243] distinct_lines(N27_98_3, N27_98_3)
% 293.42/42.89
% 293.42/42.89 [4243] CLOSURE : distinct_lines(N27_98_3, N27_98_3)
% 293.42/42.89
% 293.42/42.89 [4242] CLOSURE : distinct_lines(N27_98_3, N27_98_3)
% 293.42/42.89
% 293.42/42.89 [4238] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.89 -> [4244] ~unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.89
% 293.42/42.89 [4244] 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))))
% 293.42/42.89 -> [4252] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.89
% 293.42/42.89 [4252] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.89 -> [4253] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.89 -> [4254] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.89
% 293.42/42.89 [4253] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.89
% 293.42/42.89 [4254] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.89 -> [5467] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.89 -> [5468] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.89
% 293.42/42.89 [5468] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.89
% 293.42/42.89 [5467] 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))))))
% 293.42/42.89 -> [6434] ((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)))))
% 293.42/42.89
% 293.42/42.89 [6434] 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)))))
% 293.42/42.89 -> [6438] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [6439] ((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))))
% 293.42/42.89
% 293.42/42.89 [6438] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [6451] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89 -> [6452] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [6452] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [6451] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89
% 293.42/42.89 [6439] 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))))
% 293.42/42.89 -> [7220] (unequally_directed_lines(skolem_M7878, N34_43_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_43_6)))
% 293.42/42.89 -> [7221] (unequally_directed_lines(skolem_N7979, N34_43_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_43_6)))
% 293.42/42.89
% 293.42/42.89 [7221] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_43_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_43_6)))
% 293.42/42.89 -> [7222] unequally_directed_lines(skolem_N7979, N34_43_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_43_6))
% 293.42/42.89
% 293.42/42.89 [7222] 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)))))
% 293.42/42.89 -> [7430] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.89
% 293.42/42.89 [7430] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.89 -> [7431] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.89 -> [7432] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.89
% 293.42/42.89 [7431] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.89 -> [7477] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.89 -> [7478] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.89
% 293.42/42.89 [7478] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [7562] ((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))))
% 293.42/42.89
% 293.42/42.89 [7562] 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))))
% 293.42/42.89 -> [7563] ~(unequally_directed_lines(skolem_N7979, M38_61_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_61_8)))
% 293.42/42.89 -> [7564] (left_convergent_lines(skolem_N7979, M38_61_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_61_8)))
% 293.42/42.89
% 293.42/42.89 [7563] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_61_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_61_8)))
% 293.42/42.89 -> [7614] ~unequally_directed_lines(skolem_N7979, M38_61_8)
% 293.42/42.89 -> [7615] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_61_8))
% 293.42/42.89
% 293.42/42.89 [7615] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_61_8))
% 293.42/42.89
% 293.42/42.89 [7614] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_61_8)
% 293.42/42.89
% 293.42/42.89 [7564] BETA_OR : (left_convergent_lines(skolem_N7979, M38_61_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_61_8)))
% 293.42/42.89 -> [7570] left_convergent_lines(skolem_N7979, M38_61_8)
% 293.42/42.89 -> [7571] left_convergent_lines(skolem_N7979, reverse_line(M38_61_8))
% 293.42/42.89
% 293.42/42.89 [7571] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [7751] ~(left_apart_point(A39_118_9, L40_118_9) | left_apart_point(A39_118_9, reverse_line(L40_118_9)))
% 293.42/42.89
% 293.42/42.89 [7751] ALPHA_NOT_OR : ~(left_apart_point(A39_118_9, L40_118_9) | left_apart_point(A39_118_9, reverse_line(L40_118_9)))
% 293.42/42.89 -> [7752] ~left_apart_point(A39_118_9, L40_118_9), ~left_apart_point(A39_118_9, reverse_line(L40_118_9))
% 293.42/42.89
% 293.42/42.89 [7752] CLOSURE : ~left_apart_point(A39_118_9, L40_118_9)
% 293.42/42.89
% 293.42/42.89 [7570] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [7811] ~(left_apart_point(A39_124_9, L40_124_9) | left_apart_point(A39_124_9, reverse_line(L40_124_9)))
% 293.42/42.89
% 293.42/42.89 [7811] ALPHA_NOT_OR : ~(left_apart_point(A39_124_9, L40_124_9) | left_apart_point(A39_124_9, reverse_line(L40_124_9)))
% 293.42/42.89 -> [7813] ~left_apart_point(A39_124_9, L40_124_9), ~left_apart_point(A39_124_9, reverse_line(L40_124_9))
% 293.42/42.89
% 293.42/42.89 [7813] CLOSURE : ~left_apart_point(A39_124_9, L40_124_9)
% 293.42/42.89
% 293.42/42.89 [7477] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [7600] ((unequally_directed_lines(skolem_N7979, M38_63_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_63_8))) => (left_convergent_lines(skolem_N7979, M38_63_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_63_8))))
% 293.42/42.89
% 293.42/42.89 [7600] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_63_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_63_8))) => (left_convergent_lines(skolem_N7979, M38_63_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_63_8))))
% 293.42/42.89 -> [7601] ~(unequally_directed_lines(skolem_N7979, M38_63_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_63_8)))
% 293.42/42.89 -> [7602] (left_convergent_lines(skolem_N7979, M38_63_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_63_8)))
% 293.42/42.89
% 293.42/42.89 [7602] BETA_OR : (left_convergent_lines(skolem_N7979, M38_63_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_63_8)))
% 293.42/42.89 -> [7607] left_convergent_lines(skolem_N7979, M38_63_8)
% 293.42/42.89 -> [7608] left_convergent_lines(skolem_N7979, reverse_line(M38_63_8))
% 293.42/42.89
% 293.42/42.89 [7608] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [7785] ~(left_apart_point(A39_119_9, L40_119_9) | left_apart_point(A39_119_9, reverse_line(L40_119_9)))
% 293.42/42.89
% 293.42/42.89 [7785] ALPHA_NOT_OR : ~(left_apart_point(A39_119_9, L40_119_9) | left_apart_point(A39_119_9, reverse_line(L40_119_9)))
% 293.42/42.89 -> [7786] ~left_apart_point(A39_119_9, L40_119_9), ~left_apart_point(A39_119_9, reverse_line(L40_119_9))
% 293.42/42.89
% 293.42/42.89 [7786] CLOSURE : ~left_apart_point(A39_119_9, L40_119_9)
% 293.42/42.89
% 293.42/42.89 [7607] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [7804] ~(left_apart_point(A39_123_9, L40_123_9) | left_apart_point(A39_123_9, reverse_line(L40_123_9)))
% 293.42/42.89
% 293.42/42.89 [7804] ALPHA_NOT_OR : ~(left_apart_point(A39_123_9, L40_123_9) | left_apart_point(A39_123_9, reverse_line(L40_123_9)))
% 293.42/42.89 -> [7805] ~left_apart_point(A39_123_9, L40_123_9), ~left_apart_point(A39_123_9, reverse_line(L40_123_9))
% 293.42/42.89
% 293.42/42.89 [7805] CLOSURE : ~left_apart_point(A39_123_9, L40_123_9)
% 293.42/42.89
% 293.42/42.89 [7601] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_63_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_63_8)))
% 293.42/42.89 -> [7661] ~unequally_directed_lines(skolem_N7979, M38_63_8)
% 293.42/42.89 -> [7662] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_63_8))
% 293.42/42.89
% 293.42/42.89 [7662] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_63_8))
% 293.42/42.89
% 293.42/42.89 [7661] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_63_8)
% 293.42/42.89
% 293.42/42.89 [7432] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.89 -> [7435] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.89 -> [7436] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.89
% 293.42/42.89 [7435] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.89
% 293.42/42.89 [7436] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [7576] ((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))))
% 293.42/42.89
% 293.42/42.89 [7576] 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))))
% 293.42/42.89 -> [7579] ~(unequally_directed_lines(skolem_N7979, M38_62_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_62_8)))
% 293.42/42.89 -> [7580] (left_convergent_lines(skolem_N7979, M38_62_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_62_8)))
% 293.42/42.89
% 293.42/42.89 [7580] BETA_OR : (left_convergent_lines(skolem_N7979, M38_62_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_62_8)))
% 293.42/42.89 -> [7583] left_convergent_lines(skolem_N7979, M38_62_8)
% 293.42/42.89 -> [7584] left_convergent_lines(skolem_N7979, reverse_line(M38_62_8))
% 293.42/42.89
% 293.42/42.89 [7583] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [7792] ~(left_apart_point(A39_120_9, L40_120_9) | left_apart_point(A39_120_9, reverse_line(L40_120_9)))
% 293.42/42.89
% 293.42/42.89 [7792] ALPHA_NOT_OR : ~(left_apart_point(A39_120_9, L40_120_9) | left_apart_point(A39_120_9, reverse_line(L40_120_9)))
% 293.42/42.89 -> [7795] ~left_apart_point(A39_120_9, L40_120_9), ~left_apart_point(A39_120_9, reverse_line(L40_120_9))
% 293.42/42.89
% 293.42/42.89 [7795] CLOSURE : ~left_apart_point(A39_120_9, L40_120_9)
% 293.42/42.89
% 293.42/42.89 [7584] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [7798] ~(left_apart_point(A39_121_9, L40_121_9) | left_apart_point(A39_121_9, reverse_line(L40_121_9)))
% 293.42/42.89
% 293.42/42.89 [7798] ALPHA_NOT_OR : ~(left_apart_point(A39_121_9, L40_121_9) | left_apart_point(A39_121_9, reverse_line(L40_121_9)))
% 293.42/42.89 -> [7799] ~left_apart_point(A39_121_9, L40_121_9), ~left_apart_point(A39_121_9, reverse_line(L40_121_9))
% 293.42/42.89
% 293.42/42.89 [7799] CLOSURE : ~left_apart_point(A39_121_9, L40_121_9)
% 293.42/42.89
% 293.42/42.89 [7579] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_62_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_62_8)))
% 293.42/42.89 -> [7629] ~unequally_directed_lines(skolem_N7979, M38_62_8)
% 293.42/42.89 -> [7630] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_62_8))
% 293.42/42.89
% 293.42/42.89 [7630] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_62_8))
% 293.42/42.89
% 293.42/42.89 [7629] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_62_8)
% 293.42/42.89
% 293.42/42.89 [7220] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_43_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_43_6)))
% 293.42/42.89 -> [7223] unequally_directed_lines(skolem_M7878, N34_43_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_43_6))
% 293.42/42.89
% 293.42/42.89 [7223] 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)))))
% 293.42/42.89 -> [8163] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.89
% 293.42/42.89 [8163] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.89 -> [8164] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.89 -> [8165] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.89
% 293.42/42.89 [8164] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.89 -> [8193] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.89 -> [8194] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.89
% 293.42/42.89 [8194] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [8401] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.89
% 293.42/42.89 [8401] 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))))
% 293.42/42.89 -> [8402] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [8403] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.89
% 293.42/42.89 [8403] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [8407] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.89 -> [8408] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [8408] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [8561] ~(left_apart_point(A39_164_9, L40_164_9) | left_apart_point(A39_164_9, reverse_line(L40_164_9)))
% 293.42/42.89
% 293.42/42.89 [8561] ALPHA_NOT_OR : ~(left_apart_point(A39_164_9, L40_164_9) | left_apart_point(A39_164_9, reverse_line(L40_164_9)))
% 293.42/42.89 -> [8563] ~left_apart_point(A39_164_9, L40_164_9), ~left_apart_point(A39_164_9, reverse_line(L40_164_9))
% 293.42/42.89
% 293.42/42.89 [8563] CLOSURE : ~left_apart_point(A39_164_9, L40_164_9)
% 293.42/42.89
% 293.42/42.89 [8407] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [8593] ~(left_apart_point(A39_168_9, L40_168_9) | left_apart_point(A39_168_9, reverse_line(L40_168_9)))
% 293.42/42.89
% 293.42/42.89 [8593] ALPHA_NOT_OR : ~(left_apart_point(A39_168_9, L40_168_9) | left_apart_point(A39_168_9, reverse_line(L40_168_9)))
% 293.42/42.89 -> [8594] ~left_apart_point(A39_168_9, L40_168_9), ~left_apart_point(A39_168_9, reverse_line(L40_168_9))
% 293.42/42.89
% 293.42/42.89 [8594] CLOSURE : ~left_apart_point(A39_168_9, L40_168_9)
% 293.42/42.89
% 293.42/42.89 [8402] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [8449] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.89 -> [8450] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [8450] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [8449] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [8193] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [8505] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.89
% 293.42/42.89 [8505] 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))))
% 293.42/42.89 -> [8506] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [8507] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.89
% 293.42/42.89 [8507] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [8513] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.89 -> [8514] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [8513] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [8611] ~(left_apart_point(A39_170_9, L40_170_9) | left_apart_point(A39_170_9, reverse_line(L40_170_9)))
% 293.42/42.89
% 293.42/42.89 [8611] ALPHA_NOT_OR : ~(left_apart_point(A39_170_9, L40_170_9) | left_apart_point(A39_170_9, reverse_line(L40_170_9)))
% 293.42/42.89 -> [8614] ~left_apart_point(A39_170_9, L40_170_9), ~left_apart_point(A39_170_9, reverse_line(L40_170_9))
% 293.42/42.89
% 293.42/42.89 [8614] CLOSURE : ~left_apart_point(A39_170_9, L40_170_9)
% 293.42/42.89
% 293.42/42.89 [8514] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [8591] ~(left_apart_point(A39_167_9, L40_167_9) | left_apart_point(A39_167_9, reverse_line(L40_167_9)))
% 293.42/42.89
% 293.42/42.89 [8591] ALPHA_NOT_OR : ~(left_apart_point(A39_167_9, L40_167_9) | left_apart_point(A39_167_9, reverse_line(L40_167_9)))
% 293.42/42.89 -> [8592] ~left_apart_point(A39_167_9, L40_167_9), ~left_apart_point(A39_167_9, reverse_line(L40_167_9))
% 293.42/42.89
% 293.42/42.89 [8592] CLOSURE : ~left_apart_point(A39_167_9, L40_167_9)
% 293.42/42.89
% 293.42/42.89 [8506] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [8530] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.89 -> [8531] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [8531] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [8530] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [8165] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.89 -> [8166] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.89 -> [8167] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.89
% 293.42/42.89 [8166] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.89
% 293.42/42.89 [8167] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [8414] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.89
% 293.42/42.89 [8414] 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))))
% 293.42/42.89 -> [8415] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [8416] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.89
% 293.42/42.89 [8416] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [8421] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.89 -> [8422] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [8422] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [8578] ~(left_apart_point(A39_166_9, L40_166_9) | left_apart_point(A39_166_9, reverse_line(L40_166_9)))
% 293.42/42.89
% 293.42/42.89 [8578] ALPHA_NOT_OR : ~(left_apart_point(A39_166_9, L40_166_9) | left_apart_point(A39_166_9, reverse_line(L40_166_9)))
% 293.42/42.89 -> [8581] ~left_apart_point(A39_166_9, L40_166_9), ~left_apart_point(A39_166_9, reverse_line(L40_166_9))
% 293.42/42.89
% 293.42/42.89 [8581] CLOSURE : ~left_apart_point(A39_166_9, L40_166_9)
% 293.42/42.89
% 293.42/42.89 [8421] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [8595] ~(left_apart_point(A39_169_9, L40_169_9) | left_apart_point(A39_169_9, reverse_line(L40_169_9)))
% 293.42/42.89
% 293.42/42.89 [8595] ALPHA_NOT_OR : ~(left_apart_point(A39_169_9, L40_169_9) | left_apart_point(A39_169_9, reverse_line(L40_169_9)))
% 293.42/42.89 -> [8596] ~left_apart_point(A39_169_9, L40_169_9), ~left_apart_point(A39_169_9, reverse_line(L40_169_9))
% 293.42/42.89
% 293.42/42.89 [8596] CLOSURE : ~left_apart_point(A39_169_9, L40_169_9)
% 293.42/42.89
% 293.42/42.89 [8415] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [8459] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.89 -> [8460] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [8460] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [8459] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [538] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.89 -> [896] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.89
% 293.42/42.89 [896] 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))))
% 293.42/42.89 -> [1884] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.89
% 293.42/42.89 [1884] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.89 -> [1887] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.89 -> [1888] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.89
% 293.42/42.89 [1887] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.89
% 293.42/42.89 [1888] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.89 -> [6689] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.89 -> [6690] distinct_points(skolem_C8282, skolem_B8181)
% 293.42/42.89
% 293.42/42.89 [6689] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.89
% 293.42/42.89 [6690] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.89 -> [8117] ~distinct_lines(N27_259_3, N27_259_3)
% 293.42/42.89
% 293.42/42.89 [8117] 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))))
% 293.42/42.89 -> [8254] (distinct_lines(N27_259_3, N27_259_3) => (distinct_lines(N27_259_3, N27_259_3) | distinct_lines(N27_259_3, N27_259_3)))
% 293.42/42.89
% 293.42/42.89 [8254] BETA_IMPLY : (distinct_lines(N27_259_3, N27_259_3) => (distinct_lines(N27_259_3, N27_259_3) | distinct_lines(N27_259_3, N27_259_3)))
% 293.42/42.89 -> [8255] ~distinct_lines(N27_259_3, N27_259_3)
% 293.42/42.89 -> [8256] (distinct_lines(N27_259_3, N27_259_3) | distinct_lines(N27_259_3, N27_259_3))
% 293.42/42.89
% 293.42/42.89 [8256] BETA_OR : (distinct_lines(N27_259_3, N27_259_3) | distinct_lines(N27_259_3, N27_259_3))
% 293.42/42.89 -> [8260] distinct_lines(N27_259_3, N27_259_3)
% 293.42/42.89 -> [8261] distinct_lines(N27_259_3, N27_259_3)
% 293.42/42.89
% 293.42/42.89 [8260] CLOSURE : distinct_lines(N27_259_3, N27_259_3)
% 293.42/42.89
% 293.42/42.89 [8261] CLOSURE : distinct_lines(N27_259_3, N27_259_3)
% 293.42/42.89
% 293.42/42.89 [8255] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.89 -> [8512] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [8512] 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))))
% 293.42/42.89 -> [8644] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878)))
% 293.42/42.89
% 293.42/42.89 [8644] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878)))
% 293.42/42.89 -> [8645] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.89 -> [8646] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [8645] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.89
% 293.42/42.89 [8646] 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)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878))
% 293.42/42.89 -> [19781] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89 -> [19782] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [19781] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [19782] 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))))))
% 293.42/42.89 -> [21394] ((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)))))
% 293.42/42.89
% 293.42/42.89 [21394] 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)))))
% 293.42/42.89 -> [21397] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [21398] ((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))))
% 293.42/42.89
% 293.42/42.89 [21398] 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))))
% 293.42/42.89 -> [23873] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [23874] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.89
% 293.42/42.89 [23873] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [23880] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [23880] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [23874] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [23876] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [23876] 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)))))
% 293.42/42.89 -> [23887] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.89
% 293.42/42.89 [23887] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.89 -> [23889] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.89 -> [23890] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.89
% 293.42/42.89 [23889] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.89 -> [23898] ~line(skolem_M7878)
% 293.42/42.89 -> [23899] ~line(skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [23899] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [23931] ((unequally_directed_lines(skolem_N7979, M38_999_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_999_8))) => (left_convergent_lines(skolem_N7979, M38_999_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_999_8))))
% 293.42/42.89
% 293.42/42.89 [23931] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_999_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_999_8))) => (left_convergent_lines(skolem_N7979, M38_999_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_999_8))))
% 293.42/42.89 -> [23935] ~(unequally_directed_lines(skolem_N7979, M38_999_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_999_8)))
% 293.42/42.89 -> [23936] (left_convergent_lines(skolem_N7979, M38_999_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_999_8)))
% 293.42/42.89
% 293.42/42.89 [23935] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_999_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_999_8)))
% 293.42/42.89 -> [23961] ~unequally_directed_lines(skolem_N7979, M38_999_8)
% 293.42/42.89 -> [23962] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_999_8))
% 293.42/42.89
% 293.42/42.89 [23962] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_999_8))
% 293.42/42.89
% 293.42/42.89 [23961] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_999_8)
% 293.42/42.89
% 293.42/42.89 [23936] BETA_OR : (left_convergent_lines(skolem_N7979, M38_999_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_999_8)))
% 293.42/42.89 -> [23940] left_convergent_lines(skolem_N7979, M38_999_8)
% 293.42/42.89 -> [23941] left_convergent_lines(skolem_N7979, reverse_line(M38_999_8))
% 293.42/42.89
% 293.42/42.89 [23940] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [24009] ~(left_apart_point(A39_1965_9, L40_1965_9) | left_apart_point(A39_1965_9, reverse_line(L40_1965_9)))
% 293.42/42.89
% 293.42/42.89 [24009] ALPHA_NOT_OR : ~(left_apart_point(A39_1965_9, L40_1965_9) | left_apart_point(A39_1965_9, reverse_line(L40_1965_9)))
% 293.42/42.89 -> [24010] ~left_apart_point(A39_1965_9, L40_1965_9), ~left_apart_point(A39_1965_9, reverse_line(L40_1965_9))
% 293.42/42.89
% 293.42/42.89 [24010] CLOSURE : ~left_apart_point(A39_1965_9, L40_1965_9)
% 293.42/42.89
% 293.42/42.89 [23941] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [24037] ~(left_apart_point(A39_1973_9, L40_1973_9) | left_apart_point(A39_1973_9, reverse_line(L40_1973_9)))
% 293.42/42.89
% 293.42/42.89 [24037] ALPHA_NOT_OR : ~(left_apart_point(A39_1973_9, L40_1973_9) | left_apart_point(A39_1973_9, reverse_line(L40_1973_9)))
% 293.42/42.89 -> [24038] ~left_apart_point(A39_1973_9, L40_1973_9), ~left_apart_point(A39_1973_9, reverse_line(L40_1973_9))
% 293.42/42.89
% 293.42/42.89 [24038] CLOSURE : ~left_apart_point(A39_1973_9, L40_1973_9)
% 293.42/42.89
% 293.42/42.89 [23898] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [23914] ((unequally_directed_lines(skolem_N7979, M38_997_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_997_8))) => (left_convergent_lines(skolem_N7979, M38_997_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_997_8))))
% 293.42/42.89
% 293.42/42.89 [23914] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_997_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_997_8))) => (left_convergent_lines(skolem_N7979, M38_997_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_997_8))))
% 293.42/42.89 -> [23915] ~(unequally_directed_lines(skolem_N7979, M38_997_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_997_8)))
% 293.42/42.89 -> [23916] (left_convergent_lines(skolem_N7979, M38_997_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_997_8)))
% 293.42/42.89
% 293.42/42.89 [23916] BETA_OR : (left_convergent_lines(skolem_N7979, M38_997_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_997_8)))
% 293.42/42.89 -> [23925] left_convergent_lines(skolem_N7979, M38_997_8)
% 293.42/42.89 -> [23926] left_convergent_lines(skolem_N7979, reverse_line(M38_997_8))
% 293.42/42.89
% 293.42/42.89 [23926] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [23984] ~(left_apart_point(A39_1958_9, L40_1958_9) | left_apart_point(A39_1958_9, reverse_line(L40_1958_9)))
% 293.42/42.89
% 293.42/42.89 [23984] ALPHA_NOT_OR : ~(left_apart_point(A39_1958_9, L40_1958_9) | left_apart_point(A39_1958_9, reverse_line(L40_1958_9)))
% 293.42/42.89 -> [23986] ~left_apart_point(A39_1958_9, L40_1958_9), ~left_apart_point(A39_1958_9, reverse_line(L40_1958_9))
% 293.42/42.89
% 293.42/42.89 [23986] CLOSURE : ~left_apart_point(A39_1958_9, L40_1958_9)
% 293.42/42.89
% 293.42/42.89 [23925] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [23998] ~(left_apart_point(A39_1962_9, L40_1962_9) | left_apart_point(A39_1962_9, reverse_line(L40_1962_9)))
% 293.42/42.89
% 293.42/42.89 [23998] ALPHA_NOT_OR : ~(left_apart_point(A39_1962_9, L40_1962_9) | left_apart_point(A39_1962_9, reverse_line(L40_1962_9)))
% 293.42/42.89 -> [24000] ~left_apart_point(A39_1962_9, L40_1962_9), ~left_apart_point(A39_1962_9, reverse_line(L40_1962_9))
% 293.42/42.89
% 293.42/42.89 [24000] CLOSURE : ~left_apart_point(A39_1962_9, L40_1962_9)
% 293.42/42.89
% 293.42/42.89 [23915] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_997_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_997_8)))
% 293.42/42.89 -> [23951] ~unequally_directed_lines(skolem_N7979, M38_997_8)
% 293.42/42.89 -> [23952] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_997_8))
% 293.42/42.89
% 293.42/42.89 [23952] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_997_8))
% 293.42/42.89
% 293.42/42.89 [23951] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_997_8)
% 293.42/42.89
% 293.42/42.89 [23890] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [23894] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89 -> [23895] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [23894] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [23895] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [24046] ((unequally_directed_lines(skolem_N7979, M38_1005_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1005_8))) => (left_convergent_lines(skolem_N7979, M38_1005_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1005_8))))
% 293.42/42.89
% 293.42/42.89 [24046] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1005_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1005_8))) => (left_convergent_lines(skolem_N7979, M38_1005_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1005_8))))
% 293.42/42.89 -> [24048] ~(unequally_directed_lines(skolem_N7979, M38_1005_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1005_8)))
% 293.42/42.89 -> [24049] (left_convergent_lines(skolem_N7979, M38_1005_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1005_8)))
% 293.42/42.89
% 293.42/42.89 [24049] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1005_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1005_8)))
% 293.42/42.89 -> [24054] left_convergent_lines(skolem_N7979, M38_1005_8)
% 293.42/42.89 -> [24055] left_convergent_lines(skolem_N7979, reverse_line(M38_1005_8))
% 293.42/42.89
% 293.42/42.89 [24055] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [24065] ~(left_apart_point(A39_1980_9, L40_1980_9) | left_apart_point(A39_1980_9, reverse_line(L40_1980_9)))
% 293.42/42.89
% 293.42/42.89 [24065] ALPHA_NOT_OR : ~(left_apart_point(A39_1980_9, L40_1980_9) | left_apart_point(A39_1980_9, reverse_line(L40_1980_9)))
% 293.42/42.89 -> [24068] ~left_apart_point(A39_1980_9, L40_1980_9), ~left_apart_point(A39_1980_9, reverse_line(L40_1980_9))
% 293.42/42.89
% 293.42/42.89 [24068] CLOSURE : ~left_apart_point(A39_1980_9, L40_1980_9)
% 293.42/42.89
% 293.42/42.89 [24054] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [24078] ~(left_apart_point(A39_1985_9, L40_1985_9) | left_apart_point(A39_1985_9, reverse_line(L40_1985_9)))
% 293.42/42.89
% 293.42/42.89 [24078] ALPHA_NOT_OR : ~(left_apart_point(A39_1985_9, L40_1985_9) | left_apart_point(A39_1985_9, reverse_line(L40_1985_9)))
% 293.42/42.89 -> [24079] ~left_apart_point(A39_1985_9, L40_1985_9), ~left_apart_point(A39_1985_9, reverse_line(L40_1985_9))
% 293.42/42.89
% 293.42/42.89 [24079] CLOSURE : ~left_apart_point(A39_1985_9, L40_1985_9)
% 293.42/42.89
% 293.42/42.89 [24048] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1005_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1005_8)))
% 293.42/42.89 -> [24060] ~unequally_directed_lines(skolem_N7979, M38_1005_8)
% 293.42/42.89 -> [24061] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1005_8))
% 293.42/42.89
% 293.42/42.89 [24061] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1005_8))
% 293.42/42.89
% 293.42/42.89 [24060] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1005_8)
% 293.42/42.89
% 293.42/42.89 [21397] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [21525] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89 -> [21526] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [21526] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [21525] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89
% 293.42/42.89 [416] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.42/42.89 -> [426] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.42/42.89
% 293.42/42.89 [426] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.89 -> [713] ~distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.89
% 293.42/42.89 [713] 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))))
% 293.42/42.89 -> [2566] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.89
% 293.42/42.89 [2566] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.89 -> [2570] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.89 -> [2571] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.89
% 293.42/42.89 [2570] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.89
% 293.42/42.89 [2571] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.89 -> [3348] distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.89 -> [3349] distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.89
% 293.42/42.89 [3349] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.89
% 293.42/42.89 [3348] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.89 -> [5708] ~distinct_lines(N27_172_3, N27_172_3)
% 293.42/42.89
% 293.42/42.89 [5708] 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))))
% 293.42/42.89 -> [5903] (distinct_lines(N27_172_3, N27_172_3) => (distinct_lines(N27_172_3, N27_172_3) | distinct_lines(N27_172_3, N27_172_3)))
% 293.42/42.89
% 293.42/42.89 [5903] BETA_IMPLY : (distinct_lines(N27_172_3, N27_172_3) => (distinct_lines(N27_172_3, N27_172_3) | distinct_lines(N27_172_3, N27_172_3)))
% 293.42/42.89 -> [5904] ~distinct_lines(N27_172_3, N27_172_3)
% 293.42/42.89 -> [5905] (distinct_lines(N27_172_3, N27_172_3) | distinct_lines(N27_172_3, N27_172_3))
% 293.42/42.89
% 293.42/42.89 [5905] BETA_OR : (distinct_lines(N27_172_3, N27_172_3) | distinct_lines(N27_172_3, N27_172_3))
% 293.42/42.89 -> [5912] distinct_lines(N27_172_3, N27_172_3)
% 293.42/42.89 -> [5913] distinct_lines(N27_172_3, N27_172_3)
% 293.42/42.89
% 293.42/42.89 [5913] CLOSURE : distinct_lines(N27_172_3, N27_172_3)
% 293.42/42.89
% 293.42/42.89 [5912] CLOSURE : distinct_lines(N27_172_3, N27_172_3)
% 293.42/42.89
% 293.42/42.89 [5904] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.89 -> [6080] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [6080] 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))))
% 293.42/42.89 -> [6322] (unequally_directed_lines(skolem_M7878, skolem_N7979) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_N7979, skolem_M7878)))
% 293.42/42.89
% 293.42/42.89 [6322] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, skolem_N7979) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_N7979, skolem_M7878)))
% 293.42/42.89 -> [6323] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89 -> [6324] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_N7979, skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [6323] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89
% 293.42/42.89 [6324] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_N7979, skolem_M7878))
% 293.42/42.89 -> [11852] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89 -> [11853] unequally_directed_lines(skolem_N7979, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [11852] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [11853] 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))))))
% 293.42/42.89 -> [22598] ((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)))))
% 293.42/42.89
% 293.42/42.89 [22598] 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)))))
% 293.42/42.89 -> [22599] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [22600] ((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))))
% 293.42/42.89
% 293.42/42.89 [22599] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [22647] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89 -> [22648] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [22648] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [22647] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89
% 293.42/42.89 [22600] 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))))
% 293.42/42.89 -> [26053] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [26054] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.89
% 293.42/42.89 [26053] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [26066] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [26066] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [26054] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [26059] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [26059] 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)))))
% 293.42/42.89 -> [26075] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.89
% 293.42/42.89 [26075] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.89 -> [26076] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.89 -> [26077] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.89
% 293.42/42.89 [26077] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [26078] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89 -> [26079] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [26078] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [26079] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [26102] ((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))))
% 293.42/42.89
% 293.42/42.89 [26102] 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))))
% 293.42/42.89 -> [26103] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [26104] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89
% 293.42/42.89 [26103] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [26116] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89 -> [26117] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [26117] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [26116] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89
% 293.42/42.89 [26104] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [26109] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89 -> [26110] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [26110] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [26139] ~(left_apart_point(A39_2293_9, L40_2293_9) | left_apart_point(A39_2293_9, reverse_line(L40_2293_9)))
% 293.42/42.89
% 293.42/42.89 [26139] ALPHA_NOT_OR : ~(left_apart_point(A39_2293_9, L40_2293_9) | left_apart_point(A39_2293_9, reverse_line(L40_2293_9)))
% 293.42/42.89 -> [26143] ~left_apart_point(A39_2293_9, L40_2293_9), ~left_apart_point(A39_2293_9, reverse_line(L40_2293_9))
% 293.42/42.89
% 293.42/42.89 [26143] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.89 -> [26172] ~(left_convergent_lines(L41_245_10, M42_245_10) | left_convergent_lines(L41_245_10, reverse_line(M42_245_10)))
% 293.42/42.89
% 293.42/42.89 [26172] ALPHA_NOT_OR : ~(left_convergent_lines(L41_245_10, M42_245_10) | left_convergent_lines(L41_245_10, reverse_line(M42_245_10)))
% 293.42/42.89 -> [26175] ~left_convergent_lines(L41_245_10, M42_245_10), ~left_convergent_lines(L41_245_10, reverse_line(M42_245_10))
% 293.42/42.89
% 293.42/42.89 [26175] CLOSURE : ~left_convergent_lines(L41_245_10, M42_245_10)
% 293.42/42.89
% 293.42/42.89 [26109] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [26156] ~(left_apart_point(A39_2300_9, L40_2300_9) | left_apart_point(A39_2300_9, reverse_line(L40_2300_9)))
% 293.42/42.89
% 293.42/42.89 [26156] ALPHA_NOT_OR : ~(left_apart_point(A39_2300_9, L40_2300_9) | left_apart_point(A39_2300_9, reverse_line(L40_2300_9)))
% 293.42/42.89 -> [26159] ~left_apart_point(A39_2300_9, L40_2300_9), ~left_apart_point(A39_2300_9, reverse_line(L40_2300_9))
% 293.42/42.89
% 293.42/42.89 [26159] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.89 -> [26176] ~(left_convergent_lines(L41_246_10, M42_246_10) | left_convergent_lines(L41_246_10, reverse_line(M42_246_10)))
% 293.42/42.89
% 293.42/42.89 [26176] ALPHA_NOT_OR : ~(left_convergent_lines(L41_246_10, M42_246_10) | left_convergent_lines(L41_246_10, reverse_line(M42_246_10)))
% 293.42/42.89 -> [26179] ~left_convergent_lines(L41_246_10, M42_246_10), ~left_convergent_lines(L41_246_10, reverse_line(M42_246_10))
% 293.42/42.89
% 293.42/42.89 [26179] CLOSURE : ~left_convergent_lines(L41_246_10, M42_246_10)
% 293.42/42.89
% 293.42/42.89 [26076] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.89 -> [26084] ~line(skolem_M7878)
% 293.42/42.89 -> [26085] ~line(skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [26084] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [26131] ((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))))
% 293.42/42.89
% 293.42/42.89 [26131] 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))))
% 293.42/42.89 -> [26132] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [26133] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89
% 293.42/42.89 [26133] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [26134] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89 -> [26135] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [26134] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [26180] ~(left_apart_point(A39_2304_9, L40_2304_9) | left_apart_point(A39_2304_9, reverse_line(L40_2304_9)))
% 293.42/42.89
% 293.42/42.89 [26180] ALPHA_NOT_OR : ~(left_apart_point(A39_2304_9, L40_2304_9) | left_apart_point(A39_2304_9, reverse_line(L40_2304_9)))
% 293.42/42.89 -> [26181] ~left_apart_point(A39_2304_9, L40_2304_9), ~left_apart_point(A39_2304_9, reverse_line(L40_2304_9))
% 293.42/42.89
% 293.42/42.89 [26181] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.89 -> [26259] ~(left_convergent_lines(L41_249_10, M42_249_10) | left_convergent_lines(L41_249_10, reverse_line(M42_249_10)))
% 293.42/42.89
% 293.42/42.89 [26259] ALPHA_NOT_OR : ~(left_convergent_lines(L41_249_10, M42_249_10) | left_convergent_lines(L41_249_10, reverse_line(M42_249_10)))
% 293.42/42.89 -> [26261] ~left_convergent_lines(L41_249_10, M42_249_10), ~left_convergent_lines(L41_249_10, reverse_line(M42_249_10))
% 293.42/42.89
% 293.42/42.89 [26261] CLOSURE : ~left_convergent_lines(L41_249_10, M42_249_10)
% 293.42/42.89
% 293.42/42.89 [26135] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [26169] ~(left_apart_point(A39_2303_9, L40_2303_9) | left_apart_point(A39_2303_9, reverse_line(L40_2303_9)))
% 293.42/42.89
% 293.42/42.89 [26169] ALPHA_NOT_OR : ~(left_apart_point(A39_2303_9, L40_2303_9) | left_apart_point(A39_2303_9, reverse_line(L40_2303_9)))
% 293.42/42.89 -> [26170] ~left_apart_point(A39_2303_9, L40_2303_9), ~left_apart_point(A39_2303_9, reverse_line(L40_2303_9))
% 293.42/42.89
% 293.42/42.89 [26170] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.89 -> [26260] ~(left_convergent_lines(L41_250_10, M42_250_10) | left_convergent_lines(L41_250_10, reverse_line(M42_250_10)))
% 293.42/42.89
% 293.42/42.89 [26260] ALPHA_NOT_OR : ~(left_convergent_lines(L41_250_10, M42_250_10) | left_convergent_lines(L41_250_10, reverse_line(M42_250_10)))
% 293.42/42.89 -> [26262] ~left_convergent_lines(L41_250_10, M42_250_10), ~left_convergent_lines(L41_250_10, reverse_line(M42_250_10))
% 293.42/42.89
% 293.42/42.89 [26262] CLOSURE : ~left_convergent_lines(L41_250_10, M42_250_10)
% 293.42/42.89
% 293.42/42.89 [26132] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [26148] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89 -> [26149] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [26149] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [26148] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89
% 293.42/42.89 [26085] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [26120] ((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))))
% 293.42/42.89
% 293.42/42.89 [26120] 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))))
% 293.42/42.89 -> [26123] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [26124] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89
% 293.42/42.89 [26123] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [26141] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89 -> [26142] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [26141] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89
% 293.42/42.89 [26142] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [26124] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [26125] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89 -> [26126] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [26125] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [26185] ~(left_apart_point(A39_2305_9, L40_2305_9) | left_apart_point(A39_2305_9, reverse_line(L40_2305_9)))
% 293.42/42.89
% 293.42/42.89 [26185] ALPHA_NOT_OR : ~(left_apart_point(A39_2305_9, L40_2305_9) | left_apart_point(A39_2305_9, reverse_line(L40_2305_9)))
% 293.42/42.89 -> [26188] ~left_apart_point(A39_2305_9, L40_2305_9), ~left_apart_point(A39_2305_9, reverse_line(L40_2305_9))
% 293.42/42.89
% 293.42/42.89 [26188] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.89 -> [26200] ~(left_convergent_lines(L41_248_10, M42_248_10) | left_convergent_lines(L41_248_10, reverse_line(M42_248_10)))
% 293.42/42.89
% 293.42/42.89 [26200] ALPHA_NOT_OR : ~(left_convergent_lines(L41_248_10, M42_248_10) | left_convergent_lines(L41_248_10, reverse_line(M42_248_10)))
% 293.42/42.89 -> [26203] ~left_convergent_lines(L41_248_10, M42_248_10), ~left_convergent_lines(L41_248_10, reverse_line(M42_248_10))
% 293.42/42.89
% 293.42/42.89 [26203] CLOSURE : ~left_convergent_lines(L41_248_10, M42_248_10)
% 293.42/42.89
% 293.42/42.89 [26126] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [26162] ~(left_apart_point(A39_2302_9, L40_2302_9) | left_apart_point(A39_2302_9, reverse_line(L40_2302_9)))
% 293.42/42.89
% 293.42/42.89 [26162] ALPHA_NOT_OR : ~(left_apart_point(A39_2302_9, L40_2302_9) | left_apart_point(A39_2302_9, reverse_line(L40_2302_9)))
% 293.42/42.89 -> [26163] ~left_apart_point(A39_2302_9, L40_2302_9), ~left_apart_point(A39_2302_9, reverse_line(L40_2302_9))
% 293.42/42.89
% 293.42/42.89 [26163] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.89 -> [26539] ~(left_convergent_lines(L41_257_10, M42_257_10) | left_convergent_lines(L41_257_10, reverse_line(M42_257_10)))
% 293.42/42.89
% 293.42/42.89 [26539] ALPHA_NOT_OR : ~(left_convergent_lines(L41_257_10, M42_257_10) | left_convergent_lines(L41_257_10, reverse_line(M42_257_10)))
% 293.42/42.89 -> [26543] ~left_convergent_lines(L41_257_10, M42_257_10), ~left_convergent_lines(L41_257_10, reverse_line(M42_257_10))
% 293.42/42.89
% 293.42/42.89 [26543] CLOSURE : ~left_convergent_lines(L41_257_10, M42_257_10)
% 293.42/42.89
% 293.42/42.89 [176] BETA_NOT_AND : ~(((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 293.42/42.89 -> [189] ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.89 -> [190] ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.42/42.89
% 293.42/42.89 [190] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.42/42.89 -> [198] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.42/42.89
% 293.42/42.89 [198] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.42/42.89 -> [436] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.89 -> [437] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.89
% 293.42/42.89 [437] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.89 -> [446] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.89
% 293.42/42.89 [446] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.89 -> [450] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.42/42.89 -> [451] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [451] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.89 -> [749] ~distinct_points(C23_58_1, C23_58_1)
% 293.42/42.89
% 293.42/42.89 [749] 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))))
% 293.42/42.89 -> [1131] (distinct_points(C23_58_1, C23_58_1) => (distinct_points(C23_58_1, C23_58_1) | distinct_points(C23_58_1, C23_58_1)))
% 293.42/42.89
% 293.42/42.89 [1131] BETA_IMPLY : (distinct_points(C23_58_1, C23_58_1) => (distinct_points(C23_58_1, C23_58_1) | distinct_points(C23_58_1, C23_58_1)))
% 293.42/42.89 -> [1132] ~distinct_points(C23_58_1, C23_58_1)
% 293.42/42.89 -> [1133] (distinct_points(C23_58_1, C23_58_1) | distinct_points(C23_58_1, C23_58_1))
% 293.42/42.89
% 293.42/42.89 [1133] BETA_OR : (distinct_points(C23_58_1, C23_58_1) | distinct_points(C23_58_1, C23_58_1))
% 293.42/42.89 -> [1142] distinct_points(C23_58_1, C23_58_1)
% 293.42/42.89 -> [1143] distinct_points(C23_58_1, C23_58_1)
% 293.42/42.89
% 293.42/42.89 [1142] CLOSURE : distinct_points(C23_58_1, C23_58_1)
% 293.42/42.89
% 293.42/42.89 [1143] CLOSURE : distinct_points(C23_58_1, C23_58_1)
% 293.42/42.89
% 293.42/42.89 [1132] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.89 -> [3562] ~distinct_lines(N27_63_3, N27_63_3)
% 293.42/42.89
% 293.42/42.89 [3562] 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))))
% 293.42/42.89 -> [3597] (distinct_lines(N27_63_3, N27_63_3) => (distinct_lines(N27_63_3, N27_63_3) | distinct_lines(N27_63_3, N27_63_3)))
% 293.42/42.89
% 293.42/42.89 [3597] 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)))
% 293.42/42.89 -> [3598] ~distinct_lines(N27_63_3, N27_63_3)
% 293.42/42.89 -> [3599] (distinct_lines(N27_63_3, N27_63_3) | distinct_lines(N27_63_3, N27_63_3))
% 293.42/42.89
% 293.42/42.89 [3599] BETA_OR : (distinct_lines(N27_63_3, N27_63_3) | distinct_lines(N27_63_3, N27_63_3))
% 293.42/42.89 -> [3603] distinct_lines(N27_63_3, N27_63_3)
% 293.42/42.89 -> [3604] distinct_lines(N27_63_3, N27_63_3)
% 293.42/42.89
% 293.42/42.89 [3603] CLOSURE : distinct_lines(N27_63_3, N27_63_3)
% 293.42/42.89
% 293.42/42.89 [3604] CLOSURE : distinct_lines(N27_63_3, N27_63_3)
% 293.42/42.89
% 293.42/42.89 [3598] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.89 -> [3671] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [3671] 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))))
% 293.42/42.89 -> [3774] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878)))
% 293.42/42.89
% 293.42/42.89 [3774] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878)))
% 293.42/42.89 -> [3778] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.42/42.89 -> [3779] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [3778] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.42/42.89
% 293.42/42.89 [3779] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878))
% 293.42/42.89 -> [4672] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89 -> [4673] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [4672] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [4673] 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))))))
% 293.42/42.89 -> [4726] ((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)))))
% 293.42/42.89
% 293.42/42.89 [4726] 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)))))
% 293.42/42.89 -> [4729] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [4730] ((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))))
% 293.42/42.89
% 293.42/42.89 [4729] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [4737] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89 -> [4738] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [4738] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [4737] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89
% 293.42/42.89 [4730] 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))))
% 293.42/42.89 -> [5519] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [5520] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.89
% 293.42/42.89 [5519] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [5533] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [5533] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [5520] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [5521] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [5521] 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)))))
% 293.42/42.89 -> [5634] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.89
% 293.42/42.89 [5634] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.89 -> [5636] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.89 -> [5637] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.89
% 293.42/42.89 [5637] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [5641] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89 -> [5642] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [5641] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [5642] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [6051] ((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))))
% 293.42/42.89
% 293.42/42.89 [6051] 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))))
% 293.42/42.89 -> [6055] ~(unequally_directed_lines(skolem_N7979, M38_38_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_38_8)))
% 293.42/42.89 -> [6056] (left_convergent_lines(skolem_N7979, M38_38_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_38_8)))
% 293.42/42.89
% 293.42/42.89 [6056] BETA_OR : (left_convergent_lines(skolem_N7979, M38_38_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_38_8)))
% 293.42/42.89 -> [6057] left_convergent_lines(skolem_N7979, M38_38_8)
% 293.42/42.89 -> [6058] left_convergent_lines(skolem_N7979, reverse_line(M38_38_8))
% 293.42/42.89
% 293.42/42.89 [6058] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [6092] ~(left_apart_point(A39_71_9, L40_71_9) | left_apart_point(A39_71_9, reverse_line(L40_71_9)))
% 293.42/42.89
% 293.42/42.89 [6092] ALPHA_NOT_OR : ~(left_apart_point(A39_71_9, L40_71_9) | left_apart_point(A39_71_9, reverse_line(L40_71_9)))
% 293.42/42.89 -> [6093] ~left_apart_point(A39_71_9, L40_71_9), ~left_apart_point(A39_71_9, reverse_line(L40_71_9))
% 293.42/42.89
% 293.42/42.89 [6093] CLOSURE : ~left_apart_point(A39_71_9, L40_71_9)
% 293.42/42.89
% 293.42/42.89 [6057] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [6098] ~(left_apart_point(A39_72_9, L40_72_9) | left_apart_point(A39_72_9, reverse_line(L40_72_9)))
% 293.42/42.89
% 293.42/42.89 [6098] ALPHA_NOT_OR : ~(left_apart_point(A39_72_9, L40_72_9) | left_apart_point(A39_72_9, reverse_line(L40_72_9)))
% 293.42/42.89 -> [6099] ~left_apart_point(A39_72_9, L40_72_9), ~left_apart_point(A39_72_9, reverse_line(L40_72_9))
% 293.42/42.89
% 293.42/42.89 [6099] CLOSURE : ~left_apart_point(A39_72_9, L40_72_9)
% 293.42/42.89
% 293.42/42.89 [6055] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_38_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_38_8)))
% 293.42/42.89 -> [6063] ~unequally_directed_lines(skolem_N7979, M38_38_8)
% 293.42/42.89 -> [6064] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_38_8))
% 293.42/42.89
% 293.42/42.89 [6064] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_38_8))
% 293.42/42.89
% 293.42/42.89 [6063] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_38_8)
% 293.42/42.89
% 293.42/42.89 [5636] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.89 -> [5654] ~line(skolem_M7878)
% 293.42/42.89 -> [5655] ~line(skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [5655] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [5737] ((unequally_directed_lines(skolem_N7979, M38_34_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_34_8))) => (left_convergent_lines(skolem_N7979, M38_34_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_34_8))))
% 293.42/42.89
% 293.42/42.89 [5737] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_34_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_34_8))) => (left_convergent_lines(skolem_N7979, M38_34_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_34_8))))
% 293.42/42.89 -> [5738] ~(unequally_directed_lines(skolem_N7979, M38_34_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_34_8)))
% 293.42/42.89 -> [5739] (left_convergent_lines(skolem_N7979, M38_34_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_34_8)))
% 293.42/42.89
% 293.42/42.89 [5739] BETA_OR : (left_convergent_lines(skolem_N7979, M38_34_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_34_8)))
% 293.42/42.89 -> [5743] left_convergent_lines(skolem_N7979, M38_34_8)
% 293.42/42.89 -> [5744] left_convergent_lines(skolem_N7979, reverse_line(M38_34_8))
% 293.42/42.89
% 293.42/42.89 [5744] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [6250] ~(left_apart_point(A39_78_9, L40_78_9) | left_apart_point(A39_78_9, reverse_line(L40_78_9)))
% 293.42/42.89
% 293.42/42.89 [6250] ALPHA_NOT_OR : ~(left_apart_point(A39_78_9, L40_78_9) | left_apart_point(A39_78_9, reverse_line(L40_78_9)))
% 293.42/42.89 -> [6253] ~left_apart_point(A39_78_9, L40_78_9), ~left_apart_point(A39_78_9, reverse_line(L40_78_9))
% 293.42/42.89
% 293.42/42.89 [6253] CLOSURE : ~left_apart_point(A39_78_9, L40_78_9)
% 293.42/42.89
% 293.42/42.89 [5743] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [6290] ~(left_apart_point(A39_80_9, L40_80_9) | left_apart_point(A39_80_9, reverse_line(L40_80_9)))
% 293.42/42.89
% 293.42/42.89 [6290] ALPHA_NOT_OR : ~(left_apart_point(A39_80_9, L40_80_9) | left_apart_point(A39_80_9, reverse_line(L40_80_9)))
% 293.42/42.89 -> [6291] ~left_apart_point(A39_80_9, L40_80_9), ~left_apart_point(A39_80_9, reverse_line(L40_80_9))
% 293.42/42.89
% 293.42/42.89 [6291] CLOSURE : ~left_apart_point(A39_80_9, L40_80_9)
% 293.42/42.89
% 293.42/42.89 [5738] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_34_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_34_8)))
% 293.42/42.89 -> [5789] ~unequally_directed_lines(skolem_N7979, M38_34_8)
% 293.42/42.89 -> [5790] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_34_8))
% 293.42/42.89
% 293.42/42.89 [5790] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_34_8))
% 293.42/42.89
% 293.42/42.89 [5789] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_34_8)
% 293.42/42.89
% 293.42/42.89 [5654] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [5779] ((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))))
% 293.42/42.89
% 293.42/42.89 [5779] 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))))
% 293.42/42.89 -> [5784] ~(unequally_directed_lines(skolem_N7979, M38_35_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_35_8)))
% 293.42/42.89 -> [5785] (left_convergent_lines(skolem_N7979, M38_35_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_35_8)))
% 293.42/42.89
% 293.42/42.89 [5785] BETA_OR : (left_convergent_lines(skolem_N7979, M38_35_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_35_8)))
% 293.42/42.89 -> [5786] left_convergent_lines(skolem_N7979, M38_35_8)
% 293.42/42.89 -> [5787] left_convergent_lines(skolem_N7979, reverse_line(M38_35_8))
% 293.42/42.89
% 293.42/42.89 [5787] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [6200] ~(left_apart_point(A39_77_9, L40_77_9) | left_apart_point(A39_77_9, reverse_line(L40_77_9)))
% 293.42/42.89
% 293.42/42.89 [6200] ALPHA_NOT_OR : ~(left_apart_point(A39_77_9, L40_77_9) | left_apart_point(A39_77_9, reverse_line(L40_77_9)))
% 293.42/42.89 -> [6201] ~left_apart_point(A39_77_9, L40_77_9), ~left_apart_point(A39_77_9, reverse_line(L40_77_9))
% 293.42/42.89
% 293.42/42.89 [6201] CLOSURE : ~left_apart_point(A39_77_9, L40_77_9)
% 293.42/42.89
% 293.42/42.89 [5786] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [6281] ~(left_apart_point(A39_79_9, L40_79_9) | left_apart_point(A39_79_9, reverse_line(L40_79_9)))
% 293.42/42.89
% 293.42/42.89 [6281] ALPHA_NOT_OR : ~(left_apart_point(A39_79_9, L40_79_9) | left_apart_point(A39_79_9, reverse_line(L40_79_9)))
% 293.42/42.89 -> [6282] ~left_apart_point(A39_79_9, L40_79_9), ~left_apart_point(A39_79_9, reverse_line(L40_79_9))
% 293.42/42.89
% 293.42/42.89 [6282] CLOSURE : ~left_apart_point(A39_79_9, L40_79_9)
% 293.42/42.89
% 293.42/42.89 [5784] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_35_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_35_8)))
% 293.42/42.89 -> [5833] ~unequally_directed_lines(skolem_N7979, M38_35_8)
% 293.42/42.89 -> [5834] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_35_8))
% 293.42/42.89
% 293.42/42.89 [5834] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_35_8))
% 293.42/42.89
% 293.42/42.89 [5833] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_35_8)
% 293.42/42.89
% 293.42/42.89 [450] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.89 -> [1134] ~distinct_points(C23_172_1, C23_172_1)
% 293.42/42.89
% 293.42/42.89 [1134] 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))))
% 293.42/42.89 -> [1897] (distinct_points(C23_172_1, C23_172_1) => (distinct_points(C23_172_1, C23_172_1) | distinct_points(C23_172_1, C23_172_1)))
% 293.42/42.89
% 293.42/42.89 [1897] BETA_IMPLY : (distinct_points(C23_172_1, C23_172_1) => (distinct_points(C23_172_1, C23_172_1) | distinct_points(C23_172_1, C23_172_1)))
% 293.42/42.89 -> [1900] ~distinct_points(C23_172_1, C23_172_1)
% 293.42/42.89 -> [1901] (distinct_points(C23_172_1, C23_172_1) | distinct_points(C23_172_1, C23_172_1))
% 293.42/42.89
% 293.42/42.89 [1901] BETA_OR : (distinct_points(C23_172_1, C23_172_1) | distinct_points(C23_172_1, C23_172_1))
% 293.42/42.89 -> [1904] distinct_points(C23_172_1, C23_172_1)
% 293.42/42.89 -> [1905] distinct_points(C23_172_1, C23_172_1)
% 293.42/42.89
% 293.42/42.89 [1905] CLOSURE : distinct_points(C23_172_1, C23_172_1)
% 293.42/42.89
% 293.42/42.89 [1904] CLOSURE : distinct_points(C23_172_1, C23_172_1)
% 293.42/42.89
% 293.42/42.89 [1900] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.89 -> [3613] ~distinct_lines(N27_67_3, N27_67_3)
% 293.42/42.89
% 293.42/42.89 [3613] 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))))
% 293.42/42.89 -> [3646] (distinct_lines(N27_67_3, N27_67_3) => (distinct_lines(N27_67_3, N27_67_3) | distinct_lines(N27_67_3, N27_67_3)))
% 293.42/42.89
% 293.42/42.89 [3646] 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)))
% 293.42/42.89 -> [3649] ~distinct_lines(N27_67_3, N27_67_3)
% 293.42/42.89 -> [3650] (distinct_lines(N27_67_3, N27_67_3) | distinct_lines(N27_67_3, N27_67_3))
% 293.42/42.89
% 293.42/42.89 [3650] BETA_OR : (distinct_lines(N27_67_3, N27_67_3) | distinct_lines(N27_67_3, N27_67_3))
% 293.42/42.89 -> [3653] distinct_lines(N27_67_3, N27_67_3)
% 293.42/42.89 -> [3654] distinct_lines(N27_67_3, N27_67_3)
% 293.42/42.89
% 293.42/42.89 [3653] CLOSURE : distinct_lines(N27_67_3, N27_67_3)
% 293.42/42.89
% 293.42/42.89 [3654] CLOSURE : distinct_lines(N27_67_3, N27_67_3)
% 293.42/42.89
% 293.42/42.89 [3649] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.89 -> [3707] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [3707] 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))))
% 293.42/42.89 -> [3823] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878)))
% 293.42/42.89
% 293.42/42.89 [3823] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878)))
% 293.42/42.89 -> [3828] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.42/42.89 -> [3829] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [3828] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.42/42.89
% 293.42/42.89 [3829] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878))
% 293.42/42.89 -> [10023] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89 -> [10024] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [10023] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [10024] 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))))))
% 293.42/42.89 -> [11687] ((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)))))
% 293.42/42.89
% 293.42/42.89 [11687] 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)))))
% 293.42/42.89 -> [11688] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [11689] ((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))))
% 293.42/42.89
% 293.42/42.89 [11688] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [11736] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89 -> [11737] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [11737] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [11736] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89
% 293.42/42.89 [11689] 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))))
% 293.42/42.89 -> [15963] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [15964] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.89
% 293.42/42.89 [15963] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [17564] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [17564] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [15964] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [15965] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [15965] 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)))))
% 293.42/42.89 -> [17986] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.89
% 293.42/42.89 [17986] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.89 -> [17987] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.89 -> [17988] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.89
% 293.42/42.89 [17987] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.89 -> [18048] ~line(skolem_M7878)
% 293.42/42.89 -> [18049] ~line(skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [18048] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [18345] ((unequally_directed_lines(skolem_N7979, M38_636_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_636_8))) => (left_convergent_lines(skolem_N7979, M38_636_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_636_8))))
% 293.42/42.89
% 293.42/42.89 [18345] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_636_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_636_8))) => (left_convergent_lines(skolem_N7979, M38_636_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_636_8))))
% 293.42/42.89 -> [18348] ~(unequally_directed_lines(skolem_N7979, M38_636_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_636_8)))
% 293.42/42.89 -> [18349] (left_convergent_lines(skolem_N7979, M38_636_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_636_8)))
% 293.42/42.89
% 293.42/42.89 [18349] BETA_OR : (left_convergent_lines(skolem_N7979, M38_636_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_636_8)))
% 293.42/42.89 -> [18358] left_convergent_lines(skolem_N7979, M38_636_8)
% 293.42/42.89 -> [18359] left_convergent_lines(skolem_N7979, reverse_line(M38_636_8))
% 293.42/42.89
% 293.42/42.89 [18359] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [18459] ~(left_apart_point(A39_1225_9, L40_1225_9) | left_apart_point(A39_1225_9, reverse_line(L40_1225_9)))
% 293.42/42.89
% 293.42/42.89 [18459] ALPHA_NOT_OR : ~(left_apart_point(A39_1225_9, L40_1225_9) | left_apart_point(A39_1225_9, reverse_line(L40_1225_9)))
% 293.42/42.89 -> [18462] ~left_apart_point(A39_1225_9, L40_1225_9), ~left_apart_point(A39_1225_9, reverse_line(L40_1225_9))
% 293.42/42.89
% 293.42/42.89 [18462] CLOSURE : ~left_apart_point(A39_1225_9, L40_1225_9)
% 293.42/42.89
% 293.42/42.89 [18358] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [18520] ~(left_apart_point(A39_1232_9, L40_1232_9) | left_apart_point(A39_1232_9, reverse_line(L40_1232_9)))
% 293.42/42.89
% 293.42/42.89 [18520] ALPHA_NOT_OR : ~(left_apart_point(A39_1232_9, L40_1232_9) | left_apart_point(A39_1232_9, reverse_line(L40_1232_9)))
% 293.42/42.89 -> [18522] ~left_apart_point(A39_1232_9, L40_1232_9), ~left_apart_point(A39_1232_9, reverse_line(L40_1232_9))
% 293.42/42.89
% 293.42/42.89 [18522] CLOSURE : ~left_apart_point(A39_1232_9, L40_1232_9)
% 293.42/42.89
% 293.42/42.89 [18348] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_636_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_636_8)))
% 293.42/42.89 -> [18389] ~unequally_directed_lines(skolem_N7979, M38_636_8)
% 293.42/42.89 -> [18390] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_636_8))
% 293.42/42.89
% 293.42/42.89 [18390] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_636_8))
% 293.42/42.89
% 293.42/42.89 [18389] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_636_8)
% 293.42/42.89
% 293.42/42.89 [18049] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [18360] ((unequally_directed_lines(skolem_N7979, M38_637_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_637_8))) => (left_convergent_lines(skolem_N7979, M38_637_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_637_8))))
% 293.42/42.89
% 293.42/42.89 [18360] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_637_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_637_8))) => (left_convergent_lines(skolem_N7979, M38_637_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_637_8))))
% 293.42/42.89 -> [18363] ~(unequally_directed_lines(skolem_N7979, M38_637_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_637_8)))
% 293.42/42.89 -> [18364] (left_convergent_lines(skolem_N7979, M38_637_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_637_8)))
% 293.42/42.89
% 293.42/42.89 [18363] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_637_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_637_8)))
% 293.42/42.89 -> [18404] ~unequally_directed_lines(skolem_N7979, M38_637_8)
% 293.42/42.89 -> [18405] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_637_8))
% 293.42/42.89
% 293.42/42.89 [18405] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_637_8))
% 293.42/42.89
% 293.42/42.89 [18404] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_637_8)
% 293.42/42.89
% 293.42/42.89 [18364] BETA_OR : (left_convergent_lines(skolem_N7979, M38_637_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_637_8)))
% 293.42/42.89 -> [18365] left_convergent_lines(skolem_N7979, M38_637_8)
% 293.42/42.89 -> [18366] left_convergent_lines(skolem_N7979, reverse_line(M38_637_8))
% 293.42/42.89
% 293.42/42.89 [18365] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [18904] ~(left_apart_point(A39_1277_9, L40_1277_9) | left_apart_point(A39_1277_9, reverse_line(L40_1277_9)))
% 293.42/42.89
% 293.42/42.89 [18904] ALPHA_NOT_OR : ~(left_apart_point(A39_1277_9, L40_1277_9) | left_apart_point(A39_1277_9, reverse_line(L40_1277_9)))
% 293.42/42.89 -> [18906] ~left_apart_point(A39_1277_9, L40_1277_9), ~left_apart_point(A39_1277_9, reverse_line(L40_1277_9))
% 293.42/42.89
% 293.42/42.89 [18906] CLOSURE : ~left_apart_point(A39_1277_9, L40_1277_9)
% 293.42/42.89
% 293.42/42.89 [18366] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [18921] ~(left_apart_point(A39_1280_9, L40_1280_9) | left_apart_point(A39_1280_9, reverse_line(L40_1280_9)))
% 293.42/42.89
% 293.42/42.89 [18921] ALPHA_NOT_OR : ~(left_apart_point(A39_1280_9, L40_1280_9) | left_apart_point(A39_1280_9, reverse_line(L40_1280_9)))
% 293.42/42.89 -> [18925] ~left_apart_point(A39_1280_9, L40_1280_9), ~left_apart_point(A39_1280_9, reverse_line(L40_1280_9))
% 293.42/42.89
% 293.42/42.89 [18925] CLOSURE : ~left_apart_point(A39_1280_9, L40_1280_9)
% 293.42/42.89
% 293.42/42.89 [17988] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [17991] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89 -> [17992] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [17991] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [17992] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [18285] ((unequally_directed_lines(skolem_N7979, M38_632_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_632_8))) => (left_convergent_lines(skolem_N7979, M38_632_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_632_8))))
% 293.42/42.89
% 293.42/42.89 [18285] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_632_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_632_8))) => (left_convergent_lines(skolem_N7979, M38_632_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_632_8))))
% 293.42/42.89 -> [18289] ~(unequally_directed_lines(skolem_N7979, M38_632_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_632_8)))
% 293.42/42.89 -> [18290] (left_convergent_lines(skolem_N7979, M38_632_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_632_8)))
% 293.42/42.89
% 293.42/42.89 [18290] BETA_OR : (left_convergent_lines(skolem_N7979, M38_632_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_632_8)))
% 293.42/42.89 -> [18295] left_convergent_lines(skolem_N7979, M38_632_8)
% 293.42/42.89 -> [18296] left_convergent_lines(skolem_N7979, reverse_line(M38_632_8))
% 293.42/42.89
% 293.42/42.89 [18295] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [18538] ~(left_apart_point(A39_1233_9, L40_1233_9) | left_apart_point(A39_1233_9, reverse_line(L40_1233_9)))
% 293.42/42.89
% 293.42/42.89 [18538] ALPHA_NOT_OR : ~(left_apart_point(A39_1233_9, L40_1233_9) | left_apart_point(A39_1233_9, reverse_line(L40_1233_9)))
% 293.42/42.89 -> [18544] ~left_apart_point(A39_1233_9, L40_1233_9), ~left_apart_point(A39_1233_9, reverse_line(L40_1233_9))
% 293.42/42.89
% 293.42/42.89 [18544] CLOSURE : ~left_apart_point(A39_1233_9, L40_1233_9)
% 293.42/42.89
% 293.42/42.89 [18296] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [18470] ~(left_apart_point(A39_1226_9, L40_1226_9) | left_apart_point(A39_1226_9, reverse_line(L40_1226_9)))
% 293.42/42.89
% 293.42/42.89 [18470] ALPHA_NOT_OR : ~(left_apart_point(A39_1226_9, L40_1226_9) | left_apart_point(A39_1226_9, reverse_line(L40_1226_9)))
% 293.42/42.89 -> [18472] ~left_apart_point(A39_1226_9, L40_1226_9), ~left_apart_point(A39_1226_9, reverse_line(L40_1226_9))
% 293.42/42.89
% 293.42/42.89 [18472] CLOSURE : ~left_apart_point(A39_1226_9, L40_1226_9)
% 293.42/42.89
% 293.42/42.89 [18289] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_632_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_632_8)))
% 293.42/42.89 -> [18371] ~unequally_directed_lines(skolem_N7979, M38_632_8)
% 293.42/42.89 -> [18372] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_632_8))
% 293.42/42.89
% 293.42/42.89 [18372] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_632_8))
% 293.42/42.89
% 293.42/42.89 [18371] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_632_8)
% 293.42/42.89
% 293.42/42.89 [436] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.89 -> [853] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))
% 293.42/42.89 -> [854] ~~(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)))
% 293.42/42.89
% 293.42/42.89 [853] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.89 -> [1665] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.89
% 293.42/42.89 [1665] 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))))
% 293.42/42.89 -> [1947] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.89
% 293.42/42.89 [1947] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.89 -> [1948] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.89 -> [1949] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.89
% 293.42/42.89 [1948] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.89
% 293.42/42.89 [1949] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.89 -> [2324] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.89 -> [2325] distinct_points(skolem_C8282, skolem_B8181)
% 293.42/42.89
% 293.42/42.89 [2324] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.89
% 293.42/42.89 [2325] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.89 -> [2341] ~distinct_lines(N27_19_3, N27_19_3)
% 293.42/42.89
% 293.42/42.89 [2341] 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))))
% 293.42/42.89 -> [2350] (distinct_lines(N27_19_3, N27_19_3) => (distinct_lines(N27_19_3, N27_19_3) | distinct_lines(N27_19_3, N27_19_3)))
% 293.42/42.89
% 293.42/42.89 [2350] 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)))
% 293.42/42.89 -> [2351] ~distinct_lines(N27_19_3, N27_19_3)
% 293.42/42.89 -> [2352] (distinct_lines(N27_19_3, N27_19_3) | distinct_lines(N27_19_3, N27_19_3))
% 293.42/42.89
% 293.42/42.89 [2352] BETA_OR : (distinct_lines(N27_19_3, N27_19_3) | distinct_lines(N27_19_3, N27_19_3))
% 293.42/42.89 -> [2355] distinct_lines(N27_19_3, N27_19_3)
% 293.42/42.89 -> [2356] distinct_lines(N27_19_3, N27_19_3)
% 293.42/42.89
% 293.42/42.89 [2355] CLOSURE : distinct_lines(N27_19_3, N27_19_3)
% 293.42/42.89
% 293.42/42.89 [2356] CLOSURE : distinct_lines(N27_19_3, N27_19_3)
% 293.42/42.89
% 293.42/42.89 [2351] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.89 -> [2371] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [2371] 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))))
% 293.42/42.89 -> [2378] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878)))
% 293.42/42.89
% 293.42/42.89 [2378] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878)))
% 293.42/42.89 -> [2379] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.42/42.89 -> [2380] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [2379] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.42/42.89
% 293.42/42.89 [2380] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878))
% 293.42/42.89 -> [2437] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89 -> [2438] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [2437] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [2438] 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))))))
% 293.42/42.89 -> [4468] ((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)))))
% 293.42/42.89
% 293.42/42.89 [4468] 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)))))
% 293.42/42.89 -> [4469] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [4470] ((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))))
% 293.42/42.89
% 293.42/42.89 [4469] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [4487] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89 -> [4488] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [4488] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [4487] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89
% 293.42/42.89 [4470] 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))))
% 293.42/42.89 -> [7945] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [7946] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.89
% 293.42/42.89 [7945] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [7955] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [7955] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [7946] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [7948] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [7948] 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)))))
% 293.42/42.89 -> [8094] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.89
% 293.42/42.89 [8094] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.89 -> [8095] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.89 -> [8096] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.89
% 293.42/42.89 [8096] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [8097] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89 -> [8098] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [8097] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [8098] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [8214] ((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))))
% 293.42/42.89
% 293.42/42.89 [8214] 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))))
% 293.42/42.89 -> [8216] ~(unequally_directed_lines(skolem_N7979, M38_80_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_80_8)))
% 293.42/42.89 -> [8217] (left_convergent_lines(skolem_N7979, M38_80_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_80_8)))
% 293.42/42.89
% 293.42/42.89 [8216] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_80_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_80_8)))
% 293.42/42.89 -> [8264] ~unequally_directed_lines(skolem_N7979, M38_80_8)
% 293.42/42.89 -> [8265] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_80_8))
% 293.42/42.89
% 293.42/42.89 [8265] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_80_8))
% 293.42/42.89
% 293.42/42.89 [8264] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_80_8)
% 293.42/42.89
% 293.42/42.89 [8217] BETA_OR : (left_convergent_lines(skolem_N7979, M38_80_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_80_8)))
% 293.42/42.89 -> [8223] left_convergent_lines(skolem_N7979, M38_80_8)
% 293.42/42.89 -> [8224] left_convergent_lines(skolem_N7979, reverse_line(M38_80_8))
% 293.42/42.89
% 293.42/42.89 [8224] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [8474] ~(left_apart_point(A39_156_9, L40_156_9) | left_apart_point(A39_156_9, reverse_line(L40_156_9)))
% 293.42/42.89
% 293.42/42.89 [8474] ALPHA_NOT_OR : ~(left_apart_point(A39_156_9, L40_156_9) | left_apart_point(A39_156_9, reverse_line(L40_156_9)))
% 293.42/42.89 -> [8478] ~left_apart_point(A39_156_9, L40_156_9), ~left_apart_point(A39_156_9, reverse_line(L40_156_9))
% 293.42/42.89
% 293.42/42.89 [8478] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.89 -> [8653] ~(left_convergent_lines(L41_59_10, M42_59_10) | left_convergent_lines(L41_59_10, reverse_line(M42_59_10)))
% 293.42/42.89
% 293.42/42.89 [8653] ALPHA_NOT_OR : ~(left_convergent_lines(L41_59_10, M42_59_10) | left_convergent_lines(L41_59_10, reverse_line(M42_59_10)))
% 293.42/42.89 -> [8654] ~left_convergent_lines(L41_59_10, M42_59_10), ~left_convergent_lines(L41_59_10, reverse_line(M42_59_10))
% 293.42/42.89
% 293.42/42.89 [8654] CLOSURE : ~left_convergent_lines(L41_59_10, M42_59_10)
% 293.42/42.89
% 293.42/42.89 [8223] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [8529] ~(left_apart_point(A39_161_9, L40_161_9) | left_apart_point(A39_161_9, reverse_line(L40_161_9)))
% 293.42/42.89
% 293.42/42.89 [8529] ALPHA_NOT_OR : ~(left_apart_point(A39_161_9, L40_161_9) | left_apart_point(A39_161_9, reverse_line(L40_161_9)))
% 293.42/42.89 -> [8532] ~left_apart_point(A39_161_9, L40_161_9), ~left_apart_point(A39_161_9, reverse_line(L40_161_9))
% 293.42/42.89
% 293.42/42.89 [8532] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.89 -> [8676] ~(left_convergent_lines(L41_60_10, M42_60_10) | left_convergent_lines(L41_60_10, reverse_line(M42_60_10)))
% 293.42/42.89
% 293.42/42.89 [8676] ALPHA_NOT_OR : ~(left_convergent_lines(L41_60_10, M42_60_10) | left_convergent_lines(L41_60_10, reverse_line(M42_60_10)))
% 293.42/42.89 -> [8679] ~left_convergent_lines(L41_60_10, M42_60_10), ~left_convergent_lines(L41_60_10, reverse_line(M42_60_10))
% 293.42/42.89
% 293.42/42.89 [8679] CLOSURE : ~left_convergent_lines(L41_60_10, M42_60_10)
% 293.42/42.89
% 293.42/42.89 [8095] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.89 -> [8119] ~line(skolem_M7878)
% 293.42/42.89 -> [8120] ~line(skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [8120] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [8206] ((unequally_directed_lines(skolem_N7979, M38_79_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_79_8))) => (left_convergent_lines(skolem_N7979, M38_79_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_79_8))))
% 293.42/42.89
% 293.42/42.89 [8206] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_79_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_79_8))) => (left_convergent_lines(skolem_N7979, M38_79_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_79_8))))
% 293.42/42.89 -> [8207] ~(unequally_directed_lines(skolem_N7979, M38_79_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_79_8)))
% 293.42/42.89 -> [8208] (left_convergent_lines(skolem_N7979, M38_79_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_79_8)))
% 293.42/42.89
% 293.42/42.89 [8207] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_79_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_79_8)))
% 293.42/42.89 -> [8252] ~unequally_directed_lines(skolem_N7979, M38_79_8)
% 293.42/42.89 -> [8253] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_79_8))
% 293.42/42.89
% 293.42/42.89 [8253] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_79_8))
% 293.42/42.89
% 293.42/42.89 [8252] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_79_8)
% 293.42/42.89
% 293.42/42.89 [8208] BETA_OR : (left_convergent_lines(skolem_N7979, M38_79_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_79_8)))
% 293.42/42.89 -> [8209] left_convergent_lines(skolem_N7979, M38_79_8)
% 293.42/42.89 -> [8210] left_convergent_lines(skolem_N7979, reverse_line(M38_79_8))
% 293.42/42.89
% 293.42/42.89 [8210] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [8465] ~(left_apart_point(A39_154_9, L40_154_9) | left_apart_point(A39_154_9, reverse_line(L40_154_9)))
% 293.42/42.89
% 293.42/42.89 [8465] ALPHA_NOT_OR : ~(left_apart_point(A39_154_9, L40_154_9) | left_apart_point(A39_154_9, reverse_line(L40_154_9)))
% 293.42/42.89 -> [8466] ~left_apart_point(A39_154_9, L40_154_9), ~left_apart_point(A39_154_9, reverse_line(L40_154_9))
% 293.42/42.89
% 293.42/42.89 [8466] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.89 -> [8647] ~(left_convergent_lines(L41_58_10, M42_58_10) | left_convergent_lines(L41_58_10, reverse_line(M42_58_10)))
% 293.42/42.89
% 293.42/42.89 [8647] ALPHA_NOT_OR : ~(left_convergent_lines(L41_58_10, M42_58_10) | left_convergent_lines(L41_58_10, reverse_line(M42_58_10)))
% 293.42/42.89 -> [8648] ~left_convergent_lines(L41_58_10, M42_58_10), ~left_convergent_lines(L41_58_10, reverse_line(M42_58_10))
% 293.42/42.89
% 293.42/42.89 [8648] CLOSURE : ~left_convergent_lines(L41_58_10, M42_58_10)
% 293.42/42.89
% 293.42/42.89 [8209] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [8564] ~(left_apart_point(A39_165_9, L40_165_9) | left_apart_point(A39_165_9, reverse_line(L40_165_9)))
% 293.42/42.89
% 293.42/42.89 [8564] ALPHA_NOT_OR : ~(left_apart_point(A39_165_9, L40_165_9) | left_apart_point(A39_165_9, reverse_line(L40_165_9)))
% 293.42/42.89 -> [8565] ~left_apart_point(A39_165_9, L40_165_9), ~left_apart_point(A39_165_9, reverse_line(L40_165_9))
% 293.42/42.89
% 293.42/42.89 [8565] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.89 -> [8695] ~(left_convergent_lines(L41_62_10, M42_62_10) | left_convergent_lines(L41_62_10, reverse_line(M42_62_10)))
% 293.42/42.89
% 293.42/42.89 [8695] ALPHA_NOT_OR : ~(left_convergent_lines(L41_62_10, M42_62_10) | left_convergent_lines(L41_62_10, reverse_line(M42_62_10)))
% 293.42/42.89 -> [8697] ~left_convergent_lines(L41_62_10, M42_62_10), ~left_convergent_lines(L41_62_10, reverse_line(M42_62_10))
% 293.42/42.89
% 293.42/42.89 [8697] CLOSURE : ~left_convergent_lines(L41_62_10, M42_62_10)
% 293.42/42.89
% 293.42/42.89 [8119] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [8236] ((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))))
% 293.42/42.89
% 293.42/42.89 [8236] 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))))
% 293.42/42.89 -> [8237] ~(unequally_directed_lines(skolem_N7979, M38_81_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_81_8)))
% 293.42/42.89 -> [8238] (left_convergent_lines(skolem_N7979, M38_81_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_81_8)))
% 293.42/42.89
% 293.42/42.89 [8237] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_81_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_81_8)))
% 293.42/42.89 -> [8337] ~unequally_directed_lines(skolem_N7979, M38_81_8)
% 293.42/42.89 -> [8338] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_81_8))
% 293.42/42.89
% 293.42/42.89 [8338] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_81_8))
% 293.42/42.89
% 293.42/42.89 [8337] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_81_8)
% 293.42/42.89
% 293.42/42.89 [8238] BETA_OR : (left_convergent_lines(skolem_N7979, M38_81_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_81_8)))
% 293.42/42.89 -> [8242] left_convergent_lines(skolem_N7979, M38_81_8)
% 293.42/42.89 -> [8243] left_convergent_lines(skolem_N7979, reverse_line(M38_81_8))
% 293.42/42.89
% 293.42/42.89 [8242] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [8559] ~(left_apart_point(A39_163_9, L40_163_9) | left_apart_point(A39_163_9, reverse_line(L40_163_9)))
% 293.42/42.89
% 293.42/42.89 [8559] ALPHA_NOT_OR : ~(left_apart_point(A39_163_9, L40_163_9) | left_apart_point(A39_163_9, reverse_line(L40_163_9)))
% 293.42/42.89 -> [8560] ~left_apart_point(A39_163_9, L40_163_9), ~left_apart_point(A39_163_9, reverse_line(L40_163_9))
% 293.42/42.89
% 293.42/42.89 [8560] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.89 -> [8691] ~(left_convergent_lines(L41_61_10, M42_61_10) | left_convergent_lines(L41_61_10, reverse_line(M42_61_10)))
% 293.42/42.89
% 293.42/42.89 [8691] ALPHA_NOT_OR : ~(left_convergent_lines(L41_61_10, M42_61_10) | left_convergent_lines(L41_61_10, reverse_line(M42_61_10)))
% 293.42/42.89 -> [8694] ~left_convergent_lines(L41_61_10, M42_61_10), ~left_convergent_lines(L41_61_10, reverse_line(M42_61_10))
% 293.42/42.89
% 293.42/42.89 [8694] CLOSURE : ~left_convergent_lines(L41_61_10, M42_61_10)
% 293.42/42.89
% 293.42/42.89 [8243] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [9344] ~(left_apart_point(A39_229_9, L40_229_9) | left_apart_point(A39_229_9, reverse_line(L40_229_9)))
% 293.42/42.89
% 293.42/42.89 [9344] ALPHA_NOT_OR : ~(left_apart_point(A39_229_9, L40_229_9) | left_apart_point(A39_229_9, reverse_line(L40_229_9)))
% 293.42/42.89 -> [9346] ~left_apart_point(A39_229_9, L40_229_9), ~left_apart_point(A39_229_9, reverse_line(L40_229_9))
% 293.42/42.89
% 293.42/42.89 [9346] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.89 -> [9399] ~(left_convergent_lines(L41_63_10, M42_63_10) | left_convergent_lines(L41_63_10, reverse_line(M42_63_10)))
% 293.42/42.89
% 293.42/42.89 [9399] ALPHA_NOT_OR : ~(left_convergent_lines(L41_63_10, M42_63_10) | left_convergent_lines(L41_63_10, reverse_line(M42_63_10)))
% 293.42/42.89 -> [9403] ~left_convergent_lines(L41_63_10, M42_63_10), ~left_convergent_lines(L41_63_10, reverse_line(M42_63_10))
% 293.42/42.89
% 293.42/42.89 [9403] CLOSURE : ~left_convergent_lines(L41_63_10, M42_63_10)
% 293.42/42.89
% 293.42/42.89 [854] 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)))
% 293.42/42.89 -> [867] (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)))
% 293.42/42.89
% 293.42/42.89 [867] 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)))
% 293.42/42.89 -> [869] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 293.42/42.89 -> [870] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [870] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.89 -> [1774] ~distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.89
% 293.42/42.89 [1774] 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))))
% 293.42/42.89 -> [1861] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.89
% 293.42/42.89 [1861] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.89 -> [1864] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.89 -> [1865] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.89
% 293.42/42.89 [1864] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.89
% 293.42/42.89 [1865] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.89 -> [3279] distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.89 -> [3280] distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.89
% 293.42/42.89 [3280] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.89
% 293.42/42.89 [3279] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.89 -> [3594] ~distinct_lines(N27_68_3, N27_68_3)
% 293.42/42.89
% 293.42/42.89 [3594] 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))))
% 293.42/42.89 -> [3688] (distinct_lines(N27_68_3, N27_68_3) => (distinct_lines(N27_68_3, N27_68_3) | distinct_lines(N27_68_3, N27_68_3)))
% 293.42/42.89
% 293.42/42.89 [3688] 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)))
% 293.42/42.89 -> [3689] ~distinct_lines(N27_68_3, N27_68_3)
% 293.42/42.89 -> [3690] (distinct_lines(N27_68_3, N27_68_3) | distinct_lines(N27_68_3, N27_68_3))
% 293.42/42.89
% 293.42/42.89 [3690] BETA_OR : (distinct_lines(N27_68_3, N27_68_3) | distinct_lines(N27_68_3, N27_68_3))
% 293.42/42.89 -> [3694] distinct_lines(N27_68_3, N27_68_3)
% 293.42/42.89 -> [3695] distinct_lines(N27_68_3, N27_68_3)
% 293.42/42.89
% 293.42/42.89 [3694] CLOSURE : distinct_lines(N27_68_3, N27_68_3)
% 293.42/42.89
% 293.42/42.89 [3695] CLOSURE : distinct_lines(N27_68_3, N27_68_3)
% 293.42/42.89
% 293.42/42.89 [3689] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.89 -> [3775] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [3775] 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))))
% 293.42/42.89 -> [3883] (unequally_directed_lines(skolem_M7878, skolem_N7979) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_N7979, skolem_M7878)))
% 293.42/42.89
% 293.42/42.89 [3883] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, skolem_N7979) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_N7979, skolem_M7878)))
% 293.42/42.89 -> [3885] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89 -> [3886] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_N7979, skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [3885] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89
% 293.42/42.89 [3886] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_N7979, skolem_M7878))
% 293.42/42.89 -> [5411] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89 -> [5412] unequally_directed_lines(skolem_N7979, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [5411] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [5412] 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))))))
% 293.42/42.89 -> [6865] ((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)))))
% 293.42/42.89
% 293.42/42.89 [6865] 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)))))
% 293.42/42.89 -> [6866] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [6867] ((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))))
% 293.42/42.89
% 293.42/42.89 [6866] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [6890] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89 -> [6891] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [6891] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [6890] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89
% 293.42/42.89 [6867] 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))))
% 293.42/42.89 -> [10142] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [10143] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.89
% 293.42/42.89 [10142] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [10153] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [10153] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [10143] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [10145] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [10145] 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)))))
% 293.42/42.89 -> [10212] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.89
% 293.42/42.89 [10212] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.89 -> [10213] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.89 -> [10214] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.89
% 293.42/42.89 [10213] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.89 -> [10230] ~line(skolem_M7878)
% 293.42/42.89 -> [10231] ~line(skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [10231] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [10337] ((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))))
% 293.42/42.89
% 293.42/42.89 [10337] 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))))
% 293.42/42.89 -> [10342] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [10343] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89
% 293.42/42.89 [10343] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [10348] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89 -> [10349] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [10349] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [10507] ~(left_apart_point(A39_347_9, L40_347_9) | left_apart_point(A39_347_9, reverse_line(L40_347_9)))
% 293.42/42.89
% 293.42/42.89 [10507] ALPHA_NOT_OR : ~(left_apart_point(A39_347_9, L40_347_9) | left_apart_point(A39_347_9, reverse_line(L40_347_9)))
% 293.42/42.89 -> [10508] ~left_apart_point(A39_347_9, L40_347_9), ~left_apart_point(A39_347_9, reverse_line(L40_347_9))
% 293.42/42.89
% 293.42/42.89 [10508] CLOSURE : ~left_apart_point(A39_347_9, L40_347_9)
% 293.42/42.89
% 293.42/42.89 [10348] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [10563] ~(left_apart_point(A39_356_9, L40_356_9) | left_apart_point(A39_356_9, reverse_line(L40_356_9)))
% 293.42/42.89
% 293.42/42.89 [10563] ALPHA_NOT_OR : ~(left_apart_point(A39_356_9, L40_356_9) | left_apart_point(A39_356_9, reverse_line(L40_356_9)))
% 293.42/42.89 -> [10564] ~left_apart_point(A39_356_9, L40_356_9), ~left_apart_point(A39_356_9, reverse_line(L40_356_9))
% 293.42/42.89
% 293.42/42.89 [10564] CLOSURE : ~left_apart_point(A39_356_9, L40_356_9)
% 293.42/42.89
% 293.42/42.89 [10342] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [10398] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89 -> [10399] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [10399] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [10398] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89
% 293.42/42.89 [10230] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [10381] ((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))))
% 293.42/42.89
% 293.42/42.89 [10381] 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))))
% 293.42/42.89 -> [10382] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [10383] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89
% 293.42/42.89 [10383] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [10393] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89 -> [10394] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [10394] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [10559] ~(left_apart_point(A39_355_9, L40_355_9) | left_apart_point(A39_355_9, reverse_line(L40_355_9)))
% 293.42/42.89
% 293.42/42.89 [10559] ALPHA_NOT_OR : ~(left_apart_point(A39_355_9, L40_355_9) | left_apart_point(A39_355_9, reverse_line(L40_355_9)))
% 293.42/42.89 -> [10560] ~left_apart_point(A39_355_9, L40_355_9), ~left_apart_point(A39_355_9, reverse_line(L40_355_9))
% 293.42/42.89
% 293.42/42.89 [10560] CLOSURE : ~left_apart_point(A39_355_9, L40_355_9)
% 293.42/42.89
% 293.42/42.89 [10393] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [10577] ~(left_apart_point(A39_358_9, L40_358_9) | left_apart_point(A39_358_9, reverse_line(L40_358_9)))
% 293.42/42.89
% 293.42/42.89 [10577] ALPHA_NOT_OR : ~(left_apart_point(A39_358_9, L40_358_9) | left_apart_point(A39_358_9, reverse_line(L40_358_9)))
% 293.42/42.89 -> [10579] ~left_apart_point(A39_358_9, L40_358_9), ~left_apart_point(A39_358_9, reverse_line(L40_358_9))
% 293.42/42.89
% 293.42/42.89 [10579] CLOSURE : ~left_apart_point(A39_358_9, L40_358_9)
% 293.42/42.89
% 293.42/42.89 [10382] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [10443] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89 -> [10444] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [10444] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [10443] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89
% 293.42/42.89 [10214] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [10218] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89 -> [10219] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [10218] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [10219] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [10406] ((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))))
% 293.42/42.89
% 293.42/42.89 [10406] 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))))
% 293.42/42.89 -> [10409] ~(unequally_directed_lines(skolem_N7979, M38_186_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_186_8)))
% 293.42/42.89 -> [10410] (left_convergent_lines(skolem_N7979, M38_186_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_186_8)))
% 293.42/42.89
% 293.42/42.89 [10409] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_186_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_186_8)))
% 293.42/42.89 -> [10449] ~unequally_directed_lines(skolem_N7979, M38_186_8)
% 293.42/42.89 -> [10450] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_186_8))
% 293.42/42.89
% 293.42/42.89 [10450] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_186_8))
% 293.42/42.89
% 293.42/42.89 [10449] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_186_8)
% 293.42/42.89
% 293.42/42.89 [10410] BETA_OR : (left_convergent_lines(skolem_N7979, M38_186_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_186_8)))
% 293.42/42.89 -> [10413] left_convergent_lines(skolem_N7979, M38_186_8)
% 293.42/42.89 -> [10414] left_convergent_lines(skolem_N7979, reverse_line(M38_186_8))
% 293.42/42.89
% 293.42/42.89 [10414] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [10573] ~(left_apart_point(A39_357_9, L40_357_9) | left_apart_point(A39_357_9, reverse_line(L40_357_9)))
% 293.42/42.89
% 293.42/42.89 [10573] ALPHA_NOT_OR : ~(left_apart_point(A39_357_9, L40_357_9) | left_apart_point(A39_357_9, reverse_line(L40_357_9)))
% 293.42/42.89 -> [10574] ~left_apart_point(A39_357_9, L40_357_9), ~left_apart_point(A39_357_9, reverse_line(L40_357_9))
% 293.42/42.89
% 293.42/42.89 [10574] CLOSURE : ~left_apart_point(A39_357_9, L40_357_9)
% 293.42/42.89
% 293.42/42.89 [10413] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [10582] ~(left_apart_point(A39_359_9, L40_359_9) | left_apart_point(A39_359_9, reverse_line(L40_359_9)))
% 293.42/42.89
% 293.42/42.89 [10582] ALPHA_NOT_OR : ~(left_apart_point(A39_359_9, L40_359_9) | left_apart_point(A39_359_9, reverse_line(L40_359_9)))
% 293.42/42.89 -> [10583] ~left_apart_point(A39_359_9, L40_359_9), ~left_apart_point(A39_359_9, reverse_line(L40_359_9))
% 293.42/42.89
% 293.42/42.89 [10583] CLOSURE : ~left_apart_point(A39_359_9, L40_359_9)
% 293.42/42.89
% 293.42/42.89 [869] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.89 -> [3538] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.89
% 293.42/42.89 [3538] 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))))
% 293.42/42.89 -> [3676] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.89
% 293.42/42.89 [3676] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.89 -> [3677] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.89 -> [3678] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.89
% 293.42/42.89 [3677] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.89
% 293.42/42.89 [3678] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.89 -> [4892] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.89 -> [4893] distinct_points(skolem_C8282, skolem_B8181)
% 293.42/42.89
% 293.42/42.89 [4892] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.89
% 293.42/42.89 [4893] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.89 -> [5104] ~distinct_lines(N27_160_3, N27_160_3)
% 293.42/42.89
% 293.42/42.89 [5104] 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))))
% 293.42/42.89 -> [5656] (distinct_lines(N27_160_3, N27_160_3) => (distinct_lines(N27_160_3, N27_160_3) | distinct_lines(N27_160_3, N27_160_3)))
% 293.42/42.89
% 293.42/42.89 [5656] BETA_IMPLY : (distinct_lines(N27_160_3, N27_160_3) => (distinct_lines(N27_160_3, N27_160_3) | distinct_lines(N27_160_3, N27_160_3)))
% 293.42/42.89 -> [5658] ~distinct_lines(N27_160_3, N27_160_3)
% 293.42/42.89 -> [5659] (distinct_lines(N27_160_3, N27_160_3) | distinct_lines(N27_160_3, N27_160_3))
% 293.42/42.89
% 293.42/42.89 [5659] BETA_OR : (distinct_lines(N27_160_3, N27_160_3) | distinct_lines(N27_160_3, N27_160_3))
% 293.42/42.89 -> [5662] distinct_lines(N27_160_3, N27_160_3)
% 293.42/42.89 -> [5663] distinct_lines(N27_160_3, N27_160_3)
% 293.42/42.89
% 293.42/42.89 [5663] CLOSURE : distinct_lines(N27_160_3, N27_160_3)
% 293.42/42.89
% 293.42/42.89 [5662] CLOSURE : distinct_lines(N27_160_3, N27_160_3)
% 293.42/42.89
% 293.42/42.89 [5658] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.89 -> [5726] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [5726] 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))))
% 293.42/42.89 -> [5858] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878)))
% 293.42/42.89
% 293.42/42.89 [5858] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878)))
% 293.42/42.89 -> [5861] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.42/42.89 -> [5862] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [5861] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 293.42/42.89
% 293.42/42.89 [5862] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878))
% 293.42/42.89 -> [9278] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89 -> [9279] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [9278] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [9279] 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))))))
% 293.42/42.89 -> [17492] ((unequally_directed_lines(skolem_L7777, skolem_L7777) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777))) => ((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_L7777, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))))
% 293.42/42.89
% 293.42/42.89 [17492] 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_B8181, skolem_C8282)) & unequally_directed_lines(skolem_L7777, reverse_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))))))
% 293.42/42.89 -> [17495] ~(unequally_directed_lines(skolem_L7777, skolem_L7777) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777)))
% 293.42/42.89 -> [17496] ((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_L7777, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))))
% 293.42/42.89
% 293.42/42.89 [17496] 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_L7777, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))))
% 293.42/42.89 -> [17502] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 293.42/42.89 -> [17503] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 293.42/42.89
% 293.42/42.89 [17502] 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))))
% 293.42/42.89 -> [17562] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)), unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.42/42.89
% 293.42/42.89 [17562] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.42/42.89
% 293.42/42.89 [17505] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.42/42.89
% 293.42/42.89 [17495] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_L7777) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777)))
% 293.42/42.89 -> [23538] ~unequally_directed_lines(skolem_L7777, skolem_L7777)
% 293.42/42.89 -> [23539] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777))
% 293.42/42.89
% 293.42/42.89 [23538] 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)))))
% 293.42/42.89 -> [23856] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.89
% 293.42/42.89 [23856] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.89 -> [24956] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.89 -> [24957] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.89
% 293.42/42.89 [24957] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [24960] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89 -> [24961] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [24960] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [24961] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [25831] ((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))))
% 293.42/42.89
% 293.42/42.89 [25831] 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))))
% 293.42/42.89 -> [25834] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [25835] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89
% 293.42/42.89 [25835] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [25840] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89 -> [25841] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [25840] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [26087] ~(left_apart_point(A39_2285_9, L40_2285_9) | left_apart_point(A39_2285_9, reverse_line(L40_2285_9)))
% 293.42/42.89
% 293.42/42.89 [26087] ALPHA_NOT_OR : ~(left_apart_point(A39_2285_9, L40_2285_9) | left_apart_point(A39_2285_9, reverse_line(L40_2285_9)))
% 293.42/42.89 -> [26092] ~left_apart_point(A39_2285_9, L40_2285_9), ~left_apart_point(A39_2285_9, reverse_line(L40_2285_9))
% 293.42/42.89
% 293.42/42.89 [26092] CLOSURE : ~left_apart_point(A39_2285_9, L40_2285_9)
% 293.42/42.89
% 293.42/42.89 [25841] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [26111] ~(left_apart_point(A39_2289_9, L40_2289_9) | left_apart_point(A39_2289_9, reverse_line(L40_2289_9)))
% 293.42/42.89
% 293.42/42.89 [26111] ALPHA_NOT_OR : ~(left_apart_point(A39_2289_9, L40_2289_9) | left_apart_point(A39_2289_9, reverse_line(L40_2289_9)))
% 293.42/42.89 -> [26112] ~left_apart_point(A39_2289_9, L40_2289_9), ~left_apart_point(A39_2289_9, reverse_line(L40_2289_9))
% 293.42/42.89
% 293.42/42.89 [26112] CLOSURE : ~left_apart_point(A39_2289_9, L40_2289_9)
% 293.42/42.89
% 293.42/42.89 [25834] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [25853] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89 -> [25854] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [25853] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89
% 293.42/42.89 [25854] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [24956] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.89 -> [24979] ~line(skolem_M7878)
% 293.42/42.89 -> [24980] ~line(skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [24980] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [25670] ((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))))
% 293.42/42.89
% 293.42/42.89 [25670] 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))))
% 293.42/42.89 -> [25673] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [25674] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89
% 293.42/42.89 [25674] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [25676] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89 -> [25677] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [25676] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [25728] ~(left_apart_point(A39_2224_9, L40_2224_9) | left_apart_point(A39_2224_9, reverse_line(L40_2224_9)))
% 293.42/42.89
% 293.42/42.89 [25728] ALPHA_NOT_OR : ~(left_apart_point(A39_2224_9, L40_2224_9) | left_apart_point(A39_2224_9, reverse_line(L40_2224_9)))
% 293.42/42.89 -> [25729] ~left_apart_point(A39_2224_9, L40_2224_9), ~left_apart_point(A39_2224_9, reverse_line(L40_2224_9))
% 293.42/42.89
% 293.42/42.89 [25729] CLOSURE : ~left_apart_point(A39_2224_9, L40_2224_9)
% 293.42/42.89
% 293.42/42.89 [25677] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [25732] ~(left_apart_point(A39_2226_9, L40_2226_9) | left_apart_point(A39_2226_9, reverse_line(L40_2226_9)))
% 293.42/42.89
% 293.42/42.89 [25732] ALPHA_NOT_OR : ~(left_apart_point(A39_2226_9, L40_2226_9) | left_apart_point(A39_2226_9, reverse_line(L40_2226_9)))
% 293.42/42.89 -> [25733] ~left_apart_point(A39_2226_9, L40_2226_9), ~left_apart_point(A39_2226_9, reverse_line(L40_2226_9))
% 293.42/42.89
% 293.42/42.89 [25733] CLOSURE : ~left_apart_point(A39_2226_9, L40_2226_9)
% 293.42/42.89
% 293.42/42.89 [25673] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [25685] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89 -> [25686] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [25686] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [25685] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89
% 293.42/42.89 [24979] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [26211] ((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))))
% 293.42/42.89
% 293.42/42.89 [26211] 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))))
% 293.42/42.89 -> [26214] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [26215] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89
% 293.42/42.89 [26215] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [26217] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89 -> [26218] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [26218] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [26251] ~(left_apart_point(A39_2312_9, L40_2312_9) | left_apart_point(A39_2312_9, reverse_line(L40_2312_9)))
% 293.42/42.89
% 293.42/42.89 [26251] ALPHA_NOT_OR : ~(left_apart_point(A39_2312_9, L40_2312_9) | left_apart_point(A39_2312_9, reverse_line(L40_2312_9)))
% 293.42/42.89 -> [26252] ~left_apart_point(A39_2312_9, L40_2312_9), ~left_apart_point(A39_2312_9, reverse_line(L40_2312_9))
% 293.42/42.89
% 293.42/42.89 [26252] CLOSURE : ~left_apart_point(A39_2312_9, L40_2312_9)
% 293.42/42.89
% 293.42/42.89 [26217] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [26271] ~(left_apart_point(A39_2316_9, L40_2316_9) | left_apart_point(A39_2316_9, reverse_line(L40_2316_9)))
% 293.42/42.89
% 293.42/42.89 [26271] ALPHA_NOT_OR : ~(left_apart_point(A39_2316_9, L40_2316_9) | left_apart_point(A39_2316_9, reverse_line(L40_2316_9)))
% 293.42/42.89 -> [26273] ~left_apart_point(A39_2316_9, L40_2316_9), ~left_apart_point(A39_2316_9, reverse_line(L40_2316_9))
% 293.42/42.89
% 293.42/42.89 [26273] CLOSURE : ~left_apart_point(A39_2316_9, L40_2316_9)
% 293.42/42.89
% 293.42/42.89 [26214] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [26223] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89 -> [26224] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [26224] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [26223] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89
% 293.42/42.89 [23539] 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)))))
% 293.42/42.89 -> [25019] ((line(skolem_L7777) & line(skolem_L7777)) => (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777))))
% 293.42/42.89
% 293.42/42.89 [25019] BETA_IMPLY : ((line(skolem_L7777) & line(skolem_L7777)) => (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777))))
% 293.42/42.89 -> [25021] ~(line(skolem_L7777) & line(skolem_L7777))
% 293.42/42.89 -> [25022] (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777)))
% 293.42/42.89
% 293.42/42.89 [25021] BETA_NOT_AND : ~(line(skolem_L7777) & line(skolem_L7777))
% 293.42/42.89 -> [25850] ~line(skolem_L7777)
% 293.42/42.89 -> [25851] ~line(skolem_L7777)
% 293.42/42.89
% 293.42/42.89 [25850] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [25910] ((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))))
% 293.42/42.89
% 293.42/42.89 [25910] 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))))
% 293.42/42.89 -> [25915] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [25916] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89
% 293.42/42.89 [25916] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [25921] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89 -> [25922] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [25922] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [25958] ~(left_apart_point(A39_2260_9, L40_2260_9) | left_apart_point(A39_2260_9, reverse_line(L40_2260_9)))
% 293.42/42.89
% 293.42/42.89 [25958] ALPHA_NOT_OR : ~(left_apart_point(A39_2260_9, L40_2260_9) | left_apart_point(A39_2260_9, reverse_line(L40_2260_9)))
% 293.42/42.89 -> [25959] ~left_apart_point(A39_2260_9, L40_2260_9), ~left_apart_point(A39_2260_9, reverse_line(L40_2260_9))
% 293.42/42.89
% 293.42/42.89 [25959] CLOSURE : ~left_apart_point(A39_2260_9, L40_2260_9)
% 293.42/42.89
% 293.42/42.89 [25921] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [25964] ~(left_apart_point(A39_2263_9, L40_2263_9) | left_apart_point(A39_2263_9, reverse_line(L40_2263_9)))
% 293.42/42.89
% 293.42/42.89 [25964] ALPHA_NOT_OR : ~(left_apart_point(A39_2263_9, L40_2263_9) | left_apart_point(A39_2263_9, reverse_line(L40_2263_9)))
% 293.42/42.89 -> [25968] ~left_apart_point(A39_2263_9, L40_2263_9), ~left_apart_point(A39_2263_9, reverse_line(L40_2263_9))
% 293.42/42.89
% 293.42/42.89 [25968] CLOSURE : ~left_apart_point(A39_2263_9, L40_2263_9)
% 293.42/42.89
% 293.42/42.89 [25915] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [25938] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89 -> [25939] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [25939] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [25938] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89
% 293.42/42.89 [25851] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [25901] ((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))))
% 293.42/42.89
% 293.42/42.89 [25901] 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))))
% 293.42/42.89 -> [25903] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [25904] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89
% 293.42/42.89 [25904] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [25907] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89 -> [25908] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [25908] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [25951] ~(left_apart_point(A39_2257_9, L40_2257_9) | left_apart_point(A39_2257_9, reverse_line(L40_2257_9)))
% 293.42/42.89
% 293.42/42.89 [25951] ALPHA_NOT_OR : ~(left_apart_point(A39_2257_9, L40_2257_9) | left_apart_point(A39_2257_9, reverse_line(L40_2257_9)))
% 293.42/42.89 -> [25954] ~left_apart_point(A39_2257_9, L40_2257_9), ~left_apart_point(A39_2257_9, reverse_line(L40_2257_9))
% 293.42/42.89
% 293.42/42.89 [25954] CLOSURE : ~left_apart_point(A39_2257_9, L40_2257_9)
% 293.42/42.89
% 293.42/42.89 [25907] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [25962] ~(left_apart_point(A39_2262_9, L40_2262_9) | left_apart_point(A39_2262_9, reverse_line(L40_2262_9)))
% 293.42/42.89
% 293.42/42.89 [25962] ALPHA_NOT_OR : ~(left_apart_point(A39_2262_9, L40_2262_9) | left_apart_point(A39_2262_9, reverse_line(L40_2262_9)))
% 293.42/42.89 -> [25963] ~left_apart_point(A39_2262_9, L40_2262_9), ~left_apart_point(A39_2262_9, reverse_line(L40_2262_9))
% 293.42/42.89
% 293.42/42.89 [25963] CLOSURE : ~left_apart_point(A39_2262_9, L40_2262_9)
% 293.42/42.89
% 293.42/42.89 [25903] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [25928] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89 -> [25929] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [25929] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [25928] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89
% 293.42/42.89 [25022] BETA_OR : (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777)))
% 293.42/42.89 -> [25026] unequally_directed_lines(skolem_L7777, skolem_L7777)
% 293.42/42.89 -> [25027] unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777))
% 293.42/42.89
% 293.42/42.89 [25027] CLOSURE : unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777))
% 293.42/42.89
% 293.42/42.89 [25026] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [26171] ((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))))
% 293.42/42.89
% 293.42/42.89 [26171] 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))))
% 293.42/42.89 -> [26173] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [26174] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89
% 293.42/42.89 [26173] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [26182] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89 -> [26183] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [26183] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [26182] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89
% 293.42/42.89 [26174] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [26177] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89 -> [26178] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [26178] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [26461] ~(left_apart_point(A39_2338_9, L40_2338_9) | left_apart_point(A39_2338_9, reverse_line(L40_2338_9)))
% 293.42/42.89
% 293.42/42.89 [26461] ALPHA_NOT_OR : ~(left_apart_point(A39_2338_9, L40_2338_9) | left_apart_point(A39_2338_9, reverse_line(L40_2338_9)))
% 293.42/42.89 -> [26462] ~left_apart_point(A39_2338_9, L40_2338_9), ~left_apart_point(A39_2338_9, reverse_line(L40_2338_9))
% 293.42/42.89
% 293.42/42.89 [26462] CLOSURE : ~left_apart_point(A39_2338_9, L40_2338_9)
% 293.42/42.89
% 293.42/42.89 [26177] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [26516] ~(left_apart_point(A39_2351_9, L40_2351_9) | left_apart_point(A39_2351_9, reverse_line(L40_2351_9)))
% 293.42/42.89
% 293.42/42.89 [26516] ALPHA_NOT_OR : ~(left_apart_point(A39_2351_9, L40_2351_9) | left_apart_point(A39_2351_9, reverse_line(L40_2351_9)))
% 293.42/42.89 -> [26519] ~left_apart_point(A39_2351_9, L40_2351_9), ~left_apart_point(A39_2351_9, reverse_line(L40_2351_9))
% 293.42/42.89
% 293.42/42.89 [26519] CLOSURE : ~left_apart_point(A39_2351_9, L40_2351_9)
% 293.42/42.89
% 293.42/42.89 [189] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.42/42.89 -> [216] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.89 -> [217] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.89
% 293.42/42.89 [217] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.89 -> [227] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.89
% 293.42/42.89 [227] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.89 -> [235] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.42/42.89 -> [236] ~~(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)))
% 293.42/42.89
% 293.42/42.89 [235] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.89 -> [268] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.42/42.89 -> [269] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [268] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.42/42.89 -> [407] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 293.42/42.89 -> [408] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.89
% 293.42/42.89 [407] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.89 -> [767] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.89
% 293.42/42.89 [767] 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))))
% 293.42/42.89 -> [1314] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.89
% 293.42/42.89 [1314] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.89 -> [1316] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.89 -> [1317] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.89
% 293.42/42.89 [1316] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.89
% 293.42/42.89 [1317] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.89 -> [3394] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.89 -> [3395] distinct_points(skolem_C8282, skolem_B8181)
% 293.42/42.89
% 293.42/42.89 [3394] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.89
% 293.42/42.89 [3395] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.89 -> [5643] ~distinct_lines(N27_171_3, N27_171_3)
% 293.42/42.89
% 293.42/42.89 [5643] 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))))
% 293.42/42.89 -> [5879] (distinct_lines(N27_171_3, N27_171_3) => (distinct_lines(N27_171_3, N27_171_3) | distinct_lines(N27_171_3, N27_171_3)))
% 293.42/42.89
% 293.42/42.89 [5879] BETA_IMPLY : (distinct_lines(N27_171_3, N27_171_3) => (distinct_lines(N27_171_3, N27_171_3) | distinct_lines(N27_171_3, N27_171_3)))
% 293.42/42.89 -> [5880] ~distinct_lines(N27_171_3, N27_171_3)
% 293.42/42.89 -> [5881] (distinct_lines(N27_171_3, N27_171_3) | distinct_lines(N27_171_3, N27_171_3))
% 293.42/42.89
% 293.42/42.89 [5881] BETA_OR : (distinct_lines(N27_171_3, N27_171_3) | distinct_lines(N27_171_3, N27_171_3))
% 293.42/42.89 -> [5884] distinct_lines(N27_171_3, N27_171_3)
% 293.42/42.89 -> [5885] distinct_lines(N27_171_3, N27_171_3)
% 293.42/42.89
% 293.42/42.89 [5884] CLOSURE : distinct_lines(N27_171_3, N27_171_3)
% 293.42/42.89
% 293.42/42.89 [5885] CLOSURE : distinct_lines(N27_171_3, N27_171_3)
% 293.42/42.89
% 293.42/42.89 [5880] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.89 -> [6167] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [6167] 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))))
% 293.42/42.89 -> [6458] (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)))
% 293.42/42.89
% 293.42/42.89 [6458] 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)))
% 293.42/42.89 -> [6460] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89 -> [6461] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [6460] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [6461] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.89 -> [8961] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89 -> [8962] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [8961] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [8962] 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))))))
% 293.42/42.89 -> [12830] ((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)))))
% 293.42/42.89
% 293.42/42.89 [12830] 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)))))
% 293.42/42.89 -> [12834] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [12835] ((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))))
% 293.42/42.89
% 293.42/42.89 [12834] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [12854] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89 -> [12855] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [12855] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [12854] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89
% 293.42/42.89 [12835] 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))))
% 293.42/42.89 -> [18245] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [18246] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.89
% 293.42/42.89 [18245] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [18253] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [18253] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [18246] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [18248] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [18248] 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)))))
% 293.42/42.89 -> [18259] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.89
% 293.42/42.89 [18259] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.89 -> [18261] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.89 -> [18262] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.89
% 293.42/42.89 [18261] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.89 -> [18269] ~line(skolem_M7878)
% 293.42/42.89 -> [18270] ~line(skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [18269] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [18318] ((unequally_directed_lines(skolem_N7979, M38_635_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_635_8))) => (left_convergent_lines(skolem_N7979, M38_635_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_635_8))))
% 293.42/42.89
% 293.42/42.89 [18318] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_635_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_635_8))) => (left_convergent_lines(skolem_N7979, M38_635_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_635_8))))
% 293.42/42.89 -> [18320] ~(unequally_directed_lines(skolem_N7979, M38_635_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_635_8)))
% 293.42/42.89 -> [18321] (left_convergent_lines(skolem_N7979, M38_635_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_635_8)))
% 293.42/42.89
% 293.42/42.89 [18321] BETA_OR : (left_convergent_lines(skolem_N7979, M38_635_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_635_8)))
% 293.42/42.89 -> [18324] left_convergent_lines(skolem_N7979, M38_635_8)
% 293.42/42.89 -> [18325] left_convergent_lines(skolem_N7979, reverse_line(M38_635_8))
% 293.42/42.89
% 293.42/42.89 [18325] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [18395] ~(left_apart_point(A39_1218_9, L40_1218_9) | left_apart_point(A39_1218_9, reverse_line(L40_1218_9)))
% 293.42/42.89
% 293.42/42.89 [18395] ALPHA_NOT_OR : ~(left_apart_point(A39_1218_9, L40_1218_9) | left_apart_point(A39_1218_9, reverse_line(L40_1218_9)))
% 293.42/42.89 -> [18398] ~left_apart_point(A39_1218_9, L40_1218_9), ~left_apart_point(A39_1218_9, reverse_line(L40_1218_9))
% 293.42/42.89
% 293.42/42.89 [18398] CLOSURE : ~left_apart_point(A39_1218_9, L40_1218_9)
% 293.42/42.89
% 293.42/42.89 [18324] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [18415] ~(left_apart_point(A39_1222_9, L40_1222_9) | left_apart_point(A39_1222_9, reverse_line(L40_1222_9)))
% 293.42/42.89
% 293.42/42.89 [18415] ALPHA_NOT_OR : ~(left_apart_point(A39_1222_9, L40_1222_9) | left_apart_point(A39_1222_9, reverse_line(L40_1222_9)))
% 293.42/42.89 -> [18418] ~left_apart_point(A39_1222_9, L40_1222_9), ~left_apart_point(A39_1222_9, reverse_line(L40_1222_9))
% 293.42/42.89
% 293.42/42.89 [18418] CLOSURE : ~left_apart_point(A39_1222_9, L40_1222_9)
% 293.42/42.89
% 293.42/42.89 [18320] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_635_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_635_8)))
% 293.42/42.89 -> [18352] ~unequally_directed_lines(skolem_N7979, M38_635_8)
% 293.42/42.89 -> [18353] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_635_8))
% 293.42/42.89
% 293.42/42.89 [18353] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_635_8))
% 293.42/42.89
% 293.42/42.89 [18352] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_635_8)
% 293.42/42.89
% 293.42/42.89 [18270] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [18288] ((unequally_directed_lines(skolem_N7979, M38_633_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_633_8))) => (left_convergent_lines(skolem_N7979, M38_633_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_633_8))))
% 293.42/42.89
% 293.42/42.89 [18288] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_633_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_633_8))) => (left_convergent_lines(skolem_N7979, M38_633_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_633_8))))
% 293.42/42.89 -> [18291] ~(unequally_directed_lines(skolem_N7979, M38_633_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_633_8)))
% 293.42/42.89 -> [18292] (left_convergent_lines(skolem_N7979, M38_633_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_633_8)))
% 293.42/42.89
% 293.42/42.89 [18292] BETA_OR : (left_convergent_lines(skolem_N7979, M38_633_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_633_8)))
% 293.42/42.89 -> [18299] left_convergent_lines(skolem_N7979, M38_633_8)
% 293.42/42.89 -> [18300] left_convergent_lines(skolem_N7979, reverse_line(M38_633_8))
% 293.42/42.89
% 293.42/42.89 [18300] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [18379] ~(left_apart_point(A39_1216_9, L40_1216_9) | left_apart_point(A39_1216_9, reverse_line(L40_1216_9)))
% 293.42/42.89
% 293.42/42.89 [18379] ALPHA_NOT_OR : ~(left_apart_point(A39_1216_9, L40_1216_9) | left_apart_point(A39_1216_9, reverse_line(L40_1216_9)))
% 293.42/42.89 -> [18380] ~left_apart_point(A39_1216_9, L40_1216_9), ~left_apart_point(A39_1216_9, reverse_line(L40_1216_9))
% 293.42/42.89
% 293.42/42.89 [18380] CLOSURE : ~left_apart_point(A39_1216_9, L40_1216_9)
% 293.42/42.89
% 293.42/42.89 [18299] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [18403] ~(left_apart_point(A39_1220_9, L40_1220_9) | left_apart_point(A39_1220_9, reverse_line(L40_1220_9)))
% 293.42/42.89
% 293.42/42.89 [18403] ALPHA_NOT_OR : ~(left_apart_point(A39_1220_9, L40_1220_9) | left_apart_point(A39_1220_9, reverse_line(L40_1220_9)))
% 293.42/42.89 -> [18406] ~left_apart_point(A39_1220_9, L40_1220_9), ~left_apart_point(A39_1220_9, reverse_line(L40_1220_9))
% 293.42/42.89
% 293.42/42.89 [18406] CLOSURE : ~left_apart_point(A39_1220_9, L40_1220_9)
% 293.42/42.89
% 293.42/42.89 [18291] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_633_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_633_8)))
% 293.42/42.89 -> [18333] ~unequally_directed_lines(skolem_N7979, M38_633_8)
% 293.42/42.89 -> [18334] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_633_8))
% 293.42/42.89
% 293.42/42.89 [18333] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_633_8)
% 293.42/42.89
% 293.42/42.89 [18334] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_633_8))
% 293.42/42.89
% 293.42/42.89 [18262] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [18265] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89 -> [18266] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [18265] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [18266] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [18302] ((unequally_directed_lines(skolem_N7979, M38_634_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_634_8))) => (left_convergent_lines(skolem_N7979, M38_634_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_634_8))))
% 293.42/42.89
% 293.42/42.89 [18302] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_634_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_634_8))) => (left_convergent_lines(skolem_N7979, M38_634_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_634_8))))
% 293.42/42.89 -> [18308] ~(unequally_directed_lines(skolem_N7979, M38_634_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_634_8)))
% 293.42/42.89 -> [18309] (left_convergent_lines(skolem_N7979, M38_634_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_634_8)))
% 293.42/42.89
% 293.42/42.89 [18309] BETA_OR : (left_convergent_lines(skolem_N7979, M38_634_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_634_8)))
% 293.42/42.89 -> [18311] left_convergent_lines(skolem_N7979, M38_634_8)
% 293.42/42.89 -> [18312] left_convergent_lines(skolem_N7979, reverse_line(M38_634_8))
% 293.42/42.89
% 293.42/42.89 [18311] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [18408] ~(left_apart_point(A39_1221_9, L40_1221_9) | left_apart_point(A39_1221_9, reverse_line(L40_1221_9)))
% 293.42/42.89
% 293.42/42.89 [18408] ALPHA_NOT_OR : ~(left_apart_point(A39_1221_9, L40_1221_9) | left_apart_point(A39_1221_9, reverse_line(L40_1221_9)))
% 293.42/42.89 -> [18409] ~left_apart_point(A39_1221_9, L40_1221_9), ~left_apart_point(A39_1221_9, reverse_line(L40_1221_9))
% 293.42/42.89
% 293.42/42.89 [18409] CLOSURE : ~left_apart_point(A39_1221_9, L40_1221_9)
% 293.42/42.89
% 293.42/42.89 [18312] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [18423] ~(left_apart_point(A39_1223_9, L40_1223_9) | left_apart_point(A39_1223_9, reverse_line(L40_1223_9)))
% 293.42/42.89
% 293.42/42.89 [18423] ALPHA_NOT_OR : ~(left_apart_point(A39_1223_9, L40_1223_9) | left_apart_point(A39_1223_9, reverse_line(L40_1223_9)))
% 293.42/42.89 -> [18424] ~left_apart_point(A39_1223_9, L40_1223_9), ~left_apart_point(A39_1223_9, reverse_line(L40_1223_9))
% 293.42/42.89
% 293.42/42.89 [18424] CLOSURE : ~left_apart_point(A39_1223_9, L40_1223_9)
% 293.42/42.89
% 293.42/42.89 [18308] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_634_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_634_8)))
% 293.42/42.89 -> [18340] ~unequally_directed_lines(skolem_N7979, M38_634_8)
% 293.42/42.89 -> [18341] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_634_8))
% 293.42/42.89
% 293.42/42.89 [18341] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_634_8))
% 293.42/42.89
% 293.42/42.89 [18340] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_634_8)
% 293.42/42.89
% 293.42/42.89 [408] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.89 -> [410] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.89
% 293.42/42.89 [410] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.89 -> [510] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.42/42.89 -> [511] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [511] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.89 -> [952] ~distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.89
% 293.42/42.89 [952] 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))))
% 293.42/42.89 -> [2919] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.89
% 293.42/42.89 [2919] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.89 -> [2920] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.89 -> [2921] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.89
% 293.42/42.89 [2920] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.89
% 293.42/42.89 [2921] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.89 -> [3191] distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.89 -> [3192] distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.89
% 293.42/42.89 [3192] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.89
% 293.42/42.89 [3191] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.89 -> [3574] ~distinct_lines(N27_64_3, N27_64_3)
% 293.42/42.89
% 293.42/42.89 [3574] 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))))
% 293.42/42.89 -> [3600] (distinct_lines(N27_64_3, N27_64_3) => (distinct_lines(N27_64_3, N27_64_3) | distinct_lines(N27_64_3, N27_64_3)))
% 293.42/42.89
% 293.42/42.89 [3600] 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)))
% 293.42/42.89 -> [3601] ~distinct_lines(N27_64_3, N27_64_3)
% 293.42/42.89 -> [3602] (distinct_lines(N27_64_3, N27_64_3) | distinct_lines(N27_64_3, N27_64_3))
% 293.42/42.89
% 293.42/42.89 [3602] BETA_OR : (distinct_lines(N27_64_3, N27_64_3) | distinct_lines(N27_64_3, N27_64_3))
% 293.42/42.89 -> [3605] distinct_lines(N27_64_3, N27_64_3)
% 293.42/42.89 -> [3606] distinct_lines(N27_64_3, N27_64_3)
% 293.42/42.89
% 293.42/42.89 [3606] CLOSURE : distinct_lines(N27_64_3, N27_64_3)
% 293.42/42.89
% 293.42/42.89 [3605] CLOSURE : distinct_lines(N27_64_3, N27_64_3)
% 293.42/42.89
% 293.42/42.89 [3601] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.89 -> [3664] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [3664] 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))))
% 293.42/42.89 -> [3696] (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)))
% 293.42/42.89
% 293.42/42.89 [3696] 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)))
% 293.42/42.89 -> [3698] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89 -> [3699] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [3698] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [3699] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.89 -> [5801] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89 -> [5802] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [5801] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [5802] 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))))))
% 293.42/42.89 -> [7567] ((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)))))
% 293.42/42.89
% 293.42/42.89 [7567] 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)))))
% 293.42/42.89 -> [7568] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [7569] ((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))))
% 293.42/42.89
% 293.42/42.89 [7568] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [7603] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89 -> [7604] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [7604] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [7603] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89
% 293.42/42.89 [7569] 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))))
% 293.42/42.89 -> [14658] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [14659] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.89
% 293.42/42.89 [14658] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [14697] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [14697] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [14659] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [14662] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [14662] 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)))))
% 293.42/42.89 -> [15130] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.89
% 293.42/42.89 [15130] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.89 -> [15133] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.89 -> [15134] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.89
% 293.42/42.89 [15134] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [15139] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89 -> [15140] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [15139] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [15140] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [15654] ((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))))
% 293.42/42.89
% 293.42/42.89 [15654] 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))))
% 293.42/42.89 -> [15656] ~(unequally_directed_lines(skolem_N7979, M38_465_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_465_8)))
% 293.42/42.89 -> [15657] (left_convergent_lines(skolem_N7979, M38_465_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_465_8)))
% 293.42/42.89
% 293.42/42.89 [15656] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_465_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_465_8)))
% 293.42/42.89 -> [15882] ~unequally_directed_lines(skolem_N7979, M38_465_8)
% 293.42/42.89 -> [15883] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_465_8))
% 293.42/42.89
% 293.42/42.89 [15882] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_465_8)
% 293.42/42.89
% 293.42/42.89 [15883] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_465_8))
% 293.42/42.89
% 293.42/42.89 [15657] BETA_OR : (left_convergent_lines(skolem_N7979, M38_465_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_465_8)))
% 293.42/42.89 -> [15660] left_convergent_lines(skolem_N7979, M38_465_8)
% 293.42/42.89 -> [15661] left_convergent_lines(skolem_N7979, reverse_line(M38_465_8))
% 293.42/42.89
% 293.42/42.89 [15661] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [16310] ~(left_apart_point(A39_945_9, L40_945_9) | left_apart_point(A39_945_9, reverse_line(L40_945_9)))
% 293.42/42.89
% 293.42/42.89 [16310] ALPHA_NOT_OR : ~(left_apart_point(A39_945_9, L40_945_9) | left_apart_point(A39_945_9, reverse_line(L40_945_9)))
% 293.42/42.89 -> [16311] ~left_apart_point(A39_945_9, L40_945_9), ~left_apart_point(A39_945_9, reverse_line(L40_945_9))
% 293.42/42.89
% 293.42/42.89 [16311] CLOSURE : ~left_apart_point(A39_945_9, L40_945_9)
% 293.42/42.89
% 293.42/42.89 [15660] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [16395] ~(left_apart_point(A39_961_9, L40_961_9) | left_apart_point(A39_961_9, reverse_line(L40_961_9)))
% 293.42/42.89
% 293.42/42.89 [16395] ALPHA_NOT_OR : ~(left_apart_point(A39_961_9, L40_961_9) | left_apart_point(A39_961_9, reverse_line(L40_961_9)))
% 293.42/42.89 -> [16396] ~left_apart_point(A39_961_9, L40_961_9), ~left_apart_point(A39_961_9, reverse_line(L40_961_9))
% 293.42/42.89
% 293.42/42.89 [16396] CLOSURE : ~left_apart_point(A39_961_9, L40_961_9)
% 293.42/42.89
% 293.42/42.89 [15133] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.89 -> [15233] ~line(skolem_M7878)
% 293.42/42.89 -> [15234] ~line(skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [15233] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [15867] ((unequally_directed_lines(skolem_N7979, M38_478_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_478_8))) => (left_convergent_lines(skolem_N7979, M38_478_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_478_8))))
% 293.42/42.89
% 293.42/42.89 [15867] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_478_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_478_8))) => (left_convergent_lines(skolem_N7979, M38_478_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_478_8))))
% 293.42/42.89 -> [15868] ~(unequally_directed_lines(skolem_N7979, M38_478_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_478_8)))
% 293.42/42.89 -> [15869] (left_convergent_lines(skolem_N7979, M38_478_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_478_8)))
% 293.42/42.89
% 293.42/42.89 [15868] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_478_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_478_8)))
% 293.42/42.89 -> [16010] ~unequally_directed_lines(skolem_N7979, M38_478_8)
% 293.42/42.89 -> [16011] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_478_8))
% 293.42/42.89
% 293.42/42.89 [16010] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_478_8)
% 293.42/42.89
% 293.42/42.89 [16011] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_478_8))
% 293.42/42.89
% 293.42/42.89 [15869] BETA_OR : (left_convergent_lines(skolem_N7979, M38_478_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_478_8)))
% 293.42/42.89 -> [15874] left_convergent_lines(skolem_N7979, M38_478_8)
% 293.42/42.89 -> [15875] left_convergent_lines(skolem_N7979, reverse_line(M38_478_8))
% 293.42/42.89
% 293.42/42.89 [15874] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [16716] ~(left_apart_point(A39_1002_9, L40_1002_9) | left_apart_point(A39_1002_9, reverse_line(L40_1002_9)))
% 293.42/42.89
% 293.42/42.89 [16716] ALPHA_NOT_OR : ~(left_apart_point(A39_1002_9, L40_1002_9) | left_apart_point(A39_1002_9, reverse_line(L40_1002_9)))
% 293.42/42.89 -> [16719] ~left_apart_point(A39_1002_9, L40_1002_9), ~left_apart_point(A39_1002_9, reverse_line(L40_1002_9))
% 293.42/42.89
% 293.42/42.89 [16719] CLOSURE : ~left_apart_point(A39_1002_9, L40_1002_9)
% 293.42/42.89
% 293.42/42.89 [15875] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [16391] ~(left_apart_point(A39_959_9, L40_959_9) | left_apart_point(A39_959_9, reverse_line(L40_959_9)))
% 293.42/42.89
% 293.42/42.89 [16391] ALPHA_NOT_OR : ~(left_apart_point(A39_959_9, L40_959_9) | left_apart_point(A39_959_9, reverse_line(L40_959_9)))
% 293.42/42.89 -> [16392] ~left_apart_point(A39_959_9, L40_959_9), ~left_apart_point(A39_959_9, reverse_line(L40_959_9))
% 293.42/42.89
% 293.42/42.89 [16392] CLOSURE : ~left_apart_point(A39_959_9, L40_959_9)
% 293.42/42.89
% 293.42/42.89 [15234] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [15641] ((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))))
% 293.42/42.89
% 293.42/42.89 [15641] 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))))
% 293.42/42.89 -> [15644] ~(unequally_directed_lines(skolem_N7979, M38_464_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_464_8)))
% 293.42/42.89 -> [15645] (left_convergent_lines(skolem_N7979, M38_464_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_464_8)))
% 293.42/42.89
% 293.42/42.89 [15645] BETA_OR : (left_convergent_lines(skolem_N7979, M38_464_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_464_8)))
% 293.42/42.89 -> [15648] left_convergent_lines(skolem_N7979, M38_464_8)
% 293.42/42.89 -> [15649] left_convergent_lines(skolem_N7979, reverse_line(M38_464_8))
% 293.42/42.89
% 293.42/42.89 [15649] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [16295] ~(left_apart_point(A39_942_9, L40_942_9) | left_apart_point(A39_942_9, reverse_line(L40_942_9)))
% 293.42/42.89
% 293.42/42.89 [16295] ALPHA_NOT_OR : ~(left_apart_point(A39_942_9, L40_942_9) | left_apart_point(A39_942_9, reverse_line(L40_942_9)))
% 293.42/42.89 -> [16296] ~left_apart_point(A39_942_9, L40_942_9), ~left_apart_point(A39_942_9, reverse_line(L40_942_9))
% 293.42/42.89
% 293.42/42.89 [16296] CLOSURE : ~left_apart_point(A39_942_9, L40_942_9)
% 293.42/42.89
% 293.42/42.89 [15648] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [16393] ~(left_apart_point(A39_960_9, L40_960_9) | left_apart_point(A39_960_9, reverse_line(L40_960_9)))
% 293.42/42.89
% 293.42/42.89 [16393] ALPHA_NOT_OR : ~(left_apart_point(A39_960_9, L40_960_9) | left_apart_point(A39_960_9, reverse_line(L40_960_9)))
% 293.42/42.89 -> [16394] ~left_apart_point(A39_960_9, L40_960_9), ~left_apart_point(A39_960_9, reverse_line(L40_960_9))
% 293.42/42.89
% 293.42/42.89 [16394] CLOSURE : ~left_apart_point(A39_960_9, L40_960_9)
% 293.42/42.89
% 293.42/42.89 [15644] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_464_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_464_8)))
% 293.42/42.89 -> [15878] ~unequally_directed_lines(skolem_N7979, M38_464_8)
% 293.42/42.89 -> [15879] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_464_8))
% 293.42/42.89
% 293.42/42.89 [15879] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_464_8))
% 293.42/42.89
% 293.42/42.89 [15878] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_464_8)
% 293.42/42.89
% 293.42/42.89 [510] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.89 -> [1524] ~distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.89
% 293.42/42.89 [1524] 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))))
% 293.42/42.89 -> [1807] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.89
% 293.42/42.89 [1807] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.89 -> [1808] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.89 -> [1809] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.89
% 293.42/42.89 [1808] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.89
% 293.42/42.89 [1809] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.89 -> [2017] distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.89 -> [2018] distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.89
% 293.42/42.89 [2018] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.89
% 293.42/42.89 [2017] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.89 -> [2140] ~distinct_lines(N27_14_3, N27_14_3)
% 293.42/42.89
% 293.42/42.89 [2140] 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))))
% 293.42/42.89 -> [2206] (distinct_lines(N27_14_3, N27_14_3) => (distinct_lines(N27_14_3, N27_14_3) | distinct_lines(N27_14_3, N27_14_3)))
% 293.42/42.89
% 293.42/42.89 [2206] 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)))
% 293.42/42.89 -> [2207] ~distinct_lines(N27_14_3, N27_14_3)
% 293.42/42.89 -> [2208] (distinct_lines(N27_14_3, N27_14_3) | distinct_lines(N27_14_3, N27_14_3))
% 293.42/42.89
% 293.42/42.89 [2208] BETA_OR : (distinct_lines(N27_14_3, N27_14_3) | distinct_lines(N27_14_3, N27_14_3))
% 293.42/42.89 -> [2210] distinct_lines(N27_14_3, N27_14_3)
% 293.42/42.89 -> [2211] distinct_lines(N27_14_3, N27_14_3)
% 293.42/42.89
% 293.42/42.89 [2210] CLOSURE : distinct_lines(N27_14_3, N27_14_3)
% 293.42/42.89
% 293.42/42.89 [2211] CLOSURE : distinct_lines(N27_14_3, N27_14_3)
% 293.42/42.89
% 293.42/42.89 [2207] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.89 -> [2281] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [2281] 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))))
% 293.42/42.89 -> [4665] (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)))
% 293.42/42.89
% 293.42/42.89 [4665] 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)))
% 293.42/42.89 -> [4666] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89 -> [4667] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [4666] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [4667] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.89 -> [7135] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89 -> [7136] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [7135] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [7136] 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))))))
% 293.42/42.89 -> [12969] ((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)))))
% 293.42/42.89
% 293.42/42.89 [12969] 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)))))
% 293.42/42.89 -> [12971] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [12972] ((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))))
% 293.42/42.89
% 293.42/42.89 [12971] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [15519] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89 -> [15520] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [15520] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [15519] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89
% 293.42/42.89 [12972] 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))))
% 293.42/42.89 -> [21887] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [21888] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.89
% 293.42/42.89 [21887] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [21897] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [21897] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [21888] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [21891] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [21891] 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)))))
% 293.42/42.89 -> [22422] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.89
% 293.42/42.89 [22422] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.89 -> [22424] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.89 -> [22425] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.89
% 293.42/42.89 [22425] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [22430] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89 -> [22431] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [22430] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [22431] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [22552] ((unequally_directed_lines(skolem_N7979, M38_901_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_901_8))) => (left_convergent_lines(skolem_N7979, M38_901_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_901_8))))
% 293.42/42.89
% 293.42/42.89 [22552] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_901_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_901_8))) => (left_convergent_lines(skolem_N7979, M38_901_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_901_8))))
% 293.42/42.89 -> [22553] ~(unequally_directed_lines(skolem_N7979, M38_901_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_901_8)))
% 293.42/42.89 -> [22554] (left_convergent_lines(skolem_N7979, M38_901_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_901_8)))
% 293.42/42.89
% 293.42/42.89 [22554] BETA_OR : (left_convergent_lines(skolem_N7979, M38_901_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_901_8)))
% 293.42/42.89 -> [22558] left_convergent_lines(skolem_N7979, M38_901_8)
% 293.42/42.89 -> [22559] left_convergent_lines(skolem_N7979, reverse_line(M38_901_8))
% 293.42/42.89
% 293.42/42.89 [22559] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [22683] ~(left_apart_point(A39_1767_9, L40_1767_9) | left_apart_point(A39_1767_9, reverse_line(L40_1767_9)))
% 293.42/42.89
% 293.42/42.89 [22683] ALPHA_NOT_OR : ~(left_apart_point(A39_1767_9, L40_1767_9) | left_apart_point(A39_1767_9, reverse_line(L40_1767_9)))
% 293.42/42.89 -> [22685] ~left_apart_point(A39_1767_9, L40_1767_9), ~left_apart_point(A39_1767_9, reverse_line(L40_1767_9))
% 293.42/42.89
% 293.42/42.89 [22685] CLOSURE : ~left_apart_point(A39_1767_9, L40_1767_9)
% 293.42/42.89
% 293.42/42.89 [22558] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [22706] ~(left_apart_point(A39_1770_9, L40_1770_9) | left_apart_point(A39_1770_9, reverse_line(L40_1770_9)))
% 293.42/42.89
% 293.42/42.89 [22706] ALPHA_NOT_OR : ~(left_apart_point(A39_1770_9, L40_1770_9) | left_apart_point(A39_1770_9, reverse_line(L40_1770_9)))
% 293.42/42.89 -> [22709] ~left_apart_point(A39_1770_9, L40_1770_9), ~left_apart_point(A39_1770_9, reverse_line(L40_1770_9))
% 293.42/42.89
% 293.42/42.89 [22709] CLOSURE : ~left_apart_point(A39_1770_9, L40_1770_9)
% 293.42/42.89
% 293.42/42.89 [22553] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_901_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_901_8)))
% 293.42/42.89 -> [22570] ~unequally_directed_lines(skolem_N7979, M38_901_8)
% 293.42/42.89 -> [22571] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_901_8))
% 293.42/42.89
% 293.42/42.89 [22571] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_901_8))
% 293.42/42.89
% 293.42/42.89 [22570] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_901_8)
% 293.42/42.89
% 293.42/42.89 [22424] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.89 -> [22449] ~line(skolem_M7878)
% 293.42/42.89 -> [22450] ~line(skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [22450] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [22506] ((unequally_directed_lines(skolem_N7979, M38_900_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_900_8))) => (left_convergent_lines(skolem_N7979, M38_900_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_900_8))))
% 293.42/42.89
% 293.42/42.89 [22506] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_900_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_900_8))) => (left_convergent_lines(skolem_N7979, M38_900_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_900_8))))
% 293.42/42.89 -> [22508] ~(unequally_directed_lines(skolem_N7979, M38_900_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_900_8)))
% 293.42/42.89 -> [22509] (left_convergent_lines(skolem_N7979, M38_900_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_900_8)))
% 293.42/42.89
% 293.42/42.89 [22509] BETA_OR : (left_convergent_lines(skolem_N7979, M38_900_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_900_8)))
% 293.42/42.89 -> [22519] left_convergent_lines(skolem_N7979, M38_900_8)
% 293.42/42.89 -> [22520] left_convergent_lines(skolem_N7979, reverse_line(M38_900_8))
% 293.42/42.89
% 293.42/42.89 [22520] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [22672] ~(left_apart_point(A39_1766_9, L40_1766_9) | left_apart_point(A39_1766_9, reverse_line(L40_1766_9)))
% 293.42/42.89
% 293.42/42.89 [22672] ALPHA_NOT_OR : ~(left_apart_point(A39_1766_9, L40_1766_9) | left_apart_point(A39_1766_9, reverse_line(L40_1766_9)))
% 293.42/42.89 -> [22674] ~left_apart_point(A39_1766_9, L40_1766_9), ~left_apart_point(A39_1766_9, reverse_line(L40_1766_9))
% 293.42/42.89
% 293.42/42.89 [22674] CLOSURE : ~left_apart_point(A39_1766_9, L40_1766_9)
% 293.42/42.89
% 293.42/42.89 [22519] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [22698] ~(left_apart_point(A39_1769_9, L40_1769_9) | left_apart_point(A39_1769_9, reverse_line(L40_1769_9)))
% 293.42/42.89
% 293.42/42.89 [22698] ALPHA_NOT_OR : ~(left_apart_point(A39_1769_9, L40_1769_9) | left_apart_point(A39_1769_9, reverse_line(L40_1769_9)))
% 293.42/42.89 -> [22703] ~left_apart_point(A39_1769_9, L40_1769_9), ~left_apart_point(A39_1769_9, reverse_line(L40_1769_9))
% 293.42/42.89
% 293.42/42.89 [22703] CLOSURE : ~left_apart_point(A39_1769_9, L40_1769_9)
% 293.42/42.89
% 293.42/42.89 [22508] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_900_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_900_8)))
% 293.42/42.89 -> [22862] ~unequally_directed_lines(skolem_N7979, M38_900_8)
% 293.42/42.89 -> [22863] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_900_8))
% 293.42/42.89
% 293.42/42.89 [22863] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_900_8))
% 293.42/42.89
% 293.42/42.89 [22862] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_900_8)
% 293.42/42.89
% 293.42/42.89 [22449] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [22846] ((unequally_directed_lines(skolem_N7979, M38_920_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_920_8))) => (left_convergent_lines(skolem_N7979, M38_920_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_920_8))))
% 293.42/42.89
% 293.42/42.89 [22846] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_920_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_920_8))) => (left_convergent_lines(skolem_N7979, M38_920_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_920_8))))
% 293.42/42.89 -> [22847] ~(unequally_directed_lines(skolem_N7979, M38_920_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_920_8)))
% 293.42/42.89 -> [22848] (left_convergent_lines(skolem_N7979, M38_920_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_920_8)))
% 293.42/42.89
% 293.42/42.89 [22847] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_920_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_920_8)))
% 293.42/42.89 -> [22868] ~unequally_directed_lines(skolem_N7979, M38_920_8)
% 293.42/42.89 -> [22869] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_920_8))
% 293.42/42.89
% 293.42/42.89 [22869] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_920_8))
% 293.42/42.89
% 293.42/42.89 [22868] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_920_8)
% 293.42/42.89
% 293.42/42.89 [22848] BETA_OR : (left_convergent_lines(skolem_N7979, M38_920_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_920_8)))
% 293.42/42.89 -> [22849] left_convergent_lines(skolem_N7979, M38_920_8)
% 293.42/42.89 -> [22850] left_convergent_lines(skolem_N7979, reverse_line(M38_920_8))
% 293.42/42.89
% 293.42/42.89 [22850] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [22946] ~(left_apart_point(A39_1800_9, L40_1800_9) | left_apart_point(A39_1800_9, reverse_line(L40_1800_9)))
% 293.42/42.89
% 293.42/42.89 [22946] ALPHA_NOT_OR : ~(left_apart_point(A39_1800_9, L40_1800_9) | left_apart_point(A39_1800_9, reverse_line(L40_1800_9)))
% 293.42/42.89 -> [22948] ~left_apart_point(A39_1800_9, L40_1800_9), ~left_apart_point(A39_1800_9, reverse_line(L40_1800_9))
% 293.42/42.89
% 293.42/42.89 [22948] CLOSURE : ~left_apart_point(A39_1800_9, L40_1800_9)
% 293.42/42.89
% 293.42/42.89 [22849] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [23031] ~(left_apart_point(A39_1812_9, L40_1812_9) | left_apart_point(A39_1812_9, reverse_line(L40_1812_9)))
% 293.42/42.89
% 293.42/42.89 [23031] ALPHA_NOT_OR : ~(left_apart_point(A39_1812_9, L40_1812_9) | left_apart_point(A39_1812_9, reverse_line(L40_1812_9)))
% 293.42/42.89 -> [23035] ~left_apart_point(A39_1812_9, L40_1812_9), ~left_apart_point(A39_1812_9, reverse_line(L40_1812_9))
% 293.42/42.89
% 293.42/42.89 [23035] CLOSURE : ~left_apart_point(A39_1812_9, L40_1812_9)
% 293.42/42.89
% 293.42/42.89 [269] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.42/42.89 -> [803] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 293.42/42.89 -> [804] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.89
% 293.42/42.89 [803] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.89 -> [1237] ~distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.89
% 293.42/42.89 [1237] 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))))
% 293.42/42.89 -> [1303] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.89
% 293.42/42.89 [1303] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.89 -> [1304] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.89 -> [1305] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.89
% 293.42/42.89 [1304] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.89
% 293.42/42.89 [1305] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.89 -> [5125] distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.89 -> [5126] distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.89
% 293.42/42.89 [5126] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.89
% 293.42/42.89 [5125] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.89 -> [6125] ~distinct_lines(N27_189_3, N27_189_3)
% 293.42/42.89
% 293.42/42.89 [6125] 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))))
% 293.42/42.89 -> [6159] (distinct_lines(N27_189_3, N27_189_3) => (distinct_lines(N27_189_3, N27_189_3) | distinct_lines(N27_189_3, N27_189_3)))
% 293.42/42.89
% 293.42/42.89 [6159] BETA_IMPLY : (distinct_lines(N27_189_3, N27_189_3) => (distinct_lines(N27_189_3, N27_189_3) | distinct_lines(N27_189_3, N27_189_3)))
% 293.42/42.89 -> [6160] ~distinct_lines(N27_189_3, N27_189_3)
% 293.42/42.89 -> [6161] (distinct_lines(N27_189_3, N27_189_3) | distinct_lines(N27_189_3, N27_189_3))
% 293.42/42.89
% 293.42/42.89 [6161] BETA_OR : (distinct_lines(N27_189_3, N27_189_3) | distinct_lines(N27_189_3, N27_189_3))
% 293.42/42.89 -> [6162] distinct_lines(N27_189_3, N27_189_3)
% 293.42/42.89 -> [6163] distinct_lines(N27_189_3, N27_189_3)
% 293.42/42.89
% 293.42/42.89 [6163] CLOSURE : distinct_lines(N27_189_3, N27_189_3)
% 293.42/42.89
% 293.42/42.89 [6162] CLOSURE : distinct_lines(N27_189_3, N27_189_3)
% 293.42/42.89
% 293.42/42.89 [6160] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.89 -> [6194] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [6194] 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))))
% 293.42/42.89 -> [6258] (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)))
% 293.42/42.89
% 293.42/42.89 [6258] 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)))
% 293.42/42.89 -> [6261] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89 -> [6262] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [6261] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [6262] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.89 -> [9473] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89 -> [9474] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [9473] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [9474] 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))))))
% 293.42/42.89 -> [9968] ((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)))))
% 293.42/42.89
% 293.42/42.89 [9968] 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)))))
% 293.42/42.89 -> [9975] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [9976] ((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))))
% 293.42/42.89
% 293.42/42.89 [9975] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [10028] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89 -> [10029] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [10029] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [10028] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89
% 293.42/42.89 [9976] 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))))
% 293.42/42.89 -> [18141] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [18142] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.89
% 293.42/42.89 [18141] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [18186] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [18186] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [18142] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [18145] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [18145] 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)))))
% 293.42/42.89 -> [19389] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.89
% 293.42/42.89 [19389] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.89 -> [19390] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.89 -> [19391] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.89
% 293.42/42.89 [19391] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [19394] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89 -> [19395] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [19394] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [19395] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [19689] ((unequally_directed_lines(skolem_N7979, M38_723_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_723_8))) => (left_convergent_lines(skolem_N7979, M38_723_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_723_8))))
% 293.42/42.89
% 293.42/42.89 [19689] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_723_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_723_8))) => (left_convergent_lines(skolem_N7979, M38_723_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_723_8))))
% 293.42/42.89 -> [19692] ~(unequally_directed_lines(skolem_N7979, M38_723_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_723_8)))
% 293.42/42.89 -> [19693] (left_convergent_lines(skolem_N7979, M38_723_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_723_8)))
% 293.42/42.89
% 293.42/42.89 [19693] BETA_OR : (left_convergent_lines(skolem_N7979, M38_723_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_723_8)))
% 293.42/42.89 -> [19700] left_convergent_lines(skolem_N7979, M38_723_8)
% 293.42/42.89 -> [19701] left_convergent_lines(skolem_N7979, reverse_line(M38_723_8))
% 293.42/42.89
% 293.42/42.89 [19700] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [20076] ~(left_apart_point(A39_1431_9, L40_1431_9) | left_apart_point(A39_1431_9, reverse_line(L40_1431_9)))
% 293.42/42.89
% 293.42/42.89 [20076] ALPHA_NOT_OR : ~(left_apart_point(A39_1431_9, L40_1431_9) | left_apart_point(A39_1431_9, reverse_line(L40_1431_9)))
% 293.42/42.89 -> [20077] ~left_apart_point(A39_1431_9, L40_1431_9), ~left_apart_point(A39_1431_9, reverse_line(L40_1431_9))
% 293.42/42.89
% 293.42/42.89 [20077] CLOSURE : ~left_apart_point(A39_1431_9, L40_1431_9)
% 293.42/42.89
% 293.42/42.89 [19701] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [20078] ~(left_apart_point(A39_1432_9, L40_1432_9) | left_apart_point(A39_1432_9, reverse_line(L40_1432_9)))
% 293.42/42.89
% 293.42/42.89 [20078] ALPHA_NOT_OR : ~(left_apart_point(A39_1432_9, L40_1432_9) | left_apart_point(A39_1432_9, reverse_line(L40_1432_9)))
% 293.42/42.89 -> [20080] ~left_apart_point(A39_1432_9, L40_1432_9), ~left_apart_point(A39_1432_9, reverse_line(L40_1432_9))
% 293.42/42.89
% 293.42/42.89 [20080] CLOSURE : ~left_apart_point(A39_1432_9, L40_1432_9)
% 293.42/42.89
% 293.42/42.89 [19692] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_723_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_723_8)))
% 293.42/42.89 -> [20025] ~unequally_directed_lines(skolem_N7979, M38_723_8)
% 293.42/42.89 -> [20026] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_723_8))
% 293.42/42.89
% 293.42/42.89 [20026] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_723_8))
% 293.42/42.89
% 293.42/42.89 [20025] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_723_8)
% 293.42/42.89
% 293.42/42.89 [19390] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.89 -> [19449] ~line(skolem_M7878)
% 293.42/42.89 -> [19450] ~line(skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [19449] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [19748] ((unequally_directed_lines(skolem_N7979, M38_727_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_727_8))) => (left_convergent_lines(skolem_N7979, M38_727_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_727_8))))
% 293.42/42.89
% 293.42/42.89 [19748] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_727_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_727_8))) => (left_convergent_lines(skolem_N7979, M38_727_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_727_8))))
% 293.42/42.89 -> [19750] ~(unequally_directed_lines(skolem_N7979, M38_727_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_727_8)))
% 293.42/42.89 -> [19751] (left_convergent_lines(skolem_N7979, M38_727_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_727_8)))
% 293.42/42.89
% 293.42/42.89 [19750] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_727_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_727_8)))
% 293.42/42.89 -> [20362] ~unequally_directed_lines(skolem_N7979, M38_727_8)
% 293.42/42.89 -> [20363] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_727_8))
% 293.42/42.89
% 293.42/42.89 [20363] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_727_8))
% 293.42/42.89
% 293.42/42.89 [20362] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_727_8)
% 293.42/42.89
% 293.42/42.89 [19751] BETA_OR : (left_convergent_lines(skolem_N7979, M38_727_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_727_8)))
% 293.42/42.89 -> [19755] left_convergent_lines(skolem_N7979, M38_727_8)
% 293.42/42.89 -> [19756] left_convergent_lines(skolem_N7979, reverse_line(M38_727_8))
% 293.42/42.89
% 293.42/42.89 [19756] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [20487] ~(left_apart_point(A39_1490_9, L40_1490_9) | left_apart_point(A39_1490_9, reverse_line(L40_1490_9)))
% 293.42/42.89
% 293.42/42.89 [20487] ALPHA_NOT_OR : ~(left_apart_point(A39_1490_9, L40_1490_9) | left_apart_point(A39_1490_9, reverse_line(L40_1490_9)))
% 293.42/42.89 -> [20489] ~left_apart_point(A39_1490_9, L40_1490_9), ~left_apart_point(A39_1490_9, reverse_line(L40_1490_9))
% 293.42/42.89
% 293.42/42.89 [20489] CLOSURE : ~left_apart_point(A39_1490_9, L40_1490_9)
% 293.42/42.89
% 293.42/42.89 [19755] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [20586] ~(left_apart_point(A39_1502_9, L40_1502_9) | left_apart_point(A39_1502_9, reverse_line(L40_1502_9)))
% 293.42/42.89
% 293.42/42.89 [20586] ALPHA_NOT_OR : ~(left_apart_point(A39_1502_9, L40_1502_9) | left_apart_point(A39_1502_9, reverse_line(L40_1502_9)))
% 293.42/42.89 -> [20587] ~left_apart_point(A39_1502_9, L40_1502_9), ~left_apart_point(A39_1502_9, reverse_line(L40_1502_9))
% 293.42/42.89
% 293.42/42.89 [20587] CLOSURE : ~left_apart_point(A39_1502_9, L40_1502_9)
% 293.42/42.89
% 293.42/42.89 [19450] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [19675] ((unequally_directed_lines(skolem_N7979, M38_721_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_721_8))) => (left_convergent_lines(skolem_N7979, M38_721_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_721_8))))
% 293.42/42.89
% 293.42/42.89 [19675] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_721_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_721_8))) => (left_convergent_lines(skolem_N7979, M38_721_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_721_8))))
% 293.42/42.89 -> [19677] ~(unequally_directed_lines(skolem_N7979, M38_721_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_721_8)))
% 293.42/42.89 -> [19678] (left_convergent_lines(skolem_N7979, M38_721_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_721_8)))
% 293.42/42.89
% 293.42/42.89 [19677] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_721_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_721_8)))
% 293.42/42.89 -> [19763] ~unequally_directed_lines(skolem_N7979, M38_721_8)
% 293.42/42.89 -> [19764] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_721_8))
% 293.42/42.89
% 293.42/42.89 [19763] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_721_8)
% 293.42/42.89
% 293.42/42.89 [19764] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_721_8))
% 293.42/42.89
% 293.42/42.89 [19678] BETA_OR : (left_convergent_lines(skolem_N7979, M38_721_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_721_8)))
% 293.42/42.89 -> [19680] left_convergent_lines(skolem_N7979, M38_721_8)
% 293.42/42.89 -> [19681] left_convergent_lines(skolem_N7979, reverse_line(M38_721_8))
% 293.42/42.89
% 293.42/42.89 [19681] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [20499] ~(left_apart_point(A39_1493_9, L40_1493_9) | left_apart_point(A39_1493_9, reverse_line(L40_1493_9)))
% 293.42/42.89
% 293.42/42.89 [20499] ALPHA_NOT_OR : ~(left_apart_point(A39_1493_9, L40_1493_9) | left_apart_point(A39_1493_9, reverse_line(L40_1493_9)))
% 293.42/42.89 -> [20501] ~left_apart_point(A39_1493_9, L40_1493_9), ~left_apart_point(A39_1493_9, reverse_line(L40_1493_9))
% 293.42/42.89
% 293.42/42.89 [20501] CLOSURE : ~left_apart_point(A39_1493_9, L40_1493_9)
% 293.42/42.89
% 293.42/42.89 [19680] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [20836] ~(left_apart_point(A39_1523_9, L40_1523_9) | left_apart_point(A39_1523_9, reverse_line(L40_1523_9)))
% 293.42/42.89
% 293.42/42.89 [20836] ALPHA_NOT_OR : ~(left_apart_point(A39_1523_9, L40_1523_9) | left_apart_point(A39_1523_9, reverse_line(L40_1523_9)))
% 293.42/42.89 -> [20839] ~left_apart_point(A39_1523_9, L40_1523_9), ~left_apart_point(A39_1523_9, reverse_line(L40_1523_9))
% 293.42/42.89
% 293.42/42.89 [20839] CLOSURE : ~left_apart_point(A39_1523_9, L40_1523_9)
% 293.42/42.89
% 293.42/42.89 [804] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.89 -> [926] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.89
% 293.42/42.89 [926] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.89 -> [927] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.42/42.89 -> [928] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [928] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.89 -> [966] ~distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.89
% 293.42/42.89 [966] 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))))
% 293.42/42.89 -> [1020] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.89
% 293.42/42.89 [1020] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.89 -> [1023] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.89 -> [1024] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.89
% 293.42/42.89 [1023] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.89
% 293.42/42.89 [1024] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.89 -> [4813] distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.89 -> [4814] distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.89
% 293.42/42.89 [4814] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.89
% 293.42/42.89 [4813] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.89 -> [6025] ~distinct_lines(N27_197_3, N27_197_3)
% 293.42/42.89
% 293.42/42.89 [6025] 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))))
% 293.42/42.89 -> [6276] (distinct_lines(N27_197_3, N27_197_3) => (distinct_lines(N27_197_3, N27_197_3) | distinct_lines(N27_197_3, N27_197_3)))
% 293.42/42.89
% 293.42/42.89 [6276] BETA_IMPLY : (distinct_lines(N27_197_3, N27_197_3) => (distinct_lines(N27_197_3, N27_197_3) | distinct_lines(N27_197_3, N27_197_3)))
% 293.42/42.89 -> [6277] ~distinct_lines(N27_197_3, N27_197_3)
% 293.42/42.89 -> [6278] (distinct_lines(N27_197_3, N27_197_3) | distinct_lines(N27_197_3, N27_197_3))
% 293.42/42.89
% 293.42/42.89 [6278] BETA_OR : (distinct_lines(N27_197_3, N27_197_3) | distinct_lines(N27_197_3, N27_197_3))
% 293.42/42.89 -> [6279] distinct_lines(N27_197_3, N27_197_3)
% 293.42/42.89 -> [6280] distinct_lines(N27_197_3, N27_197_3)
% 293.42/42.89
% 293.42/42.89 [6279] CLOSURE : distinct_lines(N27_197_3, N27_197_3)
% 293.42/42.89
% 293.42/42.89 [6280] CLOSURE : distinct_lines(N27_197_3, N27_197_3)
% 293.42/42.89
% 293.42/42.89 [6277] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.89 -> [6622] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [6622] 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))))
% 293.42/42.89 -> [7297] (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))))
% 293.42/42.89
% 293.42/42.89 [7297] 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))))
% 293.42/42.89 -> [7299] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89 -> [7300] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.89
% 293.42/42.89 [7299] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [7300] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.89 -> [13132] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89 -> [13133] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [13133] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [13132] 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))))))
% 293.42/42.89 -> [13486] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_198_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_198_6))) | (unequally_directed_lines(skolem_N7979, N34_198_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_198_6)))))
% 293.42/42.89
% 293.42/42.89 [13486] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_198_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_198_6))) | (unequally_directed_lines(skolem_N7979, N34_198_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_198_6)))))
% 293.42/42.89 -> [13495] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [13496] ((unequally_directed_lines(skolem_M7878, N34_198_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_198_6))) | (unequally_directed_lines(skolem_N7979, N34_198_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_198_6))))
% 293.42/42.89
% 293.42/42.89 [13495] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [13520] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89 -> [13521] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [13520] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89
% 293.42/42.89 [13521] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [13496] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_198_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_198_6))) | (unequally_directed_lines(skolem_N7979, N34_198_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_198_6))))
% 293.42/42.89 -> [17009] (unequally_directed_lines(skolem_M7878, N34_198_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_198_6)))
% 293.42/42.89 -> [17010] (unequally_directed_lines(skolem_N7979, N34_198_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_198_6)))
% 293.42/42.89
% 293.42/42.89 [17010] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_198_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_198_6)))
% 293.42/42.89 -> [17017] unequally_directed_lines(skolem_N7979, N34_198_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_198_6))
% 293.42/42.89
% 293.42/42.89 [17017] 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)))))
% 293.42/42.89 -> [17121] ((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))))
% 293.42/42.89
% 293.42/42.89 [17121] 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))))
% 293.42/42.89 -> [17124] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.89 -> [17125] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.89
% 293.42/42.89 [17124] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.89 -> [17167] ~line(reverse_line(skolem_N7979))
% 293.42/42.89 -> [17168] ~line(skolem_N7979)
% 293.42/42.89
% 293.42/42.89 [17168] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [17278] ((unequally_directed_lines(skolem_N7979, M38_573_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_573_8))) => (left_convergent_lines(skolem_N7979, M38_573_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_573_8))))
% 293.42/42.89
% 293.42/42.89 [17278] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_573_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_573_8))) => (left_convergent_lines(skolem_N7979, M38_573_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_573_8))))
% 293.42/42.89 -> [17279] ~(unequally_directed_lines(skolem_N7979, M38_573_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_573_8)))
% 293.42/42.89 -> [17280] (left_convergent_lines(skolem_N7979, M38_573_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_573_8)))
% 293.42/42.89
% 293.42/42.89 [17280] BETA_OR : (left_convergent_lines(skolem_N7979, M38_573_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_573_8)))
% 293.42/42.89 -> [17286] left_convergent_lines(skolem_N7979, M38_573_8)
% 293.42/42.89 -> [17287] left_convergent_lines(skolem_N7979, reverse_line(M38_573_8))
% 293.42/42.89
% 293.42/42.89 [17287] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [17432] ~(left_apart_point(A39_1092_9, L40_1092_9) | left_apart_point(A39_1092_9, reverse_line(L40_1092_9)))
% 293.42/42.89
% 293.42/42.89 [17432] ALPHA_NOT_OR : ~(left_apart_point(A39_1092_9, L40_1092_9) | left_apart_point(A39_1092_9, reverse_line(L40_1092_9)))
% 293.42/42.89 -> [17435] ~left_apart_point(A39_1092_9, L40_1092_9), ~left_apart_point(A39_1092_9, reverse_line(L40_1092_9))
% 293.42/42.89
% 293.42/42.89 [17435] CLOSURE : ~left_apart_point(A39_1092_9, L40_1092_9)
% 293.42/42.89
% 293.42/42.89 [17286] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [17469] ~(left_apart_point(A39_1096_9, L40_1096_9) | left_apart_point(A39_1096_9, reverse_line(L40_1096_9)))
% 293.42/42.89
% 293.42/42.89 [17469] ALPHA_NOT_OR : ~(left_apart_point(A39_1096_9, L40_1096_9) | left_apart_point(A39_1096_9, reverse_line(L40_1096_9)))
% 293.42/42.89 -> [17471] ~left_apart_point(A39_1096_9, L40_1096_9), ~left_apart_point(A39_1096_9, reverse_line(L40_1096_9))
% 293.42/42.89
% 293.42/42.89 [17471] CLOSURE : ~left_apart_point(A39_1096_9, L40_1096_9)
% 293.42/42.89
% 293.42/42.89 [17279] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_573_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_573_8)))
% 293.42/42.89 -> [17342] ~unequally_directed_lines(skolem_N7979, M38_573_8)
% 293.42/42.89 -> [17343] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_573_8))
% 293.42/42.89
% 293.42/42.89 [17343] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_573_8))
% 293.42/42.89
% 293.42/42.89 [17342] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_573_8)
% 293.42/42.89
% 293.42/42.89 [17167] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [17266] ((unequally_directed_lines(skolem_N7979, M38_572_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_572_8))) => (left_convergent_lines(skolem_N7979, M38_572_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_572_8))))
% 293.42/42.89
% 293.42/42.89 [17266] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_572_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_572_8))) => (left_convergent_lines(skolem_N7979, M38_572_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_572_8))))
% 293.42/42.89 -> [17268] ~(unequally_directed_lines(skolem_N7979, M38_572_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_572_8)))
% 293.42/42.89 -> [17269] (left_convergent_lines(skolem_N7979, M38_572_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_572_8)))
% 293.42/42.89
% 293.42/42.89 [17269] BETA_OR : (left_convergent_lines(skolem_N7979, M38_572_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_572_8)))
% 293.42/42.89 -> [17272] left_convergent_lines(skolem_N7979, M38_572_8)
% 293.42/42.89 -> [17273] left_convergent_lines(skolem_N7979, reverse_line(M38_572_8))
% 293.42/42.89
% 293.42/42.89 [17273] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [17424] ~(left_apart_point(A39_1089_9, L40_1089_9) | left_apart_point(A39_1089_9, reverse_line(L40_1089_9)))
% 293.42/42.89
% 293.42/42.89 [17424] ALPHA_NOT_OR : ~(left_apart_point(A39_1089_9, L40_1089_9) | left_apart_point(A39_1089_9, reverse_line(L40_1089_9)))
% 293.42/42.89 -> [17426] ~left_apart_point(A39_1089_9, L40_1089_9), ~left_apart_point(A39_1089_9, reverse_line(L40_1089_9))
% 293.42/42.89
% 293.42/42.89 [17426] CLOSURE : ~left_apart_point(A39_1089_9, L40_1089_9)
% 293.42/42.89
% 293.42/42.89 [17272] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [17456] ~(left_apart_point(A39_1093_9, L40_1093_9) | left_apart_point(A39_1093_9, reverse_line(L40_1093_9)))
% 293.42/42.89
% 293.42/42.89 [17456] ALPHA_NOT_OR : ~(left_apart_point(A39_1093_9, L40_1093_9) | left_apart_point(A39_1093_9, reverse_line(L40_1093_9)))
% 293.42/42.89 -> [17457] ~left_apart_point(A39_1093_9, L40_1093_9), ~left_apart_point(A39_1093_9, reverse_line(L40_1093_9))
% 293.42/42.89
% 293.42/42.89 [17457] CLOSURE : ~left_apart_point(A39_1093_9, L40_1093_9)
% 293.42/42.89
% 293.42/42.89 [17268] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_572_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_572_8)))
% 293.42/42.89 -> [17328] ~unequally_directed_lines(skolem_N7979, M38_572_8)
% 293.42/42.89 -> [17329] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_572_8))
% 293.42/42.89
% 293.42/42.89 [17329] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_572_8))
% 293.42/42.89
% 293.42/42.89 [17328] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_572_8)
% 293.42/42.89
% 293.42/42.89 [17125] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.89 -> [17131] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 293.42/42.89 -> [17132] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [17132] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [17131] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [22639] ((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))))
% 293.42/42.89
% 293.42/42.89 [22639] 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))))
% 293.42/42.89 -> [22640] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [22641] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89
% 293.42/42.89 [22641] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [22642] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89 -> [22643] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [22642] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [22718] ~(left_apart_point(A39_1772_9, L40_1772_9) | left_apart_point(A39_1772_9, reverse_line(L40_1772_9)))
% 293.42/42.89
% 293.42/42.89 [22718] ALPHA_NOT_OR : ~(left_apart_point(A39_1772_9, L40_1772_9) | left_apart_point(A39_1772_9, reverse_line(L40_1772_9)))
% 293.42/42.89 -> [22721] ~left_apart_point(A39_1772_9, L40_1772_9), ~left_apart_point(A39_1772_9, reverse_line(L40_1772_9))
% 293.42/42.89
% 293.42/42.89 [22721] CLOSURE : ~left_apart_point(A39_1772_9, L40_1772_9)
% 293.42/42.89
% 293.42/42.89 [22643] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [22729] ~(left_apart_point(A39_1775_9, L40_1775_9) | left_apart_point(A39_1775_9, reverse_line(L40_1775_9)))
% 293.42/42.89
% 293.42/42.89 [22729] ALPHA_NOT_OR : ~(left_apart_point(A39_1775_9, L40_1775_9) | left_apart_point(A39_1775_9, reverse_line(L40_1775_9)))
% 293.42/42.89 -> [22732] ~left_apart_point(A39_1775_9, L40_1775_9), ~left_apart_point(A39_1775_9, reverse_line(L40_1775_9))
% 293.42/42.89
% 293.42/42.89 [22732] CLOSURE : ~left_apart_point(A39_1775_9, L40_1775_9)
% 293.42/42.89
% 293.42/42.89 [22640] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [22666] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89 -> [22667] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [22667] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [22666] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89
% 293.42/42.89 [17009] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_198_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_198_6)))
% 293.42/42.89 -> [17056] unequally_directed_lines(skolem_M7878, N34_198_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_198_6))
% 293.42/42.89
% 293.42/42.89 [17056] 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)))))
% 293.42/42.89 -> [17148] ((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)))))
% 293.42/42.89
% 293.42/42.89 [17148] 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)))))
% 293.42/42.89 -> [17149] ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.89 -> [17150] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 293.42/42.89
% 293.42/42.89 [17149] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.89 -> [17181] ~line(reverse_line(skolem_N7979))
% 293.42/42.89 -> [17182] ~line(reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [17182] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [17247] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.89
% 293.42/42.89 [17247] 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))))
% 293.42/42.89 -> [17248] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [17249] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.89
% 293.42/42.89 [17248] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [17318] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.89 -> [17319] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [17318] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [17319] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [17249] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [17253] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.89 -> [17254] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [17254] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [17399] ~(left_apart_point(A39_1086_9, L40_1086_9) | left_apart_point(A39_1086_9, reverse_line(L40_1086_9)))
% 293.42/42.89
% 293.42/42.89 [17399] ALPHA_NOT_OR : ~(left_apart_point(A39_1086_9, L40_1086_9) | left_apart_point(A39_1086_9, reverse_line(L40_1086_9)))
% 293.42/42.89 -> [17408] ~left_apart_point(A39_1086_9, L40_1086_9), ~left_apart_point(A39_1086_9, reverse_line(L40_1086_9))
% 293.42/42.89
% 293.42/42.89 [17408] CLOSURE : ~left_apart_point(A39_1086_9, L40_1086_9)
% 293.42/42.89
% 293.42/42.89 [17253] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [17539] ~(left_apart_point(A39_1111_9, L40_1111_9) | left_apart_point(A39_1111_9, reverse_line(L40_1111_9)))
% 293.42/42.89
% 293.42/42.89 [17539] ALPHA_NOT_OR : ~(left_apart_point(A39_1111_9, L40_1111_9) | left_apart_point(A39_1111_9, reverse_line(L40_1111_9)))
% 293.42/42.89 -> [17542] ~left_apart_point(A39_1111_9, L40_1111_9), ~left_apart_point(A39_1111_9, reverse_line(L40_1111_9))
% 293.42/42.89
% 293.42/42.89 [17542] CLOSURE : ~left_apart_point(A39_1111_9, L40_1111_9)
% 293.42/42.89
% 293.42/42.89 [17181] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [17301] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.89
% 293.42/42.89 [17301] 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))))
% 293.42/42.89 -> [17308] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [17309] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.89
% 293.42/42.89 [17309] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [17312] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.89 -> [17313] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [17312] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [17488] ~(left_apart_point(A39_1099_9, L40_1099_9) | left_apart_point(A39_1099_9, reverse_line(L40_1099_9)))
% 293.42/42.89
% 293.42/42.89 [17488] ALPHA_NOT_OR : ~(left_apart_point(A39_1099_9, L40_1099_9) | left_apart_point(A39_1099_9, reverse_line(L40_1099_9)))
% 293.42/42.89 -> [17491] ~left_apart_point(A39_1099_9, L40_1099_9), ~left_apart_point(A39_1099_9, reverse_line(L40_1099_9))
% 293.42/42.89
% 293.42/42.89 [17491] CLOSURE : ~left_apart_point(A39_1099_9, L40_1099_9)
% 293.42/42.89
% 293.42/42.89 [17313] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [17497] ~(left_apart_point(A39_1102_9, L40_1102_9) | left_apart_point(A39_1102_9, reverse_line(L40_1102_9)))
% 293.42/42.89
% 293.42/42.89 [17497] ALPHA_NOT_OR : ~(left_apart_point(A39_1102_9, L40_1102_9) | left_apart_point(A39_1102_9, reverse_line(L40_1102_9)))
% 293.42/42.89 -> [17499] ~left_apart_point(A39_1102_9, L40_1102_9), ~left_apart_point(A39_1102_9, reverse_line(L40_1102_9))
% 293.42/42.89
% 293.42/42.89 [17499] CLOSURE : ~left_apart_point(A39_1102_9, L40_1102_9)
% 293.42/42.89
% 293.42/42.89 [17308] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [17351] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.89 -> [17352] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [17352] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [17351] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [17150] 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))))
% 293.42/42.89 -> [17157] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.89 -> [17158] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 293.42/42.89
% 293.42/42.89 [17157] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [17158] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [22536] ((unequally_directed_lines(skolem_M7878, M38_903_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_903_8))) => (left_convergent_lines(skolem_M7878, M38_903_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_903_8))))
% 293.42/42.89
% 293.42/42.89 [22536] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_903_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_903_8))) => (left_convergent_lines(skolem_M7878, M38_903_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_903_8))))
% 293.42/42.89 -> [22537] ~(unequally_directed_lines(skolem_M7878, M38_903_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_903_8)))
% 293.42/42.89 -> [22538] (left_convergent_lines(skolem_M7878, M38_903_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_903_8)))
% 293.42/42.89
% 293.42/42.89 [22537] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_903_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_903_8)))
% 293.42/42.89 -> [22561] ~unequally_directed_lines(skolem_M7878, M38_903_8)
% 293.42/42.89 -> [22562] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_903_8))
% 293.42/42.89
% 293.42/42.89 [22562] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_903_8))
% 293.42/42.89
% 293.42/42.89 [22561] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_903_8)
% 293.42/42.89
% 293.42/42.89 [22538] BETA_OR : (left_convergent_lines(skolem_M7878, M38_903_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_903_8)))
% 293.42/42.89 -> [22541] left_convergent_lines(skolem_M7878, M38_903_8)
% 293.42/42.89 -> [22542] left_convergent_lines(skolem_M7878, reverse_line(M38_903_8))
% 293.42/42.89
% 293.42/42.89 [22542] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [22644] ~(left_apart_point(A39_1765_9, L40_1765_9) | left_apart_point(A39_1765_9, reverse_line(L40_1765_9)))
% 293.42/42.89
% 293.42/42.89 [22644] ALPHA_NOT_OR : ~(left_apart_point(A39_1765_9, L40_1765_9) | left_apart_point(A39_1765_9, reverse_line(L40_1765_9)))
% 293.42/42.89 -> [22646] ~left_apart_point(A39_1765_9, L40_1765_9), ~left_apart_point(A39_1765_9, reverse_line(L40_1765_9))
% 293.42/42.89
% 293.42/42.89 [22646] CLOSURE : ~left_apart_point(A39_1765_9, L40_1765_9)
% 293.42/42.89
% 293.42/42.89 [22541] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [22746] ~(left_apart_point(A39_1776_9, L40_1776_9) | left_apart_point(A39_1776_9, reverse_line(L40_1776_9)))
% 293.42/42.89
% 293.42/42.89 [22746] ALPHA_NOT_OR : ~(left_apart_point(A39_1776_9, L40_1776_9) | left_apart_point(A39_1776_9, reverse_line(L40_1776_9)))
% 293.42/42.89 -> [22748] ~left_apart_point(A39_1776_9, L40_1776_9), ~left_apart_point(A39_1776_9, reverse_line(L40_1776_9))
% 293.42/42.89
% 293.42/42.89 [22748] CLOSURE : ~left_apart_point(A39_1776_9, L40_1776_9)
% 293.42/42.89
% 293.42/42.89 [927] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.89 -> [986] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.89
% 293.42/42.89 [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))))
% 293.42/42.89 -> [1447] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.89
% 293.42/42.89 [1447] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.89 -> [1450] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.89 -> [1451] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.89
% 293.42/42.89 [1450] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.89
% 293.42/42.89 [1451] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.89 -> [5378] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.89 -> [5379] distinct_points(skolem_C8282, skolem_B8181)
% 293.42/42.89
% 293.42/42.89 [5378] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.89
% 293.42/42.89 [5379] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.89 -> [7268] ~distinct_lines(N27_239_3, N27_239_3)
% 293.42/42.89
% 293.42/42.89 [7268] 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))))
% 293.42/42.89 -> [7357] (distinct_lines(N27_239_3, N27_239_3) => (distinct_lines(N27_239_3, N27_239_3) | distinct_lines(N27_239_3, N27_239_3)))
% 293.42/42.89
% 293.42/42.89 [7357] BETA_IMPLY : (distinct_lines(N27_239_3, N27_239_3) => (distinct_lines(N27_239_3, N27_239_3) | distinct_lines(N27_239_3, N27_239_3)))
% 293.42/42.89 -> [7359] ~distinct_lines(N27_239_3, N27_239_3)
% 293.42/42.89 -> [7360] (distinct_lines(N27_239_3, N27_239_3) | distinct_lines(N27_239_3, N27_239_3))
% 293.42/42.89
% 293.42/42.89 [7360] BETA_OR : (distinct_lines(N27_239_3, N27_239_3) | distinct_lines(N27_239_3, N27_239_3))
% 293.42/42.89 -> [7363] distinct_lines(N27_239_3, N27_239_3)
% 293.42/42.89 -> [7364] distinct_lines(N27_239_3, N27_239_3)
% 293.42/42.89
% 293.42/42.89 [7363] CLOSURE : distinct_lines(N27_239_3, N27_239_3)
% 293.42/42.89
% 293.42/42.89 [7364] CLOSURE : distinct_lines(N27_239_3, N27_239_3)
% 293.42/42.89
% 293.42/42.89 [7359] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.89 -> [7399] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [7399] 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))))
% 293.42/42.89 -> [7631] (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))))
% 293.42/42.89
% 293.42/42.89 [7631] 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))))
% 293.42/42.89 -> [7633] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89 -> [7634] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.89
% 293.42/42.89 [7633] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [7634] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.89 -> [11966] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89 -> [11967] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [11967] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [11966] 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))))))
% 293.42/42.89 -> [14846] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_207_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_207_6))) | (unequally_directed_lines(skolem_N7979, N34_207_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_207_6)))))
% 293.42/42.89
% 293.42/42.89 [14846] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_207_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_207_6))) | (unequally_directed_lines(skolem_N7979, N34_207_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_207_6)))))
% 293.42/42.89 -> [14850] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [14851] ((unequally_directed_lines(skolem_M7878, N34_207_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_207_6))) | (unequally_directed_lines(skolem_N7979, N34_207_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_207_6))))
% 293.42/42.89
% 293.42/42.89 [14850] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [14868] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89 -> [14869] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [14869] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [14868] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89
% 293.42/42.89 [14851] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_207_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_207_6))) | (unequally_directed_lines(skolem_N7979, N34_207_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_207_6))))
% 293.42/42.89 -> [15030] (unequally_directed_lines(skolem_M7878, N34_207_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_207_6)))
% 293.42/42.89 -> [15031] (unequally_directed_lines(skolem_N7979, N34_207_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_207_6)))
% 293.42/42.89
% 293.42/42.89 [15030] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_207_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_207_6)))
% 293.42/42.89 -> [15035] unequally_directed_lines(skolem_M7878, N34_207_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_207_6))
% 293.42/42.89
% 293.42/42.89 [15035] 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)))))
% 293.42/42.89 -> [15202] ((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))))
% 293.42/42.89
% 293.42/42.89 [15202] 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))))
% 293.42/42.89 -> [15205] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.89 -> [15206] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.89
% 293.42/42.89 [15205] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.89 -> [15217] ~line(reverse_line(skolem_N7979))
% 293.42/42.89 -> [15218] ~line(skolem_N7979)
% 293.42/42.89
% 293.42/42.89 [15218] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [15257] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.89
% 293.42/42.89 [15257] 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))))
% 293.42/42.89 -> [15258] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [15259] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.89
% 293.42/42.89 [15258] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [15284] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.89 -> [15285] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [15285] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [15284] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [15259] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [15265] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.89 -> [15266] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [15266] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [15303] ~(left_apart_point(A39_861_9, L40_861_9) | left_apart_point(A39_861_9, reverse_line(L40_861_9)))
% 293.42/42.89
% 293.42/42.89 [15303] ALPHA_NOT_OR : ~(left_apart_point(A39_861_9, L40_861_9) | left_apart_point(A39_861_9, reverse_line(L40_861_9)))
% 293.42/42.89 -> [15304] ~left_apart_point(A39_861_9, L40_861_9), ~left_apart_point(A39_861_9, reverse_line(L40_861_9))
% 293.42/42.89
% 293.42/42.89 [15304] CLOSURE : ~left_apart_point(A39_861_9, L40_861_9)
% 293.42/42.89
% 293.42/42.89 [15265] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [15323] ~(left_apart_point(A39_865_9, L40_865_9) | left_apart_point(A39_865_9, reverse_line(L40_865_9)))
% 293.42/42.89
% 293.42/42.89 [15323] ALPHA_NOT_OR : ~(left_apart_point(A39_865_9, L40_865_9) | left_apart_point(A39_865_9, reverse_line(L40_865_9)))
% 293.42/42.89 -> [15324] ~left_apart_point(A39_865_9, L40_865_9), ~left_apart_point(A39_865_9, reverse_line(L40_865_9))
% 293.42/42.89
% 293.42/42.89 [15324] CLOSURE : ~left_apart_point(A39_865_9, L40_865_9)
% 293.42/42.89
% 293.42/42.89 [15217] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [15272] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.89
% 293.42/42.89 [15272] 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))))
% 293.42/42.89 -> [15273] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [15274] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.89
% 293.42/42.89 [15273] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [15294] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.89 -> [15295] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [15295] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [15294] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [15274] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [15276] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.89 -> [15277] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [15277] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [15315] ~(left_apart_point(A39_864_9, L40_864_9) | left_apart_point(A39_864_9, reverse_line(L40_864_9)))
% 293.42/42.89
% 293.42/42.89 [15315] ALPHA_NOT_OR : ~(left_apart_point(A39_864_9, L40_864_9) | left_apart_point(A39_864_9, reverse_line(L40_864_9)))
% 293.42/42.89 -> [15320] ~left_apart_point(A39_864_9, L40_864_9), ~left_apart_point(A39_864_9, reverse_line(L40_864_9))
% 293.42/42.89
% 293.42/42.89 [15320] CLOSURE : ~left_apart_point(A39_864_9, L40_864_9)
% 293.42/42.89
% 293.42/42.89 [15276] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [15325] ~(left_apart_point(A39_866_9, L40_866_9) | left_apart_point(A39_866_9, reverse_line(L40_866_9)))
% 293.42/42.89
% 293.42/42.89 [15325] ALPHA_NOT_OR : ~(left_apart_point(A39_866_9, L40_866_9) | left_apart_point(A39_866_9, reverse_line(L40_866_9)))
% 293.42/42.89 -> [15327] ~left_apart_point(A39_866_9, L40_866_9), ~left_apart_point(A39_866_9, reverse_line(L40_866_9))
% 293.42/42.89
% 293.42/42.89 [15327] CLOSURE : ~left_apart_point(A39_866_9, L40_866_9)
% 293.42/42.89
% 293.42/42.89 [15206] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.89 -> [15209] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 293.42/42.89 -> [15210] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [15210] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [15209] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [20045] ((unequally_directed_lines(skolem_M7878, M38_745_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_745_8))) => (left_convergent_lines(skolem_M7878, M38_745_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_745_8))))
% 293.42/42.89
% 293.42/42.89 [20045] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_745_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_745_8))) => (left_convergent_lines(skolem_M7878, M38_745_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_745_8))))
% 293.42/42.89 -> [20046] ~(unequally_directed_lines(skolem_M7878, M38_745_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_745_8)))
% 293.42/42.89 -> [20047] (left_convergent_lines(skolem_M7878, M38_745_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_745_8)))
% 293.42/42.89
% 293.42/42.89 [20046] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_745_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_745_8)))
% 293.42/42.89 -> [20074] ~unequally_directed_lines(skolem_M7878, M38_745_8)
% 293.42/42.89 -> [20075] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_745_8))
% 293.42/42.89
% 293.42/42.89 [20075] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_745_8))
% 293.42/42.89
% 293.42/42.89 [20074] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_745_8)
% 293.42/42.89
% 293.42/42.89 [20047] BETA_OR : (left_convergent_lines(skolem_M7878, M38_745_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_745_8)))
% 293.42/42.89 -> [20050] left_convergent_lines(skolem_M7878, M38_745_8)
% 293.42/42.89 -> [20051] left_convergent_lines(skolem_M7878, reverse_line(M38_745_8))
% 293.42/42.89
% 293.42/42.89 [20051] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [20193] ~(left_apart_point(A39_1442_9, L40_1442_9) | left_apart_point(A39_1442_9, reverse_line(L40_1442_9)))
% 293.42/42.89
% 293.42/42.89 [20193] ALPHA_NOT_OR : ~(left_apart_point(A39_1442_9, L40_1442_9) | left_apart_point(A39_1442_9, reverse_line(L40_1442_9)))
% 293.42/42.89 -> [20196] ~left_apart_point(A39_1442_9, L40_1442_9), ~left_apart_point(A39_1442_9, reverse_line(L40_1442_9))
% 293.42/42.89
% 293.42/42.89 [20196] CLOSURE : ~left_apart_point(A39_1442_9, L40_1442_9)
% 293.42/42.89
% 293.42/42.89 [20050] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [20227] ~(left_apart_point(A39_1443_9, L40_1443_9) | left_apart_point(A39_1443_9, reverse_line(L40_1443_9)))
% 293.42/42.89
% 293.42/42.89 [20227] ALPHA_NOT_OR : ~(left_apart_point(A39_1443_9, L40_1443_9) | left_apart_point(A39_1443_9, reverse_line(L40_1443_9)))
% 293.42/42.89 -> [20229] ~left_apart_point(A39_1443_9, L40_1443_9), ~left_apart_point(A39_1443_9, reverse_line(L40_1443_9))
% 293.42/42.89
% 293.42/42.89 [20229] CLOSURE : ~left_apart_point(A39_1443_9, L40_1443_9)
% 293.42/42.89
% 293.42/42.89 [15031] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_207_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_207_6)))
% 293.42/42.89 -> [15034] unequally_directed_lines(skolem_N7979, N34_207_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_207_6))
% 293.42/42.89
% 293.42/42.89 [15034] 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)))))
% 293.42/42.89 -> [15067] ((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))))
% 293.42/42.89
% 293.42/42.89 [15067] 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))))
% 293.42/42.89 -> [15068] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.89 -> [15069] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.89
% 293.42/42.89 [15068] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.89 -> [15075] ~line(reverse_line(skolem_N7979))
% 293.42/42.89 -> [15076] ~line(skolem_N7979)
% 293.42/42.89
% 293.42/42.89 [15076] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [16680] ((unequally_directed_lines(skolem_N7979, M38_531_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_531_8))) => (left_convergent_lines(skolem_N7979, M38_531_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_531_8))))
% 293.42/42.89
% 293.42/42.89 [16680] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_531_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_531_8))) => (left_convergent_lines(skolem_N7979, M38_531_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_531_8))))
% 293.42/42.89 -> [16681] ~(unequally_directed_lines(skolem_N7979, M38_531_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_531_8)))
% 293.42/42.89 -> [16682] (left_convergent_lines(skolem_N7979, M38_531_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_531_8)))
% 293.42/42.89
% 293.42/42.89 [16681] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_531_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_531_8)))
% 293.42/42.89 -> [16789] ~unequally_directed_lines(skolem_N7979, M38_531_8)
% 293.42/42.89 -> [16790] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_531_8))
% 293.42/42.89
% 293.42/42.89 [16790] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_531_8))
% 293.42/42.89
% 293.42/42.89 [16789] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_531_8)
% 293.42/42.89
% 293.42/42.89 [16682] BETA_OR : (left_convergent_lines(skolem_N7979, M38_531_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_531_8)))
% 293.42/42.89 -> [16688] left_convergent_lines(skolem_N7979, M38_531_8)
% 293.42/42.89 -> [16689] left_convergent_lines(skolem_N7979, reverse_line(M38_531_8))
% 293.42/42.89
% 293.42/42.89 [16688] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [17086] ~(left_apart_point(A39_1035_9, L40_1035_9) | left_apart_point(A39_1035_9, reverse_line(L40_1035_9)))
% 293.42/42.89
% 293.42/42.89 [17086] ALPHA_NOT_OR : ~(left_apart_point(A39_1035_9, L40_1035_9) | left_apart_point(A39_1035_9, reverse_line(L40_1035_9)))
% 293.42/42.89 -> [17089] ~left_apart_point(A39_1035_9, L40_1035_9), ~left_apart_point(A39_1035_9, reverse_line(L40_1035_9))
% 293.42/42.89
% 293.42/42.89 [17089] CLOSURE : ~left_apart_point(A39_1035_9, L40_1035_9)
% 293.42/42.89
% 293.42/42.89 [16689] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [17096] ~(left_apart_point(A39_1036_9, L40_1036_9) | left_apart_point(A39_1036_9, reverse_line(L40_1036_9)))
% 293.42/42.89
% 293.42/42.89 [17096] ALPHA_NOT_OR : ~(left_apart_point(A39_1036_9, L40_1036_9) | left_apart_point(A39_1036_9, reverse_line(L40_1036_9)))
% 293.42/42.89 -> [17097] ~left_apart_point(A39_1036_9, L40_1036_9), ~left_apart_point(A39_1036_9, reverse_line(L40_1036_9))
% 293.42/42.89
% 293.42/42.89 [17097] CLOSURE : ~left_apart_point(A39_1036_9, L40_1036_9)
% 293.42/42.89
% 293.42/42.89 [15075] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [16649] ((unequally_directed_lines(skolem_N7979, M38_529_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_529_8))) => (left_convergent_lines(skolem_N7979, M38_529_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_529_8))))
% 293.42/42.89
% 293.42/42.89 [16649] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_529_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_529_8))) => (left_convergent_lines(skolem_N7979, M38_529_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_529_8))))
% 293.42/42.89 -> [16650] ~(unequally_directed_lines(skolem_N7979, M38_529_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_529_8)))
% 293.42/42.89 -> [16651] (left_convergent_lines(skolem_N7979, M38_529_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_529_8)))
% 293.42/42.89
% 293.42/42.89 [16650] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_529_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_529_8)))
% 293.42/42.89 -> [16721] ~unequally_directed_lines(skolem_N7979, M38_529_8)
% 293.42/42.89 -> [16722] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_529_8))
% 293.42/42.89
% 293.42/42.89 [16722] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_529_8))
% 293.42/42.89
% 293.42/42.89 [16721] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_529_8)
% 293.42/42.89
% 293.42/42.89 [16651] BETA_OR : (left_convergent_lines(skolem_N7979, M38_529_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_529_8)))
% 293.42/42.89 -> [16659] left_convergent_lines(skolem_N7979, M38_529_8)
% 293.42/42.89 -> [16660] left_convergent_lines(skolem_N7979, reverse_line(M38_529_8))
% 293.42/42.89
% 293.42/42.89 [16660] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [16951] ~(left_apart_point(A39_1022_9, L40_1022_9) | left_apart_point(A39_1022_9, reverse_line(L40_1022_9)))
% 293.42/42.89
% 293.42/42.89 [16951] ALPHA_NOT_OR : ~(left_apart_point(A39_1022_9, L40_1022_9) | left_apart_point(A39_1022_9, reverse_line(L40_1022_9)))
% 293.42/42.89 -> [16952] ~left_apart_point(A39_1022_9, L40_1022_9), ~left_apart_point(A39_1022_9, reverse_line(L40_1022_9))
% 293.42/42.89
% 293.42/42.89 [16952] CLOSURE : ~left_apart_point(A39_1022_9, L40_1022_9)
% 293.42/42.89
% 293.42/42.89 [16659] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [17185] ~(left_apart_point(A39_1051_9, L40_1051_9) | left_apart_point(A39_1051_9, reverse_line(L40_1051_9)))
% 293.42/42.89
% 293.42/42.89 [17185] ALPHA_NOT_OR : ~(left_apart_point(A39_1051_9, L40_1051_9) | left_apart_point(A39_1051_9, reverse_line(L40_1051_9)))
% 293.42/42.89 -> [17187] ~left_apart_point(A39_1051_9, L40_1051_9), ~left_apart_point(A39_1051_9, reverse_line(L40_1051_9))
% 293.42/42.89
% 293.42/42.89 [17187] CLOSURE : ~left_apart_point(A39_1051_9, L40_1051_9)
% 293.42/42.89
% 293.42/42.89 [15069] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.89 -> [15072] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 293.42/42.89 -> [15073] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [15073] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [15072] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [21624] ((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))))
% 293.42/42.89
% 293.42/42.89 [21624] 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))))
% 293.42/42.89 -> [21626] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [21627] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89
% 293.42/42.89 [21626] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [21663] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89 -> [21664] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [21664] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [21663] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89
% 293.42/42.89 [21627] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [21629] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89 -> [21630] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [21630] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [21752] ~(left_apart_point(A39_1634_9, L40_1634_9) | left_apart_point(A39_1634_9, reverse_line(L40_1634_9)))
% 293.42/42.89
% 293.42/42.89 [21752] ALPHA_NOT_OR : ~(left_apart_point(A39_1634_9, L40_1634_9) | left_apart_point(A39_1634_9, reverse_line(L40_1634_9)))
% 293.42/42.89 -> [21753] ~left_apart_point(A39_1634_9, L40_1634_9), ~left_apart_point(A39_1634_9, reverse_line(L40_1634_9))
% 293.42/42.89
% 293.42/42.89 [21753] CLOSURE : ~left_apart_point(A39_1634_9, L40_1634_9)
% 293.42/42.89
% 293.42/42.89 [21629] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [21793] ~(left_apart_point(A39_1642_9, L40_1642_9) | left_apart_point(A39_1642_9, reverse_line(L40_1642_9)))
% 293.42/42.89
% 293.42/42.89 [21793] ALPHA_NOT_OR : ~(left_apart_point(A39_1642_9, L40_1642_9) | left_apart_point(A39_1642_9, reverse_line(L40_1642_9)))
% 293.42/42.89 -> [21795] ~left_apart_point(A39_1642_9, L40_1642_9), ~left_apart_point(A39_1642_9, reverse_line(L40_1642_9))
% 293.42/42.89
% 293.42/42.89 [21795] CLOSURE : ~left_apart_point(A39_1642_9, L40_1642_9)
% 293.42/42.89
% 293.42/42.89 [236] 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)))
% 293.42/42.89 -> [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)))
% 293.42/42.89
% 293.42/42.89 [248] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.89 -> [255] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.42/42.89 -> [256] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [255] 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)))
% 293.42/42.89 -> [1181] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 293.42/42.89 -> [1182] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [1181] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.89 -> [1717] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.89
% 293.42/42.89 [1717] 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))))
% 293.42/42.89 -> [1816] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.89
% 293.42/42.89 [1816] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.89 -> [1819] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.89 -> [1820] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.89
% 293.42/42.89 [1819] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.89
% 293.42/42.89 [1820] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.89 -> [5371] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.89 -> [5372] distinct_points(skolem_C8282, skolem_B8181)
% 293.42/42.89
% 293.42/42.89 [5371] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.89
% 293.42/42.89 [5372] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.89 -> [6179] ~distinct_lines(N27_196_3, N27_196_3)
% 293.42/42.89
% 293.42/42.89 [6179] 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))))
% 293.42/42.89 -> [6257] (distinct_lines(N27_196_3, N27_196_3) => (distinct_lines(N27_196_3, N27_196_3) | distinct_lines(N27_196_3, N27_196_3)))
% 293.42/42.89
% 293.42/42.89 [6257] BETA_IMPLY : (distinct_lines(N27_196_3, N27_196_3) => (distinct_lines(N27_196_3, N27_196_3) | distinct_lines(N27_196_3, N27_196_3)))
% 293.42/42.89 -> [6259] ~distinct_lines(N27_196_3, N27_196_3)
% 293.42/42.89 -> [6260] (distinct_lines(N27_196_3, N27_196_3) | distinct_lines(N27_196_3, N27_196_3))
% 293.42/42.89
% 293.42/42.89 [6260] BETA_OR : (distinct_lines(N27_196_3, N27_196_3) | distinct_lines(N27_196_3, N27_196_3))
% 293.42/42.89 -> [6264] distinct_lines(N27_196_3, N27_196_3)
% 293.42/42.89 -> [6265] distinct_lines(N27_196_3, N27_196_3)
% 293.42/42.89
% 293.42/42.89 [6264] CLOSURE : distinct_lines(N27_196_3, N27_196_3)
% 293.42/42.89
% 293.42/42.89 [6265] CLOSURE : distinct_lines(N27_196_3, N27_196_3)
% 293.42/42.89
% 293.42/42.89 [6259] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.89 -> [6346] ~unequally_directed_lines(skolem_N7979, skolem_N7979)
% 293.42/42.89
% 293.42/42.89 [6346] 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))))
% 293.42/42.89 -> [6397] (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))))
% 293.42/42.89
% 293.42/42.89 [6397] 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))))
% 293.42/42.89 -> [6398] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.89 -> [6399] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_C8282)))
% 293.42/42.89
% 293.42/42.89 [6398] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [6399] BETA_OR : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_C8282)))
% 293.42/42.89 -> [9364] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.42/42.89 -> [9365] unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_C8282))
% 293.42/42.89
% 293.42/42.89 [9364] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.42/42.89
% 293.42/42.89 [9365] 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))))))
% 293.42/42.89 -> [10058] ((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)))))
% 293.42/42.89
% 293.42/42.89 [10058] 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)))))
% 293.42/42.89 -> [10061] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [10062] ((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))))
% 293.42/42.89
% 293.42/42.89 [10061] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [10081] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89 -> [10082] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [10081] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89
% 293.42/42.89 [10082] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [10062] 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))))
% 293.42/42.89 -> [15383] (unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [15384] (unequally_directed_lines(skolem_N7979, skolem_N7979) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979)))
% 293.42/42.89
% 293.42/42.89 [15384] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_N7979) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [15391] unequally_directed_lines(skolem_N7979, skolem_N7979), unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [15391] CLOSURE : unequally_directed_lines(skolem_N7979, skolem_N7979)
% 293.42/42.89
% 293.42/42.89 [15399] 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)))))
% 293.42/42.89 -> [15469] ((line(skolem_N7979) & line(skolem_N7979)) => (unequally_directed_lines(skolem_N7979, skolem_N7979) | unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979))))
% 293.42/42.89
% 293.42/42.89 [15469] BETA_IMPLY : ((line(skolem_N7979) & line(skolem_N7979)) => (unequally_directed_lines(skolem_N7979, skolem_N7979) | unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979))))
% 293.42/42.89 -> [15471] ~(line(skolem_N7979) & line(skolem_N7979))
% 293.42/42.89 -> [15472] (unequally_directed_lines(skolem_N7979, skolem_N7979) | unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979)))
% 293.42/42.89
% 293.42/42.89 [15472] BETA_OR : (unequally_directed_lines(skolem_N7979, skolem_N7979) | unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [15478] unequally_directed_lines(skolem_N7979, skolem_N7979)
% 293.42/42.89 -> [15479] unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [15478] CLOSURE : unequally_directed_lines(skolem_N7979, skolem_N7979)
% 293.42/42.89
% 293.42/42.89 [15479] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [15509] ((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))))
% 293.42/42.89
% 293.42/42.89 [15509] 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))))
% 293.42/42.89 -> [15510] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [15511] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89
% 293.42/42.89 [15510] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [15536] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89 -> [15537] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [15537] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [15536] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89
% 293.42/42.89 [15511] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [15512] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89 -> [15513] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [15513] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [15633] ~(left_apart_point(A39_891_9, L40_891_9) | left_apart_point(A39_891_9, reverse_line(L40_891_9)))
% 293.42/42.89
% 293.42/42.89 [15633] ALPHA_NOT_OR : ~(left_apart_point(A39_891_9, L40_891_9) | left_apart_point(A39_891_9, reverse_line(L40_891_9)))
% 293.42/42.89 -> [15634] ~left_apart_point(A39_891_9, L40_891_9), ~left_apart_point(A39_891_9, reverse_line(L40_891_9))
% 293.42/42.89
% 293.42/42.89 [15634] CLOSURE : ~left_apart_point(A39_891_9, L40_891_9)
% 293.42/42.89
% 293.42/42.89 [15512] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [15652] ~(left_apart_point(A39_896_9, L40_896_9) | left_apart_point(A39_896_9, reverse_line(L40_896_9)))
% 293.42/42.89
% 293.42/42.89 [15652] ALPHA_NOT_OR : ~(left_apart_point(A39_896_9, L40_896_9) | left_apart_point(A39_896_9, reverse_line(L40_896_9)))
% 293.42/42.89 -> [15653] ~left_apart_point(A39_896_9, L40_896_9), ~left_apart_point(A39_896_9, reverse_line(L40_896_9))
% 293.42/42.89
% 293.42/42.89 [15653] CLOSURE : ~left_apart_point(A39_896_9, L40_896_9)
% 293.42/42.89
% 293.42/42.89 [15471] BETA_NOT_AND : ~(line(skolem_N7979) & line(skolem_N7979))
% 293.42/42.89 -> [15485] ~line(skolem_N7979)
% 293.42/42.89 -> [15486] ~line(skolem_N7979)
% 293.42/42.89
% 293.42/42.89 [15486] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [15504] ((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))))
% 293.42/42.89
% 293.42/42.89 [15504] 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))))
% 293.42/42.89 -> [15505] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [15506] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89
% 293.42/42.89 [15505] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [15532] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89 -> [15533] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [15533] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [15532] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89
% 293.42/42.89 [15506] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [15507] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89 -> [15508] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [15508] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [15621] ~(left_apart_point(A39_888_9, L40_888_9) | left_apart_point(A39_888_9, reverse_line(L40_888_9)))
% 293.42/42.89
% 293.42/42.89 [15621] ALPHA_NOT_OR : ~(left_apart_point(A39_888_9, L40_888_9) | left_apart_point(A39_888_9, reverse_line(L40_888_9)))
% 293.42/42.89 -> [15623] ~left_apart_point(A39_888_9, L40_888_9), ~left_apart_point(A39_888_9, reverse_line(L40_888_9))
% 293.42/42.89
% 293.42/42.89 [15623] CLOSURE : ~left_apart_point(A39_888_9, L40_888_9)
% 293.42/42.89
% 293.42/42.89 [15507] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [15646] ~(left_apart_point(A39_894_9, L40_894_9) | left_apart_point(A39_894_9, reverse_line(L40_894_9)))
% 293.42/42.89
% 293.42/42.89 [15646] ALPHA_NOT_OR : ~(left_apart_point(A39_894_9, L40_894_9) | left_apart_point(A39_894_9, reverse_line(L40_894_9)))
% 293.42/42.89 -> [15647] ~left_apart_point(A39_894_9, L40_894_9), ~left_apart_point(A39_894_9, reverse_line(L40_894_9))
% 293.42/42.89
% 293.42/42.89 [15647] CLOSURE : ~left_apart_point(A39_894_9, L40_894_9)
% 293.42/42.89
% 293.42/42.89 [15485] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [15516] ((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))))
% 293.42/42.89
% 293.42/42.89 [15516] 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))))
% 293.42/42.89 -> [15517] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [15518] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89
% 293.42/42.89 [15517] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [15550] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89 -> [15551] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [15550] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89
% 293.42/42.89 [15551] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [15518] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [15523] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89 -> [15524] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [15524] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [15638] ~(left_apart_point(A39_892_9, L40_892_9) | left_apart_point(A39_892_9, reverse_line(L40_892_9)))
% 293.42/42.89
% 293.42/42.89 [15638] ALPHA_NOT_OR : ~(left_apart_point(A39_892_9, L40_892_9) | left_apart_point(A39_892_9, reverse_line(L40_892_9)))
% 293.42/42.89 -> [15639] ~left_apart_point(A39_892_9, L40_892_9), ~left_apart_point(A39_892_9, reverse_line(L40_892_9))
% 293.42/42.89
% 293.42/42.89 [15639] CLOSURE : ~left_apart_point(A39_892_9, L40_892_9)
% 293.42/42.89
% 293.42/42.89 [15523] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [15658] ~(left_apart_point(A39_897_9, L40_897_9) | left_apart_point(A39_897_9, reverse_line(L40_897_9)))
% 293.42/42.89
% 293.42/42.89 [15658] ALPHA_NOT_OR : ~(left_apart_point(A39_897_9, L40_897_9) | left_apart_point(A39_897_9, reverse_line(L40_897_9)))
% 293.42/42.89 -> [15659] ~left_apart_point(A39_897_9, L40_897_9), ~left_apart_point(A39_897_9, reverse_line(L40_897_9))
% 293.42/42.89
% 293.42/42.89 [15659] CLOSURE : ~left_apart_point(A39_897_9, L40_897_9)
% 293.42/42.89
% 293.42/42.89 [1182] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.89 -> [1869] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.89
% 293.42/42.89 [1869] 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))))
% 293.42/42.89 -> [2845] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.89
% 293.42/42.89 [2845] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.89 -> [2847] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.89 -> [2848] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.89
% 293.42/42.89 [2847] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.89
% 293.42/42.89 [2848] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.89 -> [3335] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.89 -> [3336] distinct_points(skolem_C8282, skolem_B8181)
% 293.42/42.89
% 293.42/42.89 [3335] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.89
% 293.42/42.89 [3336] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.89 -> [4030] ~distinct_lines(N27_89_3, N27_89_3)
% 293.42/42.89
% 293.42/42.89 [4030] 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))))
% 293.42/42.89 -> [4086] (distinct_lines(N27_89_3, N27_89_3) => (distinct_lines(N27_89_3, N27_89_3) | distinct_lines(N27_89_3, N27_89_3)))
% 293.42/42.89
% 293.42/42.89 [4086] 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)))
% 293.42/42.89 -> [4087] ~distinct_lines(N27_89_3, N27_89_3)
% 293.42/42.89 -> [4088] (distinct_lines(N27_89_3, N27_89_3) | distinct_lines(N27_89_3, N27_89_3))
% 293.42/42.89
% 293.42/42.89 [4088] BETA_OR : (distinct_lines(N27_89_3, N27_89_3) | distinct_lines(N27_89_3, N27_89_3))
% 293.42/42.89 -> [4090] distinct_lines(N27_89_3, N27_89_3)
% 293.42/42.89 -> [4091] distinct_lines(N27_89_3, N27_89_3)
% 293.42/42.89
% 293.42/42.89 [4090] CLOSURE : distinct_lines(N27_89_3, N27_89_3)
% 293.42/42.89
% 293.42/42.89 [4091] CLOSURE : distinct_lines(N27_89_3, N27_89_3)
% 293.42/42.89
% 293.42/42.89 [4087] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.89 -> [4139] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [4139] 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))))
% 293.42/42.89 -> [5215] (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)))
% 293.42/42.89
% 293.42/42.89 [5215] 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)))
% 293.42/42.89 -> [5216] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89 -> [5217] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [5216] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [5217] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.89 -> [7438] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89 -> [7439] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [7438] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [7439] 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))))))
% 293.42/42.89 -> [8987] ((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)))))
% 293.42/42.89
% 293.42/42.89 [8987] 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)))))
% 293.42/42.89 -> [8989] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [8990] ((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))))
% 293.42/42.89
% 293.42/42.89 [8989] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [9027] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89 -> [9028] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [9028] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [9027] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89
% 293.42/42.89 [8990] 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))))
% 293.42/42.89 -> [16982] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [16983] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.89
% 293.42/42.89 [16982] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [16993] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [16993] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [16983] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [16986] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [16986] 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)))))
% 293.42/42.89 -> [17886] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.89
% 293.42/42.89 [17886] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.89 -> [17889] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.89 -> [17890] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.89
% 293.42/42.89 [17890] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.89 -> [17893] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89 -> [17894] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [17894] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [18944] ((unequally_directed_lines(skolem_N7979, M38_670_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_670_8))) => (left_convergent_lines(skolem_N7979, M38_670_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_670_8))))
% 293.42/42.89
% 293.42/42.89 [18944] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_670_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_670_8))) => (left_convergent_lines(skolem_N7979, M38_670_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_670_8))))
% 293.42/42.89 -> [18948] ~(unequally_directed_lines(skolem_N7979, M38_670_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_670_8)))
% 293.42/42.89 -> [18949] (left_convergent_lines(skolem_N7979, M38_670_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_670_8)))
% 293.42/42.89
% 293.42/42.89 [18949] BETA_OR : (left_convergent_lines(skolem_N7979, M38_670_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_670_8)))
% 293.42/42.89 -> [18956] left_convergent_lines(skolem_N7979, M38_670_8)
% 293.42/42.89 -> [18957] left_convergent_lines(skolem_N7979, reverse_line(M38_670_8))
% 293.42/42.89
% 293.42/42.89 [18957] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [19126] ~(left_apart_point(A39_1297_9, L40_1297_9) | left_apart_point(A39_1297_9, reverse_line(L40_1297_9)))
% 293.42/42.89
% 293.42/42.89 [19126] ALPHA_NOT_OR : ~(left_apart_point(A39_1297_9, L40_1297_9) | left_apart_point(A39_1297_9, reverse_line(L40_1297_9)))
% 293.42/42.89 -> [19127] ~left_apart_point(A39_1297_9, L40_1297_9), ~left_apart_point(A39_1297_9, reverse_line(L40_1297_9))
% 293.42/42.89
% 293.42/42.89 [19127] CLOSURE : ~left_apart_point(A39_1297_9, L40_1297_9)
% 293.42/42.89
% 293.42/42.89 [18956] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [19137] ~(left_apart_point(A39_1302_9, L40_1302_9) | left_apart_point(A39_1302_9, reverse_line(L40_1302_9)))
% 293.42/42.89
% 293.42/42.89 [19137] ALPHA_NOT_OR : ~(left_apart_point(A39_1302_9, L40_1302_9) | left_apart_point(A39_1302_9, reverse_line(L40_1302_9)))
% 293.42/42.89 -> [19139] ~left_apart_point(A39_1302_9, L40_1302_9), ~left_apart_point(A39_1302_9, reverse_line(L40_1302_9))
% 293.42/42.89
% 293.42/42.89 [19139] CLOSURE : ~left_apart_point(A39_1302_9, L40_1302_9)
% 293.42/42.89
% 293.42/42.89 [18948] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_670_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_670_8)))
% 293.42/42.89 -> [18986] ~unequally_directed_lines(skolem_N7979, M38_670_8)
% 293.42/42.89 -> [18987] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_670_8))
% 293.42/42.89
% 293.42/42.89 [18987] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_670_8))
% 293.42/42.89
% 293.42/42.89 [18986] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_670_8)
% 293.42/42.89
% 293.42/42.89 [17893] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [17889] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.89 -> [18068] ~line(skolem_M7878)
% 293.42/42.89 -> [18069] ~line(skolem_M7878)
% 293.42/42.89
% 293.42/42.89 [18069] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [18479] ((unequally_directed_lines(skolem_N7979, M38_642_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_642_8))) => (left_convergent_lines(skolem_N7979, M38_642_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_642_8))))
% 293.42/42.89
% 293.42/42.89 [18479] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_642_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_642_8))) => (left_convergent_lines(skolem_N7979, M38_642_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_642_8))))
% 293.42/42.89 -> [18481] ~(unequally_directed_lines(skolem_N7979, M38_642_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_642_8)))
% 293.42/42.89 -> [18482] (left_convergent_lines(skolem_N7979, M38_642_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_642_8)))
% 293.42/42.89
% 293.42/42.89 [18481] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_642_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_642_8)))
% 293.42/42.89 -> [18554] ~unequally_directed_lines(skolem_N7979, M38_642_8)
% 293.42/42.89 -> [18555] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_642_8))
% 293.42/42.89
% 293.42/42.89 [18555] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_642_8))
% 293.42/42.89
% 293.42/42.89 [18554] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_642_8)
% 293.42/42.89
% 293.42/42.89 [18482] BETA_OR : (left_convergent_lines(skolem_N7979, M38_642_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_642_8)))
% 293.42/42.89 -> [18492] left_convergent_lines(skolem_N7979, M38_642_8)
% 293.42/42.89 -> [18493] left_convergent_lines(skolem_N7979, reverse_line(M38_642_8))
% 293.42/42.89
% 293.42/42.89 [18493] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [18633] ~(left_apart_point(A39_1243_9, L40_1243_9) | left_apart_point(A39_1243_9, reverse_line(L40_1243_9)))
% 293.42/42.89
% 293.42/42.89 [18633] ALPHA_NOT_OR : ~(left_apart_point(A39_1243_9, L40_1243_9) | left_apart_point(A39_1243_9, reverse_line(L40_1243_9)))
% 293.42/42.89 -> [18634] ~left_apart_point(A39_1243_9, L40_1243_9), ~left_apart_point(A39_1243_9, reverse_line(L40_1243_9))
% 293.42/42.89
% 293.42/42.89 [18634] CLOSURE : ~left_apart_point(A39_1243_9, L40_1243_9)
% 293.42/42.89
% 293.42/42.89 [18492] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [18667] ~(left_apart_point(A39_1247_9, L40_1247_9) | left_apart_point(A39_1247_9, reverse_line(L40_1247_9)))
% 293.42/42.89
% 293.42/42.89 [18667] ALPHA_NOT_OR : ~(left_apart_point(A39_1247_9, L40_1247_9) | left_apart_point(A39_1247_9, reverse_line(L40_1247_9)))
% 293.42/42.89 -> [18669] ~left_apart_point(A39_1247_9, L40_1247_9), ~left_apart_point(A39_1247_9, reverse_line(L40_1247_9))
% 293.42/42.89
% 293.42/42.89 [18669] CLOSURE : ~left_apart_point(A39_1247_9, L40_1247_9)
% 293.42/42.89
% 293.42/42.89 [18068] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [19000] ((unequally_directed_lines(skolem_N7979, M38_675_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_675_8))) => (left_convergent_lines(skolem_N7979, M38_675_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_675_8))))
% 293.42/42.89
% 293.42/42.89 [19000] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_675_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_675_8))) => (left_convergent_lines(skolem_N7979, M38_675_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_675_8))))
% 293.42/42.89 -> [19003] ~(unequally_directed_lines(skolem_N7979, M38_675_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_675_8)))
% 293.42/42.89 -> [19004] (left_convergent_lines(skolem_N7979, M38_675_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_675_8)))
% 293.42/42.89
% 293.42/42.89 [19004] BETA_OR : (left_convergent_lines(skolem_N7979, M38_675_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_675_8)))
% 293.42/42.89 -> [19009] left_convergent_lines(skolem_N7979, M38_675_8)
% 293.42/42.89 -> [19010] left_convergent_lines(skolem_N7979, reverse_line(M38_675_8))
% 293.42/42.89
% 293.42/42.89 [19009] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [19871] ~(left_apart_point(A39_1398_9, L40_1398_9) | left_apart_point(A39_1398_9, reverse_line(L40_1398_9)))
% 293.42/42.89
% 293.42/42.89 [19871] ALPHA_NOT_OR : ~(left_apart_point(A39_1398_9, L40_1398_9) | left_apart_point(A39_1398_9, reverse_line(L40_1398_9)))
% 293.42/42.89 -> [19872] ~left_apart_point(A39_1398_9, L40_1398_9), ~left_apart_point(A39_1398_9, reverse_line(L40_1398_9))
% 293.42/42.89
% 293.42/42.89 [19872] CLOSURE : ~left_apart_point(A39_1398_9, L40_1398_9)
% 293.42/42.89
% 293.42/42.89 [19010] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.89 -> [19938] ~(left_apart_point(A39_1406_9, L40_1406_9) | left_apart_point(A39_1406_9, reverse_line(L40_1406_9)))
% 293.42/42.89
% 293.42/42.89 [19938] ALPHA_NOT_OR : ~(left_apart_point(A39_1406_9, L40_1406_9) | left_apart_point(A39_1406_9, reverse_line(L40_1406_9)))
% 293.42/42.89 -> [19941] ~left_apart_point(A39_1406_9, L40_1406_9), ~left_apart_point(A39_1406_9, reverse_line(L40_1406_9))
% 293.42/42.89
% 293.42/42.89 [19941] CLOSURE : ~left_apart_point(A39_1406_9, L40_1406_9)
% 293.42/42.89
% 293.42/42.89 [19003] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_675_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_675_8)))
% 293.42/42.89 -> [19630] ~unequally_directed_lines(skolem_N7979, M38_675_8)
% 293.42/42.89 -> [19631] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_675_8))
% 293.42/42.89
% 293.42/42.89 [19631] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_675_8))
% 293.42/42.89
% 293.42/42.89 [19630] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_675_8)
% 293.42/42.89
% 293.42/42.89 [256] 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)))
% 293.42/42.89 -> [1235] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 293.42/42.89 -> [1236] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 293.42/42.89
% 293.42/42.89 [1236] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.89 -> [1262] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.89
% 293.42/42.89 [1262] 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))))
% 293.42/42.89 -> [1326] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.89
% 293.42/42.89 [1326] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.89 -> [1554] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.89 -> [1555] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.89
% 293.42/42.89 [1554] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.89
% 293.42/42.89 [1555] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.89 -> [4155] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.89 -> [4156] distinct_points(skolem_C8282, skolem_B8181)
% 293.42/42.89
% 293.42/42.89 [4155] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.89
% 293.42/42.89 [4156] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.89 -> [6298] ~distinct_lines(N27_217_3, N27_217_3)
% 293.42/42.89
% 293.42/42.89 [6298] 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))))
% 293.42/42.89 -> [6807] (distinct_lines(N27_217_3, N27_217_3) => (distinct_lines(N27_217_3, N27_217_3) | distinct_lines(N27_217_3, N27_217_3)))
% 293.42/42.89
% 293.42/42.89 [6807] BETA_IMPLY : (distinct_lines(N27_217_3, N27_217_3) => (distinct_lines(N27_217_3, N27_217_3) | distinct_lines(N27_217_3, N27_217_3)))
% 293.42/42.89 -> [6808] ~distinct_lines(N27_217_3, N27_217_3)
% 293.42/42.89 -> [6809] (distinct_lines(N27_217_3, N27_217_3) | distinct_lines(N27_217_3, N27_217_3))
% 293.42/42.89
% 293.42/42.89 [6809] BETA_OR : (distinct_lines(N27_217_3, N27_217_3) | distinct_lines(N27_217_3, N27_217_3))
% 293.42/42.89 -> [6816] distinct_lines(N27_217_3, N27_217_3)
% 293.42/42.89 -> [6817] distinct_lines(N27_217_3, N27_217_3)
% 293.42/42.89
% 293.42/42.89 [6817] CLOSURE : distinct_lines(N27_217_3, N27_217_3)
% 293.42/42.89
% 293.42/42.89 [6816] CLOSURE : distinct_lines(N27_217_3, N27_217_3)
% 293.42/42.89
% 293.42/42.89 [6808] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.89 -> [6934] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [6934] 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))))
% 293.42/42.89 -> [7020] (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))))
% 293.42/42.89
% 293.42/42.89 [7020] 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))))
% 293.42/42.89 -> [7021] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89 -> [7022] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.89
% 293.42/42.89 [7021] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [7022] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.89 -> [8035] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89 -> [8036] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [8036] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [8035] 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))))))
% 293.42/42.89 -> [8907] ((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)))))
% 293.42/42.89
% 293.42/42.89 [8907] 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)))))
% 293.42/42.89 -> [8909] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [8910] ((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))))
% 293.42/42.89
% 293.42/42.89 [8909] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.89 -> [8925] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89 -> [8926] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [8926] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [8925] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.89
% 293.42/42.89 [8910] 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))))
% 293.42/42.89 -> [20466] (unequally_directed_lines(skolem_M7878, N34_88_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_88_6)))
% 293.42/42.89 -> [20467] (unequally_directed_lines(skolem_N7979, N34_88_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_88_6)))
% 293.42/42.89
% 293.42/42.89 [20466] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_88_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_88_6)))
% 293.42/42.89 -> [20507] unequally_directed_lines(skolem_M7878, N34_88_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_88_6))
% 293.42/42.89
% 293.42/42.89 [20507] 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)))))
% 293.42/42.89 -> [20808] ((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)))))
% 293.42/42.89
% 293.42/42.89 [20808] 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)))))
% 293.42/42.89 -> [20810] ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.89 -> [20811] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 293.42/42.89
% 293.42/42.89 [20810] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.89 -> [20926] ~line(reverse_line(skolem_N7979))
% 293.42/42.89 -> [20927] ~line(reverse_line(skolem_N7979))
% 293.42/42.89
% 293.42/42.89 [20927] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.89 -> [21203] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.90
% 293.42/42.90 [21203] 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))))
% 293.42/42.90 -> [21206] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [21207] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90
% 293.42/42.90 [21206] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [21295] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [21296] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [21296] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [21295] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [21207] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [21214] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [21215] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [21215] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [21671] ~(left_apart_point(A39_1619_9, L40_1619_9) | left_apart_point(A39_1619_9, reverse_line(L40_1619_9)))
% 293.42/42.90
% 293.42/42.90 [21671] ALPHA_NOT_OR : ~(left_apart_point(A39_1619_9, L40_1619_9) | left_apart_point(A39_1619_9, reverse_line(L40_1619_9)))
% 293.42/42.90 -> [21673] ~left_apart_point(A39_1619_9, L40_1619_9), ~left_apart_point(A39_1619_9, reverse_line(L40_1619_9))
% 293.42/42.90
% 293.42/42.90 [21673] CLOSURE : ~left_apart_point(A39_1619_9, L40_1619_9)
% 293.42/42.90
% 293.42/42.90 [21214] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [21797] ~(left_apart_point(A39_1644_9, L40_1644_9) | left_apart_point(A39_1644_9, reverse_line(L40_1644_9)))
% 293.42/42.90
% 293.42/42.90 [21797] ALPHA_NOT_OR : ~(left_apart_point(A39_1644_9, L40_1644_9) | left_apart_point(A39_1644_9, reverse_line(L40_1644_9)))
% 293.42/42.90 -> [21798] ~left_apart_point(A39_1644_9, L40_1644_9), ~left_apart_point(A39_1644_9, reverse_line(L40_1644_9))
% 293.42/42.90
% 293.42/42.90 [21798] CLOSURE : ~left_apart_point(A39_1644_9, L40_1644_9)
% 293.42/42.90
% 293.42/42.90 [20926] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [21276] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.90
% 293.42/42.90 [21276] 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))))
% 293.42/42.90 -> [21281] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [21282] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90
% 293.42/42.90 [21282] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [21287] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [21288] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [21288] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [21789] ~(left_apart_point(A39_1641_9, L40_1641_9) | left_apart_point(A39_1641_9, reverse_line(L40_1641_9)))
% 293.42/42.90
% 293.42/42.90 [21789] ALPHA_NOT_OR : ~(left_apart_point(A39_1641_9, L40_1641_9) | left_apart_point(A39_1641_9, reverse_line(L40_1641_9)))
% 293.42/42.90 -> [21790] ~left_apart_point(A39_1641_9, L40_1641_9), ~left_apart_point(A39_1641_9, reverse_line(L40_1641_9))
% 293.42/42.90
% 293.42/42.90 [21790] CLOSURE : ~left_apart_point(A39_1641_9, L40_1641_9)
% 293.42/42.90
% 293.42/42.90 [21287] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [22158] ~(left_apart_point(A39_1695_9, L40_1695_9) | left_apart_point(A39_1695_9, reverse_line(L40_1695_9)))
% 293.42/42.90
% 293.42/42.90 [22158] ALPHA_NOT_OR : ~(left_apart_point(A39_1695_9, L40_1695_9) | left_apart_point(A39_1695_9, reverse_line(L40_1695_9)))
% 293.42/42.90 -> [22161] ~left_apart_point(A39_1695_9, L40_1695_9), ~left_apart_point(A39_1695_9, reverse_line(L40_1695_9))
% 293.42/42.90
% 293.42/42.90 [22161] CLOSURE : ~left_apart_point(A39_1695_9, L40_1695_9)
% 293.42/42.90
% 293.42/42.90 [21281] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [21390] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [21391] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [21391] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [21390] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [20811] 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))))
% 293.42/42.90 -> [20817] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.90 -> [20818] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 293.42/42.90
% 293.42/42.90 [20817] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [20818] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [23293] ((unequally_directed_lines(skolem_M7878, M38_951_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_951_8))) => (left_convergent_lines(skolem_M7878, M38_951_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_951_8))))
% 293.42/42.90
% 293.42/42.90 [23293] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_951_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_951_8))) => (left_convergent_lines(skolem_M7878, M38_951_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_951_8))))
% 293.42/42.90 -> [23295] ~(unequally_directed_lines(skolem_M7878, M38_951_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_951_8)))
% 293.42/42.90 -> [23296] (left_convergent_lines(skolem_M7878, M38_951_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_951_8)))
% 293.42/42.90
% 293.42/42.90 [23295] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_951_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_951_8)))
% 293.42/42.90 -> [23346] ~unequally_directed_lines(skolem_M7878, M38_951_8)
% 293.42/42.90 -> [23347] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_951_8))
% 293.42/42.90
% 293.42/42.90 [23346] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_951_8)
% 293.42/42.90
% 293.42/42.90 [23347] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_951_8))
% 293.42/42.90
% 293.42/42.90 [23296] BETA_OR : (left_convergent_lines(skolem_M7878, M38_951_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_951_8)))
% 293.42/42.90 -> [23297] left_convergent_lines(skolem_M7878, M38_951_8)
% 293.42/42.90 -> [23298] left_convergent_lines(skolem_M7878, reverse_line(M38_951_8))
% 293.42/42.90
% 293.42/42.90 [23298] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [23487] ~(left_apart_point(A39_1883_9, L40_1883_9) | left_apart_point(A39_1883_9, reverse_line(L40_1883_9)))
% 293.42/42.90
% 293.42/42.90 [23487] ALPHA_NOT_OR : ~(left_apart_point(A39_1883_9, L40_1883_9) | left_apart_point(A39_1883_9, reverse_line(L40_1883_9)))
% 293.42/42.90 -> [23488] ~left_apart_point(A39_1883_9, L40_1883_9), ~left_apart_point(A39_1883_9, reverse_line(L40_1883_9))
% 293.42/42.90
% 293.42/42.90 [23488] CLOSURE : ~left_apart_point(A39_1883_9, L40_1883_9)
% 293.42/42.90
% 293.42/42.90 [23297] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [23560] ~(left_apart_point(A39_1899_9, L40_1899_9) | left_apart_point(A39_1899_9, reverse_line(L40_1899_9)))
% 293.42/42.90
% 293.42/42.90 [23560] ALPHA_NOT_OR : ~(left_apart_point(A39_1899_9, L40_1899_9) | left_apart_point(A39_1899_9, reverse_line(L40_1899_9)))
% 293.42/42.90 -> [23562] ~left_apart_point(A39_1899_9, L40_1899_9), ~left_apart_point(A39_1899_9, reverse_line(L40_1899_9))
% 293.42/42.90
% 293.42/42.90 [23562] CLOSURE : ~left_apart_point(A39_1899_9, L40_1899_9)
% 293.42/42.90
% 293.42/42.90 [20467] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_88_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_88_6)))
% 293.42/42.90 -> [20474] unequally_directed_lines(skolem_N7979, N34_88_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_88_6))
% 293.42/42.90
% 293.42/42.90 [20474] 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)))))
% 293.42/42.90 -> [20932] ((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))))
% 293.42/42.90
% 293.42/42.90 [20932] 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))))
% 293.42/42.90 -> [20933] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.90 -> [20934] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.90
% 293.42/42.90 [20933] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.90 -> [20994] ~line(reverse_line(skolem_N7979))
% 293.42/42.90 -> [20995] ~line(skolem_N7979)
% 293.42/42.90
% 293.42/42.90 [20995] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [21315] ((unequally_directed_lines(skolem_N7979, M38_829_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_829_8))) => (left_convergent_lines(skolem_N7979, M38_829_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_829_8))))
% 293.42/42.90
% 293.42/42.90 [21315] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_829_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_829_8))) => (left_convergent_lines(skolem_N7979, M38_829_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_829_8))))
% 293.42/42.90 -> [21319] ~(unequally_directed_lines(skolem_N7979, M38_829_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_829_8)))
% 293.42/42.90 -> [21320] (left_convergent_lines(skolem_N7979, M38_829_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_829_8)))
% 293.42/42.90
% 293.42/42.90 [21319] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_829_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_829_8)))
% 293.42/42.90 -> [21420] ~unequally_directed_lines(skolem_N7979, M38_829_8)
% 293.42/42.90 -> [21421] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_829_8))
% 293.42/42.90
% 293.42/42.90 [21421] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_829_8))
% 293.42/42.90
% 293.42/42.90 [21420] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_829_8)
% 293.42/42.90
% 293.42/42.90 [21320] BETA_OR : (left_convergent_lines(skolem_N7979, M38_829_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_829_8)))
% 293.42/42.90 -> [21321] left_convergent_lines(skolem_N7979, M38_829_8)
% 293.42/42.90 -> [21322] left_convergent_lines(skolem_N7979, reverse_line(M38_829_8))
% 293.42/42.90
% 293.42/42.90 [21322] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [21812] ~(left_apart_point(A39_1648_9, L40_1648_9) | left_apart_point(A39_1648_9, reverse_line(L40_1648_9)))
% 293.42/42.90
% 293.42/42.90 [21812] ALPHA_NOT_OR : ~(left_apart_point(A39_1648_9, L40_1648_9) | left_apart_point(A39_1648_9, reverse_line(L40_1648_9)))
% 293.42/42.90 -> [21813] ~left_apart_point(A39_1648_9, L40_1648_9), ~left_apart_point(A39_1648_9, reverse_line(L40_1648_9))
% 293.42/42.90
% 293.42/42.90 [21813] CLOSURE : ~left_apart_point(A39_1648_9, L40_1648_9)
% 293.42/42.90
% 293.42/42.90 [21321] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [21873] ~(left_apart_point(A39_1661_9, L40_1661_9) | left_apart_point(A39_1661_9, reverse_line(L40_1661_9)))
% 293.42/42.90
% 293.42/42.90 [21873] ALPHA_NOT_OR : ~(left_apart_point(A39_1661_9, L40_1661_9) | left_apart_point(A39_1661_9, reverse_line(L40_1661_9)))
% 293.42/42.90 -> [21876] ~left_apart_point(A39_1661_9, L40_1661_9), ~left_apart_point(A39_1661_9, reverse_line(L40_1661_9))
% 293.42/42.90
% 293.42/42.90 [21876] CLOSURE : ~left_apart_point(A39_1661_9, L40_1661_9)
% 293.42/42.90
% 293.42/42.90 [20994] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [21405] ((unequally_directed_lines(skolem_N7979, M38_837_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_837_8))) => (left_convergent_lines(skolem_N7979, M38_837_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_837_8))))
% 293.42/42.90
% 293.42/42.90 [21405] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_837_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_837_8))) => (left_convergent_lines(skolem_N7979, M38_837_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_837_8))))
% 293.42/42.90 -> [21410] ~(unequally_directed_lines(skolem_N7979, M38_837_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_837_8)))
% 293.42/42.90 -> [21411] (left_convergent_lines(skolem_N7979, M38_837_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_837_8)))
% 293.42/42.90
% 293.42/42.90 [21410] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_837_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_837_8)))
% 293.42/42.90 -> [21508] ~unequally_directed_lines(skolem_N7979, M38_837_8)
% 293.42/42.90 -> [21509] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_837_8))
% 293.42/42.90
% 293.42/42.90 [21509] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_837_8))
% 293.42/42.90
% 293.42/42.90 [21508] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_837_8)
% 293.42/42.90
% 293.42/42.90 [21411] BETA_OR : (left_convergent_lines(skolem_N7979, M38_837_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_837_8)))
% 293.42/42.90 -> [21415] left_convergent_lines(skolem_N7979, M38_837_8)
% 293.42/42.90 -> [21416] left_convergent_lines(skolem_N7979, reverse_line(M38_837_8))
% 293.42/42.90
% 293.42/42.90 [21416] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [21865] ~(left_apart_point(A39_1659_9, L40_1659_9) | left_apart_point(A39_1659_9, reverse_line(L40_1659_9)))
% 293.42/42.90
% 293.42/42.90 [21865] ALPHA_NOT_OR : ~(left_apart_point(A39_1659_9, L40_1659_9) | left_apart_point(A39_1659_9, reverse_line(L40_1659_9)))
% 293.42/42.90 -> [21869] ~left_apart_point(A39_1659_9, L40_1659_9), ~left_apart_point(A39_1659_9, reverse_line(L40_1659_9))
% 293.42/42.90
% 293.42/42.90 [21869] CLOSURE : ~left_apart_point(A39_1659_9, L40_1659_9)
% 293.42/42.90
% 293.42/42.90 [21415] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [21942] ~(left_apart_point(A39_1671_9, L40_1671_9) | left_apart_point(A39_1671_9, reverse_line(L40_1671_9)))
% 293.42/42.90
% 293.42/42.90 [21942] ALPHA_NOT_OR : ~(left_apart_point(A39_1671_9, L40_1671_9) | left_apart_point(A39_1671_9, reverse_line(L40_1671_9)))
% 293.42/42.90 -> [21946] ~left_apart_point(A39_1671_9, L40_1671_9), ~left_apart_point(A39_1671_9, reverse_line(L40_1671_9))
% 293.42/42.90
% 293.42/42.90 [21946] CLOSURE : ~left_apart_point(A39_1671_9, L40_1671_9)
% 293.42/42.90
% 293.42/42.90 [20934] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.90 -> [20939] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 293.42/42.90 -> [20940] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [20940] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [20939] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [24301] ((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))))
% 293.42/42.90
% 293.42/42.90 [24301] 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))))
% 293.42/42.90 -> [24305] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.90 -> [24306] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.90
% 293.42/42.90 [24305] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.90 -> [24319] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.90 -> [24320] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [24320] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [24319] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.90
% 293.42/42.90 [24306] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.90 -> [24309] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.90 -> [24310] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [24309] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [24334] ~(left_apart_point(A39_2015_9, L40_2015_9) | left_apart_point(A39_2015_9, reverse_line(L40_2015_9)))
% 293.42/42.90
% 293.42/42.90 [24334] ALPHA_NOT_OR : ~(left_apart_point(A39_2015_9, L40_2015_9) | left_apart_point(A39_2015_9, reverse_line(L40_2015_9)))
% 293.42/42.90 -> [24335] ~left_apart_point(A39_2015_9, L40_2015_9), ~left_apart_point(A39_2015_9, reverse_line(L40_2015_9))
% 293.42/42.90
% 293.42/42.90 [24335] CLOSURE : ~left_apart_point(A39_2015_9, L40_2015_9)
% 293.42/42.90
% 293.42/42.90 [24310] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [24339] ~(left_apart_point(A39_2017_9, L40_2017_9) | left_apart_point(A39_2017_9, reverse_line(L40_2017_9)))
% 293.42/42.90
% 293.42/42.90 [24339] ALPHA_NOT_OR : ~(left_apart_point(A39_2017_9, L40_2017_9) | left_apart_point(A39_2017_9, reverse_line(L40_2017_9)))
% 293.42/42.90 -> [24341] ~left_apart_point(A39_2017_9, L40_2017_9), ~left_apart_point(A39_2017_9, reverse_line(L40_2017_9))
% 293.42/42.90
% 293.42/42.90 [24341] CLOSURE : ~left_apart_point(A39_2017_9, L40_2017_9)
% 293.42/42.90
% 293.42/42.90 [1235] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.90 -> [1261] ~distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.90
% 293.42/42.90 [1261] 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))))
% 293.42/42.90 -> [1315] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.90
% 293.42/42.90 [1315] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.90 -> [1318] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.90 -> [1319] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.90
% 293.42/42.90 [1318] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.90
% 293.42/42.90 [1319] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.90 -> [5053] distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.90 -> [5054] distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.90
% 293.42/42.90 [5054] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.90
% 293.42/42.90 [5053] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.90 -> [5931] ~distinct_lines(N27_218_3, N27_218_3)
% 293.42/42.90
% 293.42/42.90 [5931] 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))))
% 293.42/42.90 -> [6813] (distinct_lines(N27_218_3, N27_218_3) => (distinct_lines(N27_218_3, N27_218_3) | distinct_lines(N27_218_3, N27_218_3)))
% 293.42/42.90
% 293.42/42.90 [6813] BETA_IMPLY : (distinct_lines(N27_218_3, N27_218_3) => (distinct_lines(N27_218_3, N27_218_3) | distinct_lines(N27_218_3, N27_218_3)))
% 293.42/42.90 -> [6814] ~distinct_lines(N27_218_3, N27_218_3)
% 293.42/42.90 -> [6815] (distinct_lines(N27_218_3, N27_218_3) | distinct_lines(N27_218_3, N27_218_3))
% 293.42/42.90
% 293.42/42.90 [6815] BETA_OR : (distinct_lines(N27_218_3, N27_218_3) | distinct_lines(N27_218_3, N27_218_3))
% 293.42/42.90 -> [6818] distinct_lines(N27_218_3, N27_218_3)
% 293.42/42.90 -> [6819] distinct_lines(N27_218_3, N27_218_3)
% 293.42/42.90
% 293.42/42.90 [6819] CLOSURE : distinct_lines(N27_218_3, N27_218_3)
% 293.42/42.90
% 293.42/42.90 [6818] CLOSURE : distinct_lines(N27_218_3, N27_218_3)
% 293.42/42.90
% 293.42/42.90 [6814] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.90 -> [7162] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [7162] 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))))
% 293.42/42.90 -> [7755] (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))))
% 293.42/42.90
% 293.42/42.90 [7755] 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))))
% 293.42/42.90 -> [7756] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90 -> [7757] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.90
% 293.42/42.90 [7756] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [7757] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.90 -> [10675] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90 -> [10676] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [10676] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [10675] 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))))))
% 293.42/42.90 -> [12881] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_187_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_187_6))) | (unequally_directed_lines(skolem_N7979, N34_187_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_187_6)))))
% 293.42/42.90
% 293.42/42.90 [12881] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_187_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_187_6))) | (unequally_directed_lines(skolem_N7979, N34_187_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_187_6)))))
% 293.42/42.90 -> [12883] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.90 -> [12884] ((unequally_directed_lines(skolem_M7878, N34_187_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_187_6))) | (unequally_directed_lines(skolem_N7979, N34_187_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_187_6))))
% 293.42/42.90
% 293.42/42.90 [12883] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.90 -> [12905] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.90 -> [12906] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [12906] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [12905] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.90
% 293.42/42.90 [12884] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_187_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_187_6))) | (unequally_directed_lines(skolem_N7979, N34_187_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_187_6))))
% 293.42/42.90 -> [19903] (unequally_directed_lines(skolem_M7878, N34_187_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_187_6)))
% 293.42/42.90 -> [19904] (unequally_directed_lines(skolem_N7979, N34_187_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_187_6)))
% 293.42/42.90
% 293.42/42.90 [19903] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_187_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_187_6)))
% 293.42/42.90 -> [19980] unequally_directed_lines(skolem_M7878, N34_187_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_187_6))
% 293.42/42.90
% 293.42/42.90 [19980] 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)))))
% 293.42/42.90 -> [20356] ((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)))))
% 293.42/42.90
% 293.42/42.90 [20356] 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)))))
% 293.42/42.90 -> [20358] ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.90 -> [20359] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 293.42/42.90
% 293.42/42.90 [20359] 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))))
% 293.42/42.90 -> [20360] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.90 -> [20361] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 293.42/42.90
% 293.42/42.90 [20360] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [20361] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [21738] ((unequally_directed_lines(skolem_M7878, M38_854_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_854_8))) => (left_convergent_lines(skolem_M7878, M38_854_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_854_8))))
% 293.42/42.90
% 293.42/42.90 [21738] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_854_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_854_8))) => (left_convergent_lines(skolem_M7878, M38_854_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_854_8))))
% 293.42/42.90 -> [21740] ~(unequally_directed_lines(skolem_M7878, M38_854_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_854_8)))
% 293.42/42.90 -> [21741] (left_convergent_lines(skolem_M7878, M38_854_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_854_8)))
% 293.42/42.90
% 293.42/42.90 [21740] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_854_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_854_8)))
% 293.42/42.90 -> [21783] ~unequally_directed_lines(skolem_M7878, M38_854_8)
% 293.42/42.90 -> [21784] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_854_8))
% 293.42/42.90
% 293.42/42.90 [21784] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_854_8))
% 293.42/42.90
% 293.42/42.90 [21783] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_854_8)
% 293.42/42.90
% 293.42/42.90 [21741] BETA_OR : (left_convergent_lines(skolem_M7878, M38_854_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_854_8)))
% 293.42/42.90 -> [21748] left_convergent_lines(skolem_M7878, M38_854_8)
% 293.42/42.90 -> [21749] left_convergent_lines(skolem_M7878, reverse_line(M38_854_8))
% 293.42/42.90
% 293.42/42.90 [21749] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [21832] ~(left_apart_point(A39_1651_9, L40_1651_9) | left_apart_point(A39_1651_9, reverse_line(L40_1651_9)))
% 293.42/42.90
% 293.42/42.90 [21832] ALPHA_NOT_OR : ~(left_apart_point(A39_1651_9, L40_1651_9) | left_apart_point(A39_1651_9, reverse_line(L40_1651_9)))
% 293.42/42.90 -> [21833] ~left_apart_point(A39_1651_9, L40_1651_9), ~left_apart_point(A39_1651_9, reverse_line(L40_1651_9))
% 293.42/42.90
% 293.42/42.90 [21833] CLOSURE : ~left_apart_point(A39_1651_9, L40_1651_9)
% 293.42/42.90
% 293.42/42.90 [21748] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [23440] ~(left_apart_point(A39_1875_9, L40_1875_9) | left_apart_point(A39_1875_9, reverse_line(L40_1875_9)))
% 293.42/42.90
% 293.42/42.90 [23440] ALPHA_NOT_OR : ~(left_apart_point(A39_1875_9, L40_1875_9) | left_apart_point(A39_1875_9, reverse_line(L40_1875_9)))
% 293.42/42.90 -> [23442] ~left_apart_point(A39_1875_9, L40_1875_9), ~left_apart_point(A39_1875_9, reverse_line(L40_1875_9))
% 293.42/42.90
% 293.42/42.90 [23442] CLOSURE : ~left_apart_point(A39_1875_9, L40_1875_9)
% 293.42/42.90
% 293.42/42.90 [20358] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.90 -> [20413] ~line(reverse_line(skolem_N7979))
% 293.42/42.90 -> [20414] ~line(reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [20414] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [20561] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.90
% 293.42/42.90 [20561] 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))))
% 293.42/42.90 -> [20565] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [20566] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90
% 293.42/42.90 [20565] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [20610] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [20611] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [20611] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [20610] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [20566] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [20570] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [20571] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [20571] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [20722] ~(left_apart_point(A39_1514_9, L40_1514_9) | left_apart_point(A39_1514_9, reverse_line(L40_1514_9)))
% 293.42/42.90
% 293.42/42.90 [20722] ALPHA_NOT_OR : ~(left_apart_point(A39_1514_9, L40_1514_9) | left_apart_point(A39_1514_9, reverse_line(L40_1514_9)))
% 293.42/42.90 -> [20726] ~left_apart_point(A39_1514_9, L40_1514_9), ~left_apart_point(A39_1514_9, reverse_line(L40_1514_9))
% 293.42/42.90
% 293.42/42.90 [20726] CLOSURE : ~left_apart_point(A39_1514_9, L40_1514_9)
% 293.42/42.90
% 293.42/42.90 [20570] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [20768] ~(left_apart_point(A39_1521_9, L40_1521_9) | left_apart_point(A39_1521_9, reverse_line(L40_1521_9)))
% 293.42/42.90
% 293.42/42.90 [20768] ALPHA_NOT_OR : ~(left_apart_point(A39_1521_9, L40_1521_9) | left_apart_point(A39_1521_9, reverse_line(L40_1521_9)))
% 293.42/42.90 -> [20771] ~left_apart_point(A39_1521_9, L40_1521_9), ~left_apart_point(A39_1521_9, reverse_line(L40_1521_9))
% 293.42/42.90
% 293.42/42.90 [20771] CLOSURE : ~left_apart_point(A39_1521_9, L40_1521_9)
% 293.42/42.90
% 293.42/42.90 [20413] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [23357] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.90
% 293.42/42.90 [23357] 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))))
% 293.42/42.90 -> [23362] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [23363] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90
% 293.42/42.90 [23362] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [23385] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [23386] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [23386] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [23385] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [23363] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [23366] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [23367] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [23367] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [23451] ~(left_apart_point(A39_1877_9, L40_1877_9) | left_apart_point(A39_1877_9, reverse_line(L40_1877_9)))
% 293.42/42.90
% 293.42/42.90 [23451] ALPHA_NOT_OR : ~(left_apart_point(A39_1877_9, L40_1877_9) | left_apart_point(A39_1877_9, reverse_line(L40_1877_9)))
% 293.42/42.90 -> [23455] ~left_apart_point(A39_1877_9, L40_1877_9), ~left_apart_point(A39_1877_9, reverse_line(L40_1877_9))
% 293.42/42.90
% 293.42/42.90 [23455] CLOSURE : ~left_apart_point(A39_1877_9, L40_1877_9)
% 293.42/42.90
% 293.42/42.90 [23366] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [23470] ~(left_apart_point(A39_1879_9, L40_1879_9) | left_apart_point(A39_1879_9, reverse_line(L40_1879_9)))
% 293.42/42.90
% 293.42/42.90 [23470] ALPHA_NOT_OR : ~(left_apart_point(A39_1879_9, L40_1879_9) | left_apart_point(A39_1879_9, reverse_line(L40_1879_9)))
% 293.42/42.90 -> [23472] ~left_apart_point(A39_1879_9, L40_1879_9), ~left_apart_point(A39_1879_9, reverse_line(L40_1879_9))
% 293.42/42.90
% 293.42/42.90 [23472] CLOSURE : ~left_apart_point(A39_1879_9, L40_1879_9)
% 293.42/42.90
% 293.42/42.90 [19904] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_187_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_187_6)))
% 293.42/42.90 -> [19913] unequally_directed_lines(skolem_N7979, N34_187_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_187_6))
% 293.42/42.90
% 293.42/42.90 [19913] 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)))))
% 293.42/42.90 -> [21829] ((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)))))
% 293.42/42.90
% 293.42/42.90 [21829] 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)))))
% 293.42/42.90 -> [21830] ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.90 -> [21831] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))
% 293.42/42.90
% 293.42/42.90 [21830] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.90 -> [21850] ~line(skolem_L7777)
% 293.42/42.90 -> [21851] ~line(line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.90
% 293.42/42.90 [21850] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [22012] ((unequally_directed_lines(skolem_N7979, M38_870_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_870_8))) => (left_convergent_lines(skolem_N7979, M38_870_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_870_8))))
% 293.42/42.90
% 293.42/42.90 [22012] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_870_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_870_8))) => (left_convergent_lines(skolem_N7979, M38_870_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_870_8))))
% 293.42/42.90 -> [22014] ~(unequally_directed_lines(skolem_N7979, M38_870_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_870_8)))
% 293.42/42.90 -> [22015] (left_convergent_lines(skolem_N7979, M38_870_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_870_8)))
% 293.42/42.90
% 293.42/42.90 [22014] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_870_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_870_8)))
% 293.42/42.90 -> [22039] ~unequally_directed_lines(skolem_N7979, M38_870_8)
% 293.42/42.90 -> [22040] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_870_8))
% 293.42/42.90
% 293.42/42.90 [22040] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_870_8))
% 293.42/42.90
% 293.42/42.90 [22039] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_870_8)
% 293.42/42.90
% 293.42/42.90 [22015] BETA_OR : (left_convergent_lines(skolem_N7979, M38_870_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_870_8)))
% 293.42/42.90 -> [22018] left_convergent_lines(skolem_N7979, M38_870_8)
% 293.42/42.90 -> [22019] left_convergent_lines(skolem_N7979, reverse_line(M38_870_8))
% 293.42/42.90
% 293.42/42.90 [22019] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [22166] ~(left_apart_point(A39_1697_9, L40_1697_9) | left_apart_point(A39_1697_9, reverse_line(L40_1697_9)))
% 293.42/42.90
% 293.42/42.90 [22166] ALPHA_NOT_OR : ~(left_apart_point(A39_1697_9, L40_1697_9) | left_apart_point(A39_1697_9, reverse_line(L40_1697_9)))
% 293.42/42.90 -> [22167] ~left_apart_point(A39_1697_9, L40_1697_9), ~left_apart_point(A39_1697_9, reverse_line(L40_1697_9))
% 293.42/42.90
% 293.42/42.90 [22167] CLOSURE : ~left_apart_point(A39_1697_9, L40_1697_9)
% 293.42/42.90
% 293.42/42.90 [22018] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [22213] ~(left_apart_point(A39_1702_9, L40_1703_9) | left_apart_point(A39_1702_9, reverse_line(L40_1703_9)))
% 293.42/42.90
% 293.42/42.90 [22213] ALPHA_NOT_OR : ~(left_apart_point(A39_1702_9, L40_1703_9) | left_apart_point(A39_1702_9, reverse_line(L40_1703_9)))
% 293.42/42.90 -> [22220] ~left_apart_point(A39_1702_9, L40_1703_9), ~left_apart_point(A39_1702_9, reverse_line(L40_1703_9))
% 293.42/42.90
% 293.42/42.90 [22220] CLOSURE : ~left_apart_point(A39_1702_9, L40_1703_9)
% 293.42/42.90
% 293.42/42.90 [21851] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [21952] ((unequally_directed_lines(skolem_N7979, M38_866_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_866_8))) => (left_convergent_lines(skolem_N7979, M38_866_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_866_8))))
% 293.42/42.90
% 293.42/42.90 [21952] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_866_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_866_8))) => (left_convergent_lines(skolem_N7979, M38_866_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_866_8))))
% 293.42/42.90 -> [21954] ~(unequally_directed_lines(skolem_N7979, M38_866_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_866_8)))
% 293.42/42.90 -> [21955] (left_convergent_lines(skolem_N7979, M38_866_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_866_8)))
% 293.42/42.90
% 293.42/42.90 [21954] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_866_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_866_8)))
% 293.42/42.90 -> [22025] ~unequally_directed_lines(skolem_N7979, M38_866_8)
% 293.42/42.90 -> [22026] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_866_8))
% 293.42/42.90
% 293.42/42.90 [22026] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_866_8))
% 293.42/42.90
% 293.42/42.90 [22025] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_866_8)
% 293.42/42.90
% 293.42/42.90 [21955] BETA_OR : (left_convergent_lines(skolem_N7979, M38_866_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_866_8)))
% 293.42/42.90 -> [21963] left_convergent_lines(skolem_N7979, M38_866_8)
% 293.42/42.90 -> [21964] left_convergent_lines(skolem_N7979, reverse_line(M38_866_8))
% 293.42/42.90
% 293.42/42.90 [21964] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [22134] ~(left_apart_point(A39_1691_9, L40_1691_9) | left_apart_point(A39_1691_9, reverse_line(L40_1691_9)))
% 293.42/42.90
% 293.42/42.90 [22134] ALPHA_NOT_OR : ~(left_apart_point(A39_1691_9, L40_1691_9) | left_apart_point(A39_1691_9, reverse_line(L40_1691_9)))
% 293.42/42.90 -> [22138] ~left_apart_point(A39_1691_9, L40_1691_9), ~left_apart_point(A39_1691_9, reverse_line(L40_1691_9))
% 293.42/42.90
% 293.42/42.90 [22138] CLOSURE : ~left_apart_point(A39_1691_9, L40_1691_9)
% 293.42/42.90
% 293.42/42.90 [21963] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [22177] ~(left_apart_point(A39_1699_9, L40_1699_9) | left_apart_point(A39_1699_9, reverse_line(L40_1699_9)))
% 293.42/42.90
% 293.42/42.90 [22177] ALPHA_NOT_OR : ~(left_apart_point(A39_1699_9, L40_1699_9) | left_apart_point(A39_1699_9, reverse_line(L40_1699_9)))
% 293.42/42.90 -> [22184] ~left_apart_point(A39_1699_9, L40_1699_9), ~left_apart_point(A39_1699_9, reverse_line(L40_1699_9))
% 293.42/42.90
% 293.42/42.90 [22184] CLOSURE : ~left_apart_point(A39_1699_9, L40_1699_9)
% 293.42/42.90
% 293.42/42.90 [21831] 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))))
% 293.42/42.90 -> [21835] unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.90 -> [21836] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.90
% 293.42/42.90 [21835] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.90
% 293.42/42.90 [21836] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [24281] ((unequally_directed_lines(skolem_N7979, M38_1022_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1022_8))) => (left_convergent_lines(skolem_N7979, M38_1022_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1022_8))))
% 293.42/42.90
% 293.42/42.90 [24281] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1022_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1022_8))) => (left_convergent_lines(skolem_N7979, M38_1022_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1022_8))))
% 293.42/42.90 -> [24283] ~(unequally_directed_lines(skolem_N7979, M38_1022_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1022_8)))
% 293.42/42.90 -> [24284] (left_convergent_lines(skolem_N7979, M38_1022_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1022_8)))
% 293.42/42.90
% 293.42/42.90 [24283] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1022_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1022_8)))
% 293.42/42.90 -> [24313] ~unequally_directed_lines(skolem_N7979, M38_1022_8)
% 293.42/42.90 -> [24314] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1022_8))
% 293.42/42.90
% 293.42/42.90 [24314] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1022_8))
% 293.42/42.90
% 293.42/42.90 [24313] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1022_8)
% 293.42/42.90
% 293.42/42.90 [24284] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1022_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1022_8)))
% 293.42/42.90 -> [24323] left_convergent_lines(skolem_N7979, M38_1022_8)
% 293.42/42.90 -> [24324] left_convergent_lines(skolem_N7979, reverse_line(M38_1022_8))
% 293.42/42.90
% 293.42/42.90 [24324] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [24520] ~(left_apart_point(A39_2039_9, L40_2039_9) | left_apart_point(A39_2039_9, reverse_line(L40_2039_9)))
% 293.42/42.90
% 293.42/42.90 [24520] ALPHA_NOT_OR : ~(left_apart_point(A39_2039_9, L40_2039_9) | left_apart_point(A39_2039_9, reverse_line(L40_2039_9)))
% 293.42/42.90 -> [24524] ~left_apart_point(A39_2039_9, L40_2039_9), ~left_apart_point(A39_2039_9, reverse_line(L40_2039_9))
% 293.42/42.90
% 293.42/42.90 [24524] CLOSURE : ~left_apart_point(A39_2039_9, L40_2039_9)
% 293.42/42.90
% 293.42/42.90 [24323] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [24574] ~(left_apart_point(A39_2045_9, L40_2045_9) | left_apart_point(A39_2045_9, reverse_line(L40_2045_9)))
% 293.42/42.90
% 293.42/42.90 [24574] ALPHA_NOT_OR : ~(left_apart_point(A39_2045_9, L40_2045_9) | left_apart_point(A39_2045_9, reverse_line(L40_2045_9)))
% 293.42/42.90 -> [24576] ~left_apart_point(A39_2045_9, L40_2045_9), ~left_apart_point(A39_2045_9, reverse_line(L40_2045_9))
% 293.42/42.90
% 293.42/42.90 [24576] CLOSURE : ~left_apart_point(A39_2045_9, L40_2045_9)
% 293.42/42.90
% 293.42/42.90 [216] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.90 -> [270] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.42/42.90 -> [271] ~~(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)))
% 293.42/42.90
% 293.42/42.90 [271] 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)))
% 293.42/42.90 -> [279] (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)))
% 293.42/42.90
% 293.42/42.90 [279] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.90 -> [288] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))
% 293.42/42.90 -> [289] ~~(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)))
% 293.42/42.90
% 293.42/42.90 [288] 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)))
% 293.42/42.90 -> [532] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 293.42/42.90 -> [533] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [533] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.90 -> [1068] ~distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.90
% 293.42/42.90 [1068] 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))))
% 293.42/42.90 -> [1508] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.90
% 293.42/42.90 [1508] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.90 -> [1509] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.90 -> [1510] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.90
% 293.42/42.90 [1509] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.90
% 293.42/42.90 [1510] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.90 -> [2878] distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.90 -> [2879] distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.90
% 293.42/42.90 [2879] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.90
% 293.42/42.90 [2878] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.90 -> [3201] ~distinct_lines(N27_43_3, N27_43_3)
% 293.42/42.90
% 293.42/42.90 [3201] 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))))
% 293.42/42.90 -> [3210] (distinct_lines(N27_43_3, N27_43_3) => (distinct_lines(N27_43_3, N27_43_3) | distinct_lines(N27_43_3, N27_43_3)))
% 293.42/42.90
% 293.42/42.90 [3210] 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)))
% 293.42/42.90 -> [3211] ~distinct_lines(N27_43_3, N27_43_3)
% 293.42/42.90 -> [3212] (distinct_lines(N27_43_3, N27_43_3) | distinct_lines(N27_43_3, N27_43_3))
% 293.42/42.90
% 293.42/42.90 [3212] BETA_OR : (distinct_lines(N27_43_3, N27_43_3) | distinct_lines(N27_43_3, N27_43_3))
% 293.42/42.90 -> [3215] distinct_lines(N27_43_3, N27_43_3)
% 293.42/42.90 -> [3216] distinct_lines(N27_43_3, N27_43_3)
% 293.42/42.90
% 293.42/42.90 [3215] CLOSURE : distinct_lines(N27_43_3, N27_43_3)
% 293.42/42.90
% 293.42/42.90 [3216] CLOSURE : distinct_lines(N27_43_3, N27_43_3)
% 293.42/42.90
% 293.42/42.90 [3211] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.90 -> [3224] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [3224] 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))))
% 293.42/42.90 -> [3256] (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))))
% 293.42/42.90
% 293.42/42.90 [3256] 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))))
% 293.42/42.90 -> [3257] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90 -> [3258] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.90
% 293.42/42.90 [3257] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [3258] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.90 -> [5010] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90 -> [5011] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [5011] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [5010] 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))))))
% 293.42/42.90 -> [6313] ((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)))))
% 293.42/42.90
% 293.42/42.90 [6313] 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)))))
% 293.42/42.90 -> [6315] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.90 -> [6316] ((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))))
% 293.42/42.90
% 293.42/42.90 [6315] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.90 -> [6358] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.90 -> [6359] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [6358] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.90
% 293.42/42.90 [6359] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [6316] 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))))
% 293.42/42.90 -> [10650] (unequally_directed_lines(skolem_M7878, N34_38_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_38_6)))
% 293.42/42.90 -> [10651] (unequally_directed_lines(skolem_N7979, N34_38_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_38_6)))
% 293.42/42.90
% 293.42/42.90 [10650] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_38_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_38_6)))
% 293.42/42.90 -> [10671] unequally_directed_lines(skolem_M7878, N34_38_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_38_6))
% 293.42/42.90
% 293.42/42.90 [10671] 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)))))
% 293.42/42.90 -> [10814] ((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)))))
% 293.42/42.90
% 293.42/42.90 [10814] 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)))))
% 293.42/42.90 -> [10816] ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.90 -> [10817] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 293.42/42.90
% 293.42/42.90 [10816] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.90 -> [10857] ~line(reverse_line(skolem_N7979))
% 293.42/42.90 -> [10858] ~line(reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [10858] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [11007] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.90
% 293.42/42.90 [11007] 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))))
% 293.42/42.90 -> [11008] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [11009] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90
% 293.42/42.90 [11008] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [11080] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [11081] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [11081] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [11080] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [11009] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [11012] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [11013] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [11013] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [11268] ~(left_apart_point(A39_397_9, L40_397_9) | left_apart_point(A39_397_9, reverse_line(L40_397_9)))
% 293.42/42.90
% 293.42/42.90 [11268] ALPHA_NOT_OR : ~(left_apart_point(A39_397_9, L40_397_9) | left_apart_point(A39_397_9, reverse_line(L40_397_9)))
% 293.42/42.90 -> [11269] ~left_apart_point(A39_397_9, L40_397_9), ~left_apart_point(A39_397_9, reverse_line(L40_397_9))
% 293.42/42.90
% 293.42/42.90 [11269] CLOSURE : ~left_apart_point(A39_397_9, L40_397_9)
% 293.42/42.90
% 293.42/42.90 [11012] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [11410] ~(left_apart_point(A39_422_9, L40_422_9) | left_apart_point(A39_422_9, reverse_line(L40_422_9)))
% 293.42/42.90
% 293.42/42.90 [11410] ALPHA_NOT_OR : ~(left_apart_point(A39_422_9, L40_422_9) | left_apart_point(A39_422_9, reverse_line(L40_422_9)))
% 293.42/42.90 -> [11416] ~left_apart_point(A39_422_9, L40_422_9), ~left_apart_point(A39_422_9, reverse_line(L40_422_9))
% 293.42/42.90
% 293.42/42.90 [11416] CLOSURE : ~left_apart_point(A39_422_9, L40_422_9)
% 293.42/42.90
% 293.42/42.90 [10857] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [11068] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.90
% 293.42/42.90 [11068] 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))))
% 293.42/42.90 -> [11071] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [11072] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90
% 293.42/42.90 [11072] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [11077] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [11078] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [11078] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [11345] ~(left_apart_point(A39_413_9, L40_413_9) | left_apart_point(A39_413_9, reverse_line(L40_413_9)))
% 293.42/42.90
% 293.42/42.90 [11345] ALPHA_NOT_OR : ~(left_apart_point(A39_413_9, L40_413_9) | left_apart_point(A39_413_9, reverse_line(L40_413_9)))
% 293.42/42.90 -> [11348] ~left_apart_point(A39_413_9, L40_413_9), ~left_apart_point(A39_413_9, reverse_line(L40_413_9))
% 293.42/42.90
% 293.42/42.90 [11348] CLOSURE : ~left_apart_point(A39_413_9, L40_413_9)
% 293.42/42.90
% 293.42/42.90 [11077] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [11399] ~(left_apart_point(A39_421_9, L40_421_9) | left_apart_point(A39_421_9, reverse_line(L40_421_9)))
% 293.42/42.90
% 293.42/42.90 [11399] ALPHA_NOT_OR : ~(left_apart_point(A39_421_9, L40_421_9) | left_apart_point(A39_421_9, reverse_line(L40_421_9)))
% 293.42/42.90 -> [11400] ~left_apart_point(A39_421_9, L40_421_9), ~left_apart_point(A39_421_9, reverse_line(L40_421_9))
% 293.42/42.90
% 293.42/42.90 [11400] CLOSURE : ~left_apart_point(A39_421_9, L40_421_9)
% 293.42/42.90
% 293.42/42.90 [11071] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [11133] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [11134] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [11134] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [11133] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [10817] 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))))
% 293.42/42.90 -> [10822] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.90 -> [10823] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 293.42/42.90
% 293.42/42.90 [10822] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [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)))))
% 293.42/42.90 -> [13002] ((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))))
% 293.42/42.90
% 293.42/42.90 [13002] 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))))
% 293.42/42.90 -> [13005] ~(unequally_directed_lines(skolem_M7878, M38_305_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_305_8)))
% 293.42/42.90 -> [13006] (left_convergent_lines(skolem_M7878, M38_305_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_305_8)))
% 293.42/42.90
% 293.42/42.90 [13006] BETA_OR : (left_convergent_lines(skolem_M7878, M38_305_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_305_8)))
% 293.42/42.90 -> [13010] left_convergent_lines(skolem_M7878, M38_305_8)
% 293.42/42.90 -> [13011] left_convergent_lines(skolem_M7878, reverse_line(M38_305_8))
% 293.42/42.90
% 293.42/42.90 [13011] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [13050] ~(left_apart_point(A39_589_9, L40_589_9) | left_apart_point(A39_589_9, reverse_line(L40_589_9)))
% 293.42/42.90
% 293.42/42.90 [13050] ALPHA_NOT_OR : ~(left_apart_point(A39_589_9, L40_589_9) | left_apart_point(A39_589_9, reverse_line(L40_589_9)))
% 293.42/42.90 -> [13052] ~left_apart_point(A39_589_9, L40_589_9), ~left_apart_point(A39_589_9, reverse_line(L40_589_9))
% 293.42/42.90
% 293.42/42.90 [13052] CLOSURE : ~left_apart_point(A39_589_9, L40_589_9)
% 293.42/42.90
% 293.42/42.90 [13010] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [13070] ~(left_apart_point(A39_592_9, L40_592_9) | left_apart_point(A39_592_9, reverse_line(L40_592_9)))
% 293.42/42.90
% 293.42/42.90 [13070] ALPHA_NOT_OR : ~(left_apart_point(A39_592_9, L40_592_9) | left_apart_point(A39_592_9, reverse_line(L40_592_9)))
% 293.42/42.90 -> [13073] ~left_apart_point(A39_592_9, L40_592_9), ~left_apart_point(A39_592_9, reverse_line(L40_592_9))
% 293.42/42.90
% 293.42/42.90 [13073] CLOSURE : ~left_apart_point(A39_592_9, L40_592_9)
% 293.42/42.90
% 293.42/42.90 [13005] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_305_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_305_8)))
% 293.42/42.90 -> [13023] ~unequally_directed_lines(skolem_M7878, M38_305_8)
% 293.42/42.90 -> [13024] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_305_8))
% 293.42/42.90
% 293.42/42.90 [13024] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_305_8))
% 293.42/42.90
% 293.42/42.90 [13023] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_305_8)
% 293.42/42.90
% 293.42/42.90 [10651] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_38_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_38_6)))
% 293.42/42.90 -> [10653] unequally_directed_lines(skolem_N7979, N34_38_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_38_6))
% 293.42/42.90
% 293.42/42.90 [10653] 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)))))
% 293.42/42.90 -> [10779] ((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)))))
% 293.42/42.90
% 293.42/42.90 [10779] 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)))))
% 293.42/42.90 -> [10784] ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.42/42.90 -> [10785] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 293.42/42.90
% 293.42/42.90 [10784] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.42/42.90 -> [10831] ~line(skolem_L7777)
% 293.42/42.90 -> [10832] ~line(line_connecting(skolem_B8181, skolem_C8282))
% 293.42/42.90
% 293.42/42.90 [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)))))
% 293.42/42.90 -> [11020] ((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))))
% 293.42/42.90
% 293.42/42.90 [11020] 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))))
% 293.42/42.90 -> [11022] ~(unequally_directed_lines(skolem_N7979, M38_204_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_204_8)))
% 293.42/42.90 -> [11023] (left_convergent_lines(skolem_N7979, M38_204_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_204_8)))
% 293.42/42.90
% 293.42/42.90 [11023] BETA_OR : (left_convergent_lines(skolem_N7979, M38_204_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_204_8)))
% 293.42/42.90 -> [11026] left_convergent_lines(skolem_N7979, M38_204_8)
% 293.42/42.90 -> [11027] left_convergent_lines(skolem_N7979, reverse_line(M38_204_8))
% 293.42/42.90
% 293.42/42.90 [11027] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [11282] ~(left_apart_point(A39_401_9, L40_401_9) | left_apart_point(A39_401_9, reverse_line(L40_401_9)))
% 293.42/42.90
% 293.42/42.90 [11282] ALPHA_NOT_OR : ~(left_apart_point(A39_401_9, L40_401_9) | left_apart_point(A39_401_9, reverse_line(L40_401_9)))
% 293.42/42.90 -> [11283] ~left_apart_point(A39_401_9, L40_401_9), ~left_apart_point(A39_401_9, reverse_line(L40_401_9))
% 293.42/42.90
% 293.42/42.90 [11283] CLOSURE : ~left_apart_point(A39_401_9, L40_401_9)
% 293.42/42.90
% 293.42/42.90 [11026] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [11355] ~(left_apart_point(A39_417_9, L40_417_9) | left_apart_point(A39_417_9, reverse_line(L40_417_9)))
% 293.42/42.90
% 293.42/42.90 [11355] ALPHA_NOT_OR : ~(left_apart_point(A39_417_9, L40_417_9) | left_apart_point(A39_417_9, reverse_line(L40_417_9)))
% 293.42/42.90 -> [11357] ~left_apart_point(A39_417_9, L40_417_9), ~left_apart_point(A39_417_9, reverse_line(L40_417_9))
% 293.42/42.90
% 293.42/42.90 [11357] CLOSURE : ~left_apart_point(A39_417_9, L40_417_9)
% 293.42/42.90
% 293.42/42.90 [11022] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_204_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_204_8)))
% 293.42/42.90 -> [11088] ~unequally_directed_lines(skolem_N7979, M38_204_8)
% 293.42/42.90 -> [11089] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_204_8))
% 293.42/42.90
% 293.42/42.90 [11089] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_204_8))
% 293.42/42.90
% 293.42/42.90 [11088] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_204_8)
% 293.42/42.90
% 293.42/42.90 [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)))))
% 293.42/42.90 -> [10929] ((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))))
% 293.42/42.90
% 293.42/42.90 [10929] 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))))
% 293.42/42.90 -> [10931] ~(unequally_directed_lines(skolem_N7979, M38_201_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_201_8)))
% 293.42/42.90 -> [10932] (left_convergent_lines(skolem_N7979, M38_201_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_201_8)))
% 293.42/42.90
% 293.42/42.90 [10931] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_201_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_201_8)))
% 293.42/42.90 -> [11031] ~unequally_directed_lines(skolem_N7979, M38_201_8)
% 293.42/42.90 -> [11032] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_201_8))
% 293.42/42.90
% 293.42/42.90 [11031] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_201_8)
% 293.42/42.90
% 293.42/42.90 [11032] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_201_8))
% 293.42/42.90
% 293.42/42.90 [10932] BETA_OR : (left_convergent_lines(skolem_N7979, M38_201_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_201_8)))
% 293.42/42.90 -> [10936] left_convergent_lines(skolem_N7979, M38_201_8)
% 293.42/42.90 -> [10937] left_convergent_lines(skolem_N7979, reverse_line(M38_201_8))
% 293.42/42.90
% 293.42/42.90 [10936] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [12271] ~(left_apart_point(A39_508_9, L40_508_9) | left_apart_point(A39_508_9, reverse_line(L40_508_9)))
% 293.42/42.90
% 293.42/42.90 [12271] ALPHA_NOT_OR : ~(left_apart_point(A39_508_9, L40_508_9) | left_apart_point(A39_508_9, reverse_line(L40_508_9)))
% 293.42/42.90 -> [12273] ~left_apart_point(A39_508_9, L40_508_9), ~left_apart_point(A39_508_9, reverse_line(L40_508_9))
% 293.42/42.90
% 293.42/42.90 [12273] CLOSURE : ~left_apart_point(A39_508_9, L40_508_9)
% 293.42/42.90
% 293.42/42.90 [10937] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [12314] ~(left_apart_point(A39_510_9, L40_510_9) | left_apart_point(A39_510_9, reverse_line(L40_510_9)))
% 293.42/42.90
% 293.42/42.90 [12314] ALPHA_NOT_OR : ~(left_apart_point(A39_510_9, L40_510_9) | left_apart_point(A39_510_9, reverse_line(L40_510_9)))
% 293.42/42.90 -> [12316] ~left_apart_point(A39_510_9, L40_510_9), ~left_apart_point(A39_510_9, reverse_line(L40_510_9))
% 293.42/42.90
% 293.42/42.90 [12316] CLOSURE : ~left_apart_point(A39_510_9, L40_510_9)
% 293.42/42.90
% 293.42/42.90 [10785] 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))))
% 293.42/42.90 -> [10789] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.42/42.90 -> [10790] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.42/42.90
% 293.42/42.90 [10789] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.42/42.90
% 293.42/42.90 [10790] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [17290] ((unequally_directed_lines(skolem_N7979, M38_574_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_574_8))) => (left_convergent_lines(skolem_N7979, M38_574_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_574_8))))
% 293.42/42.90
% 293.42/42.90 [17290] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_574_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_574_8))) => (left_convergent_lines(skolem_N7979, M38_574_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_574_8))))
% 293.42/42.90 -> [17292] ~(unequally_directed_lines(skolem_N7979, M38_574_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_574_8)))
% 293.42/42.90 -> [17293] (left_convergent_lines(skolem_N7979, M38_574_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_574_8)))
% 293.42/42.90
% 293.42/42.90 [17293] BETA_OR : (left_convergent_lines(skolem_N7979, M38_574_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_574_8)))
% 293.42/42.90 -> [17295] left_convergent_lines(skolem_N7979, M38_574_8)
% 293.42/42.90 -> [17296] left_convergent_lines(skolem_N7979, reverse_line(M38_574_8))
% 293.42/42.90
% 293.42/42.90 [17296] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [17646] ~(left_apart_point(A39_1129_9, L40_1129_9) | left_apart_point(A39_1129_9, reverse_line(L40_1129_9)))
% 293.42/42.90
% 293.42/42.90 [17646] ALPHA_NOT_OR : ~(left_apart_point(A39_1129_9, L40_1129_9) | left_apart_point(A39_1129_9, reverse_line(L40_1129_9)))
% 293.42/42.90 -> [17649] ~left_apart_point(A39_1129_9, L40_1129_9), ~left_apart_point(A39_1129_9, reverse_line(L40_1129_9))
% 293.42/42.90
% 293.42/42.90 [17649] CLOSURE : ~left_apart_point(A39_1129_9, L40_1129_9)
% 293.42/42.90
% 293.42/42.90 [17295] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [17724] ~(left_apart_point(A39_1141_9, L40_1141_9) | left_apart_point(A39_1141_9, reverse_line(L40_1141_9)))
% 293.42/42.90
% 293.42/42.90 [17724] ALPHA_NOT_OR : ~(left_apart_point(A39_1141_9, L40_1141_9) | left_apart_point(A39_1141_9, reverse_line(L40_1141_9)))
% 293.42/42.90 -> [17726] ~left_apart_point(A39_1141_9, L40_1141_9), ~left_apart_point(A39_1141_9, reverse_line(L40_1141_9))
% 293.42/42.90
% 293.42/42.90 [17726] CLOSURE : ~left_apart_point(A39_1141_9, L40_1141_9)
% 293.42/42.90
% 293.42/42.90 [17292] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_574_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_574_8)))
% 293.42/42.90 -> [17383] ~unequally_directed_lines(skolem_N7979, M38_574_8)
% 293.42/42.90 -> [17384] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_574_8))
% 293.42/42.90
% 293.42/42.90 [17384] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_574_8))
% 293.42/42.90
% 293.42/42.90 [17383] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_574_8)
% 293.42/42.90
% 293.42/42.90 [532] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.90 -> [942] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.90
% 293.42/42.90 [942] 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))))
% 293.42/42.90 -> [1000] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.90
% 293.42/42.90 [1000] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.90 -> [1004] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.90 -> [1005] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.90
% 293.42/42.90 [1004] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.90
% 293.42/42.90 [1005] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.90 -> [4164] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.90 -> [4165] distinct_points(skolem_C8282, skolem_B8181)
% 293.42/42.90
% 293.42/42.90 [4164] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.90
% 293.42/42.90 [4165] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.90 -> [5857] ~distinct_lines(N27_173_3, N27_173_3)
% 293.42/42.90
% 293.42/42.90 [5857] 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))))
% 293.42/42.90 -> [5923] (distinct_lines(N27_173_3, N27_173_3) => (distinct_lines(N27_173_3, N27_173_3) | distinct_lines(N27_173_3, N27_173_3)))
% 293.42/42.90
% 293.42/42.90 [5923] BETA_IMPLY : (distinct_lines(N27_173_3, N27_173_3) => (distinct_lines(N27_173_3, N27_173_3) | distinct_lines(N27_173_3, N27_173_3)))
% 293.42/42.90 -> [5924] ~distinct_lines(N27_173_3, N27_173_3)
% 293.42/42.90 -> [5925] (distinct_lines(N27_173_3, N27_173_3) | distinct_lines(N27_173_3, N27_173_3))
% 293.42/42.90
% 293.42/42.90 [5925] BETA_OR : (distinct_lines(N27_173_3, N27_173_3) | distinct_lines(N27_173_3, N27_173_3))
% 293.42/42.90 -> [5928] distinct_lines(N27_173_3, N27_173_3)
% 293.42/42.90 -> [5929] distinct_lines(N27_173_3, N27_173_3)
% 293.42/42.90
% 293.42/42.90 [5928] CLOSURE : distinct_lines(N27_173_3, N27_173_3)
% 293.42/42.90
% 293.42/42.90 [5929] CLOSURE : distinct_lines(N27_173_3, N27_173_3)
% 293.42/42.90
% 293.42/42.90 [5924] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.90 -> [6152] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [6152] 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))))
% 293.42/42.90 -> [6351] (unequally_directed_lines(skolem_L7777, skolem_M7878) => (unequally_directed_lines(skolem_L7777, skolem_M7878) | unequally_directed_lines(skolem_M7878, skolem_M7878)))
% 293.42/42.90
% 293.42/42.90 [6351] BETA_IMPLY : (unequally_directed_lines(skolem_L7777, skolem_M7878) => (unequally_directed_lines(skolem_L7777, skolem_M7878) | unequally_directed_lines(skolem_M7878, skolem_M7878)))
% 293.42/42.90 -> [6354] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [6355] (unequally_directed_lines(skolem_L7777, skolem_M7878) | unequally_directed_lines(skolem_M7878, skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [6354] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [6355] BETA_OR : (unequally_directed_lines(skolem_L7777, skolem_M7878) | unequally_directed_lines(skolem_M7878, skolem_M7878))
% 293.42/42.90 -> [9357] unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [9358] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [9358] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [9357] 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))))))
% 293.42/42.90 -> [9532] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => ((unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))) | (unequally_directed_lines(skolem_M7878, line_connecting(skolem_A8080, skolem_B8181)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))))
% 293.42/42.90
% 293.42/42.90 [9532] 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_A8080, skolem_B8181)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))) | (unequally_directed_lines(skolem_M7878, line_connecting(skolem_A8080, skolem_B8181)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))))
% 293.42/42.90 -> [9533] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [9534] ((unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))) | (unequally_directed_lines(skolem_M7878, line_connecting(skolem_A8080, skolem_B8181)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))))
% 293.42/42.90
% 293.42/42.90 [9533] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [9560] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [9561] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [9561] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [9560] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [9534] 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)))) | (unequally_directed_lines(skolem_M7878, line_connecting(skolem_A8080, skolem_B8181)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))))
% 293.42/42.90 -> [12852] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))
% 293.42/42.90 -> [12853] (unequally_directed_lines(skolem_M7878, line_connecting(skolem_A8080, skolem_B8181)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))
% 293.42/42.90
% 293.42/42.90 [12852] ALPHA_AND : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))
% 293.42/42.90 -> [12938] unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)), unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.90
% 293.42/42.90 [12938] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.90
% 293.42/42.90 [12858] 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)))))
% 293.42/42.90 -> [18120] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.90
% 293.42/42.90 [18120] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.90 -> [18121] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.90 -> [18122] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.90
% 293.42/42.90 [18122] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [18126] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.90 -> [18127] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [18126] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [18127] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [19149] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.90
% 293.42/42.90 [19149] 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))))
% 293.42/42.90 -> [19151] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [19152] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90
% 293.42/42.90 [19152] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [19155] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [19156] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [19155] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [19231] ~(left_apart_point(A39_1315_9, L40_1315_9) | left_apart_point(A39_1315_9, reverse_line(L40_1315_9)))
% 293.42/42.90
% 293.42/42.90 [19231] ALPHA_NOT_OR : ~(left_apart_point(A39_1315_9, L40_1315_9) | left_apart_point(A39_1315_9, reverse_line(L40_1315_9)))
% 293.42/42.90 -> [19232] ~left_apart_point(A39_1315_9, L40_1315_9), ~left_apart_point(A39_1315_9, reverse_line(L40_1315_9))
% 293.42/42.90
% 293.42/42.90 [19232] CLOSURE : ~left_apart_point(A39_1315_9, L40_1315_9)
% 293.42/42.90
% 293.42/42.90 [19156] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [19237] ~(left_apart_point(A39_1317_9, L40_1317_9) | left_apart_point(A39_1317_9, reverse_line(L40_1317_9)))
% 293.42/42.90
% 293.42/42.90 [19237] ALPHA_NOT_OR : ~(left_apart_point(A39_1317_9, L40_1317_9) | left_apart_point(A39_1317_9, reverse_line(L40_1317_9)))
% 293.42/42.90 -> [19240] ~left_apart_point(A39_1317_9, L40_1317_9), ~left_apart_point(A39_1317_9, reverse_line(L40_1317_9))
% 293.42/42.90
% 293.42/42.90 [19240] CLOSURE : ~left_apart_point(A39_1317_9, L40_1317_9)
% 293.42/42.90
% 293.42/42.90 [19151] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [19178] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [19179] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [19179] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [19178] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [18121] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.90 -> [18143] ~line(skolem_M7878)
% 293.42/42.90 -> [18144] ~line(skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [18143] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [18702] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.90
% 293.42/42.90 [18702] 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))))
% 293.42/42.90 -> [18703] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [18704] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90
% 293.42/42.90 [18704] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [18707] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [18708] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [18708] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [18881] ~(left_apart_point(A39_1274_9, L40_1274_9) | left_apart_point(A39_1274_9, reverse_line(L40_1274_9)))
% 293.42/42.90
% 293.42/42.90 [18881] ALPHA_NOT_OR : ~(left_apart_point(A39_1274_9, L40_1274_9) | left_apart_point(A39_1274_9, reverse_line(L40_1274_9)))
% 293.42/42.90 -> [18882] ~left_apart_point(A39_1274_9, L40_1274_9), ~left_apart_point(A39_1274_9, reverse_line(L40_1274_9))
% 293.42/42.90
% 293.42/42.90 [18882] CLOSURE : ~left_apart_point(A39_1274_9, L40_1274_9)
% 293.42/42.90
% 293.42/42.90 [18707] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [18997] ~(left_apart_point(A39_1284_9, L40_1284_9) | left_apart_point(A39_1284_9, reverse_line(L40_1284_9)))
% 293.42/42.90
% 293.42/42.90 [18997] ALPHA_NOT_OR : ~(left_apart_point(A39_1284_9, L40_1284_9) | left_apart_point(A39_1284_9, reverse_line(L40_1284_9)))
% 293.42/42.90 -> [18998] ~left_apart_point(A39_1284_9, L40_1284_9), ~left_apart_point(A39_1284_9, reverse_line(L40_1284_9))
% 293.42/42.90
% 293.42/42.90 [18998] CLOSURE : ~left_apart_point(A39_1284_9, L40_1284_9)
% 293.42/42.90
% 293.42/42.90 [18703] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [18753] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [18754] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [18754] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [18753] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [18144] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [18787] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.90
% 293.42/42.90 [18787] 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))))
% 293.42/42.90 -> [18790] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [18791] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90
% 293.42/42.90 [18791] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [18793] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [18794] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [18793] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [19129] ~(left_apart_point(A39_1299_9, L40_1299_9) | left_apart_point(A39_1299_9, reverse_line(L40_1299_9)))
% 293.42/42.90
% 293.42/42.90 [19129] ALPHA_NOT_OR : ~(left_apart_point(A39_1299_9, L40_1299_9) | left_apart_point(A39_1299_9, reverse_line(L40_1299_9)))
% 293.42/42.90 -> [19133] ~left_apart_point(A39_1299_9, L40_1299_9), ~left_apart_point(A39_1299_9, reverse_line(L40_1299_9))
% 293.42/42.90
% 293.42/42.90 [19133] CLOSURE : ~left_apart_point(A39_1299_9, L40_1299_9)
% 293.42/42.90
% 293.42/42.90 [18794] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [19136] ~(left_apart_point(A39_1301_9, L40_1301_9) | left_apart_point(A39_1301_9, reverse_line(L40_1301_9)))
% 293.42/42.90
% 293.42/42.90 [19136] ALPHA_NOT_OR : ~(left_apart_point(A39_1301_9, L40_1301_9) | left_apart_point(A39_1301_9, reverse_line(L40_1301_9)))
% 293.42/42.90 -> [19140] ~left_apart_point(A39_1301_9, L40_1301_9), ~left_apart_point(A39_1301_9, reverse_line(L40_1301_9))
% 293.42/42.90
% 293.42/42.90 [19140] CLOSURE : ~left_apart_point(A39_1301_9, L40_1301_9)
% 293.42/42.90
% 293.42/42.90 [18790] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [18828] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [18829] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [18829] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [18828] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [289] 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)))
% 293.42/42.90 -> [295] (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)))
% 293.42/42.90
% 293.42/42.90 [295] 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)))
% 293.42/42.90 -> [322] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 293.42/42.90 -> [323] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [322] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.90 -> [352] ~distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.90
% 293.42/42.90 [352] 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))))
% 293.42/42.90 -> [379] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.90
% 293.42/42.90 [379] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.90 -> [380] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.90 -> [381] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.90
% 293.42/42.90 [380] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.90
% 293.42/42.90 [381] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.90 -> [3614] distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.90 -> [3615] distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.90
% 293.42/42.90 [3615] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.90
% 293.42/42.90 [3614] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.90 -> [4521] ~distinct_lines(N27_120_3, N27_120_3)
% 293.42/42.90
% 293.42/42.90 [4521] 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))))
% 293.42/42.90 -> [4713] (distinct_lines(N27_120_3, N27_120_3) => (distinct_lines(N27_120_3, N27_120_3) | distinct_lines(N27_120_3, N27_120_3)))
% 293.42/42.90
% 293.42/42.90 [4713] BETA_IMPLY : (distinct_lines(N27_120_3, N27_120_3) => (distinct_lines(N27_120_3, N27_120_3) | distinct_lines(N27_120_3, N27_120_3)))
% 293.42/42.90 -> [4714] ~distinct_lines(N27_120_3, N27_120_3)
% 293.42/42.90 -> [4715] (distinct_lines(N27_120_3, N27_120_3) | distinct_lines(N27_120_3, N27_120_3))
% 293.42/42.90
% 293.42/42.90 [4715] BETA_OR : (distinct_lines(N27_120_3, N27_120_3) | distinct_lines(N27_120_3, N27_120_3))
% 293.42/42.90 -> [4716] distinct_lines(N27_120_3, N27_120_3)
% 293.42/42.90 -> [4717] distinct_lines(N27_120_3, N27_120_3)
% 293.42/42.90
% 293.42/42.90 [4717] CLOSURE : distinct_lines(N27_120_3, N27_120_3)
% 293.42/42.90
% 293.42/42.90 [4716] CLOSURE : distinct_lines(N27_120_3, N27_120_3)
% 293.42/42.90
% 293.42/42.90 [4714] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.90 -> [4923] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [4923] 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))))
% 293.42/42.90 -> [5012] (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))))
% 293.42/42.90
% 293.42/42.90 [5012] 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))))
% 293.42/42.90 -> [5013] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90 -> [5014] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.90
% 293.42/42.90 [5013] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [5014] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.90 -> [7148] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90 -> [7149] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [7149] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [7148] 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))))))
% 293.42/42.90 -> [9076] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_93_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_93_6))) | (unequally_directed_lines(skolem_N7979, N34_93_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_93_6)))))
% 293.42/42.90
% 293.42/42.90 [9076] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_93_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_93_6))) | (unequally_directed_lines(skolem_N7979, N34_93_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_93_6)))))
% 293.42/42.90 -> [9078] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.90 -> [9079] ((unequally_directed_lines(skolem_M7878, N34_93_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_93_6))) | (unequally_directed_lines(skolem_N7979, N34_93_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_93_6))))
% 293.42/42.90
% 293.42/42.90 [9078] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.90 -> [10626] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.90 -> [10627] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [10626] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.90
% 293.42/42.90 [10627] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [9079] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_93_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_93_6))) | (unequally_directed_lines(skolem_N7979, N34_93_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_93_6))))
% 293.42/42.90 -> [15013] (unequally_directed_lines(skolem_M7878, N34_93_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_93_6)))
% 293.42/42.90 -> [15014] (unequally_directed_lines(skolem_N7979, N34_93_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_93_6)))
% 293.42/42.90
% 293.42/42.90 [15014] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_93_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_93_6)))
% 293.42/42.90 -> [15015] unequally_directed_lines(skolem_N7979, N34_93_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_93_6))
% 293.42/42.90
% 293.42/42.90 [15015] 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)))))
% 293.42/42.90 -> [15179] ((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)))))
% 293.42/42.90
% 293.42/42.90 [15179] 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)))))
% 293.42/42.90 -> [15185] ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.90 -> [15186] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))
% 293.42/42.90
% 293.42/42.90 [15185] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.90 -> [15198] ~line(skolem_L7777)
% 293.42/42.90 -> [15199] ~line(line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.90
% 293.42/42.90 [15199] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [15227] ((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))))
% 293.42/42.90
% 293.42/42.90 [15227] 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))))
% 293.42/42.90 -> [15231] ~(unequally_directed_lines(skolem_N7979, M38_443_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_443_8)))
% 293.42/42.90 -> [15232] (left_convergent_lines(skolem_N7979, M38_443_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_443_8)))
% 293.42/42.90
% 293.42/42.90 [15232] BETA_OR : (left_convergent_lines(skolem_N7979, M38_443_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_443_8)))
% 293.42/42.90 -> [15238] left_convergent_lines(skolem_N7979, M38_443_8)
% 293.42/42.90 -> [15239] left_convergent_lines(skolem_N7979, reverse_line(M38_443_8))
% 293.42/42.90
% 293.42/42.90 [15239] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [15288] ~(left_apart_point(A39_858_9, L40_858_9) | left_apart_point(A39_858_9, reverse_line(L40_858_9)))
% 293.42/42.90
% 293.42/42.90 [15288] ALPHA_NOT_OR : ~(left_apart_point(A39_858_9, L40_858_9) | left_apart_point(A39_858_9, reverse_line(L40_858_9)))
% 293.42/42.90 -> [15291] ~left_apart_point(A39_858_9, L40_858_9), ~left_apart_point(A39_858_9, reverse_line(L40_858_9))
% 293.42/42.90
% 293.42/42.90 [15291] CLOSURE : ~left_apart_point(A39_858_9, L40_858_9)
% 293.42/42.90
% 293.42/42.90 [15238] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [15300] ~(left_apart_point(A39_860_9, L40_860_9) | left_apart_point(A39_860_9, reverse_line(L40_860_9)))
% 293.42/42.90
% 293.42/42.90 [15300] ALPHA_NOT_OR : ~(left_apart_point(A39_860_9, L40_860_9) | left_apart_point(A39_860_9, reverse_line(L40_860_9)))
% 293.42/42.90 -> [15301] ~left_apart_point(A39_860_9, L40_860_9), ~left_apart_point(A39_860_9, reverse_line(L40_860_9))
% 293.42/42.90
% 293.42/42.90 [15301] CLOSURE : ~left_apart_point(A39_860_9, L40_860_9)
% 293.42/42.90
% 293.42/42.90 [15231] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_443_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_443_8)))
% 293.42/42.90 -> [15253] ~unequally_directed_lines(skolem_N7979, M38_443_8)
% 293.42/42.90 -> [15254] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_443_8))
% 293.42/42.90
% 293.42/42.90 [15254] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_443_8))
% 293.42/42.90
% 293.42/42.90 [15253] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_443_8)
% 293.42/42.90
% 293.42/42.90 [15198] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [15245] ((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))))
% 293.42/42.90
% 293.42/42.90 [15245] 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))))
% 293.42/42.90 -> [15246] ~(unequally_directed_lines(skolem_N7979, M38_445_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_445_8)))
% 293.42/42.90 -> [15247] (left_convergent_lines(skolem_N7979, M38_445_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_445_8)))
% 293.42/42.90
% 293.42/42.90 [15247] BETA_OR : (left_convergent_lines(skolem_N7979, M38_445_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_445_8)))
% 293.42/42.90 -> [15248] left_convergent_lines(skolem_N7979, M38_445_8)
% 293.42/42.90 -> [15249] left_convergent_lines(skolem_N7979, reverse_line(M38_445_8))
% 293.42/42.90
% 293.42/42.90 [15249] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [15298] ~(left_apart_point(A39_859_9, L40_859_9) | left_apart_point(A39_859_9, reverse_line(L40_859_9)))
% 293.42/42.90
% 293.42/42.90 [15298] ALPHA_NOT_OR : ~(left_apart_point(A39_859_9, L40_859_9) | left_apart_point(A39_859_9, reverse_line(L40_859_9)))
% 293.42/42.90 -> [15299] ~left_apart_point(A39_859_9, L40_859_9), ~left_apart_point(A39_859_9, reverse_line(L40_859_9))
% 293.42/42.90
% 293.42/42.90 [15299] CLOSURE : ~left_apart_point(A39_859_9, L40_859_9)
% 293.42/42.90
% 293.42/42.90 [15248] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [15305] ~(left_apart_point(A39_862_9, L40_862_9) | left_apart_point(A39_862_9, reverse_line(L40_862_9)))
% 293.42/42.90
% 293.42/42.90 [15305] ALPHA_NOT_OR : ~(left_apart_point(A39_862_9, L40_862_9) | left_apart_point(A39_862_9, reverse_line(L40_862_9)))
% 293.42/42.90 -> [15309] ~left_apart_point(A39_862_9, L40_862_9), ~left_apart_point(A39_862_9, reverse_line(L40_862_9))
% 293.42/42.90
% 293.42/42.90 [15309] CLOSURE : ~left_apart_point(A39_862_9, L40_862_9)
% 293.42/42.90
% 293.42/42.90 [15246] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_445_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_445_8)))
% 293.42/42.90 -> [15263] ~unequally_directed_lines(skolem_N7979, M38_445_8)
% 293.42/42.90 -> [15264] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_445_8))
% 293.42/42.90
% 293.42/42.90 [15264] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_445_8))
% 293.42/42.90
% 293.42/42.90 [15263] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_445_8)
% 293.42/42.90
% 293.42/42.90 [15186] 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))))
% 293.42/42.90 -> [15189] unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.90 -> [15190] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.90
% 293.42/42.90 [15189] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.90
% 293.42/42.90 [15190] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [17675] ((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))))
% 293.42/42.90
% 293.42/42.90 [17675] 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))))
% 293.42/42.90 -> [17677] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.90 -> [17678] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.90
% 293.42/42.90 [17678] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.90 -> [17683] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.90 -> [17684] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [17683] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [18545] ~(left_apart_point(A39_1234_9, L40_1234_9) | left_apart_point(A39_1234_9, reverse_line(L40_1234_9)))
% 293.42/42.90
% 293.42/42.90 [18545] ALPHA_NOT_OR : ~(left_apart_point(A39_1234_9, L40_1234_9) | left_apart_point(A39_1234_9, reverse_line(L40_1234_9)))
% 293.42/42.90 -> [18548] ~left_apart_point(A39_1234_9, L40_1234_9), ~left_apart_point(A39_1234_9, reverse_line(L40_1234_9))
% 293.42/42.90
% 293.42/42.90 [18548] CLOSURE : ~left_apart_point(A39_1234_9, L40_1234_9)
% 293.42/42.90
% 293.42/42.90 [17684] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [18652] ~(left_apart_point(A39_1245_9, L40_1245_9) | left_apart_point(A39_1245_9, reverse_line(L40_1245_9)))
% 293.42/42.90
% 293.42/42.90 [18652] ALPHA_NOT_OR : ~(left_apart_point(A39_1245_9, L40_1245_9) | left_apart_point(A39_1245_9, reverse_line(L40_1245_9)))
% 293.42/42.90 -> [18655] ~left_apart_point(A39_1245_9, L40_1245_9), ~left_apart_point(A39_1245_9, reverse_line(L40_1245_9))
% 293.42/42.90
% 293.42/42.90 [18655] CLOSURE : ~left_apart_point(A39_1245_9, L40_1245_9)
% 293.42/42.90
% 293.42/42.90 [17677] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.90 -> [18600] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.90 -> [18601] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [18601] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [18600] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.90
% 293.42/42.90 [15013] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_93_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_93_6)))
% 293.42/42.90 -> [15028] unequally_directed_lines(skolem_M7878, N34_93_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_93_6))
% 293.42/42.90
% 293.42/42.90 [15028] 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)))))
% 293.42/42.90 -> [15308] ((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)))))
% 293.42/42.90
% 293.42/42.90 [15308] 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)))))
% 293.42/42.90 -> [15311] ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.90 -> [15312] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 293.42/42.90
% 293.42/42.90 [15311] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.90 -> [15340] ~line(reverse_line(skolem_N7979))
% 293.42/42.90 -> [15341] ~line(reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [15340] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [15405] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.90
% 293.42/42.90 [15405] 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))))
% 293.42/42.90 -> [15406] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [15407] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90
% 293.42/42.90 [15407] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [15413] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [15414] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [15414] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [15437] ~(left_apart_point(A39_876_9, L40_876_9) | left_apart_point(A39_876_9, reverse_line(L40_876_9)))
% 293.42/42.90
% 293.42/42.90 [15437] ALPHA_NOT_OR : ~(left_apart_point(A39_876_9, L40_876_9) | left_apart_point(A39_876_9, reverse_line(L40_876_9)))
% 293.42/42.90 -> [15442] ~left_apart_point(A39_876_9, L40_876_9), ~left_apart_point(A39_876_9, reverse_line(L40_876_9))
% 293.42/42.90
% 293.42/42.90 [15442] CLOSURE : ~left_apart_point(A39_876_9, L40_876_9)
% 293.42/42.90
% 293.42/42.90 [15413] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [15451] ~(left_apart_point(A39_877_9, L40_877_9) | left_apart_point(A39_877_9, reverse_line(L40_877_9)))
% 293.42/42.90
% 293.42/42.90 [15451] ALPHA_NOT_OR : ~(left_apart_point(A39_877_9, L40_877_9) | left_apart_point(A39_877_9, reverse_line(L40_877_9)))
% 293.42/42.90 -> [15454] ~left_apart_point(A39_877_9, L40_877_9), ~left_apart_point(A39_877_9, reverse_line(L40_877_9))
% 293.42/42.90
% 293.42/42.90 [15454] CLOSURE : ~left_apart_point(A39_877_9, L40_877_9)
% 293.42/42.90
% 293.42/42.90 [15406] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [15417] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [15418] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [15418] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [15417] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [15341] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [15585] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.90
% 293.42/42.90 [15585] 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))))
% 293.42/42.90 -> [15587] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [15588] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90
% 293.42/42.90 [15588] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [15591] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [15592] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [15592] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [15766] ~(left_apart_point(A39_909_9, L40_909_9) | left_apart_point(A39_909_9, reverse_line(L40_909_9)))
% 293.42/42.90
% 293.42/42.90 [15766] ALPHA_NOT_OR : ~(left_apart_point(A39_909_9, L40_909_9) | left_apart_point(A39_909_9, reverse_line(L40_909_9)))
% 293.42/42.90 -> [15768] ~left_apart_point(A39_909_9, L40_909_9), ~left_apart_point(A39_909_9, reverse_line(L40_909_9))
% 293.42/42.90
% 293.42/42.90 [15768] CLOSURE : ~left_apart_point(A39_909_9, L40_909_9)
% 293.42/42.90
% 293.42/42.90 [15591] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [15810] ~(left_apart_point(A39_911_9, L40_911_9) | left_apart_point(A39_911_9, reverse_line(L40_911_9)))
% 293.42/42.90
% 293.42/42.90 [15810] ALPHA_NOT_OR : ~(left_apart_point(A39_911_9, L40_911_9) | left_apart_point(A39_911_9, reverse_line(L40_911_9)))
% 293.42/42.90 -> [15811] ~left_apart_point(A39_911_9, L40_911_9), ~left_apart_point(A39_911_9, reverse_line(L40_911_9))
% 293.42/42.90
% 293.42/42.90 [15811] CLOSURE : ~left_apart_point(A39_911_9, L40_911_9)
% 293.42/42.90
% 293.42/42.90 [15587] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [15619] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [15620] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [15620] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [15619] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [15312] 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))))
% 293.42/42.90 -> [15316] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.90 -> [15317] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 293.42/42.90
% 293.42/42.90 [15316] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [15317] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [18572] ((unequally_directed_lines(skolem_M7878, M38_646_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_646_8))) => (left_convergent_lines(skolem_M7878, M38_646_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_646_8))))
% 293.42/42.90
% 293.42/42.90 [18572] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_646_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_646_8))) => (left_convergent_lines(skolem_M7878, M38_646_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_646_8))))
% 293.42/42.90 -> [18577] ~(unequally_directed_lines(skolem_M7878, M38_646_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_646_8)))
% 293.42/42.90 -> [18578] (left_convergent_lines(skolem_M7878, M38_646_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_646_8)))
% 293.42/42.90
% 293.42/42.90 [18577] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_646_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_646_8)))
% 293.42/42.90 -> [18591] ~unequally_directed_lines(skolem_M7878, M38_646_8)
% 293.42/42.90 -> [18592] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_646_8))
% 293.42/42.90
% 293.42/42.90 [18592] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_646_8))
% 293.42/42.90
% 293.42/42.90 [18591] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_646_8)
% 293.42/42.90
% 293.42/42.90 [18578] BETA_OR : (left_convergent_lines(skolem_M7878, M38_646_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_646_8)))
% 293.42/42.90 -> [18581] left_convergent_lines(skolem_M7878, M38_646_8)
% 293.42/42.90 -> [18582] left_convergent_lines(skolem_M7878, reverse_line(M38_646_8))
% 293.42/42.90
% 293.42/42.90 [18582] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [18631] ~(left_apart_point(A39_1242_9, L40_1242_9) | left_apart_point(A39_1242_9, reverse_line(L40_1242_9)))
% 293.42/42.90
% 293.42/42.90 [18631] ALPHA_NOT_OR : ~(left_apart_point(A39_1242_9, L40_1242_9) | left_apart_point(A39_1242_9, reverse_line(L40_1242_9)))
% 293.42/42.90 -> [18632] ~left_apart_point(A39_1242_9, L40_1242_9), ~left_apart_point(A39_1242_9, reverse_line(L40_1242_9))
% 293.42/42.90
% 293.42/42.90 [18632] CLOSURE : ~left_apart_point(A39_1242_9, L40_1242_9)
% 293.42/42.90
% 293.42/42.90 [18581] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [18670] ~(left_apart_point(A39_1248_9, L40_1248_9) | left_apart_point(A39_1248_9, reverse_line(L40_1248_9)))
% 293.42/42.90
% 293.42/42.90 [18670] ALPHA_NOT_OR : ~(left_apart_point(A39_1248_9, L40_1248_9) | left_apart_point(A39_1248_9, reverse_line(L40_1248_9)))
% 293.42/42.90 -> [18671] ~left_apart_point(A39_1248_9, L40_1248_9), ~left_apart_point(A39_1248_9, reverse_line(L40_1248_9))
% 293.42/42.90
% 293.42/42.90 [18671] CLOSURE : ~left_apart_point(A39_1248_9, L40_1248_9)
% 293.42/42.90
% 293.42/42.90 [323] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.90 -> [489] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.90
% 293.42/42.90 [489] 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))))
% 293.42/42.90 -> [1071] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.90
% 293.42/42.90 [1071] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.90 -> [1073] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.90 -> [1074] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.90
% 293.42/42.90 [1073] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.90
% 293.42/42.90 [1074] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.90 -> [4273] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.90 -> [4274] distinct_points(skolem_C8282, skolem_B8181)
% 293.42/42.90
% 293.42/42.90 [4273] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.90
% 293.42/42.90 [4274] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.90 -> [4313] ~distinct_lines(N27_102_3, N27_102_3)
% 293.42/42.90
% 293.42/42.90 [4313] 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))))
% 293.42/42.90 -> [4329] (distinct_lines(N27_102_3, N27_102_3) => (distinct_lines(N27_102_3, N27_102_3) | distinct_lines(N27_102_3, N27_102_3)))
% 293.42/42.90
% 293.42/42.90 [4329] 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)))
% 293.42/42.90 -> [4330] ~distinct_lines(N27_102_3, N27_102_3)
% 293.42/42.90 -> [4331] (distinct_lines(N27_102_3, N27_102_3) | distinct_lines(N27_102_3, N27_102_3))
% 293.42/42.90
% 293.42/42.90 [4331] BETA_OR : (distinct_lines(N27_102_3, N27_102_3) | distinct_lines(N27_102_3, N27_102_3))
% 293.42/42.90 -> [4335] distinct_lines(N27_102_3, N27_102_3)
% 293.42/42.90 -> [4336] distinct_lines(N27_102_3, N27_102_3)
% 293.42/42.90
% 293.42/42.90 [4336] CLOSURE : distinct_lines(N27_102_3, N27_102_3)
% 293.42/42.90
% 293.42/42.90 [4335] CLOSURE : distinct_lines(N27_102_3, N27_102_3)
% 293.42/42.90
% 293.42/42.90 [4330] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.90 -> [4367] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [4367] 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))))
% 293.42/42.90 -> [4380] (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))))
% 293.42/42.90
% 293.42/42.90 [4380] 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))))
% 293.42/42.90 -> [4381] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90 -> [4382] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.90
% 293.42/42.90 [4381] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [4382] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.90 -> [4558] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90 -> [4559] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [4559] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [4558] 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))))))
% 293.42/42.90 -> [5631] ((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)))))
% 293.42/42.90
% 293.42/42.90 [5631] 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)))))
% 293.42/42.90 -> [5632] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.90 -> [5633] ((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))))
% 293.42/42.90
% 293.42/42.90 [5632] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.90 -> [5689] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.90 -> [5690] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [5690] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [5689] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.90
% 293.42/42.90 [5633] 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))))
% 293.42/42.90 -> [9062] (unequally_directed_lines(skolem_M7878, N34_29_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_29_6)))
% 293.42/42.90 -> [9063] (unequally_directed_lines(skolem_N7979, N34_29_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_29_6)))
% 293.42/42.90
% 293.42/42.90 [9062] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_29_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_29_6)))
% 293.42/42.90 -> [9138] unequally_directed_lines(skolem_M7878, N34_29_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_29_6))
% 293.42/42.90
% 293.42/42.90 [9138] 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)))))
% 293.42/42.90 -> [12376] ((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)))))
% 293.42/42.90
% 293.42/42.90 [12376] 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)))))
% 293.42/42.90 -> [12377] ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.42/42.90 -> [12378] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 293.42/42.90
% 293.42/42.90 [12378] 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))))
% 293.42/42.90 -> [12385] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.42/42.90 -> [12386] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.42/42.90
% 293.42/42.90 [12385] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.42/42.90
% 293.42/42.90 [12386] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [13161] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.90
% 293.42/42.90 [13161] 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))))
% 293.42/42.90 -> [13162] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [13163] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90
% 293.42/42.90 [13163] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [13169] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [13170] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [13170] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [13203] ~(left_apart_point(A39_602_9, L40_602_9) | left_apart_point(A39_602_9, reverse_line(L40_602_9)))
% 293.42/42.90
% 293.42/42.90 [13203] ALPHA_NOT_OR : ~(left_apart_point(A39_602_9, L40_602_9) | left_apart_point(A39_602_9, reverse_line(L40_602_9)))
% 293.42/42.90 -> [13204] ~left_apart_point(A39_602_9, L40_602_9), ~left_apart_point(A39_602_9, reverse_line(L40_602_9))
% 293.42/42.90
% 293.42/42.90 [13204] CLOSURE : ~left_apart_point(A39_602_9, L40_602_9)
% 293.42/42.90
% 293.42/42.90 [13169] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [13213] ~(left_apart_point(A39_605_9, L40_605_9) | left_apart_point(A39_605_9, reverse_line(L40_605_9)))
% 293.42/42.90
% 293.42/42.90 [13213] ALPHA_NOT_OR : ~(left_apart_point(A39_605_9, L40_605_9) | left_apart_point(A39_605_9, reverse_line(L40_605_9)))
% 293.42/42.90 -> [13216] ~left_apart_point(A39_605_9, L40_605_9), ~left_apart_point(A39_605_9, reverse_line(L40_605_9))
% 293.42/42.90
% 293.42/42.90 [13216] CLOSURE : ~left_apart_point(A39_605_9, L40_605_9)
% 293.42/42.90
% 293.42/42.90 [13162] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [13175] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [13176] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [13176] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [13175] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [12377] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.42/42.90 -> [12430] ~line(skolem_L7777)
% 293.42/42.90 -> [12431] ~line(line_connecting(skolem_B8181, skolem_C8282))
% 293.42/42.90
% 293.42/42.90 [12430] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [12907] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.90
% 293.42/42.90 [12907] 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))))
% 293.42/42.90 -> [12909] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [12910] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90
% 293.42/42.90 [12909] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [15200] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [15201] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [15201] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [15200] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [12910] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [12913] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [12914] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [12913] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [13069] ~(left_apart_point(A39_591_9, L40_591_9) | left_apart_point(A39_591_9, reverse_line(L40_591_9)))
% 293.42/42.90
% 293.42/42.90 [13069] ALPHA_NOT_OR : ~(left_apart_point(A39_591_9, L40_591_9) | left_apart_point(A39_591_9, reverse_line(L40_591_9)))
% 293.42/42.90 -> [13077] ~left_apart_point(A39_591_9, L40_591_9), ~left_apart_point(A39_591_9, reverse_line(L40_591_9))
% 293.42/42.90
% 293.42/42.90 [13077] CLOSURE : ~left_apart_point(A39_591_9, L40_591_9)
% 293.42/42.90
% 293.42/42.90 [12914] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [15629] ~(left_apart_point(A39_890_9, L40_890_9) | left_apart_point(A39_890_9, reverse_line(L40_890_9)))
% 293.42/42.90
% 293.42/42.90 [15629] ALPHA_NOT_OR : ~(left_apart_point(A39_890_9, L40_890_9) | left_apart_point(A39_890_9, reverse_line(L40_890_9)))
% 293.42/42.90 -> [15631] ~left_apart_point(A39_890_9, L40_890_9), ~left_apart_point(A39_890_9, reverse_line(L40_890_9))
% 293.42/42.90
% 293.42/42.90 [15631] CLOSURE : ~left_apart_point(A39_890_9, L40_890_9)
% 293.42/42.90
% 293.42/42.90 [12431] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [12915] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.90
% 293.42/42.90 [12915] 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))))
% 293.42/42.90 -> [12918] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [12919] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90
% 293.42/42.90 [12919] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [12921] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [12922] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [12922] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [15884] ~(left_apart_point(A39_919_9, L40_919_9) | left_apart_point(A39_919_9, reverse_line(L40_919_9)))
% 293.42/42.90
% 293.42/42.90 [15884] ALPHA_NOT_OR : ~(left_apart_point(A39_919_9, L40_919_9) | left_apart_point(A39_919_9, reverse_line(L40_919_9)))
% 293.42/42.90 -> [15886] ~left_apart_point(A39_919_9, L40_919_9), ~left_apart_point(A39_919_9, reverse_line(L40_919_9))
% 293.42/42.90
% 293.42/42.90 [15886] CLOSURE : ~left_apart_point(A39_919_9, L40_919_9)
% 293.42/42.90
% 293.42/42.90 [12921] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [16021] ~(left_apart_point(A39_931_9, L40_931_9) | left_apart_point(A39_931_9, reverse_line(L40_931_9)))
% 293.42/42.90
% 293.42/42.90 [16021] ALPHA_NOT_OR : ~(left_apart_point(A39_931_9, L40_931_9) | left_apart_point(A39_931_9, reverse_line(L40_931_9)))
% 293.42/42.90 -> [16024] ~left_apart_point(A39_931_9, L40_931_9), ~left_apart_point(A39_931_9, reverse_line(L40_931_9))
% 293.42/42.90
% 293.42/42.90 [16024] CLOSURE : ~left_apart_point(A39_931_9, L40_931_9)
% 293.42/42.90
% 293.42/42.90 [12918] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [15335] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [15336] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [15335] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [15336] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [9063] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_29_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_29_6)))
% 293.42/42.90 -> [9065] unequally_directed_lines(skolem_N7979, N34_29_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_29_6))
% 293.42/42.90
% 293.42/42.90 [9065] 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)))))
% 293.42/42.90 -> [12315] ((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)))))
% 293.42/42.90
% 293.42/42.90 [12315] 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)))))
% 293.42/42.90 -> [12317] ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.90 -> [12318] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))
% 293.42/42.90
% 293.42/42.90 [12318] 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))))
% 293.42/42.90 -> [12321] unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.90 -> [12322] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.90
% 293.42/42.90 [12321] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.90
% 293.42/42.90 [12322] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [14700] ((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))))
% 293.42/42.90
% 293.42/42.90 [14700] 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))))
% 293.42/42.90 -> [14702] ~(unequally_directed_lines(skolem_N7979, M38_413_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_413_8)))
% 293.42/42.90 -> [14703] (left_convergent_lines(skolem_N7979, M38_413_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_413_8)))
% 293.42/42.90
% 293.42/42.90 [14703] BETA_OR : (left_convergent_lines(skolem_N7979, M38_413_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_413_8)))
% 293.42/42.90 -> [14708] left_convergent_lines(skolem_N7979, M38_413_8)
% 293.42/42.90 -> [14709] left_convergent_lines(skolem_N7979, reverse_line(M38_413_8))
% 293.42/42.90
% 293.42/42.90 [14709] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [14749] ~(left_apart_point(A39_783_9, L40_783_9) | left_apart_point(A39_783_9, reverse_line(L40_783_9)))
% 293.42/42.90
% 293.42/42.90 [14749] ALPHA_NOT_OR : ~(left_apart_point(A39_783_9, L40_783_9) | left_apart_point(A39_783_9, reverse_line(L40_783_9)))
% 293.42/42.90 -> [14752] ~left_apart_point(A39_783_9, L40_783_9), ~left_apart_point(A39_783_9, reverse_line(L40_783_9))
% 293.42/42.90
% 293.42/42.90 [14752] CLOSURE : ~left_apart_point(A39_783_9, L40_783_9)
% 293.42/42.90
% 293.42/42.90 [14708] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [14763] ~(left_apart_point(A39_786_9, L40_786_9) | left_apart_point(A39_786_9, reverse_line(L40_786_9)))
% 293.42/42.90
% 293.42/42.90 [14763] ALPHA_NOT_OR : ~(left_apart_point(A39_786_9, L40_786_9) | left_apart_point(A39_786_9, reverse_line(L40_786_9)))
% 293.42/42.90 -> [14764] ~left_apart_point(A39_786_9, L40_786_9), ~left_apart_point(A39_786_9, reverse_line(L40_786_9))
% 293.42/42.90
% 293.42/42.90 [14764] CLOSURE : ~left_apart_point(A39_786_9, L40_786_9)
% 293.42/42.90
% 293.42/42.90 [14702] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_413_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_413_8)))
% 293.42/42.90 -> [14716] ~unequally_directed_lines(skolem_N7979, M38_413_8)
% 293.42/42.90 -> [14717] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_413_8))
% 293.42/42.90
% 293.42/42.90 [14717] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_413_8))
% 293.42/42.90
% 293.42/42.90 [14716] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_413_8)
% 293.42/42.90
% 293.42/42.90 [12317] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.90 -> [12393] ~line(skolem_L7777)
% 293.42/42.90 -> [12394] ~line(line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.90
% 293.42/42.90 [12393] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [12862] ((unequally_directed_lines(skolem_N7979, M38_301_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_301_8))) => (left_convergent_lines(skolem_N7979, M38_301_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_301_8))))
% 293.42/42.90
% 293.42/42.90 [12862] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_301_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_301_8))) => (left_convergent_lines(skolem_N7979, M38_301_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_301_8))))
% 293.42/42.90 -> [12863] ~(unequally_directed_lines(skolem_N7979, M38_301_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_301_8)))
% 293.42/42.90 -> [12864] (left_convergent_lines(skolem_N7979, M38_301_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_301_8)))
% 293.42/42.90
% 293.42/42.90 [12864] BETA_OR : (left_convergent_lines(skolem_N7979, M38_301_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_301_8)))
% 293.42/42.90 -> [12865] left_convergent_lines(skolem_N7979, M38_301_8)
% 293.42/42.90 -> [12866] left_convergent_lines(skolem_N7979, reverse_line(M38_301_8))
% 293.42/42.90
% 293.42/42.90 [12866] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [13039] ~(left_apart_point(A39_587_9, L40_587_9) | left_apart_point(A39_587_9, reverse_line(L40_587_9)))
% 293.42/42.90
% 293.42/42.90 [13039] ALPHA_NOT_OR : ~(left_apart_point(A39_587_9, L40_587_9) | left_apart_point(A39_587_9, reverse_line(L40_587_9)))
% 293.42/42.90 -> [13040] ~left_apart_point(A39_587_9, L40_587_9), ~left_apart_point(A39_587_9, reverse_line(L40_587_9))
% 293.42/42.90
% 293.42/42.90 [13040] CLOSURE : ~left_apart_point(A39_587_9, L40_587_9)
% 293.42/42.90
% 293.42/42.90 [12865] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [13076] ~(left_apart_point(A39_593_9, L40_593_9) | left_apart_point(A39_593_9, reverse_line(L40_593_9)))
% 293.42/42.90
% 293.42/42.90 [13076] ALPHA_NOT_OR : ~(left_apart_point(A39_593_9, L40_593_9) | left_apart_point(A39_593_9, reverse_line(L40_593_9)))
% 293.42/42.90 -> [13078] ~left_apart_point(A39_593_9, L40_593_9), ~left_apart_point(A39_593_9, reverse_line(L40_593_9))
% 293.42/42.90
% 293.42/42.90 [13078] CLOSURE : ~left_apart_point(A39_593_9, L40_593_9)
% 293.42/42.90
% 293.42/42.90 [12863] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_301_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_301_8)))
% 293.42/42.90 -> [12962] ~unequally_directed_lines(skolem_N7979, M38_301_8)
% 293.42/42.90 -> [12963] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_301_8))
% 293.42/42.90
% 293.42/42.90 [12963] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_301_8))
% 293.42/42.90
% 293.42/42.90 [12962] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_301_8)
% 293.42/42.90
% 293.42/42.90 [12394] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [12773] ((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))))
% 293.42/42.90
% 293.42/42.90 [12773] 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))))
% 293.42/42.90 -> [12774] ~(unequally_directed_lines(skolem_N7979, M38_298_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_298_8)))
% 293.42/42.90 -> [12775] (left_convergent_lines(skolem_N7979, M38_298_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_298_8)))
% 293.42/42.90
% 293.42/42.90 [12774] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_298_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_298_8)))
% 293.42/42.90 -> [14084] ~unequally_directed_lines(skolem_N7979, M38_298_8)
% 293.42/42.90 -> [14085] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_298_8))
% 293.42/42.90
% 293.42/42.90 [14085] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_298_8))
% 293.42/42.90
% 293.42/42.90 [14084] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_298_8)
% 293.42/42.90
% 293.42/42.90 [12775] BETA_OR : (left_convergent_lines(skolem_N7979, M38_298_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_298_8)))
% 293.42/42.90 -> [16936] left_convergent_lines(skolem_N7979, M38_298_8)
% 293.42/42.90 -> [16937] left_convergent_lines(skolem_N7979, reverse_line(M38_298_8))
% 293.42/42.90
% 293.42/42.90 [16937] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [17460] ~(left_apart_point(A39_1095_9, L40_1095_9) | left_apart_point(A39_1095_9, reverse_line(L40_1095_9)))
% 293.42/42.90
% 293.42/42.90 [17460] ALPHA_NOT_OR : ~(left_apart_point(A39_1095_9, L40_1095_9) | left_apart_point(A39_1095_9, reverse_line(L40_1095_9)))
% 293.42/42.90 -> [17464] ~left_apart_point(A39_1095_9, L40_1095_9), ~left_apart_point(A39_1095_9, reverse_line(L40_1095_9))
% 293.42/42.90
% 293.42/42.90 [17464] CLOSURE : ~left_apart_point(A39_1095_9, L40_1095_9)
% 293.42/42.90
% 293.42/42.90 [16936] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [17563] ~(left_apart_point(A39_1117_9, L40_1117_9) | left_apart_point(A39_1117_9, reverse_line(L40_1117_9)))
% 293.42/42.90
% 293.42/42.90 [17563] ALPHA_NOT_OR : ~(left_apart_point(A39_1117_9, L40_1117_9) | left_apart_point(A39_1117_9, reverse_line(L40_1117_9)))
% 293.42/42.90 -> [17567] ~left_apart_point(A39_1117_9, L40_1117_9), ~left_apart_point(A39_1117_9, reverse_line(L40_1117_9))
% 293.42/42.90
% 293.42/42.90 [17567] CLOSURE : ~left_apart_point(A39_1117_9, L40_1117_9)
% 293.42/42.90
% 293.42/42.90 [270] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.90 -> [314] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))
% 293.42/42.90 -> [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)))
% 293.42/42.90
% 293.42/42.90 [314] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.42/42.90 -> [630] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 293.42/42.90 -> [631] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.90
% 293.42/42.90 [630] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.90 -> [1265] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.90
% 293.42/42.90 [1265] 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))))
% 293.42/42.90 -> [1293] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.90
% 293.42/42.90 [1293] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.90 -> [1294] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.90 -> [1295] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.90
% 293.42/42.90 [1294] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.90
% 293.42/42.90 [1295] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.90 -> [1764] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.90 -> [1765] distinct_points(skolem_C8282, skolem_B8181)
% 293.42/42.90
% 293.42/42.90 [1764] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.90
% 293.42/42.90 [1765] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.90 -> [3091] ~distinct_lines(N27_41_3, N27_41_3)
% 293.42/42.90
% 293.42/42.90 [3091] 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))))
% 293.42/42.90 -> [3174] (distinct_lines(N27_41_3, N27_41_3) => (distinct_lines(N27_41_3, N27_41_3) | distinct_lines(N27_41_3, N27_41_3)))
% 293.42/42.90
% 293.42/42.90 [3174] 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)))
% 293.42/42.90 -> [3175] ~distinct_lines(N27_41_3, N27_41_3)
% 293.42/42.90 -> [3176] (distinct_lines(N27_41_3, N27_41_3) | distinct_lines(N27_41_3, N27_41_3))
% 293.42/42.90
% 293.42/42.90 [3176] BETA_OR : (distinct_lines(N27_41_3, N27_41_3) | distinct_lines(N27_41_3, N27_41_3))
% 293.42/42.90 -> [3179] distinct_lines(N27_41_3, N27_41_3)
% 293.42/42.90 -> [3180] distinct_lines(N27_41_3, N27_41_3)
% 293.42/42.90
% 293.42/42.90 [3180] CLOSURE : distinct_lines(N27_41_3, N27_41_3)
% 293.42/42.90
% 293.42/42.90 [3179] CLOSURE : distinct_lines(N27_41_3, N27_41_3)
% 293.42/42.90
% 293.42/42.90 [3175] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.90 -> [3282] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [3282] 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))))
% 293.42/42.90 -> [3423] (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)))
% 293.42/42.90
% 293.42/42.90 [3423] 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)))
% 293.42/42.90 -> [3425] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90 -> [3426] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [3425] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [3426] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.90 -> [5165] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.90 -> [5166] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [5165] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [5166] 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))))))
% 293.42/42.90 -> [6717] ((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)))))
% 293.42/42.90
% 293.42/42.90 [6717] 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)))))
% 293.42/42.90 -> [6718] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.90 -> [6719] ((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))))
% 293.42/42.90
% 293.42/42.90 [6718] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.90 -> [6786] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.90 -> [6787] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [6787] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [6786] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.90
% 293.42/42.90 [6719] 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))))
% 293.42/42.90 -> [11548] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [11549] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.90
% 293.42/42.90 [11548] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [11630] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [11630] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [11549] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [11553] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [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)))))
% 293.42/42.90 -> [12193] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.90
% 293.42/42.90 [12193] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.90 -> [12196] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.90 -> [12197] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.90
% 293.42/42.90 [12197] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [12198] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.90 -> [12199] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [12198] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [12199] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [12433] ((unequally_directed_lines(skolem_N7979, M38_275_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_275_8))) => (left_convergent_lines(skolem_N7979, M38_275_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_275_8))))
% 293.42/42.90
% 293.42/42.90 [12433] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_275_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_275_8))) => (left_convergent_lines(skolem_N7979, M38_275_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_275_8))))
% 293.42/42.90 -> [12437] ~(unequally_directed_lines(skolem_N7979, M38_275_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_275_8)))
% 293.42/42.90 -> [12438] (left_convergent_lines(skolem_N7979, M38_275_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_275_8)))
% 293.42/42.90
% 293.42/42.90 [12437] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_275_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_275_8)))
% 293.42/42.90 -> [12523] ~unequally_directed_lines(skolem_N7979, M38_275_8)
% 293.42/42.90 -> [12524] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_275_8))
% 293.42/42.90
% 293.42/42.90 [12524] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_275_8))
% 293.42/42.90
% 293.42/42.90 [12523] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_275_8)
% 293.42/42.90
% 293.42/42.90 [12438] BETA_OR : (left_convergent_lines(skolem_N7979, M38_275_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_275_8)))
% 293.42/42.90 -> [12443] left_convergent_lines(skolem_N7979, M38_275_8)
% 293.42/42.90 -> [12444] left_convergent_lines(skolem_N7979, reverse_line(M38_275_8))
% 293.42/42.90
% 293.42/42.90 [12444] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [12753] ~(left_apart_point(A39_541_9, L40_541_9) | left_apart_point(A39_541_9, reverse_line(L40_541_9)))
% 293.42/42.90
% 293.42/42.90 [12753] ALPHA_NOT_OR : ~(left_apart_point(A39_541_9, L40_541_9) | left_apart_point(A39_541_9, reverse_line(L40_541_9)))
% 293.42/42.90 -> [12754] ~left_apart_point(A39_541_9, L40_541_9), ~left_apart_point(A39_541_9, reverse_line(L40_541_9))
% 293.42/42.90
% 293.42/42.90 [12754] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.90 -> [13004] ~(left_convergent_lines(L41_84_10, M42_84_10) | left_convergent_lines(L41_84_10, reverse_line(M42_84_10)))
% 293.42/42.90
% 293.42/42.90 [13004] ALPHA_NOT_OR : ~(left_convergent_lines(L41_84_10, M42_84_10) | left_convergent_lines(L41_84_10, reverse_line(M42_84_10)))
% 293.42/42.90 -> [13007] ~left_convergent_lines(L41_84_10, M42_84_10), ~left_convergent_lines(L41_84_10, reverse_line(M42_84_10))
% 293.42/42.90
% 293.42/42.90 [13007] CLOSURE : ~left_convergent_lines(L41_84_10, M42_84_10)
% 293.42/42.90
% 293.42/42.90 [12443] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [12812] ~(left_apart_point(A39_555_9, L40_555_9) | left_apart_point(A39_555_9, reverse_line(L40_555_9)))
% 293.42/42.90
% 293.42/42.90 [12812] ALPHA_NOT_OR : ~(left_apart_point(A39_555_9, L40_555_9) | left_apart_point(A39_555_9, reverse_line(L40_555_9)))
% 293.42/42.90 -> [12815] ~left_apart_point(A39_555_9, L40_555_9), ~left_apart_point(A39_555_9, reverse_line(L40_555_9))
% 293.42/42.90
% 293.42/42.90 [12815] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.90 -> [13053] ~(left_convergent_lines(L41_86_10, M42_86_10) | left_convergent_lines(L41_86_10, reverse_line(M42_86_10)))
% 293.42/42.90
% 293.42/42.90 [13053] ALPHA_NOT_OR : ~(left_convergent_lines(L41_86_10, M42_86_10) | left_convergent_lines(L41_86_10, reverse_line(M42_86_10)))
% 293.42/42.90 -> [13054] ~left_convergent_lines(L41_86_10, M42_86_10), ~left_convergent_lines(L41_86_10, reverse_line(M42_86_10))
% 293.42/42.90
% 293.42/42.90 [13054] CLOSURE : ~left_convergent_lines(L41_86_10, M42_86_10)
% 293.42/42.90
% 293.42/42.90 [12196] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.90 -> [12276] ~line(skolem_M7878)
% 293.42/42.90 -> [12277] ~line(skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [12276] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [12494] ((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))))
% 293.42/42.90
% 293.42/42.90 [12494] 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))))
% 293.42/42.90 -> [12496] ~(unequally_directed_lines(skolem_N7979, M38_278_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_278_8)))
% 293.42/42.90 -> [12497] (left_convergent_lines(skolem_N7979, M38_278_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_278_8)))
% 293.42/42.90
% 293.42/42.90 [12496] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_278_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_278_8)))
% 293.42/42.90 -> [12589] ~unequally_directed_lines(skolem_N7979, M38_278_8)
% 293.42/42.90 -> [12590] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_278_8))
% 293.42/42.90
% 293.42/42.90 [12590] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_278_8))
% 293.42/42.90
% 293.42/42.90 [12589] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_278_8)
% 293.42/42.90
% 293.42/42.90 [12497] BETA_OR : (left_convergent_lines(skolem_N7979, M38_278_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_278_8)))
% 293.42/42.90 -> [12503] left_convergent_lines(skolem_N7979, M38_278_8)
% 293.42/42.90 -> [12504] left_convergent_lines(skolem_N7979, reverse_line(M38_278_8))
% 293.42/42.90
% 293.42/42.90 [12504] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [12802] ~(left_apart_point(A39_551_9, L40_551_9) | left_apart_point(A39_551_9, reverse_line(L40_551_9)))
% 293.42/42.90
% 293.42/42.90 [12802] ALPHA_NOT_OR : ~(left_apart_point(A39_551_9, L40_551_9) | left_apart_point(A39_551_9, reverse_line(L40_551_9)))
% 293.42/42.90 -> [12804] ~left_apart_point(A39_551_9, L40_551_9), ~left_apart_point(A39_551_9, reverse_line(L40_551_9))
% 293.42/42.90
% 293.42/42.90 [12804] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.90 -> [15900] ~(left_convergent_lines(L41_113_10, M42_113_10) | left_convergent_lines(L41_113_10, reverse_line(M42_113_10)))
% 293.42/42.90
% 293.42/42.90 [15900] ALPHA_NOT_OR : ~(left_convergent_lines(L41_113_10, M42_113_10) | left_convergent_lines(L41_113_10, reverse_line(M42_113_10)))
% 293.42/42.90 -> [15906] ~left_convergent_lines(L41_113_10, M42_113_10), ~left_convergent_lines(L41_113_10, reverse_line(M42_113_10))
% 293.42/42.90
% 293.42/42.90 [15906] CLOSURE : ~left_convergent_lines(L41_113_10, M42_113_10)
% 293.42/42.90
% 293.42/42.90 [12503] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [12860] ~(left_apart_point(A39_564_9, L40_564_9) | left_apart_point(A39_564_9, reverse_line(L40_564_9)))
% 293.42/42.90
% 293.42/42.90 [12860] ALPHA_NOT_OR : ~(left_apart_point(A39_564_9, L40_564_9) | left_apart_point(A39_564_9, reverse_line(L40_564_9)))
% 293.42/42.90 -> [12861] ~left_apart_point(A39_564_9, L40_564_9), ~left_apart_point(A39_564_9, reverse_line(L40_564_9))
% 293.42/42.90
% 293.42/42.90 [12861] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.90 -> [15997] ~(left_convergent_lines(L41_114_10, M42_114_10) | left_convergent_lines(L41_114_10, reverse_line(M42_114_10)))
% 293.42/42.90
% 293.42/42.90 [15997] ALPHA_NOT_OR : ~(left_convergent_lines(L41_114_10, M42_114_10) | left_convergent_lines(L41_114_10, reverse_line(M42_114_10)))
% 293.42/42.90 -> [16001] ~left_convergent_lines(L41_114_10, M42_114_10), ~left_convergent_lines(L41_114_10, reverse_line(M42_114_10))
% 293.42/42.90
% 293.42/42.90 [16001] CLOSURE : ~left_convergent_lines(L41_114_10, M42_114_10)
% 293.42/42.90
% 293.42/42.90 [12277] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [12421] ((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))))
% 293.42/42.90
% 293.42/42.90 [12421] 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))))
% 293.42/42.90 -> [12423] ~(unequally_directed_lines(skolem_N7979, M38_273_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_273_8)))
% 293.42/42.90 -> [12424] (left_convergent_lines(skolem_N7979, M38_273_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_273_8)))
% 293.42/42.90
% 293.42/42.90 [12423] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_273_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_273_8)))
% 293.42/42.90 -> [12513] ~unequally_directed_lines(skolem_N7979, M38_273_8)
% 293.42/42.90 -> [12514] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_273_8))
% 293.42/42.90
% 293.42/42.90 [12514] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_273_8))
% 293.42/42.90
% 293.42/42.90 [12513] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_273_8)
% 293.42/42.90
% 293.42/42.90 [12424] BETA_OR : (left_convergent_lines(skolem_N7979, M38_273_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_273_8)))
% 293.42/42.90 -> [12428] left_convergent_lines(skolem_N7979, M38_273_8)
% 293.42/42.90 -> [12429] left_convergent_lines(skolem_N7979, reverse_line(M38_273_8))
% 293.42/42.90
% 293.42/42.90 [12428] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [12807] ~(left_apart_point(A39_553_9, L40_553_9) | left_apart_point(A39_553_9, reverse_line(L40_553_9)))
% 293.42/42.90
% 293.42/42.90 [12807] ALPHA_NOT_OR : ~(left_apart_point(A39_553_9, L40_553_9) | left_apart_point(A39_553_9, reverse_line(L40_553_9)))
% 293.42/42.90 -> [12809] ~left_apart_point(A39_553_9, L40_553_9), ~left_apart_point(A39_553_9, reverse_line(L40_553_9))
% 293.42/42.90
% 293.42/42.90 [12809] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.90 -> [13049] ~(left_convergent_lines(L41_85_10, M42_85_10) | left_convergent_lines(L41_85_10, reverse_line(M42_85_10)))
% 293.42/42.90
% 293.42/42.90 [13049] ALPHA_NOT_OR : ~(left_convergent_lines(L41_85_10, M42_85_10) | left_convergent_lines(L41_85_10, reverse_line(M42_85_10)))
% 293.42/42.90 -> [13051] ~left_convergent_lines(L41_85_10, M42_85_10), ~left_convergent_lines(L41_85_10, reverse_line(M42_85_10))
% 293.42/42.90
% 293.42/42.90 [13051] CLOSURE : ~left_convergent_lines(L41_85_10, M42_85_10)
% 293.42/42.90
% 293.42/42.90 [12429] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [12749] ~(left_apart_point(A39_540_9, L40_540_9) | left_apart_point(A39_540_9, reverse_line(L40_540_9)))
% 293.42/42.90
% 293.42/42.90 [12749] ALPHA_NOT_OR : ~(left_apart_point(A39_540_9, L40_540_9) | left_apart_point(A39_540_9, reverse_line(L40_540_9)))
% 293.42/42.90 -> [12750] ~left_apart_point(A39_540_9, L40_540_9), ~left_apart_point(A39_540_9, reverse_line(L40_540_9))
% 293.42/42.90
% 293.42/42.90 [12750] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.90 -> [17011] ~(left_convergent_lines(L41_120_10, M42_120_10) | left_convergent_lines(L41_120_10, reverse_line(M42_120_10)))
% 293.42/42.90
% 293.42/42.90 [17011] ALPHA_NOT_OR : ~(left_convergent_lines(L41_120_10, M42_120_10) | left_convergent_lines(L41_120_10, reverse_line(M42_120_10)))
% 293.42/42.90 -> [17012] ~left_convergent_lines(L41_120_10, M42_120_10), ~left_convergent_lines(L41_120_10, reverse_line(M42_120_10))
% 293.42/42.90
% 293.42/42.90 [17012] CLOSURE : ~left_convergent_lines(L41_120_10, M42_120_10)
% 293.42/42.90
% 293.42/42.90 [631] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.90 -> [755] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.90
% 293.42/42.90 [755] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.90 -> [756] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.42/42.90 -> [757] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [756] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.90 -> [1260] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.90
% 293.42/42.90 [1260] 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))))
% 293.42/42.90 -> [1384] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.90
% 293.42/42.90 [1384] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.90 -> [1385] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.90 -> [1386] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.90
% 293.42/42.90 [1385] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.90
% 293.42/42.90 [1386] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.90 -> [3616] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.90 -> [3617] distinct_points(skolem_C8282, skolem_B8181)
% 293.42/42.90
% 293.42/42.90 [3616] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.90
% 293.42/42.90 [3617] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.90 -> [3768] ~distinct_lines(N27_74_3, N27_74_3)
% 293.42/42.90
% 293.42/42.90 [3768] 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))))
% 293.42/42.90 -> [3786] (distinct_lines(N27_74_3, N27_74_3) => (distinct_lines(N27_74_3, N27_74_3) | distinct_lines(N27_74_3, N27_74_3)))
% 293.42/42.90
% 293.42/42.90 [3786] 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)))
% 293.42/42.90 -> [3787] ~distinct_lines(N27_74_3, N27_74_3)
% 293.42/42.90 -> [3788] (distinct_lines(N27_74_3, N27_74_3) | distinct_lines(N27_74_3, N27_74_3))
% 293.42/42.90
% 293.42/42.90 [3788] BETA_OR : (distinct_lines(N27_74_3, N27_74_3) | distinct_lines(N27_74_3, N27_74_3))
% 293.42/42.90 -> [3790] distinct_lines(N27_74_3, N27_74_3)
% 293.42/42.90 -> [3791] distinct_lines(N27_74_3, N27_74_3)
% 293.42/42.90
% 293.42/42.90 [3791] CLOSURE : distinct_lines(N27_74_3, N27_74_3)
% 293.42/42.90
% 293.42/42.90 [3790] CLOSURE : distinct_lines(N27_74_3, N27_74_3)
% 293.42/42.90
% 293.42/42.90 [3787] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.90 -> [3822] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [3822] 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))))
% 293.42/42.90 -> [3872] (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)))
% 293.42/42.90
% 293.42/42.90 [3872] 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)))
% 293.42/42.90 -> [3873] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90 -> [3874] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [3873] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [3874] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.90 -> [7029] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.90 -> [7030] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [7029] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [7030] 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))))))
% 293.42/42.90 -> [8934] ((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)))))
% 293.42/42.90
% 293.42/42.90 [8934] 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)))))
% 293.42/42.90 -> [8938] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.90 -> [8939] ((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))))
% 293.42/42.90
% 293.42/42.90 [8938] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.90 -> [8963] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.90 -> [8964] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [8964] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [8963] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.90
% 293.42/42.90 [8939] 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))))
% 293.42/42.90 -> [15706] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [15707] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.90
% 293.42/42.90 [15706] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [15835] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [15835] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [15707] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [15709] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [15709] 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)))))
% 293.42/42.90 -> [16869] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.90
% 293.42/42.90 [16869] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.90 -> [16870] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.90 -> [16871] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.90
% 293.42/42.90 [16871] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [16876] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.90 -> [16877] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [16876] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [16877] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [20327] ((unequally_directed_lines(skolem_N7979, M38_764_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_764_8))) => (left_convergent_lines(skolem_N7979, M38_764_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_764_8))))
% 293.42/42.90
% 293.42/42.90 [20327] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_764_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_764_8))) => (left_convergent_lines(skolem_N7979, M38_764_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_764_8))))
% 293.42/42.90 -> [20330] ~(unequally_directed_lines(skolem_N7979, M38_764_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_764_8)))
% 293.42/42.90 -> [20331] (left_convergent_lines(skolem_N7979, M38_764_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_764_8)))
% 293.42/42.90
% 293.42/42.90 [20331] BETA_OR : (left_convergent_lines(skolem_N7979, M38_764_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_764_8)))
% 293.42/42.90 -> [20337] left_convergent_lines(skolem_N7979, M38_764_8)
% 293.42/42.90 -> [20338] left_convergent_lines(skolem_N7979, reverse_line(M38_764_8))
% 293.42/42.90
% 293.42/42.90 [20338] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [20971] ~(left_apart_point(A39_1525_9, L40_1525_9) | left_apart_point(A39_1525_9, reverse_line(L40_1525_9)))
% 293.42/42.90
% 293.42/42.90 [20971] ALPHA_NOT_OR : ~(left_apart_point(A39_1525_9, L40_1525_9) | left_apart_point(A39_1525_9, reverse_line(L40_1525_9)))
% 293.42/42.90 -> [20972] ~left_apart_point(A39_1525_9, L40_1525_9), ~left_apart_point(A39_1525_9, reverse_line(L40_1525_9))
% 293.42/42.90
% 293.42/42.90 [20972] CLOSURE : ~left_apart_point(A39_1525_9, L40_1525_9)
% 293.42/42.90
% 293.42/42.90 [20337] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [21051] ~(left_apart_point(A39_1534_9, L40_1534_9) | left_apart_point(A39_1534_9, reverse_line(L40_1534_9)))
% 293.42/42.90
% 293.42/42.90 [21051] ALPHA_NOT_OR : ~(left_apart_point(A39_1534_9, L40_1534_9) | left_apart_point(A39_1534_9, reverse_line(L40_1534_9)))
% 293.42/42.90 -> [21052] ~left_apart_point(A39_1534_9, L40_1534_9), ~left_apart_point(A39_1534_9, reverse_line(L40_1534_9))
% 293.42/42.90
% 293.42/42.90 [21052] CLOSURE : ~left_apart_point(A39_1534_9, L40_1534_9)
% 293.42/42.90
% 293.42/42.90 [20330] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_764_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_764_8)))
% 293.42/42.90 -> [20392] ~unequally_directed_lines(skolem_N7979, M38_764_8)
% 293.42/42.90 -> [20393] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_764_8))
% 293.42/42.90
% 293.42/42.90 [20392] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_764_8)
% 293.42/42.90
% 293.42/42.90 [20393] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_764_8))
% 293.42/42.90
% 293.42/42.90 [16870] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.90 -> [17048] ~line(skolem_M7878)
% 293.42/42.90 -> [17049] ~line(skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [17048] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [17797] ((unequally_directed_lines(skolem_N7979, M38_604_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_604_8))) => (left_convergent_lines(skolem_N7979, M38_604_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_604_8))))
% 293.42/42.90
% 293.42/42.90 [17797] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_604_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_604_8))) => (left_convergent_lines(skolem_N7979, M38_604_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_604_8))))
% 293.42/42.90 -> [17800] ~(unequally_directed_lines(skolem_N7979, M38_604_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_604_8)))
% 293.42/42.90 -> [17801] (left_convergent_lines(skolem_N7979, M38_604_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_604_8)))
% 293.42/42.90
% 293.42/42.90 [17801] BETA_OR : (left_convergent_lines(skolem_N7979, M38_604_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_604_8)))
% 293.42/42.90 -> [17806] left_convergent_lines(skolem_N7979, M38_604_8)
% 293.42/42.90 -> [17807] left_convergent_lines(skolem_N7979, reverse_line(M38_604_8))
% 293.42/42.90
% 293.42/42.90 [17807] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [17905] ~(left_apart_point(A39_1159_9, L40_1159_9) | left_apart_point(A39_1159_9, reverse_line(L40_1159_9)))
% 293.42/42.90
% 293.42/42.90 [17905] ALPHA_NOT_OR : ~(left_apart_point(A39_1159_9, L40_1159_9) | left_apart_point(A39_1159_9, reverse_line(L40_1159_9)))
% 293.42/42.90 -> [17906] ~left_apart_point(A39_1159_9, L40_1159_9), ~left_apart_point(A39_1159_9, reverse_line(L40_1159_9))
% 293.42/42.90
% 293.42/42.90 [17906] CLOSURE : ~left_apart_point(A39_1159_9, L40_1159_9)
% 293.42/42.90
% 293.42/42.90 [17806] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [17934] ~(left_apart_point(A39_1161_9, L40_1161_9) | left_apart_point(A39_1161_9, reverse_line(L40_1161_9)))
% 293.42/42.90
% 293.42/42.90 [17934] ALPHA_NOT_OR : ~(left_apart_point(A39_1161_9, L40_1161_9) | left_apart_point(A39_1161_9, reverse_line(L40_1161_9)))
% 293.42/42.90 -> [17936] ~left_apart_point(A39_1161_9, L40_1161_9), ~left_apart_point(A39_1161_9, reverse_line(L40_1161_9))
% 293.42/42.90
% 293.42/42.90 [17936] CLOSURE : ~left_apart_point(A39_1161_9, L40_1161_9)
% 293.42/42.90
% 293.42/42.90 [17800] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_604_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_604_8)))
% 293.42/42.90 -> [17848] ~unequally_directed_lines(skolem_N7979, M38_604_8)
% 293.42/42.90 -> [17849] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_604_8))
% 293.42/42.90
% 293.42/42.90 [17849] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_604_8))
% 293.42/42.90
% 293.42/42.90 [17848] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_604_8)
% 293.42/42.90
% 293.42/42.90 [17049] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [17524] ((unequally_directed_lines(skolem_N7979, M38_586_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_586_8))) => (left_convergent_lines(skolem_N7979, M38_586_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_586_8))))
% 293.42/42.90
% 293.42/42.90 [17524] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_586_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_586_8))) => (left_convergent_lines(skolem_N7979, M38_586_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_586_8))))
% 293.42/42.90 -> [17525] ~(unequally_directed_lines(skolem_N7979, M38_586_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_586_8)))
% 293.42/42.90 -> [17526] (left_convergent_lines(skolem_N7979, M38_586_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_586_8)))
% 293.42/42.90
% 293.42/42.90 [17525] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_586_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_586_8)))
% 293.42/42.90 -> [21038] ~unequally_directed_lines(skolem_N7979, M38_586_8)
% 293.42/42.90 -> [21039] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_586_8))
% 293.42/42.90
% 293.42/42.90 [21039] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_586_8))
% 293.42/42.90
% 293.42/42.90 [21038] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_586_8)
% 293.42/42.90
% 293.42/42.90 [17526] BETA_OR : (left_convergent_lines(skolem_N7979, M38_586_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_586_8)))
% 293.42/42.90 -> [17529] left_convergent_lines(skolem_N7979, M38_586_8)
% 293.42/42.90 -> [17530] left_convergent_lines(skolem_N7979, reverse_line(M38_586_8))
% 293.42/42.90
% 293.42/42.90 [17529] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [21168] ~(left_apart_point(A39_1549_9, L40_1549_9) | left_apart_point(A39_1549_9, reverse_line(L40_1549_9)))
% 293.42/42.90
% 293.42/42.90 [21168] ALPHA_NOT_OR : ~(left_apart_point(A39_1549_9, L40_1549_9) | left_apart_point(A39_1549_9, reverse_line(L40_1549_9)))
% 293.42/42.90 -> [21172] ~left_apart_point(A39_1549_9, L40_1549_9), ~left_apart_point(A39_1549_9, reverse_line(L40_1549_9))
% 293.42/42.90
% 293.42/42.90 [21172] CLOSURE : ~left_apart_point(A39_1549_9, L40_1549_9)
% 293.42/42.90
% 293.42/42.90 [17530] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [21535] ~(left_apart_point(A39_1600_9, L40_1600_9) | left_apart_point(A39_1600_9, reverse_line(L40_1600_9)))
% 293.42/42.90
% 293.42/42.90 [21535] ALPHA_NOT_OR : ~(left_apart_point(A39_1600_9, L40_1600_9) | left_apart_point(A39_1600_9, reverse_line(L40_1600_9)))
% 293.42/42.90 -> [21536] ~left_apart_point(A39_1600_9, L40_1600_9), ~left_apart_point(A39_1600_9, reverse_line(L40_1600_9))
% 293.42/42.90
% 293.42/42.90 [21536] CLOSURE : ~left_apart_point(A39_1600_9, L40_1600_9)
% 293.42/42.90
% 293.42/42.90 [757] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.90 -> [1377] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.90
% 293.42/42.90 [1377] 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))))
% 293.42/42.90 -> [1441] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.90
% 293.42/42.90 [1441] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.90 -> [1442] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.90 -> [1443] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.90
% 293.42/42.90 [1442] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.90
% 293.42/42.90 [1443] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.90 -> [5665] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.90 -> [5666] distinct_points(skolem_C8282, skolem_B8181)
% 293.42/42.90
% 293.42/42.90 [5665] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.90
% 293.42/42.90 [5666] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.90 -> [7227] ~distinct_lines(N27_246_3, N27_246_3)
% 293.42/42.90
% 293.42/42.90 [7227] 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))))
% 293.42/42.90 -> [7652] (distinct_lines(N27_246_3, N27_246_3) => (distinct_lines(N27_246_3, N27_246_3) | distinct_lines(N27_246_3, N27_246_3)))
% 293.42/42.90
% 293.42/42.90 [7652] BETA_IMPLY : (distinct_lines(N27_246_3, N27_246_3) => (distinct_lines(N27_246_3, N27_246_3) | distinct_lines(N27_246_3, N27_246_3)))
% 293.42/42.90 -> [7657] ~distinct_lines(N27_246_3, N27_246_3)
% 293.42/42.90 -> [7658] (distinct_lines(N27_246_3, N27_246_3) | distinct_lines(N27_246_3, N27_246_3))
% 293.42/42.90
% 293.42/42.90 [7658] BETA_OR : (distinct_lines(N27_246_3, N27_246_3) | distinct_lines(N27_246_3, N27_246_3))
% 293.42/42.90 -> [7663] distinct_lines(N27_246_3, N27_246_3)
% 293.42/42.90 -> [7664] distinct_lines(N27_246_3, N27_246_3)
% 293.42/42.90
% 293.42/42.90 [7664] CLOSURE : distinct_lines(N27_246_3, N27_246_3)
% 293.42/42.90
% 293.42/42.90 [7663] CLOSURE : distinct_lines(N27_246_3, N27_246_3)
% 293.42/42.90
% 293.42/42.90 [7657] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.90 -> [7838] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [7838] 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))))
% 293.42/42.90 -> [8190] (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)))
% 293.42/42.90
% 293.42/42.90 [8190] 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)))
% 293.42/42.90 -> [8191] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90 -> [8192] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [8191] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [8192] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.90 -> [14422] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.90 -> [14423] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [14422] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [14423] 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))))))
% 293.42/42.90 -> [18185] ((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)))))
% 293.42/42.90
% 293.42/42.90 [18185] 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)))))
% 293.42/42.90 -> [18188] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.90 -> [18189] ((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))))
% 293.42/42.90
% 293.42/42.90 [18188] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.90 -> [18250] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.90 -> [18251] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [18251] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [18250] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.90
% 293.42/42.90 [18189] 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))))
% 293.42/42.90 -> [20605] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [20606] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.90
% 293.42/42.90 [20605] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [20718] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [20718] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [20606] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [20612] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [20612] 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)))))
% 293.42/42.90 -> [21323] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.90
% 293.42/42.90 [21323] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.90 -> [21324] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.90 -> [21325] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.90
% 293.42/42.90 [21324] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.90 -> [21435] ~line(skolem_M7878)
% 293.42/42.90 -> [21436] ~line(skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [21435] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [22047] ((unequally_directed_lines(skolem_N7979, M38_873_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_873_8))) => (left_convergent_lines(skolem_N7979, M38_873_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_873_8))))
% 293.42/42.90
% 293.42/42.90 [22047] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_873_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_873_8))) => (left_convergent_lines(skolem_N7979, M38_873_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_873_8))))
% 293.42/42.90 -> [22048] ~(unequally_directed_lines(skolem_N7979, M38_873_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_873_8)))
% 293.42/42.90 -> [22049] (left_convergent_lines(skolem_N7979, M38_873_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_873_8)))
% 293.42/42.90
% 293.42/42.90 [22048] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_873_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_873_8)))
% 293.42/42.90 -> [22128] ~unequally_directed_lines(skolem_N7979, M38_873_8)
% 293.42/42.90 -> [22129] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_873_8))
% 293.42/42.90
% 293.42/42.90 [22129] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_873_8))
% 293.42/42.90
% 293.42/42.90 [22128] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_873_8)
% 293.42/42.90
% 293.42/42.90 [22049] BETA_OR : (left_convergent_lines(skolem_N7979, M38_873_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_873_8)))
% 293.42/42.90 -> [22050] left_convergent_lines(skolem_N7979, M38_873_8)
% 293.42/42.90 -> [22051] left_convergent_lines(skolem_N7979, reverse_line(M38_873_8))
% 293.42/42.90
% 293.42/42.90 [22051] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [22354] ~(left_apart_point(A39_1727_9, L40_1727_9) | left_apart_point(A39_1727_9, reverse_line(L40_1727_9)))
% 293.42/42.90
% 293.42/42.90 [22354] ALPHA_NOT_OR : ~(left_apart_point(A39_1727_9, L40_1727_9) | left_apart_point(A39_1727_9, reverse_line(L40_1727_9)))
% 293.42/42.90 -> [22357] ~left_apart_point(A39_1727_9, L40_1727_9), ~left_apart_point(A39_1727_9, reverse_line(L40_1727_9))
% 293.42/42.90
% 293.42/42.90 [22357] CLOSURE : ~left_apart_point(A39_1727_9, L40_1727_9)
% 293.42/42.90
% 293.42/42.90 [22050] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [22436] ~(left_apart_point(A39_1743_9, L40_1743_9) | left_apart_point(A39_1743_9, reverse_line(L40_1743_9)))
% 293.42/42.90
% 293.42/42.90 [22436] ALPHA_NOT_OR : ~(left_apart_point(A39_1743_9, L40_1743_9) | left_apart_point(A39_1743_9, reverse_line(L40_1743_9)))
% 293.42/42.90 -> [22437] ~left_apart_point(A39_1743_9, L40_1743_9), ~left_apart_point(A39_1743_9, reverse_line(L40_1743_9))
% 293.42/42.90
% 293.42/42.90 [22437] CLOSURE : ~left_apart_point(A39_1743_9, L40_1743_9)
% 293.42/42.90
% 293.42/42.90 [21436] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [22583] ((unequally_directed_lines(skolem_N7979, M38_906_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_906_8))) => (left_convergent_lines(skolem_N7979, M38_906_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_906_8))))
% 293.42/42.90
% 293.42/42.90 [22583] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_906_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_906_8))) => (left_convergent_lines(skolem_N7979, M38_906_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_906_8))))
% 293.42/42.90 -> [22587] ~(unequally_directed_lines(skolem_N7979, M38_906_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_906_8)))
% 293.42/42.90 -> [22588] (left_convergent_lines(skolem_N7979, M38_906_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_906_8)))
% 293.42/42.90
% 293.42/42.90 [22588] BETA_OR : (left_convergent_lines(skolem_N7979, M38_906_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_906_8)))
% 293.42/42.90 -> [22591] left_convergent_lines(skolem_N7979, M38_906_8)
% 293.42/42.90 -> [22592] left_convergent_lines(skolem_N7979, reverse_line(M38_906_8))
% 293.42/42.90
% 293.42/42.90 [22591] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [22895] ~(left_apart_point(A39_1795_9, L40_1795_9) | left_apart_point(A39_1795_9, reverse_line(L40_1795_9)))
% 293.42/42.90
% 293.42/42.90 [22895] ALPHA_NOT_OR : ~(left_apart_point(A39_1795_9, L40_1795_9) | left_apart_point(A39_1795_9, reverse_line(L40_1795_9)))
% 293.42/42.90 -> [22897] ~left_apart_point(A39_1795_9, L40_1795_9), ~left_apart_point(A39_1795_9, reverse_line(L40_1795_9))
% 293.42/42.90
% 293.42/42.90 [22897] CLOSURE : ~left_apart_point(A39_1795_9, L40_1795_9)
% 293.42/42.90
% 293.42/42.90 [22592] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [22842] ~(left_apart_point(A39_1787_9, L40_1787_9) | left_apart_point(A39_1787_9, reverse_line(L40_1787_9)))
% 293.42/42.90
% 293.42/42.90 [22842] ALPHA_NOT_OR : ~(left_apart_point(A39_1787_9, L40_1787_9) | left_apart_point(A39_1787_9, reverse_line(L40_1787_9)))
% 293.42/42.90 -> [22843] ~left_apart_point(A39_1787_9, L40_1787_9), ~left_apart_point(A39_1787_9, reverse_line(L40_1787_9))
% 293.42/42.90
% 293.42/42.90 [22843] CLOSURE : ~left_apart_point(A39_1787_9, L40_1787_9)
% 293.42/42.90
% 293.42/42.90 [22587] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_906_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_906_8)))
% 293.42/42.90 -> [22668] ~unequally_directed_lines(skolem_N7979, M38_906_8)
% 293.42/42.90 -> [22669] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_906_8))
% 293.42/42.90
% 293.42/42.90 [22669] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_906_8))
% 293.42/42.90
% 293.42/42.90 [22668] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_906_8)
% 293.42/42.90
% 293.42/42.90 [21325] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [21327] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.90 -> [21328] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [21327] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [21328] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [22865] ((unequally_directed_lines(skolem_N7979, M38_922_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_922_8))) => (left_convergent_lines(skolem_N7979, M38_922_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_922_8))))
% 293.42/42.90
% 293.42/42.90 [22865] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_922_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_922_8))) => (left_convergent_lines(skolem_N7979, M38_922_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_922_8))))
% 293.42/42.90 -> [22870] ~(unequally_directed_lines(skolem_N7979, M38_922_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_922_8)))
% 293.42/42.90 -> [22871] (left_convergent_lines(skolem_N7979, M38_922_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_922_8)))
% 293.42/42.90
% 293.42/42.90 [22871] BETA_OR : (left_convergent_lines(skolem_N7979, M38_922_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_922_8)))
% 293.42/42.90 -> [22881] left_convergent_lines(skolem_N7979, M38_922_8)
% 293.42/42.90 -> [22882] left_convergent_lines(skolem_N7979, reverse_line(M38_922_8))
% 293.42/42.90
% 293.42/42.90 [22882] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [23201] ~(left_apart_point(A39_1837_9, L40_1837_9) | left_apart_point(A39_1837_9, reverse_line(L40_1837_9)))
% 293.42/42.90
% 293.42/42.90 [23201] ALPHA_NOT_OR : ~(left_apart_point(A39_1837_9, L40_1837_9) | left_apart_point(A39_1837_9, reverse_line(L40_1837_9)))
% 293.42/42.90 -> [23202] ~left_apart_point(A39_1837_9, L40_1837_9), ~left_apart_point(A39_1837_9, reverse_line(L40_1837_9))
% 293.42/42.90
% 293.42/42.90 [23202] CLOSURE : ~left_apart_point(A39_1837_9, L40_1837_9)
% 293.42/42.90
% 293.42/42.90 [22881] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [23241] ~(left_apart_point(A39_1846_9, L40_1846_9) | left_apart_point(A39_1846_9, reverse_line(L40_1846_9)))
% 293.42/42.90
% 293.42/42.90 [23241] ALPHA_NOT_OR : ~(left_apart_point(A39_1846_9, L40_1846_9) | left_apart_point(A39_1846_9, reverse_line(L40_1846_9)))
% 293.42/42.90 -> [23242] ~left_apart_point(A39_1846_9, L40_1846_9), ~left_apart_point(A39_1846_9, reverse_line(L40_1846_9))
% 293.42/42.90
% 293.42/42.90 [23242] CLOSURE : ~left_apart_point(A39_1846_9, L40_1846_9)
% 293.42/42.90
% 293.42/42.90 [22870] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_922_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_922_8)))
% 293.42/42.90 -> [23011] ~unequally_directed_lines(skolem_N7979, M38_922_8)
% 293.42/42.90 -> [23012] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_922_8))
% 293.42/42.90
% 293.42/42.90 [23012] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_922_8))
% 293.42/42.90
% 293.42/42.90 [23011] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_922_8)
% 293.42/42.90
% 293.42/42.90 [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)))
% 293.42/42.90 -> [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)))
% 293.42/42.90
% 293.42/42.90 [325] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.42/42.90 -> [327] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 293.42/42.90 -> [328] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.90
% 293.42/42.90 [328] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.90 -> [338] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.90
% 293.42/42.90 [338] 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)))
% 293.42/42.90 -> [342] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 293.42/42.90 -> [343] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [342] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.90 -> [809] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.42/42.90 -> [810] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [809] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.90 -> [1606] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.90
% 293.42/42.90 [1606] 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))))
% 293.42/42.90 -> [1734] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.90
% 293.42/42.90 [1734] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.90 -> [1936] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.90 -> [1937] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.90
% 293.42/42.90 [1936] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.90
% 293.42/42.90 [1937] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.90 -> [3957] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.90 -> [3958] distinct_points(skolem_C8282, skolem_B8181)
% 293.42/42.90
% 293.42/42.90 [3957] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.90
% 293.42/42.90 [3958] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.90 -> [4045] ~distinct_lines(N27_88_3, N27_88_3)
% 293.42/42.90
% 293.42/42.90 [4045] 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))))
% 293.42/42.90 -> [4072] (distinct_lines(N27_88_3, N27_88_3) => (distinct_lines(N27_88_3, N27_88_3) | distinct_lines(N27_88_3, N27_88_3)))
% 293.42/42.90
% 293.42/42.90 [4072] 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)))
% 293.42/42.90 -> [4073] ~distinct_lines(N27_88_3, N27_88_3)
% 293.42/42.90 -> [4074] (distinct_lines(N27_88_3, N27_88_3) | distinct_lines(N27_88_3, N27_88_3))
% 293.42/42.90
% 293.42/42.90 [4074] BETA_OR : (distinct_lines(N27_88_3, N27_88_3) | distinct_lines(N27_88_3, N27_88_3))
% 293.42/42.90 -> [4077] distinct_lines(N27_88_3, N27_88_3)
% 293.42/42.90 -> [4078] distinct_lines(N27_88_3, N27_88_3)
% 293.42/42.90
% 293.42/42.90 [4078] CLOSURE : distinct_lines(N27_88_3, N27_88_3)
% 293.42/42.90
% 293.42/42.90 [4077] CLOSURE : distinct_lines(N27_88_3, N27_88_3)
% 293.42/42.90
% 293.42/42.90 [4073] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.90 -> [4109] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [4109] 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))))
% 293.42/42.90 -> [4125] (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))))
% 293.42/42.90
% 293.42/42.90 [4125] 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))))
% 293.42/42.90 -> [4126] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90 -> [4127] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.90
% 293.42/42.90 [4126] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [4127] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.90 -> [6583] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90 -> [6584] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [6584] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [6583] 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))))))
% 293.42/42.90 -> [7341] ((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)))))
% 293.42/42.90
% 293.42/42.90 [7341] 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)))))
% 293.42/42.90 -> [7342] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.90 -> [7343] ((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))))
% 293.42/42.90
% 293.42/42.90 [7342] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.90 -> [7370] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.90 -> [7371] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [7371] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [7370] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.90
% 293.42/42.90 [7343] 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))))
% 293.42/42.90 -> [13293] (unequally_directed_lines(skolem_M7878, N34_61_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_61_6)))
% 293.42/42.90 -> [13294] (unequally_directed_lines(skolem_N7979, N34_61_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_61_6)))
% 293.42/42.90
% 293.42/42.90 [13293] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_61_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_61_6)))
% 293.42/42.90 -> [13311] unequally_directed_lines(skolem_M7878, N34_61_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_61_6))
% 293.42/42.90
% 293.42/42.90 [13311] 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)))))
% 293.42/42.90 -> [13428] ((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)))))
% 293.42/42.90
% 293.42/42.90 [13428] 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)))))
% 293.42/42.90 -> [13432] ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.90 -> [13433] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))
% 293.42/42.90
% 293.42/42.90 [13432] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.90 -> [13471] ~line(skolem_L7777)
% 293.42/42.90 -> [13472] ~line(line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.90
% 293.42/42.90 [13471] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [13770] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.90
% 293.42/42.90 [13770] 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))))
% 293.42/42.90 -> [13773] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [13774] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90
% 293.42/42.90 [13773] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [13785] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [13786] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [13786] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [13785] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [13774] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [13778] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [13779] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [13779] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [13801] ~(left_apart_point(A39_659_9, L40_659_9) | left_apart_point(A39_659_9, reverse_line(L40_659_9)))
% 293.42/42.90
% 293.42/42.90 [13801] ALPHA_NOT_OR : ~(left_apart_point(A39_659_9, L40_659_9) | left_apart_point(A39_659_9, reverse_line(L40_659_9)))
% 293.42/42.90 -> [13802] ~left_apart_point(A39_659_9, L40_659_9), ~left_apart_point(A39_659_9, reverse_line(L40_659_9))
% 293.42/42.90
% 293.42/42.90 [13802] CLOSURE : ~left_apart_point(A39_659_9, L40_659_9)
% 293.42/42.90
% 293.42/42.90 [13778] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [13806] ~(left_apart_point(A39_660_9, L40_660_9) | left_apart_point(A39_660_9, reverse_line(L40_660_9)))
% 293.42/42.90
% 293.42/42.90 [13806] ALPHA_NOT_OR : ~(left_apart_point(A39_660_9, L40_660_9) | left_apart_point(A39_660_9, reverse_line(L40_660_9)))
% 293.42/42.90 -> [13807] ~left_apart_point(A39_660_9, L40_660_9), ~left_apart_point(A39_660_9, reverse_line(L40_660_9))
% 293.42/42.90
% 293.42/42.90 [13807] CLOSURE : ~left_apart_point(A39_660_9, L40_660_9)
% 293.42/42.90
% 293.42/42.90 [13472] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [13816] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.90
% 293.42/42.90 [13816] 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))))
% 293.42/42.90 -> [13817] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [13818] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90
% 293.42/42.90 [13817] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [13871] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [13872] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [13872] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [13871] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [13818] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [13820] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [13821] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [13821] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [13969] ~(left_apart_point(A39_690_9, L40_690_9) | left_apart_point(A39_690_9, reverse_line(L40_690_9)))
% 293.42/42.90
% 293.42/42.90 [13969] ALPHA_NOT_OR : ~(left_apart_point(A39_690_9, L40_690_9) | left_apart_point(A39_690_9, reverse_line(L40_690_9)))
% 293.42/42.90 -> [13972] ~left_apart_point(A39_690_9, L40_690_9), ~left_apart_point(A39_690_9, reverse_line(L40_690_9))
% 293.42/42.90
% 293.42/42.90 [13972] CLOSURE : ~left_apart_point(A39_690_9, L40_690_9)
% 293.42/42.90
% 293.42/42.90 [13820] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [14036] ~(left_apart_point(A39_695_9, L40_695_9) | left_apart_point(A39_695_9, reverse_line(L40_695_9)))
% 293.42/42.90
% 293.42/42.90 [14036] ALPHA_NOT_OR : ~(left_apart_point(A39_695_9, L40_695_9) | left_apart_point(A39_695_9, reverse_line(L40_695_9)))
% 293.42/42.90 -> [14037] ~left_apart_point(A39_695_9, L40_695_9), ~left_apart_point(A39_695_9, reverse_line(L40_695_9))
% 293.42/42.90
% 293.42/42.90 [14037] CLOSURE : ~left_apart_point(A39_695_9, L40_695_9)
% 293.42/42.90
% 293.42/42.90 [13433] 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))))
% 293.42/42.90 -> [13441] unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.90 -> [13442] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.90
% 293.42/42.90 [13441] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.90
% 293.42/42.90 [13442] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [14734] ((unequally_directed_lines(skolem_M7878, M38_414_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_414_8))) => (left_convergent_lines(skolem_M7878, M38_414_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_414_8))))
% 293.42/42.90
% 293.42/42.90 [14734] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_414_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_414_8))) => (left_convergent_lines(skolem_M7878, M38_414_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_414_8))))
% 293.42/42.90 -> [14735] ~(unequally_directed_lines(skolem_M7878, M38_414_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_414_8)))
% 293.42/42.90 -> [14736] (left_convergent_lines(skolem_M7878, M38_414_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_414_8)))
% 293.42/42.90
% 293.42/42.90 [14735] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_414_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_414_8)))
% 293.42/42.90 -> [14787] ~unequally_directed_lines(skolem_M7878, M38_414_8)
% 293.42/42.90 -> [14788] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_414_8))
% 293.42/42.90
% 293.42/42.90 [14787] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_414_8)
% 293.42/42.90
% 293.42/42.90 [14788] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_414_8))
% 293.42/42.90
% 293.42/42.90 [14736] BETA_OR : (left_convergent_lines(skolem_M7878, M38_414_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_414_8)))
% 293.42/42.90 -> [14739] left_convergent_lines(skolem_M7878, M38_414_8)
% 293.42/42.90 -> [14740] left_convergent_lines(skolem_M7878, reverse_line(M38_414_8))
% 293.42/42.90
% 293.42/42.90 [14740] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [14975] ~(left_apart_point(A39_823_9, L40_823_9) | left_apart_point(A39_823_9, reverse_line(L40_823_9)))
% 293.42/42.90
% 293.42/42.90 [14975] ALPHA_NOT_OR : ~(left_apart_point(A39_823_9, L40_823_9) | left_apart_point(A39_823_9, reverse_line(L40_823_9)))
% 293.42/42.90 -> [14976] ~left_apart_point(A39_823_9, L40_823_9), ~left_apart_point(A39_823_9, reverse_line(L40_823_9))
% 293.42/42.90
% 293.42/42.90 [14976] CLOSURE : ~left_apart_point(A39_823_9, L40_823_9)
% 293.42/42.90
% 293.42/42.90 [14739] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [15032] ~(left_apart_point(A39_829_9, L40_829_9) | left_apart_point(A39_829_9, reverse_line(L40_829_9)))
% 293.42/42.90
% 293.42/42.90 [15032] ALPHA_NOT_OR : ~(left_apart_point(A39_829_9, L40_829_9) | left_apart_point(A39_829_9, reverse_line(L40_829_9)))
% 293.42/42.90 -> [15033] ~left_apart_point(A39_829_9, L40_829_9), ~left_apart_point(A39_829_9, reverse_line(L40_829_9))
% 293.42/42.90
% 293.42/42.90 [15033] CLOSURE : ~left_apart_point(A39_829_9, L40_829_9)
% 293.42/42.90
% 293.42/42.90 [13294] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_61_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_61_6)))
% 293.42/42.90 -> [13298] unequally_directed_lines(skolem_N7979, N34_61_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_61_6))
% 293.42/42.90
% 293.42/42.90 [13298] 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)))))
% 293.42/42.90 -> [13352] ((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)))))
% 293.42/42.90
% 293.42/42.90 [13352] 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)))))
% 293.42/42.90 -> [13358] ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.90 -> [13359] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 293.42/42.90
% 293.42/42.90 [13358] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.90 -> [13384] ~line(reverse_line(skolem_N7979))
% 293.42/42.90 -> [13385] ~line(reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [13384] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [13454] ((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))))
% 293.42/42.90
% 293.42/42.90 [13454] 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))))
% 293.42/42.90 -> [13455] ~(unequally_directed_lines(skolem_N7979, M38_331_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_331_8)))
% 293.42/42.90 -> [13456] (left_convergent_lines(skolem_N7979, M38_331_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_331_8)))
% 293.42/42.90
% 293.42/42.90 [13455] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_331_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_331_8)))
% 293.42/42.90 -> [13497] ~unequally_directed_lines(skolem_N7979, M38_331_8)
% 293.42/42.90 -> [13498] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_331_8))
% 293.42/42.90
% 293.42/42.90 [13498] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_331_8))
% 293.42/42.90
% 293.42/42.90 [13497] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_331_8)
% 293.42/42.90
% 293.42/42.90 [13456] BETA_OR : (left_convergent_lines(skolem_N7979, M38_331_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_331_8)))
% 293.42/42.90 -> [13458] left_convergent_lines(skolem_N7979, M38_331_8)
% 293.42/42.90 -> [13459] left_convergent_lines(skolem_N7979, reverse_line(M38_331_8))
% 293.42/42.90
% 293.42/42.90 [13459] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [13556] ~(left_apart_point(A39_628_9, L40_628_9) | left_apart_point(A39_628_9, reverse_line(L40_628_9)))
% 293.42/42.90
% 293.42/42.90 [13556] ALPHA_NOT_OR : ~(left_apart_point(A39_628_9, L40_628_9) | left_apart_point(A39_628_9, reverse_line(L40_628_9)))
% 293.42/42.90 -> [13560] ~left_apart_point(A39_628_9, L40_628_9), ~left_apart_point(A39_628_9, reverse_line(L40_628_9))
% 293.42/42.90
% 293.42/42.90 [13560] CLOSURE : ~left_apart_point(A39_628_9, L40_628_9)
% 293.42/42.90
% 293.42/42.90 [13458] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [13744] ~(left_apart_point(A39_652_9, L40_652_9) | left_apart_point(A39_652_9, reverse_line(L40_652_9)))
% 293.42/42.90
% 293.42/42.90 [13744] ALPHA_NOT_OR : ~(left_apart_point(A39_652_9, L40_652_9) | left_apart_point(A39_652_9, reverse_line(L40_652_9)))
% 293.42/42.90 -> [13749] ~left_apart_point(A39_652_9, L40_652_9), ~left_apart_point(A39_652_9, reverse_line(L40_652_9))
% 293.42/42.90
% 293.42/42.90 [13749] CLOSURE : ~left_apart_point(A39_652_9, L40_652_9)
% 293.42/42.90
% 293.42/42.90 [13385] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [13429] ((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))))
% 293.42/42.90
% 293.42/42.90 [13429] 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))))
% 293.42/42.90 -> [13434] ~(unequally_directed_lines(skolem_N7979, M38_329_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_329_8)))
% 293.42/42.90 -> [13435] (left_convergent_lines(skolem_N7979, M38_329_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_329_8)))
% 293.42/42.90
% 293.42/42.90 [13435] BETA_OR : (left_convergent_lines(skolem_N7979, M38_329_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_329_8)))
% 293.42/42.90 -> [13443] left_convergent_lines(skolem_N7979, M38_329_8)
% 293.42/42.90 -> [13444] left_convergent_lines(skolem_N7979, reverse_line(M38_329_8))
% 293.42/42.90
% 293.42/42.90 [13444] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [13545] ~(left_apart_point(A39_626_9, L40_626_9) | left_apart_point(A39_626_9, reverse_line(L40_626_9)))
% 293.42/42.90
% 293.42/42.90 [13545] ALPHA_NOT_OR : ~(left_apart_point(A39_626_9, L40_626_9) | left_apart_point(A39_626_9, reverse_line(L40_626_9)))
% 293.42/42.90 -> [13547] ~left_apart_point(A39_626_9, L40_626_9), ~left_apart_point(A39_626_9, reverse_line(L40_626_9))
% 293.42/42.90
% 293.42/42.90 [13547] CLOSURE : ~left_apart_point(A39_626_9, L40_626_9)
% 293.42/42.90
% 293.42/42.90 [13443] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [13565] ~(left_apart_point(A39_631_9, L40_631_9) | left_apart_point(A39_631_9, reverse_line(L40_631_9)))
% 293.42/42.90
% 293.42/42.90 [13565] ALPHA_NOT_OR : ~(left_apart_point(A39_631_9, L40_631_9) | left_apart_point(A39_631_9, reverse_line(L40_631_9)))
% 293.42/42.90 -> [13567] ~left_apart_point(A39_631_9, L40_631_9), ~left_apart_point(A39_631_9, reverse_line(L40_631_9))
% 293.42/42.90
% 293.42/42.90 [13567] CLOSURE : ~left_apart_point(A39_631_9, L40_631_9)
% 293.42/42.90
% 293.42/42.90 [13434] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_329_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_329_8)))
% 293.42/42.90 -> [13469] ~unequally_directed_lines(skolem_N7979, M38_329_8)
% 293.42/42.90 -> [13470] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_329_8))
% 293.42/42.90
% 293.42/42.90 [13470] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_329_8))
% 293.42/42.90
% 293.42/42.90 [13469] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_329_8)
% 293.42/42.90
% 293.42/42.90 [13359] 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))))
% 293.42/42.90 -> [13369] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.90 -> [13370] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 293.42/42.90
% 293.42/42.90 [13369] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [13370] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [15004] ((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))))
% 293.42/42.90
% 293.42/42.90 [15004] 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))))
% 293.42/42.90 -> [15005] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.90 -> [15006] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.90
% 293.42/42.90 [15005] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.90 -> [15110] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.90 -> [15111] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [15111] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [15110] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.90
% 293.42/42.90 [15006] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.90 -> [15009] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.90 -> [15010] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [15010] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [15502] ~(left_apart_point(A39_879_9, L40_879_9) | left_apart_point(A39_879_9, reverse_line(L40_879_9)))
% 293.42/42.90
% 293.42/42.90 [15502] ALPHA_NOT_OR : ~(left_apart_point(A39_879_9, L40_879_9) | left_apart_point(A39_879_9, reverse_line(L40_879_9)))
% 293.42/42.90 -> [15503] ~left_apart_point(A39_879_9, L40_879_9), ~left_apart_point(A39_879_9, reverse_line(L40_879_9))
% 293.42/42.90
% 293.42/42.90 [15503] CLOSURE : ~left_apart_point(A39_879_9, L40_879_9)
% 293.42/42.90
% 293.42/42.90 [15009] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [15640] ~(left_apart_point(A39_893_9, L40_893_9) | left_apart_point(A39_893_9, reverse_line(L40_893_9)))
% 293.42/42.90
% 293.42/42.90 [15640] ALPHA_NOT_OR : ~(left_apart_point(A39_893_9, L40_893_9) | left_apart_point(A39_893_9, reverse_line(L40_893_9)))
% 293.42/42.90 -> [15643] ~left_apart_point(A39_893_9, L40_893_9), ~left_apart_point(A39_893_9, reverse_line(L40_893_9))
% 293.42/42.90
% 293.42/42.90 [15643] CLOSURE : ~left_apart_point(A39_893_9, L40_893_9)
% 293.42/42.90
% 293.42/42.90 [810] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.90 -> [1786] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.90
% 293.42/42.90 [1786] 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))))
% 293.42/42.90 -> [3424] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.90
% 293.42/42.90 [3424] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.90 -> [3427] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.90 -> [3428] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.90
% 293.42/42.90 [3427] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.90
% 293.42/42.90 [3428] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.90 -> [6248] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.90 -> [6249] distinct_points(skolem_C8282, skolem_B8181)
% 293.42/42.90
% 293.42/42.90 [6248] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.90
% 293.42/42.90 [6249] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.90 -> [6740] ~distinct_lines(N27_219_3, N27_219_3)
% 293.42/42.90
% 293.42/42.90 [6740] 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))))
% 293.42/42.90 -> [6828] (distinct_lines(N27_219_3, N27_219_3) => (distinct_lines(N27_219_3, N27_219_3) | distinct_lines(N27_219_3, N27_219_3)))
% 293.42/42.90
% 293.42/42.90 [6828] BETA_IMPLY : (distinct_lines(N27_219_3, N27_219_3) => (distinct_lines(N27_219_3, N27_219_3) | distinct_lines(N27_219_3, N27_219_3)))
% 293.42/42.90 -> [6829] ~distinct_lines(N27_219_3, N27_219_3)
% 293.42/42.90 -> [6830] (distinct_lines(N27_219_3, N27_219_3) | distinct_lines(N27_219_3, N27_219_3))
% 293.42/42.90
% 293.42/42.90 [6830] BETA_OR : (distinct_lines(N27_219_3, N27_219_3) | distinct_lines(N27_219_3, N27_219_3))
% 293.42/42.90 -> [6835] distinct_lines(N27_219_3, N27_219_3)
% 293.42/42.90 -> [6836] distinct_lines(N27_219_3, N27_219_3)
% 293.42/42.90
% 293.42/42.90 [6836] CLOSURE : distinct_lines(N27_219_3, N27_219_3)
% 293.42/42.90
% 293.42/42.90 [6835] CLOSURE : distinct_lines(N27_219_3, N27_219_3)
% 293.42/42.90
% 293.42/42.90 [6829] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.90 -> [6911] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [6911] 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))))
% 293.42/42.90 -> [6970] (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))))
% 293.42/42.90
% 293.42/42.90 [6970] 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))))
% 293.42/42.90 -> [6973] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90 -> [6974] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.90
% 293.42/42.90 [6973] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [6974] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.90 -> [10829] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90 -> [10830] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [10830] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [10829] 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))))))
% 293.42/42.90 -> [14140] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_204_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_204_6))) | (unequally_directed_lines(skolem_N7979, N34_204_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_204_6)))))
% 293.42/42.90
% 293.42/42.90 [14140] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_204_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_204_6))) | (unequally_directed_lines(skolem_N7979, N34_204_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_204_6)))))
% 293.42/42.90 -> [14146] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.90 -> [14147] ((unequally_directed_lines(skolem_M7878, N34_204_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_204_6))) | (unequally_directed_lines(skolem_N7979, N34_204_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_204_6))))
% 293.42/42.90
% 293.42/42.90 [14146] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.90 -> [14211] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.90 -> [14212] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [14212] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [14211] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.90
% 293.42/42.90 [14147] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_204_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_204_6))) | (unequally_directed_lines(skolem_N7979, N34_204_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_204_6))))
% 293.42/42.90 -> [18475] (unequally_directed_lines(skolem_M7878, N34_204_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_204_6)))
% 293.42/42.90 -> [18476] (unequally_directed_lines(skolem_N7979, N34_204_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_204_6)))
% 293.42/42.90
% 293.42/42.90 [18475] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_204_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_204_6)))
% 293.42/42.90 -> [18496] unequally_directed_lines(skolem_M7878, N34_204_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_204_6))
% 293.42/42.90
% 293.42/42.90 [18496] 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)))))
% 293.42/42.90 -> [18573] ((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)))))
% 293.42/42.90
% 293.42/42.90 [18573] 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)))))
% 293.42/42.90 -> [18579] ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.42/42.90 -> [18580] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 293.42/42.90
% 293.42/42.90 [18579] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.42/42.90 -> [18593] ~line(skolem_L7777)
% 293.42/42.90 -> [18594] ~line(line_connecting(skolem_B8181, skolem_C8282))
% 293.42/42.90
% 293.42/42.90 [18594] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [18654] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.90
% 293.42/42.90 [18654] 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))))
% 293.42/42.90 -> [18657] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [18658] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90
% 293.42/42.90 [18657] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [18709] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [18710] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [18710] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [18709] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [18658] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [18662] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [18663] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [18663] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [18830] ~(left_apart_point(A39_1261_9, L40_1261_9) | left_apart_point(A39_1261_9, reverse_line(L40_1261_9)))
% 293.42/42.90
% 293.42/42.90 [18830] ALPHA_NOT_OR : ~(left_apart_point(A39_1261_9, L40_1261_9) | left_apart_point(A39_1261_9, reverse_line(L40_1261_9)))
% 293.42/42.90 -> [18831] ~left_apart_point(A39_1261_9, L40_1261_9), ~left_apart_point(A39_1261_9, reverse_line(L40_1261_9))
% 293.42/42.90
% 293.42/42.90 [18831] CLOSURE : ~left_apart_point(A39_1261_9, L40_1261_9)
% 293.42/42.90
% 293.42/42.90 [18662] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [18867] ~(left_apart_point(A39_1270_9, L40_1270_9) | left_apart_point(A39_1270_9, reverse_line(L40_1270_9)))
% 293.42/42.90
% 293.42/42.90 [18867] ALPHA_NOT_OR : ~(left_apart_point(A39_1270_9, L40_1270_9) | left_apart_point(A39_1270_9, reverse_line(L40_1270_9)))
% 293.42/42.90 -> [18869] ~left_apart_point(A39_1270_9, L40_1270_9), ~left_apart_point(A39_1270_9, reverse_line(L40_1270_9))
% 293.42/42.90
% 293.42/42.90 [18869] CLOSURE : ~left_apart_point(A39_1270_9, L40_1270_9)
% 293.42/42.90
% 293.42/42.90 [18593] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [18699] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.90
% 293.42/42.90 [18699] 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))))
% 293.42/42.90 -> [18700] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [18701] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90
% 293.42/42.90 [18700] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [18739] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [18740] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [18740] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [18739] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [18701] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [18705] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [18706] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [18706] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [18858] ~(left_apart_point(A39_1268_9, L40_1268_9) | left_apart_point(A39_1268_9, reverse_line(L40_1268_9)))
% 293.42/42.90
% 293.42/42.90 [18858] ALPHA_NOT_OR : ~(left_apart_point(A39_1268_9, L40_1268_9) | left_apart_point(A39_1268_9, reverse_line(L40_1268_9)))
% 293.42/42.90 -> [18859] ~left_apart_point(A39_1268_9, L40_1268_9), ~left_apart_point(A39_1268_9, reverse_line(L40_1268_9))
% 293.42/42.90
% 293.42/42.90 [18859] CLOSURE : ~left_apart_point(A39_1268_9, L40_1268_9)
% 293.42/42.90
% 293.42/42.90 [18705] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [18905] ~(left_apart_point(A39_1278_9, L40_1278_9) | left_apart_point(A39_1278_9, reverse_line(L40_1278_9)))
% 293.42/42.90
% 293.42/42.90 [18905] ALPHA_NOT_OR : ~(left_apart_point(A39_1278_9, L40_1278_9) | left_apart_point(A39_1278_9, reverse_line(L40_1278_9)))
% 293.42/42.90 -> [18907] ~left_apart_point(A39_1278_9, L40_1278_9), ~left_apart_point(A39_1278_9, reverse_line(L40_1278_9))
% 293.42/42.90
% 293.42/42.90 [18907] CLOSURE : ~left_apart_point(A39_1278_9, L40_1278_9)
% 293.42/42.90
% 293.42/42.90 [18580] 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))))
% 293.42/42.90 -> [18583] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.42/42.90 -> [18584] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.42/42.90
% 293.42/42.90 [18583] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.42/42.90
% 293.42/42.90 [18584] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [19925] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.90
% 293.42/42.90 [19925] 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))))
% 293.42/42.90 -> [19928] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [19929] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90
% 293.42/42.90 [19928] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [19958] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [19959] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [19959] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [19958] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [19929] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [19932] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [19933] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [19933] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [20018] ~(left_apart_point(A39_1427_9, L40_1427_9) | left_apart_point(A39_1427_9, reverse_line(L40_1427_9)))
% 293.42/42.90
% 293.42/42.90 [20018] ALPHA_NOT_OR : ~(left_apart_point(A39_1427_9, L40_1427_9) | left_apart_point(A39_1427_9, reverse_line(L40_1427_9)))
% 293.42/42.90 -> [20021] ~left_apart_point(A39_1427_9, L40_1427_9), ~left_apart_point(A39_1427_9, reverse_line(L40_1427_9))
% 293.42/42.90
% 293.42/42.90 [20021] CLOSURE : ~left_apart_point(A39_1427_9, L40_1427_9)
% 293.42/42.90
% 293.42/42.90 [19932] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [20030] ~(left_apart_point(A39_1428_9, L40_1428_9) | left_apart_point(A39_1428_9, reverse_line(L40_1428_9)))
% 293.42/42.90
% 293.42/42.90 [20030] ALPHA_NOT_OR : ~(left_apart_point(A39_1428_9, L40_1428_9) | left_apart_point(A39_1428_9, reverse_line(L40_1428_9)))
% 293.42/42.90 -> [20032] ~left_apart_point(A39_1428_9, L40_1428_9), ~left_apart_point(A39_1428_9, reverse_line(L40_1428_9))
% 293.42/42.90
% 293.42/42.90 [20032] CLOSURE : ~left_apart_point(A39_1428_9, L40_1428_9)
% 293.42/42.90
% 293.42/42.90 [18476] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_204_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_204_6)))
% 293.42/42.90 -> [18480] unequally_directed_lines(skolem_N7979, N34_204_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_204_6))
% 293.42/42.90
% 293.42/42.90 [18480] 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)))))
% 293.42/42.90 -> [18543] ((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)))))
% 293.42/42.90
% 293.42/42.90 [18543] 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)))))
% 293.42/42.90 -> [18546] ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.42/42.90 -> [18547] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 293.42/42.90
% 293.42/42.90 [18546] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.42/42.90 -> [18560] ~line(skolem_L7777)
% 293.42/42.90 -> [18561] ~line(line_connecting(skolem_B8181, skolem_C8282))
% 293.42/42.90
% 293.42/42.90 [18561] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [18612] ((unequally_directed_lines(skolem_N7979, M38_647_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_647_8))) => (left_convergent_lines(skolem_N7979, M38_647_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_647_8))))
% 293.42/42.90
% 293.42/42.90 [18612] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_647_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_647_8))) => (left_convergent_lines(skolem_N7979, M38_647_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_647_8))))
% 293.42/42.90 -> [18615] ~(unequally_directed_lines(skolem_N7979, M38_647_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_647_8)))
% 293.42/42.90 -> [18616] (left_convergent_lines(skolem_N7979, M38_647_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_647_8)))
% 293.42/42.90
% 293.42/42.90 [18615] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_647_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_647_8)))
% 293.42/42.90 -> [18640] ~unequally_directed_lines(skolem_N7979, M38_647_8)
% 293.42/42.90 -> [18641] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_647_8))
% 293.42/42.90
% 293.42/42.90 [18640] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_647_8)
% 293.42/42.90
% 293.42/42.90 [18641] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_647_8))
% 293.42/42.90
% 293.42/42.90 [18616] BETA_OR : (left_convergent_lines(skolem_N7979, M38_647_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_647_8)))
% 293.42/42.90 -> [18617] left_convergent_lines(skolem_N7979, M38_647_8)
% 293.42/42.90 -> [18618] left_convergent_lines(skolem_N7979, reverse_line(M38_647_8))
% 293.42/42.90
% 293.42/42.90 [18618] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [18771] ~(left_apart_point(A39_1257_9, L40_1257_9) | left_apart_point(A39_1257_9, reverse_line(L40_1257_9)))
% 293.42/42.90
% 293.42/42.90 [18771] ALPHA_NOT_OR : ~(left_apart_point(A39_1257_9, L40_1257_9) | left_apart_point(A39_1257_9, reverse_line(L40_1257_9)))
% 293.42/42.90 -> [18772] ~left_apart_point(A39_1257_9, L40_1257_9), ~left_apart_point(A39_1257_9, reverse_line(L40_1257_9))
% 293.42/42.90
% 293.42/42.90 [18772] CLOSURE : ~left_apart_point(A39_1257_9, L40_1257_9)
% 293.42/42.90
% 293.42/42.90 [18617] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [18808] ~(left_apart_point(A39_1258_9, L40_1258_9) | left_apart_point(A39_1258_9, reverse_line(L40_1258_9)))
% 293.42/42.90
% 293.42/42.90 [18808] ALPHA_NOT_OR : ~(left_apart_point(A39_1258_9, L40_1258_9) | left_apart_point(A39_1258_9, reverse_line(L40_1258_9)))
% 293.42/42.90 -> [18809] ~left_apart_point(A39_1258_9, L40_1258_9), ~left_apart_point(A39_1258_9, reverse_line(L40_1258_9))
% 293.42/42.90
% 293.42/42.90 [18809] CLOSURE : ~left_apart_point(A39_1258_9, L40_1258_9)
% 293.42/42.90
% 293.42/42.90 [18560] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [18674] ((unequally_directed_lines(skolem_N7979, M38_651_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_651_8))) => (left_convergent_lines(skolem_N7979, M38_651_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_651_8))))
% 293.42/42.90
% 293.42/42.90 [18674] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_651_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_651_8))) => (left_convergent_lines(skolem_N7979, M38_651_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_651_8))))
% 293.42/42.90 -> [18679] ~(unequally_directed_lines(skolem_N7979, M38_651_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_651_8)))
% 293.42/42.90 -> [18680] (left_convergent_lines(skolem_N7979, M38_651_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_651_8)))
% 293.42/42.90
% 293.42/42.90 [18679] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_651_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_651_8)))
% 293.42/42.90 -> [18717] ~unequally_directed_lines(skolem_N7979, M38_651_8)
% 293.42/42.90 -> [18718] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_651_8))
% 293.42/42.90
% 293.42/42.90 [18718] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_651_8))
% 293.42/42.90
% 293.42/42.90 [18717] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_651_8)
% 293.42/42.90
% 293.42/42.90 [18680] BETA_OR : (left_convergent_lines(skolem_N7979, M38_651_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_651_8)))
% 293.42/42.90 -> [18686] left_convergent_lines(skolem_N7979, M38_651_8)
% 293.42/42.90 -> [18687] left_convergent_lines(skolem_N7979, reverse_line(M38_651_8))
% 293.42/42.90
% 293.42/42.90 [18687] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [18840] ~(left_apart_point(A39_1263_9, L40_1263_9) | left_apart_point(A39_1263_9, reverse_line(L40_1263_9)))
% 293.42/42.90
% 293.42/42.90 [18840] ALPHA_NOT_OR : ~(left_apart_point(A39_1263_9, L40_1263_9) | left_apart_point(A39_1263_9, reverse_line(L40_1263_9)))
% 293.42/42.90 -> [18842] ~left_apart_point(A39_1263_9, L40_1263_9), ~left_apart_point(A39_1263_9, reverse_line(L40_1263_9))
% 293.42/42.90
% 293.42/42.90 [18842] CLOSURE : ~left_apart_point(A39_1263_9, L40_1263_9)
% 293.42/42.90
% 293.42/42.90 [18686] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [18874] ~(left_apart_point(A39_1272_9, L40_1272_9) | left_apart_point(A39_1272_9, reverse_line(L40_1272_9)))
% 293.42/42.90
% 293.42/42.90 [18874] ALPHA_NOT_OR : ~(left_apart_point(A39_1272_9, L40_1272_9) | left_apart_point(A39_1272_9, reverse_line(L40_1272_9)))
% 293.42/42.90 -> [18875] ~left_apart_point(A39_1272_9, L40_1272_9), ~left_apart_point(A39_1272_9, reverse_line(L40_1272_9))
% 293.42/42.90
% 293.42/42.90 [18875] CLOSURE : ~left_apart_point(A39_1272_9, L40_1272_9)
% 293.42/42.90
% 293.42/42.90 [18547] 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))))
% 293.42/42.90 -> [18552] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.42/42.90 -> [18553] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.42/42.90
% 293.42/42.90 [18552] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.42/42.90
% 293.42/42.90 [18553] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [19968] ((unequally_directed_lines(skolem_N7979, M38_739_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_739_8))) => (left_convergent_lines(skolem_N7979, M38_739_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_739_8))))
% 293.42/42.90
% 293.42/42.90 [19968] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_739_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_739_8))) => (left_convergent_lines(skolem_N7979, M38_739_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_739_8))))
% 293.42/42.90 -> [19969] ~(unequally_directed_lines(skolem_N7979, M38_739_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_739_8)))
% 293.42/42.90 -> [19970] (left_convergent_lines(skolem_N7979, M38_739_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_739_8)))
% 293.42/42.90
% 293.42/42.90 [19969] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_739_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_739_8)))
% 293.42/42.90 -> [19987] ~unequally_directed_lines(skolem_N7979, M38_739_8)
% 293.42/42.90 -> [19988] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_739_8))
% 293.42/42.90
% 293.42/42.90 [19988] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_739_8))
% 293.42/42.90
% 293.42/42.90 [19987] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_739_8)
% 293.42/42.90
% 293.42/42.90 [19970] BETA_OR : (left_convergent_lines(skolem_N7979, M38_739_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_739_8)))
% 293.42/42.90 -> [19971] left_convergent_lines(skolem_N7979, M38_739_8)
% 293.42/42.90 -> [19972] left_convergent_lines(skolem_N7979, reverse_line(M38_739_8))
% 293.42/42.90
% 293.42/42.90 [19971] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [20062] ~(left_apart_point(A39_1429_9, L40_1429_9) | left_apart_point(A39_1429_9, reverse_line(L40_1429_9)))
% 293.42/42.90
% 293.42/42.90 [20062] ALPHA_NOT_OR : ~(left_apart_point(A39_1429_9, L40_1429_9) | left_apart_point(A39_1429_9, reverse_line(L40_1429_9)))
% 293.42/42.90 -> [20066] ~left_apart_point(A39_1429_9, L40_1429_9), ~left_apart_point(A39_1429_9, reverse_line(L40_1429_9))
% 293.42/42.90
% 293.42/42.90 [20066] CLOSURE : ~left_apart_point(A39_1429_9, L40_1429_9)
% 293.42/42.90
% 293.42/42.90 [19972] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [20103] ~(left_apart_point(A39_1437_9, L40_1437_9) | left_apart_point(A39_1437_9, reverse_line(L40_1437_9)))
% 293.42/42.90
% 293.42/42.90 [20103] ALPHA_NOT_OR : ~(left_apart_point(A39_1437_9, L40_1437_9) | left_apart_point(A39_1437_9, reverse_line(L40_1437_9)))
% 293.42/42.90 -> [20104] ~left_apart_point(A39_1437_9, L40_1437_9), ~left_apart_point(A39_1437_9, reverse_line(L40_1437_9))
% 293.42/42.90
% 293.42/42.90 [20104] CLOSURE : ~left_apart_point(A39_1437_9, L40_1437_9)
% 293.42/42.90
% 293.42/42.90 [343] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.90 -> [632] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.42/42.90 -> [633] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [633] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.90 -> [1390] ~distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.90
% 293.42/42.90 [1390] 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))))
% 293.42/42.90 -> [1523] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.90
% 293.42/42.90 [1523] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.90 -> [1525] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.90 -> [1526] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.90
% 293.42/42.90 [1525] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.90
% 293.42/42.90 [1526] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.90 -> [4569] distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.90 -> [4570] distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.90
% 293.42/42.90 [4570] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.90
% 293.42/42.90 [4569] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.90 -> [4884] ~distinct_lines(N27_132_3, N27_132_3)
% 293.42/42.90
% 293.42/42.90 [4884] 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))))
% 293.42/42.90 -> [4979] (distinct_lines(N27_132_3, N27_132_3) => (distinct_lines(N27_132_3, N27_132_3) | distinct_lines(N27_132_3, N27_132_3)))
% 293.42/42.90
% 293.42/42.90 [4979] BETA_IMPLY : (distinct_lines(N27_132_3, N27_132_3) => (distinct_lines(N27_132_3, N27_132_3) | distinct_lines(N27_132_3, N27_132_3)))
% 293.42/42.90 -> [4980] ~distinct_lines(N27_132_3, N27_132_3)
% 293.42/42.90 -> [4981] (distinct_lines(N27_132_3, N27_132_3) | distinct_lines(N27_132_3, N27_132_3))
% 293.42/42.90
% 293.42/42.90 [4981] BETA_OR : (distinct_lines(N27_132_3, N27_132_3) | distinct_lines(N27_132_3, N27_132_3))
% 293.42/42.90 -> [4982] distinct_lines(N27_132_3, N27_132_3)
% 293.42/42.90 -> [4983] distinct_lines(N27_132_3, N27_132_3)
% 293.42/42.90
% 293.42/42.90 [4983] CLOSURE : distinct_lines(N27_132_3, N27_132_3)
% 293.42/42.90
% 293.42/42.90 [4982] CLOSURE : distinct_lines(N27_132_3, N27_132_3)
% 293.42/42.90
% 293.42/42.90 [4980] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.90 -> [5192] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [5192] 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))))
% 293.42/42.90 -> [5536] (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))))
% 293.42/42.90
% 293.42/42.90 [5536] 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))))
% 293.42/42.90 -> [5537] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90 -> [5538] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.90
% 293.42/42.90 [5537] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [5538] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.90 -> [9407] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90 -> [9408] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [9408] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [9407] 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))))))
% 293.42/42.90 -> [9461] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_103_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_103_6))) | (unequally_directed_lines(skolem_N7979, N34_103_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_103_6)))))
% 293.42/42.90
% 293.42/42.90 [9461] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_103_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_103_6))) | (unequally_directed_lines(skolem_N7979, N34_103_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_103_6)))))
% 293.42/42.90 -> [9462] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.90 -> [9463] ((unequally_directed_lines(skolem_M7878, N34_103_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_103_6))) | (unequally_directed_lines(skolem_N7979, N34_103_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_103_6))))
% 293.42/42.90
% 293.42/42.90 [9462] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.90 -> [9470] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.90 -> [9471] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [9471] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [9470] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.90
% 293.42/42.90 [9463] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_103_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_103_6))) | (unequally_directed_lines(skolem_N7979, N34_103_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_103_6))))
% 293.42/42.90 -> [9959] (unequally_directed_lines(skolem_M7878, N34_103_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_103_6)))
% 293.42/42.90 -> [9960] (unequally_directed_lines(skolem_N7979, N34_103_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_103_6)))
% 293.42/42.90
% 293.42/42.90 [9959] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_103_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_103_6)))
% 293.42/42.90 -> [9971] unequally_directed_lines(skolem_M7878, N34_103_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_103_6))
% 293.42/42.90
% 293.42/42.90 [9971] 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)))))
% 293.42/42.90 -> [9998] ((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)))))
% 293.42/42.90
% 293.42/42.90 [9998] 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)))))
% 293.42/42.90 -> [10001] ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.42/42.90 -> [10002] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 293.42/42.90
% 293.42/42.90 [10001] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.42/42.90 -> [10019] ~line(skolem_L7777)
% 293.42/42.90 -> [10020] ~line(line_connecting(skolem_B8181, skolem_C8282))
% 293.42/42.90
% 293.42/42.90 [10020] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [10074] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.90
% 293.42/42.90 [10074] 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))))
% 293.42/42.90 -> [10075] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [10076] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90
% 293.42/42.90 [10075] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [10096] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [10097] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [10097] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [10096] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [10076] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [10077] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [10078] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [10078] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [10160] ~(left_apart_point(A39_299_9, L40_299_9) | left_apart_point(A39_299_9, reverse_line(L40_299_9)))
% 293.42/42.90
% 293.42/42.90 [10160] ALPHA_NOT_OR : ~(left_apart_point(A39_299_9, L40_299_9) | left_apart_point(A39_299_9, reverse_line(L40_299_9)))
% 293.42/42.90 -> [10161] ~left_apart_point(A39_299_9, L40_299_9), ~left_apart_point(A39_299_9, reverse_line(L40_299_9))
% 293.42/42.90
% 293.42/42.90 [10161] CLOSURE : ~left_apart_point(A39_299_9, L40_299_9)
% 293.42/42.90
% 293.42/42.90 [10077] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [10179] ~(left_apart_point(A39_307_9, L40_307_9) | left_apart_point(A39_307_9, reverse_line(L40_307_9)))
% 293.42/42.90
% 293.42/42.90 [10179] ALPHA_NOT_OR : ~(left_apart_point(A39_307_9, L40_307_9) | left_apart_point(A39_307_9, reverse_line(L40_307_9)))
% 293.42/42.90 -> [10180] ~left_apart_point(A39_307_9, L40_307_9), ~left_apart_point(A39_307_9, reverse_line(L40_307_9))
% 293.42/42.90
% 293.42/42.90 [10180] CLOSURE : ~left_apart_point(A39_307_9, L40_307_9)
% 293.42/42.90
% 293.42/42.90 [10019] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [10084] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.90
% 293.42/42.90 [10084] 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))))
% 293.42/42.90 -> [10085] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [10086] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90
% 293.42/42.90 [10085] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [10104] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [10105] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [10105] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [10104] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [10086] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [10092] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [10093] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [10093] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [10171] ~(left_apart_point(A39_305_9, L40_305_9) | left_apart_point(A39_305_9, reverse_line(L40_305_9)))
% 293.42/42.90
% 293.42/42.90 [10171] ALPHA_NOT_OR : ~(left_apart_point(A39_305_9, L40_305_9) | left_apart_point(A39_305_9, reverse_line(L40_305_9)))
% 293.42/42.90 -> [10173] ~left_apart_point(A39_305_9, L40_305_9), ~left_apart_point(A39_305_9, reverse_line(L40_305_9))
% 293.42/42.90
% 293.42/42.90 [10173] CLOSURE : ~left_apart_point(A39_305_9, L40_305_9)
% 293.42/42.90
% 293.42/42.90 [10092] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [10192] ~(left_apart_point(A39_309_9, L40_309_9) | left_apart_point(A39_309_9, reverse_line(L40_309_9)))
% 293.42/42.90
% 293.42/42.90 [10192] ALPHA_NOT_OR : ~(left_apart_point(A39_309_9, L40_309_9) | left_apart_point(A39_309_9, reverse_line(L40_309_9)))
% 293.42/42.90 -> [10193] ~left_apart_point(A39_309_9, L40_309_9), ~left_apart_point(A39_309_9, reverse_line(L40_309_9))
% 293.42/42.90
% 293.42/42.90 [10193] CLOSURE : ~left_apart_point(A39_309_9, L40_309_9)
% 293.42/42.90
% 293.42/42.90 [10002] 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))))
% 293.42/42.90 -> [10005] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.42/42.90 -> [10006] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.42/42.90
% 293.42/42.90 [10005] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.42/42.90
% 293.42/42.90 [10006] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [10234] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.90
% 293.42/42.90 [10234] 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))))
% 293.42/42.90 -> [10236] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [10237] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90
% 293.42/42.90 [10236] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [10247] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [10248] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [10248] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [10247] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [10237] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [10241] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [10242] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [10242] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [10279] ~(left_apart_point(A39_319_9, L40_319_9) | left_apart_point(A39_319_9, reverse_line(L40_319_9)))
% 293.42/42.90
% 293.42/42.90 [10279] ALPHA_NOT_OR : ~(left_apart_point(A39_319_9, L40_319_9) | left_apart_point(A39_319_9, reverse_line(L40_319_9)))
% 293.42/42.90 -> [10291] ~left_apart_point(A39_319_9, L40_319_9), ~left_apart_point(A39_319_9, reverse_line(L40_319_9))
% 293.42/42.90
% 293.42/42.90 [10291] CLOSURE : ~left_apart_point(A39_319_9, L40_319_9)
% 293.42/42.90
% 293.42/42.90 [10241] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [10295] ~(left_apart_point(A39_321_9, L40_321_9) | left_apart_point(A39_321_9, reverse_line(L40_321_9)))
% 293.42/42.90
% 293.42/42.90 [10295] ALPHA_NOT_OR : ~(left_apart_point(A39_321_9, L40_321_9) | left_apart_point(A39_321_9, reverse_line(L40_321_9)))
% 293.42/42.90 -> [10296] ~left_apart_point(A39_321_9, L40_321_9), ~left_apart_point(A39_321_9, reverse_line(L40_321_9))
% 293.42/42.90
% 293.42/42.90 [10296] CLOSURE : ~left_apart_point(A39_321_9, L40_321_9)
% 293.42/42.90
% 293.42/42.90 [9960] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_103_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_103_6)))
% 293.42/42.90 -> [9965] unequally_directed_lines(skolem_N7979, N34_103_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_103_6))
% 293.42/42.90
% 293.42/42.90 [9965] 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)))))
% 293.42/42.90 -> [9989] ((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)))))
% 293.42/42.90
% 293.42/42.90 [9989] 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)))))
% 293.42/42.90 -> [9990] ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.90 -> [9991] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 293.42/42.90
% 293.42/42.90 [9990] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.90 -> [10010] ~line(reverse_line(skolem_N7979))
% 293.42/42.90 -> [10011] ~line(reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [10010] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [10089] ((unequally_directed_lines(skolem_N7979, M38_167_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_167_8))) => (left_convergent_lines(skolem_N7979, M38_167_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_167_8))))
% 293.42/42.90
% 293.42/42.90 [10089] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_167_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_167_8))) => (left_convergent_lines(skolem_N7979, M38_167_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_167_8))))
% 293.42/42.90 -> [10090] ~(unequally_directed_lines(skolem_N7979, M38_167_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_167_8)))
% 293.42/42.90 -> [10091] (left_convergent_lines(skolem_N7979, M38_167_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_167_8)))
% 293.42/42.90
% 293.42/42.90 [10090] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_167_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_167_8)))
% 293.42/42.90 -> [10098] ~unequally_directed_lines(skolem_N7979, M38_167_8)
% 293.42/42.90 -> [10099] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_167_8))
% 293.42/42.90
% 293.42/42.90 [10099] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_167_8))
% 293.42/42.90
% 293.42/42.90 [10098] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_167_8)
% 293.42/42.90
% 293.42/42.90 [10091] BETA_OR : (left_convergent_lines(skolem_N7979, M38_167_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_167_8)))
% 293.42/42.90 -> [10094] left_convergent_lines(skolem_N7979, M38_167_8)
% 293.42/42.90 -> [10095] left_convergent_lines(skolem_N7979, reverse_line(M38_167_8))
% 293.42/42.90
% 293.42/42.90 [10095] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [10140] ~(left_apart_point(A39_295_9, L40_295_9) | left_apart_point(A39_295_9, reverse_line(L40_295_9)))
% 293.42/42.90
% 293.42/42.90 [10140] ALPHA_NOT_OR : ~(left_apart_point(A39_295_9, L40_295_9) | left_apart_point(A39_295_9, reverse_line(L40_295_9)))
% 293.42/42.90 -> [10141] ~left_apart_point(A39_295_9, L40_295_9), ~left_apart_point(A39_295_9, reverse_line(L40_295_9))
% 293.42/42.90
% 293.42/42.90 [10141] CLOSURE : ~left_apart_point(A39_295_9, L40_295_9)
% 293.42/42.90
% 293.42/42.90 [10094] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [10154] ~(left_apart_point(A39_297_9, L40_297_9) | left_apart_point(A39_297_9, reverse_line(L40_297_9)))
% 293.42/42.90
% 293.42/42.90 [10154] ALPHA_NOT_OR : ~(left_apart_point(A39_297_9, L40_297_9) | left_apart_point(A39_297_9, reverse_line(L40_297_9)))
% 293.42/42.90 -> [10155] ~left_apart_point(A39_297_9, L40_297_9), ~left_apart_point(A39_297_9, reverse_line(L40_297_9))
% 293.42/42.90
% 293.42/42.90 [10155] CLOSURE : ~left_apart_point(A39_297_9, L40_297_9)
% 293.42/42.90
% 293.42/42.90 [10011] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [10051] ((unequally_directed_lines(skolem_N7979, M38_164_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_164_8))) => (left_convergent_lines(skolem_N7979, M38_164_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_164_8))))
% 293.42/42.90
% 293.42/42.90 [10051] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_164_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_164_8))) => (left_convergent_lines(skolem_N7979, M38_164_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_164_8))))
% 293.42/42.90 -> [10056] ~(unequally_directed_lines(skolem_N7979, M38_164_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_164_8)))
% 293.42/42.90 -> [10057] (left_convergent_lines(skolem_N7979, M38_164_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_164_8)))
% 293.42/42.90
% 293.42/42.90 [10057] BETA_OR : (left_convergent_lines(skolem_N7979, M38_164_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_164_8)))
% 293.42/42.90 -> [10059] left_convergent_lines(skolem_N7979, M38_164_8)
% 293.42/42.90 -> [10060] left_convergent_lines(skolem_N7979, reverse_line(M38_164_8))
% 293.42/42.90
% 293.42/42.90 [10059] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [10168] ~(left_apart_point(A39_303_9, L40_303_9) | left_apart_point(A39_303_9, reverse_line(L40_303_9)))
% 293.42/42.90
% 293.42/42.90 [10168] ALPHA_NOT_OR : ~(left_apart_point(A39_303_9, L40_303_9) | left_apart_point(A39_303_9, reverse_line(L40_303_9)))
% 293.42/42.90 -> [10170] ~left_apart_point(A39_303_9, L40_303_9), ~left_apart_point(A39_303_9, reverse_line(L40_303_9))
% 293.42/42.90
% 293.42/42.90 [10170] CLOSURE : ~left_apart_point(A39_303_9, L40_303_9)
% 293.42/42.90
% 293.42/42.90 [10060] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [10144] ~(left_apart_point(A39_296_9, L40_296_9) | left_apart_point(A39_296_9, reverse_line(L40_296_9)))
% 293.42/42.90
% 293.42/42.90 [10144] ALPHA_NOT_OR : ~(left_apart_point(A39_296_9, L40_296_9) | left_apart_point(A39_296_9, reverse_line(L40_296_9)))
% 293.42/42.90 -> [10146] ~left_apart_point(A39_296_9, L40_296_9), ~left_apart_point(A39_296_9, reverse_line(L40_296_9))
% 293.42/42.90
% 293.42/42.90 [10146] CLOSURE : ~left_apart_point(A39_296_9, L40_296_9)
% 293.42/42.90
% 293.42/42.90 [10056] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_164_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_164_8)))
% 293.42/42.90 -> [10109] ~unequally_directed_lines(skolem_N7979, M38_164_8)
% 293.42/42.90 -> [10110] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_164_8))
% 293.42/42.90
% 293.42/42.90 [10110] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_164_8))
% 293.42/42.90
% 293.42/42.90 [10109] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_164_8)
% 293.42/42.90
% 293.42/42.90 [9991] 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))))
% 293.42/42.90 -> [9995] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.90 -> [9996] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 293.42/42.90
% 293.42/42.90 [9995] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [9996] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [11785] ((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))))
% 293.42/42.90
% 293.42/42.90 [11785] 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))))
% 293.42/42.90 -> [11788] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.90 -> [11789] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.90
% 293.42/42.90 [11788] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.90 -> [11899] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.90 -> [11900] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [11900] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [11899] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.90
% 293.42/42.90 [11789] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.90 -> [11793] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.90 -> [11794] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [11794] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [12081] ~(left_apart_point(A39_494_9, L40_494_9) | left_apart_point(A39_494_9, reverse_line(L40_494_9)))
% 293.42/42.90
% 293.42/42.90 [12081] ALPHA_NOT_OR : ~(left_apart_point(A39_494_9, L40_494_9) | left_apart_point(A39_494_9, reverse_line(L40_494_9)))
% 293.42/42.90 -> [12082] ~left_apart_point(A39_494_9, L40_494_9), ~left_apart_point(A39_494_9, reverse_line(L40_494_9))
% 293.42/42.90
% 293.42/42.90 [12082] CLOSURE : ~left_apart_point(A39_494_9, L40_494_9)
% 293.42/42.90
% 293.42/42.90 [11793] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [12116] ~(left_apart_point(A39_501_9, L40_501_9) | left_apart_point(A39_501_9, reverse_line(L40_501_9)))
% 293.42/42.90
% 293.42/42.90 [12116] ALPHA_NOT_OR : ~(left_apart_point(A39_501_9, L40_501_9) | left_apart_point(A39_501_9, reverse_line(L40_501_9)))
% 293.42/42.90 -> [12118] ~left_apart_point(A39_501_9, L40_501_9), ~left_apart_point(A39_501_9, reverse_line(L40_501_9))
% 293.42/42.90
% 293.42/42.90 [12118] CLOSURE : ~left_apart_point(A39_501_9, L40_501_9)
% 293.42/42.90
% 293.42/42.90 [632] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.90 -> [1253] ~distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.90
% 293.42/42.90 [1253] 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))))
% 293.42/42.90 -> [1281] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.90
% 293.42/42.90 [1281] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.90 -> [1286] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.90 -> [1287] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.90
% 293.42/42.90 [1286] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.90
% 293.42/42.90 [1287] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.90 -> [2051] distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.90 -> [2052] distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.90
% 293.42/42.90 [2052] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.90
% 293.42/42.90 [2051] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.90 -> [2080] ~distinct_lines(N27_8_3, N27_8_3)
% 293.42/42.90
% 293.42/42.90 [2080] 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))))
% 293.42/42.90 -> [2087] (distinct_lines(N27_8_3, N27_8_3) => (distinct_lines(N27_8_3, N27_8_3) | distinct_lines(N27_8_3, N27_8_3)))
% 293.42/42.90
% 293.42/42.90 [2087] 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)))
% 293.42/42.90 -> [2097] ~distinct_lines(N27_8_3, N27_8_3)
% 293.42/42.90 -> [2098] (distinct_lines(N27_8_3, N27_8_3) | distinct_lines(N27_8_3, N27_8_3))
% 293.42/42.90
% 293.42/42.90 [2098] BETA_OR : (distinct_lines(N27_8_3, N27_8_3) | distinct_lines(N27_8_3, N27_8_3))
% 293.42/42.90 -> [2107] distinct_lines(N27_8_3, N27_8_3)
% 293.42/42.90 -> [2108] distinct_lines(N27_8_3, N27_8_3)
% 293.42/42.90
% 293.42/42.90 [2108] CLOSURE : distinct_lines(N27_8_3, N27_8_3)
% 293.42/42.90
% 293.42/42.90 [2107] CLOSURE : distinct_lines(N27_8_3, N27_8_3)
% 293.42/42.90
% 293.42/42.90 [2097] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.90 -> [2167] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [2167] 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))))
% 293.42/42.90 -> [2271] (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))))
% 293.42/42.90
% 293.42/42.90 [2271] 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))))
% 293.42/42.90 -> [2273] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90 -> [2274] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.90
% 293.42/42.90 [2273] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [2274] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.90 -> [7072] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90 -> [7073] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [7073] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [7072] 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))))))
% 293.42/42.90 -> [7613] ((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)))))
% 293.42/42.90
% 293.42/42.90 [7613] 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)))))
% 293.42/42.90 -> [7616] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.90 -> [7617] ((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))))
% 293.42/42.90
% 293.42/42.90 [7616] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.90 -> [7665] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.90 -> [7666] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [7666] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [7665] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.90
% 293.42/42.90 [7617] 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))))
% 293.42/42.90 -> [12388] (unequally_directed_lines(skolem_M7878, N34_69_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_69_6)))
% 293.42/42.90 -> [12389] (unequally_directed_lines(skolem_N7979, N34_69_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_69_6)))
% 293.42/42.90
% 293.42/42.90 [12388] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_69_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_69_6)))
% 293.42/42.90 -> [12469] unequally_directed_lines(skolem_M7878, N34_69_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_69_6))
% 293.42/42.90
% 293.42/42.90 [12469] 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)))))
% 293.42/42.90 -> [13083] ((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)))))
% 293.42/42.90
% 293.42/42.90 [13083] 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)))))
% 293.42/42.90 -> [13084] ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.90 -> [13085] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))
% 293.42/42.90
% 293.42/42.90 [13084] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.90 -> [13088] ~line(skolem_L7777)
% 293.42/42.90 -> [13089] ~line(line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.90
% 293.42/42.90 [13088] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [13156] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.90
% 293.42/42.90 [13156] 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))))
% 293.42/42.90 -> [13157] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [13158] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90
% 293.42/42.90 [13157] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [13180] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [13181] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [13181] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [13180] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [13158] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [13159] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [13160] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [13160] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [13258] ~(left_apart_point(A39_610_9, L40_610_9) | left_apart_point(A39_610_9, reverse_line(L40_610_9)))
% 293.42/42.90
% 293.42/42.90 [13258] ALPHA_NOT_OR : ~(left_apart_point(A39_610_9, L40_610_9) | left_apart_point(A39_610_9, reverse_line(L40_610_9)))
% 293.42/42.90 -> [13259] ~left_apart_point(A39_610_9, L40_610_9), ~left_apart_point(A39_610_9, reverse_line(L40_610_9))
% 293.42/42.90
% 293.42/42.90 [13259] CLOSURE : ~left_apart_point(A39_610_9, L40_610_9)
% 293.42/42.90
% 293.42/42.90 [13159] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [13288] ~(left_apart_point(A39_614_9, L40_614_9) | left_apart_point(A39_614_9, reverse_line(L40_614_9)))
% 293.42/42.90
% 293.42/42.90 [13288] ALPHA_NOT_OR : ~(left_apart_point(A39_614_9, L40_614_9) | left_apart_point(A39_614_9, reverse_line(L40_614_9)))
% 293.42/42.90 -> [13289] ~left_apart_point(A39_614_9, L40_614_9), ~left_apart_point(A39_614_9, reverse_line(L40_614_9))
% 293.42/42.90
% 293.42/42.90 [13289] CLOSURE : ~left_apart_point(A39_614_9, L40_614_9)
% 293.42/42.90
% 293.42/42.90 [13089] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [13144] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.90
% 293.42/42.90 [13144] 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))))
% 293.42/42.90 -> [13145] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [13146] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90
% 293.42/42.90 [13146] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [13150] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [13151] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [13151] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [13233] ~(left_apart_point(A39_608_9, L40_608_9) | left_apart_point(A39_608_9, reverse_line(L40_608_9)))
% 293.42/42.90
% 293.42/42.90 [13233] ALPHA_NOT_OR : ~(left_apart_point(A39_608_9, L40_608_9) | left_apart_point(A39_608_9, reverse_line(L40_608_9)))
% 293.42/42.90 -> [13235] ~left_apart_point(A39_608_9, L40_608_9), ~left_apart_point(A39_608_9, reverse_line(L40_608_9))
% 293.42/42.90
% 293.42/42.90 [13235] CLOSURE : ~left_apart_point(A39_608_9, L40_608_9)
% 293.42/42.90
% 293.42/42.90 [13150] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [13273] ~(left_apart_point(A39_611_9, L40_611_9) | left_apart_point(A39_611_9, reverse_line(L40_611_9)))
% 293.42/42.90
% 293.42/42.90 [13273] ALPHA_NOT_OR : ~(left_apart_point(A39_611_9, L40_611_9) | left_apart_point(A39_611_9, reverse_line(L40_611_9)))
% 293.42/42.90 -> [13274] ~left_apart_point(A39_611_9, L40_611_9), ~left_apart_point(A39_611_9, reverse_line(L40_611_9))
% 293.42/42.90
% 293.42/42.90 [13274] CLOSURE : ~left_apart_point(A39_611_9, L40_611_9)
% 293.42/42.90
% 293.42/42.90 [13145] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [13165] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [13166] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [13166] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [13165] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [13085] 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))))
% 293.42/42.90 -> [13086] unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.90 -> [13087] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.90
% 293.42/42.90 [13086] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.90
% 293.42/42.90 [13087] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [15682] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.90
% 293.42/42.90 [15682] 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))))
% 293.42/42.90 -> [15685] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [15686] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90
% 293.42/42.90 [15686] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [15693] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [15694] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [15694] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [16308] ~(left_apart_point(A39_944_9, L40_944_9) | left_apart_point(A39_944_9, reverse_line(L40_944_9)))
% 293.42/42.90
% 293.42/42.90 [16308] ALPHA_NOT_OR : ~(left_apart_point(A39_944_9, L40_944_9) | left_apart_point(A39_944_9, reverse_line(L40_944_9)))
% 293.42/42.90 -> [16309] ~left_apart_point(A39_944_9, L40_944_9), ~left_apart_point(A39_944_9, reverse_line(L40_944_9))
% 293.42/42.90
% 293.42/42.90 [16309] CLOSURE : ~left_apart_point(A39_944_9, L40_944_9)
% 293.42/42.90
% 293.42/42.90 [15693] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [16383] ~(left_apart_point(A39_956_9, L40_956_9) | left_apart_point(A39_956_9, reverse_line(L40_956_9)))
% 293.42/42.90
% 293.42/42.90 [16383] ALPHA_NOT_OR : ~(left_apart_point(A39_956_9, L40_956_9) | left_apart_point(A39_956_9, reverse_line(L40_956_9)))
% 293.42/42.90 -> [16386] ~left_apart_point(A39_956_9, L40_956_9), ~left_apart_point(A39_956_9, reverse_line(L40_956_9))
% 293.42/42.90
% 293.42/42.90 [16386] CLOSURE : ~left_apart_point(A39_956_9, L40_956_9)
% 293.42/42.90
% 293.42/42.90 [15685] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [15789] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [15791] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [15791] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [15789] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [12389] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_69_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_69_6)))
% 293.42/42.90 -> [12390] unequally_directed_lines(skolem_N7979, N34_69_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_69_6))
% 293.42/42.90
% 293.42/42.90 [12390] 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)))))
% 293.42/42.90 -> [15831] ((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)))))
% 293.42/42.90
% 293.42/42.90 [15831] 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)))))
% 293.42/42.90 -> [15833] ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.42/42.90 -> [15834] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 293.42/42.90
% 293.42/42.90 [15833] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.42/42.90 -> [15988] ~line(skolem_L7777)
% 293.42/42.90 -> [15989] ~line(line_connecting(skolem_B8181, skolem_C8282))
% 293.42/42.90
% 293.42/42.90 [15989] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [16698] ((unequally_directed_lines(skolem_N7979, M38_533_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_533_8))) => (left_convergent_lines(skolem_N7979, M38_533_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_533_8))))
% 293.42/42.90
% 293.42/42.90 [16698] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_533_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_533_8))) => (left_convergent_lines(skolem_N7979, M38_533_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_533_8))))
% 293.42/42.90 -> [16699] ~(unequally_directed_lines(skolem_N7979, M38_533_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_533_8)))
% 293.42/42.90 -> [16700] (left_convergent_lines(skolem_N7979, M38_533_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_533_8)))
% 293.42/42.90
% 293.42/42.90 [16699] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_533_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_533_8)))
% 293.42/42.90 -> [16872] ~unequally_directed_lines(skolem_N7979, M38_533_8)
% 293.42/42.90 -> [16873] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_533_8))
% 293.42/42.90
% 293.42/42.90 [16873] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_533_8))
% 293.42/42.90
% 293.42/42.90 [16872] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_533_8)
% 293.42/42.90
% 293.42/42.90 [16700] BETA_OR : (left_convergent_lines(skolem_N7979, M38_533_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_533_8)))
% 293.42/42.90 -> [16705] left_convergent_lines(skolem_N7979, M38_533_8)
% 293.42/42.90 -> [16706] left_convergent_lines(skolem_N7979, reverse_line(M38_533_8))
% 293.42/42.90
% 293.42/42.90 [16706] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [17232] ~(left_apart_point(A39_1056_9, L40_1056_9) | left_apart_point(A39_1056_9, reverse_line(L40_1056_9)))
% 293.42/42.90
% 293.42/42.90 [17232] ALPHA_NOT_OR : ~(left_apart_point(A39_1056_9, L40_1056_9) | left_apart_point(A39_1056_9, reverse_line(L40_1056_9)))
% 293.42/42.90 -> [17235] ~left_apart_point(A39_1056_9, L40_1056_9), ~left_apart_point(A39_1056_9, reverse_line(L40_1056_9))
% 293.42/42.90
% 293.42/42.90 [17235] CLOSURE : ~left_apart_point(A39_1056_9, L40_1056_9)
% 293.42/42.90
% 293.42/42.90 [16705] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [17368] ~(left_apart_point(A39_1084_9, L40_1084_9) | left_apart_point(A39_1084_9, reverse_line(L40_1084_9)))
% 293.42/42.90
% 293.42/42.90 [17368] ALPHA_NOT_OR : ~(left_apart_point(A39_1084_9, L40_1084_9) | left_apart_point(A39_1084_9, reverse_line(L40_1084_9)))
% 293.42/42.90 -> [17369] ~left_apart_point(A39_1084_9, L40_1084_9), ~left_apart_point(A39_1084_9, reverse_line(L40_1084_9))
% 293.42/42.90
% 293.42/42.90 [17369] CLOSURE : ~left_apart_point(A39_1084_9, L40_1084_9)
% 293.42/42.90
% 293.42/42.90 [15988] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [16686] ((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))))
% 293.42/42.90
% 293.42/42.90 [16686] 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))))
% 293.42/42.90 -> [16691] ~(unequally_directed_lines(skolem_N7979, M38_532_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_532_8)))
% 293.42/42.90 -> [16692] (left_convergent_lines(skolem_N7979, M38_532_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_532_8)))
% 293.42/42.90
% 293.42/42.90 [16692] BETA_OR : (left_convergent_lines(skolem_N7979, M38_532_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_532_8)))
% 293.42/42.90 -> [16694] left_convergent_lines(skolem_N7979, M38_532_8)
% 293.42/42.90 -> [16695] left_convergent_lines(skolem_N7979, reverse_line(M38_532_8))
% 293.42/42.90
% 293.42/42.90 [16695] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [17219] ~(left_apart_point(A39_1055_9, L40_1055_9) | left_apart_point(A39_1055_9, reverse_line(L40_1055_9)))
% 293.42/42.90
% 293.42/42.90 [17219] ALPHA_NOT_OR : ~(left_apart_point(A39_1055_9, L40_1055_9) | left_apart_point(A39_1055_9, reverse_line(L40_1055_9)))
% 293.42/42.90 -> [17220] ~left_apart_point(A39_1055_9, L40_1055_9), ~left_apart_point(A39_1055_9, reverse_line(L40_1055_9))
% 293.42/42.90
% 293.42/42.90 [17220] CLOSURE : ~left_apart_point(A39_1055_9, L40_1055_9)
% 293.42/42.90
% 293.42/42.90 [16694] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [17362] ~(left_apart_point(A39_1082_9, L40_1082_9) | left_apart_point(A39_1082_9, reverse_line(L40_1082_9)))
% 293.42/42.90
% 293.42/42.90 [17362] ALPHA_NOT_OR : ~(left_apart_point(A39_1082_9, L40_1082_9) | left_apart_point(A39_1082_9, reverse_line(L40_1082_9)))
% 293.42/42.90 -> [17363] ~left_apart_point(A39_1082_9, L40_1082_9), ~left_apart_point(A39_1082_9, reverse_line(L40_1082_9))
% 293.42/42.90
% 293.42/42.90 [17363] CLOSURE : ~left_apart_point(A39_1082_9, L40_1082_9)
% 293.42/42.90
% 293.42/42.90 [16691] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_532_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_532_8)))
% 293.42/42.90 -> [16865] ~unequally_directed_lines(skolem_N7979, M38_532_8)
% 293.42/42.90 -> [16866] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_532_8))
% 293.42/42.90
% 293.42/42.90 [16866] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_532_8))
% 293.42/42.90
% 293.42/42.90 [16865] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_532_8)
% 293.42/42.90
% 293.42/42.90 [15834] 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))))
% 293.42/42.90 -> [15838] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.42/42.90 -> [15839] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.42/42.90
% 293.42/42.90 [15838] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.42/42.90
% 293.42/42.90 [15839] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [22472] ((unequally_directed_lines(skolem_N7979, M38_899_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_899_8))) => (left_convergent_lines(skolem_N7979, M38_899_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_899_8))))
% 293.42/42.90
% 293.42/42.90 [22472] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_899_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_899_8))) => (left_convergent_lines(skolem_N7979, M38_899_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_899_8))))
% 293.42/42.90 -> [22476] ~(unequally_directed_lines(skolem_N7979, M38_899_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_899_8)))
% 293.42/42.90 -> [22477] (left_convergent_lines(skolem_N7979, M38_899_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_899_8)))
% 293.42/42.90
% 293.42/42.90 [22476] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_899_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_899_8)))
% 293.42/42.90 -> [22492] ~unequally_directed_lines(skolem_N7979, M38_899_8)
% 293.42/42.90 -> [22493] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_899_8))
% 293.42/42.90
% 293.42/42.90 [22493] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_899_8))
% 293.42/42.90
% 293.42/42.90 [22492] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_899_8)
% 293.42/42.90
% 293.42/42.90 [22477] BETA_OR : (left_convergent_lines(skolem_N7979, M38_899_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_899_8)))
% 293.42/42.90 -> [22479] left_convergent_lines(skolem_N7979, M38_899_8)
% 293.42/42.90 -> [22480] left_convergent_lines(skolem_N7979, reverse_line(M38_899_8))
% 293.42/42.90
% 293.42/42.90 [22479] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [22725] ~(left_apart_point(A39_1774_9, L40_1774_9) | left_apart_point(A39_1774_9, reverse_line(L40_1774_9)))
% 293.42/42.90
% 293.42/42.90 [22725] ALPHA_NOT_OR : ~(left_apart_point(A39_1774_9, L40_1774_9) | left_apart_point(A39_1774_9, reverse_line(L40_1774_9)))
% 293.42/42.90 -> [22727] ~left_apart_point(A39_1774_9, L40_1774_9), ~left_apart_point(A39_1774_9, reverse_line(L40_1774_9))
% 293.42/42.90
% 293.42/42.90 [22727] CLOSURE : ~left_apart_point(A39_1774_9, L40_1774_9)
% 293.42/42.90
% 293.42/42.90 [22480] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [22747] ~(left_apart_point(A39_1777_9, L40_1777_9) | left_apart_point(A39_1777_9, reverse_line(L40_1777_9)))
% 293.42/42.90
% 293.42/42.90 [22747] ALPHA_NOT_OR : ~(left_apart_point(A39_1777_9, L40_1777_9) | left_apart_point(A39_1777_9, reverse_line(L40_1777_9)))
% 293.42/42.90 -> [22750] ~left_apart_point(A39_1777_9, L40_1777_9), ~left_apart_point(A39_1777_9, reverse_line(L40_1777_9))
% 293.42/42.90
% 293.42/42.90 [22750] CLOSURE : ~left_apart_point(A39_1777_9, L40_1777_9)
% 293.42/42.90
% 293.42/42.90 [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)))
% 293.42/42.90 -> [636] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 293.42/42.90 -> [637] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [636] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.90 -> [1952] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.90
% 293.42/42.90 [1952] 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))))
% 293.42/42.90 -> [1976] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.90
% 293.42/42.90 [1976] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.90 -> [1977] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.90 -> [1978] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.90
% 293.42/42.90 [1977] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.90
% 293.42/42.90 [1978] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.90 -> [2447] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.90 -> [2448] distinct_points(skolem_C8282, skolem_B8181)
% 293.42/42.90
% 293.42/42.90 [2447] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.90
% 293.42/42.90 [2448] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.90 -> [2484] ~distinct_lines(N27_24_3, N27_24_3)
% 293.42/42.90
% 293.42/42.90 [2484] 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))))
% 293.42/42.90 -> [2499] (distinct_lines(N27_24_3, N27_24_3) => (distinct_lines(N27_24_3, N27_24_3) | distinct_lines(N27_24_3, N27_24_3)))
% 293.42/42.90
% 293.42/42.90 [2499] 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)))
% 293.42/42.90 -> [2500] ~distinct_lines(N27_24_3, N27_24_3)
% 293.42/42.90 -> [2501] (distinct_lines(N27_24_3, N27_24_3) | distinct_lines(N27_24_3, N27_24_3))
% 293.42/42.90
% 293.42/42.90 [2501] BETA_OR : (distinct_lines(N27_24_3, N27_24_3) | distinct_lines(N27_24_3, N27_24_3))
% 293.42/42.90 -> [2502] distinct_lines(N27_24_3, N27_24_3)
% 293.42/42.90 -> [2503] distinct_lines(N27_24_3, N27_24_3)
% 293.42/42.90
% 293.42/42.90 [2503] CLOSURE : distinct_lines(N27_24_3, N27_24_3)
% 293.42/42.90
% 293.42/42.90 [2502] CLOSURE : distinct_lines(N27_24_3, N27_24_3)
% 293.42/42.90
% 293.42/42.90 [2500] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.90 -> [2521] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [2521] 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))))
% 293.42/42.90 -> [2536] (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)))
% 293.42/42.90
% 293.42/42.90 [2536] 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)))
% 293.42/42.90 -> [2538] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90 -> [2539] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [2538] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [2539] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.90 -> [2610] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.90 -> [2611] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [2610] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [2611] 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))))))
% 293.42/42.90 -> [2645] ((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)))))
% 293.42/42.90
% 293.42/42.90 [2645] 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)))))
% 293.42/42.90 -> [2649] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.90 -> [2650] ((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))))
% 293.42/42.90
% 293.42/42.90 [2649] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.90 -> [2666] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.90 -> [2667] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [2667] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [2666] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.90
% 293.42/42.90 [2650] 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))))
% 293.42/42.90 -> [4976] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [4977] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.90
% 293.42/42.90 [4976] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [4989] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [4989] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [4977] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [4978] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [4978] 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)))))
% 293.42/42.90 -> [5016] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.90
% 293.42/42.90 [5016] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.90 -> [5021] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.90 -> [5022] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.90
% 293.42/42.90 [5022] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [5023] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.90 -> [5024] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [5023] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [5024] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [5259] ((unequally_directed_lines(skolem_N7979, M38_33_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_33_8))) => (left_convergent_lines(skolem_N7979, M38_33_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_33_8))))
% 293.42/42.90
% 293.42/42.90 [5259] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_33_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_33_8))) => (left_convergent_lines(skolem_N7979, M38_33_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_33_8))))
% 293.42/42.90 -> [5260] ~(unequally_directed_lines(skolem_N7979, M38_33_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_33_8)))
% 293.42/42.90 -> [5261] (left_convergent_lines(skolem_N7979, M38_33_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_33_8)))
% 293.42/42.90
% 293.42/42.90 [5261] BETA_OR : (left_convergent_lines(skolem_N7979, M38_33_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_33_8)))
% 293.42/42.90 -> [5263] left_convergent_lines(skolem_N7979, M38_33_8)
% 293.42/42.90 -> [5264] left_convergent_lines(skolem_N7979, reverse_line(M38_33_8))
% 293.42/42.90
% 293.42/42.90 [5264] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [5318] ~(left_apart_point(A39_56_9, L40_56_9) | left_apart_point(A39_56_9, reverse_line(L40_56_9)))
% 293.42/42.90
% 293.42/42.90 [5318] ALPHA_NOT_OR : ~(left_apart_point(A39_56_9, L40_56_9) | left_apart_point(A39_56_9, reverse_line(L40_56_9)))
% 293.42/42.90 -> [5320] ~left_apart_point(A39_56_9, L40_56_9), ~left_apart_point(A39_56_9, reverse_line(L40_56_9))
% 293.42/42.90
% 293.42/42.90 [5320] CLOSURE : ~left_apart_point(A39_56_9, L40_56_9)
% 293.42/42.90
% 293.42/42.90 [5263] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [5331] ~(left_apart_point(A39_59_9, L40_59_9) | left_apart_point(A39_59_9, reverse_line(L40_59_9)))
% 293.42/42.90
% 293.42/42.90 [5331] ALPHA_NOT_OR : ~(left_apart_point(A39_59_9, L40_59_9) | left_apart_point(A39_59_9, reverse_line(L40_59_9)))
% 293.42/42.90 -> [5333] ~left_apart_point(A39_59_9, L40_59_9), ~left_apart_point(A39_59_9, reverse_line(L40_59_9))
% 293.42/42.90
% 293.42/42.90 [5333] CLOSURE : ~left_apart_point(A39_59_9, L40_59_9)
% 293.42/42.90
% 293.42/42.90 [5260] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_33_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_33_8)))
% 293.42/42.90 -> [5275] ~unequally_directed_lines(skolem_N7979, M38_33_8)
% 293.42/42.90 -> [5276] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_33_8))
% 293.42/42.90
% 293.42/42.90 [5276] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_33_8))
% 293.42/42.90
% 293.42/42.90 [5275] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_33_8)
% 293.42/42.90
% 293.42/42.90 [5021] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.90 -> [5043] ~line(skolem_M7878)
% 293.42/42.90 -> [5044] ~line(skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [5043] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [5169] ((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))))
% 293.42/42.90
% 293.42/42.90 [5169] 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))))
% 293.42/42.90 -> [5170] ~(unequally_directed_lines(skolem_N7979, M38_29_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_29_8)))
% 293.42/42.90 -> [5171] (left_convergent_lines(skolem_N7979, M38_29_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_29_8)))
% 293.42/42.90
% 293.42/42.90 [5171] BETA_OR : (left_convergent_lines(skolem_N7979, M38_29_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_29_8)))
% 293.42/42.90 -> [5176] left_convergent_lines(skolem_N7979, M38_29_8)
% 293.42/42.90 -> [5177] left_convergent_lines(skolem_N7979, reverse_line(M38_29_8))
% 293.42/42.90
% 293.42/42.90 [5176] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [5332] ~(left_apart_point(A39_60_9, L40_60_9) | left_apart_point(A39_60_9, reverse_line(L40_60_9)))
% 293.42/42.90
% 293.42/42.90 [5332] ALPHA_NOT_OR : ~(left_apart_point(A39_60_9, L40_60_9) | left_apart_point(A39_60_9, reverse_line(L40_60_9)))
% 293.42/42.90 -> [5334] ~left_apart_point(A39_60_9, L40_60_9), ~left_apart_point(A39_60_9, reverse_line(L40_60_9))
% 293.42/42.90
% 293.42/42.90 [5334] CLOSURE : ~left_apart_point(A39_60_9, L40_60_9)
% 293.42/42.90
% 293.42/42.90 [5177] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [5304] ~(left_apart_point(A39_55_9, L40_55_9) | left_apart_point(A39_55_9, reverse_line(L40_55_9)))
% 293.42/42.90
% 293.42/42.90 [5304] ALPHA_NOT_OR : ~(left_apart_point(A39_55_9, L40_55_9) | left_apart_point(A39_55_9, reverse_line(L40_55_9)))
% 293.42/42.90 -> [5305] ~left_apart_point(A39_55_9, L40_55_9), ~left_apart_point(A39_55_9, reverse_line(L40_55_9))
% 293.42/42.90
% 293.42/42.90 [5305] CLOSURE : ~left_apart_point(A39_55_9, L40_55_9)
% 293.42/42.90
% 293.42/42.90 [5170] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_29_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_29_8)))
% 293.42/42.90 -> [5210] ~unequally_directed_lines(skolem_N7979, M38_29_8)
% 293.42/42.90 -> [5211] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_29_8))
% 293.42/42.90
% 293.42/42.90 [5211] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_29_8))
% 293.42/42.90
% 293.42/42.90 [5210] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_29_8)
% 293.42/42.90
% 293.42/42.90 [5044] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [5131] ((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))))
% 293.42/42.90
% 293.42/42.90 [5131] 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))))
% 293.42/42.90 -> [5134] ~(unequally_directed_lines(skolem_N7979, M38_27_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_27_8)))
% 293.42/42.90 -> [5135] (left_convergent_lines(skolem_N7979, M38_27_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_27_8)))
% 293.42/42.90
% 293.42/42.90 [5134] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_27_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_27_8)))
% 293.42/42.90 -> [5180] ~unequally_directed_lines(skolem_N7979, M38_27_8)
% 293.42/42.90 -> [5181] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_27_8))
% 293.42/42.90
% 293.42/42.90 [5181] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_27_8))
% 293.42/42.90
% 293.42/42.90 [5180] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_27_8)
% 293.42/42.90
% 293.42/42.90 [5135] BETA_OR : (left_convergent_lines(skolem_N7979, M38_27_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_27_8)))
% 293.42/42.90 -> [5139] left_convergent_lines(skolem_N7979, M38_27_8)
% 293.42/42.90 -> [5140] left_convergent_lines(skolem_N7979, reverse_line(M38_27_8))
% 293.42/42.90
% 293.42/42.90 [5139] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [5443] ~(left_apart_point(A39_66_9, L40_66_9) | left_apart_point(A39_66_9, reverse_line(L40_66_9)))
% 293.42/42.90
% 293.42/42.90 [5443] ALPHA_NOT_OR : ~(left_apart_point(A39_66_9, L40_66_9) | left_apart_point(A39_66_9, reverse_line(L40_66_9)))
% 293.42/42.90 -> [5444] ~left_apart_point(A39_66_9, L40_66_9), ~left_apart_point(A39_66_9, reverse_line(L40_66_9))
% 293.42/42.90
% 293.42/42.90 [5444] CLOSURE : ~left_apart_point(A39_66_9, L40_66_9)
% 293.42/42.90
% 293.42/42.90 [5140] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [5645] ~(left_apart_point(A39_67_9, L40_67_9) | left_apart_point(A39_67_9, reverse_line(L40_67_9)))
% 293.42/42.90
% 293.42/42.90 [5645] ALPHA_NOT_OR : ~(left_apart_point(A39_67_9, L40_67_9) | left_apart_point(A39_67_9, reverse_line(L40_67_9)))
% 293.42/42.90 -> [5646] ~left_apart_point(A39_67_9, L40_67_9), ~left_apart_point(A39_67_9, reverse_line(L40_67_9))
% 293.42/42.90
% 293.42/42.90 [5646] CLOSURE : ~left_apart_point(A39_67_9, L40_67_9)
% 293.42/42.90
% 293.42/42.90 [637] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.90 -> [2168] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.90
% 293.42/42.90 [2168] 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))))
% 293.42/42.90 -> [2285] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.90
% 293.42/42.90 [2285] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.90 -> [2286] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.90 -> [2287] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.90
% 293.42/42.90 [2286] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.90
% 293.42/42.90 [2287] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.90 -> [6939] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.90 -> [6940] distinct_points(skolem_C8282, skolem_B8181)
% 293.42/42.90
% 293.42/42.90 [6939] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.90
% 293.42/42.90 [6940] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.90 -> [7251] ~distinct_lines(N27_234_3, N27_234_3)
% 293.42/42.90
% 293.42/42.90 [7251] 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))))
% 293.42/42.90 -> [7278] (distinct_lines(N27_234_3, N27_234_3) => (distinct_lines(N27_234_3, N27_234_3) | distinct_lines(N27_234_3, N27_234_3)))
% 293.42/42.90
% 293.42/42.90 [7278] BETA_IMPLY : (distinct_lines(N27_234_3, N27_234_3) => (distinct_lines(N27_234_3, N27_234_3) | distinct_lines(N27_234_3, N27_234_3)))
% 293.42/42.90 -> [7280] ~distinct_lines(N27_234_3, N27_234_3)
% 293.42/42.90 -> [7281] (distinct_lines(N27_234_3, N27_234_3) | distinct_lines(N27_234_3, N27_234_3))
% 293.42/42.90
% 293.42/42.90 [7281] BETA_OR : (distinct_lines(N27_234_3, N27_234_3) | distinct_lines(N27_234_3, N27_234_3))
% 293.42/42.90 -> [7282] distinct_lines(N27_234_3, N27_234_3)
% 293.42/42.90 -> [7283] distinct_lines(N27_234_3, N27_234_3)
% 293.42/42.90
% 293.42/42.90 [7282] CLOSURE : distinct_lines(N27_234_3, N27_234_3)
% 293.42/42.90
% 293.42/42.90 [7283] CLOSURE : distinct_lines(N27_234_3, N27_234_3)
% 293.42/42.90
% 293.42/42.90 [7280] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.90 -> [7366] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [7366] 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))))
% 293.42/42.90 -> [7405] (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))))
% 293.42/42.90
% 293.42/42.90 [7405] 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))))
% 293.42/42.90 -> [7410] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90 -> [7411] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.90
% 293.42/42.90 [7410] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [7411] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.90 -> [16791] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90 -> [16792] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [16792] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [16791] 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))))))
% 293.42/42.90 -> [18860] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_248_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_248_6))) | (unequally_directed_lines(skolem_N7979, N34_248_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_248_6)))))
% 293.42/42.90
% 293.42/42.90 [18860] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_248_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_248_6))) | (unequally_directed_lines(skolem_N7979, N34_248_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_248_6)))))
% 293.42/42.90 -> [18863] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.90 -> [18864] ((unequally_directed_lines(skolem_M7878, N34_248_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_248_6))) | (unequally_directed_lines(skolem_N7979, N34_248_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_248_6))))
% 293.42/42.90
% 293.42/42.90 [18863] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.90 -> [18878] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.90 -> [18879] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [18879] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [18878] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.90
% 293.42/42.90 [18864] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_248_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_248_6))) | (unequally_directed_lines(skolem_N7979, N34_248_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_248_6))))
% 293.42/42.90 -> [26276] (unequally_directed_lines(skolem_M7878, N34_248_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_248_6)))
% 293.42/42.90 -> [26277] (unequally_directed_lines(skolem_N7979, N34_248_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_248_6)))
% 293.42/42.90
% 293.42/42.90 [26276] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_248_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_248_6)))
% 293.42/42.90 -> [26279] unequally_directed_lines(skolem_M7878, N34_248_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_248_6))
% 293.42/42.90
% 293.42/42.90 [26279] 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)))))
% 293.42/42.90 -> [26323] ((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))))
% 293.42/42.90
% 293.42/42.90 [26323] 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))))
% 293.42/42.90 -> [26325] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.90 -> [26326] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.90
% 293.42/42.90 [26326] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.90 -> [26333] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 293.42/42.90 -> [26334] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [26334] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [26333] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [26404] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.90
% 293.42/42.90 [26404] 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))))
% 293.42/42.90 -> [26405] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [26406] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90
% 293.42/42.90 [26406] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [26412] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [26413] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [26413] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [26435] ~(left_apart_point(A39_2333_9, L40_2333_9) | left_apart_point(A39_2333_9, reverse_line(L40_2333_9)))
% 293.42/42.90
% 293.42/42.90 [26435] ALPHA_NOT_OR : ~(left_apart_point(A39_2333_9, L40_2333_9) | left_apart_point(A39_2333_9, reverse_line(L40_2333_9)))
% 293.42/42.90 -> [26438] ~left_apart_point(A39_2333_9, L40_2333_9), ~left_apart_point(A39_2333_9, reverse_line(L40_2333_9))
% 293.42/42.90
% 293.42/42.90 [26438] CLOSURE : ~left_apart_point(A39_2333_9, L40_2333_9)
% 293.42/42.90
% 293.42/42.90 [26412] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [26447] ~(left_apart_point(A39_2337_9, L40_2337_9) | left_apart_point(A39_2337_9, reverse_line(L40_2337_9)))
% 293.42/42.90
% 293.42/42.90 [26447] ALPHA_NOT_OR : ~(left_apart_point(A39_2337_9, L40_2337_9) | left_apart_point(A39_2337_9, reverse_line(L40_2337_9)))
% 293.42/42.90 -> [26448] ~left_apart_point(A39_2337_9, L40_2337_9), ~left_apart_point(A39_2337_9, reverse_line(L40_2337_9))
% 293.42/42.90
% 293.42/42.90 [26448] CLOSURE : ~left_apart_point(A39_2337_9, L40_2337_9)
% 293.42/42.90
% 293.42/42.90 [26405] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [26420] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [26421] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [26421] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [26420] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [26325] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.90 -> [26337] ~line(reverse_line(skolem_N7979))
% 293.42/42.90 -> [26338] ~line(skolem_N7979)
% 293.42/42.90
% 293.42/42.90 [26338] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [26357] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.90
% 293.42/42.90 [26357] 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))))
% 293.42/42.90 -> [26358] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [26359] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90
% 293.42/42.90 [26358] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [26372] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [26373] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [26373] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [26372] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [26359] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [26363] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [26364] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [26363] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [26389] ~(left_apart_point(A39_2324_9, L40_2324_9) | left_apart_point(A39_2324_9, reverse_line(L40_2324_9)))
% 293.42/42.90
% 293.42/42.90 [26389] ALPHA_NOT_OR : ~(left_apart_point(A39_2324_9, L40_2324_9) | left_apart_point(A39_2324_9, reverse_line(L40_2324_9)))
% 293.42/42.90 -> [26390] ~left_apart_point(A39_2324_9, L40_2324_9), ~left_apart_point(A39_2324_9, reverse_line(L40_2324_9))
% 293.42/42.90
% 293.42/42.90 [26390] CLOSURE : ~left_apart_point(A39_2324_9, L40_2324_9)
% 293.42/42.90
% 293.42/42.90 [26364] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [26407] ~(left_apart_point(A39_2328_9, L40_2328_9) | left_apart_point(A39_2328_9, reverse_line(L40_2328_9)))
% 293.42/42.90
% 293.42/42.90 [26407] ALPHA_NOT_OR : ~(left_apart_point(A39_2328_9, L40_2328_9) | left_apart_point(A39_2328_9, reverse_line(L40_2328_9)))
% 293.42/42.90 -> [26409] ~left_apart_point(A39_2328_9, L40_2328_9), ~left_apart_point(A39_2328_9, reverse_line(L40_2328_9))
% 293.42/42.90
% 293.42/42.90 [26409] CLOSURE : ~left_apart_point(A39_2328_9, L40_2328_9)
% 293.42/42.90
% 293.42/42.90 [26337] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [26369] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.90
% 293.42/42.90 [26369] 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))))
% 293.42/42.90 -> [26370] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [26371] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90
% 293.42/42.90 [26370] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [26387] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [26388] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [26388] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [26387] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [26371] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [26376] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [26377] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [26376] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [26424] ~(left_apart_point(A39_2332_9, L40_2332_9) | left_apart_point(A39_2332_9, reverse_line(L40_2332_9)))
% 293.42/42.90
% 293.42/42.90 [26424] ALPHA_NOT_OR : ~(left_apart_point(A39_2332_9, L40_2332_9) | left_apart_point(A39_2332_9, reverse_line(L40_2332_9)))
% 293.42/42.90 -> [26425] ~left_apart_point(A39_2332_9, L40_2332_9), ~left_apart_point(A39_2332_9, reverse_line(L40_2332_9))
% 293.42/42.90
% 293.42/42.90 [26425] CLOSURE : ~left_apart_point(A39_2332_9, L40_2332_9)
% 293.42/42.90
% 293.42/42.90 [26377] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [26482] ~(left_apart_point(A39_2342_9, L40_2342_9) | left_apart_point(A39_2342_9, reverse_line(L40_2342_9)))
% 293.42/42.90
% 293.42/42.90 [26482] ALPHA_NOT_OR : ~(left_apart_point(A39_2342_9, L40_2342_9) | left_apart_point(A39_2342_9, reverse_line(L40_2342_9)))
% 293.42/42.90 -> [26484] ~left_apart_point(A39_2342_9, L40_2342_9), ~left_apart_point(A39_2342_9, reverse_line(L40_2342_9))
% 293.42/42.90
% 293.42/42.90 [26484] CLOSURE : ~left_apart_point(A39_2342_9, L40_2342_9)
% 293.42/42.90
% 293.42/42.90 [26277] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_248_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_248_6)))
% 293.42/42.90 -> [26284] unequally_directed_lines(skolem_N7979, N34_248_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_248_6))
% 293.42/42.90
% 293.42/42.90 [26284] 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)))))
% 293.42/42.90 -> [26289] ((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)))))
% 293.42/42.90
% 293.42/42.90 [26289] 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)))))
% 293.42/42.90 -> [26290] ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.90 -> [26291] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))
% 293.42/42.90
% 293.42/42.90 [26291] 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))))
% 293.42/42.90 -> [26297] unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.90 -> [26298] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.90
% 293.42/42.90 [26297] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.90
% 293.42/42.90 [26298] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [26463] ((unequally_directed_lines(skolem_N7979, M38_1176_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1176_8))) => (left_convergent_lines(skolem_N7979, M38_1176_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1176_8))))
% 293.42/42.90
% 293.42/42.90 [26463] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1176_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1176_8))) => (left_convergent_lines(skolem_N7979, M38_1176_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1176_8))))
% 293.42/42.90 -> [26464] ~(unequally_directed_lines(skolem_N7979, M38_1176_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1176_8)))
% 293.42/42.90 -> [26465] (left_convergent_lines(skolem_N7979, M38_1176_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1176_8)))
% 293.42/42.90
% 293.42/42.90 [26464] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1176_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1176_8)))
% 293.42/42.90 -> [26478] ~unequally_directed_lines(skolem_N7979, M38_1176_8)
% 293.42/42.90 -> [26479] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1176_8))
% 293.42/42.90
% 293.42/42.90 [26479] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1176_8))
% 293.42/42.90
% 293.42/42.90 [26478] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1176_8)
% 293.42/42.90
% 293.42/42.90 [26465] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1176_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1176_8)))
% 293.42/42.90 -> [26470] left_convergent_lines(skolem_N7979, M38_1176_8)
% 293.42/42.90 -> [26471] left_convergent_lines(skolem_N7979, reverse_line(M38_1176_8))
% 293.42/42.90
% 293.42/42.90 [26471] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [26489] ~(left_apart_point(A39_2344_9, L40_2344_9) | left_apart_point(A39_2344_9, reverse_line(L40_2344_9)))
% 293.42/42.90
% 293.42/42.90 [26489] ALPHA_NOT_OR : ~(left_apart_point(A39_2344_9, L40_2344_9) | left_apart_point(A39_2344_9, reverse_line(L40_2344_9)))
% 293.42/42.90 -> [26490] ~left_apart_point(A39_2344_9, L40_2344_9), ~left_apart_point(A39_2344_9, reverse_line(L40_2344_9))
% 293.42/42.90
% 293.42/42.90 [26490] CLOSURE : ~left_apart_point(A39_2344_9, L40_2344_9)
% 293.42/42.90
% 293.42/42.90 [26470] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [26558] ~(left_apart_point(A39_2359_9, L40_2359_9) | left_apart_point(A39_2359_9, reverse_line(L40_2359_9)))
% 293.42/42.90
% 293.42/42.90 [26558] ALPHA_NOT_OR : ~(left_apart_point(A39_2359_9, L40_2359_9) | left_apart_point(A39_2359_9, reverse_line(L40_2359_9)))
% 293.42/42.90 -> [26560] ~left_apart_point(A39_2359_9, L40_2359_9), ~left_apart_point(A39_2359_9, reverse_line(L40_2359_9))
% 293.42/42.90
% 293.42/42.90 [26560] CLOSURE : ~left_apart_point(A39_2359_9, L40_2359_9)
% 293.42/42.90
% 293.42/42.90 [26290] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.90 -> [26302] ~line(skolem_L7777)
% 293.42/42.90 -> [26303] ~line(line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.90
% 293.42/42.90 [26303] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [26324] ((unequally_directed_lines(skolem_N7979, M38_1165_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1165_8))) => (left_convergent_lines(skolem_N7979, M38_1165_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1165_8))))
% 293.42/42.90
% 293.42/42.90 [26324] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1165_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1165_8))) => (left_convergent_lines(skolem_N7979, M38_1165_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1165_8))))
% 293.42/42.90 -> [26327] ~(unequally_directed_lines(skolem_N7979, M38_1165_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1165_8)))
% 293.42/42.90 -> [26328] (left_convergent_lines(skolem_N7979, M38_1165_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1165_8)))
% 293.42/42.90
% 293.42/42.90 [26327] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1165_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1165_8)))
% 293.42/42.90 -> [26353] ~unequally_directed_lines(skolem_N7979, M38_1165_8)
% 293.42/42.90 -> [26354] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1165_8))
% 293.42/42.90
% 293.42/42.90 [26354] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1165_8))
% 293.42/42.90
% 293.42/42.90 [26353] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1165_8)
% 293.42/42.90
% 293.42/42.90 [26328] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1165_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1165_8)))
% 293.42/42.90 -> [26335] left_convergent_lines(skolem_N7979, M38_1165_8)
% 293.42/42.90 -> [26336] left_convergent_lines(skolem_N7979, reverse_line(M38_1165_8))
% 293.42/42.90
% 293.42/42.90 [26336] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [26347] ~(left_apart_point(A39_2322_9, L40_2322_9) | left_apart_point(A39_2322_9, reverse_line(L40_2322_9)))
% 293.42/42.90
% 293.42/42.90 [26347] ALPHA_NOT_OR : ~(left_apart_point(A39_2322_9, L40_2322_9) | left_apart_point(A39_2322_9, reverse_line(L40_2322_9)))
% 293.42/42.90 -> [26352] ~left_apart_point(A39_2322_9, L40_2322_9), ~left_apart_point(A39_2322_9, reverse_line(L40_2322_9))
% 293.42/42.90
% 293.42/42.90 [26352] CLOSURE : ~left_apart_point(A39_2322_9, L40_2322_9)
% 293.42/42.90
% 293.42/42.90 [26335] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [26383] ~(left_apart_point(A39_2323_9, L40_2323_9) | left_apart_point(A39_2323_9, reverse_line(L40_2323_9)))
% 293.42/42.90
% 293.42/42.90 [26383] ALPHA_NOT_OR : ~(left_apart_point(A39_2323_9, L40_2323_9) | left_apart_point(A39_2323_9, reverse_line(L40_2323_9)))
% 293.42/42.90 -> [26386] ~left_apart_point(A39_2323_9, L40_2323_9), ~left_apart_point(A39_2323_9, reverse_line(L40_2323_9))
% 293.42/42.90
% 293.42/42.90 [26386] CLOSURE : ~left_apart_point(A39_2323_9, L40_2323_9)
% 293.42/42.90
% 293.42/42.90 [26302] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [26341] ((unequally_directed_lines(skolem_N7979, M38_1166_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1166_8))) => (left_convergent_lines(skolem_N7979, M38_1166_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1166_8))))
% 293.42/42.90
% 293.42/42.90 [26341] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1166_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1166_8))) => (left_convergent_lines(skolem_N7979, M38_1166_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1166_8))))
% 293.42/42.90 -> [26342] ~(unequally_directed_lines(skolem_N7979, M38_1166_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1166_8)))
% 293.42/42.90 -> [26343] (left_convergent_lines(skolem_N7979, M38_1166_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1166_8)))
% 293.42/42.90
% 293.42/42.90 [26342] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1166_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1166_8)))
% 293.42/42.90 -> [26360] ~unequally_directed_lines(skolem_N7979, M38_1166_8)
% 293.42/42.90 -> [26361] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1166_8))
% 293.42/42.90
% 293.42/42.90 [26361] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1166_8))
% 293.42/42.90
% 293.42/42.90 [26360] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1166_8)
% 293.42/42.90
% 293.42/42.90 [26343] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1166_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1166_8)))
% 293.42/42.90 -> [26345] left_convergent_lines(skolem_N7979, M38_1166_8)
% 293.42/42.90 -> [26346] left_convergent_lines(skolem_N7979, reverse_line(M38_1166_8))
% 293.42/42.90
% 293.42/42.90 [26345] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [26475] ~(left_apart_point(A39_2341_9, L40_2341_9) | left_apart_point(A39_2341_9, reverse_line(L40_2341_9)))
% 293.42/42.90
% 293.42/42.90 [26475] ALPHA_NOT_OR : ~(left_apart_point(A39_2341_9, L40_2341_9) | left_apart_point(A39_2341_9, reverse_line(L40_2341_9)))
% 293.42/42.90 -> [26477] ~left_apart_point(A39_2341_9, L40_2341_9), ~left_apart_point(A39_2341_9, reverse_line(L40_2341_9))
% 293.42/42.90
% 293.42/42.90 [26477] CLOSURE : ~left_apart_point(A39_2341_9, L40_2341_9)
% 293.42/42.90
% 293.42/42.90 [26346] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [26530] ~(left_apart_point(A39_2354_9, L40_2354_9) | left_apart_point(A39_2354_9, reverse_line(L40_2354_9)))
% 293.42/42.90
% 293.42/42.90 [26530] ALPHA_NOT_OR : ~(left_apart_point(A39_2354_9, L40_2354_9) | left_apart_point(A39_2354_9, reverse_line(L40_2354_9)))
% 293.42/42.90 -> [26535] ~left_apart_point(A39_2354_9, L40_2354_9), ~left_apart_point(A39_2354_9, reverse_line(L40_2354_9))
% 293.42/42.90
% 293.42/42.90 [26535] CLOSURE : ~left_apart_point(A39_2354_9, L40_2354_9)
% 293.42/42.90
% 293.42/42.90 [21] Rewrite : ~before_on_line(skolem_M7878, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))
% 293.42/42.90 -> [25] ~(((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))) & ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.90
% 293.42/42.90 [25] 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)))
% 293.42/42.90 -> [29] (before_on_line(skolem_L7777, skolem_A8080, skolem_B8181) & before_on_line(skolem_L7777, skolem_B8181, skolem_C8282))
% 293.42/42.90 -> [30] (before_on_line(skolem_L7777, skolem_C8282, skolem_B8181) & before_on_line(skolem_L7777, skolem_B8181, skolem_A8080))
% 293.42/42.90
% 293.42/42.90 [30] ALPHA_AND : (before_on_line(skolem_L7777, skolem_C8282, skolem_B8181) & before_on_line(skolem_L7777, skolem_B8181, skolem_A8080))
% 293.42/42.90 -> [39] before_on_line(skolem_L7777, skolem_C8282, skolem_B8181), before_on_line(skolem_L7777, skolem_B8181, skolem_A8080)
% 293.42/42.90
% 293.42/42.90 [39] Rewrite : before_on_line(skolem_L7777, skolem_C8282, skolem_B8181)
% 293.42/42.90 -> [47] (((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)))
% 293.42/42.90
% 293.42/42.90 [47] Rewrite : before_on_line(skolem_L7777, skolem_B8181, skolem_A8080)
% 293.42/42.90 -> [59] (((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)))
% 293.42/42.90
% 293.42/42.90 [59] 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)))
% 293.42/42.90 -> [67] ((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))
% 293.42/42.90
% 293.42/42.90 [67] 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)))
% 293.42/42.90 -> [71] ((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))
% 293.42/42.90
% 293.42/42.90 [71] 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))))
% 293.42/42.90 -> [82] (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)))
% 293.42/42.90
% 293.42/42.90 [82] 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))))
% 293.42/42.90 -> [87] (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)))
% 293.42/42.90
% 293.42/42.90 [87] ALPHA_AND : (distinct_points(skolem_C8282, skolem_B8181) & ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777))))
% 293.42/42.90 -> [90] distinct_points(skolem_C8282, skolem_B8181), ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))
% 293.42/42.90
% 293.42/42.90 [90] ALPHA_NOT_OR : ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))
% 293.42/42.90 -> [104] ~left_apart_point(skolem_B8181, skolem_L7777), ~left_apart_point(skolem_B8181, reverse_line(skolem_L7777))
% 293.42/42.90
% 293.42/42.90 [104] ALPHA_AND : (distinct_points(skolem_B8181, skolem_A8080) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777))))
% 293.42/42.90 -> [111] distinct_points(skolem_B8181, skolem_A8080), ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))
% 293.42/42.90
% 293.42/42.90 [111] ALPHA_NOT_OR : ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))
% 293.42/42.90 -> [119] ~left_apart_point(skolem_A8080, skolem_L7777), ~left_apart_point(skolem_A8080, reverse_line(skolem_L7777))
% 293.42/42.90
% 293.42/42.90 [119] ALPHA_NOT_OR : ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))
% 293.42/42.90 -> [126] ~left_apart_point(skolem_C8282, skolem_L7777), ~left_apart_point(skolem_C8282, reverse_line(skolem_L7777))
% 293.42/42.90
% 293.42/42.90 [126] ALPHA_NOT_OR : ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))
% 293.42/42.90 -> [135] ~left_apart_point(skolem_B8181, skolem_L7777), ~left_apart_point(skolem_B8181, reverse_line(skolem_L7777))
% 293.42/42.90
% 293.42/42.90 [135] BETA_NOT_AND : ~(((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))) & ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.90 -> [145] ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.42/42.90 -> [146] ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.90
% 293.42/42.90 [146] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.90 -> [168] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.90
% 293.42/42.90 [168] BETA_NOT_AND : ~(((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))) & ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.90 -> [549] ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.42/42.90 -> [550] ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.90
% 293.42/42.90 [550] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.90 -> [556] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.90
% 293.42/42.90 [556] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.90 -> [638] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.90
% 293.42/42.90 [638] 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))))
% 293.42/42.90 -> [1240] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.90
% 293.42/42.90 [1240] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.90 -> [1241] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.90 -> [1242] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.90
% 293.42/42.90 [1241] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.90
% 293.42/42.90 [1242] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.90 -> [2083] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.90 -> [2084] distinct_points(skolem_A8080, skolem_B8181)
% 293.42/42.90
% 293.42/42.90 [2083] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.90
% 293.42/42.90 [2084] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.90 -> [2230] ~distinct_lines(N27_16_3, N27_16_3)
% 293.42/42.90
% 293.42/42.90 [2230] 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))))
% 293.42/42.90 -> [2292] (distinct_lines(N27_16_3, N27_16_3) => (distinct_lines(N27_16_3, N27_16_3) | distinct_lines(N27_16_3, N27_16_3)))
% 293.42/42.90
% 293.42/42.90 [2292] 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)))
% 293.42/42.90 -> [2294] ~distinct_lines(N27_16_3, N27_16_3)
% 293.42/42.90 -> [2295] (distinct_lines(N27_16_3, N27_16_3) | distinct_lines(N27_16_3, N27_16_3))
% 293.42/42.90
% 293.42/42.90 [2295] BETA_OR : (distinct_lines(N27_16_3, N27_16_3) | distinct_lines(N27_16_3, N27_16_3))
% 293.42/42.90 -> [2299] distinct_lines(N27_16_3, N27_16_3)
% 293.42/42.90 -> [2300] distinct_lines(N27_16_3, N27_16_3)
% 293.42/42.90
% 293.42/42.90 [2300] CLOSURE : distinct_lines(N27_16_3, N27_16_3)
% 293.42/42.90
% 293.42/42.90 [2299] CLOSURE : distinct_lines(N27_16_3, N27_16_3)
% 293.42/42.90
% 293.42/42.90 [2294] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.90 -> [2318] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [2318] 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))))
% 293.42/42.90 -> [2329] (unequally_directed_lines(skolem_M7878, skolem_N7979) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_N7979, skolem_M7878)))
% 293.42/42.90
% 293.42/42.90 [2329] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, skolem_N7979) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_N7979, skolem_M7878)))
% 293.42/42.90 -> [2332] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.90 -> [2333] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_N7979, skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [2332] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.90
% 293.42/42.90 [2333] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_N7979, skolem_M7878))
% 293.42/42.90 -> [2384] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.90 -> [2385] unequally_directed_lines(skolem_N7979, skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [2384] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [2385] 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))))))
% 293.42/42.90 -> [2415] ((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)))))
% 293.42/42.90
% 293.42/42.90 [2415] 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)))))
% 293.42/42.90 -> [2416] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.90 -> [2417] ((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))))
% 293.42/42.90
% 293.42/42.90 [2416] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.90 -> [2424] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.90 -> [2425] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [2425] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [2424] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.90
% 293.42/42.90 [2417] 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))))
% 293.42/42.90 -> [2598] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [2599] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.90
% 293.42/42.90 [2598] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [2603] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [2603] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [2599] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [2602] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [2602] 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)))))
% 293.42/42.90 -> [2612] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.90
% 293.42/42.90 [2612] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.90 -> [2613] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.90 -> [2614] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.90
% 293.42/42.90 [2614] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [2615] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.90 -> [2616] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [2615] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [2616] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [2646] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.90
% 293.42/42.90 [2646] 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))))
% 293.42/42.90 -> [2651] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [2652] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90
% 293.42/42.90 [2652] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [2661] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [2662] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [2662] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [2691] ~(left_apart_point(A39_2_9, L40_2_9) | left_apart_point(A39_2_9, reverse_line(L40_2_9)))
% 293.42/42.90
% 293.42/42.90 [2691] ALPHA_NOT_OR : ~(left_apart_point(A39_2_9, L40_2_9) | left_apart_point(A39_2_9, reverse_line(L40_2_9)))
% 293.42/42.90 -> [2700] ~left_apart_point(A39_2_9, L40_2_9), ~left_apart_point(A39_2_9, reverse_line(L40_2_9))
% 293.42/42.90
% 293.42/42.90 [2700] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.90 -> [2720] ~(left_convergent_lines(L41_3_10, M42_3_10) | left_convergent_lines(L41_3_10, reverse_line(M42_3_10)))
% 293.42/42.90
% 293.42/42.90 [2720] ALPHA_NOT_OR : ~(left_convergent_lines(L41_3_10, M42_3_10) | left_convergent_lines(L41_3_10, reverse_line(M42_3_10)))
% 293.42/42.90 -> [2722] ~left_convergent_lines(L41_3_10, M42_3_10), ~left_convergent_lines(L41_3_10, reverse_line(M42_3_10))
% 293.42/42.90
% 293.42/42.90 [2722] CLOSURE : ~left_convergent_lines(L41_3_10, M42_3_10)
% 293.42/42.90
% 293.42/42.90 [2661] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [2716] ~(left_apart_point(A39_6_9, L40_6_9) | left_apart_point(A39_6_9, reverse_line(L40_6_9)))
% 293.42/42.90
% 293.42/42.90 [2716] ALPHA_NOT_OR : ~(left_apart_point(A39_6_9, L40_6_9) | left_apart_point(A39_6_9, reverse_line(L40_6_9)))
% 293.42/42.90 -> [2717] ~left_apart_point(A39_6_9, L40_6_9), ~left_apart_point(A39_6_9, reverse_line(L40_6_9))
% 293.42/42.90
% 293.42/42.90 [2717] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.90 -> [2767] ~(left_convergent_lines(L41_5_10, M42_5_10) | left_convergent_lines(L41_5_10, reverse_line(M42_5_10)))
% 293.42/42.90
% 293.42/42.90 [2767] ALPHA_NOT_OR : ~(left_convergent_lines(L41_5_10, M42_5_10) | left_convergent_lines(L41_5_10, reverse_line(M42_5_10)))
% 293.42/42.90 -> [2770] ~left_convergent_lines(L41_5_10, M42_5_10), ~left_convergent_lines(L41_5_10, reverse_line(M42_5_10))
% 293.42/42.90
% 293.42/42.90 [2770] CLOSURE : ~left_convergent_lines(L41_5_10, M42_5_10)
% 293.42/42.90
% 293.42/42.90 [2651] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [2683] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [2684] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [2684] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [2683] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [2613] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.90 -> [2620] ~line(skolem_M7878)
% 293.42/42.90 -> [2621] ~line(skolem_M7878)
% 293.42/42.90
% 293.42/42.90 [2621] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [2635] ((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))))
% 293.42/42.90
% 293.42/42.90 [2635] 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))))
% 293.42/42.90 -> [2636] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.90 -> [2637] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.90
% 293.42/42.90 [2637] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.90 -> [2638] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.90 -> [2639] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [2639] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [2705] ~(left_apart_point(A39_5_9, L40_5_9) | left_apart_point(A39_5_9, reverse_line(L40_5_9)))
% 293.42/42.90
% 293.42/42.90 [2705] ALPHA_NOT_OR : ~(left_apart_point(A39_5_9, L40_5_9) | left_apart_point(A39_5_9, reverse_line(L40_5_9)))
% 293.42/42.90 -> [2708] ~left_apart_point(A39_5_9, L40_5_9), ~left_apart_point(A39_5_9, reverse_line(L40_5_9))
% 293.42/42.90
% 293.42/42.90 [2708] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.90 -> [2713] ~(left_convergent_lines(L41_2_10, M42_2_10) | left_convergent_lines(L41_2_10, reverse_line(M42_2_10)))
% 293.42/42.90
% 293.42/42.90 [2713] ALPHA_NOT_OR : ~(left_convergent_lines(L41_2_10, M42_2_10) | left_convergent_lines(L41_2_10, reverse_line(M42_2_10)))
% 293.42/42.90 -> [2715] ~left_convergent_lines(L41_2_10, M42_2_10), ~left_convergent_lines(L41_2_10, reverse_line(M42_2_10))
% 293.42/42.90
% 293.42/42.90 [2715] CLOSURE : ~left_convergent_lines(L41_2_10, M42_2_10)
% 293.42/42.90
% 293.42/42.90 [2638] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [2719] ~(left_apart_point(A39_7_9, L40_7_9) | left_apart_point(A39_7_9, reverse_line(L40_7_9)))
% 293.42/42.90
% 293.42/42.90 [2719] ALPHA_NOT_OR : ~(left_apart_point(A39_7_9, L40_7_9) | left_apart_point(A39_7_9, reverse_line(L40_7_9)))
% 293.42/42.90 -> [2721] ~left_apart_point(A39_7_9, L40_7_9), ~left_apart_point(A39_7_9, reverse_line(L40_7_9))
% 293.42/42.90
% 293.42/42.90 [2721] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.90 -> [2742] ~(left_convergent_lines(L41_4_10, M42_4_10) | left_convergent_lines(L41_4_10, reverse_line(M42_4_10)))
% 293.42/42.90
% 293.42/42.90 [2742] ALPHA_NOT_OR : ~(left_convergent_lines(L41_4_10, M42_4_10) | left_convergent_lines(L41_4_10, reverse_line(M42_4_10)))
% 293.42/42.90 -> [2745] ~left_convergent_lines(L41_4_10, M42_4_10), ~left_convergent_lines(L41_4_10, reverse_line(M42_4_10))
% 293.42/42.90
% 293.42/42.90 [2745] CLOSURE : ~left_convergent_lines(L41_4_10, M42_4_10)
% 293.42/42.90
% 293.42/42.90 [2636] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.90 -> [2678] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.90 -> [2679] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [2679] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [2678] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.90
% 293.42/42.90 [2620] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [2664] ((unequally_directed_lines(skolem_N7979, M38_4_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_4_8))) => (left_convergent_lines(skolem_N7979, M38_4_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_4_8))))
% 293.42/42.90
% 293.42/42.90 [2664] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_4_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_4_8))) => (left_convergent_lines(skolem_N7979, M38_4_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_4_8))))
% 293.42/42.90 -> [2668] ~(unequally_directed_lines(skolem_N7979, M38_4_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_4_8)))
% 293.42/42.90 -> [2669] (left_convergent_lines(skolem_N7979, M38_4_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_4_8)))
% 293.42/42.90
% 293.42/42.90 [2669] BETA_OR : (left_convergent_lines(skolem_N7979, M38_4_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_4_8)))
% 293.42/42.90 -> [2673] left_convergent_lines(skolem_N7979, M38_4_8)
% 293.42/42.90 -> [2674] left_convergent_lines(skolem_N7979, reverse_line(M38_4_8))
% 293.42/42.90
% 293.42/42.90 [2673] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [2696] ~(left_apart_point(A39_3_9, L40_3_9) | left_apart_point(A39_3_9, reverse_line(L40_3_9)))
% 293.42/42.90
% 293.42/42.90 [2696] ALPHA_NOT_OR : ~(left_apart_point(A39_3_9, L40_3_9) | left_apart_point(A39_3_9, reverse_line(L40_3_9)))
% 293.42/42.90 -> [2764] ~left_apart_point(A39_3_9, L40_3_9), ~left_apart_point(A39_3_9, reverse_line(L40_3_9))
% 293.42/42.90
% 293.42/42.90 [2764] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.90 -> [2814] ~(left_convergent_lines(L41_6_10, M42_6_10) | left_convergent_lines(L41_6_10, reverse_line(M42_6_10)))
% 293.42/42.90
% 293.42/42.90 [2814] ALPHA_NOT_OR : ~(left_convergent_lines(L41_6_10, M42_6_10) | left_convergent_lines(L41_6_10, reverse_line(M42_6_10)))
% 293.42/42.90 -> [2815] ~left_convergent_lines(L41_6_10, M42_6_10), ~left_convergent_lines(L41_6_10, reverse_line(M42_6_10))
% 293.42/42.90
% 293.42/42.90 [2815] CLOSURE : ~left_convergent_lines(L41_6_10, M42_6_10)
% 293.42/42.90
% 293.42/42.90 [2674] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [2697] ~(left_apart_point(A39_4_9, L40_4_9) | left_apart_point(A39_4_9, reverse_line(L40_4_9)))
% 293.42/42.90
% 293.42/42.90 [2697] ALPHA_NOT_OR : ~(left_apart_point(A39_4_9, L40_4_9) | left_apart_point(A39_4_9, reverse_line(L40_4_9)))
% 293.42/42.90 -> [2784] ~left_apart_point(A39_4_9, L40_4_9), ~left_apart_point(A39_4_9, reverse_line(L40_4_9))
% 293.42/42.90
% 293.42/42.90 [2784] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.90 -> [2866] ~(left_convergent_lines(L41_7_10, M42_7_10) | left_convergent_lines(L41_7_10, reverse_line(M42_7_10)))
% 293.42/42.90
% 293.42/42.90 [2866] ALPHA_NOT_OR : ~(left_convergent_lines(L41_7_10, M42_7_10) | left_convergent_lines(L41_7_10, reverse_line(M42_7_10)))
% 293.42/42.90 -> [2867] ~left_convergent_lines(L41_7_10, M42_7_10), ~left_convergent_lines(L41_7_10, reverse_line(M42_7_10))
% 293.42/42.90
% 293.42/42.90 [2867] CLOSURE : ~left_convergent_lines(L41_7_10, M42_7_10)
% 293.42/42.90
% 293.42/42.90 [2668] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_4_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_4_8)))
% 293.42/42.90 -> [2743] ~unequally_directed_lines(skolem_N7979, M38_4_8)
% 293.42/42.90 -> [2744] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_4_8))
% 293.42/42.90
% 293.42/42.90 [2743] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_4_8)
% 293.42/42.90
% 293.42/42.90 [2744] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_4_8))
% 293.42/42.90
% 293.42/42.90 [549] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.42/42.90 -> [574] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.90 -> [575] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.90
% 293.42/42.90 [574] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.90 -> [602] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))
% 293.42/42.90 -> [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)))
% 293.42/42.90
% 293.42/42.90 [603] 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)))
% 293.42/42.90 -> [605] (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)))
% 293.42/42.90
% 293.42/42.90 [605] 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)))
% 293.42/42.90 -> [607] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 293.42/42.90 -> [608] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [608] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.90 -> [1070] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.90
% 293.42/42.90 [1070] 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))))
% 293.42/42.90 -> [2873] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.90
% 293.42/42.90 [2873] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.90 -> [2874] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.90 -> [2875] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.90
% 293.42/42.90 [2874] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.90
% 293.42/42.90 [2875] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.90 -> [4065] distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.90 -> [4066] distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.90
% 293.42/42.90 [4066] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.90
% 293.42/42.90 [4065] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.90 -> [5009] ~distinct_lines(N27_134_3, N27_134_3)
% 293.42/42.90
% 293.42/42.90 [5009] 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))))
% 293.42/42.90 -> [5029] (distinct_lines(N27_134_3, N27_134_3) => (distinct_lines(N27_134_3, N27_134_3) | distinct_lines(N27_134_3, N27_134_3)))
% 293.42/42.90
% 293.42/42.90 [5029] BETA_IMPLY : (distinct_lines(N27_134_3, N27_134_3) => (distinct_lines(N27_134_3, N27_134_3) | distinct_lines(N27_134_3, N27_134_3)))
% 293.42/42.90 -> [5030] ~distinct_lines(N27_134_3, N27_134_3)
% 293.42/42.90 -> [5031] (distinct_lines(N27_134_3, N27_134_3) | distinct_lines(N27_134_3, N27_134_3))
% 293.42/42.90
% 293.42/42.90 [5031] BETA_OR : (distinct_lines(N27_134_3, N27_134_3) | distinct_lines(N27_134_3, N27_134_3))
% 293.42/42.90 -> [5039] distinct_lines(N27_134_3, N27_134_3)
% 293.42/42.90 -> [5040] distinct_lines(N27_134_3, N27_134_3)
% 293.42/42.90
% 293.42/42.90 [5040] CLOSURE : distinct_lines(N27_134_3, N27_134_3)
% 293.42/42.90
% 293.42/42.90 [5039] CLOSURE : distinct_lines(N27_134_3, N27_134_3)
% 293.42/42.90
% 293.42/42.90 [5030] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.90 -> [5103] ~unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.90
% 293.42/42.90 [5103] 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))))
% 293.42/42.90 -> [5254] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.90
% 293.42/42.90 [5254] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.90 -> [5255] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.90 -> [5256] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.90
% 293.42/42.90 [5255] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.90
% 293.42/42.90 [5256] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.90 -> [8527] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.90 -> [8528] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.90
% 293.42/42.90 [8528] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.90
% 293.42/42.90 [8527] 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))))))
% 293.42/42.90 -> [10970] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_139_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_139_6))) | (unequally_directed_lines(skolem_N7979, N34_139_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_139_6)))))
% 293.42/42.90
% 293.42/42.90 [10970] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_139_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_139_6))) | (unequally_directed_lines(skolem_N7979, N34_139_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_139_6)))))
% 293.42/42.90 -> [10973] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.90 -> [10974] ((unequally_directed_lines(skolem_M7878, N34_139_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_139_6))) | (unequally_directed_lines(skolem_N7979, N34_139_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_139_6))))
% 293.42/42.90
% 293.42/42.90 [10973] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.90 -> [11029] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.90 -> [11030] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [11030] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [11029] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.90
% 293.42/42.90 [10974] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_139_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_139_6))) | (unequally_directed_lines(skolem_N7979, N34_139_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_139_6))))
% 293.42/42.90 -> [13477] (unequally_directed_lines(skolem_M7878, N34_139_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_139_6)))
% 293.42/42.90 -> [13478] (unequally_directed_lines(skolem_N7979, N34_139_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_139_6)))
% 293.42/42.90
% 293.42/42.90 [13478] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_139_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_139_6)))
% 293.42/42.90 -> [13479] unequally_directed_lines(skolem_N7979, N34_139_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_139_6))
% 293.42/42.90
% 293.42/42.90 [13479] 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)))))
% 293.42/42.90 -> [13648] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.90
% 293.42/42.90 [13648] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.90 -> [13654] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.90 -> [13655] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.90
% 293.42/42.90 [13654] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.90 -> [13674] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.90 -> [13675] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.90
% 293.42/42.90 [13674] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [13736] ((unequally_directed_lines(skolem_N7979, M38_353_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_353_8))) => (left_convergent_lines(skolem_N7979, M38_353_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_353_8))))
% 293.42/42.90
% 293.42/42.90 [13736] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_353_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_353_8))) => (left_convergent_lines(skolem_N7979, M38_353_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_353_8))))
% 293.42/42.90 -> [13739] ~(unequally_directed_lines(skolem_N7979, M38_353_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_353_8)))
% 293.42/42.90 -> [13740] (left_convergent_lines(skolem_N7979, M38_353_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_353_8)))
% 293.42/42.90
% 293.42/42.90 [13740] BETA_OR : (left_convergent_lines(skolem_N7979, M38_353_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_353_8)))
% 293.42/42.90 -> [13745] left_convergent_lines(skolem_N7979, M38_353_8)
% 293.42/42.90 -> [13746] left_convergent_lines(skolem_N7979, reverse_line(M38_353_8))
% 293.42/42.90
% 293.42/42.90 [13746] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [13834] ~(left_apart_point(A39_666_9, L40_666_9) | left_apart_point(A39_666_9, reverse_line(L40_666_9)))
% 293.42/42.90
% 293.42/42.90 [13834] ALPHA_NOT_OR : ~(left_apart_point(A39_666_9, L40_666_9) | left_apart_point(A39_666_9, reverse_line(L40_666_9)))
% 293.42/42.90 -> [13835] ~left_apart_point(A39_666_9, L40_666_9), ~left_apart_point(A39_666_9, reverse_line(L40_666_9))
% 293.42/42.90
% 293.42/42.90 [13835] CLOSURE : ~left_apart_point(A39_666_9, L40_666_9)
% 293.42/42.90
% 293.42/42.90 [13745] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [13850] ~(left_apart_point(A39_671_9, L40_671_9) | left_apart_point(A39_671_9, reverse_line(L40_671_9)))
% 293.42/42.90
% 293.42/42.90 [13850] ALPHA_NOT_OR : ~(left_apart_point(A39_671_9, L40_671_9) | left_apart_point(A39_671_9, reverse_line(L40_671_9)))
% 293.42/42.90 -> [13851] ~left_apart_point(A39_671_9, L40_671_9), ~left_apart_point(A39_671_9, reverse_line(L40_671_9))
% 293.42/42.90
% 293.42/42.90 [13851] CLOSURE : ~left_apart_point(A39_671_9, L40_671_9)
% 293.42/42.90
% 293.42/42.90 [13739] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_353_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_353_8)))
% 293.42/42.90 -> [13775] ~unequally_directed_lines(skolem_N7979, M38_353_8)
% 293.42/42.90 -> [13776] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_353_8))
% 293.42/42.90
% 293.42/42.90 [13776] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_353_8))
% 293.42/42.90
% 293.42/42.90 [13775] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_353_8)
% 293.42/42.90
% 293.42/42.90 [13675] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [13700] ((unequally_directed_lines(skolem_N7979, M38_349_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_349_8))) => (left_convergent_lines(skolem_N7979, M38_349_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_349_8))))
% 293.42/42.90
% 293.42/42.90 [13700] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_349_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_349_8))) => (left_convergent_lines(skolem_N7979, M38_349_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_349_8))))
% 293.42/42.90 -> [13704] ~(unequally_directed_lines(skolem_N7979, M38_349_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_349_8)))
% 293.42/42.90 -> [13705] (left_convergent_lines(skolem_N7979, M38_349_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_349_8)))
% 293.42/42.90
% 293.42/42.90 [13704] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_349_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_349_8)))
% 293.42/42.90 -> [13752] ~unequally_directed_lines(skolem_N7979, M38_349_8)
% 293.42/42.90 -> [13753] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_349_8))
% 293.42/42.90
% 293.42/42.90 [13753] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_349_8))
% 293.42/42.90
% 293.42/42.90 [13752] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_349_8)
% 293.42/42.90
% 293.42/42.90 [13705] BETA_OR : (left_convergent_lines(skolem_N7979, M38_349_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_349_8)))
% 293.42/42.90 -> [13707] left_convergent_lines(skolem_N7979, M38_349_8)
% 293.42/42.90 -> [13708] left_convergent_lines(skolem_N7979, reverse_line(M38_349_8))
% 293.42/42.90
% 293.42/42.90 [13707] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [13858] ~(left_apart_point(A39_673_9, L40_673_9) | left_apart_point(A39_673_9, reverse_line(L40_673_9)))
% 293.42/42.90
% 293.42/42.90 [13858] ALPHA_NOT_OR : ~(left_apart_point(A39_673_9, L40_673_9) | left_apart_point(A39_673_9, reverse_line(L40_673_9)))
% 293.42/42.90 -> [13861] ~left_apart_point(A39_673_9, L40_673_9), ~left_apart_point(A39_673_9, reverse_line(L40_673_9))
% 293.42/42.90
% 293.42/42.90 [13861] CLOSURE : ~left_apart_point(A39_673_9, L40_673_9)
% 293.42/42.90
% 293.42/42.90 [13708] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [13811] ~(left_apart_point(A39_663_9, L40_663_9) | left_apart_point(A39_663_9, reverse_line(L40_663_9)))
% 293.42/42.90
% 293.42/42.90 [13811] ALPHA_NOT_OR : ~(left_apart_point(A39_663_9, L40_663_9) | left_apart_point(A39_663_9, reverse_line(L40_663_9)))
% 293.42/42.90 -> [13813] ~left_apart_point(A39_663_9, L40_663_9), ~left_apart_point(A39_663_9, reverse_line(L40_663_9))
% 293.42/42.90
% 293.42/42.90 [13813] CLOSURE : ~left_apart_point(A39_663_9, L40_663_9)
% 293.42/42.90
% 293.42/42.90 [13655] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.90 -> [13661] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.90 -> [13662] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.90
% 293.42/42.90 [13661] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.90
% 293.42/42.90 [13662] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [13714] ((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))))
% 293.42/42.90
% 293.42/42.90 [13714] 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))))
% 293.42/42.90 -> [13716] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.90 -> [13717] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.90
% 293.42/42.90 [13717] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.90 -> [13725] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.90 -> [13726] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [13726] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [13876] ~(left_apart_point(A39_675_9, L40_675_9) | left_apart_point(A39_675_9, reverse_line(L40_675_9)))
% 293.42/42.90
% 293.42/42.90 [13876] ALPHA_NOT_OR : ~(left_apart_point(A39_675_9, L40_675_9) | left_apart_point(A39_675_9, reverse_line(L40_675_9)))
% 293.42/42.90 -> [13877] ~left_apart_point(A39_675_9, L40_675_9), ~left_apart_point(A39_675_9, reverse_line(L40_675_9))
% 293.42/42.90
% 293.42/42.90 [13877] CLOSURE : ~left_apart_point(A39_675_9, L40_675_9)
% 293.42/42.90
% 293.42/42.90 [13725] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [13902] ~(left_apart_point(A39_680_9, L40_680_9) | left_apart_point(A39_680_9, reverse_line(L40_680_9)))
% 293.42/42.90
% 293.42/42.90 [13902] ALPHA_NOT_OR : ~(left_apart_point(A39_680_9, L40_680_9) | left_apart_point(A39_680_9, reverse_line(L40_680_9)))
% 293.42/42.90 -> [13905] ~left_apart_point(A39_680_9, L40_680_9), ~left_apart_point(A39_680_9, reverse_line(L40_680_9))
% 293.42/42.90
% 293.42/42.90 [13905] CLOSURE : ~left_apart_point(A39_680_9, L40_680_9)
% 293.42/42.90
% 293.42/42.90 [13716] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.90 -> [13764] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.90 -> [13765] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [13765] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.90
% 293.42/42.90 [13764] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.90
% 293.42/42.90 [13477] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_139_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_139_6)))
% 293.42/42.90 -> [13510] unequally_directed_lines(skolem_M7878, N34_139_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_139_6))
% 293.42/42.90
% 293.42/42.90 [13510] 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)))))
% 293.42/42.90 -> [13695] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.90
% 293.42/42.90 [13695] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.90 -> [13697] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.90 -> [13698] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.90
% 293.42/42.90 [13698] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.90 -> [13701] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.90 -> [13702] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.90
% 293.42/42.90 [13701] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.90
% 293.42/42.90 [13702] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.90 -> [13751] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.90
% 293.42/42.90 [13751] 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))))
% 293.42/42.90 -> [13755] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [13756] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90
% 293.42/42.90 [13756] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.90 -> [13761] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.90 -> [13762] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.90
% 293.42/42.90 [13762] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [13837] ~(left_apart_point(A39_667_9, L40_667_9) | left_apart_point(A39_667_9, reverse_line(L40_667_9)))
% 293.42/42.90
% 293.42/42.90 [13837] ALPHA_NOT_OR : ~(left_apart_point(A39_667_9, L40_667_9) | left_apart_point(A39_667_9, reverse_line(L40_667_9)))
% 293.42/42.90 -> [13840] ~left_apart_point(A39_667_9, L40_667_9), ~left_apart_point(A39_667_9, reverse_line(L40_667_9))
% 293.42/42.90
% 293.42/42.90 [13840] CLOSURE : ~left_apart_point(A39_667_9, L40_667_9)
% 293.42/42.90
% 293.42/42.90 [13761] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.90 -> [13846] ~(left_apart_point(A39_670_9, L40_670_9) | left_apart_point(A39_670_9, reverse_line(L40_670_9)))
% 293.42/42.90
% 293.42/42.90 [13846] ALPHA_NOT_OR : ~(left_apart_point(A39_670_9, L40_670_9) | left_apart_point(A39_670_9, reverse_line(L40_670_9)))
% 293.42/42.90 -> [13847] ~left_apart_point(A39_670_9, L40_670_9), ~left_apart_point(A39_670_9, reverse_line(L40_670_9))
% 293.42/42.91
% 293.42/42.91 [13847] CLOSURE : ~left_apart_point(A39_670_9, L40_670_9)
% 293.42/42.91
% 293.42/42.91 [13755] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [13783] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91 -> [13784] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [13784] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [13783] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [13697] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.91 -> [13709] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91 -> [13710] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91
% 293.42/42.91 [13710] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [13735] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.91
% 293.42/42.91 [13735] 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))))
% 293.42/42.91 -> [13737] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [13738] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91
% 293.42/42.91 [13738] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [13741] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91 -> [13742] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [13742] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [13827] ~(left_apart_point(A39_664_9, L40_664_9) | left_apart_point(A39_664_9, reverse_line(L40_664_9)))
% 293.42/42.91
% 293.42/42.91 [13827] ALPHA_NOT_OR : ~(left_apart_point(A39_664_9, L40_664_9) | left_apart_point(A39_664_9, reverse_line(L40_664_9)))
% 293.42/42.91 -> [13830] ~left_apart_point(A39_664_9, L40_664_9), ~left_apart_point(A39_664_9, reverse_line(L40_664_9))
% 293.42/42.91
% 293.42/42.91 [13830] CLOSURE : ~left_apart_point(A39_664_9, L40_664_9)
% 293.42/42.91
% 293.42/42.91 [13741] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [13841] ~(left_apart_point(A39_669_9, L40_669_9) | left_apart_point(A39_669_9, reverse_line(L40_669_9)))
% 293.42/42.91
% 293.42/42.91 [13841] ALPHA_NOT_OR : ~(left_apart_point(A39_669_9, L40_669_9) | left_apart_point(A39_669_9, reverse_line(L40_669_9)))
% 293.42/42.91 -> [13844] ~left_apart_point(A39_669_9, L40_669_9), ~left_apart_point(A39_669_9, reverse_line(L40_669_9))
% 293.42/42.91
% 293.42/42.91 [13844] CLOSURE : ~left_apart_point(A39_669_9, L40_669_9)
% 293.42/42.91
% 293.42/42.91 [13737] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [13771] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91 -> [13772] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [13772] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [13771] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [13709] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [13789] ((unequally_directed_lines(skolem_M7878, M38_356_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_356_8))) => (left_convergent_lines(skolem_M7878, M38_356_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_356_8))))
% 293.42/42.91
% 293.42/42.91 [13789] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_356_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_356_8))) => (left_convergent_lines(skolem_M7878, M38_356_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_356_8))))
% 293.42/42.91 -> [13790] ~(unequally_directed_lines(skolem_M7878, M38_356_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_356_8)))
% 293.42/42.91 -> [13791] (left_convergent_lines(skolem_M7878, M38_356_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_356_8)))
% 293.42/42.91
% 293.42/42.91 [13791] BETA_OR : (left_convergent_lines(skolem_M7878, M38_356_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_356_8)))
% 293.42/42.91 -> [13797] left_convergent_lines(skolem_M7878, M38_356_8)
% 293.42/42.91 -> [13798] left_convergent_lines(skolem_M7878, reverse_line(M38_356_8))
% 293.42/42.91
% 293.42/42.91 [13798] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [13900] ~(left_apart_point(A39_678_9, L40_678_9) | left_apart_point(A39_678_9, reverse_line(L40_678_9)))
% 293.42/42.91
% 293.42/42.91 [13900] ALPHA_NOT_OR : ~(left_apart_point(A39_678_9, L40_678_9) | left_apart_point(A39_678_9, reverse_line(L40_678_9)))
% 293.42/42.91 -> [13903] ~left_apart_point(A39_678_9, L40_678_9), ~left_apart_point(A39_678_9, reverse_line(L40_678_9))
% 293.42/42.91
% 293.42/42.91 [13903] CLOSURE : ~left_apart_point(A39_678_9, L40_678_9)
% 293.42/42.91
% 293.42/42.91 [13797] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [17314] ~(left_apart_point(A39_1075_9, L40_1075_9) | left_apart_point(A39_1075_9, reverse_line(L40_1075_9)))
% 293.42/42.91
% 293.42/42.91 [17314] ALPHA_NOT_OR : ~(left_apart_point(A39_1075_9, L40_1075_9) | left_apart_point(A39_1075_9, reverse_line(L40_1075_9)))
% 293.42/42.91 -> [17315] ~left_apart_point(A39_1075_9, L40_1075_9), ~left_apart_point(A39_1075_9, reverse_line(L40_1075_9))
% 293.42/42.91
% 293.42/42.91 [17315] CLOSURE : ~left_apart_point(A39_1075_9, L40_1075_9)
% 293.42/42.91
% 293.42/42.91 [13790] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_356_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_356_8)))
% 293.42/42.91 -> [13804] ~unequally_directed_lines(skolem_M7878, M38_356_8)
% 293.42/42.91 -> [13805] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_356_8))
% 293.42/42.91
% 293.42/42.91 [13804] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_356_8)
% 293.42/42.91
% 293.42/42.91 [13805] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_356_8))
% 293.42/42.91
% 293.42/42.91 [607] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.91 -> [1180] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.91
% 293.42/42.91 [1180] 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))))
% 293.42/42.91 -> [1427] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.91
% 293.42/42.91 [1427] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.91 -> [1430] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.91 -> [1431] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.91
% 293.42/42.91 [1430] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.91
% 293.42/42.91 [1431] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.91 -> [5019] distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.91 -> [5020] distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.91
% 293.42/42.91 [5020] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.91
% 293.42/42.91 [5019] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.91 -> [6018] ~distinct_lines(N27_190_3, N27_190_3)
% 293.42/42.91
% 293.42/42.91 [6018] 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))))
% 293.42/42.91 -> [6168] (distinct_lines(N27_190_3, N27_190_3) => (distinct_lines(N27_190_3, N27_190_3) | distinct_lines(N27_190_3, N27_190_3)))
% 293.42/42.91
% 293.42/42.91 [6168] BETA_IMPLY : (distinct_lines(N27_190_3, N27_190_3) => (distinct_lines(N27_190_3, N27_190_3) | distinct_lines(N27_190_3, N27_190_3)))
% 293.42/42.91 -> [6170] ~distinct_lines(N27_190_3, N27_190_3)
% 293.42/42.91 -> [6171] (distinct_lines(N27_190_3, N27_190_3) | distinct_lines(N27_190_3, N27_190_3))
% 293.42/42.91
% 293.42/42.91 [6171] BETA_OR : (distinct_lines(N27_190_3, N27_190_3) | distinct_lines(N27_190_3, N27_190_3))
% 293.42/42.91 -> [6175] distinct_lines(N27_190_3, N27_190_3)
% 293.42/42.91 -> [6176] distinct_lines(N27_190_3, N27_190_3)
% 293.42/42.91
% 293.42/42.91 [6176] CLOSURE : distinct_lines(N27_190_3, N27_190_3)
% 293.42/42.91
% 293.42/42.91 [6175] CLOSURE : distinct_lines(N27_190_3, N27_190_3)
% 293.42/42.91
% 293.42/42.91 [6170] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.91 -> [6381] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [6381] 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))))
% 293.42/42.91 -> [6623] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878)))
% 293.42/42.91
% 293.42/42.91 [6623] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878)))
% 293.42/42.91 -> [6626] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91 -> [6627] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [6626] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91
% 293.42/42.91 [6627] 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)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878))
% 293.42/42.91 -> [10571] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.91 -> [10572] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [10571] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [10572] 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))))))
% 293.42/42.91 -> [12820] ((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)))))
% 293.42/42.91
% 293.42/42.91 [12820] 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)))))
% 293.42/42.91 -> [12822] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.91 -> [12823] ((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))))
% 293.42/42.91
% 293.42/42.91 [12822] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.91 -> [12871] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.91 -> [12872] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [12872] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [12871] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.91
% 293.42/42.91 [12823] 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))))
% 293.42/42.91 -> [20054] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [20055] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.91
% 293.42/42.91 [20054] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [20065] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [20065] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [20055] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [20058] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [20058] 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)))))
% 293.42/42.91 -> [20097] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.91
% 293.42/42.91 [20097] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.91 -> [20099] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.91 -> [20100] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.91
% 293.42/42.91 [20099] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.91 -> [20105] ~line(skolem_M7878)
% 293.42/42.91 -> [20106] ~line(skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [20105] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [20152] ((unequally_directed_lines(skolem_N7979, M38_754_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_754_8))) => (left_convergent_lines(skolem_N7979, M38_754_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_754_8))))
% 293.42/42.91
% 293.42/42.91 [20152] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_754_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_754_8))) => (left_convergent_lines(skolem_N7979, M38_754_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_754_8))))
% 293.42/42.91 -> [20159] ~(unequally_directed_lines(skolem_N7979, M38_754_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_754_8)))
% 293.42/42.91 -> [20160] (left_convergent_lines(skolem_N7979, M38_754_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_754_8)))
% 293.42/42.91
% 293.42/42.91 [20159] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_754_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_754_8)))
% 293.42/42.91 -> [20210] ~unequally_directed_lines(skolem_N7979, M38_754_8)
% 293.42/42.91 -> [20211] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_754_8))
% 293.42/42.91
% 293.42/42.91 [20211] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_754_8))
% 293.42/42.91
% 293.42/42.91 [20210] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_754_8)
% 293.42/42.91
% 293.42/42.91 [20160] BETA_OR : (left_convergent_lines(skolem_N7979, M38_754_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_754_8)))
% 293.42/42.91 -> [20167] left_convergent_lines(skolem_N7979, M38_754_8)
% 293.42/42.91 -> [20168] left_convergent_lines(skolem_N7979, reverse_line(M38_754_8))
% 293.42/42.91
% 293.42/42.91 [20168] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [20280] ~(left_apart_point(A39_1452_9, L40_1452_9) | left_apart_point(A39_1452_9, reverse_line(L40_1452_9)))
% 293.42/42.91
% 293.42/42.91 [20280] ALPHA_NOT_OR : ~(left_apart_point(A39_1452_9, L40_1452_9) | left_apart_point(A39_1452_9, reverse_line(L40_1452_9)))
% 293.42/42.91 -> [20281] ~left_apart_point(A39_1452_9, L40_1452_9), ~left_apart_point(A39_1452_9, reverse_line(L40_1452_9))
% 293.42/42.91
% 293.42/42.91 [20281] CLOSURE : ~left_apart_point(A39_1452_9, L40_1452_9)
% 293.42/42.91
% 293.42/42.91 [20167] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [20322] ~(left_apart_point(A39_1462_9, L40_1462_9) | left_apart_point(A39_1462_9, reverse_line(L40_1462_9)))
% 293.42/42.91
% 293.42/42.91 [20322] ALPHA_NOT_OR : ~(left_apart_point(A39_1462_9, L40_1462_9) | left_apart_point(A39_1462_9, reverse_line(L40_1462_9)))
% 293.42/42.91 -> [20323] ~left_apart_point(A39_1462_9, L40_1462_9), ~left_apart_point(A39_1462_9, reverse_line(L40_1462_9))
% 293.42/42.91
% 293.42/42.91 [20323] CLOSURE : ~left_apart_point(A39_1462_9, L40_1462_9)
% 293.42/42.91
% 293.42/42.91 [20106] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [20179] ((unequally_directed_lines(skolem_N7979, M38_755_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_755_8))) => (left_convergent_lines(skolem_N7979, M38_755_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_755_8))))
% 293.42/42.91
% 293.42/42.91 [20179] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_755_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_755_8))) => (left_convergent_lines(skolem_N7979, M38_755_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_755_8))))
% 293.42/42.91 -> [20181] ~(unequally_directed_lines(skolem_N7979, M38_755_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_755_8)))
% 293.42/42.91 -> [20182] (left_convergent_lines(skolem_N7979, M38_755_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_755_8)))
% 293.42/42.91
% 293.42/42.91 [20181] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_755_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_755_8)))
% 293.42/42.91 -> [20221] ~unequally_directed_lines(skolem_N7979, M38_755_8)
% 293.42/42.91 -> [20222] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_755_8))
% 293.42/42.91
% 293.42/42.91 [20222] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_755_8))
% 293.42/42.91
% 293.42/42.91 [20221] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_755_8)
% 293.42/42.91
% 293.42/42.91 [20182] BETA_OR : (left_convergent_lines(skolem_N7979, M38_755_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_755_8)))
% 293.42/42.91 -> [20188] left_convergent_lines(skolem_N7979, M38_755_8)
% 293.42/42.91 -> [20189] left_convergent_lines(skolem_N7979, reverse_line(M38_755_8))
% 293.42/42.91
% 293.42/42.91 [20189] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [20292] ~(left_apart_point(A39_1453_9, L40_1453_9) | left_apart_point(A39_1453_9, reverse_line(L40_1453_9)))
% 293.42/42.91
% 293.42/42.91 [20292] ALPHA_NOT_OR : ~(left_apart_point(A39_1453_9, L40_1453_9) | left_apart_point(A39_1453_9, reverse_line(L40_1453_9)))
% 293.42/42.91 -> [20295] ~left_apart_point(A39_1453_9, L40_1453_9), ~left_apart_point(A39_1453_9, reverse_line(L40_1453_9))
% 293.42/42.91
% 293.42/42.91 [20295] CLOSURE : ~left_apart_point(A39_1453_9, L40_1453_9)
% 293.42/42.91
% 293.42/42.91 [20188] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [20342] ~(left_apart_point(A39_1467_9, L40_1467_9) | left_apart_point(A39_1467_9, reverse_line(L40_1467_9)))
% 293.42/42.91
% 293.42/42.91 [20342] ALPHA_NOT_OR : ~(left_apart_point(A39_1467_9, L40_1467_9) | left_apart_point(A39_1467_9, reverse_line(L40_1467_9)))
% 293.42/42.91 -> [20346] ~left_apart_point(A39_1467_9, L40_1467_9), ~left_apart_point(A39_1467_9, reverse_line(L40_1467_9))
% 293.42/42.91
% 293.42/42.91 [20346] CLOSURE : ~left_apart_point(A39_1467_9, L40_1467_9)
% 293.42/42.91
% 293.42/42.91 [20100] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [20101] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.91 -> [20102] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [20101] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [20102] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [20134] ((unequally_directed_lines(skolem_N7979, M38_749_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_749_8))) => (left_convergent_lines(skolem_N7979, M38_749_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_749_8))))
% 293.42/42.91
% 293.42/42.91 [20134] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_749_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_749_8))) => (left_convergent_lines(skolem_N7979, M38_749_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_749_8))))
% 293.42/42.91 -> [20135] ~(unequally_directed_lines(skolem_N7979, M38_749_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_749_8)))
% 293.42/42.91 -> [20136] (left_convergent_lines(skolem_N7979, M38_749_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_749_8)))
% 293.42/42.91
% 293.42/42.91 [20136] BETA_OR : (left_convergent_lines(skolem_N7979, M38_749_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_749_8)))
% 293.42/42.91 -> [20143] left_convergent_lines(skolem_N7979, M38_749_8)
% 293.42/42.91 -> [20144] left_convergent_lines(skolem_N7979, reverse_line(M38_749_8))
% 293.42/42.91
% 293.42/42.91 [20144] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [20267] ~(left_apart_point(A39_1449_9, L40_1449_9) | left_apart_point(A39_1449_9, reverse_line(L40_1449_9)))
% 293.42/42.91
% 293.42/42.91 [20267] ALPHA_NOT_OR : ~(left_apart_point(A39_1449_9, L40_1449_9) | left_apart_point(A39_1449_9, reverse_line(L40_1449_9)))
% 293.42/42.91 -> [20269] ~left_apart_point(A39_1449_9, L40_1449_9), ~left_apart_point(A39_1449_9, reverse_line(L40_1449_9))
% 293.42/42.91
% 293.42/42.91 [20269] CLOSURE : ~left_apart_point(A39_1449_9, L40_1449_9)
% 293.42/42.91
% 293.42/42.91 [20143] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [20303] ~(left_apart_point(A39_1456_9, L40_1456_9) | left_apart_point(A39_1456_9, reverse_line(L40_1456_9)))
% 293.42/42.91
% 293.42/42.91 [20303] ALPHA_NOT_OR : ~(left_apart_point(A39_1456_9, L40_1456_9) | left_apart_point(A39_1456_9, reverse_line(L40_1456_9)))
% 293.42/42.91 -> [20308] ~left_apart_point(A39_1456_9, L40_1456_9), ~left_apart_point(A39_1456_9, reverse_line(L40_1456_9))
% 293.42/42.91
% 293.42/42.91 [20308] CLOSURE : ~left_apart_point(A39_1456_9, L40_1456_9)
% 293.42/42.91
% 293.42/42.91 [20135] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_749_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_749_8)))
% 293.42/42.91 -> [20194] ~unequally_directed_lines(skolem_N7979, M38_749_8)
% 293.42/42.91 -> [20195] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_749_8))
% 293.42/42.91
% 293.42/42.91 [20195] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_749_8))
% 293.42/42.91
% 293.42/42.91 [20194] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_749_8)
% 293.42/42.91
% 293.42/42.91 [602] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.91 -> [2154] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.91
% 293.42/42.91 [2154] 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))))
% 293.42/42.91 -> [2249] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.91
% 293.42/42.91 [2249] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.91 -> [2251] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.91 -> [2252] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.91
% 293.42/42.91 [2251] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.91
% 293.42/42.91 [2252] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.91 -> [5473] distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.91 -> [5474] distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.91
% 293.42/42.91 [5474] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.91
% 293.42/42.91 [5473] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.91 -> [6920] ~distinct_lines(M26_233_3, M26_233_3)
% 293.42/42.91
% 293.42/42.91 [6920] 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))))
% 293.42/42.91 -> [7231] (distinct_lines(M26_233_3, M26_233_3) => (distinct_lines(M26_233_3, M26_233_3) | distinct_lines(M26_233_3, M26_233_3)))
% 293.42/42.91
% 293.42/42.91 [7231] BETA_IMPLY : (distinct_lines(M26_233_3, M26_233_3) => (distinct_lines(M26_233_3, M26_233_3) | distinct_lines(M26_233_3, M26_233_3)))
% 293.42/42.91 -> [7232] ~distinct_lines(M26_233_3, M26_233_3)
% 293.42/42.91 -> [7233] (distinct_lines(M26_233_3, M26_233_3) | distinct_lines(M26_233_3, M26_233_3))
% 293.42/42.91
% 293.42/42.91 [7233] BETA_OR : (distinct_lines(M26_233_3, M26_233_3) | distinct_lines(M26_233_3, M26_233_3))
% 293.42/42.91 -> [7242] distinct_lines(M26_233_3, M26_233_3)
% 293.42/42.91 -> [7243] distinct_lines(M26_233_3, M26_233_3)
% 293.42/42.91
% 293.42/42.91 [7242] CLOSURE : distinct_lines(M26_233_3, M26_233_3)
% 293.42/42.91
% 293.42/42.91 [7243] CLOSURE : distinct_lines(M26_233_3, M26_233_3)
% 293.42/42.91
% 293.42/42.91 [7232] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.91 -> [7645] ~unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91
% 293.42/42.91 [7645] 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))))
% 293.42/42.91 -> [7885] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.91
% 293.42/42.91 [7885] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.91 -> [7886] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91 -> [7887] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.91
% 293.42/42.91 [7886] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91
% 293.42/42.91 [7887] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.91 -> [15002] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91 -> [15003] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91
% 293.42/42.91 [15003] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91
% 293.42/42.91 [15002] 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))))))
% 293.42/42.91 -> [15040] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_208_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_208_6))) | (unequally_directed_lines(skolem_N7979, N34_208_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_208_6)))))
% 293.42/42.91
% 293.42/42.91 [15040] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_208_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_208_6))) | (unequally_directed_lines(skolem_N7979, N34_208_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_208_6)))))
% 293.42/42.91 -> [15042] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.91 -> [15043] ((unequally_directed_lines(skolem_M7878, N34_208_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_208_6))) | (unequally_directed_lines(skolem_N7979, N34_208_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_208_6))))
% 293.42/42.91
% 293.42/42.91 [15042] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.91 -> [15057] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.91 -> [15058] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [15058] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [15057] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.91
% 293.42/42.91 [15043] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_208_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_208_6))) | (unequally_directed_lines(skolem_N7979, N34_208_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_208_6))))
% 293.42/42.91 -> [18337] (unequally_directed_lines(skolem_M7878, N34_208_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_208_6)))
% 293.42/42.91 -> [18338] (unequally_directed_lines(skolem_N7979, N34_208_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_208_6)))
% 293.42/42.91
% 293.42/42.91 [18337] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_208_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_208_6)))
% 293.42/42.91 -> [18368] unequally_directed_lines(skolem_M7878, N34_208_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_208_6))
% 293.42/42.91
% 293.42/42.91 [18368] 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)))))
% 293.42/42.91 -> [18585] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.91
% 293.42/42.91 [18585] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.91 -> [18586] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.91 -> [18587] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.91
% 293.42/42.91 [18587] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.91 -> [18588] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91 -> [18589] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.91
% 293.42/42.91 [18588] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91
% 293.42/42.91 [18589] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [18786] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.91
% 293.42/42.91 [18786] 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))))
% 293.42/42.91 -> [18788] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [18789] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91
% 293.42/42.91 [18788] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [18852] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91 -> [18853] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [18853] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [18852] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [18789] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [18795] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91 -> [18796] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [18796] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [19026] ~(left_apart_point(A39_1287_9, L40_1287_9) | left_apart_point(A39_1287_9, reverse_line(L40_1287_9)))
% 293.42/42.91
% 293.42/42.91 [19026] ALPHA_NOT_OR : ~(left_apart_point(A39_1287_9, L40_1287_9) | left_apart_point(A39_1287_9, reverse_line(L40_1287_9)))
% 293.42/42.91 -> [19030] ~left_apart_point(A39_1287_9, L40_1287_9), ~left_apart_point(A39_1287_9, reverse_line(L40_1287_9))
% 293.42/42.91
% 293.42/42.91 [19030] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.91 -> [19233] ~(left_convergent_lines(L41_164_10, M42_164_10) | left_convergent_lines(L41_164_10, reverse_line(M42_164_10)))
% 293.42/42.91
% 293.42/42.91 [19233] ALPHA_NOT_OR : ~(left_convergent_lines(L41_164_10, M42_164_10) | left_convergent_lines(L41_164_10, reverse_line(M42_164_10)))
% 293.42/42.91 -> [19234] ~left_convergent_lines(L41_164_10, M42_164_10), ~left_convergent_lines(L41_164_10, reverse_line(M42_164_10))
% 293.42/42.91
% 293.42/42.91 [19234] CLOSURE : ~left_convergent_lines(L41_164_10, M42_164_10)
% 293.42/42.91
% 293.42/42.91 [18795] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [19081] ~(left_apart_point(A39_1293_9, L40_1293_9) | left_apart_point(A39_1293_9, reverse_line(L40_1293_9)))
% 293.42/42.91
% 293.42/42.91 [19081] ALPHA_NOT_OR : ~(left_apart_point(A39_1293_9, L40_1293_9) | left_apart_point(A39_1293_9, reverse_line(L40_1293_9)))
% 293.42/42.91 -> [19084] ~left_apart_point(A39_1293_9, L40_1293_9), ~left_apart_point(A39_1293_9, reverse_line(L40_1293_9))
% 293.42/42.91
% 293.42/42.91 [19084] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.91 -> [19308] ~(left_convergent_lines(L41_169_10, M42_169_10) | left_convergent_lines(L41_169_10, reverse_line(M42_169_10)))
% 293.42/42.91
% 293.42/42.91 [19308] ALPHA_NOT_OR : ~(left_convergent_lines(L41_169_10, M42_169_10) | left_convergent_lines(L41_169_10, reverse_line(M42_169_10)))
% 293.42/42.91 -> [19314] ~left_convergent_lines(L41_169_10, M42_169_10), ~left_convergent_lines(L41_169_10, reverse_line(M42_169_10))
% 293.42/42.91
% 293.42/42.91 [19314] CLOSURE : ~left_convergent_lines(L41_169_10, M42_169_10)
% 293.42/42.91
% 293.42/42.91 [18586] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.91 -> [18622] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91 -> [18623] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91
% 293.42/42.91 [18623] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [18775] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.91
% 293.42/42.91 [18775] 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))))
% 293.42/42.91 -> [18778] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [18779] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91
% 293.42/42.91 [18778] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [18844] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91 -> [18845] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [18845] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [18844] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [18779] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [18781] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91 -> [18782] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [18782] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [19006] ~(left_apart_point(A39_1285_9, L40_1285_9) | left_apart_point(A39_1285_9, reverse_line(L40_1285_9)))
% 293.42/42.91
% 293.42/42.91 [19006] ALPHA_NOT_OR : ~(left_apart_point(A39_1285_9, L40_1285_9) | left_apart_point(A39_1285_9, reverse_line(L40_1285_9)))
% 293.42/42.91 -> [19013] ~left_apart_point(A39_1285_9, L40_1285_9), ~left_apart_point(A39_1285_9, reverse_line(L40_1285_9))
% 293.42/42.91
% 293.42/42.91 [19013] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.91 -> [19227] ~(left_convergent_lines(L41_163_10, M42_163_10) | left_convergent_lines(L41_163_10, reverse_line(M42_163_10)))
% 293.42/42.91
% 293.42/42.91 [19227] ALPHA_NOT_OR : ~(left_convergent_lines(L41_163_10, M42_163_10) | left_convergent_lines(L41_163_10, reverse_line(M42_163_10)))
% 293.42/42.91 -> [19228] ~left_convergent_lines(L41_163_10, M42_163_10), ~left_convergent_lines(L41_163_10, reverse_line(M42_163_10))
% 293.42/42.91
% 293.42/42.91 [19228] CLOSURE : ~left_convergent_lines(L41_163_10, M42_163_10)
% 293.42/42.91
% 293.42/42.91 [18781] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [19078] ~(left_apart_point(A39_1292_9, L40_1292_9) | left_apart_point(A39_1292_9, reverse_line(L40_1292_9)))
% 293.42/42.91
% 293.42/42.91 [19078] ALPHA_NOT_OR : ~(left_apart_point(A39_1292_9, L40_1292_9) | left_apart_point(A39_1292_9, reverse_line(L40_1292_9)))
% 293.42/42.91 -> [19079] ~left_apart_point(A39_1292_9, L40_1292_9), ~left_apart_point(A39_1292_9, reverse_line(L40_1292_9))
% 293.42/42.91
% 293.42/42.91 [19079] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.91 -> [19300] ~(left_convergent_lines(L41_168_10, M42_168_10) | left_convergent_lines(L41_168_10, reverse_line(M42_168_10)))
% 293.42/42.91
% 293.42/42.91 [19300] ALPHA_NOT_OR : ~(left_convergent_lines(L41_168_10, M42_168_10) | left_convergent_lines(L41_168_10, reverse_line(M42_168_10)))
% 293.42/42.91 -> [19302] ~left_convergent_lines(L41_168_10, M42_168_10), ~left_convergent_lines(L41_168_10, reverse_line(M42_168_10))
% 293.42/42.91
% 293.42/42.91 [19302] CLOSURE : ~left_convergent_lines(L41_168_10, M42_168_10)
% 293.42/42.91
% 293.42/42.91 [18622] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [18886] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.91
% 293.42/42.91 [18886] 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))))
% 293.42/42.91 -> [18888] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [18889] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91
% 293.42/42.91 [18888] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [18941] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91 -> [18942] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [18941] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [18942] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [18889] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [18895] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91 -> [18896] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [18895] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [19144] ~(left_apart_point(A39_1304_9, L40_1304_9) | left_apart_point(A39_1304_9, reverse_line(L40_1304_9)))
% 293.42/42.91
% 293.42/42.91 [19144] ALPHA_NOT_OR : ~(left_apart_point(A39_1304_9, L40_1304_9) | left_apart_point(A39_1304_9, reverse_line(L40_1304_9)))
% 293.42/42.91 -> [19147] ~left_apart_point(A39_1304_9, L40_1304_9), ~left_apart_point(A39_1304_9, reverse_line(L40_1304_9))
% 293.42/42.91
% 293.42/42.91 [19147] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.91 -> [19371] ~(left_convergent_lines(L41_173_10, M42_173_10) | left_convergent_lines(L41_173_10, reverse_line(M42_173_10)))
% 293.42/42.91
% 293.42/42.91 [19371] ALPHA_NOT_OR : ~(left_convergent_lines(L41_173_10, M42_173_10) | left_convergent_lines(L41_173_10, reverse_line(M42_173_10)))
% 293.42/42.91 -> [19373] ~left_convergent_lines(L41_173_10, M42_173_10), ~left_convergent_lines(L41_173_10, reverse_line(M42_173_10))
% 293.42/42.91
% 293.42/42.91 [19373] CLOSURE : ~left_convergent_lines(L41_173_10, M42_173_10)
% 293.42/42.91
% 293.42/42.91 [18896] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [19135] ~(left_apart_point(A39_1300_9, L40_1300_9) | left_apart_point(A39_1300_9, reverse_line(L40_1300_9)))
% 293.42/42.91
% 293.42/42.91 [19135] ALPHA_NOT_OR : ~(left_apart_point(A39_1300_9, L40_1300_9) | left_apart_point(A39_1300_9, reverse_line(L40_1300_9)))
% 293.42/42.91 -> [19138] ~left_apart_point(A39_1300_9, L40_1300_9), ~left_apart_point(A39_1300_9, reverse_line(L40_1300_9))
% 293.42/42.91
% 293.42/42.91 [19138] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.91 -> [19376] ~(left_convergent_lines(L41_174_10, M42_174_10) | left_convergent_lines(L41_174_10, reverse_line(M42_174_10)))
% 293.42/42.91
% 293.42/42.91 [19376] ALPHA_NOT_OR : ~(left_convergent_lines(L41_174_10, M42_174_10) | left_convergent_lines(L41_174_10, reverse_line(M42_174_10)))
% 293.42/42.91 -> [19379] ~left_convergent_lines(L41_174_10, M42_174_10), ~left_convergent_lines(L41_174_10, reverse_line(M42_174_10))
% 293.42/42.91
% 293.42/42.91 [19379] CLOSURE : ~left_convergent_lines(L41_174_10, M42_174_10)
% 293.42/42.91
% 293.42/42.91 [18338] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_208_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_208_6)))
% 293.42/42.91 -> [18343] unequally_directed_lines(skolem_N7979, N34_208_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_208_6))
% 293.42/42.91
% 293.42/42.91 [18343] 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)))))
% 293.42/42.91 -> [18524] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.91
% 293.42/42.91 [18524] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.91 -> [18529] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.91 -> [18530] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.91
% 293.42/42.91 [18529] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.91 -> [18598] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91 -> [18599] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91
% 293.42/42.91 [18598] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [18803] ((unequally_directed_lines(skolem_N7979, M38_664_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_664_8))) => (left_convergent_lines(skolem_N7979, M38_664_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_664_8))))
% 293.42/42.91
% 293.42/42.91 [18803] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_664_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_664_8))) => (left_convergent_lines(skolem_N7979, M38_664_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_664_8))))
% 293.42/42.91 -> [18804] ~(unequally_directed_lines(skolem_N7979, M38_664_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_664_8)))
% 293.42/42.91 -> [18805] (left_convergent_lines(skolem_N7979, M38_664_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_664_8)))
% 293.42/42.91
% 293.42/42.91 [18804] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_664_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_664_8)))
% 293.42/42.91 -> [18856] ~unequally_directed_lines(skolem_N7979, M38_664_8)
% 293.42/42.91 -> [18857] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_664_8))
% 293.42/42.91
% 293.42/42.91 [18856] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_664_8)
% 293.42/42.91
% 293.42/42.91 [18857] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_664_8))
% 293.42/42.91
% 293.42/42.91 [18805] BETA_OR : (left_convergent_lines(skolem_N7979, M38_664_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_664_8)))
% 293.42/42.91 -> [18806] left_convergent_lines(skolem_N7979, M38_664_8)
% 293.42/42.91 -> [18807] left_convergent_lines(skolem_N7979, reverse_line(M38_664_8))
% 293.42/42.91
% 293.42/42.91 [18807] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [19045] ~(left_apart_point(A39_1288_9, L40_1288_9) | left_apart_point(A39_1288_9, reverse_line(L40_1288_9)))
% 293.42/42.91
% 293.42/42.91 [19045] ALPHA_NOT_OR : ~(left_apart_point(A39_1288_9, L40_1288_9) | left_apart_point(A39_1288_9, reverse_line(L40_1288_9)))
% 293.42/42.91 -> [19051] ~left_apart_point(A39_1288_9, L40_1288_9), ~left_apart_point(A39_1288_9, reverse_line(L40_1288_9))
% 293.42/42.91
% 293.42/42.91 [19051] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.91 -> [19238] ~(left_convergent_lines(L41_165_10, M42_165_10) | left_convergent_lines(L41_165_10, reverse_line(M42_165_10)))
% 293.42/42.91
% 293.42/42.91 [19238] ALPHA_NOT_OR : ~(left_convergent_lines(L41_165_10, M42_165_10) | left_convergent_lines(L41_165_10, reverse_line(M42_165_10)))
% 293.42/42.91 -> [19241] ~left_convergent_lines(L41_165_10, M42_165_10), ~left_convergent_lines(L41_165_10, reverse_line(M42_165_10))
% 293.42/42.91
% 293.42/42.91 [19241] CLOSURE : ~left_convergent_lines(L41_165_10, M42_165_10)
% 293.42/42.91
% 293.42/42.91 [18806] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [19109] ~(left_apart_point(A39_1295_9, L40_1295_9) | left_apart_point(A39_1295_9, reverse_line(L40_1295_9)))
% 293.42/42.91
% 293.42/42.91 [19109] ALPHA_NOT_OR : ~(left_apart_point(A39_1295_9, L40_1295_9) | left_apart_point(A39_1295_9, reverse_line(L40_1295_9)))
% 293.42/42.91 -> [19112] ~left_apart_point(A39_1295_9, L40_1295_9), ~left_apart_point(A39_1295_9, reverse_line(L40_1295_9))
% 293.42/42.91
% 293.42/42.91 [19112] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.91 -> [19322] ~(left_convergent_lines(L41_170_10, M42_170_10) | left_convergent_lines(L41_170_10, reverse_line(M42_170_10)))
% 293.42/42.91
% 293.42/42.91 [19322] ALPHA_NOT_OR : ~(left_convergent_lines(L41_170_10, M42_170_10) | left_convergent_lines(L41_170_10, reverse_line(M42_170_10)))
% 293.42/42.91 -> [19529] ~left_convergent_lines(L41_170_10, M42_170_10), ~left_convergent_lines(L41_170_10, reverse_line(M42_170_10))
% 293.42/42.91
% 293.42/42.91 [19529] CLOSURE : ~left_convergent_lines(L41_170_10, M42_170_10)
% 293.42/42.91
% 293.42/42.91 [18599] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [18744] ((unequally_directed_lines(skolem_N7979, M38_659_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_659_8))) => (left_convergent_lines(skolem_N7979, M38_659_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_659_8))))
% 293.42/42.91
% 293.42/42.91 [18744] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_659_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_659_8))) => (left_convergent_lines(skolem_N7979, M38_659_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_659_8))))
% 293.42/42.91 -> [18746] ~(unequally_directed_lines(skolem_N7979, M38_659_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_659_8)))
% 293.42/42.91 -> [18747] (left_convergent_lines(skolem_N7979, M38_659_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_659_8)))
% 293.42/42.91
% 293.42/42.91 [18746] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_659_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_659_8)))
% 293.42/42.91 -> [18810] ~unequally_directed_lines(skolem_N7979, M38_659_8)
% 293.42/42.91 -> [18811] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_659_8))
% 293.42/42.91
% 293.42/42.91 [18811] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_659_8))
% 293.42/42.91
% 293.42/42.91 [18810] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_659_8)
% 293.42/42.91
% 293.42/42.91 [18747] BETA_OR : (left_convergent_lines(skolem_N7979, M38_659_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_659_8)))
% 293.42/42.91 -> [18748] left_convergent_lines(skolem_N7979, M38_659_8)
% 293.42/42.91 -> [18749] left_convergent_lines(skolem_N7979, reverse_line(M38_659_8))
% 293.42/42.91
% 293.42/42.91 [18749] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [18972] ~(left_apart_point(A39_1282_9, L40_1282_9) | left_apart_point(A39_1282_9, reverse_line(L40_1282_9)))
% 293.42/42.91
% 293.42/42.91 [18972] ALPHA_NOT_OR : ~(left_apart_point(A39_1282_9, L40_1282_9) | left_apart_point(A39_1282_9, reverse_line(L40_1282_9)))
% 293.42/42.91 -> [18975] ~left_apart_point(A39_1282_9, L40_1282_9), ~left_apart_point(A39_1282_9, reverse_line(L40_1282_9))
% 293.42/42.91
% 293.42/42.91 [18975] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.91 -> [19263] ~(left_convergent_lines(L41_166_10, M42_166_10) | left_convergent_lines(L41_166_10, reverse_line(M42_166_10)))
% 293.42/42.91
% 293.42/42.91 [19263] ALPHA_NOT_OR : ~(left_convergent_lines(L41_166_10, M42_166_10) | left_convergent_lines(L41_166_10, reverse_line(M42_166_10)))
% 293.42/42.91 -> [19264] ~left_convergent_lines(L41_166_10, M42_166_10), ~left_convergent_lines(L41_166_10, reverse_line(M42_166_10))
% 293.42/42.91
% 293.42/42.91 [19264] CLOSURE : ~left_convergent_lines(L41_166_10, M42_166_10)
% 293.42/42.91
% 293.42/42.91 [18748] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [19119] ~(left_apart_point(A39_1296_9, L40_1296_9) | left_apart_point(A39_1296_9, reverse_line(L40_1296_9)))
% 293.42/42.91
% 293.42/42.91 [19119] ALPHA_NOT_OR : ~(left_apart_point(A39_1296_9, L40_1296_9) | left_apart_point(A39_1296_9, reverse_line(L40_1296_9)))
% 293.42/42.91 -> [19122] ~left_apart_point(A39_1296_9, L40_1296_9), ~left_apart_point(A39_1296_9, reverse_line(L40_1296_9))
% 293.42/42.91
% 293.42/42.91 [19122] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.91 -> [19651] ~(left_convergent_lines(L41_179_10, M42_179_10) | left_convergent_lines(L41_179_10, reverse_line(M42_179_10)))
% 293.42/42.91
% 293.42/42.91 [19651] ALPHA_NOT_OR : ~(left_convergent_lines(L41_179_10, M42_179_10) | left_convergent_lines(L41_179_10, reverse_line(M42_179_10)))
% 293.42/42.91 -> [19654] ~left_convergent_lines(L41_179_10, M42_179_10), ~left_convergent_lines(L41_179_10, reverse_line(M42_179_10))
% 293.42/42.91
% 293.42/42.91 [19654] CLOSURE : ~left_convergent_lines(L41_179_10, M42_179_10)
% 293.42/42.91
% 293.42/42.91 [18530] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.91 -> [18536] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91 -> [18537] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.91
% 293.42/42.91 [18536] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91
% 293.42/42.91 [18537] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [18814] ((unequally_directed_lines(skolem_N7979, M38_665_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_665_8))) => (left_convergent_lines(skolem_N7979, M38_665_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_665_8))))
% 293.42/42.91
% 293.42/42.91 [18814] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_665_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_665_8))) => (left_convergent_lines(skolem_N7979, M38_665_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_665_8))))
% 293.42/42.91 -> [18818] ~(unequally_directed_lines(skolem_N7979, M38_665_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_665_8)))
% 293.42/42.91 -> [18819] (left_convergent_lines(skolem_N7979, M38_665_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_665_8)))
% 293.42/42.91
% 293.42/42.91 [18818] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_665_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_665_8)))
% 293.42/42.91 -> [18872] ~unequally_directed_lines(skolem_N7979, M38_665_8)
% 293.42/42.91 -> [18873] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_665_8))
% 293.42/42.91
% 293.42/42.91 [18873] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_665_8))
% 293.42/42.91
% 293.42/42.91 [18872] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_665_8)
% 293.42/42.91
% 293.42/42.91 [18819] BETA_OR : (left_convergent_lines(skolem_N7979, M38_665_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_665_8)))
% 293.42/42.91 -> [18826] left_convergent_lines(skolem_N7979, M38_665_8)
% 293.42/42.91 -> [18827] left_convergent_lines(skolem_N7979, reverse_line(M38_665_8))
% 293.42/42.91
% 293.42/42.91 [18826] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [19128] ~(left_apart_point(A39_1298_9, L40_1298_9) | left_apart_point(A39_1298_9, reverse_line(L40_1298_9)))
% 293.42/42.91
% 293.42/42.91 [19128] ALPHA_NOT_OR : ~(left_apart_point(A39_1298_9, L40_1298_9) | left_apart_point(A39_1298_9, reverse_line(L40_1298_9)))
% 293.42/42.91 -> [19130] ~left_apart_point(A39_1298_9, L40_1298_9), ~left_apart_point(A39_1298_9, reverse_line(L40_1298_9))
% 293.42/42.91
% 293.42/42.91 [19130] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.91 -> [19326] ~(left_convergent_lines(L41_171_10, M42_171_10) | left_convergent_lines(L41_171_10, reverse_line(M42_171_10)))
% 293.42/42.91
% 293.42/42.91 [19326] ALPHA_NOT_OR : ~(left_convergent_lines(L41_171_10, M42_171_10) | left_convergent_lines(L41_171_10, reverse_line(M42_171_10)))
% 293.42/42.91 -> [19328] ~left_convergent_lines(L41_171_10, M42_171_10), ~left_convergent_lines(L41_171_10, reverse_line(M42_171_10))
% 293.42/42.91
% 293.42/42.91 [19328] CLOSURE : ~left_convergent_lines(L41_171_10, M42_171_10)
% 293.42/42.91
% 293.42/42.91 [18827] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [19072] ~(left_apart_point(A39_1291_9, L40_1291_9) | left_apart_point(A39_1291_9, reverse_line(L40_1291_9)))
% 293.42/42.91
% 293.42/42.91 [19072] ALPHA_NOT_OR : ~(left_apart_point(A39_1291_9, L40_1291_9) | left_apart_point(A39_1291_9, reverse_line(L40_1291_9)))
% 293.42/42.91 -> [19073] ~left_apart_point(A39_1291_9, L40_1291_9), ~left_apart_point(A39_1291_9, reverse_line(L40_1291_9))
% 293.42/42.91
% 293.42/42.91 [19073] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.91 -> [20249] ~(left_convergent_lines(L41_188_10, M42_188_10) | left_convergent_lines(L41_188_10, reverse_line(M42_188_10)))
% 293.42/42.91
% 293.42/42.91 [20249] ALPHA_NOT_OR : ~(left_convergent_lines(L41_188_10, M42_188_10) | left_convergent_lines(L41_188_10, reverse_line(M42_188_10)))
% 293.42/42.91 -> [20250] ~left_convergent_lines(L41_188_10, M42_188_10), ~left_convergent_lines(L41_188_10, reverse_line(M42_188_10))
% 293.42/42.91
% 293.42/42.91 [20250] CLOSURE : ~left_convergent_lines(L41_188_10, M42_188_10)
% 293.42/42.91
% 293.42/42.91 [575] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.91 -> [583] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.91
% 293.42/42.91 [583] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.91 -> [589] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.42/42.91 -> [590] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [589] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.91 -> [1117] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.91
% 293.42/42.91 [1117] 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))))
% 293.42/42.91 -> [1500] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.91
% 293.42/42.91 [1500] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.91 -> [1501] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.91 -> [1502] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.91
% 293.42/42.91 [1501] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.91
% 293.42/42.91 [1502] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.91 -> [5624] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.91 -> [5625] distinct_points(skolem_A8080, skolem_B8181)
% 293.42/42.91
% 293.42/42.91 [5624] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.91
% 293.42/42.91 [5625] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.91 -> [8018] ~distinct_lines(N27_253_3, N27_253_3)
% 293.42/42.91
% 293.42/42.91 [8018] 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))))
% 293.42/42.91 -> [8073] (distinct_lines(N27_253_3, N27_253_3) => (distinct_lines(N27_253_3, N27_253_3) | distinct_lines(N27_253_3, N27_253_3)))
% 293.42/42.91
% 293.42/42.91 [8073] BETA_IMPLY : (distinct_lines(N27_253_3, N27_253_3) => (distinct_lines(N27_253_3, N27_253_3) | distinct_lines(N27_253_3, N27_253_3)))
% 293.42/42.91 -> [8074] ~distinct_lines(N27_253_3, N27_253_3)
% 293.42/42.91 -> [8075] (distinct_lines(N27_253_3, N27_253_3) | distinct_lines(N27_253_3, N27_253_3))
% 293.42/42.91
% 293.42/42.91 [8075] BETA_OR : (distinct_lines(N27_253_3, N27_253_3) | distinct_lines(N27_253_3, N27_253_3))
% 293.42/42.91 -> [8079] distinct_lines(N27_253_3, N27_253_3)
% 293.42/42.91 -> [8080] distinct_lines(N27_253_3, N27_253_3)
% 293.42/42.91
% 293.42/42.91 [8080] CLOSURE : distinct_lines(N27_253_3, N27_253_3)
% 293.42/42.91
% 293.42/42.91 [8079] CLOSURE : distinct_lines(N27_253_3, N27_253_3)
% 293.42/42.91
% 293.42/42.91 [8074] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.91 -> [8099] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [8099] 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))))
% 293.42/42.91 -> [8110] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878)))
% 293.42/42.91
% 293.42/42.91 [8110] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878)))
% 293.42/42.91 -> [8111] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91 -> [8112] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [8111] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91
% 293.42/42.91 [8112] 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)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878))
% 293.42/42.91 -> [8566] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.91 -> [8567] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [8566] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [8567] 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))))))
% 293.42/42.91 -> [9269] ((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)))))
% 293.42/42.91
% 293.42/42.91 [9269] 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)))))
% 293.42/42.91 -> [9270] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.91 -> [9271] ((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))))
% 293.42/42.91
% 293.42/42.91 [9270] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.91 -> [9310] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.91 -> [9311] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [9310] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.91
% 293.42/42.91 [9311] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [9271] 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))))
% 293.42/42.91 -> [18973] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [18974] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.91
% 293.42/42.91 [18973] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [19037] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [19037] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [18974] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [18978] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [18978] 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)))))
% 293.42/42.91 -> [19239] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.91
% 293.42/42.91 [19239] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.91 -> [19242] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.91 -> [19243] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.91
% 293.42/42.91 [19243] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [19246] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.91 -> [19247] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [19246] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [19247] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [19639] ((unequally_directed_lines(skolem_N7979, M38_719_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_719_8))) => (left_convergent_lines(skolem_N7979, M38_719_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_719_8))))
% 293.42/42.91
% 293.42/42.91 [19639] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_719_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_719_8))) => (left_convergent_lines(skolem_N7979, M38_719_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_719_8))))
% 293.42/42.91 -> [19641] ~(unequally_directed_lines(skolem_N7979, M38_719_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_719_8)))
% 293.42/42.91 -> [19642] (left_convergent_lines(skolem_N7979, M38_719_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_719_8)))
% 293.42/42.91
% 293.42/42.91 [19641] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_719_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_719_8)))
% 293.42/42.91 -> [19722] ~unequally_directed_lines(skolem_N7979, M38_719_8)
% 293.42/42.91 -> [19723] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_719_8))
% 293.42/42.91
% 293.42/42.91 [19723] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_719_8))
% 293.42/42.91
% 293.42/42.91 [19722] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_719_8)
% 293.42/42.91
% 293.42/42.91 [19642] BETA_OR : (left_convergent_lines(skolem_N7979, M38_719_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_719_8)))
% 293.42/42.91 -> [19646] left_convergent_lines(skolem_N7979, M38_719_8)
% 293.42/42.91 -> [19647] left_convergent_lines(skolem_N7979, reverse_line(M38_719_8))
% 293.42/42.91
% 293.42/42.91 [19646] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [19955] ~(left_apart_point(A39_1410_9, L40_1410_9) | left_apart_point(A39_1410_9, reverse_line(L40_1410_9)))
% 293.42/42.91
% 293.42/42.91 [19955] ALPHA_NOT_OR : ~(left_apart_point(A39_1410_9, L40_1410_9) | left_apart_point(A39_1410_9, reverse_line(L40_1410_9)))
% 293.42/42.91 -> [19960] ~left_apart_point(A39_1410_9, L40_1410_9), ~left_apart_point(A39_1410_9, reverse_line(L40_1410_9))
% 293.42/42.91
% 293.42/42.91 [19960] CLOSURE : ~left_apart_point(A39_1410_9, L40_1410_9)
% 293.42/42.91
% 293.42/42.91 [19647] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [20639] ~(left_apart_point(A39_1508_9, L40_1508_9) | left_apart_point(A39_1508_9, reverse_line(L40_1508_9)))
% 293.42/42.91
% 293.42/42.91 [20639] ALPHA_NOT_OR : ~(left_apart_point(A39_1508_9, L40_1508_9) | left_apart_point(A39_1508_9, reverse_line(L40_1508_9)))
% 293.42/42.91 -> [20641] ~left_apart_point(A39_1508_9, L40_1508_9), ~left_apart_point(A39_1508_9, reverse_line(L40_1508_9))
% 293.42/42.91
% 293.42/42.91 [20641] CLOSURE : ~left_apart_point(A39_1508_9, L40_1508_9)
% 293.42/42.91
% 293.42/42.91 [19242] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.91 -> [19304] ~line(skolem_M7878)
% 293.42/42.91 -> [19305] ~line(skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [19305] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [19608] ((unequally_directed_lines(skolem_N7979, M38_716_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_716_8))) => (left_convergent_lines(skolem_N7979, M38_716_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_716_8))))
% 293.42/42.91
% 293.42/42.91 [19608] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_716_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_716_8))) => (left_convergent_lines(skolem_N7979, M38_716_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_716_8))))
% 293.42/42.91 -> [19611] ~(unequally_directed_lines(skolem_N7979, M38_716_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_716_8)))
% 293.42/42.91 -> [19612] (left_convergent_lines(skolem_N7979, M38_716_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_716_8)))
% 293.42/42.91
% 293.42/42.91 [19611] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_716_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_716_8)))
% 293.42/42.91 -> [19706] ~unequally_directed_lines(skolem_N7979, M38_716_8)
% 293.42/42.91 -> [19707] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_716_8))
% 293.42/42.91
% 293.42/42.91 [19707] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_716_8))
% 293.42/42.91
% 293.42/42.91 [19706] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_716_8)
% 293.42/42.91
% 293.42/42.91 [19612] BETA_OR : (left_convergent_lines(skolem_N7979, M38_716_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_716_8)))
% 293.42/42.91 -> [19622] left_convergent_lines(skolem_N7979, M38_716_8)
% 293.42/42.91 -> [19623] left_convergent_lines(skolem_N7979, reverse_line(M38_716_8))
% 293.42/42.91
% 293.42/42.91 [19623] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [19865] ~(left_apart_point(A39_1395_9, L40_1395_9) | left_apart_point(A39_1395_9, reverse_line(L40_1395_9)))
% 293.42/42.91
% 293.42/42.91 [19865] ALPHA_NOT_OR : ~(left_apart_point(A39_1395_9, L40_1395_9) | left_apart_point(A39_1395_9, reverse_line(L40_1395_9)))
% 293.42/42.91 -> [19866] ~left_apart_point(A39_1395_9, L40_1395_9), ~left_apart_point(A39_1395_9, reverse_line(L40_1395_9))
% 293.42/42.91
% 293.42/42.91 [19866] CLOSURE : ~left_apart_point(A39_1395_9, L40_1395_9)
% 293.42/42.91
% 293.42/42.91 [19622] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [20000] ~(left_apart_point(A39_1421_9, L40_1421_9) | left_apart_point(A39_1421_9, reverse_line(L40_1421_9)))
% 293.42/42.91
% 293.42/42.91 [20000] ALPHA_NOT_OR : ~(left_apart_point(A39_1421_9, L40_1421_9) | left_apart_point(A39_1421_9, reverse_line(L40_1421_9)))
% 293.42/42.91 -> [20004] ~left_apart_point(A39_1421_9, L40_1421_9), ~left_apart_point(A39_1421_9, reverse_line(L40_1421_9))
% 293.42/42.91
% 293.42/42.91 [20004] CLOSURE : ~left_apart_point(A39_1421_9, L40_1421_9)
% 293.42/42.91
% 293.42/42.91 [19304] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [19688] ((unequally_directed_lines(skolem_N7979, M38_722_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_722_8))) => (left_convergent_lines(skolem_N7979, M38_722_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_722_8))))
% 293.42/42.91
% 293.42/42.91 [19688] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_722_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_722_8))) => (left_convergent_lines(skolem_N7979, M38_722_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_722_8))))
% 293.42/42.91 -> [19690] ~(unequally_directed_lines(skolem_N7979, M38_722_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_722_8)))
% 293.42/42.91 -> [19691] (left_convergent_lines(skolem_N7979, M38_722_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_722_8)))
% 293.42/42.91
% 293.42/42.91 [19690] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_722_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_722_8)))
% 293.42/42.91 -> [19745] ~unequally_directed_lines(skolem_N7979, M38_722_8)
% 293.42/42.91 -> [19746] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_722_8))
% 293.42/42.91
% 293.42/42.91 [19746] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_722_8))
% 293.42/42.91
% 293.42/42.91 [19745] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_722_8)
% 293.42/42.91
% 293.42/42.91 [19691] BETA_OR : (left_convergent_lines(skolem_N7979, M38_722_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_722_8)))
% 293.42/42.91 -> [19698] left_convergent_lines(skolem_N7979, M38_722_8)
% 293.42/42.91 -> [19699] left_convergent_lines(skolem_N7979, reverse_line(M38_722_8))
% 293.42/42.91
% 293.42/42.91 [19699] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [19996] ~(left_apart_point(A39_1419_9, L40_1419_9) | left_apart_point(A39_1419_9, reverse_line(L40_1419_9)))
% 293.42/42.91
% 293.42/42.91 [19996] ALPHA_NOT_OR : ~(left_apart_point(A39_1419_9, L40_1419_9) | left_apart_point(A39_1419_9, reverse_line(L40_1419_9)))
% 293.42/42.91 -> [19997] ~left_apart_point(A39_1419_9, L40_1419_9), ~left_apart_point(A39_1419_9, reverse_line(L40_1419_9))
% 293.42/42.91
% 293.42/42.91 [19997] CLOSURE : ~left_apart_point(A39_1419_9, L40_1419_9)
% 293.42/42.91
% 293.42/42.91 [19698] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [21713] ~(left_apart_point(A39_1628_9, L40_1628_9) | left_apart_point(A39_1628_9, reverse_line(L40_1628_9)))
% 293.42/42.91
% 293.42/42.91 [21713] ALPHA_NOT_OR : ~(left_apart_point(A39_1628_9, L40_1628_9) | left_apart_point(A39_1628_9, reverse_line(L40_1628_9)))
% 293.42/42.91 -> [21714] ~left_apart_point(A39_1628_9, L40_1628_9), ~left_apart_point(A39_1628_9, reverse_line(L40_1628_9))
% 293.42/42.91
% 293.42/42.91 [21714] CLOSURE : ~left_apart_point(A39_1628_9, L40_1628_9)
% 293.42/42.91
% 293.42/42.91 [590] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.91 -> [983] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.91
% 293.42/42.91 [983] 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))))
% 293.42/42.91 -> [1296] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.91
% 293.42/42.91 [1296] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.91 -> [1297] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.91 -> [1298] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.91
% 293.42/42.91 [1297] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.91
% 293.42/42.91 [1298] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.91 -> [4632] distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.91 -> [4633] distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.91
% 293.42/42.91 [4633] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.91
% 293.42/42.91 [4632] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.91 -> [5274] ~distinct_lines(N27_151_3, N27_151_3)
% 293.42/42.91
% 293.42/42.91 [5274] 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))))
% 293.42/42.91 -> [5417] (distinct_lines(N27_151_3, N27_151_3) => (distinct_lines(N27_151_3, N27_151_3) | distinct_lines(N27_151_3, N27_151_3)))
% 293.42/42.91
% 293.42/42.91 [5417] BETA_IMPLY : (distinct_lines(N27_151_3, N27_151_3) => (distinct_lines(N27_151_3, N27_151_3) | distinct_lines(N27_151_3, N27_151_3)))
% 293.42/42.91 -> [5418] ~distinct_lines(N27_151_3, N27_151_3)
% 293.42/42.91 -> [5419] (distinct_lines(N27_151_3, N27_151_3) | distinct_lines(N27_151_3, N27_151_3))
% 293.42/42.91
% 293.42/42.91 [5419] BETA_OR : (distinct_lines(N27_151_3, N27_151_3) | distinct_lines(N27_151_3, N27_151_3))
% 293.42/42.91 -> [5423] distinct_lines(N27_151_3, N27_151_3)
% 293.42/42.91 -> [5424] distinct_lines(N27_151_3, N27_151_3)
% 293.42/42.91
% 293.42/42.91 [5423] CLOSURE : distinct_lines(N27_151_3, N27_151_3)
% 293.42/42.91
% 293.42/42.91 [5424] CLOSURE : distinct_lines(N27_151_3, N27_151_3)
% 293.42/42.91
% 293.42/42.91 [5418] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.91 -> [5563] ~unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91
% 293.42/42.91 [5563] 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))))
% 293.42/42.91 -> [5701] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.91
% 293.42/42.91 [5701] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.91 -> [5702] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91 -> [5703] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.91
% 293.42/42.91 [5702] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91
% 293.42/42.91 [5703] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.91 -> [9849] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91 -> [9850] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91
% 293.42/42.91 [9850] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91
% 293.42/42.91 [9849] 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))))))
% 293.42/42.91 -> [11805] ((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))))))
% 293.42/42.91
% 293.42/42.91 [11805] 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))))))
% 293.42/42.91 -> [11812] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [11813] ((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)))))
% 293.42/42.91
% 293.42/42.91 [11812] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [11907] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91 -> [11908] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [11907] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [11908] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [11813] 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)))))
% 293.42/42.91 -> [25007] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))
% 293.42/42.91 -> [25008] (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))
% 293.42/42.91
% 293.42/42.91 [25007] 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))))
% 293.42/42.91 -> [25978] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)), unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.91
% 293.42/42.91 [25978] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.91
% 293.42/42.91 [25008] 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))))
% 293.42/42.91 -> [25013] unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080)), unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.91
% 293.42/42.91 [25013] 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)))))
% 293.42/42.91 -> [25786] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.91
% 293.42/42.91 [25786] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.91 -> [25788] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.91 -> [25789] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.91
% 293.42/42.91 [25788] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.91 -> [25801] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91 -> [25802] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91
% 293.42/42.91 [25801] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [25871] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.91
% 293.42/42.91 [25871] 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))))
% 293.42/42.91 -> [25872] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [25873] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91
% 293.42/42.91 [25872] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [25879] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91 -> [25880] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [25880] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [25879] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [25873] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [25874] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91 -> [25875] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [25874] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [25917] ~(left_apart_point(A39_2250_9, L40_2250_9) | left_apart_point(A39_2250_9, reverse_line(L40_2250_9)))
% 293.42/42.91
% 293.42/42.91 [25917] ALPHA_NOT_OR : ~(left_apart_point(A39_2250_9, L40_2250_9) | left_apart_point(A39_2250_9, reverse_line(L40_2250_9)))
% 293.42/42.91 -> [25920] ~left_apart_point(A39_2250_9, L40_2250_9), ~left_apart_point(A39_2250_9, reverse_line(L40_2250_9))
% 293.42/42.91
% 293.42/42.91 [25920] CLOSURE : ~left_apart_point(A39_2250_9, L40_2250_9)
% 293.42/42.91
% 293.42/42.91 [25875] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [26062] ~(left_apart_point(A39_2280_9, L40_2280_9) | left_apart_point(A39_2280_9, reverse_line(L40_2280_9)))
% 293.42/42.91
% 293.42/42.91 [26062] ALPHA_NOT_OR : ~(left_apart_point(A39_2280_9, L40_2280_9) | left_apart_point(A39_2280_9, reverse_line(L40_2280_9)))
% 293.42/42.91 -> [26065] ~left_apart_point(A39_2280_9, L40_2280_9), ~left_apart_point(A39_2280_9, reverse_line(L40_2280_9))
% 293.42/42.91
% 293.42/42.91 [26065] CLOSURE : ~left_apart_point(A39_2280_9, L40_2280_9)
% 293.42/42.91
% 293.42/42.91 [25802] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [25864] ((unequally_directed_lines(skolem_M7878, M38_1133_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1133_8))) => (left_convergent_lines(skolem_M7878, M38_1133_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1133_8))))
% 293.42/42.91
% 293.42/42.91 [25864] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_1133_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1133_8))) => (left_convergent_lines(skolem_M7878, M38_1133_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1133_8))))
% 293.42/42.91 -> [25865] ~(unequally_directed_lines(skolem_M7878, M38_1133_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1133_8)))
% 293.42/42.91 -> [25866] (left_convergent_lines(skolem_M7878, M38_1133_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1133_8)))
% 293.42/42.91
% 293.42/42.91 [25866] BETA_OR : (left_convergent_lines(skolem_M7878, M38_1133_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1133_8)))
% 293.42/42.91 -> [25868] left_convergent_lines(skolem_M7878, M38_1133_8)
% 293.42/42.91 -> [25869] left_convergent_lines(skolem_M7878, reverse_line(M38_1133_8))
% 293.42/42.91
% 293.42/42.91 [25869] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [25884] ~(left_apart_point(A39_2244_9, L40_2244_9) | left_apart_point(A39_2244_9, reverse_line(L40_2244_9)))
% 293.42/42.91
% 293.42/42.91 [25884] ALPHA_NOT_OR : ~(left_apart_point(A39_2244_9, L40_2244_9) | left_apart_point(A39_2244_9, reverse_line(L40_2244_9)))
% 293.42/42.91 -> [25889] ~left_apart_point(A39_2244_9, L40_2244_9), ~left_apart_point(A39_2244_9, reverse_line(L40_2244_9))
% 293.42/42.91
% 293.42/42.91 [25889] CLOSURE : ~left_apart_point(A39_2244_9, L40_2244_9)
% 293.42/42.91
% 293.42/42.91 [25868] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [25892] ~(left_apart_point(A39_2245_9, L40_2245_9) | left_apart_point(A39_2245_9, reverse_line(L40_2245_9)))
% 293.42/42.91
% 293.42/42.91 [25892] ALPHA_NOT_OR : ~(left_apart_point(A39_2245_9, L40_2245_9) | left_apart_point(A39_2245_9, reverse_line(L40_2245_9)))
% 293.42/42.91 -> [25894] ~left_apart_point(A39_2245_9, L40_2245_9), ~left_apart_point(A39_2245_9, reverse_line(L40_2245_9))
% 293.42/42.91
% 293.42/42.91 [25894] CLOSURE : ~left_apart_point(A39_2245_9, L40_2245_9)
% 293.42/42.91
% 293.42/42.91 [25865] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_1133_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1133_8)))
% 293.42/42.91 -> [25876] ~unequally_directed_lines(skolem_M7878, M38_1133_8)
% 293.42/42.91 -> [25877] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_1133_8))
% 293.42/42.91
% 293.42/42.91 [25877] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_1133_8))
% 293.42/42.91
% 293.42/42.91 [25876] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_1133_8)
% 293.42/42.91
% 293.42/42.91 [25789] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.91 -> [25791] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91 -> [25792] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.91
% 293.42/42.91 [25791] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91
% 293.42/42.91 [25792] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [25878] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.91
% 293.42/42.91 [25878] 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))))
% 293.42/42.91 -> [25881] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [25882] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91
% 293.42/42.91 [25882] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [25887] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91 -> [25888] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [25888] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [26006] ~(left_apart_point(A39_2269_9, L40_2269_9) | left_apart_point(A39_2269_9, reverse_line(L40_2269_9)))
% 293.42/42.91
% 293.42/42.91 [26006] ALPHA_NOT_OR : ~(left_apart_point(A39_2269_9, L40_2269_9) | left_apart_point(A39_2269_9, reverse_line(L40_2269_9)))
% 293.42/42.91 -> [26007] ~left_apart_point(A39_2269_9, L40_2269_9), ~left_apart_point(A39_2269_9, reverse_line(L40_2269_9))
% 293.42/42.91
% 293.42/42.91 [26007] CLOSURE : ~left_apart_point(A39_2269_9, L40_2269_9)
% 293.42/42.91
% 293.42/42.91 [25887] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [26057] ~(left_apart_point(A39_2278_9, L40_2278_9) | left_apart_point(A39_2278_9, reverse_line(L40_2278_9)))
% 293.42/42.91
% 293.42/42.91 [26057] ALPHA_NOT_OR : ~(left_apart_point(A39_2278_9, L40_2278_9) | left_apart_point(A39_2278_9, reverse_line(L40_2278_9)))
% 293.42/42.91 -> [26060] ~left_apart_point(A39_2278_9, L40_2278_9), ~left_apart_point(A39_2278_9, reverse_line(L40_2278_9))
% 293.42/42.91
% 293.42/42.91 [26060] CLOSURE : ~left_apart_point(A39_2278_9, L40_2278_9)
% 293.42/42.91
% 293.42/42.91 [25881] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [25895] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91 -> [25896] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [25895] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [25896] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [145] BETA_NOT_AND : ~(((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))) & ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.91 -> [182] ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.42/42.91 -> [183] ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91
% 293.42/42.91 [183] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91 -> [205] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91
% 293.42/42.91 [205] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.42/42.91 -> [2091] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.91 -> [2092] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.91
% 293.42/42.91 [2092] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.91 -> [2099] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.91
% 293.42/42.91 [2099] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.91 -> [2102] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.42/42.91 -> [2103] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [2102] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.91 -> [2157] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.91
% 293.42/42.91 [2157] 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))))
% 293.42/42.91 -> [2250] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.91
% 293.42/42.91 [2250] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.91 -> [2314] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.91 -> [2315] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.91
% 293.42/42.91 [2314] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.91
% 293.42/42.91 [2315] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.91 -> [2435] distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.91 -> [2436] distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.91
% 293.42/42.91 [2436] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.91
% 293.42/42.91 [2435] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.91 -> [2773] ~distinct_lines(N27_31_3, N27_31_3)
% 293.42/42.91
% 293.42/42.91 [2773] 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))))
% 293.42/42.91 -> [2789] (distinct_lines(N27_31_3, N27_31_3) => (distinct_lines(N27_31_3, N27_31_3) | distinct_lines(N27_31_3, N27_31_3)))
% 293.42/42.91
% 293.42/42.91 [2789] 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)))
% 293.42/42.91 -> [2792] ~distinct_lines(N27_31_3, N27_31_3)
% 293.42/42.91 -> [2793] (distinct_lines(N27_31_3, N27_31_3) | distinct_lines(N27_31_3, N27_31_3))
% 293.42/42.91
% 293.42/42.91 [2793] BETA_OR : (distinct_lines(N27_31_3, N27_31_3) | distinct_lines(N27_31_3, N27_31_3))
% 293.42/42.91 -> [2794] distinct_lines(N27_31_3, N27_31_3)
% 293.42/42.91 -> [2795] distinct_lines(N27_31_3, N27_31_3)
% 293.42/42.91
% 293.42/42.91 [2794] CLOSURE : distinct_lines(N27_31_3, N27_31_3)
% 293.42/42.91
% 293.42/42.91 [2795] CLOSURE : distinct_lines(N27_31_3, N27_31_3)
% 293.42/42.91
% 293.42/42.91 [2792] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.91 -> [2827] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [2827] 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))))
% 293.42/42.91 -> [2853] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878)))
% 293.42/42.91
% 293.42/42.91 [2853] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878)))
% 293.42/42.91 -> [2854] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91 -> [2855] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [2854] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91
% 293.42/42.91 [2855] 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)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878))
% 293.42/42.91 -> [3365] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.91 -> [3366] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [3365] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [3366] 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))))))
% 293.42/42.91 -> [5808] ((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)))))
% 293.42/42.91
% 293.42/42.91 [5808] 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)))))
% 293.42/42.91 -> [5810] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.91 -> [5811] ((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))))
% 293.42/42.91
% 293.42/42.91 [5810] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.91 -> [5859] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.91 -> [5860] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [5860] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [5859] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.91
% 293.42/42.91 [5811] 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))))
% 293.42/42.91 -> [18626] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [18627] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.91
% 293.42/42.91 [18626] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [18664] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [18664] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [18627] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [18630] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [18630] 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)))))
% 293.42/42.91 -> [18792] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.91
% 293.42/42.91 [18792] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.91 -> [18797] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.91 -> [18798] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.91
% 293.42/42.91 [18798] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [18801] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.91 -> [18802] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [18801] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [18802] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [18920] ((unequally_directed_lines(skolem_N7979, M38_668_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_668_8))) => (left_convergent_lines(skolem_N7979, M38_668_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_668_8))))
% 293.42/42.91
% 293.42/42.91 [18920] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_668_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_668_8))) => (left_convergent_lines(skolem_N7979, M38_668_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_668_8))))
% 293.42/42.91 -> [18922] ~(unequally_directed_lines(skolem_N7979, M38_668_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_668_8)))
% 293.42/42.91 -> [18923] (left_convergent_lines(skolem_N7979, M38_668_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_668_8)))
% 293.42/42.91
% 293.42/42.91 [18923] BETA_OR : (left_convergent_lines(skolem_N7979, M38_668_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_668_8)))
% 293.42/42.91 -> [18931] left_convergent_lines(skolem_N7979, M38_668_8)
% 293.42/42.91 -> [18932] left_convergent_lines(skolem_N7979, reverse_line(M38_668_8))
% 293.42/42.91
% 293.42/42.91 [18932] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [19186] ~(left_apart_point(A39_1308_9, L40_1308_9) | left_apart_point(A39_1308_9, reverse_line(L40_1308_9)))
% 293.42/42.91
% 293.42/42.91 [19186] ALPHA_NOT_OR : ~(left_apart_point(A39_1308_9, L40_1308_9) | left_apart_point(A39_1308_9, reverse_line(L40_1308_9)))
% 293.42/42.91 -> [19187] ~left_apart_point(A39_1308_9, L40_1308_9), ~left_apart_point(A39_1308_9, reverse_line(L40_1308_9))
% 293.42/42.91
% 293.42/42.91 [19187] CLOSURE : ~left_apart_point(A39_1308_9, L40_1308_9)
% 293.42/42.91
% 293.42/42.91 [18931] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [19222] ~(left_apart_point(A39_1314_9, L40_1314_9) | left_apart_point(A39_1314_9, reverse_line(L40_1314_9)))
% 293.42/42.91
% 293.42/42.91 [19222] ALPHA_NOT_OR : ~(left_apart_point(A39_1314_9, L40_1314_9) | left_apart_point(A39_1314_9, reverse_line(L40_1314_9)))
% 293.42/42.91 -> [19224] ~left_apart_point(A39_1314_9, L40_1314_9), ~left_apart_point(A39_1314_9, reverse_line(L40_1314_9))
% 293.42/42.91
% 293.42/42.91 [19224] CLOSURE : ~left_apart_point(A39_1314_9, L40_1314_9)
% 293.42/42.91
% 293.42/42.91 [18922] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_668_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_668_8)))
% 293.42/42.91 -> [18992] ~unequally_directed_lines(skolem_N7979, M38_668_8)
% 293.42/42.91 -> [18993] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_668_8))
% 293.42/42.91
% 293.42/42.91 [18993] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_668_8))
% 293.42/42.91
% 293.42/42.91 [18992] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_668_8)
% 293.42/42.91
% 293.42/42.91 [18797] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.91 -> [18821] ~line(skolem_M7878)
% 293.42/42.91 -> [18822] ~line(skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [18822] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [18911] ((unequally_directed_lines(skolem_N7979, M38_667_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_667_8))) => (left_convergent_lines(skolem_N7979, M38_667_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_667_8))))
% 293.42/42.91
% 293.42/42.91 [18911] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_667_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_667_8))) => (left_convergent_lines(skolem_N7979, M38_667_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_667_8))))
% 293.42/42.91 -> [18914] ~(unequally_directed_lines(skolem_N7979, M38_667_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_667_8)))
% 293.42/42.91 -> [18915] (left_convergent_lines(skolem_N7979, M38_667_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_667_8)))
% 293.42/42.91
% 293.42/42.91 [18915] BETA_OR : (left_convergent_lines(skolem_N7979, M38_667_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_667_8)))
% 293.42/42.91 -> [18918] left_convergent_lines(skolem_N7979, M38_667_8)
% 293.42/42.91 -> [18919] left_convergent_lines(skolem_N7979, reverse_line(M38_667_8))
% 293.42/42.91
% 293.42/42.91 [18919] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [19182] ~(left_apart_point(A39_1307_9, L40_1307_9) | left_apart_point(A39_1307_9, reverse_line(L40_1307_9)))
% 293.42/42.91
% 293.42/42.91 [19182] ALPHA_NOT_OR : ~(left_apart_point(A39_1307_9, L40_1307_9) | left_apart_point(A39_1307_9, reverse_line(L40_1307_9)))
% 293.42/42.91 -> [19183] ~left_apart_point(A39_1307_9, L40_1307_9), ~left_apart_point(A39_1307_9, reverse_line(L40_1307_9))
% 293.42/42.91
% 293.42/42.91 [19183] CLOSURE : ~left_apart_point(A39_1307_9, L40_1307_9)
% 293.42/42.91
% 293.42/42.91 [18918] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [19213] ~(left_apart_point(A39_1313_9, L40_1313_9) | left_apart_point(A39_1313_9, reverse_line(L40_1313_9)))
% 293.42/42.91
% 293.42/42.91 [19213] ALPHA_NOT_OR : ~(left_apart_point(A39_1313_9, L40_1313_9) | left_apart_point(A39_1313_9, reverse_line(L40_1313_9)))
% 293.42/42.91 -> [19215] ~left_apart_point(A39_1313_9, L40_1313_9), ~left_apart_point(A39_1313_9, reverse_line(L40_1313_9))
% 293.42/42.91
% 293.42/42.91 [19215] CLOSURE : ~left_apart_point(A39_1313_9, L40_1313_9)
% 293.42/42.91
% 293.42/42.91 [18914] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_667_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_667_8)))
% 293.42/42.91 -> [18980] ~unequally_directed_lines(skolem_N7979, M38_667_8)
% 293.42/42.91 -> [18981] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_667_8))
% 293.42/42.91
% 293.42/42.91 [18981] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_667_8))
% 293.42/42.91
% 293.42/42.91 [18980] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_667_8)
% 293.42/42.91
% 293.42/42.91 [18821] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [20268] ((unequally_directed_lines(skolem_N7979, M38_762_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_762_8))) => (left_convergent_lines(skolem_N7979, M38_762_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_762_8))))
% 293.42/42.91
% 293.42/42.91 [20268] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_762_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_762_8))) => (left_convergent_lines(skolem_N7979, M38_762_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_762_8))))
% 293.42/42.91 -> [20270] ~(unequally_directed_lines(skolem_N7979, M38_762_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_762_8)))
% 293.42/42.91 -> [20271] (left_convergent_lines(skolem_N7979, M38_762_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_762_8)))
% 293.42/42.91
% 293.42/42.91 [20271] BETA_OR : (left_convergent_lines(skolem_N7979, M38_762_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_762_8)))
% 293.42/42.91 -> [20276] left_convergent_lines(skolem_N7979, M38_762_8)
% 293.42/42.91 -> [20277] left_convergent_lines(skolem_N7979, reverse_line(M38_762_8))
% 293.42/42.91
% 293.42/42.91 [20276] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [21419] ~(left_apart_point(A39_1579_9, L40_1579_9) | left_apart_point(A39_1579_9, reverse_line(L40_1579_9)))
% 293.42/42.91
% 293.42/42.91 [21419] ALPHA_NOT_OR : ~(left_apart_point(A39_1579_9, L40_1579_9) | left_apart_point(A39_1579_9, reverse_line(L40_1579_9)))
% 293.42/42.91 -> [21422] ~left_apart_point(A39_1579_9, L40_1579_9), ~left_apart_point(A39_1579_9, reverse_line(L40_1579_9))
% 293.42/42.91
% 293.42/42.91 [21422] CLOSURE : ~left_apart_point(A39_1579_9, L40_1579_9)
% 293.42/42.91
% 293.42/42.91 [20277] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [21445] ~(left_apart_point(A39_1587_9, L40_1587_9) | left_apart_point(A39_1587_9, reverse_line(L40_1587_9)))
% 293.42/42.91
% 293.42/42.91 [21445] ALPHA_NOT_OR : ~(left_apart_point(A39_1587_9, L40_1587_9) | left_apart_point(A39_1587_9, reverse_line(L40_1587_9)))
% 293.42/42.91 -> [21447] ~left_apart_point(A39_1587_9, L40_1587_9), ~left_apart_point(A39_1587_9, reverse_line(L40_1587_9))
% 293.42/42.91
% 293.42/42.91 [21447] CLOSURE : ~left_apart_point(A39_1587_9, L40_1587_9)
% 293.42/42.91
% 293.42/42.91 [20270] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_762_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_762_8)))
% 293.42/42.91 -> [20314] ~unequally_directed_lines(skolem_N7979, M38_762_8)
% 293.42/42.91 -> [20315] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_762_8))
% 293.42/42.91
% 293.42/42.91 [20314] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_762_8)
% 293.42/42.91
% 293.42/42.91 [20315] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_762_8))
% 293.42/42.91
% 293.42/42.91 [2103] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.91 -> [2150] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.91
% 293.42/42.91 [2150] 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))))
% 293.42/42.91 -> [2241] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.91
% 293.42/42.91 [2241] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.91 -> [2242] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.91 -> [2243] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.91
% 293.42/42.91 [2242] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.91
% 293.42/42.91 [2243] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.91 -> [6164] distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.91 -> [6165] distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.91
% 293.42/42.91 [6165] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.91
% 293.42/42.91 [6164] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.91 -> [8201] ~distinct_lines(N27_258_3, N27_258_3)
% 293.42/42.91
% 293.42/42.91 [8201] 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))))
% 293.42/42.91 -> [8218] (distinct_lines(N27_258_3, N27_258_3) => (distinct_lines(N27_258_3, N27_258_3) | distinct_lines(N27_258_3, N27_258_3)))
% 293.42/42.91
% 293.42/42.91 [8218] BETA_IMPLY : (distinct_lines(N27_258_3, N27_258_3) => (distinct_lines(N27_258_3, N27_258_3) | distinct_lines(N27_258_3, N27_258_3)))
% 293.42/42.91 -> [8219] ~distinct_lines(N27_258_3, N27_258_3)
% 293.42/42.91 -> [8220] (distinct_lines(N27_258_3, N27_258_3) | distinct_lines(N27_258_3, N27_258_3))
% 293.42/42.91
% 293.42/42.91 [8220] BETA_OR : (distinct_lines(N27_258_3, N27_258_3) | distinct_lines(N27_258_3, N27_258_3))
% 293.42/42.91 -> [8225] distinct_lines(N27_258_3, N27_258_3)
% 293.42/42.91 -> [8226] distinct_lines(N27_258_3, N27_258_3)
% 293.42/42.91
% 293.42/42.91 [8226] CLOSURE : distinct_lines(N27_258_3, N27_258_3)
% 293.42/42.91
% 293.42/42.91 [8225] CLOSURE : distinct_lines(N27_258_3, N27_258_3)
% 293.42/42.91
% 293.42/42.91 [8219] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.91 -> [8235] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [8235] 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))))
% 293.42/42.91 -> [8274] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878)))
% 293.42/42.91
% 293.42/42.91 [8274] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878)))
% 293.42/42.91 -> [8278] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91 -> [8279] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [8278] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91
% 293.42/42.91 [8279] 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)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878))
% 293.42/42.91 -> [8702] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.91 -> [8703] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [8702] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [8703] 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))))))
% 293.42/42.91 -> [12235] ((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)))))
% 293.42/42.91
% 293.42/42.91 [12235] 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)))))
% 293.42/42.91 -> [12236] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.91 -> [12237] ((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))))
% 293.42/42.91
% 293.42/42.91 [12236] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.91 -> [12266] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.91 -> [12267] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [12266] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.91
% 293.42/42.91 [12267] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [12237] 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))))
% 293.42/42.91 -> [19895] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [19896] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.91
% 293.42/42.91 [19895] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [19945] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [19945] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [19896] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [19899] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [19899] 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)))))
% 293.42/42.91 -> [20231] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.91
% 293.42/42.91 [20231] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.91 -> [20235] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.91 -> [20236] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.91
% 293.42/42.91 [20235] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.91 -> [20278] ~line(skolem_M7878)
% 293.42/42.91 -> [20279] ~line(skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [20279] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [20662] ((unequally_directed_lines(skolem_N7979, M38_778_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_778_8))) => (left_convergent_lines(skolem_N7979, M38_778_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_778_8))))
% 293.42/42.91
% 293.42/42.91 [20662] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_778_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_778_8))) => (left_convergent_lines(skolem_N7979, M38_778_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_778_8))))
% 293.42/42.91 -> [20666] ~(unequally_directed_lines(skolem_N7979, M38_778_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_778_8)))
% 293.42/42.91 -> [20667] (left_convergent_lines(skolem_N7979, M38_778_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_778_8)))
% 293.42/42.91
% 293.42/42.91 [20667] BETA_OR : (left_convergent_lines(skolem_N7979, M38_778_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_778_8)))
% 293.42/42.91 -> [20681] left_convergent_lines(skolem_N7979, M38_778_8)
% 293.42/42.91 -> [20682] left_convergent_lines(skolem_N7979, reverse_line(M38_778_8))
% 293.42/42.91
% 293.42/42.91 [20682] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [20719] ~(left_apart_point(A39_1513_9, L40_1513_9) | left_apart_point(A39_1513_9, reverse_line(L40_1513_9)))
% 293.42/42.91
% 293.42/42.91 [20719] ALPHA_NOT_OR : ~(left_apart_point(A39_1513_9, L40_1513_9) | left_apart_point(A39_1513_9, reverse_line(L40_1513_9)))
% 293.42/42.91 -> [20725] ~left_apart_point(A39_1513_9, L40_1513_9), ~left_apart_point(A39_1513_9, reverse_line(L40_1513_9))
% 293.42/42.91
% 293.42/42.91 [20725] CLOSURE : ~left_apart_point(A39_1513_9, L40_1513_9)
% 293.42/42.91
% 293.42/42.91 [20681] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [20732] ~(left_apart_point(A39_1516_9, L40_1516_9) | left_apart_point(A39_1516_9, reverse_line(L40_1516_9)))
% 293.42/42.91
% 293.42/42.91 [20732] ALPHA_NOT_OR : ~(left_apart_point(A39_1516_9, L40_1516_9) | left_apart_point(A39_1516_9, reverse_line(L40_1516_9)))
% 293.42/42.91 -> [20735] ~left_apart_point(A39_1516_9, L40_1516_9), ~left_apart_point(A39_1516_9, reverse_line(L40_1516_9))
% 293.42/42.91
% 293.42/42.91 [20735] CLOSURE : ~left_apart_point(A39_1516_9, L40_1516_9)
% 293.42/42.91
% 293.42/42.91 [20666] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_778_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_778_8)))
% 293.42/42.91 -> [20694] ~unequally_directed_lines(skolem_N7979, M38_778_8)
% 293.42/42.91 -> [20695] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_778_8))
% 293.42/42.91
% 293.42/42.91 [20695] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_778_8))
% 293.42/42.91
% 293.42/42.91 [20694] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_778_8)
% 293.42/42.91
% 293.42/42.91 [20278] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [20664] ((unequally_directed_lines(skolem_N7979, M38_779_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_779_8))) => (left_convergent_lines(skolem_N7979, M38_779_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_779_8))))
% 293.42/42.91
% 293.42/42.91 [20664] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_779_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_779_8))) => (left_convergent_lines(skolem_N7979, M38_779_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_779_8))))
% 293.42/42.91 -> [20668] ~(unequally_directed_lines(skolem_N7979, M38_779_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_779_8)))
% 293.42/42.91 -> [20669] (left_convergent_lines(skolem_N7979, M38_779_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_779_8)))
% 293.42/42.91
% 293.42/42.91 [20669] BETA_OR : (left_convergent_lines(skolem_N7979, M38_779_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_779_8)))
% 293.42/42.91 -> [20683] left_convergent_lines(skolem_N7979, M38_779_8)
% 293.42/42.91 -> [20684] left_convergent_lines(skolem_N7979, reverse_line(M38_779_8))
% 293.42/42.91
% 293.42/42.91 [20684] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [20728] ~(left_apart_point(A39_1515_9, L40_1515_9) | left_apart_point(A39_1515_9, reverse_line(L40_1515_9)))
% 293.42/42.91
% 293.42/42.91 [20728] ALPHA_NOT_OR : ~(left_apart_point(A39_1515_9, L40_1515_9) | left_apart_point(A39_1515_9, reverse_line(L40_1515_9)))
% 293.42/42.91 -> [20729] ~left_apart_point(A39_1515_9, L40_1515_9), ~left_apart_point(A39_1515_9, reverse_line(L40_1515_9))
% 293.42/42.91
% 293.42/42.91 [20729] CLOSURE : ~left_apart_point(A39_1515_9, L40_1515_9)
% 293.42/42.91
% 293.42/42.91 [20683] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [20736] ~(left_apart_point(A39_1517_9, L40_1517_9) | left_apart_point(A39_1517_9, reverse_line(L40_1517_9)))
% 293.42/42.91
% 293.42/42.91 [20736] ALPHA_NOT_OR : ~(left_apart_point(A39_1517_9, L40_1517_9) | left_apart_point(A39_1517_9, reverse_line(L40_1517_9)))
% 293.42/42.91 -> [20739] ~left_apart_point(A39_1517_9, L40_1517_9), ~left_apart_point(A39_1517_9, reverse_line(L40_1517_9))
% 293.42/42.91
% 293.42/42.91 [20739] CLOSURE : ~left_apart_point(A39_1517_9, L40_1517_9)
% 293.42/42.91
% 293.42/42.91 [20668] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_779_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_779_8)))
% 293.42/42.91 -> [20700] ~unequally_directed_lines(skolem_N7979, M38_779_8)
% 293.42/42.91 -> [20701] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_779_8))
% 293.42/42.91
% 293.42/42.91 [20701] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_779_8))
% 293.42/42.91
% 293.42/42.91 [20700] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_779_8)
% 293.42/42.91
% 293.42/42.91 [20236] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [20239] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.91 -> [20240] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [20239] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [20240] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [20706] ((unequally_directed_lines(skolem_N7979, M38_781_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_781_8))) => (left_convergent_lines(skolem_N7979, M38_781_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_781_8))))
% 293.42/42.91
% 293.42/42.91 [20706] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_781_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_781_8))) => (left_convergent_lines(skolem_N7979, M38_781_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_781_8))))
% 293.42/42.91 -> [20707] ~(unequally_directed_lines(skolem_N7979, M38_781_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_781_8)))
% 293.42/42.91 -> [20708] (left_convergent_lines(skolem_N7979, M38_781_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_781_8)))
% 293.42/42.91
% 293.42/42.91 [20708] BETA_OR : (left_convergent_lines(skolem_N7979, M38_781_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_781_8)))
% 293.42/42.91 -> [20712] left_convergent_lines(skolem_N7979, M38_781_8)
% 293.42/42.91 -> [20713] left_convergent_lines(skolem_N7979, reverse_line(M38_781_8))
% 293.42/42.91
% 293.42/42.91 [20713] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [21112] ~(left_apart_point(A39_1540_9, L40_1540_9) | left_apart_point(A39_1540_9, reverse_line(L40_1540_9)))
% 293.42/42.91
% 293.42/42.91 [21112] ALPHA_NOT_OR : ~(left_apart_point(A39_1540_9, L40_1540_9) | left_apart_point(A39_1540_9, reverse_line(L40_1540_9)))
% 293.42/42.91 -> [21116] ~left_apart_point(A39_1540_9, L40_1540_9), ~left_apart_point(A39_1540_9, reverse_line(L40_1540_9))
% 293.42/42.91
% 293.42/42.91 [21116] CLOSURE : ~left_apart_point(A39_1540_9, L40_1540_9)
% 293.42/42.91
% 293.42/42.91 [20712] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [21171] ~(left_apart_point(A39_1550_9, L40_1550_9) | left_apart_point(A39_1550_9, reverse_line(L40_1550_9)))
% 293.42/42.91
% 293.42/42.91 [21171] ALPHA_NOT_OR : ~(left_apart_point(A39_1550_9, L40_1550_9) | left_apart_point(A39_1550_9, reverse_line(L40_1550_9)))
% 293.42/42.91 -> [21173] ~left_apart_point(A39_1550_9, L40_1550_9), ~left_apart_point(A39_1550_9, reverse_line(L40_1550_9))
% 293.42/42.91
% 293.42/42.91 [21173] CLOSURE : ~left_apart_point(A39_1550_9, L40_1550_9)
% 293.42/42.91
% 293.42/42.91 [20707] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_781_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_781_8)))
% 293.42/42.91 -> [20787] ~unequally_directed_lines(skolem_N7979, M38_781_8)
% 293.42/42.91 -> [20788] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_781_8))
% 293.42/42.91
% 293.42/42.91 [20788] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_781_8))
% 293.42/42.91
% 293.42/42.91 [20787] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_781_8)
% 293.42/42.91
% 293.42/42.91 [2091] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.91 -> [2111] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))
% 293.42/42.91 -> [2112] ~~(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)))
% 293.42/42.91
% 293.42/42.91 [2111] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.91 -> [2197] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.91
% 293.42/42.91 [2197] 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))))
% 293.42/42.91 -> [2272] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.91
% 293.42/42.91 [2272] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.91 -> [2275] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.91 -> [2276] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.91
% 293.42/42.91 [2275] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.91
% 293.42/42.91 [2276] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.91 -> [5649] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.91 -> [5650] distinct_points(skolem_A8080, skolem_B8181)
% 293.42/42.91
% 293.42/42.91 [5649] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.91
% 293.42/42.91 [5650] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.91 -> [5942] ~distinct_lines(N27_184_3, N27_184_3)
% 293.42/42.91
% 293.42/42.91 [5942] 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))))
% 293.42/42.91 -> [6042] (distinct_lines(N27_184_3, N27_184_3) => (distinct_lines(N27_184_3, N27_184_3) | distinct_lines(N27_184_3, N27_184_3)))
% 293.42/42.91
% 293.42/42.91 [6042] BETA_IMPLY : (distinct_lines(N27_184_3, N27_184_3) => (distinct_lines(N27_184_3, N27_184_3) | distinct_lines(N27_184_3, N27_184_3)))
% 293.42/42.91 -> [6045] ~distinct_lines(N27_184_3, N27_184_3)
% 293.42/42.91 -> [6046] (distinct_lines(N27_184_3, N27_184_3) | distinct_lines(N27_184_3, N27_184_3))
% 293.42/42.91
% 293.42/42.91 [6046] BETA_OR : (distinct_lines(N27_184_3, N27_184_3) | distinct_lines(N27_184_3, N27_184_3))
% 293.42/42.91 -> [6047] distinct_lines(N27_184_3, N27_184_3)
% 293.42/42.91 -> [6048] distinct_lines(N27_184_3, N27_184_3)
% 293.42/42.91
% 293.42/42.91 [6048] CLOSURE : distinct_lines(N27_184_3, N27_184_3)
% 293.42/42.91
% 293.42/42.91 [6047] CLOSURE : distinct_lines(N27_184_3, N27_184_3)
% 293.42/42.91
% 293.42/42.91 [6045] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.91 -> [6273] ~unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91
% 293.42/42.91 [6273] 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))))
% 293.42/42.91 -> [6498] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.91
% 293.42/42.91 [6498] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.91 -> [6499] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91 -> [6500] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.91
% 293.42/42.91 [6499] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91
% 293.42/42.91 [6500] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.91 -> [10492] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91 -> [10493] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91
% 293.42/42.91 [10493] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91
% 293.42/42.91 [10492] 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))))))
% 293.42/42.91 -> [12030] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_167_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_167_6))) | (unequally_directed_lines(skolem_N7979, N34_167_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_167_6)))))
% 293.42/42.91
% 293.42/42.91 [12030] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_167_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_167_6))) | (unequally_directed_lines(skolem_N7979, N34_167_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_167_6)))))
% 293.42/42.91 -> [12032] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.91 -> [12033] ((unequally_directed_lines(skolem_M7878, N34_167_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_167_6))) | (unequally_directed_lines(skolem_N7979, N34_167_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_167_6))))
% 293.42/42.91
% 293.42/42.91 [12032] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.91 -> [12059] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.91 -> [12060] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [12060] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [12059] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.91
% 293.42/42.91 [12033] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_167_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_167_6))) | (unequally_directed_lines(skolem_N7979, N34_167_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_167_6))))
% 293.42/42.91 -> [16437] (unequally_directed_lines(skolem_M7878, N34_167_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_167_6)))
% 293.42/42.91 -> [16438] (unequally_directed_lines(skolem_N7979, N34_167_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_167_6)))
% 293.42/42.91
% 293.42/42.91 [16437] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_167_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_167_6)))
% 293.42/42.91 -> [16509] unequally_directed_lines(skolem_M7878, N34_167_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_167_6))
% 293.42/42.91
% 293.42/42.91 [16509] 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)))))
% 293.42/42.91 -> [17297] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.91
% 293.42/42.91 [17297] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.91 -> [17298] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.91 -> [17299] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.91
% 293.42/42.91 [17299] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.91 -> [17304] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91 -> [17305] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.91
% 293.42/42.91 [17304] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91
% 293.42/42.91 [17305] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [17836] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.91
% 293.42/42.91 [17836] 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))))
% 293.42/42.91 -> [17837] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [17838] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91
% 293.42/42.91 [17837] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [17891] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91 -> [17892] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [17892] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [17891] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [17838] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [17841] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91 -> [17842] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [17841] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [18074] ~(left_apart_point(A39_1168_9, L40_1168_9) | left_apart_point(A39_1168_9, reverse_line(L40_1168_9)))
% 293.42/42.91
% 293.42/42.91 [18074] ALPHA_NOT_OR : ~(left_apart_point(A39_1168_9, L40_1168_9) | left_apart_point(A39_1168_9, reverse_line(L40_1168_9)))
% 293.42/42.91 -> [18076] ~left_apart_point(A39_1168_9, L40_1168_9), ~left_apart_point(A39_1168_9, reverse_line(L40_1168_9))
% 293.42/42.91
% 293.42/42.91 [18076] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.91 -> [18388] ~(left_convergent_lines(L41_151_10, M42_151_10) | left_convergent_lines(L41_151_10, reverse_line(M42_151_10)))
% 293.42/42.91
% 293.42/42.91 [18388] ALPHA_NOT_OR : ~(left_convergent_lines(L41_151_10, M42_151_10) | left_convergent_lines(L41_151_10, reverse_line(M42_151_10)))
% 293.42/42.91 -> [18392] ~left_convergent_lines(L41_151_10, M42_151_10), ~left_convergent_lines(L41_151_10, reverse_line(M42_151_10))
% 293.42/42.91
% 293.42/42.91 [18392] CLOSURE : ~left_convergent_lines(L41_151_10, M42_151_10)
% 293.42/42.91
% 293.42/42.91 [17842] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [18079] ~(left_apart_point(A39_1169_9, L40_1169_9) | left_apart_point(A39_1169_9, reverse_line(L40_1169_9)))
% 293.42/42.91
% 293.42/42.91 [18079] ALPHA_NOT_OR : ~(left_apart_point(A39_1169_9, L40_1169_9) | left_apart_point(A39_1169_9, reverse_line(L40_1169_9)))
% 293.42/42.91 -> [18082] ~left_apart_point(A39_1169_9, L40_1169_9), ~left_apart_point(A39_1169_9, reverse_line(L40_1169_9))
% 293.42/42.91
% 293.42/42.91 [18082] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.91 -> [18397] ~(left_convergent_lines(L41_152_10, M42_152_10) | left_convergent_lines(L41_152_10, reverse_line(M42_152_10)))
% 293.42/42.91
% 293.42/42.91 [18397] ALPHA_NOT_OR : ~(left_convergent_lines(L41_152_10, M42_152_10) | left_convergent_lines(L41_152_10, reverse_line(M42_152_10)))
% 293.42/42.91 -> [18400] ~left_convergent_lines(L41_152_10, M42_152_10), ~left_convergent_lines(L41_152_10, reverse_line(M42_152_10))
% 293.42/42.91
% 293.42/42.91 [18400] CLOSURE : ~left_convergent_lines(L41_152_10, M42_152_10)
% 293.42/42.91
% 293.42/42.91 [17298] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.91 -> [17437] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91 -> [17438] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91
% 293.42/42.91 [17437] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [17881] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.91
% 293.42/42.91 [17881] 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))))
% 293.42/42.91 -> [17882] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [17883] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91
% 293.42/42.91 [17882] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [17907] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91 -> [17908] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [17908] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [17907] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [17883] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [17887] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91 -> [17888] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [17887] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [18083] ~(left_apart_point(A39_1170_9, L40_1170_9) | left_apart_point(A39_1170_9, reverse_line(L40_1170_9)))
% 293.42/42.91
% 293.42/42.91 [18083] ALPHA_NOT_OR : ~(left_apart_point(A39_1170_9, L40_1170_9) | left_apart_point(A39_1170_9, reverse_line(L40_1170_9)))
% 293.42/42.91 -> [18084] ~left_apart_point(A39_1170_9, L40_1170_9), ~left_apart_point(A39_1170_9, reverse_line(L40_1170_9))
% 293.42/42.91
% 293.42/42.91 [18084] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.91 -> [18484] ~(left_convergent_lines(L41_156_10, M42_156_10) | left_convergent_lines(L41_156_10, reverse_line(M42_156_10)))
% 293.42/42.91
% 293.42/42.91 [18484] ALPHA_NOT_OR : ~(left_convergent_lines(L41_156_10, M42_156_10) | left_convergent_lines(L41_156_10, reverse_line(M42_156_10)))
% 293.42/42.91 -> [18486] ~left_convergent_lines(L41_156_10, M42_156_10), ~left_convergent_lines(L41_156_10, reverse_line(M42_156_10))
% 293.42/42.91
% 293.42/42.91 [18486] CLOSURE : ~left_convergent_lines(L41_156_10, M42_156_10)
% 293.42/42.91
% 293.42/42.91 [17888] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [18026] ~(left_apart_point(A39_1165_9, L40_1165_9) | left_apart_point(A39_1165_9, reverse_line(L40_1165_9)))
% 293.42/42.91
% 293.42/42.91 [18026] ALPHA_NOT_OR : ~(left_apart_point(A39_1165_9, L40_1165_9) | left_apart_point(A39_1165_9, reverse_line(L40_1165_9)))
% 293.42/42.91 -> [18031] ~left_apart_point(A39_1165_9, L40_1165_9), ~left_apart_point(A39_1165_9, reverse_line(L40_1165_9))
% 293.42/42.91
% 293.42/42.91 [18031] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.91 -> [18506] ~(left_convergent_lines(L41_158_10, M42_158_10) | left_convergent_lines(L41_158_10, reverse_line(M42_158_10)))
% 293.42/42.91
% 293.42/42.91 [18506] ALPHA_NOT_OR : ~(left_convergent_lines(L41_158_10, M42_158_10) | left_convergent_lines(L41_158_10, reverse_line(M42_158_10)))
% 293.42/42.91 -> [18510] ~left_convergent_lines(L41_158_10, M42_158_10), ~left_convergent_lines(L41_158_10, reverse_line(M42_158_10))
% 293.42/42.91
% 293.42/42.91 [18510] CLOSURE : ~left_convergent_lines(L41_158_10, M42_158_10)
% 293.42/42.91
% 293.42/42.91 [17438] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [17829] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.91
% 293.42/42.91 [17829] 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))))
% 293.42/42.91 -> [17830] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [17831] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91
% 293.42/42.91 [17830] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [17860] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91 -> [17861] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [17861] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [17860] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [17831] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [17834] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91 -> [17835] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [17834] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [17979] ~(left_apart_point(A39_1163_9, L40_1163_9) | left_apart_point(A39_1163_9, reverse_line(L40_1163_9)))
% 293.42/42.91
% 293.42/42.91 [17979] ALPHA_NOT_OR : ~(left_apart_point(A39_1163_9, L40_1163_9) | left_apart_point(A39_1163_9, reverse_line(L40_1163_9)))
% 293.42/42.91 -> [17981] ~left_apart_point(A39_1163_9, L40_1163_9), ~left_apart_point(A39_1163_9, reverse_line(L40_1163_9))
% 293.42/42.91
% 293.42/42.91 [17981] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.91 -> [18468] ~(left_convergent_lines(L41_154_10, M42_154_10) | left_convergent_lines(L41_154_10, reverse_line(M42_154_10)))
% 293.42/42.91
% 293.42/42.91 [18468] ALPHA_NOT_OR : ~(left_convergent_lines(L41_154_10, M42_154_10) | left_convergent_lines(L41_154_10, reverse_line(M42_154_10)))
% 293.42/42.91 -> [18469] ~left_convergent_lines(L41_154_10, M42_154_10), ~left_convergent_lines(L41_154_10, reverse_line(M42_154_10))
% 293.42/42.91
% 293.42/42.91 [18469] CLOSURE : ~left_convergent_lines(L41_154_10, M42_154_10)
% 293.42/42.91
% 293.42/42.91 [17835] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [17928] ~(left_apart_point(A39_1160_9, L40_1160_9) | left_apart_point(A39_1160_9, reverse_line(L40_1160_9)))
% 293.42/42.91
% 293.42/42.91 [17928] ALPHA_NOT_OR : ~(left_apart_point(A39_1160_9, L40_1160_9) | left_apart_point(A39_1160_9, reverse_line(L40_1160_9)))
% 293.42/42.91 -> [17935] ~left_apart_point(A39_1160_9, L40_1160_9), ~left_apart_point(A39_1160_9, reverse_line(L40_1160_9))
% 293.42/42.91
% 293.42/42.91 [17935] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.91 -> [18590] ~(left_convergent_lines(L41_161_10, M42_161_10) | left_convergent_lines(L41_161_10, reverse_line(M42_161_10)))
% 293.42/42.91
% 293.42/42.91 [18590] ALPHA_NOT_OR : ~(left_convergent_lines(L41_161_10, M42_161_10) | left_convergent_lines(L41_161_10, reverse_line(M42_161_10)))
% 293.42/42.91 -> [18595] ~left_convergent_lines(L41_161_10, M42_161_10), ~left_convergent_lines(L41_161_10, reverse_line(M42_161_10))
% 293.42/42.91
% 293.42/42.91 [18595] CLOSURE : ~left_convergent_lines(L41_161_10, M42_161_10)
% 293.42/42.91
% 293.42/42.91 [16438] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_167_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_167_6)))
% 293.42/42.91 -> [16442] unequally_directed_lines(skolem_N7979, N34_167_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_167_6))
% 293.42/42.91
% 293.42/42.91 [16442] 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)))))
% 293.42/42.91 -> [16958] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.91
% 293.42/42.91 [16958] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.91 -> [16960] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.91 -> [16961] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.91
% 293.42/42.91 [16960] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.91 -> [17005] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91 -> [17006] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91
% 293.42/42.91 [17005] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [17576] ((unequally_directed_lines(skolem_N7979, M38_591_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_591_8))) => (left_convergent_lines(skolem_N7979, M38_591_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_591_8))))
% 293.42/42.91
% 293.42/42.91 [17576] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_591_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_591_8))) => (left_convergent_lines(skolem_N7979, M38_591_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_591_8))))
% 293.42/42.91 -> [17577] ~(unequally_directed_lines(skolem_N7979, M38_591_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_591_8)))
% 293.42/42.91 -> [17578] (left_convergent_lines(skolem_N7979, M38_591_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_591_8)))
% 293.42/42.91
% 293.42/42.91 [17577] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_591_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_591_8)))
% 293.42/42.91 -> [17673] ~unequally_directed_lines(skolem_N7979, M38_591_8)
% 293.42/42.91 -> [17674] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_591_8))
% 293.42/42.91
% 293.42/42.91 [17673] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_591_8)
% 293.42/42.91
% 293.42/42.91 [17674] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_591_8))
% 293.42/42.91
% 293.42/42.91 [17578] BETA_OR : (left_convergent_lines(skolem_N7979, M38_591_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_591_8)))
% 293.42/42.91 -> [17581] left_convergent_lines(skolem_N7979, M38_591_8)
% 293.42/42.91 -> [17582] left_convergent_lines(skolem_N7979, reverse_line(M38_591_8))
% 293.42/42.91
% 293.42/42.91 [17581] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [18846] ~(left_apart_point(A39_1265_9, L40_1265_9) | left_apart_point(A39_1265_9, reverse_line(L40_1265_9)))
% 293.42/42.91
% 293.42/42.91 [18846] ALPHA_NOT_OR : ~(left_apart_point(A39_1265_9, L40_1265_9) | left_apart_point(A39_1265_9, reverse_line(L40_1265_9)))
% 293.42/42.91 -> [18847] ~left_apart_point(A39_1265_9, L40_1265_9), ~left_apart_point(A39_1265_9, reverse_line(L40_1265_9))
% 293.42/42.91
% 293.42/42.91 [18847] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.91 -> [19271] ~(left_convergent_lines(L41_167_10, M42_167_10) | left_convergent_lines(L41_167_10, reverse_line(M42_167_10)))
% 293.42/42.91
% 293.42/42.91 [19271] ALPHA_NOT_OR : ~(left_convergent_lines(L41_167_10, M42_167_10) | left_convergent_lines(L41_167_10, reverse_line(M42_167_10)))
% 293.42/42.91 -> [19272] ~left_convergent_lines(L41_167_10, M42_167_10), ~left_convergent_lines(L41_167_10, reverse_line(M42_167_10))
% 293.42/42.91
% 293.42/42.91 [19272] CLOSURE : ~left_convergent_lines(L41_167_10, M42_167_10)
% 293.42/42.91
% 293.42/42.91 [17582] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [18817] ~(left_apart_point(A39_1259_9, L40_1259_9) | left_apart_point(A39_1259_9, reverse_line(L40_1259_9)))
% 293.42/42.91
% 293.42/42.91 [18817] ALPHA_NOT_OR : ~(left_apart_point(A39_1259_9, L40_1259_9) | left_apart_point(A39_1259_9, reverse_line(L40_1259_9)))
% 293.42/42.91 -> [18823] ~left_apart_point(A39_1259_9, L40_1259_9), ~left_apart_point(A39_1259_9, reverse_line(L40_1259_9))
% 293.42/42.91
% 293.42/42.91 [18823] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.91 -> [20410] ~(left_convergent_lines(L41_189_10, M42_189_10) | left_convergent_lines(L41_189_10, reverse_line(M42_189_10)))
% 293.42/42.91
% 293.42/42.91 [20410] ALPHA_NOT_OR : ~(left_convergent_lines(L41_189_10, M42_189_10) | left_convergent_lines(L41_189_10, reverse_line(M42_189_10)))
% 293.42/42.91 -> [20411] ~left_convergent_lines(L41_189_10, M42_189_10), ~left_convergent_lines(L41_189_10, reverse_line(M42_189_10))
% 293.42/42.91
% 293.42/42.91 [20411] CLOSURE : ~left_convergent_lines(L41_189_10, M42_189_10)
% 293.42/42.91
% 293.42/42.91 [17006] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [17458] ((unequally_directed_lines(skolem_N7979, M38_584_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_584_8))) => (left_convergent_lines(skolem_N7979, M38_584_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_584_8))))
% 293.42/42.91
% 293.42/42.91 [17458] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_584_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_584_8))) => (left_convergent_lines(skolem_N7979, M38_584_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_584_8))))
% 293.42/42.91 -> [17461] ~(unequally_directed_lines(skolem_N7979, M38_584_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_584_8)))
% 293.42/42.91 -> [17462] (left_convergent_lines(skolem_N7979, M38_584_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_584_8)))
% 293.42/42.91
% 293.42/42.91 [17461] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_584_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_584_8)))
% 293.42/42.91 -> [17585] ~unequally_directed_lines(skolem_N7979, M38_584_8)
% 293.42/42.91 -> [17586] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_584_8))
% 293.42/42.91
% 293.42/42.91 [17586] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_584_8))
% 293.42/42.91
% 293.42/42.91 [17585] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_584_8)
% 293.42/42.91
% 293.42/42.91 [17462] BETA_OR : (left_convergent_lines(skolem_N7979, M38_584_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_584_8)))
% 293.42/42.91 -> [17467] left_convergent_lines(skolem_N7979, M38_584_8)
% 293.42/42.91 -> [17468] left_convergent_lines(skolem_N7979, reverse_line(M38_584_8))
% 293.42/42.91
% 293.42/42.91 [17467] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [19442] ~(left_apart_point(A39_1344_9, L40_1344_9) | left_apart_point(A39_1344_9, reverse_line(L40_1344_9)))
% 293.42/42.91
% 293.42/42.91 [19442] ALPHA_NOT_OR : ~(left_apart_point(A39_1344_9, L40_1344_9) | left_apart_point(A39_1344_9, reverse_line(L40_1344_9)))
% 293.42/42.91 -> [19445] ~left_apart_point(A39_1344_9, L40_1344_9), ~left_apart_point(A39_1344_9, reverse_line(L40_1344_9))
% 293.42/42.91
% 293.42/42.91 [19445] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.91 -> [19636] ~(left_convergent_lines(L41_177_10, M42_177_10) | left_convergent_lines(L41_177_10, reverse_line(M42_177_10)))
% 293.42/42.91
% 293.42/42.91 [19636] ALPHA_NOT_OR : ~(left_convergent_lines(L41_177_10, M42_177_10) | left_convergent_lines(L41_177_10, reverse_line(M42_177_10)))
% 293.42/42.91 -> [19640] ~left_convergent_lines(L41_177_10, M42_177_10), ~left_convergent_lines(L41_177_10, reverse_line(M42_177_10))
% 293.42/42.91
% 293.42/42.91 [19640] CLOSURE : ~left_convergent_lines(L41_177_10, M42_177_10)
% 293.42/42.91
% 293.42/42.91 [17468] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [19613] ~(left_apart_point(A39_1366_9, L40_1366_9) | left_apart_point(A39_1366_9, reverse_line(L40_1366_9)))
% 293.42/42.91
% 293.42/42.91 [19613] ALPHA_NOT_OR : ~(left_apart_point(A39_1366_9, L40_1366_9) | left_apart_point(A39_1366_9, reverse_line(L40_1366_9)))
% 293.42/42.91 -> [19616] ~left_apart_point(A39_1366_9, L40_1366_9), ~left_apart_point(A39_1366_9, reverse_line(L40_1366_9))
% 293.42/42.91
% 293.42/42.91 [19616] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.91 -> [20542] ~(left_convergent_lines(L41_190_10, M42_190_10) | left_convergent_lines(L41_190_10, reverse_line(M42_190_10)))
% 293.42/42.91
% 293.42/42.91 [20542] ALPHA_NOT_OR : ~(left_convergent_lines(L41_190_10, M42_190_10) | left_convergent_lines(L41_190_10, reverse_line(M42_190_10)))
% 293.42/42.91 -> [20544] ~left_convergent_lines(L41_190_10, M42_190_10), ~left_convergent_lines(L41_190_10, reverse_line(M42_190_10))
% 293.42/42.91
% 293.42/42.91 [20544] CLOSURE : ~left_convergent_lines(L41_190_10, M42_190_10)
% 293.42/42.91
% 293.42/42.91 [16961] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.91 -> [16963] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91 -> [16964] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.91
% 293.42/42.91 [16963] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91
% 293.42/42.91 [16964] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [17474] ((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))))
% 293.42/42.91
% 293.42/42.91 [17474] 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))))
% 293.42/42.91 -> [17477] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.91 -> [17478] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.91
% 293.42/42.91 [17477] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.91 -> [17589] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.91 -> [17590] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [17589] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.91
% 293.42/42.91 [17590] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [17478] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.91 -> [17485] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.91 -> [17486] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [17485] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [21032] ~(left_apart_point(A39_1530_9, L40_1530_9) | left_apart_point(A39_1530_9, reverse_line(L40_1530_9)))
% 293.42/42.91
% 293.42/42.91 [21032] ALPHA_NOT_OR : ~(left_apart_point(A39_1530_9, L40_1530_9) | left_apart_point(A39_1530_9, reverse_line(L40_1530_9)))
% 293.42/42.91 -> [21036] ~left_apart_point(A39_1530_9, L40_1530_9), ~left_apart_point(A39_1530_9, reverse_line(L40_1530_9))
% 293.42/42.91
% 293.42/42.91 [21036] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.91 -> [21569] ~(left_convergent_lines(L41_202_10, M42_202_10) | left_convergent_lines(L41_202_10, reverse_line(M42_202_10)))
% 293.42/42.91
% 293.42/42.91 [21569] ALPHA_NOT_OR : ~(left_convergent_lines(L41_202_10, M42_202_10) | left_convergent_lines(L41_202_10, reverse_line(M42_202_10)))
% 293.42/42.91 -> [21573] ~left_convergent_lines(L41_202_10, M42_202_10), ~left_convergent_lines(L41_202_10, reverse_line(M42_202_10))
% 293.42/42.91
% 293.42/42.91 [21573] CLOSURE : ~left_convergent_lines(L41_202_10, M42_202_10)
% 293.42/42.91
% 293.42/42.91 [17486] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [20545] ~(left_apart_point(A39_1498_9, L40_1498_9) | left_apart_point(A39_1498_9, reverse_line(L40_1498_9)))
% 293.42/42.91
% 293.42/42.91 [20545] ALPHA_NOT_OR : ~(left_apart_point(A39_1498_9, L40_1498_9) | left_apart_point(A39_1498_9, reverse_line(L40_1498_9)))
% 293.42/42.91 -> [20548] ~left_apart_point(A39_1498_9, L40_1498_9), ~left_apart_point(A39_1498_9, reverse_line(L40_1498_9))
% 293.42/42.91
% 293.42/42.91 [20548] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.91 -> [21866] ~(left_convergent_lines(L41_210_10, M42_210_10) | left_convergent_lines(L41_210_10, reverse_line(M42_210_10)))
% 293.42/42.91
% 293.42/42.91 [21866] ALPHA_NOT_OR : ~(left_convergent_lines(L41_210_10, M42_210_10) | left_convergent_lines(L41_210_10, reverse_line(M42_210_10)))
% 293.42/42.91 -> [21870] ~left_convergent_lines(L41_210_10, M42_210_10), ~left_convergent_lines(L41_210_10, reverse_line(M42_210_10))
% 293.42/42.91
% 293.42/42.91 [21870] CLOSURE : ~left_convergent_lines(L41_210_10, M42_210_10)
% 293.42/42.91
% 293.42/42.91 [2112] 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)))
% 293.42/42.91 -> [2113] (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)))
% 293.42/42.91
% 293.42/42.91 [2113] 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)))
% 293.42/42.91 -> [2114] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 293.42/42.91 -> [2115] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [2115] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.91 -> [2203] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.91
% 293.42/42.91 [2203] 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))))
% 293.42/42.91 -> [2309] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.91
% 293.42/42.91 [2309] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.91 -> [2312] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.91 -> [2313] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.91
% 293.42/42.91 [2312] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.91
% 293.42/42.91 [2313] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.91 -> [5512] distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.91 -> [5513] distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.91
% 293.42/42.91 [5513] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.91
% 293.42/42.91 [5512] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.91 -> [6426] ~distinct_lines(L25_205_3, L25_205_3)
% 293.42/42.91
% 293.42/42.91 [6426] 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))))
% 293.42/42.91 -> [6475] (distinct_lines(L25_205_3, L25_205_3) => (distinct_lines(L25_205_3, L25_205_3) | distinct_lines(L25_205_3, L25_205_3)))
% 293.42/42.91
% 293.42/42.91 [6475] BETA_IMPLY : (distinct_lines(L25_205_3, L25_205_3) => (distinct_lines(L25_205_3, L25_205_3) | distinct_lines(L25_205_3, L25_205_3)))
% 293.42/42.91 -> [6480] ~distinct_lines(L25_205_3, L25_205_3)
% 293.42/42.91 -> [6481] (distinct_lines(L25_205_3, L25_205_3) | distinct_lines(L25_205_3, L25_205_3))
% 293.42/42.91
% 293.42/42.91 [6481] BETA_OR : (distinct_lines(L25_205_3, L25_205_3) | distinct_lines(L25_205_3, L25_205_3))
% 293.42/42.91 -> [6486] distinct_lines(L25_205_3, L25_205_3)
% 293.42/42.91 -> [6487] distinct_lines(L25_205_3, L25_205_3)
% 293.42/42.91
% 293.42/42.91 [6487] CLOSURE : distinct_lines(L25_205_3, L25_205_3)
% 293.42/42.91
% 293.42/42.91 [6486] CLOSURE : distinct_lines(L25_205_3, L25_205_3)
% 293.42/42.91
% 293.42/42.91 [6480] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.91 -> [6521] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [6521] 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))))
% 293.42/42.91 -> [6552] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878)))
% 293.42/42.91
% 293.42/42.91 [6552] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878)))
% 293.42/42.91 -> [6553] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91 -> [6554] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [6553] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91
% 293.42/42.91 [6554] 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)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878))
% 293.42/42.91 -> [11625] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.91 -> [11626] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [11625] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [11626] 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))))))
% 293.42/42.91 -> [13290] ((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)))))
% 293.42/42.91
% 293.42/42.91 [13290] 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)))))
% 293.42/42.91 -> [13291] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.91 -> [13292] ((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))))
% 293.42/42.91
% 293.42/42.91 [13291] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.91 -> [13304] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.91 -> [13305] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [13305] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [13304] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.91
% 293.42/42.91 [13292] 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))))
% 293.42/42.91 -> [18635] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [18636] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.91
% 293.42/42.91 [18635] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [18668] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [18668] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [18636] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [18637] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [18637] 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)))))
% 293.42/42.91 -> [18832] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.91
% 293.42/42.91 [18832] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.91 -> [18833] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.91 -> [18834] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.91
% 293.42/42.91 [18833] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.91 -> [18850] ~line(skolem_M7878)
% 293.42/42.91 -> [18851] ~line(skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [18851] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [18999] ((unequally_directed_lines(skolem_N7979, M38_674_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_674_8))) => (left_convergent_lines(skolem_N7979, M38_674_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_674_8))))
% 293.42/42.91
% 293.42/42.91 [18999] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_674_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_674_8))) => (left_convergent_lines(skolem_N7979, M38_674_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_674_8))))
% 293.42/42.91 -> [19001] ~(unequally_directed_lines(skolem_N7979, M38_674_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_674_8)))
% 293.42/42.91 -> [19002] (left_convergent_lines(skolem_N7979, M38_674_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_674_8)))
% 293.42/42.91
% 293.42/42.91 [19002] BETA_OR : (left_convergent_lines(skolem_N7979, M38_674_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_674_8)))
% 293.42/42.91 -> [19007] left_convergent_lines(skolem_N7979, M38_674_8)
% 293.42/42.91 -> [19008] left_convergent_lines(skolem_N7979, reverse_line(M38_674_8))
% 293.42/42.91
% 293.42/42.91 [19008] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [19235] ~(left_apart_point(A39_1316_9, L40_1316_9) | left_apart_point(A39_1316_9, reverse_line(L40_1316_9)))
% 293.42/42.91
% 293.42/42.91 [19235] ALPHA_NOT_OR : ~(left_apart_point(A39_1316_9, L40_1316_9) | left_apart_point(A39_1316_9, reverse_line(L40_1316_9)))
% 293.42/42.91 -> [19236] ~left_apart_point(A39_1316_9, L40_1316_9), ~left_apart_point(A39_1316_9, reverse_line(L40_1316_9))
% 293.42/42.91
% 293.42/42.91 [19236] CLOSURE : ~left_apart_point(A39_1316_9, L40_1316_9)
% 293.42/42.91
% 293.42/42.91 [19007] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [19294] ~(left_apart_point(A39_1328_9, L40_1328_9) | left_apart_point(A39_1328_9, reverse_line(L40_1328_9)))
% 293.42/42.91
% 293.42/42.91 [19294] ALPHA_NOT_OR : ~(left_apart_point(A39_1328_9, L40_1328_9) | left_apart_point(A39_1328_9, reverse_line(L40_1328_9)))
% 293.42/42.91 -> [19296] ~left_apart_point(A39_1328_9, L40_1328_9), ~left_apart_point(A39_1328_9, reverse_line(L40_1328_9))
% 293.42/42.91
% 293.42/42.91 [19296] CLOSURE : ~left_apart_point(A39_1328_9, L40_1328_9)
% 293.42/42.91
% 293.42/42.91 [19001] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_674_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_674_8)))
% 293.42/42.91 -> [19104] ~unequally_directed_lines(skolem_N7979, M38_674_8)
% 293.42/42.91 -> [19105] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_674_8))
% 293.42/42.91
% 293.42/42.91 [19105] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_674_8))
% 293.42/42.91
% 293.42/42.91 [19104] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_674_8)
% 293.42/42.91
% 293.42/42.91 [18850] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [19085] ((unequally_directed_lines(skolem_N7979, M38_681_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_681_8))) => (left_convergent_lines(skolem_N7979, M38_681_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_681_8))))
% 293.42/42.91
% 293.42/42.91 [19085] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_681_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_681_8))) => (left_convergent_lines(skolem_N7979, M38_681_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_681_8))))
% 293.42/42.91 -> [19087] ~(unequally_directed_lines(skolem_N7979, M38_681_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_681_8)))
% 293.42/42.91 -> [19088] (left_convergent_lines(skolem_N7979, M38_681_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_681_8)))
% 293.42/42.91
% 293.42/42.91 [19088] BETA_OR : (left_convergent_lines(skolem_N7979, M38_681_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_681_8)))
% 293.42/42.91 -> [19094] left_convergent_lines(skolem_N7979, M38_681_8)
% 293.42/42.91 -> [19095] left_convergent_lines(skolem_N7979, reverse_line(M38_681_8))
% 293.42/42.91
% 293.42/42.91 [19095] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [19279] ~(left_apart_point(A39_1323_9, L40_1323_9) | left_apart_point(A39_1323_9, reverse_line(L40_1323_9)))
% 293.42/42.91
% 293.42/42.91 [19279] ALPHA_NOT_OR : ~(left_apart_point(A39_1323_9, L40_1323_9) | left_apart_point(A39_1323_9, reverse_line(L40_1323_9)))
% 293.42/42.91 -> [19285] ~left_apart_point(A39_1323_9, L40_1323_9), ~left_apart_point(A39_1323_9, reverse_line(L40_1323_9))
% 293.42/42.91
% 293.42/42.91 [19285] CLOSURE : ~left_apart_point(A39_1323_9, L40_1323_9)
% 293.42/42.91
% 293.42/42.91 [19094] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [19336] ~(left_apart_point(A39_1335_9, L40_1335_9) | left_apart_point(A39_1335_9, reverse_line(L40_1335_9)))
% 293.42/42.91
% 293.42/42.91 [19336] ALPHA_NOT_OR : ~(left_apart_point(A39_1335_9, L40_1335_9) | left_apart_point(A39_1335_9, reverse_line(L40_1335_9)))
% 293.42/42.91 -> [19337] ~left_apart_point(A39_1335_9, L40_1335_9), ~left_apart_point(A39_1335_9, reverse_line(L40_1335_9))
% 293.42/42.91
% 293.42/42.91 [19337] CLOSURE : ~left_apart_point(A39_1335_9, L40_1335_9)
% 293.42/42.91
% 293.42/42.91 [19087] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_681_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_681_8)))
% 293.42/42.91 -> [19159] ~unequally_directed_lines(skolem_N7979, M38_681_8)
% 293.42/42.91 -> [19160] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_681_8))
% 293.42/42.91
% 293.42/42.91 [19160] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_681_8))
% 293.42/42.91
% 293.42/42.91 [19159] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_681_8)
% 293.42/42.91
% 293.42/42.91 [18834] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [18835] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.91 -> [18836] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [18835] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [18836] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [19019] ((unequally_directed_lines(skolem_N7979, M38_677_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_677_8))) => (left_convergent_lines(skolem_N7979, M38_677_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_677_8))))
% 293.42/42.91
% 293.42/42.91 [19019] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_677_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_677_8))) => (left_convergent_lines(skolem_N7979, M38_677_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_677_8))))
% 293.42/42.91 -> [19022] ~(unequally_directed_lines(skolem_N7979, M38_677_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_677_8)))
% 293.42/42.91 -> [19023] (left_convergent_lines(skolem_N7979, M38_677_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_677_8)))
% 293.42/42.91
% 293.42/42.91 [19023] BETA_OR : (left_convergent_lines(skolem_N7979, M38_677_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_677_8)))
% 293.42/42.91 -> [19031] left_convergent_lines(skolem_N7979, M38_677_8)
% 293.42/42.91 -> [19032] left_convergent_lines(skolem_N7979, reverse_line(M38_677_8))
% 293.42/42.91
% 293.42/42.91 [19032] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [19244] ~(left_apart_point(A39_1318_9, L40_1318_9) | left_apart_point(A39_1318_9, reverse_line(L40_1318_9)))
% 293.42/42.91
% 293.42/42.91 [19244] ALPHA_NOT_OR : ~(left_apart_point(A39_1318_9, L40_1318_9) | left_apart_point(A39_1318_9, reverse_line(L40_1318_9)))
% 293.42/42.91 -> [19245] ~left_apart_point(A39_1318_9, L40_1318_9), ~left_apart_point(A39_1318_9, reverse_line(L40_1318_9))
% 293.42/42.91
% 293.42/42.91 [19245] CLOSURE : ~left_apart_point(A39_1318_9, L40_1318_9)
% 293.42/42.91
% 293.42/42.91 [19031] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [19356] ~(left_apart_point(A39_1336_9, L40_1336_9) | left_apart_point(A39_1336_9, reverse_line(L40_1336_9)))
% 293.42/42.91
% 293.42/42.91 [19356] ALPHA_NOT_OR : ~(left_apart_point(A39_1336_9, L40_1336_9) | left_apart_point(A39_1336_9, reverse_line(L40_1336_9)))
% 293.42/42.91 -> [19357] ~left_apart_point(A39_1336_9, L40_1336_9), ~left_apart_point(A39_1336_9, reverse_line(L40_1336_9))
% 293.42/42.91
% 293.42/42.91 [19357] CLOSURE : ~left_apart_point(A39_1336_9, L40_1336_9)
% 293.42/42.91
% 293.42/42.91 [19022] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_677_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_677_8)))
% 293.42/42.91 -> [19117] ~unequally_directed_lines(skolem_N7979, M38_677_8)
% 293.42/42.91 -> [19118] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_677_8))
% 293.42/42.91
% 293.42/42.91 [19118] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_677_8))
% 293.42/42.91
% 293.42/42.91 [19117] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_677_8)
% 293.42/42.91
% 293.42/42.91 [2114] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.91 -> [2199] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.91
% 293.42/42.91 [2199] 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))))
% 293.42/42.91 -> [2304] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.91
% 293.42/42.91 [2304] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.91 -> [2305] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.91 -> [2306] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.91
% 293.42/42.91 [2305] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.91
% 293.42/42.91 [2306] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.91 -> [4767] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.91 -> [4768] distinct_points(skolem_A8080, skolem_B8181)
% 293.42/42.91
% 293.42/42.91 [4767] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.91
% 293.42/42.91 [4768] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.91 -> [4800] ~distinct_lines(N27_126_3, N27_126_3)
% 293.42/42.91
% 293.42/42.91 [4800] 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))))
% 293.42/42.91 -> [4801] (distinct_lines(N27_126_3, N27_126_3) => (distinct_lines(N27_126_3, N27_126_3) | distinct_lines(N27_126_3, N27_126_3)))
% 293.42/42.91
% 293.42/42.91 [4801] BETA_IMPLY : (distinct_lines(N27_126_3, N27_126_3) => (distinct_lines(N27_126_3, N27_126_3) | distinct_lines(N27_126_3, N27_126_3)))
% 293.42/42.91 -> [4802] ~distinct_lines(N27_126_3, N27_126_3)
% 293.42/42.91 -> [4803] (distinct_lines(N27_126_3, N27_126_3) | distinct_lines(N27_126_3, N27_126_3))
% 293.42/42.91
% 293.42/42.91 [4803] BETA_OR : (distinct_lines(N27_126_3, N27_126_3) | distinct_lines(N27_126_3, N27_126_3))
% 293.42/42.91 -> [4805] distinct_lines(N27_126_3, N27_126_3)
% 293.42/42.91 -> [4806] distinct_lines(N27_126_3, N27_126_3)
% 293.42/42.91
% 293.42/42.91 [4806] CLOSURE : distinct_lines(N27_126_3, N27_126_3)
% 293.42/42.91
% 293.42/42.91 [4805] CLOSURE : distinct_lines(N27_126_3, N27_126_3)
% 293.42/42.91
% 293.42/42.91 [4802] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.91 -> [4812] ~unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91
% 293.42/42.91 [4812] 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))))
% 293.42/42.91 -> [4820] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.91
% 293.42/42.91 [4820] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.91 -> [4821] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91 -> [4822] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.91
% 293.42/42.91 [4821] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91
% 293.42/42.91 [4822] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.91 -> [8718] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91 -> [8719] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91
% 293.42/42.91 [8719] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91
% 293.42/42.91 [8718] 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))))))
% 293.42/42.91 -> [12925] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_188_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_188_6))) | (unequally_directed_lines(skolem_N7979, N34_188_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_188_6)))))
% 293.42/42.91
% 293.42/42.91 [12925] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_188_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_188_6))) | (unequally_directed_lines(skolem_N7979, N34_188_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_188_6)))))
% 293.42/42.91 -> [12926] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.91 -> [12927] ((unequally_directed_lines(skolem_M7878, N34_188_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_188_6))) | (unequally_directed_lines(skolem_N7979, N34_188_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_188_6))))
% 293.42/42.91
% 293.42/42.91 [12926] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.91 -> [12950] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.91 -> [12951] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [12951] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [12950] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.91
% 293.42/42.91 [12927] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_188_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_188_6))) | (unequally_directed_lines(skolem_N7979, N34_188_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_188_6))))
% 293.42/42.91 -> [19409] (unequally_directed_lines(skolem_M7878, N34_188_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_188_6)))
% 293.42/42.91 -> [19410] (unequally_directed_lines(skolem_N7979, N34_188_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_188_6)))
% 293.42/42.91
% 293.42/42.91 [19410] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_188_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_188_6)))
% 293.42/42.91 -> [19414] unequally_directed_lines(skolem_N7979, N34_188_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_188_6))
% 293.42/42.91
% 293.42/42.91 [19414] 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)))))
% 293.42/42.91 -> [19446] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.91
% 293.42/42.91 [19446] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.91 -> [19447] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.91 -> [19448] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.91
% 293.42/42.91 [19448] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.91 -> [19451] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91 -> [19452] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.91
% 293.42/42.91 [19451] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91
% 293.42/42.91 [19452] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [19531] ((unequally_directed_lines(skolem_N7979, M38_706_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_706_8))) => (left_convergent_lines(skolem_N7979, M38_706_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_706_8))))
% 293.42/42.91
% 293.42/42.91 [19531] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_706_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_706_8))) => (left_convergent_lines(skolem_N7979, M38_706_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_706_8))))
% 293.42/42.91 -> [19532] ~(unequally_directed_lines(skolem_N7979, M38_706_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_706_8)))
% 293.42/42.91 -> [19533] (left_convergent_lines(skolem_N7979, M38_706_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_706_8)))
% 293.42/42.91
% 293.42/42.91 [19532] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_706_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_706_8)))
% 293.42/42.91 -> [19606] ~unequally_directed_lines(skolem_N7979, M38_706_8)
% 293.42/42.91 -> [19607] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_706_8))
% 293.42/42.91
% 293.42/42.91 [19607] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_706_8))
% 293.42/42.91
% 293.42/42.91 [19606] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_706_8)
% 293.42/42.91
% 293.42/42.91 [19533] BETA_OR : (left_convergent_lines(skolem_N7979, M38_706_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_706_8)))
% 293.42/42.91 -> [19539] left_convergent_lines(skolem_N7979, M38_706_8)
% 293.42/42.91 -> [19540] left_convergent_lines(skolem_N7979, reverse_line(M38_706_8))
% 293.42/42.91
% 293.42/42.91 [19539] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [19949] ~(left_apart_point(A39_1409_9, L40_1409_9) | left_apart_point(A39_1409_9, reverse_line(L40_1409_9)))
% 293.42/42.91
% 293.42/42.91 [19949] ALPHA_NOT_OR : ~(left_apart_point(A39_1409_9, L40_1409_9) | left_apart_point(A39_1409_9, reverse_line(L40_1409_9)))
% 293.42/42.91 -> [19950] ~left_apart_point(A39_1409_9, L40_1409_9), ~left_apart_point(A39_1409_9, reverse_line(L40_1409_9))
% 293.42/42.91
% 293.42/42.91 [19950] CLOSURE : ~left_apart_point(A39_1409_9, L40_1409_9)
% 293.42/42.91
% 293.42/42.91 [19540] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [19961] ~(left_apart_point(A39_1411_9, L40_1411_9) | left_apart_point(A39_1411_9, reverse_line(L40_1411_9)))
% 293.42/42.91
% 293.42/42.91 [19961] ALPHA_NOT_OR : ~(left_apart_point(A39_1411_9, L40_1411_9) | left_apart_point(A39_1411_9, reverse_line(L40_1411_9)))
% 293.42/42.91 -> [19962] ~left_apart_point(A39_1411_9, L40_1411_9), ~left_apart_point(A39_1411_9, reverse_line(L40_1411_9))
% 293.42/42.91
% 293.42/42.91 [19962] CLOSURE : ~left_apart_point(A39_1411_9, L40_1411_9)
% 293.42/42.91
% 293.42/42.91 [19447] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.91 -> [19472] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91 -> [19473] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91
% 293.42/42.91 [19472] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [19583] ((unequally_directed_lines(skolem_N7979, M38_713_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_713_8))) => (left_convergent_lines(skolem_N7979, M38_713_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_713_8))))
% 293.42/42.91
% 293.42/42.91 [19583] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_713_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_713_8))) => (left_convergent_lines(skolem_N7979, M38_713_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_713_8))))
% 293.42/42.91 -> [19586] ~(unequally_directed_lines(skolem_N7979, M38_713_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_713_8)))
% 293.42/42.91 -> [19587] (left_convergent_lines(skolem_N7979, M38_713_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_713_8)))
% 293.42/42.91
% 293.42/42.91 [19587] BETA_OR : (left_convergent_lines(skolem_N7979, M38_713_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_713_8)))
% 293.42/42.91 -> [19590] left_convergent_lines(skolem_N7979, M38_713_8)
% 293.42/42.91 -> [19591] left_convergent_lines(skolem_N7979, reverse_line(M38_713_8))
% 293.42/42.91
% 293.42/42.91 [19591] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [19767] ~(left_apart_point(A39_1381_9, L40_1381_9) | left_apart_point(A39_1381_9, reverse_line(L40_1381_9)))
% 293.42/42.91
% 293.42/42.91 [19767] ALPHA_NOT_OR : ~(left_apart_point(A39_1381_9, L40_1381_9) | left_apart_point(A39_1381_9, reverse_line(L40_1381_9)))
% 293.42/42.91 -> [19768] ~left_apart_point(A39_1381_9, L40_1381_9), ~left_apart_point(A39_1381_9, reverse_line(L40_1381_9))
% 293.42/42.91
% 293.42/42.91 [19768] CLOSURE : ~left_apart_point(A39_1381_9, L40_1381_9)
% 293.42/42.91
% 293.42/42.91 [19590] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [20001] ~(left_apart_point(A39_1422_9, L40_1422_9) | left_apart_point(A39_1422_9, reverse_line(L40_1422_9)))
% 293.42/42.91
% 293.42/42.91 [20001] ALPHA_NOT_OR : ~(left_apart_point(A39_1422_9, L40_1422_9) | left_apart_point(A39_1422_9, reverse_line(L40_1422_9)))
% 293.42/42.91 -> [20007] ~left_apart_point(A39_1422_9, L40_1422_9), ~left_apart_point(A39_1422_9, reverse_line(L40_1422_9))
% 293.42/42.91
% 293.42/42.91 [20007] CLOSURE : ~left_apart_point(A39_1422_9, L40_1422_9)
% 293.42/42.91
% 293.42/42.91 [19586] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_713_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_713_8)))
% 293.42/42.91 -> [19657] ~unequally_directed_lines(skolem_N7979, M38_713_8)
% 293.42/42.91 -> [19658] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_713_8))
% 293.42/42.91
% 293.42/42.91 [19658] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_713_8))
% 293.42/42.91
% 293.42/42.91 [19657] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_713_8)
% 293.42/42.91
% 293.42/42.91 [19473] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [19594] ((unequally_directed_lines(skolem_N7979, M38_714_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_714_8))) => (left_convergent_lines(skolem_N7979, M38_714_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_714_8))))
% 293.42/42.91
% 293.42/42.91 [19594] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_714_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_714_8))) => (left_convergent_lines(skolem_N7979, M38_714_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_714_8))))
% 293.42/42.91 -> [19595] ~(unequally_directed_lines(skolem_N7979, M38_714_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_714_8)))
% 293.42/42.91 -> [19596] (left_convergent_lines(skolem_N7979, M38_714_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_714_8)))
% 293.42/42.91
% 293.42/42.91 [19595] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_714_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_714_8)))
% 293.42/42.91 -> [19665] ~unequally_directed_lines(skolem_N7979, M38_714_8)
% 293.42/42.91 -> [19666] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_714_8))
% 293.42/42.91
% 293.42/42.91 [19665] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_714_8)
% 293.42/42.91
% 293.42/42.91 [19666] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_714_8))
% 293.42/42.91
% 293.42/42.91 [19596] BETA_OR : (left_convergent_lines(skolem_N7979, M38_714_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_714_8)))
% 293.42/42.91 -> [19597] left_convergent_lines(skolem_N7979, M38_714_8)
% 293.42/42.91 -> [19598] left_convergent_lines(skolem_N7979, reverse_line(M38_714_8))
% 293.42/42.91
% 293.42/42.91 [19598] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [20702] ~(left_apart_point(A39_1511_9, L40_1511_9) | left_apart_point(A39_1511_9, reverse_line(L40_1511_9)))
% 293.42/42.91
% 293.42/42.91 [20702] ALPHA_NOT_OR : ~(left_apart_point(A39_1511_9, L40_1511_9) | left_apart_point(A39_1511_9, reverse_line(L40_1511_9)))
% 293.42/42.91 -> [20705] ~left_apart_point(A39_1511_9, L40_1511_9), ~left_apart_point(A39_1511_9, reverse_line(L40_1511_9))
% 293.42/42.91
% 293.42/42.91 [20705] CLOSURE : ~left_apart_point(A39_1511_9, L40_1511_9)
% 293.42/42.91
% 293.42/42.91 [19597] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [21314] ~(left_apart_point(A39_1560_9, L40_1560_9) | left_apart_point(A39_1560_9, reverse_line(L40_1560_9)))
% 293.42/42.91
% 293.42/42.91 [21314] ALPHA_NOT_OR : ~(left_apart_point(A39_1560_9, L40_1560_9) | left_apart_point(A39_1560_9, reverse_line(L40_1560_9)))
% 293.42/42.91 -> [21316] ~left_apart_point(A39_1560_9, L40_1560_9), ~left_apart_point(A39_1560_9, reverse_line(L40_1560_9))
% 293.42/42.91
% 293.42/42.91 [21316] CLOSURE : ~left_apart_point(A39_1560_9, L40_1560_9)
% 293.42/42.91
% 293.42/42.91 [19409] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_188_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_188_6)))
% 293.42/42.91 -> [19417] unequally_directed_lines(skolem_M7878, N34_188_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_188_6))
% 293.42/42.91
% 293.42/42.91 [19417] 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)))))
% 293.42/42.91 -> [19458] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.91
% 293.42/42.91 [19458] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.91 -> [19460] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.91 -> [19461] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.91
% 293.42/42.91 [19461] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.91 -> [19465] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91 -> [19466] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.91
% 293.42/42.91 [19465] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91
% 293.42/42.91 [19466] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [19564] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.91
% 293.42/42.91 [19564] 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))))
% 293.42/42.91 -> [19565] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [19566] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91
% 293.42/42.91 [19566] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [19575] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91 -> [19576] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [19576] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [19758] ~(left_apart_point(A39_1378_9, L40_1378_9) | left_apart_point(A39_1378_9, reverse_line(L40_1378_9)))
% 293.42/42.91
% 293.42/42.91 [19758] ALPHA_NOT_OR : ~(left_apart_point(A39_1378_9, L40_1378_9) | left_apart_point(A39_1378_9, reverse_line(L40_1378_9)))
% 293.42/42.91 -> [19760] ~left_apart_point(A39_1378_9, L40_1378_9), ~left_apart_point(A39_1378_9, reverse_line(L40_1378_9))
% 293.42/42.91
% 293.42/42.91 [19760] CLOSURE : ~left_apart_point(A39_1378_9, L40_1378_9)
% 293.42/42.91
% 293.42/42.91 [19575] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [20010] ~(left_apart_point(A39_1424_9, L40_1424_9) | left_apart_point(A39_1424_9, reverse_line(L40_1424_9)))
% 293.42/42.91
% 293.42/42.91 [20010] ALPHA_NOT_OR : ~(left_apart_point(A39_1424_9, L40_1424_9) | left_apart_point(A39_1424_9, reverse_line(L40_1424_9)))
% 293.42/42.91 -> [20013] ~left_apart_point(A39_1424_9, L40_1424_9), ~left_apart_point(A39_1424_9, reverse_line(L40_1424_9))
% 293.42/42.91
% 293.42/42.91 [20013] CLOSURE : ~left_apart_point(A39_1424_9, L40_1424_9)
% 293.42/42.91
% 293.42/42.91 [19565] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [19649] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91 -> [19650] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [19649] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [19650] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [19460] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.91 -> [19481] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91 -> [19482] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.91
% 293.42/42.91 [19482] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [19550] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.91
% 293.42/42.91 [19550] 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))))
% 293.42/42.91 -> [19551] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [19552] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91
% 293.42/42.91 [19551] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [19637] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91 -> [19638] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [19638] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [19637] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [19552] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [19554] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91 -> [19555] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [19554] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [19998] ~(left_apart_point(A39_1420_9, L40_1420_9) | left_apart_point(A39_1420_9, reverse_line(L40_1420_9)))
% 293.42/42.91
% 293.42/42.91 [19998] ALPHA_NOT_OR : ~(left_apart_point(A39_1420_9, L40_1420_9) | left_apart_point(A39_1420_9, reverse_line(L40_1420_9)))
% 293.42/42.91 -> [19999] ~left_apart_point(A39_1420_9, L40_1420_9), ~left_apart_point(A39_1420_9, reverse_line(L40_1420_9))
% 293.42/42.91
% 293.42/42.91 [19999] CLOSURE : ~left_apart_point(A39_1420_9, L40_1420_9)
% 293.42/42.91
% 293.42/42.91 [19555] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [19749] ~(left_apart_point(A39_1375_9, L40_1375_9) | left_apart_point(A39_1375_9, reverse_line(L40_1375_9)))
% 293.42/42.91
% 293.42/42.91 [19749] ALPHA_NOT_OR : ~(left_apart_point(A39_1375_9, L40_1375_9) | left_apart_point(A39_1375_9, reverse_line(L40_1375_9)))
% 293.42/42.91 -> [19752] ~left_apart_point(A39_1375_9, L40_1375_9), ~left_apart_point(A39_1375_9, reverse_line(L40_1375_9))
% 293.42/42.91
% 293.42/42.91 [19752] CLOSURE : ~left_apart_point(A39_1375_9, L40_1375_9)
% 293.42/42.91
% 293.42/42.91 [19481] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [19617] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.91
% 293.42/42.91 [19617] 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))))
% 293.42/42.91 -> [19620] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [19621] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91
% 293.42/42.91 [19621] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [19626] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91 -> [19627] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [19627] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [20003] ~(left_apart_point(A39_1423_9, L40_1423_9) | left_apart_point(A39_1423_9, reverse_line(L40_1423_9)))
% 293.42/42.91
% 293.42/42.91 [20003] ALPHA_NOT_OR : ~(left_apart_point(A39_1423_9, L40_1423_9) | left_apart_point(A39_1423_9, reverse_line(L40_1423_9)))
% 293.42/42.91 -> [20006] ~left_apart_point(A39_1423_9, L40_1423_9), ~left_apart_point(A39_1423_9, reverse_line(L40_1423_9))
% 293.42/42.91
% 293.42/42.91 [20006] CLOSURE : ~left_apart_point(A39_1423_9, L40_1423_9)
% 293.42/42.91
% 293.42/42.91 [19626] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [20011] ~(left_apart_point(A39_1425_9, L40_1425_9) | left_apart_point(A39_1425_9, reverse_line(L40_1425_9)))
% 293.42/42.91
% 293.42/42.91 [20011] ALPHA_NOT_OR : ~(left_apart_point(A39_1425_9, L40_1425_9) | left_apart_point(A39_1425_9, reverse_line(L40_1425_9)))
% 293.42/42.91 -> [20012] ~left_apart_point(A39_1425_9, L40_1425_9), ~left_apart_point(A39_1425_9, reverse_line(L40_1425_9))
% 293.42/42.91
% 293.42/42.91 [20012] CLOSURE : ~left_apart_point(A39_1425_9, L40_1425_9)
% 293.42/42.91
% 293.42/42.91 [19620] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [19686] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91 -> [19687] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [19686] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [19687] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [182] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.42/42.91 -> [201] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.91 -> [202] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.91
% 293.42/42.91 [201] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.42/42.91 -> [264] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.91 -> [265] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.91
% 293.42/42.91 [265] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.91 -> [274] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.91
% 293.42/42.91 [274] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.91 -> [282] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))
% 293.42/42.91 -> [283] ~~(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)))
% 293.42/42.91
% 293.42/42.91 [282] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.91 -> [457] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.42/42.91 -> [458] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [458] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.91 -> [1172] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.91
% 293.42/42.91 [1172] 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))))
% 293.42/42.91 -> [1701] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.91
% 293.42/42.91 [1701] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.91 -> [1707] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.91 -> [1708] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.91
% 293.42/42.91 [1707] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.91
% 293.42/42.91 [1708] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.91 -> [4842] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.91 -> [4843] distinct_points(skolem_A8080, skolem_B8181)
% 293.42/42.91
% 293.42/42.91 [4842] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.91
% 293.42/42.91 [4843] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.91 -> [5882] ~distinct_lines(N27_176_3, N27_176_3)
% 293.42/42.91
% 293.42/42.91 [5882] 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))))
% 293.42/42.91 -> [5973] (distinct_lines(N27_176_3, N27_176_3) => (distinct_lines(N27_176_3, N27_176_3) | distinct_lines(N27_176_3, N27_176_3)))
% 293.42/42.91
% 293.42/42.91 [5973] BETA_IMPLY : (distinct_lines(N27_176_3, N27_176_3) => (distinct_lines(N27_176_3, N27_176_3) | distinct_lines(N27_176_3, N27_176_3)))
% 293.42/42.91 -> [5974] ~distinct_lines(N27_176_3, N27_176_3)
% 293.42/42.91 -> [5975] (distinct_lines(N27_176_3, N27_176_3) | distinct_lines(N27_176_3, N27_176_3))
% 293.42/42.91
% 293.42/42.91 [5975] BETA_OR : (distinct_lines(N27_176_3, N27_176_3) | distinct_lines(N27_176_3, N27_176_3))
% 293.42/42.91 -> [5977] distinct_lines(N27_176_3, N27_176_3)
% 293.42/42.91 -> [5978] distinct_lines(N27_176_3, N27_176_3)
% 293.42/42.91
% 293.42/42.91 [5978] CLOSURE : distinct_lines(N27_176_3, N27_176_3)
% 293.42/42.91
% 293.42/42.91 [5977] CLOSURE : distinct_lines(N27_176_3, N27_176_3)
% 293.42/42.91
% 293.42/42.91 [5974] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.91 -> [6185] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [6185] 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))))
% 293.42/42.91 -> [6412] (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)))
% 293.42/42.91
% 293.42/42.91 [6412] 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)))
% 293.42/42.91 -> [6415] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91 -> [6416] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [6415] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [6416] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.91 -> [9963] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.91 -> [9964] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [9963] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [9964] 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))))))
% 293.42/42.91 -> [11800] ((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)))))
% 293.42/42.91
% 293.42/42.91 [11800] 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)))))
% 293.42/42.91 -> [11802] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.91 -> [11803] ((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))))
% 293.42/42.91
% 293.42/42.91 [11802] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.91 -> [11931] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.91 -> [11932] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [11932] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [11931] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.91
% 293.42/42.91 [11803] 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))))
% 293.42/42.91 -> [22499] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [22500] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.91
% 293.42/42.91 [22499] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [22751] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [22751] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [22500] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [22503] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [22503] 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)))))
% 293.42/42.91 -> [22586] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.91
% 293.42/42.91 [22586] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.91 -> [22589] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.91 -> [22590] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.91
% 293.42/42.91 [22590] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [22593] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.91 -> [22594] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [22593] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [22594] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [22797] ((unequally_directed_lines(skolem_N7979, M38_914_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_914_8))) => (left_convergent_lines(skolem_N7979, M38_914_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_914_8))))
% 293.42/42.91
% 293.42/42.91 [22797] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_914_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_914_8))) => (left_convergent_lines(skolem_N7979, M38_914_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_914_8))))
% 293.42/42.91 -> [22798] ~(unequally_directed_lines(skolem_N7979, M38_914_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_914_8)))
% 293.42/42.91 -> [22799] (left_convergent_lines(skolem_N7979, M38_914_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_914_8)))
% 293.42/42.91
% 293.42/42.91 [22799] BETA_OR : (left_convergent_lines(skolem_N7979, M38_914_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_914_8)))
% 293.42/42.91 -> [22802] left_convergent_lines(skolem_N7979, M38_914_8)
% 293.42/42.91 -> [22803] left_convergent_lines(skolem_N7979, reverse_line(M38_914_8))
% 293.42/42.91
% 293.42/42.91 [22803] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [24797] ~(left_apart_point(A39_2086_9, L40_2086_9) | left_apart_point(A39_2086_9, reverse_line(L40_2086_9)))
% 293.42/42.91
% 293.42/42.91 [24797] ALPHA_NOT_OR : ~(left_apart_point(A39_2086_9, L40_2086_9) | left_apart_point(A39_2086_9, reverse_line(L40_2086_9)))
% 293.42/42.91 -> [24799] ~left_apart_point(A39_2086_9, L40_2086_9), ~left_apart_point(A39_2086_9, reverse_line(L40_2086_9))
% 293.42/42.91
% 293.42/42.91 [24799] CLOSURE : ~left_apart_point(A39_2086_9, L40_2086_9)
% 293.42/42.91
% 293.42/42.91 [22802] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [25583] ~(left_apart_point(A39_2194_9, L40_2194_9) | left_apart_point(A39_2194_9, reverse_line(L40_2194_9)))
% 293.42/42.91
% 293.42/42.91 [25583] ALPHA_NOT_OR : ~(left_apart_point(A39_2194_9, L40_2194_9) | left_apart_point(A39_2194_9, reverse_line(L40_2194_9)))
% 293.42/42.91 -> [25587] ~left_apart_point(A39_2194_9, L40_2194_9), ~left_apart_point(A39_2194_9, reverse_line(L40_2194_9))
% 293.42/42.91
% 293.42/42.91 [25587] CLOSURE : ~left_apart_point(A39_2194_9, L40_2194_9)
% 293.42/42.91
% 293.42/42.91 [22798] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_914_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_914_8)))
% 293.42/42.91 -> [24612] ~unequally_directed_lines(skolem_N7979, M38_914_8)
% 293.42/42.91 -> [24613] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_914_8))
% 293.42/42.91
% 293.42/42.91 [24613] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_914_8))
% 293.42/42.91
% 293.42/42.91 [24612] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_914_8)
% 293.42/42.91
% 293.42/42.91 [22589] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.91 -> [22629] ~line(skolem_M7878)
% 293.42/42.91 -> [22630] ~line(skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [22630] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [22789] ((unequally_directed_lines(skolem_N7979, M38_913_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_913_8))) => (left_convergent_lines(skolem_N7979, M38_913_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_913_8))))
% 293.42/42.91
% 293.42/42.91 [22789] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_913_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_913_8))) => (left_convergent_lines(skolem_N7979, M38_913_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_913_8))))
% 293.42/42.91 -> [22791] ~(unequally_directed_lines(skolem_N7979, M38_913_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_913_8)))
% 293.42/42.91 -> [22792] (left_convergent_lines(skolem_N7979, M38_913_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_913_8)))
% 293.42/42.91
% 293.42/42.91 [22791] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_913_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_913_8)))
% 293.42/42.91 -> [24429] ~unequally_directed_lines(skolem_N7979, M38_913_8)
% 293.42/42.91 -> [24430] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_913_8))
% 293.42/42.91
% 293.42/42.91 [24430] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_913_8))
% 293.42/42.91
% 293.42/42.91 [24429] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_913_8)
% 293.42/42.91
% 293.42/42.91 [22792] BETA_OR : (left_convergent_lines(skolem_N7979, M38_913_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_913_8)))
% 293.42/42.91 -> [22795] left_convergent_lines(skolem_N7979, M38_913_8)
% 293.42/42.91 -> [22796] left_convergent_lines(skolem_N7979, reverse_line(M38_913_8))
% 293.42/42.91
% 293.42/42.91 [22795] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [24557] ~(left_apart_point(A39_2044_9, L40_2044_9) | left_apart_point(A39_2044_9, reverse_line(L40_2044_9)))
% 293.42/42.91
% 293.42/42.91 [24557] ALPHA_NOT_OR : ~(left_apart_point(A39_2044_9, L40_2044_9) | left_apart_point(A39_2044_9, reverse_line(L40_2044_9)))
% 293.42/42.91 -> [24558] ~left_apart_point(A39_2044_9, L40_2044_9), ~left_apart_point(A39_2044_9, reverse_line(L40_2044_9))
% 293.42/42.91
% 293.42/42.91 [24558] CLOSURE : ~left_apart_point(A39_2044_9, L40_2044_9)
% 293.42/42.91
% 293.42/42.91 [22796] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [24701] ~(left_apart_point(A39_2064_9, L40_2064_9) | left_apart_point(A39_2064_9, reverse_line(L40_2064_9)))
% 293.42/42.91
% 293.42/42.91 [24701] ALPHA_NOT_OR : ~(left_apart_point(A39_2064_9, L40_2064_9) | left_apart_point(A39_2064_9, reverse_line(L40_2064_9)))
% 293.42/42.91 -> [24703] ~left_apart_point(A39_2064_9, L40_2064_9), ~left_apart_point(A39_2064_9, reverse_line(L40_2064_9))
% 293.42/42.91
% 293.42/42.91 [24703] CLOSURE : ~left_apart_point(A39_2064_9, L40_2064_9)
% 293.42/42.91
% 293.42/42.91 [22629] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [24483] ((unequally_directed_lines(skolem_N7979, M38_1036_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1036_8))) => (left_convergent_lines(skolem_N7979, M38_1036_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1036_8))))
% 293.42/42.91
% 293.42/42.91 [24483] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1036_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1036_8))) => (left_convergent_lines(skolem_N7979, M38_1036_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1036_8))))
% 293.42/42.91 -> [24488] ~(unequally_directed_lines(skolem_N7979, M38_1036_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1036_8)))
% 293.42/42.91 -> [24489] (left_convergent_lines(skolem_N7979, M38_1036_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1036_8)))
% 293.42/42.91
% 293.42/42.91 [24489] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1036_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1036_8)))
% 293.42/42.91 -> [24494] left_convergent_lines(skolem_N7979, M38_1036_8)
% 293.42/42.91 -> [24495] left_convergent_lines(skolem_N7979, reverse_line(M38_1036_8))
% 293.42/42.91
% 293.42/42.91 [24495] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [24720] ~(left_apart_point(A39_2068_9, L40_2068_9) | left_apart_point(A39_2068_9, reverse_line(L40_2068_9)))
% 293.42/42.91
% 293.42/42.91 [24720] ALPHA_NOT_OR : ~(left_apart_point(A39_2068_9, L40_2068_9) | left_apart_point(A39_2068_9, reverse_line(L40_2068_9)))
% 293.42/42.91 -> [24721] ~left_apart_point(A39_2068_9, L40_2068_9), ~left_apart_point(A39_2068_9, reverse_line(L40_2068_9))
% 293.42/42.91
% 293.42/42.91 [24721] CLOSURE : ~left_apart_point(A39_2068_9, L40_2068_9)
% 293.42/42.91
% 293.42/42.91 [24494] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [24716] ~(left_apart_point(A39_2067_9, L40_2067_9) | left_apart_point(A39_2067_9, reverse_line(L40_2067_9)))
% 293.42/42.91
% 293.42/42.91 [24716] ALPHA_NOT_OR : ~(left_apart_point(A39_2067_9, L40_2067_9) | left_apart_point(A39_2067_9, reverse_line(L40_2067_9)))
% 293.42/42.91 -> [24717] ~left_apart_point(A39_2067_9, L40_2067_9), ~left_apart_point(A39_2067_9, reverse_line(L40_2067_9))
% 293.42/42.91
% 293.42/42.91 [24717] CLOSURE : ~left_apart_point(A39_2067_9, L40_2067_9)
% 293.42/42.91
% 293.42/42.91 [24488] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1036_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1036_8)))
% 293.42/42.91 -> [24551] ~unequally_directed_lines(skolem_N7979, M38_1036_8)
% 293.42/42.91 -> [24552] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1036_8))
% 293.42/42.91
% 293.42/42.91 [24552] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1036_8))
% 293.42/42.91
% 293.42/42.91 [24551] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1036_8)
% 293.42/42.91
% 293.42/42.91 [457] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.91 -> [1116] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.91
% 293.42/42.91 [1116] 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))))
% 293.42/42.91 -> [3036] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.91
% 293.42/42.91 [3036] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.91 -> [3037] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.91 -> [3038] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.91
% 293.42/42.91 [3037] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.91
% 293.42/42.91 [3038] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.91 -> [5297] distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.91 -> [5298] distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.91
% 293.42/42.91 [5298] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.91
% 293.42/42.91 [5297] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.91 -> [5895] ~distinct_lines(N27_183_3, N27_183_3)
% 293.42/42.91
% 293.42/42.91 [5895] 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))))
% 293.42/42.91 -> [6036] (distinct_lines(N27_183_3, N27_183_3) => (distinct_lines(N27_183_3, N27_183_3) | distinct_lines(N27_183_3, N27_183_3)))
% 293.42/42.91
% 293.42/42.91 [6036] BETA_IMPLY : (distinct_lines(N27_183_3, N27_183_3) => (distinct_lines(N27_183_3, N27_183_3) | distinct_lines(N27_183_3, N27_183_3)))
% 293.42/42.91 -> [6037] ~distinct_lines(N27_183_3, N27_183_3)
% 293.42/42.91 -> [6038] (distinct_lines(N27_183_3, N27_183_3) | distinct_lines(N27_183_3, N27_183_3))
% 293.42/42.91
% 293.42/42.91 [6038] BETA_OR : (distinct_lines(N27_183_3, N27_183_3) | distinct_lines(N27_183_3, N27_183_3))
% 293.42/42.91 -> [6040] distinct_lines(N27_183_3, N27_183_3)
% 293.42/42.91 -> [6041] distinct_lines(N27_183_3, N27_183_3)
% 293.42/42.91
% 293.42/42.91 [6040] CLOSURE : distinct_lines(N27_183_3, N27_183_3)
% 293.42/42.91
% 293.42/42.91 [6041] CLOSURE : distinct_lines(N27_183_3, N27_183_3)
% 293.42/42.91
% 293.42/42.91 [6037] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.91 -> [6256] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [6256] 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))))
% 293.42/42.91 -> [6462] (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))))
% 293.42/42.91
% 293.42/42.91 [6462] 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))))
% 293.42/42.91 -> [6466] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91 -> [6467] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.91
% 293.42/42.91 [6466] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [6467] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.91 -> [11644] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91 -> [11645] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [11645] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [11644] 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))))))
% 293.42/42.91 -> [16365] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_226_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_226_6))) | (unequally_directed_lines(skolem_N7979, N34_226_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_226_6)))))
% 293.42/42.91
% 293.42/42.91 [16365] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_226_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_226_6))) | (unequally_directed_lines(skolem_N7979, N34_226_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_226_6)))))
% 293.42/42.91 -> [16367] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.91 -> [16368] ((unequally_directed_lines(skolem_M7878, N34_226_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_226_6))) | (unequally_directed_lines(skolem_N7979, N34_226_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_226_6))))
% 293.42/42.91
% 293.42/42.91 [16367] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.91 -> [16466] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.91 -> [16467] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [16467] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [16466] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.91
% 293.42/42.91 [16368] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_226_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_226_6))) | (unequally_directed_lines(skolem_N7979, N34_226_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_226_6))))
% 293.42/42.91 -> [23609] (unequally_directed_lines(skolem_M7878, N34_226_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_226_6)))
% 293.42/42.91 -> [23610] (unequally_directed_lines(skolem_N7979, N34_226_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_226_6)))
% 293.42/42.91
% 293.42/42.91 [23610] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_226_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_226_6)))
% 293.42/42.91 -> [23613] unequally_directed_lines(skolem_N7979, N34_226_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_226_6))
% 293.42/42.91
% 293.42/42.91 [23613] 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)))))
% 293.42/42.91 -> [25281] ((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)))))
% 293.42/42.91
% 293.42/42.91 [25281] 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)))))
% 293.42/42.91 -> [25282] ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.91 -> [25283] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))
% 293.42/42.91
% 293.42/42.91 [25283] 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))))
% 293.42/42.91 -> [25290] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.91 -> [25291] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.91
% 293.42/42.91 [25290] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.91
% 293.42/42.91 [25291] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [25663] ((unequally_directed_lines(skolem_N7979, M38_1120_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1120_8))) => (left_convergent_lines(skolem_N7979, M38_1120_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1120_8))))
% 293.42/42.91
% 293.42/42.91 [25663] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1120_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1120_8))) => (left_convergent_lines(skolem_N7979, M38_1120_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1120_8))))
% 293.42/42.91 -> [25664] ~(unequally_directed_lines(skolem_N7979, M38_1120_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1120_8)))
% 293.42/42.91 -> [25665] (left_convergent_lines(skolem_N7979, M38_1120_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1120_8)))
% 293.42/42.91
% 293.42/42.91 [25665] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1120_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1120_8)))
% 293.42/42.91 -> [25668] left_convergent_lines(skolem_N7979, M38_1120_8)
% 293.42/42.91 -> [25669] left_convergent_lines(skolem_N7979, reverse_line(M38_1120_8))
% 293.42/42.91
% 293.42/42.91 [25669] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [25698] ~(left_apart_point(A39_2217_9, L40_2217_9) | left_apart_point(A39_2217_9, reverse_line(L40_2217_9)))
% 293.42/42.91
% 293.42/42.91 [25698] ALPHA_NOT_OR : ~(left_apart_point(A39_2217_9, L40_2217_9) | left_apart_point(A39_2217_9, reverse_line(L40_2217_9)))
% 293.42/42.91 -> [25701] ~left_apart_point(A39_2217_9, L40_2217_9), ~left_apart_point(A39_2217_9, reverse_line(L40_2217_9))
% 293.42/42.91
% 293.42/42.91 [25701] CLOSURE : ~left_apart_point(A39_2217_9, L40_2217_9)
% 293.42/42.91
% 293.42/42.91 [25668] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [25705] ~(left_apart_point(A39_2219_9, L40_2219_9) | left_apart_point(A39_2219_9, reverse_line(L40_2219_9)))
% 293.42/42.91
% 293.42/42.91 [25705] ALPHA_NOT_OR : ~(left_apart_point(A39_2219_9, L40_2219_9) | left_apart_point(A39_2219_9, reverse_line(L40_2219_9)))
% 293.42/42.91 -> [25707] ~left_apart_point(A39_2219_9, L40_2219_9), ~left_apart_point(A39_2219_9, reverse_line(L40_2219_9))
% 293.42/42.91
% 293.42/42.91 [25707] CLOSURE : ~left_apart_point(A39_2219_9, L40_2219_9)
% 293.42/42.91
% 293.42/42.91 [25664] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1120_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1120_8)))
% 293.42/42.91 -> [25671] ~unequally_directed_lines(skolem_N7979, M38_1120_8)
% 293.42/42.91 -> [25672] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1120_8))
% 293.42/42.91
% 293.42/42.91 [25672] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1120_8))
% 293.42/42.91
% 293.42/42.91 [25671] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1120_8)
% 293.42/42.91
% 293.42/42.91 [25282] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.91 -> [25305] ~line(skolem_L7777)
% 293.42/42.91 -> [25306] ~line(line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.91
% 293.42/42.91 [25305] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [25371] ((unequally_directed_lines(skolem_N7979, M38_1100_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1100_8))) => (left_convergent_lines(skolem_N7979, M38_1100_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1100_8))))
% 293.42/42.91
% 293.42/42.91 [25371] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1100_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1100_8))) => (left_convergent_lines(skolem_N7979, M38_1100_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1100_8))))
% 293.42/42.91 -> [25372] ~(unequally_directed_lines(skolem_N7979, M38_1100_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1100_8)))
% 293.42/42.91 -> [25373] (left_convergent_lines(skolem_N7979, M38_1100_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1100_8)))
% 293.42/42.91
% 293.42/42.91 [25372] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1100_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1100_8)))
% 293.42/42.91 -> [25423] ~unequally_directed_lines(skolem_N7979, M38_1100_8)
% 293.42/42.91 -> [25424] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1100_8))
% 293.42/42.91
% 293.42/42.91 [25424] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1100_8))
% 293.42/42.91
% 293.42/42.91 [25423] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1100_8)
% 293.42/42.91
% 293.42/42.91 [25373] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1100_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1100_8)))
% 293.42/42.91 -> [25374] left_convergent_lines(skolem_N7979, M38_1100_8)
% 293.42/42.91 -> [25375] left_convergent_lines(skolem_N7979, reverse_line(M38_1100_8))
% 293.42/42.91
% 293.42/42.91 [25374] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [25507] ~(left_apart_point(A39_2183_9, L40_2183_9) | left_apart_point(A39_2183_9, reverse_line(L40_2183_9)))
% 293.42/42.91
% 293.42/42.91 [25507] ALPHA_NOT_OR : ~(left_apart_point(A39_2183_9, L40_2183_9) | left_apart_point(A39_2183_9, reverse_line(L40_2183_9)))
% 293.42/42.91 -> [25510] ~left_apart_point(A39_2183_9, L40_2183_9), ~left_apart_point(A39_2183_9, reverse_line(L40_2183_9))
% 293.42/42.91
% 293.42/42.91 [25510] CLOSURE : ~left_apart_point(A39_2183_9, L40_2183_9)
% 293.42/42.91
% 293.42/42.91 [25375] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [25618] ~(left_apart_point(A39_2206_9, L40_2206_9) | left_apart_point(A39_2206_9, reverse_line(L40_2206_9)))
% 293.42/42.91
% 293.42/42.91 [25618] ALPHA_NOT_OR : ~(left_apart_point(A39_2206_9, L40_2206_9) | left_apart_point(A39_2206_9, reverse_line(L40_2206_9)))
% 293.42/42.91 -> [25621] ~left_apart_point(A39_2206_9, L40_2206_9), ~left_apart_point(A39_2206_9, reverse_line(L40_2206_9))
% 293.42/42.91
% 293.42/42.91 [25621] CLOSURE : ~left_apart_point(A39_2206_9, L40_2206_9)
% 293.42/42.91
% 293.42/42.91 [25306] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [25352] ((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))))
% 293.42/42.91
% 293.42/42.91 [25352] 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))))
% 293.42/42.91 -> [25355] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.91 -> [25356] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.91
% 293.42/42.91 [25355] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.91 -> [25379] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.91 -> [25380] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [25379] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.91
% 293.42/42.91 [25380] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [25356] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.91 -> [25358] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.91 -> [25359] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [25358] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [25795] ~(left_apart_point(A39_2230_9, L40_2230_9) | left_apart_point(A39_2230_9, reverse_line(L40_2230_9)))
% 293.42/42.91
% 293.42/42.91 [25795] ALPHA_NOT_OR : ~(left_apart_point(A39_2230_9, L40_2230_9) | left_apart_point(A39_2230_9, reverse_line(L40_2230_9)))
% 293.42/42.91 -> [25797] ~left_apart_point(A39_2230_9, L40_2230_9), ~left_apart_point(A39_2230_9, reverse_line(L40_2230_9))
% 293.42/42.91
% 293.42/42.91 [25797] CLOSURE : ~left_apart_point(A39_2230_9, L40_2230_9)
% 293.42/42.91
% 293.42/42.91 [25359] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [25817] ~(left_apart_point(A39_2234_9, L40_2234_9) | left_apart_point(A39_2234_9, reverse_line(L40_2234_9)))
% 293.42/42.91
% 293.42/42.91 [25817] ALPHA_NOT_OR : ~(left_apart_point(A39_2234_9, L40_2234_9) | left_apart_point(A39_2234_9, reverse_line(L40_2234_9)))
% 293.42/42.91 -> [25818] ~left_apart_point(A39_2234_9, L40_2234_9), ~left_apart_point(A39_2234_9, reverse_line(L40_2234_9))
% 293.42/42.91
% 293.42/42.91 [25818] CLOSURE : ~left_apart_point(A39_2234_9, L40_2234_9)
% 293.42/42.91
% 293.42/42.91 [23609] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_226_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_226_6)))
% 293.42/42.91 -> [23673] unequally_directed_lines(skolem_M7878, N34_226_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_226_6))
% 293.42/42.91
% 293.42/42.91 [23673] 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)))))
% 293.42/42.91 -> [25426] ((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)))))
% 293.42/42.91
% 293.42/42.91 [25426] 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)))))
% 293.42/42.91 -> [25427] ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.91 -> [25428] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))
% 293.42/42.91
% 293.42/42.91 [25428] 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))))
% 293.42/42.91 -> [25431] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.91 -> [25432] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.91
% 293.42/42.91 [25431] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.91
% 293.42/42.91 [25432] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [25456] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.91
% 293.42/42.91 [25456] 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))))
% 293.42/42.91 -> [25460] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [25461] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91
% 293.42/42.91 [25460] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [25480] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91 -> [25481] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [25481] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [25480] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [25461] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [25472] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91 -> [25473] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [25472] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [25490] ~(left_apart_point(A39_2177_9, L40_2177_9) | left_apart_point(A39_2177_9, reverse_line(L40_2177_9)))
% 293.42/42.91
% 293.42/42.91 [25490] ALPHA_NOT_OR : ~(left_apart_point(A39_2177_9, L40_2177_9) | left_apart_point(A39_2177_9, reverse_line(L40_2177_9)))
% 293.42/42.91 -> [25524] ~left_apart_point(A39_2177_9, L40_2177_9), ~left_apart_point(A39_2177_9, reverse_line(L40_2177_9))
% 293.42/42.91
% 293.42/42.91 [25524] CLOSURE : ~left_apart_point(A39_2177_9, L40_2177_9)
% 293.42/42.91
% 293.42/42.91 [25473] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [25488] ~(left_apart_point(A39_2176_9, L40_2176_9) | left_apart_point(A39_2176_9, reverse_line(L40_2176_9)))
% 293.42/42.91
% 293.42/42.91 [25488] ALPHA_NOT_OR : ~(left_apart_point(A39_2176_9, L40_2176_9) | left_apart_point(A39_2176_9, reverse_line(L40_2176_9)))
% 293.42/42.91 -> [25489] ~left_apart_point(A39_2176_9, L40_2176_9), ~left_apart_point(A39_2176_9, reverse_line(L40_2176_9))
% 293.42/42.91
% 293.42/42.91 [25489] CLOSURE : ~left_apart_point(A39_2176_9, L40_2176_9)
% 293.42/42.91
% 293.42/42.91 [25427] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.91 -> [25438] ~line(skolem_L7777)
% 293.42/42.91 -> [25439] ~line(line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.91
% 293.42/42.91 [25439] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [25446] ((unequally_directed_lines(skolem_M7878, M38_1107_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1107_8))) => (left_convergent_lines(skolem_M7878, M38_1107_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1107_8))))
% 293.42/42.91
% 293.42/42.91 [25446] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_1107_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1107_8))) => (left_convergent_lines(skolem_M7878, M38_1107_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1107_8))))
% 293.42/42.91 -> [25447] ~(unequally_directed_lines(skolem_M7878, M38_1107_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1107_8)))
% 293.42/42.91 -> [25448] (left_convergent_lines(skolem_M7878, M38_1107_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1107_8)))
% 293.42/42.91
% 293.42/42.91 [25448] BETA_OR : (left_convergent_lines(skolem_M7878, M38_1107_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1107_8)))
% 293.42/42.91 -> [25449] left_convergent_lines(skolem_M7878, M38_1107_8)
% 293.42/42.91 -> [25450] left_convergent_lines(skolem_M7878, reverse_line(M38_1107_8))
% 293.42/42.91
% 293.42/42.91 [25450] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [25495] ~(left_apart_point(A39_2179_9, L40_2179_9) | left_apart_point(A39_2179_9, reverse_line(L40_2179_9)))
% 293.42/42.91
% 293.42/42.91 [25495] ALPHA_NOT_OR : ~(left_apart_point(A39_2179_9, L40_2179_9) | left_apart_point(A39_2179_9, reverse_line(L40_2179_9)))
% 293.42/42.91 -> [25498] ~left_apart_point(A39_2179_9, L40_2179_9), ~left_apart_point(A39_2179_9, reverse_line(L40_2179_9))
% 293.42/42.91
% 293.42/42.91 [25498] CLOSURE : ~left_apart_point(A39_2179_9, L40_2179_9)
% 293.42/42.91
% 293.42/42.91 [25449] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [25505] ~(left_apart_point(A39_2182_9, L40_2182_9) | left_apart_point(A39_2182_9, reverse_line(L40_2182_9)))
% 293.42/42.91
% 293.42/42.91 [25505] ALPHA_NOT_OR : ~(left_apart_point(A39_2182_9, L40_2182_9) | left_apart_point(A39_2182_9, reverse_line(L40_2182_9)))
% 293.42/42.91 -> [25506] ~left_apart_point(A39_2182_9, L40_2182_9), ~left_apart_point(A39_2182_9, reverse_line(L40_2182_9))
% 293.42/42.91
% 293.42/42.91 [25506] CLOSURE : ~left_apart_point(A39_2182_9, L40_2182_9)
% 293.42/42.91
% 293.42/42.91 [25447] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_1107_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1107_8)))
% 293.42/42.91 -> [25474] ~unequally_directed_lines(skolem_M7878, M38_1107_8)
% 293.42/42.91 -> [25475] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_1107_8))
% 293.42/42.91
% 293.42/42.91 [25474] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_1107_8)
% 293.42/42.91
% 293.42/42.91 [25475] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_1107_8))
% 293.42/42.91
% 293.42/42.91 [25438] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [25452] ((unequally_directed_lines(skolem_M7878, M38_1108_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1108_8))) => (left_convergent_lines(skolem_M7878, M38_1108_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1108_8))))
% 293.42/42.91
% 293.42/42.91 [25452] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_1108_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1108_8))) => (left_convergent_lines(skolem_M7878, M38_1108_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1108_8))))
% 293.42/42.91 -> [25458] ~(unequally_directed_lines(skolem_M7878, M38_1108_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1108_8)))
% 293.42/42.91 -> [25459] (left_convergent_lines(skolem_M7878, M38_1108_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1108_8)))
% 293.42/42.91
% 293.42/42.91 [25459] BETA_OR : (left_convergent_lines(skolem_M7878, M38_1108_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1108_8)))
% 293.42/42.91 -> [25465] left_convergent_lines(skolem_M7878, M38_1108_8)
% 293.42/42.91 -> [25466] left_convergent_lines(skolem_M7878, reverse_line(M38_1108_8))
% 293.42/42.91
% 293.42/42.91 [25465] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [25499] ~(left_apart_point(A39_2181_9, L40_2181_9) | left_apart_point(A39_2181_9, reverse_line(L40_2181_9)))
% 293.42/42.91
% 293.42/42.91 [25499] ALPHA_NOT_OR : ~(left_apart_point(A39_2181_9, L40_2181_9) | left_apart_point(A39_2181_9, reverse_line(L40_2181_9)))
% 293.42/42.91 -> [25503] ~left_apart_point(A39_2181_9, L40_2181_9), ~left_apart_point(A39_2181_9, reverse_line(L40_2181_9))
% 293.42/42.91
% 293.42/42.91 [25503] CLOSURE : ~left_apart_point(A39_2181_9, L40_2181_9)
% 293.42/42.91
% 293.42/42.91 [25466] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [25529] ~(left_apart_point(A39_2187_9, L40_2187_9) | left_apart_point(A39_2187_9, reverse_line(L40_2187_9)))
% 293.42/42.91
% 293.42/42.91 [25529] ALPHA_NOT_OR : ~(left_apart_point(A39_2187_9, L40_2187_9) | left_apart_point(A39_2187_9, reverse_line(L40_2187_9)))
% 293.42/42.91 -> [25532] ~left_apart_point(A39_2187_9, L40_2187_9), ~left_apart_point(A39_2187_9, reverse_line(L40_2187_9))
% 293.42/42.91
% 293.42/42.91 [25532] CLOSURE : ~left_apart_point(A39_2187_9, L40_2187_9)
% 293.42/42.91
% 293.42/42.91 [25458] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_1108_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1108_8)))
% 293.42/42.91 -> [25483] ~unequally_directed_lines(skolem_M7878, M38_1108_8)
% 293.42/42.91 -> [25484] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_1108_8))
% 293.42/42.91
% 293.42/42.91 [25484] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_1108_8))
% 293.42/42.91
% 293.42/42.91 [25483] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_1108_8)
% 293.42/42.91
% 293.42/42.91 [283] 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)))
% 293.42/42.91 -> [292] (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)))
% 293.42/42.91
% 293.42/42.91 [292] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.91 -> [298] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.42/42.91 -> [299] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [299] 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)))
% 293.42/42.91 -> [366] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 293.42/42.91 -> [367] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [366] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.91 -> [569] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.91
% 293.42/42.91 [569] 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))))
% 293.42/42.91 -> [2089] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.91
% 293.42/42.91 [2089] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.91 -> [2093] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.91 -> [2094] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.91
% 293.42/42.91 [2093] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.91
% 293.42/42.91 [2094] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.91 -> [5415] distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.91 -> [5416] distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.91
% 293.42/42.91 [5416] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.91
% 293.42/42.91 [5415] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.91 -> [6455] ~distinct_lines(N27_213_3, N27_213_3)
% 293.42/42.91
% 293.42/42.91 [6455] 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))))
% 293.42/42.91 -> [6733] (distinct_lines(N27_213_3, N27_213_3) => (distinct_lines(N27_213_3, N27_213_3) | distinct_lines(N27_213_3, N27_213_3)))
% 293.42/42.91
% 293.42/42.91 [6733] BETA_IMPLY : (distinct_lines(N27_213_3, N27_213_3) => (distinct_lines(N27_213_3, N27_213_3) | distinct_lines(N27_213_3, N27_213_3)))
% 293.42/42.91 -> [6734] ~distinct_lines(N27_213_3, N27_213_3)
% 293.42/42.91 -> [6735] (distinct_lines(N27_213_3, N27_213_3) | distinct_lines(N27_213_3, N27_213_3))
% 293.42/42.91
% 293.42/42.91 [6735] BETA_OR : (distinct_lines(N27_213_3, N27_213_3) | distinct_lines(N27_213_3, N27_213_3))
% 293.42/42.91 -> [6737] distinct_lines(N27_213_3, N27_213_3)
% 293.42/42.91 -> [6738] distinct_lines(N27_213_3, N27_213_3)
% 293.42/42.91
% 293.42/42.91 [6738] CLOSURE : distinct_lines(N27_213_3, N27_213_3)
% 293.42/42.91
% 293.42/42.91 [6737] CLOSURE : distinct_lines(N27_213_3, N27_213_3)
% 293.42/42.91
% 293.42/42.91 [6734] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.91 -> [7040] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [7040] 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))))
% 293.42/42.91 -> [7090] (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)))
% 293.42/42.91
% 293.42/42.91 [7090] 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)))
% 293.42/42.91 -> [7092] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91 -> [7093] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [7092] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [7093] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.91 -> [8758] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.91 -> [8759] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [8758] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [8759] 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))))))
% 293.42/42.91 -> [11048] ((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)))))
% 293.42/42.91
% 293.42/42.91 [11048] 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)))))
% 293.42/42.91 -> [11053] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.91 -> [11054] ((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))))
% 293.42/42.91
% 293.42/42.91 [11053] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.91 -> [11073] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.91 -> [11074] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [11074] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [11073] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.91
% 293.42/42.91 [11054] 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))))
% 293.42/42.91 -> [18066] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [18067] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.91
% 293.42/42.91 [18066] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [18149] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [18149] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [18067] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [18070] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [18070] 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)))))
% 293.42/42.91 -> [18887] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.91
% 293.42/42.91 [18887] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.91 -> [18890] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.91 -> [18891] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.91
% 293.42/42.91 [18890] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.91 -> [19014] ~line(skolem_M7878)
% 293.42/42.91 -> [19015] ~line(skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [19014] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [19248] ((unequally_directed_lines(skolem_N7979, M38_692_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_692_8))) => (left_convergent_lines(skolem_N7979, M38_692_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_692_8))))
% 293.42/42.91
% 293.42/42.91 [19248] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_692_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_692_8))) => (left_convergent_lines(skolem_N7979, M38_692_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_692_8))))
% 293.42/42.91 -> [19249] ~(unequally_directed_lines(skolem_N7979, M38_692_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_692_8)))
% 293.42/42.91 -> [19250] (left_convergent_lines(skolem_N7979, M38_692_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_692_8)))
% 293.42/42.91
% 293.42/42.91 [19249] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_692_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_692_8)))
% 293.42/42.91 -> [19315] ~unequally_directed_lines(skolem_N7979, M38_692_8)
% 293.42/42.91 -> [19316] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_692_8))
% 293.42/42.91
% 293.42/42.91 [19316] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_692_8))
% 293.42/42.91
% 293.42/42.91 [19315] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_692_8)
% 293.42/42.91
% 293.42/42.91 [19250] BETA_OR : (left_convergent_lines(skolem_N7979, M38_692_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_692_8)))
% 293.42/42.91 -> [19257] left_convergent_lines(skolem_N7979, M38_692_8)
% 293.42/42.91 -> [19258] left_convergent_lines(skolem_N7979, reverse_line(M38_692_8))
% 293.42/42.91
% 293.42/42.91 [19258] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [19424] ~(left_apart_point(A39_1342_9, L40_1342_9) | left_apart_point(A39_1342_9, reverse_line(L40_1342_9)))
% 293.42/42.91
% 293.42/42.91 [19424] ALPHA_NOT_OR : ~(left_apart_point(A39_1342_9, L40_1342_9) | left_apart_point(A39_1342_9, reverse_line(L40_1342_9)))
% 293.42/42.91 -> [19426] ~left_apart_point(A39_1342_9, L40_1342_9), ~left_apart_point(A39_1342_9, reverse_line(L40_1342_9))
% 293.42/42.91
% 293.42/42.91 [19426] CLOSURE : ~left_apart_point(A39_1342_9, L40_1342_9)
% 293.42/42.91
% 293.42/42.91 [19257] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [19471] ~(left_apart_point(A39_1348_9, L40_1348_9) | left_apart_point(A39_1348_9, reverse_line(L40_1348_9)))
% 293.42/42.91
% 293.42/42.91 [19471] ALPHA_NOT_OR : ~(left_apart_point(A39_1348_9, L40_1348_9) | left_apart_point(A39_1348_9, reverse_line(L40_1348_9)))
% 293.42/42.91 -> [19474] ~left_apart_point(A39_1348_9, L40_1348_9), ~left_apart_point(A39_1348_9, reverse_line(L40_1348_9))
% 293.42/42.91
% 293.42/42.91 [19474] CLOSURE : ~left_apart_point(A39_1348_9, L40_1348_9)
% 293.42/42.91
% 293.42/42.91 [19015] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [19223] ((unequally_directed_lines(skolem_N7979, M38_691_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_691_8))) => (left_convergent_lines(skolem_N7979, M38_691_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_691_8))))
% 293.42/42.91
% 293.42/42.91 [19223] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_691_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_691_8))) => (left_convergent_lines(skolem_N7979, M38_691_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_691_8))))
% 293.42/42.91 -> [19225] ~(unequally_directed_lines(skolem_N7979, M38_691_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_691_8)))
% 293.42/42.91 -> [19226] (left_convergent_lines(skolem_N7979, M38_691_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_691_8)))
% 293.42/42.91
% 293.42/42.91 [19225] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_691_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_691_8)))
% 293.42/42.91 -> [19259] ~unequally_directed_lines(skolem_N7979, M38_691_8)
% 293.42/42.91 -> [19260] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_691_8))
% 293.42/42.91
% 293.42/42.91 [19259] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_691_8)
% 293.42/42.91
% 293.42/42.91 [19260] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_691_8))
% 293.42/42.91
% 293.42/42.91 [19226] BETA_OR : (left_convergent_lines(skolem_N7979, M38_691_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_691_8)))
% 293.42/42.91 -> [19229] left_convergent_lines(skolem_N7979, M38_691_8)
% 293.42/42.91 -> [19230] left_convergent_lines(skolem_N7979, reverse_line(M38_691_8))
% 293.42/42.91
% 293.42/42.91 [19229] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [19431] ~(left_apart_point(A39_1343_9, L40_1343_9) | left_apart_point(A39_1343_9, reverse_line(L40_1343_9)))
% 293.42/42.91
% 293.42/42.91 [19431] ALPHA_NOT_OR : ~(left_apart_point(A39_1343_9, L40_1343_9) | left_apart_point(A39_1343_9, reverse_line(L40_1343_9)))
% 293.42/42.91 -> [19435] ~left_apart_point(A39_1343_9, L40_1343_9), ~left_apart_point(A39_1343_9, reverse_line(L40_1343_9))
% 293.42/42.91
% 293.42/42.91 [19435] CLOSURE : ~left_apart_point(A39_1343_9, L40_1343_9)
% 293.42/42.91
% 293.42/42.91 [19230] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [20274] ~(left_apart_point(A39_1451_9, L40_1451_9) | left_apart_point(A39_1451_9, reverse_line(L40_1451_9)))
% 293.42/42.91
% 293.42/42.91 [20274] ALPHA_NOT_OR : ~(left_apart_point(A39_1451_9, L40_1451_9) | left_apart_point(A39_1451_9, reverse_line(L40_1451_9)))
% 293.42/42.91 -> [20275] ~left_apart_point(A39_1451_9, L40_1451_9), ~left_apart_point(A39_1451_9, reverse_line(L40_1451_9))
% 293.42/42.91
% 293.42/42.91 [20275] CLOSURE : ~left_apart_point(A39_1451_9, L40_1451_9)
% 293.42/42.91
% 293.42/42.91 [18891] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [18901] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.91 -> [18902] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [18901] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [18902] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [19266] ((unequally_directed_lines(skolem_N7979, M38_694_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_694_8))) => (left_convergent_lines(skolem_N7979, M38_694_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_694_8))))
% 293.42/42.91
% 293.42/42.91 [19266] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_694_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_694_8))) => (left_convergent_lines(skolem_N7979, M38_694_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_694_8))))
% 293.42/42.91 -> [19269] ~(unequally_directed_lines(skolem_N7979, M38_694_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_694_8)))
% 293.42/42.91 -> [19270] (left_convergent_lines(skolem_N7979, M38_694_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_694_8)))
% 293.42/42.91
% 293.42/42.91 [19270] BETA_OR : (left_convergent_lines(skolem_N7979, M38_694_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_694_8)))
% 293.42/42.91 -> [19277] left_convergent_lines(skolem_N7979, M38_694_8)
% 293.42/42.91 -> [19278] left_convergent_lines(skolem_N7979, reverse_line(M38_694_8))
% 293.42/42.91
% 293.42/42.91 [19278] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [19443] ~(left_apart_point(A39_1345_9, L40_1345_9) | left_apart_point(A39_1345_9, reverse_line(L40_1345_9)))
% 293.42/42.91
% 293.42/42.91 [19443] ALPHA_NOT_OR : ~(left_apart_point(A39_1345_9, L40_1345_9) | left_apart_point(A39_1345_9, reverse_line(L40_1345_9)))
% 293.42/42.91 -> [19444] ~left_apart_point(A39_1345_9, L40_1345_9), ~left_apart_point(A39_1345_9, reverse_line(L40_1345_9))
% 293.42/42.91
% 293.42/42.91 [19444] CLOSURE : ~left_apart_point(A39_1345_9, L40_1345_9)
% 293.42/42.91
% 293.42/42.91 [19277] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [19478] ~(left_apart_point(A39_1351_9, L40_1351_9) | left_apart_point(A39_1351_9, reverse_line(L40_1351_9)))
% 293.42/42.91
% 293.42/42.91 [19478] ALPHA_NOT_OR : ~(left_apart_point(A39_1351_9, L40_1351_9) | left_apart_point(A39_1351_9, reverse_line(L40_1351_9)))
% 293.42/42.91 -> [19480] ~left_apart_point(A39_1351_9, L40_1351_9), ~left_apart_point(A39_1351_9, reverse_line(L40_1351_9))
% 293.42/42.91
% 293.42/42.91 [19480] CLOSURE : ~left_apart_point(A39_1351_9, L40_1351_9)
% 293.42/42.91
% 293.42/42.91 [19269] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_694_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_694_8)))
% 293.42/42.91 -> [19655] ~unequally_directed_lines(skolem_N7979, M38_694_8)
% 293.42/42.91 -> [19656] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_694_8))
% 293.42/42.91
% 293.42/42.91 [19656] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_694_8))
% 293.42/42.91
% 293.42/42.91 [19655] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_694_8)
% 293.42/42.91
% 293.42/42.91 [367] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.91 -> [577] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.91
% 293.42/42.91 [577] 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))))
% 293.42/42.91 -> [1079] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.91
% 293.42/42.91 [1079] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.91 -> [1085] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.91 -> [1086] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.91
% 293.42/42.91 [1085] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.91
% 293.42/42.91 [1086] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.91 -> [2165] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.91 -> [2166] distinct_points(skolem_A8080, skolem_B8181)
% 293.42/42.91
% 293.42/42.91 [2165] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.91
% 293.42/42.91 [2166] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.91 -> [3848] ~distinct_lines(N27_84_3, N27_84_3)
% 293.42/42.91
% 293.42/42.91 [3848] 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))))
% 293.42/42.91 -> [3992] (distinct_lines(N27_84_3, N27_84_3) => (distinct_lines(N27_84_3, N27_84_3) | distinct_lines(N27_84_3, N27_84_3)))
% 293.42/42.91
% 293.42/42.91 [3992] 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)))
% 293.42/42.91 -> [3995] ~distinct_lines(N27_84_3, N27_84_3)
% 293.42/42.91 -> [3996] (distinct_lines(N27_84_3, N27_84_3) | distinct_lines(N27_84_3, N27_84_3))
% 293.42/42.91
% 293.42/42.91 [3996] BETA_OR : (distinct_lines(N27_84_3, N27_84_3) | distinct_lines(N27_84_3, N27_84_3))
% 293.42/42.91 -> [3999] distinct_lines(N27_84_3, N27_84_3)
% 293.42/42.91 -> [4000] distinct_lines(N27_84_3, N27_84_3)
% 293.42/42.91
% 293.42/42.91 [3999] CLOSURE : distinct_lines(N27_84_3, N27_84_3)
% 293.42/42.91
% 293.42/42.91 [4000] CLOSURE : distinct_lines(N27_84_3, N27_84_3)
% 293.42/42.91
% 293.42/42.91 [3995] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.91 -> [4124] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [4124] 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))))
% 293.42/42.91 -> [4200] (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))))
% 293.42/42.91
% 293.42/42.91 [4200] 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))))
% 293.42/42.91 -> [4203] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91 -> [4204] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.91
% 293.42/42.91 [4203] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [4204] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.91 -> [7374] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91 -> [7375] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [7375] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [7374] 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))))))
% 293.42/42.91 -> [8573] ((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)))))
% 293.42/42.91
% 293.42/42.91 [8573] 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)))))
% 293.42/42.91 -> [8576] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.91 -> [8577] ((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))))
% 293.42/42.91
% 293.42/42.91 [8576] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.91 -> [8586] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.91 -> [8587] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [8587] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [8586] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.91
% 293.42/42.91 [8577] 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))))
% 293.42/42.91 -> [16991] (unequally_directed_lines(skolem_M7878, N34_81_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_81_6)))
% 293.42/42.91 -> [16992] (unequally_directed_lines(skolem_N7979, N34_81_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_81_6)))
% 293.42/42.91
% 293.42/42.91 [16991] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_81_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_81_6)))
% 293.42/42.91 -> [17032] unequally_directed_lines(skolem_M7878, N34_81_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_81_6))
% 293.42/42.91
% 293.42/42.91 [17032] 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)))))
% 293.42/42.91 -> [17506] ((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)))))
% 293.42/42.91
% 293.42/42.91 [17506] 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)))))
% 293.42/42.91 -> [17507] ~(line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181)))
% 293.42/42.91 -> [17508] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 293.42/42.91
% 293.42/42.91 [17507] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181)))
% 293.42/42.91 -> [17572] ~line(skolem_L7777)
% 293.42/42.91 -> [17573] ~line(line_connecting(skolem_C8282, skolem_B8181))
% 293.42/42.91
% 293.42/42.91 [17572] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [17852] ((unequally_directed_lines(skolem_M7878, M38_608_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_608_8))) => (left_convergent_lines(skolem_M7878, M38_608_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_608_8))))
% 293.42/42.91
% 293.42/42.91 [17852] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_608_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_608_8))) => (left_convergent_lines(skolem_M7878, M38_608_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_608_8))))
% 293.42/42.91 -> [17854] ~(unequally_directed_lines(skolem_M7878, M38_608_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_608_8)))
% 293.42/42.91 -> [17855] (left_convergent_lines(skolem_M7878, M38_608_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_608_8)))
% 293.42/42.91
% 293.42/42.91 [17854] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_608_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_608_8)))
% 293.42/42.91 -> [18042] ~unequally_directed_lines(skolem_M7878, M38_608_8)
% 293.42/42.91 -> [18043] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_608_8))
% 293.42/42.91
% 293.42/42.91 [18043] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_608_8))
% 293.42/42.91
% 293.42/42.91 [18042] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_608_8)
% 293.42/42.91
% 293.42/42.91 [17855] BETA_OR : (left_convergent_lines(skolem_M7878, M38_608_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_608_8)))
% 293.42/42.91 -> [17862] left_convergent_lines(skolem_M7878, M38_608_8)
% 293.42/42.91 -> [17863] left_convergent_lines(skolem_M7878, reverse_line(M38_608_8))
% 293.42/42.91
% 293.42/42.91 [17863] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [18743] ~(left_apart_point(A39_1254_9, L40_1254_9) | left_apart_point(A39_1254_9, reverse_line(L40_1254_9)))
% 293.42/42.91
% 293.42/42.91 [18743] ALPHA_NOT_OR : ~(left_apart_point(A39_1254_9, L40_1254_9) | left_apart_point(A39_1254_9, reverse_line(L40_1254_9)))
% 293.42/42.91 -> [18745] ~left_apart_point(A39_1254_9, L40_1254_9), ~left_apart_point(A39_1254_9, reverse_line(L40_1254_9))
% 293.42/42.91
% 293.42/42.91 [18745] CLOSURE : ~left_apart_point(A39_1254_9, L40_1254_9)
% 293.42/42.91
% 293.42/42.91 [17862] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [18758] ~(left_apart_point(A39_1256_9, L40_1256_9) | left_apart_point(A39_1256_9, reverse_line(L40_1256_9)))
% 293.42/42.91
% 293.42/42.91 [18758] ALPHA_NOT_OR : ~(left_apart_point(A39_1256_9, L40_1256_9) | left_apart_point(A39_1256_9, reverse_line(L40_1256_9)))
% 293.42/42.91 -> [18759] ~left_apart_point(A39_1256_9, L40_1256_9), ~left_apart_point(A39_1256_9, reverse_line(L40_1256_9))
% 293.42/42.91
% 293.42/42.91 [18759] CLOSURE : ~left_apart_point(A39_1256_9, L40_1256_9)
% 293.42/42.91
% 293.42/42.91 [17573] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [17743] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.91
% 293.42/42.91 [17743] 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))))
% 293.42/42.91 -> [17746] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [17747] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91
% 293.42/42.91 [17746] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [17872] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91 -> [17873] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [17872] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [17873] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [17747] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [17750] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91 -> [17751] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [17751] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [19832] ~(left_apart_point(A39_1390_9, L40_1390_9) | left_apart_point(A39_1390_9, reverse_line(L40_1390_9)))
% 293.42/42.91
% 293.42/42.91 [19832] ALPHA_NOT_OR : ~(left_apart_point(A39_1390_9, L40_1390_9) | left_apart_point(A39_1390_9, reverse_line(L40_1390_9)))
% 293.42/42.91 -> [19833] ~left_apart_point(A39_1390_9, L40_1390_9), ~left_apart_point(A39_1390_9, reverse_line(L40_1390_9))
% 293.42/42.91
% 293.42/42.91 [19833] CLOSURE : ~left_apart_point(A39_1390_9, L40_1390_9)
% 293.42/42.91
% 293.42/42.91 [17750] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [19839] ~(left_apart_point(A39_1392_9, L40_1392_9) | left_apart_point(A39_1392_9, reverse_line(L40_1392_9)))
% 293.42/42.91
% 293.42/42.91 [19839] ALPHA_NOT_OR : ~(left_apart_point(A39_1392_9, L40_1392_9) | left_apart_point(A39_1392_9, reverse_line(L40_1392_9)))
% 293.42/42.91 -> [19841] ~left_apart_point(A39_1392_9, L40_1392_9), ~left_apart_point(A39_1392_9, reverse_line(L40_1392_9))
% 293.42/42.91
% 293.42/42.91 [19841] CLOSURE : ~left_apart_point(A39_1392_9, L40_1392_9)
% 293.42/42.91
% 293.42/42.91 [17508] 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))))
% 293.42/42.91 -> [17516] unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 293.42/42.91 -> [17517] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))
% 293.42/42.91
% 293.42/42.91 [17516] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 293.42/42.91
% 293.42/42.91 [17517] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [21907] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.91
% 293.42/42.91 [21907] 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))))
% 293.42/42.91 -> [21912] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [21913] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91
% 293.42/42.91 [21912] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [22004] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91 -> [22005] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [22005] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [22004] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [21913] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [21919] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91 -> [21920] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [21920] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [22230] ~(left_apart_point(A39_1704_9, L40_1704_9) | left_apart_point(A39_1704_9, reverse_line(L40_1704_9)))
% 293.42/42.91
% 293.42/42.91 [22230] ALPHA_NOT_OR : ~(left_apart_point(A39_1704_9, L40_1704_9) | left_apart_point(A39_1704_9, reverse_line(L40_1704_9)))
% 293.42/42.91 -> [22231] ~left_apart_point(A39_1704_9, L40_1704_9), ~left_apart_point(A39_1704_9, reverse_line(L40_1704_9))
% 293.42/42.91
% 293.42/42.91 [22231] CLOSURE : ~left_apart_point(A39_1704_9, L40_1704_9)
% 293.42/42.91
% 293.42/42.91 [21919] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [22373] ~(left_apart_point(A39_1730_9, L40_1730_9) | left_apart_point(A39_1730_9, reverse_line(L40_1730_9)))
% 293.42/42.91
% 293.42/42.91 [22373] ALPHA_NOT_OR : ~(left_apart_point(A39_1730_9, L40_1730_9) | left_apart_point(A39_1730_9, reverse_line(L40_1730_9)))
% 293.42/42.91 -> [22375] ~left_apart_point(A39_1730_9, L40_1730_9), ~left_apart_point(A39_1730_9, reverse_line(L40_1730_9))
% 293.42/42.91
% 293.42/42.91 [22375] CLOSURE : ~left_apart_point(A39_1730_9, L40_1730_9)
% 293.42/42.91
% 293.42/42.91 [16992] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_81_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_81_6)))
% 293.42/42.91 -> [16994] unequally_directed_lines(skolem_N7979, N34_81_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_81_6))
% 293.42/42.91
% 293.42/42.91 [16994] 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)))))
% 293.42/42.91 -> [17439] ((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)))))
% 293.42/42.91
% 293.42/42.91 [17439] 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)))))
% 293.42/42.91 -> [17440] ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.91 -> [17441] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))
% 293.42/42.91
% 293.42/42.91 [17440] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.91 -> [17522] ~line(skolem_L7777)
% 293.42/42.91 -> [17523] ~line(line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.91
% 293.42/42.91 [17522] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [17777] ((unequally_directed_lines(skolem_N7979, M38_602_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_602_8))) => (left_convergent_lines(skolem_N7979, M38_602_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_602_8))))
% 293.42/42.91
% 293.42/42.91 [17777] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_602_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_602_8))) => (left_convergent_lines(skolem_N7979, M38_602_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_602_8))))
% 293.42/42.91 -> [17778] ~(unequally_directed_lines(skolem_N7979, M38_602_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_602_8)))
% 293.42/42.91 -> [17779] (left_convergent_lines(skolem_N7979, M38_602_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_602_8)))
% 293.42/42.91
% 293.42/42.91 [17778] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_602_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_602_8)))
% 293.42/42.91 -> [17789] ~unequally_directed_lines(skolem_N7979, M38_602_8)
% 293.42/42.91 -> [17790] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_602_8))
% 293.42/42.91
% 293.42/42.91 [17790] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_602_8))
% 293.42/42.91
% 293.42/42.91 [17789] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_602_8)
% 293.42/42.91
% 293.42/42.91 [17779] BETA_OR : (left_convergent_lines(skolem_N7979, M38_602_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_602_8)))
% 293.42/42.91 -> [17785] left_convergent_lines(skolem_N7979, M38_602_8)
% 293.42/42.91 -> [17786] left_convergent_lines(skolem_N7979, reverse_line(M38_602_8))
% 293.42/42.91
% 293.42/42.91 [17786] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [17810] ~(left_apart_point(A39_1149_9, L40_1149_9) | left_apart_point(A39_1149_9, reverse_line(L40_1149_9)))
% 293.42/42.91
% 293.42/42.91 [17810] ALPHA_NOT_OR : ~(left_apart_point(A39_1149_9, L40_1149_9) | left_apart_point(A39_1149_9, reverse_line(L40_1149_9)))
% 293.42/42.91 -> [17811] ~left_apart_point(A39_1149_9, L40_1149_9), ~left_apart_point(A39_1149_9, reverse_line(L40_1149_9))
% 293.42/42.91
% 293.42/42.91 [17811] CLOSURE : ~left_apart_point(A39_1149_9, L40_1149_9)
% 293.42/42.91
% 293.42/42.91 [17785] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [17817] ~(left_apart_point(A39_1150_9, L40_1150_9) | left_apart_point(A39_1150_9, reverse_line(L40_1150_9)))
% 293.42/42.91
% 293.42/42.91 [17817] ALPHA_NOT_OR : ~(left_apart_point(A39_1150_9, L40_1150_9) | left_apart_point(A39_1150_9, reverse_line(L40_1150_9)))
% 293.42/42.91 -> [17821] ~left_apart_point(A39_1150_9, L40_1150_9), ~left_apart_point(A39_1150_9, reverse_line(L40_1150_9))
% 293.42/42.91
% 293.42/42.91 [17821] CLOSURE : ~left_apart_point(A39_1150_9, L40_1150_9)
% 293.42/42.91
% 293.42/42.91 [17523] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [17645] ((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))))
% 293.42/42.91
% 293.42/42.91 [17645] 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))))
% 293.42/42.91 -> [17647] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.91 -> [17648] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.91
% 293.42/42.91 [17648] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.91 -> [17654] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.91 -> [17655] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [17655] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [17958] ~(left_apart_point(A39_1162_9, L40_1162_9) | left_apart_point(A39_1162_9, reverse_line(L40_1162_9)))
% 293.42/42.91
% 293.42/42.91 [17958] ALPHA_NOT_OR : ~(left_apart_point(A39_1162_9, L40_1162_9) | left_apart_point(A39_1162_9, reverse_line(L40_1162_9)))
% 293.42/42.91 -> [17961] ~left_apart_point(A39_1162_9, L40_1162_9), ~left_apart_point(A39_1162_9, reverse_line(L40_1162_9))
% 293.42/42.91
% 293.42/42.91 [17961] CLOSURE : ~left_apart_point(A39_1162_9, L40_1162_9)
% 293.42/42.91
% 293.42/42.91 [17654] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [20079] ~(left_apart_point(A39_1433_9, L40_1433_9) | left_apart_point(A39_1433_9, reverse_line(L40_1433_9)))
% 293.42/42.91
% 293.42/42.91 [20079] ALPHA_NOT_OR : ~(left_apart_point(A39_1433_9, L40_1433_9) | left_apart_point(A39_1433_9, reverse_line(L40_1433_9)))
% 293.42/42.91 -> [20081] ~left_apart_point(A39_1433_9, L40_1433_9), ~left_apart_point(A39_1433_9, reverse_line(L40_1433_9))
% 293.42/42.91
% 293.42/42.91 [20081] CLOSURE : ~left_apart_point(A39_1433_9, L40_1433_9)
% 293.42/42.91
% 293.42/42.91 [17647] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.91 -> [17708] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.91 -> [17709] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [17708] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.91
% 293.42/42.91 [17709] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [17441] 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))))
% 293.42/42.91 -> [17442] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.91 -> [17443] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.91
% 293.42/42.91 [17442] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.91
% 293.42/42.91 [17443] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [22448] ((unequally_directed_lines(skolem_N7979, M38_897_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_897_8))) => (left_convergent_lines(skolem_N7979, M38_897_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_897_8))))
% 293.42/42.91
% 293.42/42.91 [22448] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_897_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_897_8))) => (left_convergent_lines(skolem_N7979, M38_897_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_897_8))))
% 293.42/42.91 -> [22453] ~(unequally_directed_lines(skolem_N7979, M38_897_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_897_8)))
% 293.42/42.91 -> [22454] (left_convergent_lines(skolem_N7979, M38_897_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_897_8)))
% 293.42/42.91
% 293.42/42.91 [22453] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_897_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_897_8)))
% 293.42/42.91 -> [22486] ~unequally_directed_lines(skolem_N7979, M38_897_8)
% 293.42/42.91 -> [22487] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_897_8))
% 293.42/42.91
% 293.42/42.91 [22487] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_897_8))
% 293.42/42.91
% 293.42/42.91 [22486] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_897_8)
% 293.42/42.91
% 293.42/42.91 [22454] BETA_OR : (left_convergent_lines(skolem_N7979, M38_897_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_897_8)))
% 293.42/42.91 -> [22455] left_convergent_lines(skolem_N7979, M38_897_8)
% 293.42/42.91 -> [22456] left_convergent_lines(skolem_N7979, reverse_line(M38_897_8))
% 293.42/42.91
% 293.42/42.91 [22455] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [22692] ~(left_apart_point(A39_1768_9, L40_1768_9) | left_apart_point(A39_1768_9, reverse_line(L40_1768_9)))
% 293.42/42.91
% 293.42/42.91 [22692] ALPHA_NOT_OR : ~(left_apart_point(A39_1768_9, L40_1768_9) | left_apart_point(A39_1768_9, reverse_line(L40_1768_9)))
% 293.42/42.91 -> [22694] ~left_apart_point(A39_1768_9, L40_1768_9), ~left_apart_point(A39_1768_9, reverse_line(L40_1768_9))
% 293.42/42.91
% 293.42/42.91 [22694] CLOSURE : ~left_apart_point(A39_1768_9, L40_1768_9)
% 293.42/42.91
% 293.42/42.91 [22456] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [22719] ~(left_apart_point(A39_1773_9, L40_1773_9) | left_apart_point(A39_1773_9, reverse_line(L40_1773_9)))
% 293.42/42.91
% 293.42/42.91 [22719] ALPHA_NOT_OR : ~(left_apart_point(A39_1773_9, L40_1773_9) | left_apart_point(A39_1773_9, reverse_line(L40_1773_9)))
% 293.42/42.91 -> [22722] ~left_apart_point(A39_1773_9, L40_1773_9), ~left_apart_point(A39_1773_9, reverse_line(L40_1773_9))
% 293.42/42.91
% 293.42/42.91 [22722] CLOSURE : ~left_apart_point(A39_1773_9, L40_1773_9)
% 293.42/42.91
% 293.42/42.91 [298] 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)))
% 293.42/42.91 -> [371] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 293.42/42.91 -> [372] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [372] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.91 -> [423] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.91
% 293.42/42.91 [423] 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))))
% 293.42/42.91 -> [488] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.91
% 293.42/42.91 [488] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.91 -> [490] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.91 -> [491] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.91
% 293.42/42.91 [490] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.91
% 293.42/42.91 [491] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.91 -> [6204] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.91 -> [6205] distinct_points(skolem_A8080, skolem_B8181)
% 293.42/42.91
% 293.42/42.91 [6204] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.91
% 293.42/42.91 [6205] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.91 -> [8012] ~distinct_lines(N27_251_3, N27_251_3)
% 293.42/42.91
% 293.42/42.91 [8012] 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))))
% 293.42/42.91 -> [8030] (distinct_lines(N27_251_3, N27_251_3) => (distinct_lines(N27_251_3, N27_251_3) | distinct_lines(N27_251_3, N27_251_3)))
% 293.42/42.91
% 293.42/42.91 [8030] BETA_IMPLY : (distinct_lines(N27_251_3, N27_251_3) => (distinct_lines(N27_251_3, N27_251_3) | distinct_lines(N27_251_3, N27_251_3)))
% 293.42/42.91 -> [8033] ~distinct_lines(N27_251_3, N27_251_3)
% 293.42/42.91 -> [8034] (distinct_lines(N27_251_3, N27_251_3) | distinct_lines(N27_251_3, N27_251_3))
% 293.42/42.91
% 293.42/42.91 [8034] BETA_OR : (distinct_lines(N27_251_3, N27_251_3) | distinct_lines(N27_251_3, N27_251_3))
% 293.42/42.91 -> [8042] distinct_lines(N27_251_3, N27_251_3)
% 293.42/42.91 -> [8043] distinct_lines(N27_251_3, N27_251_3)
% 293.42/42.91
% 293.42/42.91 [8042] CLOSURE : distinct_lines(N27_251_3, N27_251_3)
% 293.42/42.91
% 293.42/42.91 [8043] CLOSURE : distinct_lines(N27_251_3, N27_251_3)
% 293.42/42.91
% 293.42/42.91 [8033] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.91 -> [8795] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [8795] 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))))
% 293.42/42.91 -> [8933] (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))))
% 293.42/42.91
% 293.42/42.91 [8933] 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))))
% 293.42/42.91 -> [8935] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91 -> [8936] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.91
% 293.42/42.91 [8935] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [8936] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.91 -> [12077] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91 -> [12078] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [12078] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [12077] 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))))))
% 293.42/42.91 -> [15379] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_210_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_210_6))) | (unequally_directed_lines(skolem_N7979, N34_210_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_210_6)))))
% 293.42/42.91
% 293.42/42.91 [15379] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_210_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_210_6))) | (unequally_directed_lines(skolem_N7979, N34_210_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_210_6)))))
% 293.42/42.91 -> [17116] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.91 -> [17117] ((unequally_directed_lines(skolem_M7878, N34_210_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_210_6))) | (unequally_directed_lines(skolem_N7979, N34_210_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_210_6))))
% 293.42/42.91
% 293.42/42.91 [17116] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.91 -> [17159] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.91 -> [17160] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [17160] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [17159] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.91
% 293.42/42.91 [17117] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_210_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_210_6))) | (unequally_directed_lines(skolem_N7979, N34_210_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_210_6))))
% 293.42/42.91 -> [21914] (unequally_directed_lines(skolem_M7878, N34_210_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_210_6)))
% 293.42/42.91 -> [21915] (unequally_directed_lines(skolem_N7979, N34_210_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_210_6)))
% 293.42/42.91
% 293.42/42.91 [21915] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_210_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_210_6)))
% 293.42/42.91 -> [21921] unequally_directed_lines(skolem_N7979, N34_210_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_210_6))
% 293.42/42.91
% 293.42/42.91 [21921] 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)))))
% 293.42/42.91 -> [21953] ((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)))))
% 293.42/42.91
% 293.42/42.91 [21953] 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)))))
% 293.42/42.91 -> [21959] ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.91 -> [21960] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 293.42/42.91
% 293.42/42.91 [21959] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.91 -> [21978] ~line(reverse_line(skolem_N7979))
% 293.42/42.91 -> [21979] ~line(reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [21979] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [22020] ((unequally_directed_lines(skolem_N7979, M38_872_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_872_8))) => (left_convergent_lines(skolem_N7979, M38_872_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_872_8))))
% 293.42/42.91
% 293.42/42.91 [22020] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_872_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_872_8))) => (left_convergent_lines(skolem_N7979, M38_872_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_872_8))))
% 293.42/42.91 -> [22023] ~(unequally_directed_lines(skolem_N7979, M38_872_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_872_8)))
% 293.42/42.91 -> [22024] (left_convergent_lines(skolem_N7979, M38_872_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_872_8)))
% 293.42/42.91
% 293.42/42.91 [22023] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_872_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_872_8)))
% 293.42/42.91 -> [22041] ~unequally_directed_lines(skolem_N7979, M38_872_8)
% 293.42/42.91 -> [22042] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_872_8))
% 293.42/42.91
% 293.42/42.91 [22042] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_872_8))
% 293.42/42.91
% 293.42/42.91 [22041] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_872_8)
% 293.42/42.91
% 293.42/42.91 [22024] BETA_OR : (left_convergent_lines(skolem_N7979, M38_872_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_872_8)))
% 293.42/42.91 -> [22027] left_convergent_lines(skolem_N7979, M38_872_8)
% 293.42/42.91 -> [22028] left_convergent_lines(skolem_N7979, reverse_line(M38_872_8))
% 293.42/42.91
% 293.42/42.91 [22027] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [22080] ~(left_apart_point(A39_1682_9, L40_1682_9) | left_apart_point(A39_1682_9, reverse_line(L40_1682_9)))
% 293.42/42.91
% 293.42/42.91 [22080] ALPHA_NOT_OR : ~(left_apart_point(A39_1682_9, L40_1682_9) | left_apart_point(A39_1682_9, reverse_line(L40_1682_9)))
% 293.42/42.91 -> [22082] ~left_apart_point(A39_1682_9, L40_1682_9), ~left_apart_point(A39_1682_9, reverse_line(L40_1682_9))
% 293.42/42.91
% 293.42/42.91 [22082] CLOSURE : ~left_apart_point(A39_1682_9, L40_1682_9)
% 293.42/42.91
% 293.42/42.91 [22028] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [22065] ~(left_apart_point(A39_1679_9, L40_1679_9) | left_apart_point(A39_1679_9, reverse_line(L40_1679_9)))
% 293.42/42.91
% 293.42/42.91 [22065] ALPHA_NOT_OR : ~(left_apart_point(A39_1679_9, L40_1679_9) | left_apart_point(A39_1679_9, reverse_line(L40_1679_9)))
% 293.42/42.91 -> [22067] ~left_apart_point(A39_1679_9, L40_1679_9), ~left_apart_point(A39_1679_9, reverse_line(L40_1679_9))
% 293.42/42.91
% 293.42/42.91 [22067] CLOSURE : ~left_apart_point(A39_1679_9, L40_1679_9)
% 293.42/42.91
% 293.42/42.91 [21978] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [23902] ((unequally_directed_lines(skolem_N7979, M38_995_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_995_8))) => (left_convergent_lines(skolem_N7979, M38_995_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_995_8))))
% 293.42/42.91
% 293.42/42.91 [23902] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_995_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_995_8))) => (left_convergent_lines(skolem_N7979, M38_995_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_995_8))))
% 293.42/42.91 -> [23904] ~(unequally_directed_lines(skolem_N7979, M38_995_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_995_8)))
% 293.42/42.91 -> [23905] (left_convergent_lines(skolem_N7979, M38_995_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_995_8)))
% 293.42/42.91
% 293.42/42.91 [23904] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_995_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_995_8)))
% 293.42/42.91 -> [23964] ~unequally_directed_lines(skolem_N7979, M38_995_8)
% 293.42/42.91 -> [23965] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_995_8))
% 293.42/42.91
% 293.42/42.91 [23965] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_995_8))
% 293.42/42.91
% 293.42/42.91 [23964] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_995_8)
% 293.42/42.91
% 293.42/42.91 [23905] BETA_OR : (left_convergent_lines(skolem_N7979, M38_995_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_995_8)))
% 293.42/42.91 -> [23910] left_convergent_lines(skolem_N7979, M38_995_8)
% 293.42/42.91 -> [23911] left_convergent_lines(skolem_N7979, reverse_line(M38_995_8))
% 293.42/42.91
% 293.42/42.91 [23911] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [24057] ~(left_apart_point(A39_1978_9, L40_1978_9) | left_apart_point(A39_1978_9, reverse_line(L40_1978_9)))
% 293.42/42.91
% 293.42/42.91 [24057] ALPHA_NOT_OR : ~(left_apart_point(A39_1978_9, L40_1978_9) | left_apart_point(A39_1978_9, reverse_line(L40_1978_9)))
% 293.42/42.91 -> [24059] ~left_apart_point(A39_1978_9, L40_1978_9), ~left_apart_point(A39_1978_9, reverse_line(L40_1978_9))
% 293.42/42.91
% 293.42/42.91 [24059] CLOSURE : ~left_apart_point(A39_1978_9, L40_1978_9)
% 293.42/42.91
% 293.42/42.91 [23910] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [24076] ~(left_apart_point(A39_1984_9, L40_1984_9) | left_apart_point(A39_1984_9, reverse_line(L40_1984_9)))
% 293.42/42.91
% 293.42/42.91 [24076] ALPHA_NOT_OR : ~(left_apart_point(A39_1984_9, L40_1984_9) | left_apart_point(A39_1984_9, reverse_line(L40_1984_9)))
% 293.42/42.91 -> [24077] ~left_apart_point(A39_1984_9, L40_1984_9), ~left_apart_point(A39_1984_9, reverse_line(L40_1984_9))
% 293.42/42.91
% 293.42/42.91 [24077] CLOSURE : ~left_apart_point(A39_1984_9, L40_1984_9)
% 293.42/42.91
% 293.42/42.91 [21960] 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))))
% 293.42/42.91 -> [21965] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.91 -> [21966] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 293.42/42.91
% 293.42/42.91 [21965] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [21966] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [23658] ((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))))
% 293.42/42.91
% 293.42/42.91 [23658] 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))))
% 293.42/42.91 -> [23661] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.91 -> [23662] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.91
% 293.42/42.91 [23661] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.91 -> [23690] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.91 -> [23691] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [23691] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [23690] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.91
% 293.42/42.91 [23662] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.91 -> [23667] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.91 -> [23668] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [23668] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [23827] ~(left_apart_point(A39_1928_9, L40_1928_9) | left_apart_point(A39_1928_9, reverse_line(L40_1928_9)))
% 293.42/42.91
% 293.42/42.91 [23827] ALPHA_NOT_OR : ~(left_apart_point(A39_1928_9, L40_1928_9) | left_apart_point(A39_1928_9, reverse_line(L40_1928_9)))
% 293.42/42.91 -> [23828] ~left_apart_point(A39_1928_9, L40_1928_9), ~left_apart_point(A39_1928_9, reverse_line(L40_1928_9))
% 293.42/42.91
% 293.42/42.91 [23828] CLOSURE : ~left_apart_point(A39_1928_9, L40_1928_9)
% 293.42/42.91
% 293.42/42.91 [23667] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [25208] ~(left_apart_point(A39_2131_9, L40_2131_9) | left_apart_point(A39_2131_9, reverse_line(L40_2131_9)))
% 293.42/42.91
% 293.42/42.91 [25208] ALPHA_NOT_OR : ~(left_apart_point(A39_2131_9, L40_2131_9) | left_apart_point(A39_2131_9, reverse_line(L40_2131_9)))
% 293.42/42.91 -> [25210] ~left_apart_point(A39_2131_9, L40_2131_9), ~left_apart_point(A39_2131_9, reverse_line(L40_2131_9))
% 293.42/42.91
% 293.42/42.91 [25210] CLOSURE : ~left_apart_point(A39_2131_9, L40_2131_9)
% 293.42/42.91
% 293.42/42.91 [21914] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_210_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_210_6)))
% 293.42/42.91 -> [21926] unequally_directed_lines(skolem_M7878, N34_210_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_210_6))
% 293.42/42.91
% 293.42/42.91 [21926] 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)))))
% 293.42/42.91 -> [21969] ((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))))
% 293.42/42.91
% 293.42/42.91 [21969] 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))))
% 293.42/42.91 -> [21974] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.91 -> [21975] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.91
% 293.42/42.91 [21974] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.91 -> [21988] ~line(reverse_line(skolem_N7979))
% 293.42/42.91 -> [21989] ~line(skolem_N7979)
% 293.42/42.91
% 293.42/42.91 [21989] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [22307] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.91
% 293.42/42.91 [22307] 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))))
% 293.42/42.91 -> [22310] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [22311] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91
% 293.42/42.91 [22310] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [22395] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91 -> [22396] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [22396] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [22395] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [22311] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [22315] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91 -> [22316] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [22315] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [22513] ~(left_apart_point(A39_1757_9, L40_1757_9) | left_apart_point(A39_1757_9, reverse_line(L40_1757_9)))
% 293.42/42.91
% 293.42/42.91 [22513] ALPHA_NOT_OR : ~(left_apart_point(A39_1757_9, L40_1757_9) | left_apart_point(A39_1757_9, reverse_line(L40_1757_9)))
% 293.42/42.91 -> [22514] ~left_apart_point(A39_1757_9, L40_1757_9), ~left_apart_point(A39_1757_9, reverse_line(L40_1757_9))
% 293.42/42.91
% 293.42/42.91 [22514] CLOSURE : ~left_apart_point(A39_1757_9, L40_1757_9)
% 293.42/42.91
% 293.42/42.91 [22316] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [22515] ~(left_apart_point(A39_1758_9, L40_1758_9) | left_apart_point(A39_1758_9, reverse_line(L40_1758_9)))
% 293.42/42.91
% 293.42/42.91 [22515] ALPHA_NOT_OR : ~(left_apart_point(A39_1758_9, L40_1758_9) | left_apart_point(A39_1758_9, reverse_line(L40_1758_9)))
% 293.42/42.91 -> [22516] ~left_apart_point(A39_1758_9, L40_1758_9), ~left_apart_point(A39_1758_9, reverse_line(L40_1758_9))
% 293.42/42.91
% 293.42/42.91 [22516] CLOSURE : ~left_apart_point(A39_1758_9, L40_1758_9)
% 293.42/42.91
% 293.42/42.91 [21988] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [22183] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.91
% 293.42/42.91 [22183] 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))))
% 293.42/42.91 -> [22185] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [22186] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91
% 293.42/42.91 [22186] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [22190] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91 -> [22191] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [22190] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [22459] ~(left_apart_point(A39_1746_9, L40_1746_9) | left_apart_point(A39_1746_9, reverse_line(L40_1746_9)))
% 293.42/42.91
% 293.42/42.91 [22459] ALPHA_NOT_OR : ~(left_apart_point(A39_1746_9, L40_1746_9) | left_apart_point(A39_1746_9, reverse_line(L40_1746_9)))
% 293.42/42.91 -> [22460] ~left_apart_point(A39_1746_9, L40_1746_9), ~left_apart_point(A39_1746_9, reverse_line(L40_1746_9))
% 293.42/42.91
% 293.42/42.91 [22460] CLOSURE : ~left_apart_point(A39_1746_9, L40_1746_9)
% 293.42/42.91
% 293.42/42.91 [22191] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [22412] ~(left_apart_point(A39_1739_9, L40_1739_9) | left_apart_point(A39_1739_9, reverse_line(L40_1739_9)))
% 293.42/42.91
% 293.42/42.91 [22412] ALPHA_NOT_OR : ~(left_apart_point(A39_1739_9, L40_1739_9) | left_apart_point(A39_1739_9, reverse_line(L40_1739_9)))
% 293.42/42.91 -> [22413] ~left_apart_point(A39_1739_9, L40_1739_9), ~left_apart_point(A39_1739_9, reverse_line(L40_1739_9))
% 293.42/42.91
% 293.42/42.91 [22413] CLOSURE : ~left_apart_point(A39_1739_9, L40_1739_9)
% 293.42/42.91
% 293.42/42.91 [22185] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [22234] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91 -> [22235] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [22235] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [22234] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [21975] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.91 -> [21976] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 293.42/42.91 -> [21977] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [21977] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [21976] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [24853] ((unequally_directed_lines(skolem_M7878, M38_1062_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1062_8))) => (left_convergent_lines(skolem_M7878, M38_1062_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1062_8))))
% 293.42/42.91
% 293.42/42.91 [24853] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_1062_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1062_8))) => (left_convergent_lines(skolem_M7878, M38_1062_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1062_8))))
% 293.42/42.91 -> [24855] ~(unequally_directed_lines(skolem_M7878, M38_1062_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1062_8)))
% 293.42/42.91 -> [24856] (left_convergent_lines(skolem_M7878, M38_1062_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1062_8)))
% 293.42/42.91
% 293.42/42.91 [24855] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_1062_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1062_8)))
% 293.42/42.91 -> [24878] ~unequally_directed_lines(skolem_M7878, M38_1062_8)
% 293.42/42.91 -> [24879] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_1062_8))
% 293.42/42.91
% 293.42/42.91 [24879] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_1062_8))
% 293.42/42.91
% 293.42/42.91 [24878] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_1062_8)
% 293.42/42.91
% 293.42/42.91 [24856] BETA_OR : (left_convergent_lines(skolem_M7878, M38_1062_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1062_8)))
% 293.42/42.91 -> [24863] left_convergent_lines(skolem_M7878, M38_1062_8)
% 293.42/42.91 -> [24864] left_convergent_lines(skolem_M7878, reverse_line(M38_1062_8))
% 293.42/42.91
% 293.42/42.91 [24864] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [24971] ~(left_apart_point(A39_2114_9, L40_2114_9) | left_apart_point(A39_2114_9, reverse_line(L40_2114_9)))
% 293.42/42.91
% 293.42/42.91 [24971] ALPHA_NOT_OR : ~(left_apart_point(A39_2114_9, L40_2114_9) | left_apart_point(A39_2114_9, reverse_line(L40_2114_9)))
% 293.42/42.91 -> [24974] ~left_apart_point(A39_2114_9, L40_2114_9), ~left_apart_point(A39_2114_9, reverse_line(L40_2114_9))
% 293.42/42.91
% 293.42/42.91 [24974] CLOSURE : ~left_apart_point(A39_2114_9, L40_2114_9)
% 293.42/42.91
% 293.42/42.91 [24863] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [24967] ~(left_apart_point(A39_2113_9, L40_2113_9) | left_apart_point(A39_2113_9, reverse_line(L40_2113_9)))
% 293.42/42.91
% 293.42/42.91 [24967] ALPHA_NOT_OR : ~(left_apart_point(A39_2113_9, L40_2113_9) | left_apart_point(A39_2113_9, reverse_line(L40_2113_9)))
% 293.42/42.91 -> [24968] ~left_apart_point(A39_2113_9, L40_2113_9), ~left_apart_point(A39_2113_9, reverse_line(L40_2113_9))
% 293.42/42.91
% 293.42/42.91 [24968] CLOSURE : ~left_apart_point(A39_2113_9, L40_2113_9)
% 293.42/42.91
% 293.42/42.91 [371] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.91 -> [441] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.91
% 293.42/42.91 [441] 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))))
% 293.42/42.91 -> [1087] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.91
% 293.42/42.91 [1087] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.91 -> [1088] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.91 -> [1089] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.91
% 293.42/42.91 [1088] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.91
% 293.42/42.91 [1089] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.91 -> [4178] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.91 -> [4179] distinct_points(skolem_A8080, skolem_B8181)
% 293.42/42.91
% 293.42/42.91 [4178] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.91
% 293.42/42.91 [4179] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.91 -> [6917] ~distinct_lines(N27_226_3, N27_226_3)
% 293.42/42.91
% 293.42/42.91 [6917] 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))))
% 293.42/42.91 -> [6947] (distinct_lines(N27_226_3, N27_226_3) => (distinct_lines(N27_226_3, N27_226_3) | distinct_lines(N27_226_3, N27_226_3)))
% 293.42/42.91
% 293.42/42.91 [6947] BETA_IMPLY : (distinct_lines(N27_226_3, N27_226_3) => (distinct_lines(N27_226_3, N27_226_3) | distinct_lines(N27_226_3, N27_226_3)))
% 293.42/42.91 -> [6948] ~distinct_lines(N27_226_3, N27_226_3)
% 293.42/42.91 -> [6949] (distinct_lines(N27_226_3, N27_226_3) | distinct_lines(N27_226_3, N27_226_3))
% 293.42/42.91
% 293.42/42.91 [6949] BETA_OR : (distinct_lines(N27_226_3, N27_226_3) | distinct_lines(N27_226_3, N27_226_3))
% 293.42/42.91 -> [6950] distinct_lines(N27_226_3, N27_226_3)
% 293.42/42.91 -> [6951] distinct_lines(N27_226_3, N27_226_3)
% 293.42/42.91
% 293.42/42.91 [6951] CLOSURE : distinct_lines(N27_226_3, N27_226_3)
% 293.42/42.91
% 293.42/42.91 [6950] CLOSURE : distinct_lines(N27_226_3, N27_226_3)
% 293.42/42.91
% 293.42/42.91 [6948] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.91 -> [6996] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [6996] 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))))
% 293.42/42.91 -> [7031] (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))))
% 293.42/42.91
% 293.42/42.91 [7031] 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))))
% 293.42/42.91 -> [7032] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91 -> [7033] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.91
% 293.42/42.91 [7032] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [7033] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.91 -> [8442] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91 -> [8443] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [8443] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [8442] 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))))))
% 293.42/42.91 -> [11253] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_149_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_149_6))) | (unequally_directed_lines(skolem_N7979, N34_149_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_149_6)))))
% 293.42/42.91
% 293.42/42.91 [11253] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_149_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_149_6))) | (unequally_directed_lines(skolem_N7979, N34_149_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_149_6)))))
% 293.42/42.91 -> [11256] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.91 -> [11257] ((unequally_directed_lines(skolem_M7878, N34_149_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_149_6))) | (unequally_directed_lines(skolem_N7979, N34_149_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_149_6))))
% 293.42/42.91
% 293.42/42.91 [11256] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.91 -> [11274] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.91 -> [11275] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [11274] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.91
% 293.42/42.91 [11275] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [11257] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_149_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_149_6))) | (unequally_directed_lines(skolem_N7979, N34_149_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_149_6))))
% 293.42/42.91 -> [20397] (unequally_directed_lines(skolem_M7878, N34_149_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_149_6)))
% 293.42/42.91 -> [20398] (unequally_directed_lines(skolem_N7979, N34_149_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_149_6)))
% 293.42/42.91
% 293.42/42.91 [20397] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_149_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_149_6)))
% 293.42/42.91 -> [20412] unequally_directed_lines(skolem_M7878, N34_149_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_149_6))
% 293.42/42.91
% 293.42/42.91 [20412] 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)))))
% 293.42/42.91 -> [20617] ((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)))))
% 293.42/42.91
% 293.42/42.91 [20617] 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)))))
% 293.42/42.91 -> [20618] ~(line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181)))
% 293.42/42.91 -> [20619] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 293.42/42.91
% 293.42/42.91 [20618] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181)))
% 293.42/42.91 -> [20723] ~line(skolem_L7777)
% 293.42/42.91 -> [20724] ~line(line_connecting(skolem_C8282, skolem_B8181))
% 293.42/42.91
% 293.42/42.91 [20723] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [21183] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.91
% 293.42/42.91 [21183] 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))))
% 293.42/42.91 -> [21190] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [21191] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91
% 293.42/42.91 [21190] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [21229] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91 -> [21230] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [21229] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [21230] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [21191] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [21196] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91 -> [21197] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [21197] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [21564] ~(left_apart_point(A39_1604_9, L40_1604_9) | left_apart_point(A39_1604_9, reverse_line(L40_1604_9)))
% 293.42/42.91
% 293.42/42.91 [21564] ALPHA_NOT_OR : ~(left_apart_point(A39_1604_9, L40_1604_9) | left_apart_point(A39_1604_9, reverse_line(L40_1604_9)))
% 293.42/42.91 -> [21570] ~left_apart_point(A39_1604_9, L40_1604_9), ~left_apart_point(A39_1604_9, reverse_line(L40_1604_9))
% 293.42/42.91
% 293.42/42.91 [21570] CLOSURE : ~left_apart_point(A39_1604_9, L40_1604_9)
% 293.42/42.91
% 293.42/42.91 [21196] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [21669] ~(left_apart_point(A39_1618_9, L40_1618_9) | left_apart_point(A39_1618_9, reverse_line(L40_1618_9)))
% 293.42/42.91
% 293.42/42.91 [21669] ALPHA_NOT_OR : ~(left_apart_point(A39_1618_9, L40_1618_9) | left_apart_point(A39_1618_9, reverse_line(L40_1618_9)))
% 293.42/42.91 -> [21670] ~left_apart_point(A39_1618_9, L40_1618_9), ~left_apart_point(A39_1618_9, reverse_line(L40_1618_9))
% 293.42/42.91
% 293.42/42.91 [21670] CLOSURE : ~left_apart_point(A39_1618_9, L40_1618_9)
% 293.42/42.91
% 293.42/42.91 [20724] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [21202] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.91
% 293.42/42.91 [21202] 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))))
% 293.42/42.91 -> [21204] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [21205] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91
% 293.42/42.91 [21204] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [21239] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91 -> [21240] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [21240] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [21239] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [21205] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [21250] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91 -> [21251] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [21251] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [21677] ~(left_apart_point(A39_1621_9, L40_1621_9) | left_apart_point(A39_1621_9, reverse_line(L40_1621_9)))
% 293.42/42.91
% 293.42/42.91 [21677] ALPHA_NOT_OR : ~(left_apart_point(A39_1621_9, L40_1621_9) | left_apart_point(A39_1621_9, reverse_line(L40_1621_9)))
% 293.42/42.91 -> [21679] ~left_apart_point(A39_1621_9, L40_1621_9), ~left_apart_point(A39_1621_9, reverse_line(L40_1621_9))
% 293.42/42.91
% 293.42/42.91 [21679] CLOSURE : ~left_apart_point(A39_1621_9, L40_1621_9)
% 293.42/42.91
% 293.42/42.91 [21250] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [21787] ~(left_apart_point(A39_1640_9, L40_1640_9) | left_apart_point(A39_1640_9, reverse_line(L40_1640_9)))
% 293.42/42.91
% 293.42/42.91 [21787] ALPHA_NOT_OR : ~(left_apart_point(A39_1640_9, L40_1640_9) | left_apart_point(A39_1640_9, reverse_line(L40_1640_9)))
% 293.42/42.91 -> [21788] ~left_apart_point(A39_1640_9, L40_1640_9), ~left_apart_point(A39_1640_9, reverse_line(L40_1640_9))
% 293.42/42.91
% 293.42/42.91 [21788] CLOSURE : ~left_apart_point(A39_1640_9, L40_1640_9)
% 293.42/42.91
% 293.42/42.91 [20619] 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))))
% 293.42/42.91 -> [20626] unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 293.42/42.91 -> [20627] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))
% 293.42/42.91
% 293.42/42.91 [20626] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 293.42/42.91
% 293.42/42.91 [20627] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [24082] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.91
% 293.42/42.91 [24082] 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))))
% 293.42/42.91 -> [24084] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [24085] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91
% 293.42/42.91 [24084] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [24111] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91 -> [24112] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [24112] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [24111] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [24085] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [24090] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91 -> [24091] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [24091] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [24127] ~(left_apart_point(A39_1986_9, L40_1986_9) | left_apart_point(A39_1986_9, reverse_line(L40_1986_9)))
% 293.42/42.91
% 293.42/42.91 [24127] ALPHA_NOT_OR : ~(left_apart_point(A39_1986_9, L40_1986_9) | left_apart_point(A39_1986_9, reverse_line(L40_1986_9)))
% 293.42/42.91 -> [24132] ~left_apart_point(A39_1986_9, L40_1986_9), ~left_apart_point(A39_1986_9, reverse_line(L40_1986_9))
% 293.42/42.91
% 293.42/42.91 [24132] CLOSURE : ~left_apart_point(A39_1986_9, L40_1986_9)
% 293.42/42.91
% 293.42/42.91 [24090] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [24158] ~(left_apart_point(A39_1987_9, L40_1987_9) | left_apart_point(A39_1987_9, reverse_line(L40_1987_9)))
% 293.42/42.91
% 293.42/42.91 [24158] ALPHA_NOT_OR : ~(left_apart_point(A39_1987_9, L40_1987_9) | left_apart_point(A39_1987_9, reverse_line(L40_1987_9)))
% 293.42/42.91 -> [24159] ~left_apart_point(A39_1987_9, L40_1987_9), ~left_apart_point(A39_1987_9, reverse_line(L40_1987_9))
% 293.42/42.91
% 293.42/42.91 [24159] CLOSURE : ~left_apart_point(A39_1987_9, L40_1987_9)
% 293.42/42.91
% 293.42/42.91 [20398] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_149_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_149_6)))
% 293.42/42.91 -> [20399] unequally_directed_lines(skolem_N7979, N34_149_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_149_6))
% 293.42/42.91
% 293.42/42.91 [20399] 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)))))
% 293.42/42.91 -> [20560] ((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)))))
% 293.42/42.91
% 293.42/42.91 [20560] 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)))))
% 293.42/42.91 -> [20562] ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.91 -> [20563] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))
% 293.42/42.91
% 293.42/42.91 [20562] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.91 -> [20657] ~line(skolem_L7777)
% 293.42/42.91 -> [20658] ~line(line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.91
% 293.42/42.91 [20657] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [21158] ((unequally_directed_lines(skolem_N7979, M38_811_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_811_8))) => (left_convergent_lines(skolem_N7979, M38_811_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_811_8))))
% 293.42/42.91
% 293.42/42.91 [21158] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_811_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_811_8))) => (left_convergent_lines(skolem_N7979, M38_811_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_811_8))))
% 293.42/42.91 -> [21839] ~(unequally_directed_lines(skolem_N7979, M38_811_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_811_8)))
% 293.42/42.91 -> [21840] (left_convergent_lines(skolem_N7979, M38_811_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_811_8)))
% 293.42/42.91
% 293.42/42.91 [21839] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_811_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_811_8)))
% 293.42/42.91 -> [22210] ~unequally_directed_lines(skolem_N7979, M38_811_8)
% 293.42/42.91 -> [22211] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_811_8))
% 293.42/42.91
% 293.42/42.91 [22211] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_811_8))
% 293.42/42.91
% 293.42/42.91 [22210] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_811_8)
% 293.42/42.91
% 293.42/42.91 [21840] BETA_OR : (left_convergent_lines(skolem_N7979, M38_811_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_811_8)))
% 293.42/42.91 -> [22197] left_convergent_lines(skolem_N7979, M38_811_8)
% 293.42/42.91 -> [22198] left_convergent_lines(skolem_N7979, reverse_line(M38_811_8))
% 293.42/42.91
% 293.42/42.91 [22198] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [22245] ~(left_apart_point(A39_1707_9, L40_1707_9) | left_apart_point(A39_1707_9, reverse_line(L40_1707_9)))
% 293.42/42.91
% 293.42/42.91 [22245] ALPHA_NOT_OR : ~(left_apart_point(A39_1707_9, L40_1707_9) | left_apart_point(A39_1707_9, reverse_line(L40_1707_9)))
% 293.42/42.91 -> [22246] ~left_apart_point(A39_1707_9, L40_1707_9), ~left_apart_point(A39_1707_9, reverse_line(L40_1707_9))
% 293.42/42.91
% 293.42/42.91 [22246] CLOSURE : ~left_apart_point(A39_1707_9, L40_1707_9)
% 293.42/42.91
% 293.42/42.91 [22197] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [22306] ~(left_apart_point(A39_1718_9, L40_1718_9) | left_apart_point(A39_1718_9, reverse_line(L40_1718_9)))
% 293.42/42.91
% 293.42/42.91 [22306] ALPHA_NOT_OR : ~(left_apart_point(A39_1718_9, L40_1718_9) | left_apart_point(A39_1718_9, reverse_line(L40_1718_9)))
% 293.42/42.91 -> [22308] ~left_apart_point(A39_1718_9, L40_1718_9), ~left_apart_point(A39_1718_9, reverse_line(L40_1718_9))
% 293.42/42.91
% 293.42/42.91 [22308] CLOSURE : ~left_apart_point(A39_1718_9, L40_1718_9)
% 293.42/42.91
% 293.42/42.91 [20658] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [21061] ((unequally_directed_lines(skolem_N7979, M38_803_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_803_8))) => (left_convergent_lines(skolem_N7979, M38_803_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_803_8))))
% 293.42/42.91
% 293.42/42.91 [21061] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_803_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_803_8))) => (left_convergent_lines(skolem_N7979, M38_803_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_803_8))))
% 293.42/42.91 -> [21064] ~(unequally_directed_lines(skolem_N7979, M38_803_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_803_8)))
% 293.42/42.91 -> [21065] (left_convergent_lines(skolem_N7979, M38_803_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_803_8)))
% 293.42/42.91
% 293.42/42.91 [21064] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_803_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_803_8)))
% 293.42/42.91 -> [21843] ~unequally_directed_lines(skolem_N7979, M38_803_8)
% 293.42/42.91 -> [21844] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_803_8))
% 293.42/42.91
% 293.42/42.91 [21844] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_803_8))
% 293.42/42.91
% 293.42/42.91 [21843] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_803_8)
% 293.42/42.91
% 293.42/42.91 [21065] BETA_OR : (left_convergent_lines(skolem_N7979, M38_803_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_803_8)))
% 293.42/42.91 -> [21068] left_convergent_lines(skolem_N7979, M38_803_8)
% 293.42/42.91 -> [21069] left_convergent_lines(skolem_N7979, reverse_line(M38_803_8))
% 293.42/42.91
% 293.42/42.91 [21069] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [21898] ~(left_apart_point(A39_1665_9, L40_1665_9) | left_apart_point(A39_1665_9, reverse_line(L40_1665_9)))
% 293.42/42.91
% 293.42/42.91 [21898] ALPHA_NOT_OR : ~(left_apart_point(A39_1665_9, L40_1665_9) | left_apart_point(A39_1665_9, reverse_line(L40_1665_9)))
% 293.42/42.91 -> [21899] ~left_apart_point(A39_1665_9, L40_1665_9), ~left_apart_point(A39_1665_9, reverse_line(L40_1665_9))
% 293.42/42.91
% 293.42/42.91 [21899] CLOSURE : ~left_apart_point(A39_1665_9, L40_1665_9)
% 293.42/42.91
% 293.42/42.91 [21068] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [22527] ~(left_apart_point(A39_1759_9, L40_1759_9) | left_apart_point(A39_1759_9, reverse_line(L40_1759_9)))
% 293.42/42.91
% 293.42/42.91 [22527] ALPHA_NOT_OR : ~(left_apart_point(A39_1759_9, L40_1759_9) | left_apart_point(A39_1759_9, reverse_line(L40_1759_9)))
% 293.42/42.91 -> [22530] ~left_apart_point(A39_1759_9, L40_1759_9), ~left_apart_point(A39_1759_9, reverse_line(L40_1759_9))
% 293.42/42.91
% 293.42/42.91 [22530] CLOSURE : ~left_apart_point(A39_1759_9, L40_1759_9)
% 293.42/42.91
% 293.42/42.91 [20563] 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))))
% 293.42/42.91 -> [20567] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.91 -> [20568] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.91
% 293.42/42.91 [20567] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.91
% 293.42/42.91 [20568] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [25632] ((unequally_directed_lines(skolem_N7979, M38_1118_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1118_8))) => (left_convergent_lines(skolem_N7979, M38_1118_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1118_8))))
% 293.42/42.91
% 293.42/42.91 [25632] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1118_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1118_8))) => (left_convergent_lines(skolem_N7979, M38_1118_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1118_8))))
% 293.42/42.91 -> [25635] ~(unequally_directed_lines(skolem_N7979, M38_1118_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1118_8)))
% 293.42/42.91 -> [25636] (left_convergent_lines(skolem_N7979, M38_1118_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1118_8)))
% 293.42/42.91
% 293.42/42.91 [25636] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1118_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1118_8)))
% 293.42/42.91 -> [25639] left_convergent_lines(skolem_N7979, M38_1118_8)
% 293.42/42.91 -> [25640] left_convergent_lines(skolem_N7979, reverse_line(M38_1118_8))
% 293.42/42.91
% 293.42/42.91 [25639] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [25956] ~(left_apart_point(A39_2259_9, L40_2259_9) | left_apart_point(A39_2259_9, reverse_line(L40_2259_9)))
% 293.42/42.91
% 293.42/42.91 [25956] ALPHA_NOT_OR : ~(left_apart_point(A39_2259_9, L40_2259_9) | left_apart_point(A39_2259_9, reverse_line(L40_2259_9)))
% 293.42/42.91 -> [25957] ~left_apart_point(A39_2259_9, L40_2259_9), ~left_apart_point(A39_2259_9, reverse_line(L40_2259_9))
% 293.42/42.91
% 293.42/42.91 [25957] CLOSURE : ~left_apart_point(A39_2259_9, L40_2259_9)
% 293.42/42.91
% 293.42/42.91 [25640] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [25953] ~(left_apart_point(A39_2258_9, L40_2258_9) | left_apart_point(A39_2258_9, reverse_line(L40_2258_9)))
% 293.42/42.91
% 293.42/42.91 [25953] ALPHA_NOT_OR : ~(left_apart_point(A39_2258_9, L40_2258_9) | left_apart_point(A39_2258_9, reverse_line(L40_2258_9)))
% 293.42/42.91 -> [25955] ~left_apart_point(A39_2258_9, L40_2258_9), ~left_apart_point(A39_2258_9, reverse_line(L40_2258_9))
% 293.42/42.91
% 293.42/42.91 [25955] CLOSURE : ~left_apart_point(A39_2258_9, L40_2258_9)
% 293.42/42.91
% 293.42/42.91 [25635] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1118_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1118_8)))
% 293.42/42.91 -> [25646] ~unequally_directed_lines(skolem_N7979, M38_1118_8)
% 293.42/42.91 -> [25647] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1118_8))
% 293.42/42.91
% 293.42/42.91 [25646] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1118_8)
% 293.42/42.91
% 293.42/42.91 [25647] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1118_8))
% 293.42/42.91
% 293.42/42.91 [264] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.91 -> [401] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))
% 293.42/42.91 -> [402] ~~(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)))
% 293.42/42.91
% 293.42/42.91 [401] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.91 -> [619] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))
% 293.42/42.91 -> [620] ~~(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)))
% 293.42/42.91
% 293.42/42.91 [619] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.91 -> [1852] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.91
% 293.42/42.91 [1852] 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))))
% 293.42/42.91 -> [1929] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.91
% 293.42/42.91 [1929] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.91 -> [1932] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.91 -> [1933] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.91
% 293.42/42.91 [1932] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.91
% 293.42/42.91 [1933] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.91 -> [1972] distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.91 -> [1973] distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.91
% 293.42/42.91 [1973] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.91
% 293.42/42.91 [1972] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.91 -> [1990] ~distinct_lines(N27_4_3, N27_4_3)
% 293.42/42.91
% 293.42/42.91 [1990] 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))))
% 293.42/42.91 -> [1996] (distinct_lines(N27_4_3, N27_4_3) => (distinct_lines(N27_4_3, N27_4_3) | distinct_lines(N27_4_3, N27_4_3)))
% 293.42/42.91
% 293.42/42.91 [1996] BETA_IMPLY : (distinct_lines(N27_4_3, N27_4_3) => (distinct_lines(N27_4_3, N27_4_3) | distinct_lines(N27_4_3, N27_4_3)))
% 293.42/42.91 -> [1997] ~distinct_lines(N27_4_3, N27_4_3)
% 293.42/42.91 -> [1998] (distinct_lines(N27_4_3, N27_4_3) | distinct_lines(N27_4_3, N27_4_3))
% 293.42/42.91
% 293.42/42.91 [1998] BETA_OR : (distinct_lines(N27_4_3, N27_4_3) | distinct_lines(N27_4_3, N27_4_3))
% 293.42/42.91 -> [2005] distinct_lines(N27_4_3, N27_4_3)
% 293.42/42.91 -> [2006] distinct_lines(N27_4_3, N27_4_3)
% 293.42/42.91
% 293.42/42.91 [2006] CLOSURE : distinct_lines(N27_4_3, N27_4_3)
% 293.42/42.91
% 293.42/42.91 [2005] CLOSURE : distinct_lines(N27_4_3, N27_4_3)
% 293.42/42.91
% 293.42/42.91 [1997] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.91 -> [2015] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [2015] 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))))
% 293.42/42.91 -> [2022] (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))))
% 293.42/42.91
% 293.42/42.91 [2022] 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))))
% 293.42/42.91 -> [2023] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91 -> [2024] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.91
% 293.42/42.91 [2023] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [2024] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.91 -> [4339] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91 -> [4340] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [4340] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [4339] 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))))))
% 293.42/42.91 -> [4598] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_14_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_14_6))) | (unequally_directed_lines(skolem_N7979, N34_14_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_14_6)))))
% 293.42/42.91
% 293.42/42.91 [4598] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_14_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_14_6))) | (unequally_directed_lines(skolem_N7979, N34_14_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_14_6)))))
% 293.42/42.91 -> [4599] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.91 -> [4600] ((unequally_directed_lines(skolem_M7878, N34_14_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_14_6))) | (unequally_directed_lines(skolem_N7979, N34_14_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_14_6))))
% 293.42/42.91
% 293.42/42.91 [4599] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.91 -> [4608] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.91 -> [4609] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [4609] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [4608] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.91
% 293.42/42.91 [4600] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_14_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_14_6))) | (unequally_directed_lines(skolem_N7979, N34_14_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_14_6))))
% 293.42/42.91 -> [4984] (unequally_directed_lines(skolem_M7878, N34_14_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_14_6)))
% 293.42/42.91 -> [4985] (unequally_directed_lines(skolem_N7979, N34_14_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_14_6)))
% 293.42/42.91
% 293.42/42.91 [4985] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_14_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_14_6)))
% 293.42/42.91 -> [4986] unequally_directed_lines(skolem_N7979, N34_14_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_14_6))
% 293.42/42.91
% 293.42/42.91 [4986] 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)))))
% 293.42/42.91 -> [5034] ((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))))
% 293.42/42.91
% 293.42/42.91 [5034] 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))))
% 293.42/42.91 -> [5037] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.91 -> [5038] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.91
% 293.42/42.91 [5037] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.91 -> [5071] ~line(reverse_line(skolem_N7979))
% 293.42/42.91 -> [5072] ~line(skolem_N7979)
% 293.42/42.91
% 293.42/42.91 [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)))))
% 293.42/42.91 -> [5161] ((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))))
% 293.42/42.91
% 293.42/42.91 [5161] 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))))
% 293.42/42.91 -> [5163] ~(unequally_directed_lines(skolem_N7979, M38_28_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_28_8)))
% 293.42/42.91 -> [5164] (left_convergent_lines(skolem_N7979, M38_28_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_28_8)))
% 293.42/42.91
% 293.42/42.91 [5163] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_28_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_28_8)))
% 293.42/42.91 -> [5205] ~unequally_directed_lines(skolem_N7979, M38_28_8)
% 293.42/42.91 -> [5206] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_28_8))
% 293.42/42.91
% 293.42/42.91 [5206] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_28_8))
% 293.42/42.91
% 293.42/42.91 [5205] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_28_8)
% 293.42/42.91
% 293.42/42.91 [5164] BETA_OR : (left_convergent_lines(skolem_N7979, M38_28_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_28_8)))
% 293.42/42.91 -> [5167] left_convergent_lines(skolem_N7979, M38_28_8)
% 293.42/42.91 -> [5168] left_convergent_lines(skolem_N7979, reverse_line(M38_28_8))
% 293.42/42.91
% 293.42/42.91 [5168] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [5299] ~(left_apart_point(A39_54_9, L40_54_9) | left_apart_point(A39_54_9, reverse_line(L40_54_9)))
% 293.42/42.91
% 293.42/42.91 [5299] ALPHA_NOT_OR : ~(left_apart_point(A39_54_9, L40_54_9) | left_apart_point(A39_54_9, reverse_line(L40_54_9)))
% 293.42/42.91 -> [5300] ~left_apart_point(A39_54_9, L40_54_9), ~left_apart_point(A39_54_9, reverse_line(L40_54_9))
% 293.42/42.91
% 293.42/42.91 [5300] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.91 -> [5462] ~(left_convergent_lines(L41_24_10, M42_24_10) | left_convergent_lines(L41_24_10, reverse_line(M42_24_10)))
% 293.42/42.91
% 293.42/42.91 [5462] ALPHA_NOT_OR : ~(left_convergent_lines(L41_24_10, M42_24_10) | left_convergent_lines(L41_24_10, reverse_line(M42_24_10)))
% 293.42/42.91 -> [5463] ~left_convergent_lines(L41_24_10, M42_24_10), ~left_convergent_lines(L41_24_10, reverse_line(M42_24_10))
% 293.42/42.91
% 293.42/42.91 [5463] CLOSURE : ~left_convergent_lines(L41_24_10, M42_24_10)
% 293.42/42.91
% 293.42/42.91 [5167] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [5326] ~(left_apart_point(A39_58_9, L40_58_9) | left_apart_point(A39_58_9, reverse_line(L40_58_9)))
% 293.42/42.91
% 293.42/42.91 [5326] ALPHA_NOT_OR : ~(left_apart_point(A39_58_9, L40_58_9) | left_apart_point(A39_58_9, reverse_line(L40_58_9)))
% 293.42/42.91 -> [5327] ~left_apart_point(A39_58_9, L40_58_9), ~left_apart_point(A39_58_9, reverse_line(L40_58_9))
% 293.42/42.91
% 293.42/42.91 [5327] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.91 -> [5488] ~(left_convergent_lines(L41_26_10, M42_26_10) | left_convergent_lines(L41_26_10, reverse_line(M42_26_10)))
% 293.42/42.91
% 293.42/42.91 [5488] ALPHA_NOT_OR : ~(left_convergent_lines(L41_26_10, M42_26_10) | left_convergent_lines(L41_26_10, reverse_line(M42_26_10)))
% 293.42/42.91 -> [5491] ~left_convergent_lines(L41_26_10, M42_26_10), ~left_convergent_lines(L41_26_10, reverse_line(M42_26_10))
% 293.42/42.91
% 293.42/42.91 [5491] CLOSURE : ~left_convergent_lines(L41_26_10, M42_26_10)
% 293.42/42.91
% 293.42/42.91 [5071] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [5193] ((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))))
% 293.42/42.91
% 293.42/42.91 [5193] 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))))
% 293.42/42.91 -> [5196] ~(unequally_directed_lines(skolem_N7979, M38_31_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_31_8)))
% 293.42/42.91 -> [5197] (left_convergent_lines(skolem_N7979, M38_31_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_31_8)))
% 293.42/42.91
% 293.42/42.91 [5196] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_31_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_31_8)))
% 293.42/42.91 -> [5233] ~unequally_directed_lines(skolem_N7979, M38_31_8)
% 293.42/42.91 -> [5234] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_31_8))
% 293.42/42.91
% 293.42/42.91 [5234] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_31_8))
% 293.42/42.91
% 293.42/42.91 [5233] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_31_8)
% 293.42/42.91
% 293.42/42.91 [5197] BETA_OR : (left_convergent_lines(skolem_N7979, M38_31_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_31_8)))
% 293.42/42.91 -> [5201] left_convergent_lines(skolem_N7979, M38_31_8)
% 293.42/42.91 -> [5202] left_convergent_lines(skolem_N7979, reverse_line(M38_31_8))
% 293.42/42.91
% 293.42/42.91 [5201] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [5347] ~(left_apart_point(A39_63_9, L40_63_9) | left_apart_point(A39_63_9, reverse_line(L40_63_9)))
% 293.42/42.91
% 293.42/42.91 [5347] ALPHA_NOT_OR : ~(left_apart_point(A39_63_9, L40_63_9) | left_apart_point(A39_63_9, reverse_line(L40_63_9)))
% 293.42/42.91 -> [5352] ~left_apart_point(A39_63_9, L40_63_9), ~left_apart_point(A39_63_9, reverse_line(L40_63_9))
% 293.42/42.91
% 293.42/42.91 [5352] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.91 -> [5509] ~(left_convergent_lines(L41_29_10, M42_29_10) | left_convergent_lines(L41_29_10, reverse_line(M42_29_10)))
% 293.42/42.91
% 293.42/42.91 [5509] ALPHA_NOT_OR : ~(left_convergent_lines(L41_29_10, M42_29_10) | left_convergent_lines(L41_29_10, reverse_line(M42_29_10)))
% 293.42/42.91 -> [5510] ~left_convergent_lines(L41_29_10, M42_29_10), ~left_convergent_lines(L41_29_10, reverse_line(M42_29_10))
% 293.42/42.91
% 293.42/42.91 [5510] CLOSURE : ~left_convergent_lines(L41_29_10, M42_29_10)
% 293.42/42.91
% 293.42/42.91 [5202] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [5319] ~(left_apart_point(A39_57_9, L40_57_9) | left_apart_point(A39_57_9, reverse_line(L40_57_9)))
% 293.42/42.91
% 293.42/42.91 [5319] ALPHA_NOT_OR : ~(left_apart_point(A39_57_9, L40_57_9) | left_apart_point(A39_57_9, reverse_line(L40_57_9)))
% 293.42/42.91 -> [5321] ~left_apart_point(A39_57_9, L40_57_9), ~left_apart_point(A39_57_9, reverse_line(L40_57_9))
% 293.42/42.91
% 293.42/42.91 [5321] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.91 -> [5479] ~(left_convergent_lines(L41_25_10, M42_25_10) | left_convergent_lines(L41_25_10, reverse_line(M42_25_10)))
% 293.42/42.91
% 293.42/42.91 [5479] ALPHA_NOT_OR : ~(left_convergent_lines(L41_25_10, M42_25_10) | left_convergent_lines(L41_25_10, reverse_line(M42_25_10)))
% 293.42/42.91 -> [5482] ~left_convergent_lines(L41_25_10, M42_25_10), ~left_convergent_lines(L41_25_10, reverse_line(M42_25_10))
% 293.42/42.91
% 293.42/42.91 [5482] CLOSURE : ~left_convergent_lines(L41_25_10, M42_25_10)
% 293.42/42.91
% 293.42/42.91 [5038] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.91 -> [5041] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 293.42/42.91 -> [5042] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [5042] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [5041] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [6104] ((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))))
% 293.42/42.91
% 293.42/42.91 [6104] 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))))
% 293.42/42.91 -> [6105] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.91 -> [6106] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.91
% 293.42/42.91 [6105] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.91 -> [6123] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.91 -> [6124] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [6124] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [6123] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.91
% 293.42/42.91 [6106] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.91 -> [6109] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.91 -> [6110] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [6110] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [6169] ~(left_apart_point(A39_73_9, L40_73_9) | left_apart_point(A39_73_9, reverse_line(L40_73_9)))
% 293.42/42.91
% 293.42/42.91 [6169] ALPHA_NOT_OR : ~(left_apart_point(A39_73_9, L40_73_9) | left_apart_point(A39_73_9, reverse_line(L40_73_9)))
% 293.42/42.91 -> [6172] ~left_apart_point(A39_73_9, L40_73_9), ~left_apart_point(A39_73_9, reverse_line(L40_73_9))
% 293.42/42.91
% 293.42/42.91 [6172] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.91 -> [6283] ~(left_convergent_lines(L41_32_10, M42_32_10) | left_convergent_lines(L41_32_10, reverse_line(M42_32_10)))
% 293.42/42.91
% 293.42/42.91 [6283] ALPHA_NOT_OR : ~(left_convergent_lines(L41_32_10, M42_32_10) | left_convergent_lines(L41_32_10, reverse_line(M42_32_10)))
% 293.42/42.91 -> [6284] ~left_convergent_lines(L41_32_10, M42_32_10), ~left_convergent_lines(L41_32_10, reverse_line(M42_32_10))
% 293.42/42.91
% 293.42/42.91 [6284] CLOSURE : ~left_convergent_lines(L41_32_10, M42_32_10)
% 293.42/42.91
% 293.42/42.91 [6109] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [6192] ~(left_apart_point(A39_75_9, L40_75_9) | left_apart_point(A39_75_9, reverse_line(L40_75_9)))
% 293.42/42.91
% 293.42/42.91 [6192] ALPHA_NOT_OR : ~(left_apart_point(A39_75_9, L40_75_9) | left_apart_point(A39_75_9, reverse_line(L40_75_9)))
% 293.42/42.91 -> [6193] ~left_apart_point(A39_75_9, L40_75_9), ~left_apart_point(A39_75_9, reverse_line(L40_75_9))
% 293.42/42.91
% 293.42/42.91 [6193] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.91 -> [6299] ~(left_convergent_lines(L41_33_10, M42_33_10) | left_convergent_lines(L41_33_10, reverse_line(M42_33_10)))
% 293.42/42.91
% 293.42/42.91 [6299] ALPHA_NOT_OR : ~(left_convergent_lines(L41_33_10, M42_33_10) | left_convergent_lines(L41_33_10, reverse_line(M42_33_10)))
% 293.42/42.91 -> [6300] ~left_convergent_lines(L41_33_10, M42_33_10), ~left_convergent_lines(L41_33_10, reverse_line(M42_33_10))
% 293.42/42.91
% 293.42/42.91 [6300] CLOSURE : ~left_convergent_lines(L41_33_10, M42_33_10)
% 293.42/42.91
% 293.42/42.91 [4984] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_14_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_14_6)))
% 293.42/42.91 -> [4991] unequally_directed_lines(skolem_M7878, N34_14_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_14_6))
% 293.42/42.91
% 293.42/42.91 [4991] 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)))))
% 293.42/42.91 -> [5058] ((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)))))
% 293.42/42.91
% 293.42/42.91 [5058] 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)))))
% 293.42/42.91 -> [5059] ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.91 -> [5060] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 293.42/42.91
% 293.42/42.91 [5059] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.91 -> [5101] ~line(reverse_line(skolem_N7979))
% 293.42/42.91 -> [5102] ~line(reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [5102] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [5186] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.91
% 293.42/42.91 [5186] 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))))
% 293.42/42.91 -> [5187] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [5188] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91
% 293.42/42.91 [5187] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [5224] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91 -> [5225] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [5225] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [5224] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [5188] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [5190] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91 -> [5191] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [5190] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [5339] ~(left_apart_point(A39_61_9, L40_61_9) | left_apart_point(A39_61_9, reverse_line(L40_61_9)))
% 293.42/42.91
% 293.42/42.91 [5339] ALPHA_NOT_OR : ~(left_apart_point(A39_61_9, L40_61_9) | left_apart_point(A39_61_9, reverse_line(L40_61_9)))
% 293.42/42.91 -> [5340] ~left_apart_point(A39_61_9, L40_61_9), ~left_apart_point(A39_61_9, reverse_line(L40_61_9))
% 293.42/42.91
% 293.42/42.91 [5340] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.91 -> [5494] ~(left_convergent_lines(L41_27_10, M42_27_10) | left_convergent_lines(L41_27_10, reverse_line(M42_27_10)))
% 293.42/42.91
% 293.42/42.91 [5494] ALPHA_NOT_OR : ~(left_convergent_lines(L41_27_10, M42_27_10) | left_convergent_lines(L41_27_10, reverse_line(M42_27_10)))
% 293.42/42.91 -> [5497] ~left_convergent_lines(L41_27_10, M42_27_10), ~left_convergent_lines(L41_27_10, reverse_line(M42_27_10))
% 293.42/42.91
% 293.42/42.91 [5497] CLOSURE : ~left_convergent_lines(L41_27_10, M42_27_10)
% 293.42/42.91
% 293.42/42.91 [5191] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [5343] ~(left_apart_point(A39_62_9, L40_62_9) | left_apart_point(A39_62_9, reverse_line(L40_62_9)))
% 293.42/42.91
% 293.42/42.91 [5343] ALPHA_NOT_OR : ~(left_apart_point(A39_62_9, L40_62_9) | left_apart_point(A39_62_9, reverse_line(L40_62_9)))
% 293.42/42.91 -> [5344] ~left_apart_point(A39_62_9, L40_62_9), ~left_apart_point(A39_62_9, reverse_line(L40_62_9))
% 293.42/42.91
% 293.42/42.91 [5344] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.91 -> [5500] ~(left_convergent_lines(L41_28_10, M42_28_10) | left_convergent_lines(L41_28_10, reverse_line(M42_28_10)))
% 293.42/42.91
% 293.42/42.91 [5500] ALPHA_NOT_OR : ~(left_convergent_lines(L41_28_10, M42_28_10) | left_convergent_lines(L41_28_10, reverse_line(M42_28_10)))
% 293.42/42.91 -> [5502] ~left_convergent_lines(L41_28_10, M42_28_10), ~left_convergent_lines(L41_28_10, reverse_line(M42_28_10))
% 293.42/42.91
% 293.42/42.91 [5502] CLOSURE : ~left_convergent_lines(L41_28_10, M42_28_10)
% 293.42/42.91
% 293.42/42.91 [5101] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [5248] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.91
% 293.42/42.91 [5248] 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))))
% 293.42/42.91 -> [5249] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [5250] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91
% 293.42/42.91 [5249] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [5292] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91 -> [5293] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [5293] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [5292] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [5250] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [5252] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91 -> [5253] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [5253] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [5373] ~(left_apart_point(A39_64_9, L40_64_9) | left_apart_point(A39_64_9, reverse_line(L40_64_9)))
% 293.42/42.91
% 293.42/42.91 [5373] ALPHA_NOT_OR : ~(left_apart_point(A39_64_9, L40_64_9) | left_apart_point(A39_64_9, reverse_line(L40_64_9)))
% 293.42/42.91 -> [5374] ~left_apart_point(A39_64_9, L40_64_9), ~left_apart_point(A39_64_9, reverse_line(L40_64_9))
% 293.42/42.91
% 293.42/42.91 [5374] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.91 -> [5522] ~(left_convergent_lines(L41_30_10, M42_30_10) | left_convergent_lines(L41_30_10, reverse_line(M42_30_10)))
% 293.42/42.91
% 293.42/42.91 [5522] ALPHA_NOT_OR : ~(left_convergent_lines(L41_30_10, M42_30_10) | left_convergent_lines(L41_30_10, reverse_line(M42_30_10)))
% 293.42/42.91 -> [5525] ~left_convergent_lines(L41_30_10, M42_30_10), ~left_convergent_lines(L41_30_10, reverse_line(M42_30_10))
% 293.42/42.91
% 293.42/42.91 [5525] CLOSURE : ~left_convergent_lines(L41_30_10, M42_30_10)
% 293.42/42.91
% 293.42/42.91 [5252] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [5401] ~(left_apart_point(A39_65_9, L40_65_9) | left_apart_point(A39_65_9, reverse_line(L40_65_9)))
% 293.42/42.91
% 293.42/42.91 [5401] ALPHA_NOT_OR : ~(left_apart_point(A39_65_9, L40_65_9) | left_apart_point(A39_65_9, reverse_line(L40_65_9)))
% 293.42/42.91 -> [5402] ~left_apart_point(A39_65_9, L40_65_9), ~left_apart_point(A39_65_9, reverse_line(L40_65_9))
% 293.42/42.91
% 293.42/42.91 [5402] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.91 -> [5531] ~(left_convergent_lines(L41_31_10, M42_31_10) | left_convergent_lines(L41_31_10, reverse_line(M42_31_10)))
% 293.42/42.91
% 293.42/42.91 [5531] ALPHA_NOT_OR : ~(left_convergent_lines(L41_31_10, M42_31_10) | left_convergent_lines(L41_31_10, reverse_line(M42_31_10)))
% 293.42/42.91 -> [5532] ~left_convergent_lines(L41_31_10, M42_31_10), ~left_convergent_lines(L41_31_10, reverse_line(M42_31_10))
% 293.42/42.91
% 293.42/42.91 [5532] CLOSURE : ~left_convergent_lines(L41_31_10, M42_31_10)
% 293.42/42.91
% 293.42/42.91 [5060] 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))))
% 293.42/42.91 -> [5061] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.91 -> [5062] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 293.42/42.91
% 293.42/42.91 [5061] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [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)))))
% 293.42/42.91 -> [6752] ((unequally_directed_lines(skolem_M7878, M38_44_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_44_8))) => (left_convergent_lines(skolem_M7878, M38_44_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_44_8))))
% 293.42/42.91
% 293.42/42.91 [6752] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_44_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_44_8))) => (left_convergent_lines(skolem_M7878, M38_44_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_44_8))))
% 293.42/42.91 -> [6753] ~(unequally_directed_lines(skolem_M7878, M38_44_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_44_8)))
% 293.42/42.91 -> [6754] (left_convergent_lines(skolem_M7878, M38_44_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_44_8)))
% 293.42/42.91
% 293.42/42.91 [6753] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_44_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_44_8)))
% 293.42/42.91 -> [6851] ~unequally_directed_lines(skolem_M7878, M38_44_8)
% 293.42/42.91 -> [6852] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_44_8))
% 293.42/42.91
% 293.42/42.91 [6852] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_44_8))
% 293.42/42.91
% 293.42/42.91 [6851] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_44_8)
% 293.42/42.91
% 293.42/42.91 [6754] BETA_OR : (left_convergent_lines(skolem_M7878, M38_44_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_44_8)))
% 293.42/42.91 -> [6755] left_convergent_lines(skolem_M7878, M38_44_8)
% 293.42/42.91 -> [6756] left_convergent_lines(skolem_M7878, reverse_line(M38_44_8))
% 293.42/42.91
% 293.42/42.91 [6756] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [7409] ~(left_apart_point(A39_110_9, L40_110_9) | left_apart_point(A39_110_9, reverse_line(L40_110_9)))
% 293.42/42.91
% 293.42/42.91 [7409] ALPHA_NOT_OR : ~(left_apart_point(A39_110_9, L40_110_9) | left_apart_point(A39_110_9, reverse_line(L40_110_9)))
% 293.42/42.91 -> [7417] ~left_apart_point(A39_110_9, L40_110_9), ~left_apart_point(A39_110_9, reverse_line(L40_110_9))
% 293.42/42.91
% 293.42/42.91 [7417] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.91 -> [7520] ~(left_convergent_lines(L41_40_10, M42_40_10) | left_convergent_lines(L41_40_10, reverse_line(M42_40_10)))
% 293.42/42.91
% 293.42/42.91 [7520] ALPHA_NOT_OR : ~(left_convergent_lines(L41_40_10, M42_40_10) | left_convergent_lines(L41_40_10, reverse_line(M42_40_10)))
% 293.42/42.91 -> [7523] ~left_convergent_lines(L41_40_10, M42_40_10), ~left_convergent_lines(L41_40_10, reverse_line(M42_40_10))
% 293.42/42.91
% 293.42/42.91 [7523] CLOSURE : ~left_convergent_lines(L41_40_10, M42_40_10)
% 293.42/42.91
% 293.42/42.91 [6755] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [7118] ~(left_apart_point(A39_90_9, L40_90_9) | left_apart_point(A39_90_9, reverse_line(L40_90_9)))
% 293.42/42.91
% 293.42/42.91 [7118] ALPHA_NOT_OR : ~(left_apart_point(A39_90_9, L40_90_9) | left_apart_point(A39_90_9, reverse_line(L40_90_9)))
% 293.42/42.91 -> [7119] ~left_apart_point(A39_90_9, L40_90_9), ~left_apart_point(A39_90_9, reverse_line(L40_90_9))
% 293.42/42.91
% 293.42/42.91 [7119] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.91 -> [8020] ~(left_convergent_lines(L41_47_10, M42_47_10) | left_convergent_lines(L41_47_10, reverse_line(M42_47_10)))
% 293.42/42.91
% 293.42/42.91 [8020] ALPHA_NOT_OR : ~(left_convergent_lines(L41_47_10, M42_47_10) | left_convergent_lines(L41_47_10, reverse_line(M42_47_10)))
% 293.42/42.91 -> [8023] ~left_convergent_lines(L41_47_10, M42_47_10), ~left_convergent_lines(L41_47_10, reverse_line(M42_47_10))
% 293.42/42.91
% 293.42/42.91 [8023] CLOSURE : ~left_convergent_lines(L41_47_10, M42_47_10)
% 293.42/42.91
% 293.42/42.91 [620] 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)))
% 293.42/42.91 -> [621] (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)))
% 293.42/42.91
% 293.42/42.91 [621] 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)))
% 293.42/42.91 -> [622] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 293.42/42.91 -> [623] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [623] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.91 -> [1531] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.91
% 293.42/42.91 [1531] 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))))
% 293.42/42.91 -> [1744] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.91
% 293.42/42.91 [1744] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.91 -> [1745] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.91 -> [1746] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.91
% 293.42/42.91 [1745] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.91
% 293.42/42.91 [1746] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.91 -> [2256] distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.91 -> [2257] distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.91
% 293.42/42.91 [2257] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.91
% 293.42/42.91 [2256] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.91 -> [2340] ~distinct_lines(N27_18_3, N27_18_3)
% 293.42/42.91
% 293.42/42.91 [2340] 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))))
% 293.42/42.91 -> [2342] (distinct_lines(N27_18_3, N27_18_3) => (distinct_lines(N27_18_3, N27_18_3) | distinct_lines(N27_18_3, N27_18_3)))
% 293.42/42.91
% 293.42/42.91 [2342] 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)))
% 293.42/42.91 -> [2343] ~distinct_lines(N27_18_3, N27_18_3)
% 293.42/42.91 -> [2344] (distinct_lines(N27_18_3, N27_18_3) | distinct_lines(N27_18_3, N27_18_3))
% 293.42/42.91
% 293.42/42.91 [2344] BETA_OR : (distinct_lines(N27_18_3, N27_18_3) | distinct_lines(N27_18_3, N27_18_3))
% 293.42/42.91 -> [2345] distinct_lines(N27_18_3, N27_18_3)
% 293.42/42.91 -> [2346] distinct_lines(N27_18_3, N27_18_3)
% 293.42/42.91
% 293.42/42.91 [2345] CLOSURE : distinct_lines(N27_18_3, N27_18_3)
% 293.42/42.91
% 293.42/42.91 [2346] CLOSURE : distinct_lines(N27_18_3, N27_18_3)
% 293.42/42.91
% 293.42/42.91 [2343] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.91 -> [2368] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [2368] 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))))
% 293.42/42.91 -> [2373] (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))))
% 293.42/42.91
% 293.42/42.91 [2373] 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))))
% 293.42/42.91 -> [2374] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91 -> [2375] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.91
% 293.42/42.91 [2374] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [2375] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.91 -> [2495] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91 -> [2496] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [2496] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [2495] 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))))))
% 293.42/42.91 -> [2583] ((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)))))
% 293.42/42.91
% 293.42/42.91 [2583] 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)))))
% 293.42/42.91 -> [2585] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.91 -> [2586] ((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))))
% 293.42/42.91
% 293.42/42.91 [2585] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.91 -> [2604] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.91 -> [2605] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [2605] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [2604] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.91
% 293.42/42.91 [2586] 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))))
% 293.42/42.91 -> [2910] (unequally_directed_lines(skolem_M7878, N34_3_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_3_6)))
% 293.42/42.91 -> [2911] (unequally_directed_lines(skolem_N7979, N34_3_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_3_6)))
% 293.42/42.91
% 293.42/42.91 [2910] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_3_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_3_6)))
% 293.42/42.91 -> [2918] unequally_directed_lines(skolem_M7878, N34_3_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_3_6))
% 293.42/42.91
% 293.42/42.91 [2918] 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)))))
% 293.42/42.91 -> [2934] ((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)))))
% 293.42/42.91
% 293.42/42.91 [2934] 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)))))
% 293.42/42.91 -> [2936] ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.91 -> [2937] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 293.42/42.91
% 293.42/42.91 [2937] 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))))
% 293.42/42.91 -> [2938] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.91 -> [2939] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 293.42/42.91
% 293.42/42.91 [2938] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [2939] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.91 -> [3157] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.91
% 293.42/42.91 [3157] 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))))
% 293.42/42.91 -> [3158] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [3159] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91
% 293.42/42.91 [3159] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [3160] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91 -> [3161] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [3161] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [3189] ~(left_apart_point(A39_24_9, L40_24_9) | left_apart_point(A39_24_9, reverse_line(L40_24_9)))
% 293.42/42.91
% 293.42/42.91 [3189] ALPHA_NOT_OR : ~(left_apart_point(A39_24_9, L40_24_9) | left_apart_point(A39_24_9, reverse_line(L40_24_9)))
% 293.42/42.91 -> [3190] ~left_apart_point(A39_24_9, L40_24_9), ~left_apart_point(A39_24_9, reverse_line(L40_24_9))
% 293.42/42.91
% 293.42/42.91 [3190] CLOSURE : ~left_apart_point(A39_24_9, L40_24_9)
% 293.42/42.91
% 293.42/42.91 [3160] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.91 -> [3193] ~(left_apart_point(A39_25_9, L40_25_9) | left_apart_point(A39_25_9, reverse_line(L40_25_9)))
% 293.42/42.91
% 293.42/42.91 [3193] ALPHA_NOT_OR : ~(left_apart_point(A39_25_9, L40_25_9) | left_apart_point(A39_25_9, reverse_line(L40_25_9)))
% 293.42/42.91 -> [3194] ~left_apart_point(A39_25_9, L40_25_9), ~left_apart_point(A39_25_9, reverse_line(L40_25_9))
% 293.42/42.91
% 293.42/42.91 [3194] CLOSURE : ~left_apart_point(A39_25_9, L40_25_9)
% 293.42/42.91
% 293.42/42.91 [3158] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.91 -> [3165] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91 -> [3166] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [3165] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.91
% 293.42/42.91 [3166] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.91
% 293.42/42.91 [2936] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.91 -> [2943] ~line(reverse_line(skolem_N7979))
% 293.42/42.91 -> [2944] ~line(reverse_line(skolem_N7979))
% 293.42/42.91
% 293.42/42.91 [2944] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [2962] ((unequally_directed_lines(skolem_M7878, M38_11_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_11_8))) => (left_convergent_lines(skolem_M7878, M38_11_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_11_8))))
% 293.42/42.92
% 293.42/42.92 [2962] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_11_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_11_8))) => (left_convergent_lines(skolem_M7878, M38_11_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_11_8))))
% 293.42/42.92 -> [2963] ~(unequally_directed_lines(skolem_M7878, M38_11_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_11_8)))
% 293.42/42.92 -> [2964] (left_convergent_lines(skolem_M7878, M38_11_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_11_8)))
% 293.42/42.92
% 293.42/42.92 [2964] BETA_OR : (left_convergent_lines(skolem_M7878, M38_11_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_11_8)))
% 293.42/42.92 -> [2965] left_convergent_lines(skolem_M7878, M38_11_8)
% 293.42/42.92 -> [2966] left_convergent_lines(skolem_M7878, reverse_line(M38_11_8))
% 293.42/42.92
% 293.42/42.92 [2965] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [3119] ~(left_apart_point(A39_20_9, L40_20_9) | left_apart_point(A39_20_9, reverse_line(L40_20_9)))
% 293.42/42.92
% 293.42/42.92 [3119] ALPHA_NOT_OR : ~(left_apart_point(A39_20_9, L40_20_9) | left_apart_point(A39_20_9, reverse_line(L40_20_9)))
% 293.42/42.92 -> [3120] ~left_apart_point(A39_20_9, L40_20_9), ~left_apart_point(A39_20_9, reverse_line(L40_20_9))
% 293.42/42.92
% 293.42/42.92 [3120] CLOSURE : ~left_apart_point(A39_20_9, L40_20_9)
% 293.42/42.92
% 293.42/42.92 [2966] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [3148] ~(left_apart_point(A39_23_9, L40_23_9) | left_apart_point(A39_23_9, reverse_line(L40_23_9)))
% 293.42/42.92
% 293.42/42.92 [3148] ALPHA_NOT_OR : ~(left_apart_point(A39_23_9, L40_23_9) | left_apart_point(A39_23_9, reverse_line(L40_23_9)))
% 293.42/42.92 -> [3149] ~left_apart_point(A39_23_9, L40_23_9), ~left_apart_point(A39_23_9, reverse_line(L40_23_9))
% 293.42/42.92
% 293.42/42.92 [3149] CLOSURE : ~left_apart_point(A39_23_9, L40_23_9)
% 293.42/42.92
% 293.42/42.92 [2963] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_11_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_11_8)))
% 293.42/42.92 -> [2973] ~unequally_directed_lines(skolem_M7878, M38_11_8)
% 293.42/42.92 -> [2974] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_11_8))
% 293.42/42.92
% 293.42/42.92 [2974] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_11_8))
% 293.42/42.92
% 293.42/42.92 [2973] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_11_8)
% 293.42/42.92
% 293.42/42.92 [2943] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [2981] ((unequally_directed_lines(skolem_M7878, M38_12_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_12_8))) => (left_convergent_lines(skolem_M7878, M38_12_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_12_8))))
% 293.42/42.92
% 293.42/42.92 [2981] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_12_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_12_8))) => (left_convergent_lines(skolem_M7878, M38_12_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_12_8))))
% 293.42/42.92 -> [2984] ~(unequally_directed_lines(skolem_M7878, M38_12_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_12_8)))
% 293.42/42.92 -> [2985] (left_convergent_lines(skolem_M7878, M38_12_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_12_8)))
% 293.42/42.92
% 293.42/42.92 [2985] BETA_OR : (left_convergent_lines(skolem_M7878, M38_12_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_12_8)))
% 293.42/42.92 -> [2986] left_convergent_lines(skolem_M7878, M38_12_8)
% 293.42/42.92 -> [2987] left_convergent_lines(skolem_M7878, reverse_line(M38_12_8))
% 293.42/42.92
% 293.42/42.92 [2987] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [3014] ~(left_apart_point(A39_16_9, L40_16_9) | left_apart_point(A39_16_9, reverse_line(L40_16_9)))
% 293.42/42.92
% 293.42/42.92 [3014] ALPHA_NOT_OR : ~(left_apart_point(A39_16_9, L40_16_9) | left_apart_point(A39_16_9, reverse_line(L40_16_9)))
% 293.42/42.92 -> [3015] ~left_apart_point(A39_16_9, L40_16_9), ~left_apart_point(A39_16_9, reverse_line(L40_16_9))
% 293.42/42.92
% 293.42/42.92 [3015] CLOSURE : ~left_apart_point(A39_16_9, L40_16_9)
% 293.42/42.92
% 293.42/42.92 [2986] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [3018] ~(left_apart_point(A39_17_9, L40_17_9) | left_apart_point(A39_17_9, reverse_line(L40_17_9)))
% 293.42/42.92
% 293.42/42.92 [3018] ALPHA_NOT_OR : ~(left_apart_point(A39_17_9, L40_17_9) | left_apart_point(A39_17_9, reverse_line(L40_17_9)))
% 293.42/42.92 -> [3019] ~left_apart_point(A39_17_9, L40_17_9), ~left_apart_point(A39_17_9, reverse_line(L40_17_9))
% 293.42/42.92
% 293.42/42.92 [3019] CLOSURE : ~left_apart_point(A39_17_9, L40_17_9)
% 293.42/42.92
% 293.42/42.92 [2984] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_12_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_12_8)))
% 293.42/42.92 -> [2997] ~unequally_directed_lines(skolem_M7878, M38_12_8)
% 293.42/42.92 -> [2998] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_12_8))
% 293.42/42.92
% 293.42/42.92 [2997] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_12_8)
% 293.42/42.92
% 293.42/42.92 [2998] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_12_8))
% 293.42/42.92
% 293.42/42.92 [2911] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_3_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_3_6)))
% 293.42/42.92 -> [2915] unequally_directed_lines(skolem_N7979, N34_3_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_3_6))
% 293.42/42.92
% 293.42/42.92 [2915] 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)))))
% 293.42/42.92 -> [2990] ((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)))))
% 293.42/42.92
% 293.42/42.92 [2990] 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)))))
% 293.42/42.92 -> [2991] ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.92 -> [2992] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 293.42/42.92
% 293.42/42.92 [2991] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.92 -> [3031] ~line(reverse_line(skolem_N7979))
% 293.42/42.92 -> [3032] ~line(reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [3031] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [3052] ((unequally_directed_lines(skolem_N7979, M38_14_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_14_8))) => (left_convergent_lines(skolem_N7979, M38_14_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_14_8))))
% 293.42/42.92
% 293.42/42.92 [3052] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_14_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_14_8))) => (left_convergent_lines(skolem_N7979, M38_14_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_14_8))))
% 293.42/42.92 -> [3058] ~(unequally_directed_lines(skolem_N7979, M38_14_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_14_8)))
% 293.42/42.92 -> [3059] (left_convergent_lines(skolem_N7979, M38_14_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_14_8)))
% 293.42/42.92
% 293.42/42.92 [3059] BETA_OR : (left_convergent_lines(skolem_N7979, M38_14_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_14_8)))
% 293.42/42.92 -> [3060] left_convergent_lines(skolem_N7979, M38_14_8)
% 293.42/42.92 -> [3061] left_convergent_lines(skolem_N7979, reverse_line(M38_14_8))
% 293.42/42.92
% 293.42/42.92 [3061] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [3104] ~(left_apart_point(A39_19_9, L40_19_9) | left_apart_point(A39_19_9, reverse_line(L40_19_9)))
% 293.42/42.92
% 293.42/42.92 [3104] ALPHA_NOT_OR : ~(left_apart_point(A39_19_9, L40_19_9) | left_apart_point(A39_19_9, reverse_line(L40_19_9)))
% 293.42/42.92 -> [3105] ~left_apart_point(A39_19_9, L40_19_9), ~left_apart_point(A39_19_9, reverse_line(L40_19_9))
% 293.42/42.92
% 293.42/42.92 [3105] CLOSURE : ~left_apart_point(A39_19_9, L40_19_9)
% 293.42/42.92
% 293.42/42.92 [3060] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [3121] ~(left_apart_point(A39_21_9, L40_21_9) | left_apart_point(A39_21_9, reverse_line(L40_21_9)))
% 293.42/42.92
% 293.42/42.92 [3121] ALPHA_NOT_OR : ~(left_apart_point(A39_21_9, L40_21_9) | left_apart_point(A39_21_9, reverse_line(L40_21_9)))
% 293.42/42.92 -> [3124] ~left_apart_point(A39_21_9, L40_21_9), ~left_apart_point(A39_21_9, reverse_line(L40_21_9))
% 293.42/42.92
% 293.42/42.92 [3124] CLOSURE : ~left_apart_point(A39_21_9, L40_21_9)
% 293.42/42.92
% 293.42/42.92 [3058] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_14_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_14_8)))
% 293.42/42.92 -> [3073] ~unequally_directed_lines(skolem_N7979, M38_14_8)
% 293.42/42.92 -> [3074] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_14_8))
% 293.42/42.92
% 293.42/42.92 [3074] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_14_8))
% 293.42/42.92
% 293.42/42.92 [3073] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_14_8)
% 293.42/42.92
% 293.42/42.92 [3032] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [3045] ((unequally_directed_lines(skolem_N7979, M38_13_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_13_8))) => (left_convergent_lines(skolem_N7979, M38_13_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_13_8))))
% 293.42/42.92
% 293.42/42.92 [3045] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_13_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_13_8))) => (left_convergent_lines(skolem_N7979, M38_13_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_13_8))))
% 293.42/42.92 -> [3046] ~(unequally_directed_lines(skolem_N7979, M38_13_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_13_8)))
% 293.42/42.92 -> [3047] (left_convergent_lines(skolem_N7979, M38_13_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_13_8)))
% 293.42/42.92
% 293.42/42.92 [3046] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_13_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_13_8)))
% 293.42/42.92 -> [3068] ~unequally_directed_lines(skolem_N7979, M38_13_8)
% 293.42/42.92 -> [3069] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_13_8))
% 293.42/42.92
% 293.42/42.92 [3069] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_13_8))
% 293.42/42.92
% 293.42/42.92 [3068] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_13_8)
% 293.42/42.92
% 293.42/42.92 [3047] BETA_OR : (left_convergent_lines(skolem_N7979, M38_13_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_13_8)))
% 293.42/42.92 -> [3050] left_convergent_lines(skolem_N7979, M38_13_8)
% 293.42/42.92 -> [3051] left_convergent_lines(skolem_N7979, reverse_line(M38_13_8))
% 293.42/42.92
% 293.42/42.92 [3051] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [3102] ~(left_apart_point(A39_18_9, L40_18_9) | left_apart_point(A39_18_9, reverse_line(L40_18_9)))
% 293.42/42.92
% 293.42/42.92 [3102] ALPHA_NOT_OR : ~(left_apart_point(A39_18_9, L40_18_9) | left_apart_point(A39_18_9, reverse_line(L40_18_9)))
% 293.42/42.92 -> [3103] ~left_apart_point(A39_18_9, L40_18_9), ~left_apart_point(A39_18_9, reverse_line(L40_18_9))
% 293.42/42.92
% 293.42/42.92 [3103] CLOSURE : ~left_apart_point(A39_18_9, L40_18_9)
% 293.42/42.92
% 293.42/42.92 [3050] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [3130] ~(left_apart_point(A39_22_9, L40_22_9) | left_apart_point(A39_22_9, reverse_line(L40_22_9)))
% 293.42/42.92
% 293.42/42.92 [3130] ALPHA_NOT_OR : ~(left_apart_point(A39_22_9, L40_22_9) | left_apart_point(A39_22_9, reverse_line(L40_22_9)))
% 293.42/42.92 -> [3131] ~left_apart_point(A39_22_9, L40_22_9), ~left_apart_point(A39_22_9, reverse_line(L40_22_9))
% 293.42/42.92
% 293.42/42.92 [3131] CLOSURE : ~left_apart_point(A39_22_9, L40_22_9)
% 293.42/42.92
% 293.42/42.92 [2992] 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))))
% 293.42/42.92 -> [2994] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.92 -> [2995] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 293.42/42.92
% 293.42/42.92 [2994] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [2995] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [3535] ((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))))
% 293.42/42.92
% 293.42/42.92 [3535] 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))))
% 293.42/42.92 -> [3536] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [3537] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92
% 293.42/42.92 [3537] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [3541] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92 -> [3542] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [3541] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [3577] ~(left_apart_point(A39_26_9, L40_26_9) | left_apart_point(A39_26_9, reverse_line(L40_26_9)))
% 293.42/42.92
% 293.42/42.92 [3577] ALPHA_NOT_OR : ~(left_apart_point(A39_26_9, L40_26_9) | left_apart_point(A39_26_9, reverse_line(L40_26_9)))
% 293.42/42.92 -> [3578] ~left_apart_point(A39_26_9, L40_26_9), ~left_apart_point(A39_26_9, reverse_line(L40_26_9))
% 293.42/42.92
% 293.42/42.92 [3578] CLOSURE : ~left_apart_point(A39_26_9, L40_26_9)
% 293.42/42.92
% 293.42/42.92 [3542] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [3581] ~(left_apart_point(A39_27_9, L40_27_9) | left_apart_point(A39_27_9, reverse_line(L40_27_9)))
% 293.42/42.92
% 293.42/42.92 [3581] ALPHA_NOT_OR : ~(left_apart_point(A39_27_9, L40_27_9) | left_apart_point(A39_27_9, reverse_line(L40_27_9)))
% 293.42/42.92 -> [3582] ~left_apart_point(A39_27_9, L40_27_9), ~left_apart_point(A39_27_9, reverse_line(L40_27_9))
% 293.42/42.92
% 293.42/42.92 [3582] CLOSURE : ~left_apart_point(A39_27_9, L40_27_9)
% 293.42/42.92
% 293.42/42.92 [3536] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [3548] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92 -> [3549] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [3549] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [3548] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92
% 293.42/42.92 [622] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.92 -> [1798] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.92
% 293.42/42.92 [1798] 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))))
% 293.42/42.92 -> [1923] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.92
% 293.42/42.92 [1923] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.92 -> [2821] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.92 -> [2822] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.92
% 293.42/42.92 [2821] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.92
% 293.42/42.92 [2822] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.92 -> [3539] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.92 -> [3540] distinct_points(skolem_A8080, skolem_B8181)
% 293.42/42.92
% 293.42/42.92 [3539] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.92
% 293.42/42.92 [3540] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.92 -> [3850] ~distinct_lines(N27_80_3, N27_80_3)
% 293.42/42.92
% 293.42/42.92 [3850] 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))))
% 293.42/42.92 -> [3897] (distinct_lines(N27_80_3, N27_80_3) => (distinct_lines(N27_80_3, N27_80_3) | distinct_lines(N27_80_3, N27_80_3)))
% 293.42/42.92
% 293.42/42.92 [3897] 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)))
% 293.42/42.92 -> [3898] ~distinct_lines(N27_80_3, N27_80_3)
% 293.42/42.92 -> [3899] (distinct_lines(N27_80_3, N27_80_3) | distinct_lines(N27_80_3, N27_80_3))
% 293.42/42.92
% 293.42/42.92 [3899] BETA_OR : (distinct_lines(N27_80_3, N27_80_3) | distinct_lines(N27_80_3, N27_80_3))
% 293.42/42.92 -> [3902] distinct_lines(N27_80_3, N27_80_3)
% 293.42/42.92 -> [3903] distinct_lines(N27_80_3, N27_80_3)
% 293.42/42.92
% 293.42/42.92 [3903] CLOSURE : distinct_lines(N27_80_3, N27_80_3)
% 293.42/42.92
% 293.42/42.92 [3902] CLOSURE : distinct_lines(N27_80_3, N27_80_3)
% 293.42/42.92
% 293.42/42.92 [3898] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.92 -> [3961] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [3961] 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))))
% 293.42/42.92 -> [4117] (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))))
% 293.42/42.92
% 293.42/42.92 [4117] 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))))
% 293.42/42.92 -> [4118] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92 -> [4119] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.92
% 293.42/42.92 [4118] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [4119] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.92 -> [6363] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92 -> [6364] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [6364] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [6363] 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))))))
% 293.42/42.92 -> [8151] ((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)))))
% 293.42/42.92
% 293.42/42.92 [8151] 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)))))
% 293.42/42.92 -> [8152] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [8153] ((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))))
% 293.42/42.92
% 293.42/42.92 [8152] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [8175] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92 -> [8176] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [8176] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [8175] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92
% 293.42/42.92 [8153] 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))))
% 293.42/42.92 -> [20510] (unequally_directed_lines(skolem_M7878, N34_76_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_76_6)))
% 293.42/42.92 -> [20511] (unequally_directed_lines(skolem_N7979, N34_76_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_76_6)))
% 293.42/42.92
% 293.42/42.92 [20511] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_76_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_76_6)))
% 293.42/42.92 -> [20512] unequally_directed_lines(skolem_N7979, N34_76_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_76_6))
% 293.42/42.92
% 293.42/42.92 [20512] 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)))))
% 293.42/42.92 -> [20757] ((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))))
% 293.42/42.92
% 293.42/42.92 [20757] 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))))
% 293.42/42.92 -> [20759] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.92 -> [20760] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.92
% 293.42/42.92 [20759] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.92 -> [20846] ~line(reverse_line(skolem_N7979))
% 293.42/42.92 -> [20847] ~line(skolem_N7979)
% 293.42/42.92
% 293.42/42.92 [20846] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [21581] ((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))))
% 293.42/42.92
% 293.42/42.92 [21581] 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))))
% 293.42/42.92 -> [21584] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [21585] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92
% 293.42/42.92 [21585] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [21588] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92 -> [21589] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [21589] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [21698] ~(left_apart_point(A39_1627_9, L40_1627_9) | left_apart_point(A39_1627_9, reverse_line(L40_1627_9)))
% 293.42/42.92
% 293.42/42.92 [21698] ALPHA_NOT_OR : ~(left_apart_point(A39_1627_9, L40_1627_9) | left_apart_point(A39_1627_9, reverse_line(L40_1627_9)))
% 293.42/42.92 -> [21702] ~left_apart_point(A39_1627_9, L40_1627_9), ~left_apart_point(A39_1627_9, reverse_line(L40_1627_9))
% 293.42/42.92
% 293.42/42.92 [21702] CLOSURE : ~left_apart_point(A39_1627_9, L40_1627_9)
% 293.42/42.92
% 293.42/42.92 [21588] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [21768] ~(left_apart_point(A39_1637_9, L40_1637_9) | left_apart_point(A39_1637_9, reverse_line(L40_1637_9)))
% 293.42/42.92
% 293.42/42.92 [21768] ALPHA_NOT_OR : ~(left_apart_point(A39_1637_9, L40_1637_9) | left_apart_point(A39_1637_9, reverse_line(L40_1637_9)))
% 293.42/42.92 -> [21769] ~left_apart_point(A39_1637_9, L40_1637_9), ~left_apart_point(A39_1637_9, reverse_line(L40_1637_9))
% 293.42/42.92
% 293.42/42.92 [21769] CLOSURE : ~left_apart_point(A39_1637_9, L40_1637_9)
% 293.42/42.92
% 293.42/42.92 [21584] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [21608] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92 -> [21609] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [21609] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [21608] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92
% 293.42/42.92 [20847] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [21144] ((unequally_directed_lines(skolem_N7979, M38_809_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_809_8))) => (left_convergent_lines(skolem_N7979, M38_809_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_809_8))))
% 293.42/42.92
% 293.42/42.92 [21144] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_809_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_809_8))) => (left_convergent_lines(skolem_N7979, M38_809_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_809_8))))
% 293.42/42.92 -> [21145] ~(unequally_directed_lines(skolem_N7979, M38_809_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_809_8)))
% 293.42/42.92 -> [21146] (left_convergent_lines(skolem_N7979, M38_809_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_809_8)))
% 293.42/42.92
% 293.42/42.92 [21145] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_809_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_809_8)))
% 293.42/42.92 -> [21590] ~unequally_directed_lines(skolem_N7979, M38_809_8)
% 293.42/42.92 -> [21591] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_809_8))
% 293.42/42.92
% 293.42/42.92 [21591] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_809_8))
% 293.42/42.92
% 293.42/42.92 [21590] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_809_8)
% 293.42/42.92
% 293.42/42.92 [21146] BETA_OR : (left_convergent_lines(skolem_N7979, M38_809_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_809_8)))
% 293.42/42.92 -> [21152] left_convergent_lines(skolem_N7979, M38_809_8)
% 293.42/42.92 -> [21153] left_convergent_lines(skolem_N7979, reverse_line(M38_809_8))
% 293.42/42.92
% 293.42/42.92 [21152] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [21778] ~(left_apart_point(A39_1639_9, L40_1639_9) | left_apart_point(A39_1639_9, reverse_line(L40_1639_9)))
% 293.42/42.92
% 293.42/42.92 [21778] ALPHA_NOT_OR : ~(left_apart_point(A39_1639_9, L40_1639_9) | left_apart_point(A39_1639_9, reverse_line(L40_1639_9)))
% 293.42/42.92 -> [21782] ~left_apart_point(A39_1639_9, L40_1639_9), ~left_apart_point(A39_1639_9, reverse_line(L40_1639_9))
% 293.42/42.92
% 293.42/42.92 [21782] CLOSURE : ~left_apart_point(A39_1639_9, L40_1639_9)
% 293.42/42.92
% 293.42/42.92 [21153] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [21985] ~(left_apart_point(A39_1673_9, L40_1673_9) | left_apart_point(A39_1673_9, reverse_line(L40_1673_9)))
% 293.42/42.92
% 293.42/42.92 [21985] ALPHA_NOT_OR : ~(left_apart_point(A39_1673_9, L40_1673_9) | left_apart_point(A39_1673_9, reverse_line(L40_1673_9)))
% 293.42/42.92 -> [21990] ~left_apart_point(A39_1673_9, L40_1673_9), ~left_apart_point(A39_1673_9, reverse_line(L40_1673_9))
% 293.42/42.92
% 293.42/42.92 [21990] CLOSURE : ~left_apart_point(A39_1673_9, L40_1673_9)
% 293.42/42.92
% 293.42/42.92 [20760] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.92 -> [20766] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 293.42/42.92 -> [20767] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [20767] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [20766] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [25117] ((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))))
% 293.42/42.92
% 293.42/42.92 [25117] 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))))
% 293.42/42.92 -> [25120] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [25121] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92
% 293.42/42.92 [25121] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [25131] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92 -> [25132] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [25132] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [25214] ~(left_apart_point(A39_2133_9, L40_2133_9) | left_apart_point(A39_2133_9, reverse_line(L40_2133_9)))
% 293.42/42.92
% 293.42/42.92 [25214] ALPHA_NOT_OR : ~(left_apart_point(A39_2133_9, L40_2133_9) | left_apart_point(A39_2133_9, reverse_line(L40_2133_9)))
% 293.42/42.92 -> [25215] ~left_apart_point(A39_2133_9, L40_2133_9), ~left_apart_point(A39_2133_9, reverse_line(L40_2133_9))
% 293.42/42.92
% 293.42/42.92 [25215] CLOSURE : ~left_apart_point(A39_2133_9, L40_2133_9)
% 293.42/42.92
% 293.42/42.92 [25131] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [25230] ~(left_apart_point(A39_2138_9, L40_2138_9) | left_apart_point(A39_2138_9, reverse_line(L40_2138_9)))
% 293.42/42.92
% 293.42/42.92 [25230] ALPHA_NOT_OR : ~(left_apart_point(A39_2138_9, L40_2138_9) | left_apart_point(A39_2138_9, reverse_line(L40_2138_9)))
% 293.42/42.92 -> [25232] ~left_apart_point(A39_2138_9, L40_2138_9), ~left_apart_point(A39_2138_9, reverse_line(L40_2138_9))
% 293.42/42.92
% 293.42/42.92 [25232] CLOSURE : ~left_apart_point(A39_2138_9, L40_2138_9)
% 293.42/42.92
% 293.42/42.92 [25120] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [25151] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92 -> [25152] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [25152] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [25151] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92
% 293.42/42.92 [20510] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_76_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_76_6)))
% 293.42/42.92 -> [20530] unequally_directed_lines(skolem_M7878, N34_76_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_76_6))
% 293.42/42.92
% 293.42/42.92 [20530] 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)))))
% 293.42/42.92 -> [21439] ((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))))
% 293.42/42.92
% 293.42/42.92 [21439] 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))))
% 293.42/42.92 -> [21440] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.92 -> [21441] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.92
% 293.42/42.92 [21440] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.92 -> [21555] ~line(reverse_line(skolem_N7979))
% 293.42/42.92 -> [21556] ~line(skolem_N7979)
% 293.42/42.92
% 293.42/42.92 [21555] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [21880] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.92
% 293.42/42.92 [21880] 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))))
% 293.42/42.92 -> [21883] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [21884] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92
% 293.42/42.92 [21884] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [21889] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.92 -> [21890] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [21890] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [22054] ~(left_apart_point(A39_1677_9, L40_1677_9) | left_apart_point(A39_1677_9, reverse_line(L40_1677_9)))
% 293.42/42.92
% 293.42/42.92 [22054] ALPHA_NOT_OR : ~(left_apart_point(A39_1677_9, L40_1677_9) | left_apart_point(A39_1677_9, reverse_line(L40_1677_9)))
% 293.42/42.92 -> [22055] ~left_apart_point(A39_1677_9, L40_1677_9), ~left_apart_point(A39_1677_9, reverse_line(L40_1677_9))
% 293.42/42.92
% 293.42/42.92 [22055] CLOSURE : ~left_apart_point(A39_1677_9, L40_1677_9)
% 293.42/42.92
% 293.42/42.92 [21889] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [22101] ~(left_apart_point(A39_1684_9, L40_1684_9) | left_apart_point(A39_1684_9, reverse_line(L40_1684_9)))
% 293.42/42.92
% 293.42/42.92 [22101] ALPHA_NOT_OR : ~(left_apart_point(A39_1684_9, L40_1684_9) | left_apart_point(A39_1684_9, reverse_line(L40_1684_9)))
% 293.42/42.92 -> [22102] ~left_apart_point(A39_1684_9, L40_1684_9), ~left_apart_point(A39_1684_9, reverse_line(L40_1684_9))
% 293.42/42.92
% 293.42/42.92 [22102] CLOSURE : ~left_apart_point(A39_1684_9, L40_1684_9)
% 293.42/42.92
% 293.42/42.92 [21883] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [21927] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.92 -> [21928] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [21928] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [21927] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [21556] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [21892] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.92
% 293.42/42.92 [21892] 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))))
% 293.42/42.92 -> [21893] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [21894] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92
% 293.42/42.92 [21894] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [21895] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.92 -> [21896] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [21896] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [22063] ~(left_apart_point(A39_1678_9, L40_1678_9) | left_apart_point(A39_1678_9, reverse_line(L40_1678_9)))
% 293.42/42.92
% 293.42/42.92 [22063] ALPHA_NOT_OR : ~(left_apart_point(A39_1678_9, L40_1678_9) | left_apart_point(A39_1678_9, reverse_line(L40_1678_9)))
% 293.42/42.92 -> [22064] ~left_apart_point(A39_1678_9, L40_1678_9), ~left_apart_point(A39_1678_9, reverse_line(L40_1678_9))
% 293.42/42.92
% 293.42/42.92 [22064] CLOSURE : ~left_apart_point(A39_1678_9, L40_1678_9)
% 293.42/42.92
% 293.42/42.92 [21895] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [22107] ~(left_apart_point(A39_1685_9, L40_1685_9) | left_apart_point(A39_1685_9, reverse_line(L40_1685_9)))
% 293.42/42.92
% 293.42/42.92 [22107] ALPHA_NOT_OR : ~(left_apart_point(A39_1685_9, L40_1685_9) | left_apart_point(A39_1685_9, reverse_line(L40_1685_9)))
% 293.42/42.92 -> [22109] ~left_apart_point(A39_1685_9, L40_1685_9), ~left_apart_point(A39_1685_9, reverse_line(L40_1685_9))
% 293.42/42.92
% 293.42/42.92 [22109] CLOSURE : ~left_apart_point(A39_1685_9, L40_1685_9)
% 293.42/42.92
% 293.42/42.92 [21893] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [21936] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.92 -> [21937] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [21937] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [21936] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [21441] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.92 -> [21442] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 293.42/42.92 -> [21443] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [21443] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [21442] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [26026] ((unequally_directed_lines(skolem_M7878, M38_1146_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1146_8))) => (left_convergent_lines(skolem_M7878, M38_1146_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1146_8))))
% 293.42/42.92
% 293.42/42.92 [26026] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_1146_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1146_8))) => (left_convergent_lines(skolem_M7878, M38_1146_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1146_8))))
% 293.42/42.92 -> [26029] ~(unequally_directed_lines(skolem_M7878, M38_1146_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1146_8)))
% 293.42/42.92 -> [26030] (left_convergent_lines(skolem_M7878, M38_1146_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1146_8)))
% 293.42/42.92
% 293.42/42.92 [26029] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_1146_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1146_8)))
% 293.42/42.92 -> [26047] ~unequally_directed_lines(skolem_M7878, M38_1146_8)
% 293.42/42.92 -> [26048] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_1146_8))
% 293.42/42.92
% 293.42/42.92 [26048] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_1146_8))
% 293.42/42.92
% 293.42/42.92 [26047] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_1146_8)
% 293.42/42.92
% 293.42/42.92 [26030] BETA_OR : (left_convergent_lines(skolem_M7878, M38_1146_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1146_8)))
% 293.42/42.92 -> [26038] left_convergent_lines(skolem_M7878, M38_1146_8)
% 293.42/42.92 -> [26039] left_convergent_lines(skolem_M7878, reverse_line(M38_1146_8))
% 293.42/42.92
% 293.42/42.92 [26039] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [26088] ~(left_apart_point(A39_2286_9, L40_2286_9) | left_apart_point(A39_2286_9, reverse_line(L40_2286_9)))
% 293.42/42.92
% 293.42/42.92 [26088] ALPHA_NOT_OR : ~(left_apart_point(A39_2286_9, L40_2286_9) | left_apart_point(A39_2286_9, reverse_line(L40_2286_9)))
% 293.42/42.92 -> [26093] ~left_apart_point(A39_2286_9, L40_2286_9), ~left_apart_point(A39_2286_9, reverse_line(L40_2286_9))
% 293.42/42.92
% 293.42/42.92 [26093] CLOSURE : ~left_apart_point(A39_2286_9, L40_2286_9)
% 293.42/42.92
% 293.42/42.92 [26038] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [26154] ~(left_apart_point(A39_2299_9, L40_2299_9) | left_apart_point(A39_2299_9, reverse_line(L40_2299_9)))
% 293.42/42.92
% 293.42/42.92 [26154] ALPHA_NOT_OR : ~(left_apart_point(A39_2299_9, L40_2299_9) | left_apart_point(A39_2299_9, reverse_line(L40_2299_9)))
% 293.42/42.92 -> [26157] ~left_apart_point(A39_2299_9, L40_2299_9), ~left_apart_point(A39_2299_9, reverse_line(L40_2299_9))
% 293.42/42.92
% 293.42/42.92 [26157] CLOSURE : ~left_apart_point(A39_2299_9, L40_2299_9)
% 293.42/42.92
% 293.42/42.92 [402] 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)))
% 293.42/42.92 -> [404] (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)))
% 293.42/42.92
% 293.42/42.92 [404] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.92 -> [405] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))
% 293.42/42.92 -> [406] ~~(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)))
% 293.42/42.92
% 293.42/42.92 [406] 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)))
% 293.42/42.92 -> [409] (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)))
% 293.42/42.92
% 293.42/42.92 [409] 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)))
% 293.42/42.92 -> [484] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 293.42/42.92 -> [485] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [484] 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)))
% 293.42/42.92 -> [1223] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 293.42/42.92 -> [1224] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [1224] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.92 -> [2832] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.92
% 293.42/42.92 [2832] 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))))
% 293.42/42.92 -> [2903] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.92
% 293.42/42.92 [2903] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.92 -> [2904] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.92 -> [2905] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.92
% 293.42/42.92 [2904] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.92
% 293.42/42.92 [2905] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.92 -> [4105] distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.92 -> [4106] distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.92
% 293.42/42.92 [4106] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.92
% 293.42/42.92 [4105] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.92 -> [4863] ~distinct_lines(N27_128_3, N27_128_3)
% 293.42/42.92
% 293.42/42.92 [4863] 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))))
% 293.42/42.92 -> [4880] (distinct_lines(N27_128_3, N27_128_3) => (distinct_lines(N27_128_3, N27_128_3) | distinct_lines(N27_128_3, N27_128_3)))
% 293.42/42.92
% 293.42/42.92 [4880] BETA_IMPLY : (distinct_lines(N27_128_3, N27_128_3) => (distinct_lines(N27_128_3, N27_128_3) | distinct_lines(N27_128_3, N27_128_3)))
% 293.42/42.92 -> [4881] ~distinct_lines(N27_128_3, N27_128_3)
% 293.42/42.92 -> [4882] (distinct_lines(N27_128_3, N27_128_3) | distinct_lines(N27_128_3, N27_128_3))
% 293.42/42.92
% 293.42/42.92 [4882] BETA_OR : (distinct_lines(N27_128_3, N27_128_3) | distinct_lines(N27_128_3, N27_128_3))
% 293.42/42.92 -> [4885] distinct_lines(N27_128_3, N27_128_3)
% 293.42/42.92 -> [4886] distinct_lines(N27_128_3, N27_128_3)
% 293.42/42.92
% 293.42/42.92 [4886] CLOSURE : distinct_lines(N27_128_3, N27_128_3)
% 293.42/42.92
% 293.42/42.92 [4885] CLOSURE : distinct_lines(N27_128_3, N27_128_3)
% 293.42/42.92
% 293.42/42.92 [4881] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.92 -> [4907] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [4907] 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))))
% 293.42/42.92 -> [4925] (unequally_directed_lines(skolem_M7878, skolem_N7979) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_N7979, skolem_M7878)))
% 293.42/42.92
% 293.42/42.92 [4925] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, skolem_N7979) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_N7979, skolem_M7878)))
% 293.42/42.92 -> [4926] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92 -> [4927] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_N7979, skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [4926] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92
% 293.42/42.92 [4927] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_N7979, skolem_M7878))
% 293.42/42.92 -> [7909] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92 -> [7910] unequally_directed_lines(skolem_N7979, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [7909] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [7910] 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))))))
% 293.42/42.92 -> [9334] ((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)))))
% 293.42/42.92
% 293.42/42.92 [9334] 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)))))
% 293.42/42.92 -> [9337] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [9338] ((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))))
% 293.42/42.92
% 293.42/42.92 [9337] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [9347] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92 -> [9348] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [9348] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [9347] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92
% 293.42/42.92 [9338] 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))))
% 293.42/42.92 -> [9510] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [9511] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.92
% 293.42/42.92 [9510] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [9522] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [9522] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [9511] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [9514] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [9514] 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)))))
% 293.42/42.92 -> [9573] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.92
% 293.42/42.92 [9573] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.92 -> [9575] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.92 -> [9576] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.92
% 293.42/42.92 [9575] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.92 -> [9589] ~line(skolem_M7878)
% 293.42/42.92 -> [9590] ~line(skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [9589] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [9667] ((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))))
% 293.42/42.92
% 293.42/42.92 [9667] 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))))
% 293.42/42.92 -> [9668] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [9669] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92
% 293.42/42.92 [9668] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [9728] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92 -> [9729] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [9728] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92
% 293.42/42.92 [9729] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [9669] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [9676] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92 -> [9677] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [9677] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [9790] ~(left_apart_point(A39_251_9, L40_251_9) | left_apart_point(A39_251_9, reverse_line(L40_251_9)))
% 293.42/42.92
% 293.42/42.92 [9790] ALPHA_NOT_OR : ~(left_apart_point(A39_251_9, L40_251_9) | left_apart_point(A39_251_9, reverse_line(L40_251_9)))
% 293.42/42.92 -> [9794] ~left_apart_point(A39_251_9, L40_251_9), ~left_apart_point(A39_251_9, reverse_line(L40_251_9))
% 293.42/42.92
% 293.42/42.92 [9794] CLOSURE : ~left_apart_point(A39_251_9, L40_251_9)
% 293.42/42.92
% 293.42/42.92 [9676] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [10920] ~(left_apart_point(A39_382_9, L40_382_9) | left_apart_point(A39_382_9, reverse_line(L40_382_9)))
% 293.42/42.92
% 293.42/42.92 [10920] ALPHA_NOT_OR : ~(left_apart_point(A39_382_9, L40_382_9) | left_apart_point(A39_382_9, reverse_line(L40_382_9)))
% 293.42/42.92 -> [10921] ~left_apart_point(A39_382_9, L40_382_9), ~left_apart_point(A39_382_9, reverse_line(L40_382_9))
% 293.42/42.92
% 293.42/42.92 [10921] CLOSURE : ~left_apart_point(A39_382_9, L40_382_9)
% 293.42/42.92
% 293.42/42.92 [9590] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [9624] ((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))))
% 293.42/42.92
% 293.42/42.92 [9624] 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))))
% 293.42/42.92 -> [9625] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [9626] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92
% 293.42/42.92 [9625] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [9686] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92 -> [9687] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [9687] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [9686] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92
% 293.42/42.92 [9626] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [9634] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92 -> [9635] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [9635] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [9774] ~(left_apart_point(A39_250_9, L40_250_9) | left_apart_point(A39_250_9, reverse_line(L40_250_9)))
% 293.42/42.92
% 293.42/42.92 [9774] ALPHA_NOT_OR : ~(left_apart_point(A39_250_9, L40_250_9) | left_apart_point(A39_250_9, reverse_line(L40_250_9)))
% 293.42/42.92 -> [9775] ~left_apart_point(A39_250_9, L40_250_9), ~left_apart_point(A39_250_9, reverse_line(L40_250_9))
% 293.42/42.92
% 293.42/42.92 [9775] CLOSURE : ~left_apart_point(A39_250_9, L40_250_9)
% 293.42/42.92
% 293.42/42.92 [9634] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [9800] ~(left_apart_point(A39_252_9, L40_252_9) | left_apart_point(A39_252_9, reverse_line(L40_252_9)))
% 293.42/42.92
% 293.42/42.92 [9800] ALPHA_NOT_OR : ~(left_apart_point(A39_252_9, L40_252_9) | left_apart_point(A39_252_9, reverse_line(L40_252_9)))
% 293.42/42.92 -> [9802] ~left_apart_point(A39_252_9, L40_252_9), ~left_apart_point(A39_252_9, reverse_line(L40_252_9))
% 293.42/42.92
% 293.42/42.92 [9802] CLOSURE : ~left_apart_point(A39_252_9, L40_252_9)
% 293.42/42.92
% 293.42/42.92 [9576] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [9580] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92 -> [9581] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [9580] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [9581] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [9692] ((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))))
% 293.42/42.92
% 293.42/42.92 [9692] 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))))
% 293.42/42.92 -> [9697] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [9698] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92
% 293.42/42.92 [9698] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [9700] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92 -> [9701] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [9701] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [9809] ~(left_apart_point(A39_254_9, L40_254_9) | left_apart_point(A39_254_9, reverse_line(L40_254_9)))
% 293.42/42.92
% 293.42/42.92 [9809] ALPHA_NOT_OR : ~(left_apart_point(A39_254_9, L40_254_9) | left_apart_point(A39_254_9, reverse_line(L40_254_9)))
% 293.42/42.92 -> [9810] ~left_apart_point(A39_254_9, L40_254_9), ~left_apart_point(A39_254_9, reverse_line(L40_254_9))
% 293.42/42.92
% 293.42/42.92 [9810] CLOSURE : ~left_apart_point(A39_254_9, L40_254_9)
% 293.42/42.92
% 293.42/42.92 [9700] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [9822] ~(left_apart_point(A39_257_9, L40_257_9) | left_apart_point(A39_257_9, reverse_line(L40_257_9)))
% 293.42/42.92
% 293.42/42.92 [9822] ALPHA_NOT_OR : ~(left_apart_point(A39_257_9, L40_257_9) | left_apart_point(A39_257_9, reverse_line(L40_257_9)))
% 293.42/42.92 -> [9825] ~left_apart_point(A39_257_9, L40_257_9), ~left_apart_point(A39_257_9, reverse_line(L40_257_9))
% 293.42/42.92
% 293.42/42.92 [9825] CLOSURE : ~left_apart_point(A39_257_9, L40_257_9)
% 293.42/42.92
% 293.42/42.92 [9697] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [9743] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92 -> [9744] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [9743] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92
% 293.42/42.92 [9744] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [1223] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.92 -> [1960] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.92
% 293.42/42.92 [1960] 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))))
% 293.42/42.92 -> [1989] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.92
% 293.42/42.92 [1989] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.92 -> [1991] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.92 -> [1992] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.92
% 293.42/42.92 [1991] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.92
% 293.42/42.92 [1992] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.92 -> [2338] distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.92 -> [2339] distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.92
% 293.42/42.92 [2339] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.92
% 293.42/42.92 [2338] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.92 -> [2357] ~distinct_lines(N27_20_3, N27_20_3)
% 293.42/42.92
% 293.42/42.92 [2357] 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))))
% 293.42/42.92 -> [2363] (distinct_lines(N27_20_3, N27_20_3) => (distinct_lines(N27_20_3, N27_20_3) | distinct_lines(N27_20_3, N27_20_3)))
% 293.42/42.92
% 293.42/42.92 [2363] 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)))
% 293.42/42.92 -> [2366] ~distinct_lines(N27_20_3, N27_20_3)
% 293.42/42.92 -> [2367] (distinct_lines(N27_20_3, N27_20_3) | distinct_lines(N27_20_3, N27_20_3))
% 293.42/42.92
% 293.42/42.92 [2367] BETA_OR : (distinct_lines(N27_20_3, N27_20_3) | distinct_lines(N27_20_3, N27_20_3))
% 293.42/42.92 -> [2369] distinct_lines(N27_20_3, N27_20_3)
% 293.42/42.92 -> [2370] distinct_lines(N27_20_3, N27_20_3)
% 293.42/42.92
% 293.42/42.92 [2370] CLOSURE : distinct_lines(N27_20_3, N27_20_3)
% 293.42/42.92
% 293.42/42.92 [2369] CLOSURE : distinct_lines(N27_20_3, N27_20_3)
% 293.42/42.92
% 293.42/42.92 [2366] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.92 -> [2381] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [2381] 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))))
% 293.42/42.92 -> [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))))
% 293.42/42.92
% 293.42/42.92 [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))))
% 293.42/42.92 -> [2393] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92 -> [2394] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.92
% 293.42/42.92 [2393] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [2394] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.92 -> [5420] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92 -> [5421] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [5421] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [5420] 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))))))
% 293.42/42.92 -> [6986] ((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)))))
% 293.42/42.92
% 293.42/42.92 [6986] 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)))))
% 293.42/42.92 -> [6987] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [6988] ((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))))
% 293.42/42.92
% 293.42/42.92 [6987] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [7027] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92 -> [7028] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [7028] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [7027] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92
% 293.42/42.92 [6988] 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))))
% 293.42/42.92 -> [10195] (unequally_directed_lines(skolem_M7878, N34_56_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_56_6)))
% 293.42/42.92 -> [10196] (unequally_directed_lines(skolem_N7979, N34_56_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_56_6)))
% 293.42/42.92
% 293.42/42.92 [10196] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_56_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_56_6)))
% 293.42/42.92 -> [10198] unequally_directed_lines(skolem_N7979, N34_56_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_56_6))
% 293.42/42.92
% 293.42/42.92 [10198] 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)))))
% 293.42/42.92 -> [10258] ((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)))))
% 293.42/42.92
% 293.42/42.92 [10258] 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)))))
% 293.42/42.92 -> [10259] ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.92 -> [10260] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))
% 293.42/42.92
% 293.42/42.92 [10259] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.92 -> [10272] ~line(skolem_L7777)
% 293.42/42.92 -> [10273] ~line(line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.92
% 293.42/42.92 [10273] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [10299] ((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))))
% 293.42/42.92
% 293.42/42.92 [10299] 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))))
% 293.42/42.92 -> [10300] ~(unequally_directed_lines(skolem_N7979, M38_174_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_174_8)))
% 293.42/42.92 -> [10301] (left_convergent_lines(skolem_N7979, M38_174_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_174_8)))
% 293.42/42.92
% 293.42/42.92 [10300] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_174_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_174_8)))
% 293.42/42.92 -> [10350] ~unequally_directed_lines(skolem_N7979, M38_174_8)
% 293.42/42.92 -> [10351] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_174_8))
% 293.42/42.92
% 293.42/42.92 [10350] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_174_8)
% 293.42/42.92
% 293.42/42.92 [10351] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_174_8))
% 293.42/42.92
% 293.42/42.92 [10301] BETA_OR : (left_convergent_lines(skolem_N7979, M38_174_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_174_8)))
% 293.42/42.92 -> [10304] left_convergent_lines(skolem_N7979, M38_174_8)
% 293.42/42.92 -> [10305] left_convergent_lines(skolem_N7979, reverse_line(M38_174_8))
% 293.42/42.92
% 293.42/42.92 [10305] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [10448] ~(left_apart_point(A39_330_9, L40_330_9) | left_apart_point(A39_330_9, reverse_line(L40_330_9)))
% 293.42/42.92
% 293.42/42.92 [10448] ALPHA_NOT_OR : ~(left_apart_point(A39_330_9, L40_330_9) | left_apart_point(A39_330_9, reverse_line(L40_330_9)))
% 293.42/42.92 -> [10451] ~left_apart_point(A39_330_9, L40_330_9), ~left_apart_point(A39_330_9, reverse_line(L40_330_9))
% 293.42/42.92
% 293.42/42.92 [10451] CLOSURE : ~left_apart_point(A39_330_9, L40_330_9)
% 293.42/42.92
% 293.42/42.92 [10304] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [10468] ~(left_apart_point(A39_337_9, L40_337_9) | left_apart_point(A39_337_9, reverse_line(L40_337_9)))
% 293.42/42.92
% 293.42/42.92 [10468] ALPHA_NOT_OR : ~(left_apart_point(A39_337_9, L40_337_9) | left_apart_point(A39_337_9, reverse_line(L40_337_9)))
% 293.42/42.92 -> [10469] ~left_apart_point(A39_337_9, L40_337_9), ~left_apart_point(A39_337_9, reverse_line(L40_337_9))
% 293.42/42.92
% 293.42/42.92 [10469] CLOSURE : ~left_apart_point(A39_337_9, L40_337_9)
% 293.42/42.92
% 293.42/42.92 [10272] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [10332] ((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))))
% 293.42/42.92
% 293.42/42.92 [10332] 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))))
% 293.42/42.92 -> [10335] ~(unequally_directed_lines(skolem_N7979, M38_176_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_176_8)))
% 293.42/42.92 -> [10336] (left_convergent_lines(skolem_N7979, M38_176_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_176_8)))
% 293.42/42.92
% 293.42/42.92 [10335] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_176_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_176_8)))
% 293.42/42.92 -> [10385] ~unequally_directed_lines(skolem_N7979, M38_176_8)
% 293.42/42.92 -> [10386] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_176_8))
% 293.42/42.92
% 293.42/42.92 [10386] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_176_8))
% 293.42/42.92
% 293.42/42.92 [10385] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_176_8)
% 293.42/42.92
% 293.42/42.92 [10336] BETA_OR : (left_convergent_lines(skolem_N7979, M38_176_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_176_8)))
% 293.42/42.92 -> [10338] left_convergent_lines(skolem_N7979, M38_176_8)
% 293.42/42.92 -> [10339] left_convergent_lines(skolem_N7979, reverse_line(M38_176_8))
% 293.42/42.92
% 293.42/42.92 [10338] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [10489] ~(left_apart_point(A39_344_9, L40_344_9) | left_apart_point(A39_344_9, reverse_line(L40_344_9)))
% 293.42/42.92
% 293.42/42.92 [10489] ALPHA_NOT_OR : ~(left_apart_point(A39_344_9, L40_344_9) | left_apart_point(A39_344_9, reverse_line(L40_344_9)))
% 293.42/42.92 -> [10494] ~left_apart_point(A39_344_9, L40_344_9), ~left_apart_point(A39_344_9, reverse_line(L40_344_9))
% 293.42/42.92
% 293.42/42.92 [10494] CLOSURE : ~left_apart_point(A39_344_9, L40_344_9)
% 293.42/42.92
% 293.42/42.92 [10339] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [10498] ~(left_apart_point(A39_345_9, L40_345_9) | left_apart_point(A39_345_9, reverse_line(L40_345_9)))
% 293.42/42.92
% 293.42/42.92 [10498] ALPHA_NOT_OR : ~(left_apart_point(A39_345_9, L40_345_9) | left_apart_point(A39_345_9, reverse_line(L40_345_9)))
% 293.42/42.92 -> [10501] ~left_apart_point(A39_345_9, L40_345_9), ~left_apart_point(A39_345_9, reverse_line(L40_345_9))
% 293.42/42.92
% 293.42/42.92 [10501] CLOSURE : ~left_apart_point(A39_345_9, L40_345_9)
% 293.42/42.92
% 293.42/42.92 [10260] 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))))
% 293.42/42.92 -> [10263] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.92 -> [10264] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.92
% 293.42/42.92 [10263] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.92
% 293.42/42.92 [10264] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [11285] ((unequally_directed_lines(skolem_N7979, M38_221_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_221_8))) => (left_convergent_lines(skolem_N7979, M38_221_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_221_8))))
% 293.42/42.92
% 293.42/42.92 [11285] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_221_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_221_8))) => (left_convergent_lines(skolem_N7979, M38_221_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_221_8))))
% 293.42/42.92 -> [11288] ~(unequally_directed_lines(skolem_N7979, M38_221_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_221_8)))
% 293.42/42.92 -> [11289] (left_convergent_lines(skolem_N7979, M38_221_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_221_8)))
% 293.42/42.92
% 293.42/42.92 [11289] BETA_OR : (left_convergent_lines(skolem_N7979, M38_221_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_221_8)))
% 293.42/42.92 -> [11298] left_convergent_lines(skolem_N7979, M38_221_8)
% 293.42/42.92 -> [11299] left_convergent_lines(skolem_N7979, reverse_line(M38_221_8))
% 293.42/42.92
% 293.42/42.92 [11298] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [11925] ~(left_apart_point(A39_479_9, L40_479_9) | left_apart_point(A39_479_9, reverse_line(L40_479_9)))
% 293.42/42.92
% 293.42/42.92 [11925] ALPHA_NOT_OR : ~(left_apart_point(A39_479_9, L40_479_9) | left_apart_point(A39_479_9, reverse_line(L40_479_9)))
% 293.42/42.92 -> [11927] ~left_apart_point(A39_479_9, L40_479_9), ~left_apart_point(A39_479_9, reverse_line(L40_479_9))
% 293.42/42.92
% 293.42/42.92 [11927] CLOSURE : ~left_apart_point(A39_479_9, L40_479_9)
% 293.42/42.92
% 293.42/42.92 [11299] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [11893] ~(left_apart_point(A39_472_9, L40_472_9) | left_apart_point(A39_472_9, reverse_line(L40_472_9)))
% 293.42/42.92
% 293.42/42.92 [11893] ALPHA_NOT_OR : ~(left_apart_point(A39_472_9, L40_472_9) | left_apart_point(A39_472_9, reverse_line(L40_472_9)))
% 293.42/42.92 -> [11894] ~left_apart_point(A39_472_9, L40_472_9), ~left_apart_point(A39_472_9, reverse_line(L40_472_9))
% 293.42/42.92
% 293.42/42.92 [11894] CLOSURE : ~left_apart_point(A39_472_9, L40_472_9)
% 293.42/42.92
% 293.42/42.92 [11288] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_221_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_221_8)))
% 293.42/42.92 -> [11905] ~unequally_directed_lines(skolem_N7979, M38_221_8)
% 293.42/42.92 -> [11906] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_221_8))
% 293.42/42.92
% 293.42/42.92 [11906] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_221_8))
% 293.42/42.92
% 293.42/42.92 [11905] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_221_8)
% 293.42/42.92
% 293.42/42.92 [10195] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_56_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_56_6)))
% 293.42/42.92 -> [10203] unequally_directed_lines(skolem_M7878, N34_56_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_56_6))
% 293.42/42.92
% 293.42/42.92 [10203] 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)))))
% 293.42/42.92 -> [10265] ((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)))))
% 293.42/42.92
% 293.42/42.92 [10265] 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)))))
% 293.42/42.92 -> [10266] ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.92 -> [10267] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 293.42/42.92
% 293.42/42.92 [10266] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.92 -> [10280] ~line(reverse_line(skolem_N7979))
% 293.42/42.92 -> [10281] ~line(reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [10281] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [10317] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.92
% 293.42/42.92 [10317] 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))))
% 293.42/42.92 -> [10318] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [10319] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92
% 293.42/42.92 [10318] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [10370] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.92 -> [10371] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [10371] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [10370] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [10319] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [10324] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.92 -> [10325] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [10325] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [10460] ~(left_apart_point(A39_334_9, L40_334_9) | left_apart_point(A39_334_9, reverse_line(L40_334_9)))
% 293.42/42.92
% 293.42/42.92 [10460] ALPHA_NOT_OR : ~(left_apart_point(A39_334_9, L40_334_9) | left_apart_point(A39_334_9, reverse_line(L40_334_9)))
% 293.42/42.92 -> [10462] ~left_apart_point(A39_334_9, L40_334_9), ~left_apart_point(A39_334_9, reverse_line(L40_334_9))
% 293.42/42.92
% 293.42/42.92 [10462] CLOSURE : ~left_apart_point(A39_334_9, L40_334_9)
% 293.42/42.92
% 293.42/42.92 [10324] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [10482] ~(left_apart_point(A39_342_9, L40_342_9) | left_apart_point(A39_342_9, reverse_line(L40_342_9)))
% 293.42/42.92
% 293.42/42.92 [10482] ALPHA_NOT_OR : ~(left_apart_point(A39_342_9, L40_342_9) | left_apart_point(A39_342_9, reverse_line(L40_342_9)))
% 293.42/42.92 -> [10484] ~left_apart_point(A39_342_9, L40_342_9), ~left_apart_point(A39_342_9, reverse_line(L40_342_9))
% 293.42/42.92
% 293.42/42.92 [10484] CLOSURE : ~left_apart_point(A39_342_9, L40_342_9)
% 293.42/42.92
% 293.42/42.92 [10280] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [10355] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.92
% 293.42/42.92 [10355] 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))))
% 293.42/42.92 -> [10358] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [10359] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92
% 293.42/42.92 [10358] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [10407] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.92 -> [10408] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [10408] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [10407] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [10359] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [10365] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.92 -> [10366] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [10366] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [10474] ~(left_apart_point(A39_340_9, L40_340_9) | left_apart_point(A39_340_9, reverse_line(L40_340_9)))
% 293.42/42.92
% 293.42/42.92 [10474] ALPHA_NOT_OR : ~(left_apart_point(A39_340_9, L40_340_9) | left_apart_point(A39_340_9, reverse_line(L40_340_9)))
% 293.42/42.92 -> [10476] ~left_apart_point(A39_340_9, L40_340_9), ~left_apart_point(A39_340_9, reverse_line(L40_340_9))
% 293.42/42.92
% 293.42/42.92 [10476] CLOSURE : ~left_apart_point(A39_340_9, L40_340_9)
% 293.42/42.92
% 293.42/42.92 [10365] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [10519] ~(left_apart_point(A39_349_9, L40_349_9) | left_apart_point(A39_349_9, reverse_line(L40_349_9)))
% 293.42/42.92
% 293.42/42.92 [10519] ALPHA_NOT_OR : ~(left_apart_point(A39_349_9, L40_349_9) | left_apart_point(A39_349_9, reverse_line(L40_349_9)))
% 293.42/42.92 -> [10522] ~left_apart_point(A39_349_9, L40_349_9), ~left_apart_point(A39_349_9, reverse_line(L40_349_9))
% 293.42/42.92
% 293.42/42.92 [10522] CLOSURE : ~left_apart_point(A39_349_9, L40_349_9)
% 293.42/42.92
% 293.42/42.92 [10267] 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))))
% 293.42/42.92 -> [10268] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.92 -> [10269] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 293.42/42.92
% 293.42/42.92 [10268] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [10269] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [11155] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.92
% 293.42/42.92 [11155] 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))))
% 293.42/42.92 -> [11157] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [11158] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92
% 293.42/42.92 [11157] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [11223] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.92 -> [11224] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [11223] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [11224] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [11158] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [11163] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.92 -> [11164] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [11164] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [11920] ~(left_apart_point(A39_478_9, L40_478_9) | left_apart_point(A39_478_9, reverse_line(L40_478_9)))
% 293.42/42.92
% 293.42/42.92 [11920] ALPHA_NOT_OR : ~(left_apart_point(A39_478_9, L40_478_9) | left_apart_point(A39_478_9, reverse_line(L40_478_9)))
% 293.42/42.92 -> [11921] ~left_apart_point(A39_478_9, L40_478_9), ~left_apart_point(A39_478_9, reverse_line(L40_478_9))
% 293.42/42.92
% 293.42/42.92 [11921] CLOSURE : ~left_apart_point(A39_478_9, L40_478_9)
% 293.42/42.92
% 293.42/42.92 [11163] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [11963] ~(left_apart_point(A39_482_9, L40_482_9) | left_apart_point(A39_482_9, reverse_line(L40_482_9)))
% 293.42/42.92
% 293.42/42.92 [11963] ALPHA_NOT_OR : ~(left_apart_point(A39_482_9, L40_482_9) | left_apart_point(A39_482_9, reverse_line(L40_482_9)))
% 293.42/42.92 -> [11964] ~left_apart_point(A39_482_9, L40_482_9), ~left_apart_point(A39_482_9, reverse_line(L40_482_9))
% 293.42/42.92
% 293.42/42.92 [11964] CLOSURE : ~left_apart_point(A39_482_9, L40_482_9)
% 293.42/42.92
% 293.42/42.92 [485] 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)))
% 293.42/42.92 -> [545] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 293.42/42.92 -> [546] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [545] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.92 -> [2482] ~distinct_points(C23_268_1, C23_268_1)
% 293.42/42.92
% 293.42/42.92 [2482] 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))))
% 293.42/42.92 -> [4049] (distinct_points(C23_268_1, C23_268_1) => (distinct_points(C23_268_1, C23_268_1) | distinct_points(C23_268_1, C23_268_1)))
% 293.42/42.92
% 293.42/42.92 [4049] BETA_IMPLY : (distinct_points(C23_268_1, C23_268_1) => (distinct_points(C23_268_1, C23_268_1) | distinct_points(C23_268_1, C23_268_1)))
% 293.42/42.92 -> [4052] ~distinct_points(C23_268_1, C23_268_1)
% 293.42/42.92 -> [4053] (distinct_points(C23_268_1, C23_268_1) | distinct_points(C23_268_1, C23_268_1))
% 293.42/42.92
% 293.42/42.92 [4053] BETA_OR : (distinct_points(C23_268_1, C23_268_1) | distinct_points(C23_268_1, C23_268_1))
% 293.42/42.92 -> [4057] distinct_points(C23_268_1, C23_268_1)
% 293.42/42.92 -> [4058] distinct_points(C23_268_1, C23_268_1)
% 293.42/42.92
% 293.42/42.92 [4058] CLOSURE : distinct_points(C23_268_1, C23_268_1)
% 293.42/42.92
% 293.42/42.92 [4057] CLOSURE : distinct_points(C23_268_1, C23_268_1)
% 293.42/42.92
% 293.42/42.92 [4052] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.92 -> [6580] ~distinct_lines(N27_222_3, N27_222_3)
% 293.42/42.92
% 293.42/42.92 [6580] 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))))
% 293.42/42.92 -> [6860] (distinct_lines(N27_222_3, N27_222_3) => (distinct_lines(N27_222_3, N27_222_3) | distinct_lines(N27_222_3, N27_222_3)))
% 293.42/42.92
% 293.42/42.92 [6860] BETA_IMPLY : (distinct_lines(N27_222_3, N27_222_3) => (distinct_lines(N27_222_3, N27_222_3) | distinct_lines(N27_222_3, N27_222_3)))
% 293.42/42.92 -> [6861] ~distinct_lines(N27_222_3, N27_222_3)
% 293.42/42.92 -> [6862] (distinct_lines(N27_222_3, N27_222_3) | distinct_lines(N27_222_3, N27_222_3))
% 293.42/42.92
% 293.42/42.92 [6862] BETA_OR : (distinct_lines(N27_222_3, N27_222_3) | distinct_lines(N27_222_3, N27_222_3))
% 293.42/42.92 -> [6863] distinct_lines(N27_222_3, N27_222_3)
% 293.42/42.92 -> [6864] distinct_lines(N27_222_3, N27_222_3)
% 293.42/42.92
% 293.42/42.92 [6864] CLOSURE : distinct_lines(N27_222_3, N27_222_3)
% 293.42/42.92
% 293.42/42.92 [6863] CLOSURE : distinct_lines(N27_222_3, N27_222_3)
% 293.42/42.92
% 293.42/42.92 [6861] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.92 -> [7515] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [7515] 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))))
% 293.42/42.92 -> [7706] (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)))
% 293.42/42.92
% 293.42/42.92 [7706] 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)))
% 293.42/42.92 -> [7707] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92 -> [7708] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [7707] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [7708] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.92 -> [9437] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92 -> [9438] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [9437] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [9438] 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))))))
% 293.42/42.92 -> [9535] ((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)))))
% 293.42/42.92
% 293.42/42.92 [9535] 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)))))
% 293.42/42.92 -> [9539] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [9540] ((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))))
% 293.42/42.92
% 293.42/42.92 [9539] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [9566] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92 -> [9567] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [9567] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [9566] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92
% 293.42/42.92 [9540] 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))))
% 293.42/42.92 -> [10391] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [10392] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.92
% 293.42/42.92 [10391] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [10402] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [10402] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [10392] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [10395] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [10395] 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)))))
% 293.42/42.92 -> [10432] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.92
% 293.42/42.92 [10432] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.92 -> [10433] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.92 -> [10434] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.92
% 293.42/42.92 [10434] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [10439] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92 -> [10440] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [10439] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [10440] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [10509] ((unequally_directed_lines(skolem_N7979, M38_188_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_188_8))) => (left_convergent_lines(skolem_N7979, M38_188_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_188_8))))
% 293.42/42.92
% 293.42/42.92 [10509] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_188_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_188_8))) => (left_convergent_lines(skolem_N7979, M38_188_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_188_8))))
% 293.42/42.92 -> [10510] ~(unequally_directed_lines(skolem_N7979, M38_188_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_188_8)))
% 293.42/42.92 -> [10511] (left_convergent_lines(skolem_N7979, M38_188_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_188_8)))
% 293.42/42.92
% 293.42/42.92 [10510] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_188_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_188_8)))
% 293.42/42.92 -> [10561] ~unequally_directed_lines(skolem_N7979, M38_188_8)
% 293.42/42.92 -> [10562] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_188_8))
% 293.42/42.92
% 293.42/42.92 [10562] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_188_8))
% 293.42/42.92
% 293.42/42.92 [10561] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_188_8)
% 293.42/42.92
% 293.42/42.92 [10511] BETA_OR : (left_convergent_lines(skolem_N7979, M38_188_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_188_8)))
% 293.42/42.92 -> [10515] left_convergent_lines(skolem_N7979, M38_188_8)
% 293.42/42.92 -> [10516] left_convergent_lines(skolem_N7979, reverse_line(M38_188_8))
% 293.42/42.92
% 293.42/42.92 [10516] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [10602] ~(left_apart_point(A39_361_9, L40_361_9) | left_apart_point(A39_361_9, reverse_line(L40_361_9)))
% 293.42/42.92
% 293.42/42.92 [10602] ALPHA_NOT_OR : ~(left_apart_point(A39_361_9, L40_361_9) | left_apart_point(A39_361_9, reverse_line(L40_361_9)))
% 293.42/42.92 -> [10603] ~left_apart_point(A39_361_9, L40_361_9), ~left_apart_point(A39_361_9, reverse_line(L40_361_9))
% 293.42/42.92
% 293.42/42.92 [10603] CLOSURE : ~left_apart_point(A39_361_9, L40_361_9)
% 293.42/42.92
% 293.42/42.92 [10515] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [10632] ~(left_apart_point(A39_364_9, L40_364_9) | left_apart_point(A39_364_9, reverse_line(L40_364_9)))
% 293.42/42.92
% 293.42/42.92 [10632] ALPHA_NOT_OR : ~(left_apart_point(A39_364_9, L40_364_9) | left_apart_point(A39_364_9, reverse_line(L40_364_9)))
% 293.42/42.92 -> [10633] ~left_apart_point(A39_364_9, L40_364_9), ~left_apart_point(A39_364_9, reverse_line(L40_364_9))
% 293.42/42.92
% 293.42/42.92 [10633] CLOSURE : ~left_apart_point(A39_364_9, L40_364_9)
% 293.42/42.92
% 293.42/42.92 [10433] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.92 -> [10446] ~line(skolem_M7878)
% 293.42/42.92 -> [10447] ~line(skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [10446] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [10541] ((unequally_directed_lines(skolem_N7979, M38_189_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_189_8))) => (left_convergent_lines(skolem_N7979, M38_189_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_189_8))))
% 293.42/42.92
% 293.42/42.92 [10541] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_189_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_189_8))) => (left_convergent_lines(skolem_N7979, M38_189_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_189_8))))
% 293.42/42.92 -> [10543] ~(unequally_directed_lines(skolem_N7979, M38_189_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_189_8)))
% 293.42/42.92 -> [10544] (left_convergent_lines(skolem_N7979, M38_189_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_189_8)))
% 293.42/42.92
% 293.42/42.92 [10543] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_189_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_189_8)))
% 293.42/42.92 -> [10575] ~unequally_directed_lines(skolem_N7979, M38_189_8)
% 293.42/42.92 -> [10576] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_189_8))
% 293.42/42.92
% 293.42/42.92 [10576] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_189_8))
% 293.42/42.92
% 293.42/42.92 [10575] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_189_8)
% 293.42/42.92
% 293.42/42.92 [10544] BETA_OR : (left_convergent_lines(skolem_N7979, M38_189_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_189_8)))
% 293.42/42.92 -> [10548] left_convergent_lines(skolem_N7979, M38_189_8)
% 293.42/42.92 -> [10549] left_convergent_lines(skolem_N7979, reverse_line(M38_189_8))
% 293.42/42.92
% 293.42/42.92 [10549] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [10617] ~(left_apart_point(A39_362_9, L40_362_9) | left_apart_point(A39_362_9, reverse_line(L40_362_9)))
% 293.42/42.92
% 293.42/42.92 [10617] ALPHA_NOT_OR : ~(left_apart_point(A39_362_9, L40_362_9) | left_apart_point(A39_362_9, reverse_line(L40_362_9)))
% 293.42/42.92 -> [10618] ~left_apart_point(A39_362_9, L40_362_9), ~left_apart_point(A39_362_9, reverse_line(L40_362_9))
% 293.42/42.92
% 293.42/42.92 [10618] CLOSURE : ~left_apart_point(A39_362_9, L40_362_9)
% 293.42/42.92
% 293.42/42.92 [10548] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [11015] ~(left_apart_point(A39_391_9, L40_391_9) | left_apart_point(A39_391_9, reverse_line(L40_391_9)))
% 293.42/42.92
% 293.42/42.92 [11015] ALPHA_NOT_OR : ~(left_apart_point(A39_391_9, L40_391_9) | left_apart_point(A39_391_9, reverse_line(L40_391_9)))
% 293.42/42.92 -> [11018] ~left_apart_point(A39_391_9, L40_391_9), ~left_apart_point(A39_391_9, reverse_line(L40_391_9))
% 293.42/42.92
% 293.42/42.92 [11018] CLOSURE : ~left_apart_point(A39_391_9, L40_391_9)
% 293.42/42.92
% 293.42/42.92 [10447] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [10495] ((unequally_directed_lines(skolem_N7979, M38_187_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_187_8))) => (left_convergent_lines(skolem_N7979, M38_187_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_187_8))))
% 293.42/42.92
% 293.42/42.92 [10495] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_187_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_187_8))) => (left_convergent_lines(skolem_N7979, M38_187_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_187_8))))
% 293.42/42.92 -> [10499] ~(unequally_directed_lines(skolem_N7979, M38_187_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_187_8)))
% 293.42/42.92 -> [10500] (left_convergent_lines(skolem_N7979, M38_187_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_187_8)))
% 293.42/42.92
% 293.42/42.92 [10500] BETA_OR : (left_convergent_lines(skolem_N7979, M38_187_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_187_8)))
% 293.42/42.92 -> [10504] left_convergent_lines(skolem_N7979, M38_187_8)
% 293.42/42.92 -> [10505] left_convergent_lines(skolem_N7979, reverse_line(M38_187_8))
% 293.42/42.92
% 293.42/42.92 [10505] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [10592] ~(left_apart_point(A39_360_9, L40_360_9) | left_apart_point(A39_360_9, reverse_line(L40_360_9)))
% 293.42/42.92
% 293.42/42.92 [10592] ALPHA_NOT_OR : ~(left_apart_point(A39_360_9, L40_360_9) | left_apart_point(A39_360_9, reverse_line(L40_360_9)))
% 293.42/42.92 -> [10597] ~left_apart_point(A39_360_9, L40_360_9), ~left_apart_point(A39_360_9, reverse_line(L40_360_9))
% 293.42/42.92
% 293.42/42.92 [10597] CLOSURE : ~left_apart_point(A39_360_9, L40_360_9)
% 293.42/42.92
% 293.42/42.92 [10504] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [10622] ~(left_apart_point(A39_363_9, L40_363_9) | left_apart_point(A39_363_9, reverse_line(L40_363_9)))
% 293.42/42.92
% 293.42/42.92 [10622] ALPHA_NOT_OR : ~(left_apart_point(A39_363_9, L40_363_9) | left_apart_point(A39_363_9, reverse_line(L40_363_9)))
% 293.42/42.92 -> [10623] ~left_apart_point(A39_363_9, L40_363_9), ~left_apart_point(A39_363_9, reverse_line(L40_363_9))
% 293.42/42.92
% 293.42/42.92 [10623] CLOSURE : ~left_apart_point(A39_363_9, L40_363_9)
% 293.42/42.92
% 293.42/42.92 [10499] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_187_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_187_8)))
% 293.42/42.92 -> [10556] ~unequally_directed_lines(skolem_N7979, M38_187_8)
% 293.42/42.92 -> [10557] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_187_8))
% 293.42/42.92
% 293.42/42.92 [10557] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_187_8))
% 293.42/42.92
% 293.42/42.92 [10556] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_187_8)
% 293.42/42.92
% 293.42/42.92 [546] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.92 -> [1592] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.92
% 293.42/42.92 [1592] 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))))
% 293.42/42.92 -> [1689] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.92
% 293.42/42.92 [1689] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.92 -> [1694] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.92 -> [1695] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.92
% 293.42/42.92 [1694] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.92
% 293.42/42.92 [1695] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.92 -> [5706] distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.92 -> [5707] distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.92
% 293.42/42.92 [5707] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.92
% 293.42/42.92 [5706] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.92 -> [7315] ~distinct_lines(N27_247_3, N27_247_3)
% 293.42/42.92
% 293.42/42.92 [7315] 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))))
% 293.42/42.92 -> [7878] (distinct_lines(N27_247_3, N27_247_3) => (distinct_lines(N27_247_3, N27_247_3) | distinct_lines(N27_247_3, N27_247_3)))
% 293.42/42.92
% 293.42/42.92 [7878] BETA_IMPLY : (distinct_lines(N27_247_3, N27_247_3) => (distinct_lines(N27_247_3, N27_247_3) | distinct_lines(N27_247_3, N27_247_3)))
% 293.42/42.92 -> [7879] ~distinct_lines(N27_247_3, N27_247_3)
% 293.42/42.92 -> [7880] (distinct_lines(N27_247_3, N27_247_3) | distinct_lines(N27_247_3, N27_247_3))
% 293.42/42.92
% 293.42/42.92 [7880] BETA_OR : (distinct_lines(N27_247_3, N27_247_3) | distinct_lines(N27_247_3, N27_247_3))
% 293.42/42.92 -> [7883] distinct_lines(N27_247_3, N27_247_3)
% 293.42/42.92 -> [7884] distinct_lines(N27_247_3, N27_247_3)
% 293.42/42.92
% 293.42/42.92 [7884] CLOSURE : distinct_lines(N27_247_3, N27_247_3)
% 293.42/42.92
% 293.42/42.92 [7883] CLOSURE : distinct_lines(N27_247_3, N27_247_3)
% 293.42/42.92
% 293.42/42.92 [7879] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.92 -> [8116] ~unequally_directed_lines(skolem_N7979, skolem_N7979)
% 293.42/42.92
% 293.42/42.92 [8116] 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))))
% 293.42/42.92 -> [8168] (unequally_directed_lines(skolem_L7777, skolem_M7878) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181))))
% 293.42/42.92
% 293.42/42.92 [8168] BETA_IMPLY : (unequally_directed_lines(skolem_L7777, skolem_M7878) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181))))
% 293.42/42.92 -> [8169] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.92 -> [8170] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181)))
% 293.42/42.92
% 293.42/42.92 [8169] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [8170] BETA_OR : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181)))
% 293.42/42.92 -> [11728] unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 293.42/42.92 -> [11729] unequally_directed_lines(skolem_M7878, line_connecting(skolem_C8282, skolem_B8181))
% 293.42/42.92
% 293.42/42.92 [11728] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 293.42/42.92
% 293.42/42.92 [11729] 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))))))
% 293.42/42.92 -> [12124] ((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)))))
% 293.42/42.92
% 293.42/42.92 [12124] 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)))))
% 293.42/42.92 -> [12353] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [12354] ((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))))
% 293.42/42.92
% 293.42/42.92 [12353] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [12419] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92 -> [12420] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [12419] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92
% 293.42/42.92 [12420] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [12354] 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))))
% 293.42/42.92 -> [22334] (unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [22335] (unequally_directed_lines(skolem_N7979, skolem_N7979) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979)))
% 293.42/42.92
% 293.42/42.92 [22335] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_N7979) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [22339] unequally_directed_lines(skolem_N7979, skolem_N7979), unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [22339] CLOSURE : unequally_directed_lines(skolem_N7979, skolem_N7979)
% 293.42/42.92
% 293.42/42.92 [22366] 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)))))
% 293.42/42.92 -> [25002] ((line(skolem_N7979) & line(skolem_N7979)) => (unequally_directed_lines(skolem_N7979, skolem_N7979) | unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979))))
% 293.42/42.92
% 293.42/42.92 [25002] BETA_IMPLY : ((line(skolem_N7979) & line(skolem_N7979)) => (unequally_directed_lines(skolem_N7979, skolem_N7979) | unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979))))
% 293.42/42.92 -> [25003] ~(line(skolem_N7979) & line(skolem_N7979))
% 293.42/42.92 -> [25004] (unequally_directed_lines(skolem_N7979, skolem_N7979) | unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979)))
% 293.42/42.92
% 293.42/42.92 [25004] BETA_OR : (unequally_directed_lines(skolem_N7979, skolem_N7979) | unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [25005] unequally_directed_lines(skolem_N7979, skolem_N7979)
% 293.42/42.92 -> [25006] unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [25006] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [25772] ((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))))
% 293.42/42.92
% 293.42/42.92 [25772] 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))))
% 293.42/42.92 -> [25776] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [25777] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92
% 293.42/42.92 [25776] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [25783] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92 -> [25784] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [25784] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [25783] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92
% 293.42/42.92 [25777] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [25779] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92 -> [25780] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [25779] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [25806] ~(left_apart_point(A39_2232_9, L40_2232_9) | left_apart_point(A39_2232_9, reverse_line(L40_2232_9)))
% 293.42/42.92
% 293.42/42.92 [25806] ALPHA_NOT_OR : ~(left_apart_point(A39_2232_9, L40_2232_9) | left_apart_point(A39_2232_9, reverse_line(L40_2232_9)))
% 293.42/42.92 -> [25807] ~left_apart_point(A39_2232_9, L40_2232_9), ~left_apart_point(A39_2232_9, reverse_line(L40_2232_9))
% 293.42/42.92
% 293.42/42.92 [25807] CLOSURE : ~left_apart_point(A39_2232_9, L40_2232_9)
% 293.42/42.92
% 293.42/42.92 [25780] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [25810] ~(left_apart_point(A39_2233_9, L40_2233_9) | left_apart_point(A39_2233_9, reverse_line(L40_2233_9)))
% 293.42/42.92
% 293.42/42.92 [25810] ALPHA_NOT_OR : ~(left_apart_point(A39_2233_9, L40_2233_9) | left_apart_point(A39_2233_9, reverse_line(L40_2233_9)))
% 293.42/42.92 -> [25811] ~left_apart_point(A39_2233_9, L40_2233_9), ~left_apart_point(A39_2233_9, reverse_line(L40_2233_9))
% 293.42/42.92
% 293.42/42.92 [25811] CLOSURE : ~left_apart_point(A39_2233_9, L40_2233_9)
% 293.42/42.92
% 293.42/42.92 [25005] CLOSURE : unequally_directed_lines(skolem_N7979, skolem_N7979)
% 293.42/42.92
% 293.42/42.92 [25003] BETA_NOT_AND : ~(line(skolem_N7979) & line(skolem_N7979))
% 293.42/42.92 -> [25719] ~line(skolem_N7979)
% 293.42/42.92 -> [25720] ~line(skolem_N7979)
% 293.42/42.92
% 293.42/42.92 [25719] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [26046] ((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))))
% 293.42/42.92
% 293.42/42.92 [26046] 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))))
% 293.42/42.92 -> [26051] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [26052] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92
% 293.42/42.92 [26051] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [26073] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92 -> [26074] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [26074] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [26073] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92
% 293.42/42.92 [26052] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [26063] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92 -> [26064] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [26064] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [26094] ~(left_apart_point(A39_2287_9, L40_2287_9) | left_apart_point(A39_2287_9, reverse_line(L40_2287_9)))
% 293.42/42.92
% 293.42/42.92 [26094] ALPHA_NOT_OR : ~(left_apart_point(A39_2287_9, L40_2287_9) | left_apart_point(A39_2287_9, reverse_line(L40_2287_9)))
% 293.42/42.92 -> [26097] ~left_apart_point(A39_2287_9, L40_2287_9), ~left_apart_point(A39_2287_9, reverse_line(L40_2287_9))
% 293.42/42.92
% 293.42/42.92 [26097] CLOSURE : ~left_apart_point(A39_2287_9, L40_2287_9)
% 293.42/42.92
% 293.42/42.92 [26063] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [26127] ~(left_apart_point(A39_2290_9, L40_2290_9) | left_apart_point(A39_2290_9, reverse_line(L40_2290_9)))
% 293.42/42.92
% 293.42/42.92 [26127] ALPHA_NOT_OR : ~(left_apart_point(A39_2290_9, L40_2290_9) | left_apart_point(A39_2290_9, reverse_line(L40_2290_9)))
% 293.42/42.92 -> [26130] ~left_apart_point(A39_2290_9, L40_2290_9), ~left_apart_point(A39_2290_9, reverse_line(L40_2290_9))
% 293.42/42.92
% 293.42/42.92 [26130] CLOSURE : ~left_apart_point(A39_2290_9, L40_2290_9)
% 293.42/42.92
% 293.42/42.92 [25720] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [26190] ((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))))
% 293.42/42.92
% 293.42/42.92 [26190] 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))))
% 293.42/42.92 -> [26194] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [26195] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92
% 293.42/42.92 [26194] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [26207] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92 -> [26208] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [26208] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [26207] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92
% 293.42/42.92 [26195] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [26201] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92 -> [26202] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [26202] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [26234] ~(left_apart_point(A39_2309_9, L40_2309_9) | left_apart_point(A39_2309_9, reverse_line(L40_2309_9)))
% 293.42/42.92
% 293.42/42.92 [26234] ALPHA_NOT_OR : ~(left_apart_point(A39_2309_9, L40_2309_9) | left_apart_point(A39_2309_9, reverse_line(L40_2309_9)))
% 293.42/42.92 -> [26238] ~left_apart_point(A39_2309_9, L40_2309_9), ~left_apart_point(A39_2309_9, reverse_line(L40_2309_9))
% 293.42/42.92
% 293.42/42.92 [26238] CLOSURE : ~left_apart_point(A39_2309_9, L40_2309_9)
% 293.42/42.92
% 293.42/42.92 [26201] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [26241] ~(left_apart_point(A39_2310_9, L40_2310_9) | left_apart_point(A39_2310_9, reverse_line(L40_2310_9)))
% 293.42/42.92
% 293.42/42.92 [26241] ALPHA_NOT_OR : ~(left_apart_point(A39_2310_9, L40_2310_9) | left_apart_point(A39_2310_9, reverse_line(L40_2310_9)))
% 293.42/42.92 -> [26242] ~left_apart_point(A39_2310_9, L40_2310_9), ~left_apart_point(A39_2310_9, reverse_line(L40_2310_9))
% 293.42/42.92
% 293.42/42.92 [26242] CLOSURE : ~left_apart_point(A39_2310_9, L40_2310_9)
% 293.42/42.92
% 293.42/42.92 [405] 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)))
% 293.42/42.92 -> [840] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 293.42/42.92 -> [841] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [840] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.92 -> [3026] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.92
% 293.42/42.92 [3026] 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))))
% 293.42/42.92 -> [3109] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.92
% 293.42/42.92 [3109] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.92 -> [3110] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.92 -> [3111] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.92
% 293.42/42.92 [3110] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.92
% 293.42/42.92 [3111] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.92 -> [4706] distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.92 -> [4707] distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.92
% 293.42/42.92 [4707] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.92
% 293.42/42.92 [4706] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.92 -> [5422] ~distinct_lines(N27_162_3, N27_162_3)
% 293.42/42.92
% 293.42/42.92 [5422] 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))))
% 293.42/42.92 -> [5664] (distinct_lines(N27_162_3, N27_162_3) => (distinct_lines(N27_162_3, N27_162_3) | distinct_lines(N27_162_3, N27_162_3)))
% 293.42/42.92
% 293.42/42.92 [5664] BETA_IMPLY : (distinct_lines(N27_162_3, N27_162_3) => (distinct_lines(N27_162_3, N27_162_3) | distinct_lines(N27_162_3, N27_162_3)))
% 293.42/42.92 -> [5669] ~distinct_lines(N27_162_3, N27_162_3)
% 293.42/42.92 -> [5670] (distinct_lines(N27_162_3, N27_162_3) | distinct_lines(N27_162_3, N27_162_3))
% 293.42/42.92
% 293.42/42.92 [5670] BETA_OR : (distinct_lines(N27_162_3, N27_162_3) | distinct_lines(N27_162_3, N27_162_3))
% 293.42/42.92 -> [5671] distinct_lines(N27_162_3, N27_162_3)
% 293.42/42.92 -> [5672] distinct_lines(N27_162_3, N27_162_3)
% 293.42/42.92
% 293.42/42.92 [5671] CLOSURE : distinct_lines(N27_162_3, N27_162_3)
% 293.42/42.92
% 293.42/42.92 [5672] CLOSURE : distinct_lines(N27_162_3, N27_162_3)
% 293.42/42.92
% 293.42/42.92 [5669] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.92 -> [5961] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [5961] 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))))
% 293.42/42.92 -> [6304] (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)))
% 293.42/42.92
% 293.42/42.92 [6304] 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)))
% 293.42/42.92 -> [6307] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92 -> [6308] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [6307] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [6308] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.92 -> [9487] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92 -> [9488] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [9487] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [9488] 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))))))
% 293.42/42.92 -> [17957] ((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)))))
% 293.42/42.92
% 293.42/42.92 [17957] 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)))))
% 293.42/42.92 -> [17959] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [17960] ((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))))
% 293.42/42.92
% 293.42/42.92 [17959] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [18012] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92 -> [18013] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [18013] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [18012] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92
% 293.42/42.92 [17960] 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))))
% 293.42/42.92 -> [22855] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [22856] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.92
% 293.42/42.92 [22855] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [22894] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [22894] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [22856] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [22858] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [22858] 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)))))
% 293.42/42.92 -> [23129] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.92
% 293.42/42.92 [23129] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.92 -> [23130] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.92 -> [23131] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.92
% 293.42/42.92 [23130] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.92 -> [23209] ~line(skolem_M7878)
% 293.42/42.92 -> [23210] ~line(skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [23209] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [23375] ((unequally_directed_lines(skolem_N7979, M38_956_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_956_8))) => (left_convergent_lines(skolem_N7979, M38_956_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_956_8))))
% 293.42/42.92
% 293.42/42.92 [23375] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_956_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_956_8))) => (left_convergent_lines(skolem_N7979, M38_956_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_956_8))))
% 293.42/42.92 -> [23378] ~(unequally_directed_lines(skolem_N7979, M38_956_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_956_8)))
% 293.42/42.92 -> [23379] (left_convergent_lines(skolem_N7979, M38_956_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_956_8)))
% 293.42/42.92
% 293.42/42.92 [23379] BETA_OR : (left_convergent_lines(skolem_N7979, M38_956_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_956_8)))
% 293.42/42.92 -> [23380] left_convergent_lines(skolem_N7979, M38_956_8)
% 293.42/42.92 -> [23381] left_convergent_lines(skolem_N7979, reverse_line(M38_956_8))
% 293.42/42.92
% 293.42/42.92 [23381] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [23460] ~(left_apart_point(A39_1878_9, L40_1878_9) | left_apart_point(A39_1878_9, reverse_line(L40_1878_9)))
% 293.42/42.92
% 293.42/42.92 [23460] ALPHA_NOT_OR : ~(left_apart_point(A39_1878_9, L40_1878_9) | left_apart_point(A39_1878_9, reverse_line(L40_1878_9)))
% 293.42/42.92 -> [23463] ~left_apart_point(A39_1878_9, L40_1878_9), ~left_apart_point(A39_1878_9, reverse_line(L40_1878_9))
% 293.42/42.92
% 293.42/42.92 [23463] CLOSURE : ~left_apart_point(A39_1878_9, L40_1878_9)
% 293.42/42.92
% 293.42/42.92 [23380] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [23476] ~(left_apart_point(A39_1881_9, L40_1881_9) | left_apart_point(A39_1881_9, reverse_line(L40_1881_9)))
% 293.42/42.92
% 293.42/42.92 [23476] ALPHA_NOT_OR : ~(left_apart_point(A39_1881_9, L40_1881_9) | left_apart_point(A39_1881_9, reverse_line(L40_1881_9)))
% 293.42/42.92 -> [23479] ~left_apart_point(A39_1881_9, L40_1881_9), ~left_apart_point(A39_1881_9, reverse_line(L40_1881_9))
% 293.42/42.92
% 293.42/42.92 [23479] CLOSURE : ~left_apart_point(A39_1881_9, L40_1881_9)
% 293.42/42.92
% 293.42/42.92 [23378] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_956_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_956_8)))
% 293.42/42.92 -> [23402] ~unequally_directed_lines(skolem_N7979, M38_956_8)
% 293.42/42.92 -> [23403] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_956_8))
% 293.42/42.92
% 293.42/42.92 [23403] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_956_8))
% 293.42/42.92
% 293.42/42.92 [23402] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_956_8)
% 293.42/42.92
% 293.42/42.92 [23210] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [23582] ((unequally_directed_lines(skolem_N7979, M38_971_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_971_8))) => (left_convergent_lines(skolem_N7979, M38_971_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_971_8))))
% 293.42/42.92
% 293.42/42.92 [23582] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_971_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_971_8))) => (left_convergent_lines(skolem_N7979, M38_971_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_971_8))))
% 293.42/42.92 -> [23584] ~(unequally_directed_lines(skolem_N7979, M38_971_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_971_8)))
% 293.42/42.92 -> [23585] (left_convergent_lines(skolem_N7979, M38_971_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_971_8)))
% 293.42/42.92
% 293.42/42.92 [23585] BETA_OR : (left_convergent_lines(skolem_N7979, M38_971_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_971_8)))
% 293.42/42.92 -> [23589] left_convergent_lines(skolem_N7979, M38_971_8)
% 293.42/42.92 -> [23590] left_convergent_lines(skolem_N7979, reverse_line(M38_971_8))
% 293.42/42.92
% 293.42/42.92 [23589] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [23769] ~(left_apart_point(A39_1919_9, L40_1919_9) | left_apart_point(A39_1919_9, reverse_line(L40_1919_9)))
% 293.42/42.92
% 293.42/42.92 [23769] ALPHA_NOT_OR : ~(left_apart_point(A39_1919_9, L40_1919_9) | left_apart_point(A39_1919_9, reverse_line(L40_1919_9)))
% 293.42/42.92 -> [23773] ~left_apart_point(A39_1919_9, L40_1919_9), ~left_apart_point(A39_1919_9, reverse_line(L40_1919_9))
% 293.42/42.92
% 293.42/42.92 [23773] CLOSURE : ~left_apart_point(A39_1919_9, L40_1919_9)
% 293.42/42.92
% 293.42/42.92 [23590] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [23780] ~(left_apart_point(A39_1921_9, L40_1921_9) | left_apart_point(A39_1921_9, reverse_line(L40_1921_9)))
% 293.42/42.92
% 293.42/42.92 [23780] ALPHA_NOT_OR : ~(left_apart_point(A39_1921_9, L40_1921_9) | left_apart_point(A39_1921_9, reverse_line(L40_1921_9)))
% 293.42/42.92 -> [23786] ~left_apart_point(A39_1921_9, L40_1921_9), ~left_apart_point(A39_1921_9, reverse_line(L40_1921_9))
% 293.42/42.92
% 293.42/42.92 [23786] CLOSURE : ~left_apart_point(A39_1921_9, L40_1921_9)
% 293.42/42.92
% 293.42/42.92 [23584] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_971_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_971_8)))
% 293.42/42.92 -> [23617] ~unequally_directed_lines(skolem_N7979, M38_971_8)
% 293.42/42.92 -> [23618] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_971_8))
% 293.42/42.92
% 293.42/42.92 [23618] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_971_8))
% 293.42/42.92
% 293.42/42.92 [23617] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_971_8)
% 293.42/42.92
% 293.42/42.92 [23131] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [23136] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92 -> [23137] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [23136] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [23137] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [23397] ((unequally_directed_lines(skolem_N7979, M38_959_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_959_8))) => (left_convergent_lines(skolem_N7979, M38_959_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_959_8))))
% 293.42/42.92
% 293.42/42.92 [23397] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_959_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_959_8))) => (left_convergent_lines(skolem_N7979, M38_959_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_959_8))))
% 293.42/42.92 -> [23400] ~(unequally_directed_lines(skolem_N7979, M38_959_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_959_8)))
% 293.42/42.92 -> [23401] (left_convergent_lines(skolem_N7979, M38_959_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_959_8)))
% 293.42/42.92
% 293.42/42.92 [23401] BETA_OR : (left_convergent_lines(skolem_N7979, M38_959_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_959_8)))
% 293.42/42.92 -> [23408] left_convergent_lines(skolem_N7979, M38_959_8)
% 293.42/42.92 -> [23409] left_convergent_lines(skolem_N7979, reverse_line(M38_959_8))
% 293.42/42.92
% 293.42/42.92 [23409] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [23714] ~(left_apart_point(A39_1912_9, L40_1912_9) | left_apart_point(A39_1912_9, reverse_line(L40_1912_9)))
% 293.42/42.92
% 293.42/42.92 [23714] ALPHA_NOT_OR : ~(left_apart_point(A39_1912_9, L40_1912_9) | left_apart_point(A39_1912_9, reverse_line(L40_1912_9)))
% 293.42/42.92 -> [23716] ~left_apart_point(A39_1912_9, L40_1912_9), ~left_apart_point(A39_1912_9, reverse_line(L40_1912_9))
% 293.42/42.92
% 293.42/42.92 [23716] CLOSURE : ~left_apart_point(A39_1912_9, L40_1912_9)
% 293.42/42.92
% 293.42/42.92 [23408] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [23839] ~(left_apart_point(A39_1931_9, L40_1931_9) | left_apart_point(A39_1931_9, reverse_line(L40_1931_9)))
% 293.42/42.92
% 293.42/42.92 [23839] ALPHA_NOT_OR : ~(left_apart_point(A39_1931_9, L40_1931_9) | left_apart_point(A39_1931_9, reverse_line(L40_1931_9)))
% 293.42/42.92 -> [23841] ~left_apart_point(A39_1931_9, L40_1931_9), ~left_apart_point(A39_1931_9, reverse_line(L40_1931_9))
% 293.42/42.92
% 293.42/42.92 [23841] CLOSURE : ~left_apart_point(A39_1931_9, L40_1931_9)
% 293.42/42.92
% 293.42/42.92 [23400] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_959_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_959_8)))
% 293.42/42.92 -> [23434] ~unequally_directed_lines(skolem_N7979, M38_959_8)
% 293.42/42.92 -> [23435] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_959_8))
% 293.42/42.92
% 293.42/42.92 [23435] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_959_8))
% 293.42/42.92
% 293.42/42.92 [23434] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_959_8)
% 293.42/42.92
% 293.42/42.92 [841] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.92 -> [3750] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.92
% 293.42/42.92 [3750] 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))))
% 293.42/42.92 -> [4036] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.92
% 293.42/42.92 [4036] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.92 -> [4037] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.92 -> [4038] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.92
% 293.42/42.92 [4037] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.92
% 293.42/42.92 [4038] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.92 -> [6043] distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.92 -> [6044] distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.92
% 293.42/42.92 [6044] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.92
% 293.42/42.92 [6043] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.92 -> [6941] ~distinct_lines(N27_231_3, N27_231_3)
% 293.42/42.92
% 293.42/42.92 [6941] 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))))
% 293.42/42.92 -> [7159] (distinct_lines(N27_231_3, N27_231_3) => (distinct_lines(N27_231_3, N27_231_3) | distinct_lines(N27_231_3, N27_231_3)))
% 293.42/42.92
% 293.42/42.92 [7159] BETA_IMPLY : (distinct_lines(N27_231_3, N27_231_3) => (distinct_lines(N27_231_3, N27_231_3) | distinct_lines(N27_231_3, N27_231_3)))
% 293.42/42.92 -> [7160] ~distinct_lines(N27_231_3, N27_231_3)
% 293.42/42.92 -> [7161] (distinct_lines(N27_231_3, N27_231_3) | distinct_lines(N27_231_3, N27_231_3))
% 293.42/42.92
% 293.42/42.92 [7161] BETA_OR : (distinct_lines(N27_231_3, N27_231_3) | distinct_lines(N27_231_3, N27_231_3))
% 293.42/42.92 -> [7163] distinct_lines(N27_231_3, N27_231_3)
% 293.42/42.92 -> [7164] distinct_lines(N27_231_3, N27_231_3)
% 293.42/42.92
% 293.42/42.92 [7164] CLOSURE : distinct_lines(N27_231_3, N27_231_3)
% 293.42/42.92
% 293.42/42.92 [7163] CLOSURE : distinct_lines(N27_231_3, N27_231_3)
% 293.42/42.92
% 293.42/42.92 [7160] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.92 -> [7386] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [7386] 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))))
% 293.42/42.92 -> [7913] (unequally_directed_lines(skolem_L7777, skolem_M7878) => (unequally_directed_lines(skolem_L7777, skolem_M7878) | unequally_directed_lines(skolem_M7878, skolem_M7878)))
% 293.42/42.92
% 293.42/42.92 [7913] BETA_IMPLY : (unequally_directed_lines(skolem_L7777, skolem_M7878) => (unequally_directed_lines(skolem_L7777, skolem_M7878) | unequally_directed_lines(skolem_M7878, skolem_M7878)))
% 293.42/42.92 -> [7914] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.92 -> [7915] (unequally_directed_lines(skolem_L7777, skolem_M7878) | unequally_directed_lines(skolem_M7878, skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [7914] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [7915] BETA_OR : (unequally_directed_lines(skolem_L7777, skolem_M7878) | unequally_directed_lines(skolem_M7878, skolem_M7878))
% 293.42/42.92 -> [11896] unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.92 -> [11897] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [11897] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [11896] 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))))))
% 293.42/42.92 -> [20663] ((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)))))
% 293.42/42.92
% 293.42/42.92 [20663] 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)))))
% 293.42/42.92 -> [20670] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [20671] ((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))))
% 293.42/42.92
% 293.42/42.92 [20670] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [20769] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92 -> [20770] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [20770] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [20769] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92
% 293.42/42.92 [20671] 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))))
% 293.42/42.92 -> [25749] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [25750] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.92
% 293.42/42.92 [25749] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [25758] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [25758] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [25750] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [25751] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [25751] 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)))))
% 293.42/42.92 -> [25767] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.92
% 293.42/42.92 [25767] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.92 -> [25768] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.92 -> [25769] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.92
% 293.42/42.92 [25769] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [25774] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92 -> [25775] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [25774] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [25775] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [25814] ((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))))
% 293.42/42.92
% 293.42/42.92 [25814] 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))))
% 293.42/42.92 -> [25815] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [25816] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92
% 293.42/42.92 [25816] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [25819] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92 -> [25820] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [25820] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [25900] ~(left_apart_point(A39_2247_9, L40_2247_9) | left_apart_point(A39_2247_9, reverse_line(L40_2247_9)))
% 293.42/42.92
% 293.42/42.92 [25900] ALPHA_NOT_OR : ~(left_apart_point(A39_2247_9, L40_2247_9) | left_apart_point(A39_2247_9, reverse_line(L40_2247_9)))
% 293.42/42.92 -> [25902] ~left_apart_point(A39_2247_9, L40_2247_9), ~left_apart_point(A39_2247_9, reverse_line(L40_2247_9))
% 293.42/42.92
% 293.42/42.92 [25902] CLOSURE : ~left_apart_point(A39_2247_9, L40_2247_9)
% 293.42/42.92
% 293.42/42.92 [25819] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [25905] ~(left_apart_point(A39_2248_9, L40_2248_9) | left_apart_point(A39_2248_9, reverse_line(L40_2248_9)))
% 293.42/42.92
% 293.42/42.92 [25905] ALPHA_NOT_OR : ~(left_apart_point(A39_2248_9, L40_2248_9) | left_apart_point(A39_2248_9, reverse_line(L40_2248_9)))
% 293.42/42.92 -> [25906] ~left_apart_point(A39_2248_9, L40_2248_9), ~left_apart_point(A39_2248_9, reverse_line(L40_2248_9))
% 293.42/42.92
% 293.42/42.92 [25906] CLOSURE : ~left_apart_point(A39_2248_9, L40_2248_9)
% 293.42/42.92
% 293.42/42.92 [25815] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [25847] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92 -> [25848] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [25848] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [25847] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92
% 293.42/42.92 [25768] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.92 -> [25781] ~line(skolem_M7878)
% 293.42/42.92 -> [25782] ~line(skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [25781] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [25823] ((unequally_directed_lines(skolem_N7979, M38_1130_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1130_8))) => (left_convergent_lines(skolem_N7979, M38_1130_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1130_8))))
% 293.42/42.92
% 293.42/42.92 [25823] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1130_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1130_8))) => (left_convergent_lines(skolem_N7979, M38_1130_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1130_8))))
% 293.42/42.92 -> [25824] ~(unequally_directed_lines(skolem_N7979, M38_1130_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1130_8)))
% 293.42/42.92 -> [25825] (left_convergent_lines(skolem_N7979, M38_1130_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1130_8)))
% 293.42/42.92
% 293.42/42.92 [25825] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1130_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1130_8)))
% 293.42/42.92 -> [25826] left_convergent_lines(skolem_N7979, M38_1130_8)
% 293.42/42.92 -> [25827] left_convergent_lines(skolem_N7979, reverse_line(M38_1130_8))
% 293.42/42.92
% 293.42/42.92 [25826] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [26105] ~(left_apart_point(A39_2288_9, L40_2288_9) | left_apart_point(A39_2288_9, reverse_line(L40_2288_9)))
% 293.42/42.92
% 293.42/42.92 [26105] ALPHA_NOT_OR : ~(left_apart_point(A39_2288_9, L40_2288_9) | left_apart_point(A39_2288_9, reverse_line(L40_2288_9)))
% 293.42/42.92 -> [26106] ~left_apart_point(A39_2288_9, L40_2288_9), ~left_apart_point(A39_2288_9, reverse_line(L40_2288_9))
% 293.42/42.92
% 293.42/42.92 [26106] CLOSURE : ~left_apart_point(A39_2288_9, L40_2288_9)
% 293.42/42.92
% 293.42/42.92 [25827] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [25893] ~(left_apart_point(A39_2246_9, L40_2246_9) | left_apart_point(A39_2246_9, reverse_line(L40_2246_9)))
% 293.42/42.92
% 293.42/42.92 [25893] ALPHA_NOT_OR : ~(left_apart_point(A39_2246_9, L40_2246_9) | left_apart_point(A39_2246_9, reverse_line(L40_2246_9)))
% 293.42/42.92 -> [25897] ~left_apart_point(A39_2246_9, L40_2246_9), ~left_apart_point(A39_2246_9, reverse_line(L40_2246_9))
% 293.42/42.92
% 293.42/42.92 [25897] CLOSURE : ~left_apart_point(A39_2246_9, L40_2246_9)
% 293.42/42.92
% 293.42/42.92 [25824] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1130_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1130_8)))
% 293.42/42.92 -> [25857] ~unequally_directed_lines(skolem_N7979, M38_1130_8)
% 293.42/42.92 -> [25858] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1130_8))
% 293.42/42.92
% 293.42/42.92 [25858] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1130_8))
% 293.42/42.92
% 293.42/42.92 [25857] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1130_8)
% 293.42/42.92
% 293.42/42.92 [25782] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [25829] ((unequally_directed_lines(skolem_N7979, M38_1131_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1131_8))) => (left_convergent_lines(skolem_N7979, M38_1131_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1131_8))))
% 293.42/42.92
% 293.42/42.92 [25829] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1131_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1131_8))) => (left_convergent_lines(skolem_N7979, M38_1131_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1131_8))))
% 293.42/42.92 -> [25832] ~(unequally_directed_lines(skolem_N7979, M38_1131_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1131_8)))
% 293.42/42.92 -> [25833] (left_convergent_lines(skolem_N7979, M38_1131_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1131_8)))
% 293.42/42.92
% 293.42/42.92 [25833] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1131_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1131_8)))
% 293.42/42.92 -> [25837] left_convergent_lines(skolem_N7979, M38_1131_8)
% 293.42/42.92 -> [25838] left_convergent_lines(skolem_N7979, reverse_line(M38_1131_8))
% 293.42/42.92
% 293.42/42.92 [25838] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [26009] ~(left_apart_point(A39_2270_9, L40_2270_9) | left_apart_point(A39_2270_9, reverse_line(L40_2270_9)))
% 293.42/42.92
% 293.42/42.92 [26009] ALPHA_NOT_OR : ~(left_apart_point(A39_2270_9, L40_2270_9) | left_apart_point(A39_2270_9, reverse_line(L40_2270_9)))
% 293.42/42.92 -> [26015] ~left_apart_point(A39_2270_9, L40_2270_9), ~left_apart_point(A39_2270_9, reverse_line(L40_2270_9))
% 293.42/42.92
% 293.42/42.92 [26015] CLOSURE : ~left_apart_point(A39_2270_9, L40_2270_9)
% 293.42/42.92
% 293.42/42.92 [25837] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [26019] ~(left_apart_point(A39_2272_9, L40_2272_9) | left_apart_point(A39_2272_9, reverse_line(L40_2272_9)))
% 293.42/42.92
% 293.42/42.92 [26019] ALPHA_NOT_OR : ~(left_apart_point(A39_2272_9, L40_2272_9) | left_apart_point(A39_2272_9, reverse_line(L40_2272_9)))
% 293.42/42.92 -> [26023] ~left_apart_point(A39_2272_9, L40_2272_9), ~left_apart_point(A39_2272_9, reverse_line(L40_2272_9))
% 293.42/42.92
% 293.42/42.92 [26023] CLOSURE : ~left_apart_point(A39_2272_9, L40_2272_9)
% 293.42/42.92
% 293.42/42.92 [25832] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1131_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1131_8)))
% 293.42/42.92 -> [25862] ~unequally_directed_lines(skolem_N7979, M38_1131_8)
% 293.42/42.92 -> [25863] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1131_8))
% 293.42/42.92
% 293.42/42.92 [25863] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1131_8))
% 293.42/42.92
% 293.42/42.92 [25862] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1131_8)
% 293.42/42.92
% 293.42/42.92 [202] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.92 -> [219] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.92
% 293.42/42.92 [219] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.42/42.92 -> [228] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.92 -> [229] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.92
% 293.42/42.92 [229] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.92 -> [240] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.92
% 293.42/42.92 [240] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.92 -> [249] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.42/42.92 -> [250] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [249] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.92 -> [312] ~distinct_points(C23_9_1, C23_9_1)
% 293.42/42.92
% 293.42/42.92 [312] 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))))
% 293.42/42.92 -> [584] (distinct_points(C23_9_1, C23_9_1) => (distinct_points(C23_9_1, C23_9_1) | distinct_points(C23_9_1, C23_9_1)))
% 293.42/42.92
% 293.42/42.92 [584] BETA_IMPLY : (distinct_points(C23_9_1, C23_9_1) => (distinct_points(C23_9_1, C23_9_1) | distinct_points(C23_9_1, C23_9_1)))
% 293.42/42.92 -> [587] ~distinct_points(C23_9_1, C23_9_1)
% 293.42/42.92 -> [588] (distinct_points(C23_9_1, C23_9_1) | distinct_points(C23_9_1, C23_9_1))
% 293.42/42.92
% 293.42/42.92 [588] BETA_OR : (distinct_points(C23_9_1, C23_9_1) | distinct_points(C23_9_1, C23_9_1))
% 293.42/42.92 -> [593] distinct_points(C23_9_1, C23_9_1)
% 293.42/42.92 -> [594] distinct_points(C23_9_1, C23_9_1)
% 293.42/42.92
% 293.42/42.92 [593] CLOSURE : distinct_points(C23_9_1, C23_9_1)
% 293.42/42.92
% 293.42/42.92 [594] CLOSURE : distinct_points(C23_9_1, C23_9_1)
% 293.42/42.92
% 293.42/42.92 [587] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.92 -> [1064] ~distinct_lines(N27_1_3, N27_1_3)
% 293.42/42.92
% 293.42/42.92 [1064] 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))))
% 293.42/42.92 -> [1616] (distinct_lines(N27_1_3, N27_1_3) => (distinct_lines(N27_1_3, N27_1_3) | distinct_lines(N27_1_3, N27_1_3)))
% 293.42/42.92
% 293.42/42.92 [1616] 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)))
% 293.42/42.92 -> [1617] ~distinct_lines(N27_1_3, N27_1_3)
% 293.42/42.92 -> [1618] (distinct_lines(N27_1_3, N27_1_3) | distinct_lines(N27_1_3, N27_1_3))
% 293.42/42.92
% 293.42/42.92 [1618] BETA_OR : (distinct_lines(N27_1_3, N27_1_3) | distinct_lines(N27_1_3, N27_1_3))
% 293.42/42.92 -> [1619] distinct_lines(N27_1_3, N27_1_3)
% 293.42/42.92 -> [1620] distinct_lines(N27_1_3, N27_1_3)
% 293.42/42.92
% 293.42/42.92 [1619] CLOSURE : distinct_lines(N27_1_3, N27_1_3)
% 293.42/42.92
% 293.42/42.92 [1620] CLOSURE : distinct_lines(N27_1_3, N27_1_3)
% 293.42/42.92
% 293.42/42.92 [1617] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.92 -> [1747] ~unequally_directed_lines(line_connecting(skolem_B8181, skolem_A8080), line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.92
% 293.42/42.92 [1747] 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))))
% 293.42/42.92 -> [1790] (unequally_directed_lines(line_connecting(skolem_B8181, skolem_A8080), skolem_L7777) => (unequally_directed_lines(line_connecting(skolem_B8181, skolem_A8080), line_connecting(skolem_B8181, skolem_A8080)) | unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))))
% 293.42/42.92
% 293.42/42.92 [1790] BETA_IMPLY : (unequally_directed_lines(line_connecting(skolem_B8181, skolem_A8080), skolem_L7777) => (unequally_directed_lines(line_connecting(skolem_B8181, skolem_A8080), line_connecting(skolem_B8181, skolem_A8080)) | unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))))
% 293.42/42.92 -> [1793] ~unequally_directed_lines(line_connecting(skolem_B8181, skolem_A8080), skolem_L7777)
% 293.42/42.92 -> [1794] (unequally_directed_lines(line_connecting(skolem_B8181, skolem_A8080), line_connecting(skolem_B8181, skolem_A8080)) | unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.92
% 293.42/42.92 [1794] BETA_OR : (unequally_directed_lines(line_connecting(skolem_B8181, skolem_A8080), line_connecting(skolem_B8181, skolem_A8080)) | unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.92 -> [1801] unequally_directed_lines(line_connecting(skolem_B8181, skolem_A8080), line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.92 -> [1802] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.92
% 293.42/42.92 [1802] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.92
% 293.42/42.92 [1801] CLOSURE : unequally_directed_lines(line_connecting(skolem_B8181, skolem_A8080), line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.92
% 293.42/42.92 [1793] 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))))))
% 293.42/42.92 -> [4282] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_8_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_8_6))) | (unequally_directed_lines(skolem_N7979, N34_8_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_8_6)))))
% 293.42/42.92
% 293.42/42.92 [4282] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_8_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_8_6))) | (unequally_directed_lines(skolem_N7979, N34_8_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_8_6)))))
% 293.42/42.92 -> [4283] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [4284] ((unequally_directed_lines(skolem_M7878, N34_8_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_8_6))) | (unequally_directed_lines(skolem_N7979, N34_8_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_8_6))))
% 293.42/42.92
% 293.42/42.92 [4283] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [4314] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92 -> [4315] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [4315] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [4314] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92
% 293.42/42.92 [4284] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_8_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_8_6))) | (unequally_directed_lines(skolem_N7979, N34_8_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_8_6))))
% 293.42/42.92 -> [8171] (unequally_directed_lines(skolem_M7878, N34_8_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_8_6)))
% 293.42/42.92 -> [8172] (unequally_directed_lines(skolem_N7979, N34_8_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_8_6)))
% 293.42/42.92
% 293.42/42.92 [8172] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_8_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_8_6)))
% 293.42/42.92 -> [8177] unequally_directed_lines(skolem_N7979, N34_8_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_8_6))
% 293.42/42.92
% 293.42/42.92 [8177] 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)))))
% 293.42/42.92 -> [8275] ((line(line_connecting(skolem_B8181, skolem_A8080)) & line(skolem_L7777)) => (unequally_directed_lines(line_connecting(skolem_B8181, skolem_A8080), skolem_L7777) | unequally_directed_lines(line_connecting(skolem_B8181, skolem_A8080), reverse_line(skolem_L7777))))
% 293.42/42.92
% 293.42/42.92 [8275] BETA_IMPLY : ((line(line_connecting(skolem_B8181, skolem_A8080)) & line(skolem_L7777)) => (unequally_directed_lines(line_connecting(skolem_B8181, skolem_A8080), skolem_L7777) | unequally_directed_lines(line_connecting(skolem_B8181, skolem_A8080), reverse_line(skolem_L7777))))
% 293.42/42.92 -> [8280] ~(line(line_connecting(skolem_B8181, skolem_A8080)) & line(skolem_L7777))
% 293.42/42.92 -> [8281] (unequally_directed_lines(line_connecting(skolem_B8181, skolem_A8080), skolem_L7777) | unequally_directed_lines(line_connecting(skolem_B8181, skolem_A8080), reverse_line(skolem_L7777)))
% 293.42/42.92
% 293.42/42.92 [8280] BETA_NOT_AND : ~(line(line_connecting(skolem_B8181, skolem_A8080)) & line(skolem_L7777))
% 293.42/42.92 -> [8313] ~line(line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.92 -> [8314] ~line(skolem_L7777)
% 293.42/42.92
% 293.42/42.92 [8313] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [8951] ((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))))
% 293.42/42.92
% 293.42/42.92 [8951] 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))))
% 293.42/42.92 -> [8953] ~(unequally_directed_lines(skolem_N7979, M38_111_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_111_8)))
% 293.42/42.92 -> [8954] (left_convergent_lines(skolem_N7979, M38_111_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_111_8)))
% 293.42/42.92
% 293.42/42.92 [8953] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_111_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_111_8)))
% 293.42/42.92 -> [8971] ~unequally_directed_lines(skolem_N7979, M38_111_8)
% 293.42/42.92 -> [8972] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_111_8))
% 293.42/42.92
% 293.42/42.92 [8972] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_111_8))
% 293.42/42.92
% 293.42/42.92 [8971] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_111_8)
% 293.42/42.92
% 293.42/42.92 [8954] BETA_OR : (left_convergent_lines(skolem_N7979, M38_111_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_111_8)))
% 293.42/42.92 -> [8957] left_convergent_lines(skolem_N7979, M38_111_8)
% 293.42/42.92 -> [8958] left_convergent_lines(skolem_N7979, reverse_line(M38_111_8))
% 293.42/42.92
% 293.42/42.92 [8958] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [9022] ~(left_apart_point(A39_200_9, L40_200_9) | left_apart_point(A39_200_9, reverse_line(L40_200_9)))
% 293.42/42.92
% 293.42/42.92 [9022] ALPHA_NOT_OR : ~(left_apart_point(A39_200_9, L40_200_9) | left_apart_point(A39_200_9, reverse_line(L40_200_9)))
% 293.42/42.92 -> [9023] ~left_apart_point(A39_200_9, L40_200_9), ~left_apart_point(A39_200_9, reverse_line(L40_200_9))
% 293.42/42.92
% 293.42/42.92 [9023] CLOSURE : ~left_apart_point(A39_200_9, L40_200_9)
% 293.42/42.92
% 293.42/42.92 [8957] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [9060] ~(left_apart_point(A39_206_9, L40_206_9) | left_apart_point(A39_206_9, reverse_line(L40_206_9)))
% 293.42/42.92
% 293.42/42.92 [9060] ALPHA_NOT_OR : ~(left_apart_point(A39_206_9, L40_206_9) | left_apart_point(A39_206_9, reverse_line(L40_206_9)))
% 293.42/42.92 -> [9061] ~left_apart_point(A39_206_9, L40_206_9), ~left_apart_point(A39_206_9, reverse_line(L40_206_9))
% 293.42/42.92
% 293.42/42.92 [9061] CLOSURE : ~left_apart_point(A39_206_9, L40_206_9)
% 293.42/42.92
% 293.42/42.92 [8314] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [8448] ((unequally_directed_lines(skolem_N7979, M38_89_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_89_8))) => (left_convergent_lines(skolem_N7979, M38_89_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_89_8))))
% 293.42/42.92
% 293.42/42.92 [8448] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_89_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_89_8))) => (left_convergent_lines(skolem_N7979, M38_89_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_89_8))))
% 293.42/42.92 -> [8452] ~(unequally_directed_lines(skolem_N7979, M38_89_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_89_8)))
% 293.42/42.92 -> [8453] (left_convergent_lines(skolem_N7979, M38_89_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_89_8)))
% 293.42/42.92
% 293.42/42.92 [8453] BETA_OR : (left_convergent_lines(skolem_N7979, M38_89_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_89_8)))
% 293.42/42.92 -> [8454] left_convergent_lines(skolem_N7979, M38_89_8)
% 293.42/42.92 -> [8455] left_convergent_lines(skolem_N7979, reverse_line(M38_89_8))
% 293.42/42.92
% 293.42/42.92 [8455] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [9072] ~(left_apart_point(A39_207_9, L40_207_9) | left_apart_point(A39_207_9, reverse_line(L40_207_9)))
% 293.42/42.92
% 293.42/42.92 [9072] ALPHA_NOT_OR : ~(left_apart_point(A39_207_9, L40_207_9) | left_apart_point(A39_207_9, reverse_line(L40_207_9)))
% 293.42/42.92 -> [9074] ~left_apart_point(A39_207_9, L40_207_9), ~left_apart_point(A39_207_9, reverse_line(L40_207_9))
% 293.42/42.92
% 293.42/42.92 [9074] CLOSURE : ~left_apart_point(A39_207_9, L40_207_9)
% 293.42/42.92
% 293.42/42.92 [8454] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [9226] ~(left_apart_point(A39_221_9, L40_221_9) | left_apart_point(A39_221_9, reverse_line(L40_221_9)))
% 293.42/42.92
% 293.42/42.92 [9226] ALPHA_NOT_OR : ~(left_apart_point(A39_221_9, L40_221_9) | left_apart_point(A39_221_9, reverse_line(L40_221_9)))
% 293.42/42.92 -> [9227] ~left_apart_point(A39_221_9, L40_221_9), ~left_apart_point(A39_221_9, reverse_line(L40_221_9))
% 293.42/42.92
% 293.42/42.92 [9227] CLOSURE : ~left_apart_point(A39_221_9, L40_221_9)
% 293.42/42.92
% 293.42/42.92 [8452] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_89_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_89_8)))
% 293.42/42.92 -> [8955] ~unequally_directed_lines(skolem_N7979, M38_89_8)
% 293.42/42.92 -> [8956] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_89_8))
% 293.42/42.92
% 293.42/42.92 [8956] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_89_8))
% 293.42/42.92
% 293.42/42.92 [8955] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_89_8)
% 293.42/42.92
% 293.42/42.92 [8281] BETA_OR : (unequally_directed_lines(line_connecting(skolem_B8181, skolem_A8080), skolem_L7777) | unequally_directed_lines(line_connecting(skolem_B8181, skolem_A8080), reverse_line(skolem_L7777)))
% 293.42/42.92 -> [8286] unequally_directed_lines(line_connecting(skolem_B8181, skolem_A8080), skolem_L7777)
% 293.42/42.92 -> [8287] unequally_directed_lines(line_connecting(skolem_B8181, skolem_A8080), reverse_line(skolem_L7777))
% 293.42/42.92
% 293.42/42.92 [8286] CLOSURE : unequally_directed_lines(line_connecting(skolem_B8181, skolem_A8080), skolem_L7777)
% 293.42/42.92
% 293.42/42.92 [8287] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [8458] ((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))))
% 293.42/42.92
% 293.42/42.92 [8458] 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))))
% 293.42/42.92 -> [8461] ~(unequally_directed_lines(skolem_N7979, M38_90_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_90_8)))
% 293.42/42.92 -> [8462] (left_convergent_lines(skolem_N7979, M38_90_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_90_8)))
% 293.42/42.92
% 293.42/42.92 [8462] BETA_OR : (left_convergent_lines(skolem_N7979, M38_90_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_90_8)))
% 293.42/42.92 -> [8463] left_convergent_lines(skolem_N7979, M38_90_8)
% 293.42/42.92 -> [8464] left_convergent_lines(skolem_N7979, reverse_line(M38_90_8))
% 293.42/42.92
% 293.42/42.92 [8464] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [9043] ~(left_apart_point(A39_203_9, L40_203_9) | left_apart_point(A39_203_9, reverse_line(L40_203_9)))
% 293.42/42.92
% 293.42/42.92 [9043] ALPHA_NOT_OR : ~(left_apart_point(A39_203_9, L40_203_9) | left_apart_point(A39_203_9, reverse_line(L40_203_9)))
% 293.42/42.92 -> [9044] ~left_apart_point(A39_203_9, L40_203_9), ~left_apart_point(A39_203_9, reverse_line(L40_203_9))
% 293.42/42.92
% 293.42/42.92 [9044] CLOSURE : ~left_apart_point(A39_203_9, L40_203_9)
% 293.42/42.92
% 293.42/42.92 [8463] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [9204] ~(left_apart_point(A39_220_9, L40_220_9) | left_apart_point(A39_220_9, reverse_line(L40_220_9)))
% 293.42/42.92
% 293.42/42.92 [9204] ALPHA_NOT_OR : ~(left_apart_point(A39_220_9, L40_220_9) | left_apart_point(A39_220_9, reverse_line(L40_220_9)))
% 293.42/42.92 -> [9209] ~left_apart_point(A39_220_9, L40_220_9), ~left_apart_point(A39_220_9, reverse_line(L40_220_9))
% 293.42/42.92
% 293.42/42.92 [9209] CLOSURE : ~left_apart_point(A39_220_9, L40_220_9)
% 293.42/42.92
% 293.42/42.92 [8461] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_90_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_90_8)))
% 293.42/42.92 -> [8973] ~unequally_directed_lines(skolem_N7979, M38_90_8)
% 293.42/42.92 -> [8974] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_90_8))
% 293.42/42.92
% 293.42/42.92 [8974] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_90_8))
% 293.42/42.92
% 293.42/42.92 [8973] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_90_8)
% 293.42/42.92
% 293.42/42.92 [8171] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_8_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_8_6)))
% 293.42/42.92 -> [8185] unequally_directed_lines(skolem_M7878, N34_8_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_8_6))
% 293.42/42.92
% 293.42/42.92 [8185] 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)))))
% 293.42/42.92 -> [8299] ((line(line_connecting(skolem_B8181, skolem_A8080)) & line(skolem_L7777)) => (unequally_directed_lines(line_connecting(skolem_B8181, skolem_A8080), skolem_L7777) | unequally_directed_lines(line_connecting(skolem_B8181, skolem_A8080), reverse_line(skolem_L7777))))
% 293.42/42.92
% 293.42/42.92 [8299] BETA_IMPLY : ((line(line_connecting(skolem_B8181, skolem_A8080)) & line(skolem_L7777)) => (unequally_directed_lines(line_connecting(skolem_B8181, skolem_A8080), skolem_L7777) | unequally_directed_lines(line_connecting(skolem_B8181, skolem_A8080), reverse_line(skolem_L7777))))
% 293.42/42.92 -> [8303] ~(line(line_connecting(skolem_B8181, skolem_A8080)) & line(skolem_L7777))
% 293.42/42.92 -> [8304] (unequally_directed_lines(line_connecting(skolem_B8181, skolem_A8080), skolem_L7777) | unequally_directed_lines(line_connecting(skolem_B8181, skolem_A8080), reverse_line(skolem_L7777)))
% 293.42/42.92
% 293.42/42.92 [8304] BETA_OR : (unequally_directed_lines(line_connecting(skolem_B8181, skolem_A8080), skolem_L7777) | unequally_directed_lines(line_connecting(skolem_B8181, skolem_A8080), reverse_line(skolem_L7777)))
% 293.42/42.92 -> [8307] unequally_directed_lines(line_connecting(skolem_B8181, skolem_A8080), skolem_L7777)
% 293.42/42.92 -> [8308] unequally_directed_lines(line_connecting(skolem_B8181, skolem_A8080), reverse_line(skolem_L7777))
% 293.42/42.92
% 293.42/42.92 [8307] CLOSURE : unequally_directed_lines(line_connecting(skolem_B8181, skolem_A8080), skolem_L7777)
% 293.42/42.92
% 293.42/42.92 [8308] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [8937] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.92
% 293.42/42.92 [8937] 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))))
% 293.42/42.92 -> [8942] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [8943] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92
% 293.42/42.92 [8943] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [8948] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.92 -> [8949] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [8948] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [9158] ~(left_apart_point(A39_215_9, L40_215_9) | left_apart_point(A39_215_9, reverse_line(L40_215_9)))
% 293.42/42.92
% 293.42/42.92 [9158] ALPHA_NOT_OR : ~(left_apart_point(A39_215_9, L40_215_9) | left_apart_point(A39_215_9, reverse_line(L40_215_9)))
% 293.42/42.92 -> [9162] ~left_apart_point(A39_215_9, L40_215_9), ~left_apart_point(A39_215_9, reverse_line(L40_215_9))
% 293.42/42.92
% 293.42/42.92 [9162] CLOSURE : ~left_apart_point(A39_215_9, L40_215_9)
% 293.42/42.92
% 293.42/42.92 [8949] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [9164] ~(left_apart_point(A39_217_9, L40_217_9) | left_apart_point(A39_217_9, reverse_line(L40_217_9)))
% 293.42/42.92
% 293.42/42.92 [9164] ALPHA_NOT_OR : ~(left_apart_point(A39_217_9, L40_217_9) | left_apart_point(A39_217_9, reverse_line(L40_217_9)))
% 293.42/42.92 -> [9165] ~left_apart_point(A39_217_9, L40_217_9), ~left_apart_point(A39_217_9, reverse_line(L40_217_9))
% 293.42/42.92
% 293.42/42.92 [9165] CLOSURE : ~left_apart_point(A39_217_9, L40_217_9)
% 293.42/42.92
% 293.42/42.92 [8942] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [8982] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.92 -> [8983] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [8983] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [8982] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [8303] BETA_NOT_AND : ~(line(line_connecting(skolem_B8181, skolem_A8080)) & line(skolem_L7777))
% 293.42/42.92 -> [8339] ~line(line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.92 -> [8340] ~line(skolem_L7777)
% 293.42/42.92
% 293.42/42.92 [8340] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [8920] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.92
% 293.42/42.92 [8920] 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))))
% 293.42/42.92 -> [8921] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [8922] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92
% 293.42/42.92 [8921] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [8965] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.92 -> [8966] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [8966] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [8965] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [8922] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [8927] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.92 -> [8928] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [8928] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [9058] ~(left_apart_point(A39_205_9, L40_205_9) | left_apart_point(A39_205_9, reverse_line(L40_205_9)))
% 293.42/42.92
% 293.42/42.92 [9058] ALPHA_NOT_OR : ~(left_apart_point(A39_205_9, L40_205_9) | left_apart_point(A39_205_9, reverse_line(L40_205_9)))
% 293.42/42.92 -> [9059] ~left_apart_point(A39_205_9, L40_205_9), ~left_apart_point(A39_205_9, reverse_line(L40_205_9))
% 293.42/42.92
% 293.42/42.92 [9059] CLOSURE : ~left_apart_point(A39_205_9, L40_205_9)
% 293.42/42.92
% 293.42/42.92 [8927] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [9113] ~(left_apart_point(A39_212_9, L40_212_9) | left_apart_point(A39_212_9, reverse_line(L40_212_9)))
% 293.42/42.92
% 293.42/42.92 [9113] ALPHA_NOT_OR : ~(left_apart_point(A39_212_9, L40_212_9) | left_apart_point(A39_212_9, reverse_line(L40_212_9)))
% 293.42/42.92 -> [9115] ~left_apart_point(A39_212_9, L40_212_9), ~left_apart_point(A39_212_9, reverse_line(L40_212_9))
% 293.42/42.92
% 293.42/42.92 [9115] CLOSURE : ~left_apart_point(A39_212_9, L40_212_9)
% 293.42/42.92
% 293.42/42.92 [8339] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [9147] ((unequally_directed_lines(skolem_M7878, M38_118_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_118_8))) => (left_convergent_lines(skolem_M7878, M38_118_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_118_8))))
% 293.42/42.92
% 293.42/42.92 [9147] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_118_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_118_8))) => (left_convergent_lines(skolem_M7878, M38_118_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_118_8))))
% 293.42/42.92 -> [9150] ~(unequally_directed_lines(skolem_M7878, M38_118_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_118_8)))
% 293.42/42.92 -> [9151] (left_convergent_lines(skolem_M7878, M38_118_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_118_8)))
% 293.42/42.92
% 293.42/42.92 [9150] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_118_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_118_8)))
% 293.42/42.92 -> [9216] ~unequally_directed_lines(skolem_M7878, M38_118_8)
% 293.42/42.92 -> [9217] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_118_8))
% 293.42/42.92
% 293.42/42.92 [9217] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_118_8))
% 293.42/42.92
% 293.42/42.92 [9216] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_118_8)
% 293.42/42.92
% 293.42/42.92 [9151] BETA_OR : (left_convergent_lines(skolem_M7878, M38_118_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_118_8)))
% 293.42/42.92 -> [9154] left_convergent_lines(skolem_M7878, M38_118_8)
% 293.42/42.92 -> [9155] left_convergent_lines(skolem_M7878, reverse_line(M38_118_8))
% 293.42/42.92
% 293.42/42.92 [9154] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [9429] ~(left_apart_point(A39_232_9, L40_232_9) | left_apart_point(A39_232_9, reverse_line(L40_232_9)))
% 293.42/42.92
% 293.42/42.92 [9429] ALPHA_NOT_OR : ~(left_apart_point(A39_232_9, L40_232_9) | left_apart_point(A39_232_9, reverse_line(L40_232_9)))
% 293.42/42.92 -> [9430] ~left_apart_point(A39_232_9, L40_232_9), ~left_apart_point(A39_232_9, reverse_line(L40_232_9))
% 293.42/42.92
% 293.42/42.92 [9430] CLOSURE : ~left_apart_point(A39_232_9, L40_232_9)
% 293.42/42.92
% 293.42/42.92 [9155] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [9308] ~(left_apart_point(A39_225_9, L40_225_9) | left_apart_point(A39_225_9, reverse_line(L40_225_9)))
% 293.42/42.92
% 293.42/42.92 [9308] ALPHA_NOT_OR : ~(left_apart_point(A39_225_9, L40_225_9) | left_apart_point(A39_225_9, reverse_line(L40_225_9)))
% 293.42/42.92 -> [9309] ~left_apart_point(A39_225_9, L40_225_9), ~left_apart_point(A39_225_9, reverse_line(L40_225_9))
% 293.42/42.92
% 293.42/42.92 [9309] CLOSURE : ~left_apart_point(A39_225_9, L40_225_9)
% 293.42/42.92
% 293.42/42.92 [250] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.92 -> [359] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.92
% 293.42/42.92 [359] 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))))
% 293.42/42.92 -> [501] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.92
% 293.42/42.92 [501] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.92 -> [506] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.92 -> [507] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.92
% 293.42/42.92 [506] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.92
% 293.42/42.92 [507] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.92 -> [4689] distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.92 -> [4690] distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.92
% 293.42/42.92 [4690] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.92
% 293.42/42.92 [4689] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.92 -> [5296] ~distinct_lines(N27_155_3, N27_155_3)
% 293.42/42.92
% 293.42/42.92 [5296] 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))))
% 293.42/42.92 -> [5501] (distinct_lines(N27_155_3, N27_155_3) => (distinct_lines(N27_155_3, N27_155_3) | distinct_lines(N27_155_3, N27_155_3)))
% 293.42/42.92
% 293.42/42.92 [5501] BETA_IMPLY : (distinct_lines(N27_155_3, N27_155_3) => (distinct_lines(N27_155_3, N27_155_3) | distinct_lines(N27_155_3, N27_155_3)))
% 293.42/42.92 -> [5503] ~distinct_lines(N27_155_3, N27_155_3)
% 293.42/42.92 -> [5504] (distinct_lines(N27_155_3, N27_155_3) | distinct_lines(N27_155_3, N27_155_3))
% 293.42/42.92
% 293.42/42.92 [5504] BETA_OR : (distinct_lines(N27_155_3, N27_155_3) | distinct_lines(N27_155_3, N27_155_3))
% 293.42/42.92 -> [5507] distinct_lines(N27_155_3, N27_155_3)
% 293.42/42.92 -> [5508] distinct_lines(N27_155_3, N27_155_3)
% 293.42/42.92
% 293.42/42.92 [5507] CLOSURE : distinct_lines(N27_155_3, N27_155_3)
% 293.42/42.92
% 293.42/42.92 [5508] CLOSURE : distinct_lines(N27_155_3, N27_155_3)
% 293.42/42.92
% 293.42/42.92 [5503] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.92 -> [5794] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [5794] 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))))
% 293.42/42.92 -> [6128] (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))))
% 293.42/42.92
% 293.42/42.92 [6128] 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))))
% 293.42/42.92 -> [6129] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92 -> [6130] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.92
% 293.42/42.92 [6129] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [6130] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.92 -> [12966] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92 -> [12967] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [12967] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [12966] 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))))))
% 293.42/42.92 -> [22753] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_266_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_266_6))) | (unequally_directed_lines(skolem_N7979, N34_266_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_266_6)))))
% 293.42/42.92
% 293.42/42.92 [22753] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_266_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_266_6))) | (unequally_directed_lines(skolem_N7979, N34_266_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_266_6)))))
% 293.42/42.92 -> [22757] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [22758] ((unequally_directed_lines(skolem_M7878, N34_266_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_266_6))) | (unequally_directed_lines(skolem_N7979, N34_266_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_266_6))))
% 293.42/42.92
% 293.42/42.92 [22757] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [22808] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92 -> [22809] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [22809] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [22808] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92
% 293.42/42.92 [22758] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_266_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_266_6))) | (unequally_directed_lines(skolem_N7979, N34_266_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_266_6))))
% 293.42/42.92 -> [24998] (unequally_directed_lines(skolem_M7878, N34_266_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_266_6)))
% 293.42/42.92 -> [24999] (unequally_directed_lines(skolem_N7979, N34_266_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_266_6)))
% 293.42/42.92
% 293.42/42.92 [24998] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_266_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_266_6)))
% 293.42/42.92 -> [25017] unequally_directed_lines(skolem_M7878, N34_266_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_266_6))
% 293.42/42.92
% 293.42/42.92 [25017] 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)))))
% 293.42/42.92 -> [26313] ((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))))
% 293.42/42.92
% 293.42/42.92 [26313] 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))))
% 293.42/42.92 -> [26317] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.92 -> [26318] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.92
% 293.42/42.92 [26317] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.92 -> [26329] ~line(reverse_line(skolem_N7979))
% 293.42/42.92 -> [26330] ~line(skolem_N7979)
% 293.42/42.92
% 293.42/42.92 [26329] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [26362] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.92
% 293.42/42.92 [26362] 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))))
% 293.42/42.92 -> [26365] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [26366] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92
% 293.42/42.92 [26365] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [26384] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.92 -> [26385] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [26384] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [26385] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [26366] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [26367] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.92 -> [26368] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [26368] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [26396] ~(left_apart_point(A39_2326_9, L40_2326_9) | left_apart_point(A39_2326_9, reverse_line(L40_2326_9)))
% 293.42/42.92
% 293.42/42.92 [26396] ALPHA_NOT_OR : ~(left_apart_point(A39_2326_9, L40_2326_9) | left_apart_point(A39_2326_9, reverse_line(L40_2326_9)))
% 293.42/42.92 -> [26398] ~left_apart_point(A39_2326_9, L40_2326_9), ~left_apart_point(A39_2326_9, reverse_line(L40_2326_9))
% 293.42/42.92
% 293.42/42.92 [26398] CLOSURE : ~left_apart_point(A39_2326_9, L40_2326_9)
% 293.42/42.92
% 293.42/42.92 [26367] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [26408] ~(left_apart_point(A39_2329_9, L40_2329_9) | left_apart_point(A39_2329_9, reverse_line(L40_2329_9)))
% 293.42/42.92
% 293.42/42.92 [26408] ALPHA_NOT_OR : ~(left_apart_point(A39_2329_9, L40_2329_9) | left_apart_point(A39_2329_9, reverse_line(L40_2329_9)))
% 293.42/42.92 -> [26410] ~left_apart_point(A39_2329_9, L40_2329_9), ~left_apart_point(A39_2329_9, reverse_line(L40_2329_9))
% 293.42/42.92
% 293.42/42.92 [26410] CLOSURE : ~left_apart_point(A39_2329_9, L40_2329_9)
% 293.42/42.92
% 293.42/42.92 [26330] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [26344] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.92
% 293.42/42.92 [26344] 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))))
% 293.42/42.92 -> [26348] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [26349] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92
% 293.42/42.92 [26348] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [26374] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.92 -> [26375] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [26375] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [26374] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [26349] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [26355] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.92 -> [26356] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [26356] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [26397] ~(left_apart_point(A39_2327_9, L40_2327_9) | left_apart_point(A39_2327_9, reverse_line(L40_2327_9)))
% 293.42/42.92
% 293.42/42.92 [26397] ALPHA_NOT_OR : ~(left_apart_point(A39_2327_9, L40_2327_9) | left_apart_point(A39_2327_9, reverse_line(L40_2327_9)))
% 293.42/42.92 -> [26399] ~left_apart_point(A39_2327_9, L40_2327_9), ~left_apart_point(A39_2327_9, reverse_line(L40_2327_9))
% 293.42/42.92
% 293.42/42.92 [26399] CLOSURE : ~left_apart_point(A39_2327_9, L40_2327_9)
% 293.42/42.92
% 293.42/42.92 [26355] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [26418] ~(left_apart_point(A39_2331_9, L40_2331_9) | left_apart_point(A39_2331_9, reverse_line(L40_2331_9)))
% 293.42/42.92
% 293.42/42.92 [26418] ALPHA_NOT_OR : ~(left_apart_point(A39_2331_9, L40_2331_9) | left_apart_point(A39_2331_9, reverse_line(L40_2331_9)))
% 293.42/42.92 -> [26419] ~left_apart_point(A39_2331_9, L40_2331_9), ~left_apart_point(A39_2331_9, reverse_line(L40_2331_9))
% 293.42/42.92
% 293.42/42.92 [26419] CLOSURE : ~left_apart_point(A39_2331_9, L40_2331_9)
% 293.42/42.92
% 293.42/42.92 [26318] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.92 -> [26321] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 293.42/42.92 -> [26322] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [26322] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [26321] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [26428] ((unequally_directed_lines(skolem_M7878, M38_1173_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1173_8))) => (left_convergent_lines(skolem_M7878, M38_1173_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1173_8))))
% 293.42/42.92
% 293.42/42.92 [26428] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_1173_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1173_8))) => (left_convergent_lines(skolem_M7878, M38_1173_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1173_8))))
% 293.42/42.92 -> [26429] ~(unequally_directed_lines(skolem_M7878, M38_1173_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1173_8)))
% 293.42/42.92 -> [26430] (left_convergent_lines(skolem_M7878, M38_1173_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1173_8)))
% 293.42/42.92
% 293.42/42.92 [26430] BETA_OR : (left_convergent_lines(skolem_M7878, M38_1173_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1173_8)))
% 293.42/42.92 -> [26431] left_convergent_lines(skolem_M7878, M38_1173_8)
% 293.42/42.92 -> [26432] left_convergent_lines(skolem_M7878, reverse_line(M38_1173_8))
% 293.42/42.92
% 293.42/42.92 [26431] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [26443] ~(left_apart_point(A39_2335_9, L40_2335_9) | left_apart_point(A39_2335_9, reverse_line(L40_2335_9)))
% 293.42/42.92
% 293.42/42.92 [26443] ALPHA_NOT_OR : ~(left_apart_point(A39_2335_9, L40_2335_9) | left_apart_point(A39_2335_9, reverse_line(L40_2335_9)))
% 293.42/42.92 -> [26444] ~left_apart_point(A39_2335_9, L40_2335_9), ~left_apart_point(A39_2335_9, reverse_line(L40_2335_9))
% 293.42/42.92
% 293.42/42.92 [26444] CLOSURE : ~left_apart_point(A39_2335_9, L40_2335_9)
% 293.42/42.92
% 293.42/42.92 [26432] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [26445] ~(left_apart_point(A39_2336_9, L40_2336_9) | left_apart_point(A39_2336_9, reverse_line(L40_2336_9)))
% 293.42/42.92
% 293.42/42.92 [26445] ALPHA_NOT_OR : ~(left_apart_point(A39_2336_9, L40_2336_9) | left_apart_point(A39_2336_9, reverse_line(L40_2336_9)))
% 293.42/42.92 -> [26446] ~left_apart_point(A39_2336_9, L40_2336_9), ~left_apart_point(A39_2336_9, reverse_line(L40_2336_9))
% 293.42/42.92
% 293.42/42.92 [26446] CLOSURE : ~left_apart_point(A39_2336_9, L40_2336_9)
% 293.42/42.92
% 293.42/42.92 [26429] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_1173_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1173_8)))
% 293.42/42.92 -> [26440] ~unequally_directed_lines(skolem_M7878, M38_1173_8)
% 293.42/42.92 -> [26441] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_1173_8))
% 293.42/42.92
% 293.42/42.92 [26441] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_1173_8))
% 293.42/42.92
% 293.42/42.92 [26440] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_1173_8)
% 293.42/42.92
% 293.42/42.92 [24999] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_266_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_266_6)))
% 293.42/42.92 -> [25000] unequally_directed_lines(skolem_N7979, N34_266_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_266_6))
% 293.42/42.92
% 293.42/42.92 [25000] 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)))))
% 293.42/42.92 -> [26045] ((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)))))
% 293.42/42.92
% 293.42/42.92 [26045] 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)))))
% 293.42/42.92 -> [26049] ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.92 -> [26050] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 293.42/42.92
% 293.42/42.92 [26049] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.92 -> [26068] ~line(reverse_line(skolem_N7979))
% 293.42/42.92 -> [26069] ~line(reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [26068] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [26086] ((unequally_directed_lines(skolem_N7979, M38_1148_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1148_8))) => (left_convergent_lines(skolem_N7979, M38_1148_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1148_8))))
% 293.42/42.92
% 293.42/42.92 [26086] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1148_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1148_8))) => (left_convergent_lines(skolem_N7979, M38_1148_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1148_8))))
% 293.42/42.92 -> [26090] ~(unequally_directed_lines(skolem_N7979, M38_1148_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1148_8)))
% 293.42/42.92 -> [26091] (left_convergent_lines(skolem_N7979, M38_1148_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1148_8)))
% 293.42/42.92
% 293.42/42.92 [26090] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1148_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1148_8)))
% 293.42/42.92 -> [26107] ~unequally_directed_lines(skolem_N7979, M38_1148_8)
% 293.42/42.92 -> [26108] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1148_8))
% 293.42/42.92
% 293.42/42.92 [26108] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1148_8))
% 293.42/42.92
% 293.42/42.92 [26107] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1148_8)
% 293.42/42.92
% 293.42/42.92 [26091] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1148_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1148_8)))
% 293.42/42.92 -> [26098] left_convergent_lines(skolem_N7979, M38_1148_8)
% 293.42/42.92 -> [26099] left_convergent_lines(skolem_N7979, reverse_line(M38_1148_8))
% 293.42/42.92
% 293.42/42.92 [26099] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [26136] ~(left_apart_point(A39_2291_9, L40_2291_9) | left_apart_point(A39_2291_9, reverse_line(L40_2291_9)))
% 293.42/42.92
% 293.42/42.92 [26136] ALPHA_NOT_OR : ~(left_apart_point(A39_2291_9, L40_2291_9) | left_apart_point(A39_2291_9, reverse_line(L40_2291_9)))
% 293.42/42.92 -> [26138] ~left_apart_point(A39_2291_9, L40_2291_9), ~left_apart_point(A39_2291_9, reverse_line(L40_2291_9))
% 293.42/42.92
% 293.42/42.92 [26138] CLOSURE : ~left_apart_point(A39_2291_9, L40_2291_9)
% 293.42/42.92
% 293.42/42.92 [26098] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [26150] ~(left_apart_point(A39_2296_9, L40_2296_9) | left_apart_point(A39_2296_9, reverse_line(L40_2296_9)))
% 293.42/42.92
% 293.42/42.92 [26150] ALPHA_NOT_OR : ~(left_apart_point(A39_2296_9, L40_2296_9) | left_apart_point(A39_2296_9, reverse_line(L40_2296_9)))
% 293.42/42.92 -> [26152] ~left_apart_point(A39_2296_9, L40_2296_9), ~left_apart_point(A39_2296_9, reverse_line(L40_2296_9))
% 293.42/42.92
% 293.42/42.92 [26152] CLOSURE : ~left_apart_point(A39_2296_9, L40_2296_9)
% 293.42/42.92
% 293.42/42.92 [26069] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [26089] ((unequally_directed_lines(skolem_N7979, M38_1149_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1149_8))) => (left_convergent_lines(skolem_N7979, M38_1149_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1149_8))))
% 293.42/42.92
% 293.42/42.92 [26089] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1149_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1149_8))) => (left_convergent_lines(skolem_N7979, M38_1149_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1149_8))))
% 293.42/42.92 -> [26095] ~(unequally_directed_lines(skolem_N7979, M38_1149_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1149_8)))
% 293.42/42.92 -> [26096] (left_convergent_lines(skolem_N7979, M38_1149_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1149_8)))
% 293.42/42.92
% 293.42/42.92 [26096] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1149_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1149_8)))
% 293.42/42.92 -> [26100] left_convergent_lines(skolem_N7979, M38_1149_8)
% 293.42/42.92 -> [26101] left_convergent_lines(skolem_N7979, reverse_line(M38_1149_8))
% 293.42/42.92
% 293.42/42.92 [26101] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [26137] ~(left_apart_point(A39_2292_9, L40_2292_9) | left_apart_point(A39_2292_9, reverse_line(L40_2292_9)))
% 293.42/42.92
% 293.42/42.92 [26137] ALPHA_NOT_OR : ~(left_apart_point(A39_2292_9, L40_2292_9) | left_apart_point(A39_2292_9, reverse_line(L40_2292_9)))
% 293.42/42.92 -> [26140] ~left_apart_point(A39_2292_9, L40_2292_9), ~left_apart_point(A39_2292_9, reverse_line(L40_2292_9))
% 293.42/42.92
% 293.42/42.92 [26140] CLOSURE : ~left_apart_point(A39_2292_9, L40_2292_9)
% 293.42/42.92
% 293.42/42.92 [26100] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [26151] ~(left_apart_point(A39_2297_9, L40_2297_9) | left_apart_point(A39_2297_9, reverse_line(L40_2297_9)))
% 293.42/42.92
% 293.42/42.92 [26151] ALPHA_NOT_OR : ~(left_apart_point(A39_2297_9, L40_2297_9) | left_apart_point(A39_2297_9, reverse_line(L40_2297_9)))
% 293.42/42.92 -> [26155] ~left_apart_point(A39_2297_9, L40_2297_9), ~left_apart_point(A39_2297_9, reverse_line(L40_2297_9))
% 293.42/42.92
% 293.42/42.92 [26155] CLOSURE : ~left_apart_point(A39_2297_9, L40_2297_9)
% 293.42/42.92
% 293.42/42.92 [26095] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1149_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1149_8)))
% 293.42/42.92 -> [26113] ~unequally_directed_lines(skolem_N7979, M38_1149_8)
% 293.42/42.92 -> [26114] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1149_8))
% 293.42/42.92
% 293.42/42.92 [26114] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1149_8))
% 293.42/42.92
% 293.42/42.92 [26113] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1149_8)
% 293.42/42.92
% 293.42/42.92 [26050] 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))))
% 293.42/42.92 -> [26055] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.92 -> [26056] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 293.42/42.92
% 293.42/42.92 [26055] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [26056] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [26569] ((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))))
% 293.42/42.92
% 293.42/42.92 [26569] 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))))
% 293.42/42.92 -> [26570] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [26571] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92
% 293.42/42.92 [26571] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [26572] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92 -> [26573] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [26573] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [26578] ~(left_apart_point(A39_2361_9, L40_2361_9) | left_apart_point(A39_2361_9, reverse_line(L40_2361_9)))
% 293.42/42.92
% 293.42/42.92 [26578] ALPHA_NOT_OR : ~(left_apart_point(A39_2361_9, L40_2361_9) | left_apart_point(A39_2361_9, reverse_line(L40_2361_9)))
% 293.42/42.92 -> [26579] ~left_apart_point(A39_2361_9, L40_2361_9), ~left_apart_point(A39_2361_9, reverse_line(L40_2361_9))
% 293.42/42.92
% 293.42/42.92 [26579] CLOSURE : ~left_apart_point(A39_2361_9, L40_2361_9)
% 293.42/42.92
% 293.42/42.92 [26572] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [26580] ~(left_apart_point(A39_2362_9, L40_2362_9) | left_apart_point(A39_2362_9, reverse_line(L40_2362_9)))
% 293.42/42.92
% 293.42/42.92 [26580] ALPHA_NOT_OR : ~(left_apart_point(A39_2362_9, L40_2362_9) | left_apart_point(A39_2362_9, reverse_line(L40_2362_9)))
% 293.42/42.92 -> [26581] ~left_apart_point(A39_2362_9, L40_2362_9), ~left_apart_point(A39_2362_9, reverse_line(L40_2362_9))
% 293.42/42.92
% 293.42/42.92 [26581] CLOSURE : ~left_apart_point(A39_2362_9, L40_2362_9)
% 293.42/42.92
% 293.42/42.92 [26570] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [26574] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92 -> [26575] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [26575] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [26574] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92
% 293.42/42.92 [228] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.92 -> [246] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.42/42.92 -> [247] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [247] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.92 -> [308] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))
% 293.42/42.92 -> [309] ~~(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)))
% 293.42/42.92
% 293.42/42.92 [308] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.92 -> [1122] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.92
% 293.42/42.92 [1122] 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))))
% 293.42/42.92 -> [2540] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.92
% 293.42/42.92 [2540] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.92 -> [2543] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.92 -> [2544] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.92
% 293.42/42.92 [2543] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.92
% 293.42/42.92 [2544] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.92 -> [6309] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.92 -> [6310] distinct_points(skolem_A8080, skolem_B8181)
% 293.42/42.92
% 293.42/42.92 [6309] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.92
% 293.42/42.92 [6310] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.92 -> [7924] ~distinct_lines(N27_260_3, N27_260_3)
% 293.42/42.92
% 293.42/42.92 [7924] 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))))
% 293.42/42.92 -> [8515] (distinct_lines(N27_260_3, N27_260_3) => (distinct_lines(N27_260_3, N27_260_3) | distinct_lines(N27_260_3, N27_260_3)))
% 293.42/42.92
% 293.42/42.92 [8515] BETA_IMPLY : (distinct_lines(N27_260_3, N27_260_3) => (distinct_lines(N27_260_3, N27_260_3) | distinct_lines(N27_260_3, N27_260_3)))
% 293.42/42.92 -> [8516] ~distinct_lines(N27_260_3, N27_260_3)
% 293.42/42.92 -> [8517] (distinct_lines(N27_260_3, N27_260_3) | distinct_lines(N27_260_3, N27_260_3))
% 293.42/42.92
% 293.42/42.92 [8517] BETA_OR : (distinct_lines(N27_260_3, N27_260_3) | distinct_lines(N27_260_3, N27_260_3))
% 293.42/42.92 -> [8519] distinct_lines(N27_260_3, N27_260_3)
% 293.42/42.92 -> [8520] distinct_lines(N27_260_3, N27_260_3)
% 293.42/42.92
% 293.42/42.92 [8519] CLOSURE : distinct_lines(N27_260_3, N27_260_3)
% 293.42/42.92
% 293.42/42.92 [8520] CLOSURE : distinct_lines(N27_260_3, N27_260_3)
% 293.42/42.92
% 293.42/42.92 [8516] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.92 -> [8641] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [8641] 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))))
% 293.42/42.92 -> [8771] (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)))
% 293.42/42.92
% 293.42/42.92 [8771] 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)))
% 293.42/42.92 -> [8773] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92 -> [8774] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [8773] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [8774] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.92 -> [13186] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92 -> [13187] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [13186] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [13187] 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))))))
% 293.42/42.92 -> [13630] ((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)))))
% 293.42/42.92
% 293.42/42.92 [13630] 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)))))
% 293.42/42.92 -> [13631] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [13632] ((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))))
% 293.42/42.92
% 293.42/42.92 [13631] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [13639] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92 -> [13640] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [13639] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92
% 293.42/42.92 [13640] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [13632] 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))))
% 293.42/42.92 -> [13922] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [13923] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.92
% 293.42/42.92 [13922] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [13934] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [13934] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [13923] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [13929] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [13929] 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)))))
% 293.42/42.92 -> [13946] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.92
% 293.42/42.92 [13946] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.92 -> [13947] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.92 -> [13948] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.92
% 293.42/42.92 [13947] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.92 -> [13955] ~line(skolem_M7878)
% 293.42/42.92 -> [13956] ~line(skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [13956] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [13986] ((unequally_directed_lines(skolem_N7979, M38_365_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_365_8))) => (left_convergent_lines(skolem_N7979, M38_365_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_365_8))))
% 293.42/42.92
% 293.42/42.92 [13986] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_365_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_365_8))) => (left_convergent_lines(skolem_N7979, M38_365_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_365_8))))
% 293.42/42.92 -> [13988] ~(unequally_directed_lines(skolem_N7979, M38_365_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_365_8)))
% 293.42/42.92 -> [13989] (left_convergent_lines(skolem_N7979, M38_365_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_365_8)))
% 293.42/42.92
% 293.42/42.92 [13989] BETA_OR : (left_convergent_lines(skolem_N7979, M38_365_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_365_8)))
% 293.42/42.92 -> [13990] left_convergent_lines(skolem_N7979, M38_365_8)
% 293.42/42.92 -> [13991] left_convergent_lines(skolem_N7979, reverse_line(M38_365_8))
% 293.42/42.92
% 293.42/42.92 [13991] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [14100] ~(left_apart_point(A39_702_9, L40_702_9) | left_apart_point(A39_702_9, reverse_line(L40_702_9)))
% 293.42/42.92
% 293.42/42.92 [14100] ALPHA_NOT_OR : ~(left_apart_point(A39_702_9, L40_702_9) | left_apart_point(A39_702_9, reverse_line(L40_702_9)))
% 293.42/42.92 -> [14102] ~left_apart_point(A39_702_9, L40_702_9), ~left_apart_point(A39_702_9, reverse_line(L40_702_9))
% 293.42/42.92
% 293.42/42.92 [14102] CLOSURE : ~left_apart_point(A39_702_9, L40_702_9)
% 293.42/42.92
% 293.42/42.92 [13990] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [14148] ~(left_apart_point(A39_708_9, L40_708_9) | left_apart_point(A39_708_9, reverse_line(L40_708_9)))
% 293.42/42.92
% 293.42/42.92 [14148] ALPHA_NOT_OR : ~(left_apart_point(A39_708_9, L40_708_9) | left_apart_point(A39_708_9, reverse_line(L40_708_9)))
% 293.42/42.92 -> [14149] ~left_apart_point(A39_708_9, L40_708_9), ~left_apart_point(A39_708_9, reverse_line(L40_708_9))
% 293.42/42.92
% 293.42/42.92 [14149] CLOSURE : ~left_apart_point(A39_708_9, L40_708_9)
% 293.42/42.92
% 293.42/42.92 [13988] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_365_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_365_8)))
% 293.42/42.92 -> [14039] ~unequally_directed_lines(skolem_N7979, M38_365_8)
% 293.42/42.92 -> [14040] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_365_8))
% 293.42/42.92
% 293.42/42.92 [14040] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_365_8))
% 293.42/42.92
% 293.42/42.92 [14039] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_365_8)
% 293.42/42.92
% 293.42/42.92 [13955] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [14029] ((unequally_directed_lines(skolem_N7979, M38_370_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_370_8))) => (left_convergent_lines(skolem_N7979, M38_370_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_370_8))))
% 293.42/42.92
% 293.42/42.92 [14029] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_370_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_370_8))) => (left_convergent_lines(skolem_N7979, M38_370_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_370_8))))
% 293.42/42.92 -> [14031] ~(unequally_directed_lines(skolem_N7979, M38_370_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_370_8)))
% 293.42/42.92 -> [14032] (left_convergent_lines(skolem_N7979, M38_370_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_370_8)))
% 293.42/42.92
% 293.42/42.92 [14032] BETA_OR : (left_convergent_lines(skolem_N7979, M38_370_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_370_8)))
% 293.42/42.92 -> [14034] left_convergent_lines(skolem_N7979, M38_370_8)
% 293.42/42.92 -> [14035] left_convergent_lines(skolem_N7979, reverse_line(M38_370_8))
% 293.42/42.92
% 293.42/42.92 [14035] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [14136] ~(left_apart_point(A39_706_9, L40_706_9) | left_apart_point(A39_706_9, reverse_line(L40_706_9)))
% 293.42/42.92
% 293.42/42.92 [14136] ALPHA_NOT_OR : ~(left_apart_point(A39_706_9, L40_706_9) | left_apart_point(A39_706_9, reverse_line(L40_706_9)))
% 293.42/42.92 -> [14137] ~left_apart_point(A39_706_9, L40_706_9), ~left_apart_point(A39_706_9, reverse_line(L40_706_9))
% 293.42/42.92
% 293.42/42.92 [14137] CLOSURE : ~left_apart_point(A39_706_9, L40_706_9)
% 293.42/42.92
% 293.42/42.92 [14034] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [14184] ~(left_apart_point(A39_714_9, L40_714_9) | left_apart_point(A39_714_9, reverse_line(L40_714_9)))
% 293.42/42.92
% 293.42/42.92 [14184] ALPHA_NOT_OR : ~(left_apart_point(A39_714_9, L40_714_9) | left_apart_point(A39_714_9, reverse_line(L40_714_9)))
% 293.42/42.92 -> [14185] ~left_apart_point(A39_714_9, L40_714_9), ~left_apart_point(A39_714_9, reverse_line(L40_714_9))
% 293.42/42.92
% 293.42/42.92 [14185] CLOSURE : ~left_apart_point(A39_714_9, L40_714_9)
% 293.42/42.92
% 293.42/42.92 [14031] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_370_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_370_8)))
% 293.42/42.92 -> [14062] ~unequally_directed_lines(skolem_N7979, M38_370_8)
% 293.42/42.92 -> [14063] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_370_8))
% 293.42/42.92
% 293.42/42.92 [14063] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_370_8))
% 293.42/42.92
% 293.42/42.92 [14062] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_370_8)
% 293.42/42.92
% 293.42/42.92 [13948] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [13949] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92 -> [13950] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [13949] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [13950] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [13992] ((unequally_directed_lines(skolem_N7979, M38_366_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_366_8))) => (left_convergent_lines(skolem_N7979, M38_366_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_366_8))))
% 293.42/42.92
% 293.42/42.92 [13992] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_366_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_366_8))) => (left_convergent_lines(skolem_N7979, M38_366_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_366_8))))
% 293.42/42.92 -> [13994] ~(unequally_directed_lines(skolem_N7979, M38_366_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_366_8)))
% 293.42/42.92 -> [13995] (left_convergent_lines(skolem_N7979, M38_366_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_366_8)))
% 293.42/42.92
% 293.42/42.92 [13995] BETA_OR : (left_convergent_lines(skolem_N7979, M38_366_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_366_8)))
% 293.42/42.92 -> [14000] left_convergent_lines(skolem_N7979, M38_366_8)
% 293.42/42.92 -> [14001] left_convergent_lines(skolem_N7979, reverse_line(M38_366_8))
% 293.42/42.92
% 293.42/42.92 [14001] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [14108] ~(left_apart_point(A39_704_9, L40_704_9) | left_apart_point(A39_704_9, reverse_line(L40_704_9)))
% 293.42/42.92
% 293.42/42.92 [14108] ALPHA_NOT_OR : ~(left_apart_point(A39_704_9, L40_704_9) | left_apart_point(A39_704_9, reverse_line(L40_704_9)))
% 293.42/42.92 -> [14111] ~left_apart_point(A39_704_9, L40_704_9), ~left_apart_point(A39_704_9, reverse_line(L40_704_9))
% 293.42/42.92
% 293.42/42.92 [14111] CLOSURE : ~left_apart_point(A39_704_9, L40_704_9)
% 293.42/42.92
% 293.42/42.92 [14000] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [14158] ~(left_apart_point(A39_709_9, L40_709_9) | left_apart_point(A39_709_9, reverse_line(L40_709_9)))
% 293.42/42.92
% 293.42/42.92 [14158] ALPHA_NOT_OR : ~(left_apart_point(A39_709_9, L40_709_9) | left_apart_point(A39_709_9, reverse_line(L40_709_9)))
% 293.42/42.92 -> [14161] ~left_apart_point(A39_709_9, L40_709_9), ~left_apart_point(A39_709_9, reverse_line(L40_709_9))
% 293.42/42.92
% 293.42/42.92 [14161] CLOSURE : ~left_apart_point(A39_709_9, L40_709_9)
% 293.42/42.92
% 293.42/42.92 [13994] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_366_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_366_8)))
% 293.42/42.92 -> [14048] ~unequally_directed_lines(skolem_N7979, M38_366_8)
% 293.42/42.92 -> [14049] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_366_8))
% 293.42/42.92
% 293.42/42.92 [14049] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_366_8))
% 293.42/42.92
% 293.42/42.92 [14048] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_366_8)
% 293.42/42.92
% 293.42/42.92 [309] 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)))
% 293.42/42.92 -> [349] (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)))
% 293.42/42.92
% 293.42/42.92 [349] 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)))
% 293.42/42.92 -> [353] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 293.42/42.92 -> [354] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [354] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.92 -> [725] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.92
% 293.42/42.92 [725] 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))))
% 293.42/42.92 -> [1092] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.92
% 293.42/42.92 [1092] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.92 -> [1101] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.92 -> [1102] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.92
% 293.42/42.92 [1101] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.92
% 293.42/42.92 [1102] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.92 -> [5394] distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.92 -> [5395] distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.92
% 293.42/42.92 [5395] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.92
% 293.42/42.92 [5394] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.92 -> [5710] ~distinct_lines(N27_165_3, N27_165_3)
% 293.42/42.92
% 293.42/42.92 [5710] 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))))
% 293.42/42.92 -> [5730] (distinct_lines(N27_165_3, N27_165_3) => (distinct_lines(N27_165_3, N27_165_3) | distinct_lines(N27_165_3, N27_165_3)))
% 293.42/42.92
% 293.42/42.92 [5730] BETA_IMPLY : (distinct_lines(N27_165_3, N27_165_3) => (distinct_lines(N27_165_3, N27_165_3) | distinct_lines(N27_165_3, N27_165_3)))
% 293.42/42.92 -> [5733] ~distinct_lines(N27_165_3, N27_165_3)
% 293.42/42.92 -> [5734] (distinct_lines(N27_165_3, N27_165_3) | distinct_lines(N27_165_3, N27_165_3))
% 293.42/42.92
% 293.42/42.92 [5734] BETA_OR : (distinct_lines(N27_165_3, N27_165_3) | distinct_lines(N27_165_3, N27_165_3))
% 293.42/42.92 -> [5735] distinct_lines(N27_165_3, N27_165_3)
% 293.42/42.92 -> [5736] distinct_lines(N27_165_3, N27_165_3)
% 293.42/42.92
% 293.42/42.92 [5736] CLOSURE : distinct_lines(N27_165_3, N27_165_3)
% 293.42/42.92
% 293.42/42.92 [5735] CLOSURE : distinct_lines(N27_165_3, N27_165_3)
% 293.42/42.92
% 293.42/42.92 [5733] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.92 -> [5778] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [5778] 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))))
% 293.42/42.92 -> [5836] (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))))
% 293.42/42.92
% 293.42/42.92 [5836] 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))))
% 293.42/42.92 -> [5837] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92 -> [5838] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.92
% 293.42/42.92 [5837] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [5838] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.92 -> [8370] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92 -> [8371] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [8371] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [8370] 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))))))
% 293.42/42.92 -> [11972] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_166_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_166_6))) | (unequally_directed_lines(skolem_N7979, N34_166_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_166_6)))))
% 293.42/42.92
% 293.42/42.92 [11972] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_166_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_166_6))) | (unequally_directed_lines(skolem_N7979, N34_166_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_166_6)))))
% 293.42/42.92 -> [11974] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [11975] ((unequally_directed_lines(skolem_M7878, N34_166_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_166_6))) | (unequally_directed_lines(skolem_N7979, N34_166_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_166_6))))
% 293.42/42.92
% 293.42/42.92 [11974] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [12061] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92 -> [12062] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [12062] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [12061] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92
% 293.42/42.92 [11975] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_166_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_166_6))) | (unequally_directed_lines(skolem_N7979, N34_166_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_166_6))))
% 293.42/42.92 -> [15400] (unequally_directed_lines(skolem_M7878, N34_166_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_166_6)))
% 293.42/42.92 -> [15401] (unequally_directed_lines(skolem_N7979, N34_166_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_166_6)))
% 293.42/42.92
% 293.42/42.92 [15401] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_166_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_166_6)))
% 293.42/42.92 -> [15410] unequally_directed_lines(skolem_N7979, N34_166_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_166_6))
% 293.42/42.92
% 293.42/42.92 [15410] 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)))))
% 293.42/42.92 -> [15436] ((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))))
% 293.42/42.92
% 293.42/42.92 [15436] 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))))
% 293.42/42.92 -> [15440] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.92 -> [15441] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.92
% 293.42/42.92 [15440] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.92 -> [15482] ~line(reverse_line(skolem_N7979))
% 293.42/42.92 -> [15483] ~line(skolem_N7979)
% 293.42/42.92
% 293.42/42.92 [15483] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [15522] ((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))))
% 293.42/42.92
% 293.42/42.92 [15522] 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))))
% 293.42/42.92 -> [15525] ~(unequally_directed_lines(skolem_N7979, M38_459_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_459_8)))
% 293.42/42.92 -> [15526] (left_convergent_lines(skolem_N7979, M38_459_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_459_8)))
% 293.42/42.92
% 293.42/42.92 [15525] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_459_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_459_8)))
% 293.42/42.92 -> [15579] ~unequally_directed_lines(skolem_N7979, M38_459_8)
% 293.42/42.92 -> [15580] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_459_8))
% 293.42/42.92
% 293.42/42.92 [15580] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_459_8))
% 293.42/42.92
% 293.42/42.92 [15579] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_459_8)
% 293.42/42.92
% 293.42/42.92 [15526] BETA_OR : (left_convergent_lines(skolem_N7979, M38_459_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_459_8)))
% 293.42/42.92 -> [15530] left_convergent_lines(skolem_N7979, M38_459_8)
% 293.42/42.92 -> [15531] left_convergent_lines(skolem_N7979, reverse_line(M38_459_8))
% 293.42/42.92
% 293.42/42.92 [15531] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [15668] ~(left_apart_point(A39_899_9, L40_899_9) | left_apart_point(A39_899_9, reverse_line(L40_899_9)))
% 293.42/42.92
% 293.42/42.92 [15668] ALPHA_NOT_OR : ~(left_apart_point(A39_899_9, L40_899_9) | left_apart_point(A39_899_9, reverse_line(L40_899_9)))
% 293.42/42.92 -> [15671] ~left_apart_point(A39_899_9, L40_899_9), ~left_apart_point(A39_899_9, reverse_line(L40_899_9))
% 293.42/42.92
% 293.42/42.92 [15671] CLOSURE : ~left_apart_point(A39_899_9, L40_899_9)
% 293.42/42.92
% 293.42/42.92 [15530] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [15705] ~(left_apart_point(A39_902_9, L40_902_9) | left_apart_point(A39_902_9, reverse_line(L40_902_9)))
% 293.42/42.92
% 293.42/42.92 [15705] ALPHA_NOT_OR : ~(left_apart_point(A39_902_9, L40_902_9) | left_apart_point(A39_902_9, reverse_line(L40_902_9)))
% 293.42/42.92 -> [15708] ~left_apart_point(A39_902_9, L40_902_9), ~left_apart_point(A39_902_9, reverse_line(L40_902_9))
% 293.42/42.92
% 293.42/42.92 [15708] CLOSURE : ~left_apart_point(A39_902_9, L40_902_9)
% 293.42/42.92
% 293.42/42.92 [15482] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [15560] ((unequally_directed_lines(skolem_N7979, M38_461_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_461_8))) => (left_convergent_lines(skolem_N7979, M38_461_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_461_8))))
% 293.42/42.92
% 293.42/42.92 [15560] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_461_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_461_8))) => (left_convergent_lines(skolem_N7979, M38_461_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_461_8))))
% 293.42/42.92 -> [15563] ~(unequally_directed_lines(skolem_N7979, M38_461_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_461_8)))
% 293.42/42.92 -> [15564] (left_convergent_lines(skolem_N7979, M38_461_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_461_8)))
% 293.42/42.92
% 293.42/42.92 [15563] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_461_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_461_8)))
% 293.42/42.92 -> [15616] ~unequally_directed_lines(skolem_N7979, M38_461_8)
% 293.42/42.92 -> [15617] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_461_8))
% 293.42/42.92
% 293.42/42.92 [15617] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_461_8))
% 293.42/42.92
% 293.42/42.92 [15616] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_461_8)
% 293.42/42.92
% 293.42/42.92 [15564] BETA_OR : (left_convergent_lines(skolem_N7979, M38_461_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_461_8)))
% 293.42/42.92 -> [15572] left_convergent_lines(skolem_N7979, M38_461_8)
% 293.42/42.92 -> [15573] left_convergent_lines(skolem_N7979, reverse_line(M38_461_8))
% 293.42/42.92
% 293.42/42.92 [15573] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [15701] ~(left_apart_point(A39_901_9, L40_901_9) | left_apart_point(A39_901_9, reverse_line(L40_901_9)))
% 293.42/42.92
% 293.42/42.92 [15701] ALPHA_NOT_OR : ~(left_apart_point(A39_901_9, L40_901_9) | left_apart_point(A39_901_9, reverse_line(L40_901_9)))
% 293.42/42.92 -> [15702] ~left_apart_point(A39_901_9, L40_901_9), ~left_apart_point(A39_901_9, reverse_line(L40_901_9))
% 293.42/42.92
% 293.42/42.92 [15702] CLOSURE : ~left_apart_point(A39_901_9, L40_901_9)
% 293.42/42.92
% 293.42/42.92 [15572] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [15727] ~(left_apart_point(A39_905_9, L40_905_9) | left_apart_point(A39_905_9, reverse_line(L40_905_9)))
% 293.42/42.92
% 293.42/42.92 [15727] ALPHA_NOT_OR : ~(left_apart_point(A39_905_9, L40_905_9) | left_apart_point(A39_905_9, reverse_line(L40_905_9)))
% 293.42/42.92 -> [15729] ~left_apart_point(A39_905_9, L40_905_9), ~left_apart_point(A39_905_9, reverse_line(L40_905_9))
% 293.42/42.92
% 293.42/42.92 [15729] CLOSURE : ~left_apart_point(A39_905_9, L40_905_9)
% 293.42/42.92
% 293.42/42.92 [15441] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.92 -> [15447] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 293.42/42.92 -> [15448] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [15448] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [15447] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [15792] ((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))))
% 293.42/42.92
% 293.42/42.92 [15792] 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))))
% 293.42/42.92 -> [15797] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [15798] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92
% 293.42/42.92 [15797] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [15814] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92 -> [15815] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [15815] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [15814] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92
% 293.42/42.92 [15798] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [15805] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92 -> [15806] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [15806] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [15840] ~(left_apart_point(A39_913_9, L40_913_9) | left_apart_point(A39_913_9, reverse_line(L40_913_9)))
% 293.42/42.92
% 293.42/42.92 [15840] ALPHA_NOT_OR : ~(left_apart_point(A39_913_9, L40_913_9) | left_apart_point(A39_913_9, reverse_line(L40_913_9)))
% 293.42/42.92 -> [15843] ~left_apart_point(A39_913_9, L40_913_9), ~left_apart_point(A39_913_9, reverse_line(L40_913_9))
% 293.42/42.92
% 293.42/42.92 [15843] CLOSURE : ~left_apart_point(A39_913_9, L40_913_9)
% 293.42/42.92
% 293.42/42.92 [15805] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [15849] ~(left_apart_point(A39_915_9, L40_915_9) | left_apart_point(A39_915_9, reverse_line(L40_915_9)))
% 293.42/42.92
% 293.42/42.92 [15849] ALPHA_NOT_OR : ~(left_apart_point(A39_915_9, L40_915_9) | left_apart_point(A39_915_9, reverse_line(L40_915_9)))
% 293.42/42.92 -> [15853] ~left_apart_point(A39_915_9, L40_915_9), ~left_apart_point(A39_915_9, reverse_line(L40_915_9))
% 293.42/42.92
% 293.42/42.92 [15853] CLOSURE : ~left_apart_point(A39_915_9, L40_915_9)
% 293.42/42.92
% 293.42/42.92 [15400] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_166_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_166_6)))
% 293.42/42.92 -> [15415] unequally_directed_lines(skolem_M7878, N34_166_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_166_6))
% 293.42/42.92
% 293.42/42.92 [15415] 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)))))
% 293.42/42.92 -> [15457] ((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)))))
% 293.42/42.92
% 293.42/42.92 [15457] 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)))))
% 293.42/42.92 -> [15461] ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.92 -> [15462] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))
% 293.42/42.92
% 293.42/42.92 [15461] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.92 -> [15490] ~line(skolem_L7777)
% 293.42/42.92 -> [15491] ~line(line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.92
% 293.42/42.92 [15491] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [15539] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.92
% 293.42/42.92 [15539] 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))))
% 293.42/42.92 -> [15543] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [15544] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92
% 293.42/42.92 [15543] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [15604] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.92 -> [15605] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [15605] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [15604] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [15544] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [15545] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.92 -> [15546] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [15546] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [15689] ~(left_apart_point(A39_900_9, L40_900_9) | left_apart_point(A39_900_9, reverse_line(L40_900_9)))
% 293.42/42.92
% 293.42/42.92 [15689] ALPHA_NOT_OR : ~(left_apart_point(A39_900_9, L40_900_9) | left_apart_point(A39_900_9, reverse_line(L40_900_9)))
% 293.42/42.92 -> [15692] ~left_apart_point(A39_900_9, L40_900_9), ~left_apart_point(A39_900_9, reverse_line(L40_900_9))
% 293.42/42.92
% 293.42/42.92 [15692] CLOSURE : ~left_apart_point(A39_900_9, L40_900_9)
% 293.42/42.92
% 293.42/42.92 [15545] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [15715] ~(left_apart_point(A39_904_9, L40_904_9) | left_apart_point(A39_904_9, reverse_line(L40_904_9)))
% 293.42/42.92
% 293.42/42.92 [15715] ALPHA_NOT_OR : ~(left_apart_point(A39_904_9, L40_904_9) | left_apart_point(A39_904_9, reverse_line(L40_904_9)))
% 293.42/42.92 -> [15717] ~left_apart_point(A39_904_9, L40_904_9), ~left_apart_point(A39_904_9, reverse_line(L40_904_9))
% 293.42/42.92
% 293.42/42.92 [15717] CLOSURE : ~left_apart_point(A39_904_9, L40_904_9)
% 293.42/42.92
% 293.42/42.92 [15490] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [15598] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.92
% 293.42/42.92 [15598] 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))))
% 293.42/42.92 -> [15599] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [15600] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92
% 293.42/42.92 [15599] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [15624] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.92 -> [15625] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [15625] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [15624] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [15600] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [15601] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.92 -> [15602] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [15602] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [15710] ~(left_apart_point(A39_903_9, L40_903_9) | left_apart_point(A39_903_9, reverse_line(L40_903_9)))
% 293.42/42.92
% 293.42/42.92 [15710] ALPHA_NOT_OR : ~(left_apart_point(A39_903_9, L40_903_9) | left_apart_point(A39_903_9, reverse_line(L40_903_9)))
% 293.42/42.92 -> [15711] ~left_apart_point(A39_903_9, L40_903_9), ~left_apart_point(A39_903_9, reverse_line(L40_903_9))
% 293.42/42.92
% 293.42/42.92 [15711] CLOSURE : ~left_apart_point(A39_903_9, L40_903_9)
% 293.42/42.92
% 293.42/42.92 [15601] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [15743] ~(left_apart_point(A39_907_9, L40_907_9) | left_apart_point(A39_907_9, reverse_line(L40_907_9)))
% 293.42/42.92
% 293.42/42.92 [15743] ALPHA_NOT_OR : ~(left_apart_point(A39_907_9, L40_907_9) | left_apart_point(A39_907_9, reverse_line(L40_907_9)))
% 293.42/42.92 -> [15744] ~left_apart_point(A39_907_9, L40_907_9), ~left_apart_point(A39_907_9, reverse_line(L40_907_9))
% 293.42/42.92
% 293.42/42.92 [15744] CLOSURE : ~left_apart_point(A39_907_9, L40_907_9)
% 293.42/42.92
% 293.42/42.92 [15462] 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))))
% 293.42/42.92 -> [15474] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.92 -> [15475] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))
% 293.42/42.92
% 293.42/42.92 [15474] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 293.42/42.92
% 293.42/42.92 [15475] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [15788] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.92
% 293.42/42.92 [15788] 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))))
% 293.42/42.92 -> [15793] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [15794] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92
% 293.42/42.92 [15793] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [15812] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.92 -> [15813] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [15813] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [15812] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [15794] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [15801] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.92 -> [15802] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [15802] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [15842] ~(left_apart_point(A39_914_9, L40_914_9) | left_apart_point(A39_914_9, reverse_line(L40_914_9)))
% 293.42/42.92
% 293.42/42.92 [15842] ALPHA_NOT_OR : ~(left_apart_point(A39_914_9, L40_914_9) | left_apart_point(A39_914_9, reverse_line(L40_914_9)))
% 293.42/42.92 -> [15846] ~left_apart_point(A39_914_9, L40_914_9), ~left_apart_point(A39_914_9, reverse_line(L40_914_9))
% 293.42/42.92
% 293.42/42.92 [15846] CLOSURE : ~left_apart_point(A39_914_9, L40_914_9)
% 293.42/42.92
% 293.42/42.92 [15801] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [15856] ~(left_apart_point(A39_916_9, L40_916_9) | left_apart_point(A39_916_9, reverse_line(L40_916_9)))
% 293.42/42.92
% 293.42/42.92 [15856] ALPHA_NOT_OR : ~(left_apart_point(A39_916_9, L40_916_9) | left_apart_point(A39_916_9, reverse_line(L40_916_9)))
% 293.42/42.92 -> [15857] ~left_apart_point(A39_916_9, L40_916_9), ~left_apart_point(A39_916_9, reverse_line(L40_916_9))
% 293.42/42.92
% 293.42/42.92 [15857] CLOSURE : ~left_apart_point(A39_916_9, L40_916_9)
% 293.42/42.92
% 293.42/42.92 [353] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.92 -> [606] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.92
% 293.42/42.92 [606] 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))))
% 293.42/42.92 -> [1768] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.92
% 293.42/42.92 [1768] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.92 -> [1769] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.92 -> [1770] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.92
% 293.42/42.92 [1769] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.92
% 293.42/42.92 [1770] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.92 -> [3655] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.92 -> [3656] distinct_points(skolem_A8080, skolem_B8181)
% 293.42/42.92
% 293.42/42.92 [3655] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.92
% 293.42/42.92 [3656] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.92 -> [6096] ~distinct_lines(N27_198_3, N27_198_3)
% 293.42/42.92
% 293.42/42.92 [6096] 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))))
% 293.42/42.92 -> [6285] (distinct_lines(N27_198_3, N27_198_3) => (distinct_lines(N27_198_3, N27_198_3) | distinct_lines(N27_198_3, N27_198_3)))
% 293.42/42.92
% 293.42/42.92 [6285] BETA_IMPLY : (distinct_lines(N27_198_3, N27_198_3) => (distinct_lines(N27_198_3, N27_198_3) | distinct_lines(N27_198_3, N27_198_3)))
% 293.42/42.92 -> [6286] ~distinct_lines(N27_198_3, N27_198_3)
% 293.42/42.92 -> [6287] (distinct_lines(N27_198_3, N27_198_3) | distinct_lines(N27_198_3, N27_198_3))
% 293.42/42.92
% 293.42/42.92 [6287] BETA_OR : (distinct_lines(N27_198_3, N27_198_3) | distinct_lines(N27_198_3, N27_198_3))
% 293.42/42.92 -> [6288] distinct_lines(N27_198_3, N27_198_3)
% 293.42/42.92 -> [6289] distinct_lines(N27_198_3, N27_198_3)
% 293.42/42.92
% 293.42/42.92 [6288] CLOSURE : distinct_lines(N27_198_3, N27_198_3)
% 293.42/42.92
% 293.42/42.92 [6289] CLOSURE : distinct_lines(N27_198_3, N27_198_3)
% 293.42/42.92
% 293.42/42.92 [6286] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.92 -> [6445] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [6445] 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))))
% 293.42/42.92 -> [6704] (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)))
% 293.42/42.92
% 293.42/42.92 [6704] 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)))
% 293.42/42.92 -> [6707] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92 -> [6708] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [6707] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [6708] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.92 -> [10138] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92 -> [10139] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [10138] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [10139] 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))))))
% 293.42/42.92 -> [11470] ((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)))))
% 293.42/42.92
% 293.42/42.92 [11470] 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)))))
% 293.42/42.92 -> [11479] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [11480] ((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))))
% 293.42/42.92
% 293.42/42.92 [11479] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [12063] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92 -> [12064] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [12064] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [12063] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92
% 293.42/42.92 [11480] 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))))
% 293.42/42.92 -> [23247] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [23248] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.92
% 293.42/42.92 [23248] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [23254] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [23254] 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)))))
% 293.42/42.92 -> [23540] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.92
% 293.42/42.92 [23540] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.92 -> [23543] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.92 -> [23544] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.92
% 293.42/42.92 [23543] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.92 -> [23553] ~line(skolem_M7878)
% 293.42/42.92 -> [23554] ~line(skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [23553] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [23615] ((unequally_directed_lines(skolem_N7979, M38_975_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_975_8))) => (left_convergent_lines(skolem_N7979, M38_975_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_975_8))))
% 293.42/42.92
% 293.42/42.92 [23615] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_975_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_975_8))) => (left_convergent_lines(skolem_N7979, M38_975_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_975_8))))
% 293.42/42.92 -> [23620] ~(unequally_directed_lines(skolem_N7979, M38_975_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_975_8)))
% 293.42/42.92 -> [23621] (left_convergent_lines(skolem_N7979, M38_975_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_975_8)))
% 293.42/42.92
% 293.42/42.92 [23620] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_975_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_975_8)))
% 293.42/42.92 -> [23654] ~unequally_directed_lines(skolem_N7979, M38_975_8)
% 293.42/42.92 -> [23655] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_975_8))
% 293.42/42.92
% 293.42/42.92 [23655] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_975_8))
% 293.42/42.92
% 293.42/42.92 [23654] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_975_8)
% 293.42/42.92
% 293.42/42.92 [23621] BETA_OR : (left_convergent_lines(skolem_N7979, M38_975_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_975_8)))
% 293.42/42.92 -> [23626] left_convergent_lines(skolem_N7979, M38_975_8)
% 293.42/42.92 -> [23627] left_convergent_lines(skolem_N7979, reverse_line(M38_975_8))
% 293.42/42.92
% 293.42/42.92 [23627] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [23723] ~(left_apart_point(A39_1913_9, L40_1913_9) | left_apart_point(A39_1913_9, reverse_line(L40_1913_9)))
% 293.42/42.92
% 293.42/42.92 [23723] ALPHA_NOT_OR : ~(left_apart_point(A39_1913_9, L40_1913_9) | left_apart_point(A39_1913_9, reverse_line(L40_1913_9)))
% 293.42/42.92 -> [23728] ~left_apart_point(A39_1913_9, L40_1913_9), ~left_apart_point(A39_1913_9, reverse_line(L40_1913_9))
% 293.42/42.92
% 293.42/42.92 [23728] CLOSURE : ~left_apart_point(A39_1913_9, L40_1913_9)
% 293.42/42.92
% 293.42/42.92 [23626] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [23751] ~(left_apart_point(A39_1915_9, L40_1915_9) | left_apart_point(A39_1915_9, reverse_line(L40_1915_9)))
% 293.42/42.92
% 293.42/42.92 [23751] ALPHA_NOT_OR : ~(left_apart_point(A39_1915_9, L40_1915_9) | left_apart_point(A39_1915_9, reverse_line(L40_1915_9)))
% 293.42/42.92 -> [23754] ~left_apart_point(A39_1915_9, L40_1915_9), ~left_apart_point(A39_1915_9, reverse_line(L40_1915_9))
% 293.42/42.92
% 293.42/42.92 [23754] CLOSURE : ~left_apart_point(A39_1915_9, L40_1915_9)
% 293.42/42.92
% 293.42/42.92 [23554] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [23595] ((unequally_directed_lines(skolem_N7979, M38_973_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_973_8))) => (left_convergent_lines(skolem_N7979, M38_973_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_973_8))))
% 293.42/42.92
% 293.42/42.92 [23595] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_973_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_973_8))) => (left_convergent_lines(skolem_N7979, M38_973_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_973_8))))
% 293.42/42.92 -> [23598] ~(unequally_directed_lines(skolem_N7979, M38_973_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_973_8)))
% 293.42/42.92 -> [23599] (left_convergent_lines(skolem_N7979, M38_973_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_973_8)))
% 293.42/42.92
% 293.42/42.92 [23598] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_973_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_973_8)))
% 293.42/42.92 -> [23630] ~unequally_directed_lines(skolem_N7979, M38_973_8)
% 293.42/42.92 -> [23631] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_973_8))
% 293.42/42.92
% 293.42/42.92 [23631] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_973_8))
% 293.42/42.92
% 293.42/42.92 [23630] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_973_8)
% 293.42/42.92
% 293.42/42.92 [23599] BETA_OR : (left_convergent_lines(skolem_N7979, M38_973_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_973_8)))
% 293.42/42.92 -> [23602] left_convergent_lines(skolem_N7979, M38_973_8)
% 293.42/42.92 -> [23603] left_convergent_lines(skolem_N7979, reverse_line(M38_973_8))
% 293.42/42.92
% 293.42/42.92 [23603] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [23705] ~(left_apart_point(A39_1911_9, L40_1911_9) | left_apart_point(A39_1911_9, reverse_line(L40_1911_9)))
% 293.42/42.92
% 293.42/42.92 [23705] ALPHA_NOT_OR : ~(left_apart_point(A39_1911_9, L40_1911_9) | left_apart_point(A39_1911_9, reverse_line(L40_1911_9)))
% 293.42/42.92 -> [23706] ~left_apart_point(A39_1911_9, L40_1911_9), ~left_apart_point(A39_1911_9, reverse_line(L40_1911_9))
% 293.42/42.92
% 293.42/42.92 [23706] CLOSURE : ~left_apart_point(A39_1911_9, L40_1911_9)
% 293.42/42.92
% 293.42/42.92 [23602] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [23758] ~(left_apart_point(A39_1916_9, L40_1916_9) | left_apart_point(A39_1916_9, reverse_line(L40_1916_9)))
% 293.42/42.92
% 293.42/42.92 [23758] ALPHA_NOT_OR : ~(left_apart_point(A39_1916_9, L40_1916_9) | left_apart_point(A39_1916_9, reverse_line(L40_1916_9)))
% 293.42/42.92 -> [23759] ~left_apart_point(A39_1916_9, L40_1916_9), ~left_apart_point(A39_1916_9, reverse_line(L40_1916_9))
% 293.42/42.92
% 293.42/42.92 [23759] CLOSURE : ~left_apart_point(A39_1916_9, L40_1916_9)
% 293.42/42.92
% 293.42/42.92 [23544] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [23549] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92 -> [23550] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [23549] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [23550] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [23635] ((unequally_directed_lines(skolem_N7979, M38_977_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_977_8))) => (left_convergent_lines(skolem_N7979, M38_977_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_977_8))))
% 293.42/42.92
% 293.42/42.92 [23635] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_977_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_977_8))) => (left_convergent_lines(skolem_N7979, M38_977_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_977_8))))
% 293.42/42.92 -> [23637] ~(unequally_directed_lines(skolem_N7979, M38_977_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_977_8)))
% 293.42/42.92 -> [23638] (left_convergent_lines(skolem_N7979, M38_977_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_977_8)))
% 293.42/42.92
% 293.42/42.92 [23638] BETA_OR : (left_convergent_lines(skolem_N7979, M38_977_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_977_8)))
% 293.42/42.92 -> [23642] left_convergent_lines(skolem_N7979, M38_977_8)
% 293.42/42.92 -> [23643] left_convergent_lines(skolem_N7979, reverse_line(M38_977_8))
% 293.42/42.92
% 293.42/42.92 [23643] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [23737] ~(left_apart_point(A39_1914_9, L40_1914_9) | left_apart_point(A39_1914_9, reverse_line(L40_1914_9)))
% 293.42/42.92
% 293.42/42.92 [23737] ALPHA_NOT_OR : ~(left_apart_point(A39_1914_9, L40_1914_9) | left_apart_point(A39_1914_9, reverse_line(L40_1914_9)))
% 293.42/42.92 -> [23738] ~left_apart_point(A39_1914_9, L40_1914_9), ~left_apart_point(A39_1914_9, reverse_line(L40_1914_9))
% 293.42/42.92
% 293.42/42.92 [23738] CLOSURE : ~left_apart_point(A39_1914_9, L40_1914_9)
% 293.42/42.92
% 293.42/42.92 [23642] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [23770] ~(left_apart_point(A39_1920_9, L40_1920_9) | left_apart_point(A39_1920_9, reverse_line(L40_1920_9)))
% 293.42/42.92
% 293.42/42.92 [23770] ALPHA_NOT_OR : ~(left_apart_point(A39_1920_9, L40_1920_9) | left_apart_point(A39_1920_9, reverse_line(L40_1920_9)))
% 293.42/42.92 -> [23772] ~left_apart_point(A39_1920_9, L40_1920_9), ~left_apart_point(A39_1920_9, reverse_line(L40_1920_9))
% 293.42/42.92
% 293.42/42.92 [23772] CLOSURE : ~left_apart_point(A39_1920_9, L40_1920_9)
% 293.42/42.92
% 293.42/42.92 [23637] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_977_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_977_8)))
% 293.42/42.92 -> [23676] ~unequally_directed_lines(skolem_N7979, M38_977_8)
% 293.42/42.92 -> [23677] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_977_8))
% 293.42/42.92
% 293.42/42.92 [23677] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_977_8))
% 293.42/42.92
% 293.42/42.92 [23676] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_977_8)
% 293.42/42.92
% 293.42/42.92 [23247] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [23286] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [23286] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [246] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.92 -> [666] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))
% 293.42/42.92 -> [667] ~~(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)))
% 293.42/42.92
% 293.42/42.92 [667] 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)))
% 293.42/42.92 -> [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)))
% 293.42/42.92
% 293.42/42.92 [675] 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)))
% 293.42/42.92 -> [678] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 293.42/42.92 -> [679] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [678] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.92 -> [1612] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.92
% 293.42/42.92 [1612] 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))))
% 293.42/42.92 -> [1737] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.92
% 293.42/42.92 [1737] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 293.42/42.92 -> [1738] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.92 -> [1739] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.92
% 293.42/42.92 [1738] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.92
% 293.42/42.92 [1739] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 293.42/42.92 -> [2011] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.92 -> [2012] distinct_points(skolem_A8080, skolem_B8181)
% 293.42/42.92
% 293.42/42.92 [2011] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.92
% 293.42/42.92 [2012] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.92 -> [2149] ~distinct_lines(N27_15_3, N27_15_3)
% 293.42/42.92
% 293.42/42.92 [2149] 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))))
% 293.42/42.92 -> [2220] (distinct_lines(N27_15_3, N27_15_3) => (distinct_lines(N27_15_3, N27_15_3) | distinct_lines(N27_15_3, N27_15_3)))
% 293.42/42.92
% 293.42/42.92 [2220] 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)))
% 293.42/42.92 -> [2221] ~distinct_lines(N27_15_3, N27_15_3)
% 293.42/42.92 -> [2222] (distinct_lines(N27_15_3, N27_15_3) | distinct_lines(N27_15_3, N27_15_3))
% 293.42/42.92
% 293.42/42.92 [2222] BETA_OR : (distinct_lines(N27_15_3, N27_15_3) | distinct_lines(N27_15_3, N27_15_3))
% 293.42/42.92 -> [2223] distinct_lines(N27_15_3, N27_15_3)
% 293.42/42.92 -> [2224] distinct_lines(N27_15_3, N27_15_3)
% 293.42/42.92
% 293.42/42.92 [2223] CLOSURE : distinct_lines(N27_15_3, N27_15_3)
% 293.42/42.92
% 293.42/42.92 [2224] CLOSURE : distinct_lines(N27_15_3, N27_15_3)
% 293.42/42.92
% 293.42/42.92 [2221] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.92 -> [2303] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [2303] 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))))
% 293.42/42.92 -> [4007] (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)))
% 293.42/42.92
% 293.42/42.92 [4007] 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)))
% 293.42/42.92 -> [4008] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92 -> [4009] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [4008] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [4009] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.92 -> [8066] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92 -> [8067] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [8066] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [8067] 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))))))
% 293.42/42.92 -> [9717] ((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)))))
% 293.42/42.92
% 293.42/42.92 [9717] 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)))))
% 293.42/42.92 -> [9720] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [9721] ((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))))
% 293.42/42.92
% 293.42/42.92 [9720] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [9783] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92 -> [9784] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [9784] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [9783] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92
% 293.42/42.92 [9721] 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))))
% 293.42/42.92 -> [18613] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [18614] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.92
% 293.42/42.92 [18613] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [18629] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [18629] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [18614] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [18619] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [18619] 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)))))
% 293.42/42.92 -> [18653] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.92
% 293.42/42.92 [18653] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.92 -> [18659] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.92 -> [18660] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.92
% 293.42/42.92 [18659] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.92 -> [18672] ~line(skolem_M7878)
% 293.42/42.92 -> [18673] ~line(skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [18672] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [18729] ((unequally_directed_lines(skolem_N7979, M38_657_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_657_8))) => (left_convergent_lines(skolem_N7979, M38_657_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_657_8))))
% 293.42/42.92
% 293.42/42.92 [18729] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_657_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_657_8))) => (left_convergent_lines(skolem_N7979, M38_657_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_657_8))))
% 293.42/42.92 -> [18735] ~(unequally_directed_lines(skolem_N7979, M38_657_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_657_8)))
% 293.42/42.92 -> [18736] (left_convergent_lines(skolem_N7979, M38_657_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_657_8)))
% 293.42/42.92
% 293.42/42.92 [18735] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_657_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_657_8)))
% 293.42/42.92 -> [18773] ~unequally_directed_lines(skolem_N7979, M38_657_8)
% 293.42/42.92 -> [18774] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_657_8))
% 293.42/42.92
% 293.42/42.92 [18774] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_657_8))
% 293.42/42.92
% 293.42/42.92 [18773] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_657_8)
% 293.42/42.92
% 293.42/42.92 [18736] BETA_OR : (left_convergent_lines(skolem_N7979, M38_657_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_657_8)))
% 293.42/42.92 -> [18741] left_convergent_lines(skolem_N7979, M38_657_8)
% 293.42/42.92 -> [18742] left_convergent_lines(skolem_N7979, reverse_line(M38_657_8))
% 293.42/42.92
% 293.42/42.92 [18742] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [18848] ~(left_apart_point(A39_1266_9, L40_1266_9) | left_apart_point(A39_1266_9, reverse_line(L40_1266_9)))
% 293.42/42.92
% 293.42/42.92 [18848] ALPHA_NOT_OR : ~(left_apart_point(A39_1266_9, L40_1266_9) | left_apart_point(A39_1266_9, reverse_line(L40_1266_9)))
% 293.42/42.92 -> [18849] ~left_apart_point(A39_1266_9, L40_1266_9), ~left_apart_point(A39_1266_9, reverse_line(L40_1266_9))
% 293.42/42.92
% 293.42/42.92 [18849] CLOSURE : ~left_apart_point(A39_1266_9, L40_1266_9)
% 293.42/42.92
% 293.42/42.92 [18741] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [18861] ~(left_apart_point(A39_1269_9, L40_1269_9) | left_apart_point(A39_1269_9, reverse_line(L40_1269_9)))
% 293.42/42.92
% 293.42/42.92 [18861] ALPHA_NOT_OR : ~(left_apart_point(A39_1269_9, L40_1269_9) | left_apart_point(A39_1269_9, reverse_line(L40_1269_9)))
% 293.42/42.92 -> [18862] ~left_apart_point(A39_1269_9, L40_1269_9), ~left_apart_point(A39_1269_9, reverse_line(L40_1269_9))
% 293.42/42.92
% 293.42/42.92 [18862] CLOSURE : ~left_apart_point(A39_1269_9, L40_1269_9)
% 293.42/42.92
% 293.42/42.92 [18673] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [18714] ((unequally_directed_lines(skolem_N7979, M38_656_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_656_8))) => (left_convergent_lines(skolem_N7979, M38_656_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_656_8))))
% 293.42/42.92
% 293.42/42.92 [18714] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_656_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_656_8))) => (left_convergent_lines(skolem_N7979, M38_656_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_656_8))))
% 293.42/42.92 -> [18719] ~(unequally_directed_lines(skolem_N7979, M38_656_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_656_8)))
% 293.42/42.92 -> [18720] (left_convergent_lines(skolem_N7979, M38_656_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_656_8)))
% 293.42/42.92
% 293.42/42.92 [18719] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_656_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_656_8)))
% 293.42/42.92 -> [18750] ~unequally_directed_lines(skolem_N7979, M38_656_8)
% 293.42/42.92 -> [18751] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_656_8))
% 293.42/42.92
% 293.42/42.92 [18750] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_656_8)
% 293.42/42.92
% 293.42/42.92 [18751] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_656_8))
% 293.42/42.92
% 293.42/42.92 [18720] BETA_OR : (left_convergent_lines(skolem_N7979, M38_656_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_656_8)))
% 293.42/42.92 -> [18725] left_convergent_lines(skolem_N7979, M38_656_8)
% 293.42/42.92 -> [18726] left_convergent_lines(skolem_N7979, reverse_line(M38_656_8))
% 293.42/42.92
% 293.42/42.92 [18725] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [18837] ~(left_apart_point(A39_1262_9, L40_1262_9) | left_apart_point(A39_1262_9, reverse_line(L40_1262_9)))
% 293.42/42.92
% 293.42/42.92 [18837] ALPHA_NOT_OR : ~(left_apart_point(A39_1262_9, L40_1262_9) | left_apart_point(A39_1262_9, reverse_line(L40_1262_9)))
% 293.42/42.92 -> [18838] ~left_apart_point(A39_1262_9, L40_1262_9), ~left_apart_point(A39_1262_9, reverse_line(L40_1262_9))
% 293.42/42.92
% 293.42/42.92 [18838] CLOSURE : ~left_apart_point(A39_1262_9, L40_1262_9)
% 293.42/42.92
% 293.42/42.92 [18726] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [19205] ~(left_apart_point(A39_1310_9, L40_1310_9) | left_apart_point(A39_1310_9, reverse_line(L40_1310_9)))
% 293.42/42.92
% 293.42/42.92 [19205] ALPHA_NOT_OR : ~(left_apart_point(A39_1310_9, L40_1310_9) | left_apart_point(A39_1310_9, reverse_line(L40_1310_9)))
% 293.42/42.92 -> [19206] ~left_apart_point(A39_1310_9, L40_1310_9), ~left_apart_point(A39_1310_9, reverse_line(L40_1310_9))
% 293.42/42.92
% 293.42/42.92 [19206] CLOSURE : ~left_apart_point(A39_1310_9, L40_1310_9)
% 293.42/42.92
% 293.42/42.92 [18660] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [18665] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92 -> [18666] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [18665] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [18666] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [18763] ((unequally_directed_lines(skolem_N7979, M38_660_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_660_8))) => (left_convergent_lines(skolem_N7979, M38_660_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_660_8))))
% 293.42/42.92
% 293.42/42.92 [18763] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_660_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_660_8))) => (left_convergent_lines(skolem_N7979, M38_660_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_660_8))))
% 293.42/42.92 -> [18764] ~(unequally_directed_lines(skolem_N7979, M38_660_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_660_8)))
% 293.42/42.92 -> [18765] (left_convergent_lines(skolem_N7979, M38_660_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_660_8)))
% 293.42/42.92
% 293.42/42.92 [18764] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_660_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_660_8)))
% 293.42/42.92 -> [18799] ~unequally_directed_lines(skolem_N7979, M38_660_8)
% 293.42/42.92 -> [18800] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_660_8))
% 293.42/42.92
% 293.42/42.92 [18800] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_660_8))
% 293.42/42.92
% 293.42/42.92 [18799] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_660_8)
% 293.42/42.92
% 293.42/42.92 [18765] BETA_OR : (left_convergent_lines(skolem_N7979, M38_660_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_660_8)))
% 293.42/42.92 -> [18769] left_convergent_lines(skolem_N7979, M38_660_8)
% 293.42/42.92 -> [18770] left_convergent_lines(skolem_N7979, reverse_line(M38_660_8))
% 293.42/42.92
% 293.42/42.92 [18769] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [18877] ~(left_apart_point(A39_1273_9, L40_1273_9) | left_apart_point(A39_1273_9, reverse_line(L40_1273_9)))
% 293.42/42.92
% 293.42/42.92 [18877] ALPHA_NOT_OR : ~(left_apart_point(A39_1273_9, L40_1273_9) | left_apart_point(A39_1273_9, reverse_line(L40_1273_9)))
% 293.42/42.92 -> [18880] ~left_apart_point(A39_1273_9, L40_1273_9), ~left_apart_point(A39_1273_9, reverse_line(L40_1273_9))
% 293.42/42.92
% 293.42/42.92 [18880] CLOSURE : ~left_apart_point(A39_1273_9, L40_1273_9)
% 293.42/42.92
% 293.42/42.92 [18770] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [19209] ~(left_apart_point(A39_1312_9, L40_1312_9) | left_apart_point(A39_1312_9, reverse_line(L40_1312_9)))
% 293.42/42.92
% 293.42/42.92 [19209] ALPHA_NOT_OR : ~(left_apart_point(A39_1312_9, L40_1312_9) | left_apart_point(A39_1312_9, reverse_line(L40_1312_9)))
% 293.42/42.92 -> [19212] ~left_apart_point(A39_1312_9, L40_1312_9), ~left_apart_point(A39_1312_9, reverse_line(L40_1312_9))
% 293.42/42.92
% 293.42/42.92 [19212] CLOSURE : ~left_apart_point(A39_1312_9, L40_1312_9)
% 293.42/42.92
% 293.42/42.92 [679] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.92 -> [1505] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.92
% 293.42/42.92 [1505] 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))))
% 293.42/42.92 -> [1563] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.92
% 293.42/42.92 [1563] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.92 -> [1566] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.92 -> [1567] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.92
% 293.42/42.92 [1566] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.92
% 293.42/42.92 [1567] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.92 -> [1787] distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.92 -> [1788] distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.92
% 293.42/42.92 [1788] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.92
% 293.42/42.92 [1787] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.92 -> [3812] ~distinct_lines(N27_87_3, N27_87_3)
% 293.42/42.92
% 293.42/42.92 [3812] 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))))
% 293.42/42.92 -> [4062] (distinct_lines(N27_87_3, N27_87_3) => (distinct_lines(N27_87_3, N27_87_3) | distinct_lines(N27_87_3, N27_87_3)))
% 293.42/42.92
% 293.42/42.92 [4062] 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)))
% 293.42/42.92 -> [4063] ~distinct_lines(N27_87_3, N27_87_3)
% 293.42/42.92 -> [4064] (distinct_lines(N27_87_3, N27_87_3) | distinct_lines(N27_87_3, N27_87_3))
% 293.42/42.92
% 293.42/42.92 [4064] BETA_OR : (distinct_lines(N27_87_3, N27_87_3) | distinct_lines(N27_87_3, N27_87_3))
% 293.42/42.92 -> [4067] distinct_lines(N27_87_3, N27_87_3)
% 293.42/42.92 -> [4068] distinct_lines(N27_87_3, N27_87_3)
% 293.42/42.92
% 293.42/42.92 [4067] CLOSURE : distinct_lines(N27_87_3, N27_87_3)
% 293.42/42.92
% 293.42/42.92 [4068] CLOSURE : distinct_lines(N27_87_3, N27_87_3)
% 293.42/42.92
% 293.42/42.92 [4063] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.92 -> [4182] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [4182] 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))))
% 293.42/42.92 -> [5750] (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))))
% 293.42/42.92
% 293.42/42.92 [5750] 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))))
% 293.42/42.92 -> [5751] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92 -> [5752] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.92
% 293.42/42.92 [5751] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [5752] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.92 -> [7401] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92 -> [7402] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [7402] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [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))))))
% 293.42/42.92 -> [10126] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_120_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_120_6))) | (unequally_directed_lines(skolem_N7979, N34_120_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_120_6)))))
% 293.42/42.92
% 293.42/42.92 [10126] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_120_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_120_6))) | (unequally_directed_lines(skolem_N7979, N34_120_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_120_6)))))
% 293.42/42.92 -> [10131] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [10132] ((unequally_directed_lines(skolem_M7878, N34_120_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_120_6))) | (unequally_directed_lines(skolem_N7979, N34_120_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_120_6))))
% 293.42/42.92
% 293.42/42.92 [10131] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [10175] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92 -> [10176] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [10176] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [10175] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92
% 293.42/42.92 [10132] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_120_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_120_6))) | (unequally_directed_lines(skolem_N7979, N34_120_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_120_6))))
% 293.42/42.92 -> [11598] (unequally_directed_lines(skolem_M7878, N34_120_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_120_6)))
% 293.42/42.92 -> [11599] (unequally_directed_lines(skolem_N7979, N34_120_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_120_6)))
% 293.42/42.92
% 293.42/42.92 [11598] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_120_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_120_6)))
% 293.42/42.92 -> [11605] unequally_directed_lines(skolem_M7878, N34_120_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_120_6))
% 293.42/42.92
% 293.42/42.92 [11605] 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)))))
% 293.42/42.92 -> [11653] ((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)))))
% 293.42/42.92
% 293.42/42.92 [11653] 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)))))
% 293.42/42.92 -> [11654] ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.92 -> [11655] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 293.42/42.92
% 293.42/42.92 [11654] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.92 -> [11677] ~line(reverse_line(skolem_N7979))
% 293.42/42.92 -> [11678] ~line(reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [11678] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [11725] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.92
% 293.42/42.92 [11725] 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))))
% 293.42/42.92 -> [11726] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [11727] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92
% 293.42/42.92 [11726] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [11756] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.92 -> [11757] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [11757] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [11756] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [11727] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [11730] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.92 -> [11731] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [11731] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [11845] ~(left_apart_point(A39_460_9, L40_460_9) | left_apart_point(A39_460_9, reverse_line(L40_460_9)))
% 293.42/42.92
% 293.42/42.92 [11845] ALPHA_NOT_OR : ~(left_apart_point(A39_460_9, L40_460_9) | left_apart_point(A39_460_9, reverse_line(L40_460_9)))
% 293.42/42.92 -> [11847] ~left_apart_point(A39_460_9, L40_460_9), ~left_apart_point(A39_460_9, reverse_line(L40_460_9))
% 293.42/42.92
% 293.42/42.92 [11847] CLOSURE : ~left_apart_point(A39_460_9, L40_460_9)
% 293.42/42.92
% 293.42/42.92 [11730] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [11871] ~(left_apart_point(A39_464_9, L40_464_9) | left_apart_point(A39_464_9, reverse_line(L40_464_9)))
% 293.42/42.92
% 293.42/42.92 [11871] ALPHA_NOT_OR : ~(left_apart_point(A39_464_9, L40_464_9) | left_apart_point(A39_464_9, reverse_line(L40_464_9)))
% 293.42/42.92 -> [11872] ~left_apart_point(A39_464_9, L40_464_9), ~left_apart_point(A39_464_9, reverse_line(L40_464_9))
% 293.42/42.92
% 293.42/42.92 [11872] CLOSURE : ~left_apart_point(A39_464_9, L40_464_9)
% 293.42/42.92
% 293.42/42.92 [11677] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [11746] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.92
% 293.42/42.92 [11746] 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))))
% 293.42/42.92 -> [11747] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [11748] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92
% 293.42/42.92 [11747] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [11772] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.92 -> [11773] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [11773] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [11772] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [11748] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [11749] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.92 -> [11750] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [11750] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [11902] ~(left_apart_point(A39_475_9, L40_475_9) | left_apart_point(A39_475_9, reverse_line(L40_475_9)))
% 293.42/42.92
% 293.42/42.92 [11902] ALPHA_NOT_OR : ~(left_apart_point(A39_475_9, L40_475_9) | left_apart_point(A39_475_9, reverse_line(L40_475_9)))
% 293.42/42.92 -> [11904] ~left_apart_point(A39_475_9, L40_475_9), ~left_apart_point(A39_475_9, reverse_line(L40_475_9))
% 293.42/42.92
% 293.42/42.92 [11904] CLOSURE : ~left_apart_point(A39_475_9, L40_475_9)
% 293.42/42.92
% 293.42/42.92 [11749] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [11918] ~(left_apart_point(A39_477_9, L40_477_9) | left_apart_point(A39_477_9, reverse_line(L40_477_9)))
% 293.42/42.92
% 293.42/42.92 [11918] ALPHA_NOT_OR : ~(left_apart_point(A39_477_9, L40_477_9) | left_apart_point(A39_477_9, reverse_line(L40_477_9)))
% 293.42/42.92 -> [11919] ~left_apart_point(A39_477_9, L40_477_9), ~left_apart_point(A39_477_9, reverse_line(L40_477_9))
% 293.42/42.92
% 293.42/42.92 [11919] CLOSURE : ~left_apart_point(A39_477_9, L40_477_9)
% 293.42/42.92
% 293.42/42.92 [11655] 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))))
% 293.42/42.92 -> [11659] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.92 -> [11660] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 293.42/42.92
% 293.42/42.92 [11659] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [11660] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [13016] ((unequally_directed_lines(skolem_M7878, M38_306_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_306_8))) => (left_convergent_lines(skolem_M7878, M38_306_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_306_8))))
% 293.42/42.92
% 293.42/42.92 [13016] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_306_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_306_8))) => (left_convergent_lines(skolem_M7878, M38_306_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_306_8))))
% 293.42/42.92 -> [13017] ~(unequally_directed_lines(skolem_M7878, M38_306_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_306_8)))
% 293.42/42.92 -> [13018] (left_convergent_lines(skolem_M7878, M38_306_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_306_8)))
% 293.42/42.92
% 293.42/42.92 [13017] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_306_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_306_8)))
% 293.42/42.92 -> [13025] ~unequally_directed_lines(skolem_M7878, M38_306_8)
% 293.42/42.92 -> [13026] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_306_8))
% 293.42/42.92
% 293.42/42.92 [13026] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_306_8))
% 293.42/42.92
% 293.42/42.92 [13025] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_306_8)
% 293.42/42.92
% 293.42/42.92 [13018] BETA_OR : (left_convergent_lines(skolem_M7878, M38_306_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_306_8)))
% 293.42/42.92 -> [13021] left_convergent_lines(skolem_M7878, M38_306_8)
% 293.42/42.92 -> [13022] left_convergent_lines(skolem_M7878, reverse_line(M38_306_8))
% 293.42/42.92
% 293.42/42.92 [13022] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [13062] ~(left_apart_point(A39_590_9, L40_590_9) | left_apart_point(A39_590_9, reverse_line(L40_590_9)))
% 293.42/42.92
% 293.42/42.92 [13062] ALPHA_NOT_OR : ~(left_apart_point(A39_590_9, L40_590_9) | left_apart_point(A39_590_9, reverse_line(L40_590_9)))
% 293.42/42.92 -> [13063] ~left_apart_point(A39_590_9, L40_590_9), ~left_apart_point(A39_590_9, reverse_line(L40_590_9))
% 293.42/42.92
% 293.42/42.92 [13063] CLOSURE : ~left_apart_point(A39_590_9, L40_590_9)
% 293.42/42.92
% 293.42/42.92 [13021] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [13079] ~(left_apart_point(A39_594_9, L40_594_9) | left_apart_point(A39_594_9, reverse_line(L40_594_9)))
% 293.42/42.92
% 293.42/42.92 [13079] ALPHA_NOT_OR : ~(left_apart_point(A39_594_9, L40_594_9) | left_apart_point(A39_594_9, reverse_line(L40_594_9)))
% 293.42/42.92 -> [13082] ~left_apart_point(A39_594_9, L40_594_9), ~left_apart_point(A39_594_9, reverse_line(L40_594_9))
% 293.42/42.92
% 293.42/42.92 [13082] CLOSURE : ~left_apart_point(A39_594_9, L40_594_9)
% 293.42/42.92
% 293.42/42.92 [11599] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_120_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_120_6)))
% 293.42/42.92 -> [11602] unequally_directed_lines(skolem_N7979, N34_120_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_120_6))
% 293.42/42.92
% 293.42/42.92 [11602] 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)))))
% 293.42/42.92 -> [11627] ((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))))
% 293.42/42.92
% 293.42/42.92 [11627] 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))))
% 293.42/42.92 -> [11631] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.92 -> [11632] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.92
% 293.42/42.92 [11631] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.92 -> [11646] ~line(reverse_line(skolem_N7979))
% 293.42/42.92 -> [11647] ~line(skolem_N7979)
% 293.42/42.92
% 293.42/42.92 [11647] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [11696] ((unequally_directed_lines(skolem_N7979, M38_243_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_243_8))) => (left_convergent_lines(skolem_N7979, M38_243_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_243_8))))
% 293.42/42.92
% 293.42/42.92 [11696] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_243_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_243_8))) => (left_convergent_lines(skolem_N7979, M38_243_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_243_8))))
% 293.42/42.92 -> [11698] ~(unequally_directed_lines(skolem_N7979, M38_243_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_243_8)))
% 293.42/42.92 -> [11699] (left_convergent_lines(skolem_N7979, M38_243_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_243_8)))
% 293.42/42.92
% 293.42/42.92 [11698] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_243_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_243_8)))
% 293.42/42.92 -> [11715] ~unequally_directed_lines(skolem_N7979, M38_243_8)
% 293.42/42.92 -> [11716] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_243_8))
% 293.42/42.92
% 293.42/42.92 [11716] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_243_8))
% 293.42/42.92
% 293.42/42.92 [11715] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_243_8)
% 293.42/42.92
% 293.42/42.92 [11699] BETA_OR : (left_convergent_lines(skolem_N7979, M38_243_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_243_8)))
% 293.42/42.92 -> [11700] left_convergent_lines(skolem_N7979, M38_243_8)
% 293.42/42.92 -> [11701] left_convergent_lines(skolem_N7979, reverse_line(M38_243_8))
% 293.42/42.92
% 293.42/42.92 [11701] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [11795] ~(left_apart_point(A39_449_9, L40_449_9) | left_apart_point(A39_449_9, reverse_line(L40_449_9)))
% 293.42/42.92
% 293.42/42.92 [11795] ALPHA_NOT_OR : ~(left_apart_point(A39_449_9, L40_449_9) | left_apart_point(A39_449_9, reverse_line(L40_449_9)))
% 293.42/42.92 -> [11798] ~left_apart_point(A39_449_9, L40_449_9), ~left_apart_point(A39_449_9, reverse_line(L40_449_9))
% 293.42/42.92
% 293.42/42.92 [11798] CLOSURE : ~left_apart_point(A39_449_9, L40_449_9)
% 293.42/42.92
% 293.42/42.92 [11700] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [11831] ~(left_apart_point(A39_455_9, L40_455_9) | left_apart_point(A39_455_9, reverse_line(L40_455_9)))
% 293.42/42.92
% 293.42/42.92 [11831] ALPHA_NOT_OR : ~(left_apart_point(A39_455_9, L40_455_9) | left_apart_point(A39_455_9, reverse_line(L40_455_9)))
% 293.42/42.92 -> [11832] ~left_apart_point(A39_455_9, L40_455_9), ~left_apart_point(A39_455_9, reverse_line(L40_455_9))
% 293.42/42.92
% 293.42/42.92 [11832] CLOSURE : ~left_apart_point(A39_455_9, L40_455_9)
% 293.42/42.92
% 293.42/42.92 [11646] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [11738] ((unequally_directed_lines(skolem_N7979, M38_245_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_245_8))) => (left_convergent_lines(skolem_N7979, M38_245_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_245_8))))
% 293.42/42.92
% 293.42/42.92 [11738] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_245_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_245_8))) => (left_convergent_lines(skolem_N7979, M38_245_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_245_8))))
% 293.42/42.92 -> [11740] ~(unequally_directed_lines(skolem_N7979, M38_245_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_245_8)))
% 293.42/42.92 -> [11741] (left_convergent_lines(skolem_N7979, M38_245_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_245_8)))
% 293.42/42.92
% 293.42/42.92 [11740] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_245_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_245_8)))
% 293.42/42.92 -> [11762] ~unequally_directed_lines(skolem_N7979, M38_245_8)
% 293.42/42.92 -> [11763] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_245_8))
% 293.42/42.92
% 293.42/42.92 [11763] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_245_8))
% 293.42/42.92
% 293.42/42.92 [11762] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_245_8)
% 293.42/42.92
% 293.42/42.92 [11741] BETA_OR : (left_convergent_lines(skolem_N7979, M38_245_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_245_8)))
% 293.42/42.92 -> [11742] left_convergent_lines(skolem_N7979, M38_245_8)
% 293.42/42.92 -> [11743] left_convergent_lines(skolem_N7979, reverse_line(M38_245_8))
% 293.42/42.92
% 293.42/42.92 [11742] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [11879] ~(left_apart_point(A39_467_9, L40_467_9) | left_apart_point(A39_467_9, reverse_line(L40_467_9)))
% 293.42/42.92
% 293.42/42.92 [11879] ALPHA_NOT_OR : ~(left_apart_point(A39_467_9, L40_467_9) | left_apart_point(A39_467_9, reverse_line(L40_467_9)))
% 293.42/42.92 -> [11882] ~left_apart_point(A39_467_9, L40_467_9), ~left_apart_point(A39_467_9, reverse_line(L40_467_9))
% 293.42/42.92
% 293.42/42.92 [11882] CLOSURE : ~left_apart_point(A39_467_9, L40_467_9)
% 293.42/42.92
% 293.42/42.92 [11743] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [11889] ~(left_apart_point(A39_470_9, L40_470_9) | left_apart_point(A39_470_9, reverse_line(L40_470_9)))
% 293.42/42.92
% 293.42/42.92 [11889] ALPHA_NOT_OR : ~(left_apart_point(A39_470_9, L40_470_9) | left_apart_point(A39_470_9, reverse_line(L40_470_9)))
% 293.42/42.92 -> [11890] ~left_apart_point(A39_470_9, L40_470_9), ~left_apart_point(A39_470_9, reverse_line(L40_470_9))
% 293.42/42.92
% 293.42/42.92 [11890] CLOSURE : ~left_apart_point(A39_470_9, L40_470_9)
% 293.42/42.92
% 293.42/42.92 [11632] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.92 -> [11637] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 293.42/42.92 -> [11638] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [11638] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [11637] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [12583] ((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))))
% 293.42/42.92
% 293.42/42.92 [12583] 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))))
% 293.42/42.92 -> [12585] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [12586] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92
% 293.42/42.92 [12585] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [12673] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92 -> [12674] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [12674] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [12673] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92
% 293.42/42.92 [12586] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [12591] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92 -> [12592] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [12591] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [13014] ~(left_apart_point(A39_583_9, L40_583_9) | left_apart_point(A39_583_9, reverse_line(L40_583_9)))
% 293.42/42.92
% 293.42/42.92 [13014] ALPHA_NOT_OR : ~(left_apart_point(A39_583_9, L40_583_9) | left_apart_point(A39_583_9, reverse_line(L40_583_9)))
% 293.42/42.92 -> [13015] ~left_apart_point(A39_583_9, L40_583_9), ~left_apart_point(A39_583_9, reverse_line(L40_583_9))
% 293.42/42.92
% 293.42/42.92 [13015] CLOSURE : ~left_apart_point(A39_583_9, L40_583_9)
% 293.42/42.92
% 293.42/42.92 [12592] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [15944] ~(left_apart_point(A39_927_9, L40_927_9) | left_apart_point(A39_927_9, reverse_line(L40_927_9)))
% 293.42/42.92
% 293.42/42.92 [15944] ALPHA_NOT_OR : ~(left_apart_point(A39_927_9, L40_927_9) | left_apart_point(A39_927_9, reverse_line(L40_927_9)))
% 293.42/42.92 -> [15947] ~left_apart_point(A39_927_9, L40_927_9), ~left_apart_point(A39_927_9, reverse_line(L40_927_9))
% 293.42/42.92
% 293.42/42.92 [15947] CLOSURE : ~left_apart_point(A39_927_9, L40_927_9)
% 293.42/42.92
% 293.42/42.92 [666] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.92 -> [1119] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.92
% 293.42/42.92 [1119] 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))))
% 293.42/42.92 -> [3702] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.92
% 293.42/42.92 [3702] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 293.42/42.92 -> [3705] ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.92 -> [3706] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.92
% 293.42/42.92 [3705] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.92
% 293.42/42.92 [3706] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 293.42/42.92 -> [7627] distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.92 -> [7628] distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.92
% 293.42/42.92 [7628] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.92
% 293.42/42.92 [7627] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.92 -> [8451] ~distinct_lines(N27_261_3, N27_261_3)
% 293.42/42.92
% 293.42/42.92 [8451] 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))))
% 293.42/42.92 -> [8540] (distinct_lines(N27_261_3, N27_261_3) => (distinct_lines(N27_261_3, N27_261_3) | distinct_lines(N27_261_3, N27_261_3)))
% 293.42/42.92
% 293.42/42.92 [8540] BETA_IMPLY : (distinct_lines(N27_261_3, N27_261_3) => (distinct_lines(N27_261_3, N27_261_3) | distinct_lines(N27_261_3, N27_261_3)))
% 293.42/42.92 -> [8542] ~distinct_lines(N27_261_3, N27_261_3)
% 293.42/42.92 -> [8543] (distinct_lines(N27_261_3, N27_261_3) | distinct_lines(N27_261_3, N27_261_3))
% 293.42/42.92
% 293.42/42.92 [8543] BETA_OR : (distinct_lines(N27_261_3, N27_261_3) | distinct_lines(N27_261_3, N27_261_3))
% 293.42/42.92 -> [8547] distinct_lines(N27_261_3, N27_261_3)
% 293.42/42.92 -> [8548] distinct_lines(N27_261_3, N27_261_3)
% 293.42/42.92
% 293.42/42.92 [8548] CLOSURE : distinct_lines(N27_261_3, N27_261_3)
% 293.42/42.92
% 293.42/42.92 [8547] CLOSURE : distinct_lines(N27_261_3, N27_261_3)
% 293.42/42.92
% 293.42/42.92 [8542] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.92 -> [8675] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [8675] 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))))
% 293.42/42.92 -> [8878] (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)))
% 293.42/42.92
% 293.42/42.92 [8878] 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)))
% 293.42/42.92 -> [8879] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92 -> [8880] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [8879] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [8880] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.92 -> [21561] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92 -> [21562] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [21561] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [21562] 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))))))
% 293.42/42.92 -> [24915] ((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)))))
% 293.42/42.92
% 293.42/42.92 [24915] 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)))))
% 293.42/42.92 -> [24916] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [24917] ((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))))
% 293.42/42.92
% 293.42/42.92 [24916] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [24935] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92 -> [24936] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [24936] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [24935] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92
% 293.42/42.92 [24917] 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))))
% 293.42/42.92 -> [26594] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [26595] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.92
% 293.42/42.92 [26594] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [26596] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [26596] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [26595] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [26597] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [26597] 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)))))
% 293.42/42.92 -> [26598] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.92
% 293.42/42.92 [26598] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.92 -> [26599] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.92 -> [26600] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.92
% 293.42/42.92 [26599] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.92 -> [26603] ~line(skolem_M7878)
% 293.42/42.92 -> [26604] ~line(skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [26603] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [26609] ((unequally_directed_lines(skolem_N7979, M38_1185_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1185_8))) => (left_convergent_lines(skolem_N7979, M38_1185_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1185_8))))
% 293.42/42.92
% 293.42/42.92 [26609] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1185_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1185_8))) => (left_convergent_lines(skolem_N7979, M38_1185_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1185_8))))
% 293.42/42.92 -> [26610] ~(unequally_directed_lines(skolem_N7979, M38_1185_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1185_8)))
% 293.42/42.92 -> [26611] (left_convergent_lines(skolem_N7979, M38_1185_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1185_8)))
% 293.42/42.92
% 293.42/42.92 [26610] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1185_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1185_8)))
% 293.42/42.92 -> [26614] ~unequally_directed_lines(skolem_N7979, M38_1185_8)
% 293.42/42.92 -> [26615] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1185_8))
% 293.42/42.92
% 293.42/42.92 [26615] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1185_8))
% 293.42/42.92
% 293.42/42.92 [26614] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1185_8)
% 293.42/42.92
% 293.42/42.92 [26611] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1185_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1185_8)))
% 293.42/42.92 -> [26612] left_convergent_lines(skolem_N7979, M38_1185_8)
% 293.42/42.92 -> [26613] left_convergent_lines(skolem_N7979, reverse_line(M38_1185_8))
% 293.42/42.92
% 293.42/42.92 [26612] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [26619] ~(left_apart_point(A39_2369_9, L40_2369_9) | left_apart_point(A39_2369_9, reverse_line(L40_2369_9)))
% 293.42/42.92
% 293.42/42.92 [26619] ALPHA_NOT_OR : ~(left_apart_point(A39_2369_9, L40_2369_9) | left_apart_point(A39_2369_9, reverse_line(L40_2369_9)))
% 293.42/42.92 -> [26622] ~left_apart_point(A39_2369_9, L40_2369_9), ~left_apart_point(A39_2369_9, reverse_line(L40_2369_9))
% 293.42/42.92
% 293.42/42.92 [26622] CLOSURE : ~left_apart_point(A39_2369_9, L40_2369_9)
% 293.42/42.92
% 293.42/42.92 [26613] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [26636] ~(left_apart_point(A39_2372_9, L40_2372_9) | left_apart_point(A39_2372_9, reverse_line(L40_2372_9)))
% 293.42/42.92
% 293.42/42.92 [26636] ALPHA_NOT_OR : ~(left_apart_point(A39_2372_9, L40_2372_9) | left_apart_point(A39_2372_9, reverse_line(L40_2372_9)))
% 293.42/42.92 -> [26638] ~left_apart_point(A39_2372_9, L40_2372_9), ~left_apart_point(A39_2372_9, reverse_line(L40_2372_9))
% 293.42/42.92
% 293.42/42.92 [26638] CLOSURE : ~left_apart_point(A39_2372_9, L40_2372_9)
% 293.42/42.92
% 293.42/42.92 [26604] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [26623] ((unequally_directed_lines(skolem_N7979, M38_1187_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1187_8))) => (left_convergent_lines(skolem_N7979, M38_1187_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1187_8))))
% 293.42/42.92
% 293.42/42.92 [26623] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1187_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1187_8))) => (left_convergent_lines(skolem_N7979, M38_1187_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1187_8))))
% 293.42/42.92 -> [26626] ~(unequally_directed_lines(skolem_N7979, M38_1187_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1187_8)))
% 293.42/42.92 -> [26627] (left_convergent_lines(skolem_N7979, M38_1187_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1187_8)))
% 293.42/42.92
% 293.42/42.92 [26627] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1187_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1187_8)))
% 293.42/42.92 -> [26630] left_convergent_lines(skolem_N7979, M38_1187_8)
% 293.42/42.92 -> [26631] left_convergent_lines(skolem_N7979, reverse_line(M38_1187_8))
% 293.42/42.92
% 293.42/42.92 [26631] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [26634] ~(left_apart_point(A39_2371_9, L40_2371_9) | left_apart_point(A39_2371_9, reverse_line(L40_2371_9)))
% 293.42/42.92
% 293.42/42.92 [26634] ALPHA_NOT_OR : ~(left_apart_point(A39_2371_9, L40_2371_9) | left_apart_point(A39_2371_9, reverse_line(L40_2371_9)))
% 293.42/42.92 -> [26635] ~left_apart_point(A39_2371_9, L40_2371_9), ~left_apart_point(A39_2371_9, reverse_line(L40_2371_9))
% 293.42/42.92
% 293.42/42.92 [26635] CLOSURE : ~left_apart_point(A39_2371_9, L40_2371_9)
% 293.42/42.92
% 293.42/42.92 [26630] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [26637] ~(left_apart_point(A39_2373_9, L40_2373_9) | left_apart_point(A39_2373_9, reverse_line(L40_2373_9)))
% 293.42/42.92
% 293.42/42.92 [26637] ALPHA_NOT_OR : ~(left_apart_point(A39_2373_9, L40_2373_9) | left_apart_point(A39_2373_9, reverse_line(L40_2373_9)))
% 293.42/42.92 -> [26639] ~left_apart_point(A39_2373_9, L40_2373_9), ~left_apart_point(A39_2373_9, reverse_line(L40_2373_9))
% 293.42/42.92
% 293.42/42.92 [26639] CLOSURE : ~left_apart_point(A39_2373_9, L40_2373_9)
% 293.42/42.92
% 293.42/42.92 [26626] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1187_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1187_8)))
% 293.42/42.92 -> [26632] ~unequally_directed_lines(skolem_N7979, M38_1187_8)
% 293.42/42.92 -> [26633] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1187_8))
% 293.42/42.92
% 293.42/42.92 [26633] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1187_8))
% 293.42/42.92
% 293.42/42.92 [26632] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1187_8)
% 293.42/42.92
% 293.42/42.92 [26600] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [26601] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92 -> [26602] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [26601] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [26602] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [26616] ((unequally_directed_lines(skolem_N7979, M38_1186_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1186_8))) => (left_convergent_lines(skolem_N7979, M38_1186_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1186_8))))
% 293.42/42.92
% 293.42/42.92 [26616] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1186_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1186_8))) => (left_convergent_lines(skolem_N7979, M38_1186_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1186_8))))
% 293.42/42.92 -> [26617] ~(unequally_directed_lines(skolem_N7979, M38_1186_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1186_8)))
% 293.42/42.92 -> [26618] (left_convergent_lines(skolem_N7979, M38_1186_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1186_8)))
% 293.42/42.92
% 293.42/42.92 [26618] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1186_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1186_8)))
% 293.42/42.92 -> [26620] left_convergent_lines(skolem_N7979, M38_1186_8)
% 293.42/42.92 -> [26621] left_convergent_lines(skolem_N7979, reverse_line(M38_1186_8))
% 293.42/42.92
% 293.42/42.92 [26620] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [26643] ~(left_apart_point(A39_2374_9, L40_2374_9) | left_apart_point(A39_2374_9, reverse_line(L40_2374_9)))
% 293.42/42.92
% 293.42/42.92 [26643] ALPHA_NOT_OR : ~(left_apart_point(A39_2374_9, L40_2374_9) | left_apart_point(A39_2374_9, reverse_line(L40_2374_9)))
% 293.42/42.92 -> [26644] ~left_apart_point(A39_2374_9, L40_2374_9), ~left_apart_point(A39_2374_9, reverse_line(L40_2374_9))
% 293.42/42.92
% 293.42/42.92 [26644] CLOSURE : ~left_apart_point(A39_2374_9, L40_2374_9)
% 293.42/42.92
% 293.42/42.92 [26621] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [26645] ~(left_apart_point(A39_2375_9, L40_2375_9) | left_apart_point(A39_2375_9, reverse_line(L40_2375_9)))
% 293.42/42.92
% 293.42/42.92 [26645] ALPHA_NOT_OR : ~(left_apart_point(A39_2375_9, L40_2375_9) | left_apart_point(A39_2375_9, reverse_line(L40_2375_9)))
% 293.42/42.92 -> [26648] ~left_apart_point(A39_2375_9, L40_2375_9), ~left_apart_point(A39_2375_9, reverse_line(L40_2375_9))
% 293.42/42.92
% 293.42/42.92 [26648] CLOSURE : ~left_apart_point(A39_2375_9, L40_2375_9)
% 293.42/42.92
% 293.42/42.92 [26617] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1186_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1186_8)))
% 293.42/42.92 -> [26624] ~unequally_directed_lines(skolem_N7979, M38_1186_8)
% 293.42/42.92 -> [26625] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1186_8))
% 293.42/42.92
% 293.42/42.92 [26624] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1186_8)
% 293.42/42.92
% 293.42/42.92 [26625] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1186_8))
% 293.42/42.92
% 293.42/42.92 [29] ALPHA_AND : (before_on_line(skolem_L7777, skolem_A8080, skolem_B8181) & before_on_line(skolem_L7777, skolem_B8181, skolem_C8282))
% 293.42/42.92 -> [37] before_on_line(skolem_L7777, skolem_A8080, skolem_B8181), before_on_line(skolem_L7777, skolem_B8181, skolem_C8282)
% 293.42/42.92
% 293.42/42.92 [37] Rewrite : before_on_line(skolem_L7777, skolem_A8080, skolem_B8181)
% 293.42/42.92 -> [46] (((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)))
% 293.42/42.92
% 293.42/42.92 [46] Rewrite : before_on_line(skolem_L7777, skolem_B8181, skolem_C8282)
% 293.42/42.92 -> [54] (((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)))
% 293.42/42.92
% 293.42/42.92 [54] 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)))
% 293.42/42.92 -> [62] ((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))
% 293.42/42.92
% 293.42/42.92 [62] 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)))
% 293.42/42.92 -> [69] ((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))
% 293.42/42.92
% 293.42/42.92 [69] 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))))
% 293.42/42.92 -> [78] (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)))
% 293.42/42.92
% 293.42/42.92 [78] 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))))
% 293.42/42.92 -> [80] (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)))
% 293.42/42.92
% 293.42/42.92 [80] ALPHA_AND : (distinct_points(skolem_A8080, skolem_B8181) & ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777))))
% 293.42/42.92 -> [83] distinct_points(skolem_A8080, skolem_B8181), ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))
% 293.42/42.92
% 293.42/42.92 [83] ALPHA_NOT_OR : ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))
% 293.42/42.92 -> [103] ~left_apart_point(skolem_B8181, skolem_L7777), ~left_apart_point(skolem_B8181, reverse_line(skolem_L7777))
% 293.42/42.92
% 293.42/42.92 [103] ALPHA_AND : (distinct_points(skolem_B8181, skolem_C8282) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777))))
% 293.42/42.92 -> [112] distinct_points(skolem_B8181, skolem_C8282), ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))
% 293.42/42.92
% 293.42/42.92 [112] ALPHA_NOT_OR : ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))
% 293.42/42.92 -> [121] ~left_apart_point(skolem_C8282, skolem_L7777), ~left_apart_point(skolem_C8282, reverse_line(skolem_L7777))
% 293.42/42.92
% 293.42/42.92 [121] ALPHA_NOT_OR : ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))
% 293.42/42.92 -> [129] ~left_apart_point(skolem_A8080, skolem_L7777), ~left_apart_point(skolem_A8080, reverse_line(skolem_L7777))
% 293.42/42.92
% 293.42/42.92 [129] ALPHA_NOT_OR : ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))
% 293.42/42.92 -> [136] ~left_apart_point(skolem_B8181, skolem_L7777), ~left_apart_point(skolem_B8181, reverse_line(skolem_L7777))
% 293.42/42.92
% 293.42/42.92 [136] BETA_NOT_AND : ~(((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))) & ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.92 -> [154] ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.42/42.92 -> [155] ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.92
% 293.42/42.92 [155] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.92 -> [161] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.92
% 293.42/42.92 [161] BETA_NOT_AND : ~(((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))) & ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.92 -> [597] ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.42/42.92 -> [598] ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.92
% 293.42/42.92 [598] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.92 -> [604] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.92
% 293.42/42.92 [604] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.92 -> [1141] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.92
% 293.42/42.92 [1141] 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))))
% 293.42/42.92 -> [2402] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.92
% 293.42/42.92 [2402] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.92 -> [2405] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.92 -> [2406] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.92
% 293.42/42.92 [2405] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.92
% 293.42/42.92 [2406] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.92 -> [2458] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.92 -> [2459] distinct_points(skolem_C8282, skolem_B8181)
% 293.42/42.92
% 293.42/42.92 [2458] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.92
% 293.42/42.92 [2459] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.92 -> [2470] ~distinct_lines(N27_22_3, N27_22_3)
% 293.42/42.92
% 293.42/42.92 [2470] 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))))
% 293.42/42.92 -> [2475] (distinct_lines(N27_22_3, N27_22_3) => (distinct_lines(N27_22_3, N27_22_3) | distinct_lines(N27_22_3, N27_22_3)))
% 293.42/42.92
% 293.42/42.92 [2475] 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)))
% 293.42/42.92 -> [2476] ~distinct_lines(N27_22_3, N27_22_3)
% 293.42/42.92 -> [2477] (distinct_lines(N27_22_3, N27_22_3) | distinct_lines(N27_22_3, N27_22_3))
% 293.42/42.92
% 293.42/42.92 [2477] BETA_OR : (distinct_lines(N27_22_3, N27_22_3) | distinct_lines(N27_22_3, N27_22_3))
% 293.42/42.92 -> [2478] distinct_lines(N27_22_3, N27_22_3)
% 293.42/42.92 -> [2479] distinct_lines(N27_22_3, N27_22_3)
% 293.42/42.92
% 293.42/42.92 [2478] CLOSURE : distinct_lines(N27_22_3, N27_22_3)
% 293.42/42.92
% 293.42/42.92 [2479] CLOSURE : distinct_lines(N27_22_3, N27_22_3)
% 293.42/42.92
% 293.42/42.92 [2476] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.92 -> [4032] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [4032] 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))))
% 293.42/42.92 -> [4161] (unequally_directed_lines(skolem_M7878, skolem_N7979) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_N7979, skolem_M7878)))
% 293.42/42.92
% 293.42/42.92 [4161] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, skolem_N7979) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_N7979, skolem_M7878)))
% 293.42/42.92 -> [4162] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92 -> [4163] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_N7979, skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [4162] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92
% 293.42/42.92 [4163] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_N7979, skolem_M7878))
% 293.42/42.92 -> [5847] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92 -> [5848] unequally_directed_lines(skolem_N7979, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [5847] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [5848] 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))))))
% 293.42/42.92 -> [6400] ((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)))))
% 293.42/42.92
% 293.42/42.92 [6400] 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)))))
% 293.42/42.92 -> [6401] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [6402] ((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))))
% 293.42/42.92
% 293.42/42.92 [6401] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [6663] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92 -> [6664] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [6664] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [6663] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92
% 293.42/42.92 [6402] 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))))
% 293.42/42.92 -> [10804] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [10805] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.92
% 293.42/42.92 [10804] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [10971] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [10971] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [10805] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [10961] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [10961] 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)))))
% 293.42/42.92 -> [11047] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.92
% 293.42/42.92 [11047] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.92 -> [11051] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.92 -> [11052] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.92
% 293.42/42.92 [11051] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.92 -> [11069] ~line(skolem_M7878)
% 293.42/42.92 -> [11070] ~line(skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [11069] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [11165] ((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))))
% 293.42/42.92
% 293.42/42.92 [11165] 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))))
% 293.42/42.92 -> [11168] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [11169] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92
% 293.42/42.92 [11168] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [11217] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92 -> [11218] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [11218] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [11217] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92
% 293.42/42.92 [11169] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [11170] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92 -> [11171] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [11170] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [11356] ~(left_apart_point(A39_418_9, L40_418_9) | left_apart_point(A39_418_9, reverse_line(L40_418_9)))
% 293.42/42.92
% 293.42/42.92 [11356] ALPHA_NOT_OR : ~(left_apart_point(A39_418_9, L40_418_9) | left_apart_point(A39_418_9, reverse_line(L40_418_9)))
% 293.42/42.92 -> [11358] ~left_apart_point(A39_418_9, L40_418_9), ~left_apart_point(A39_418_9, reverse_line(L40_418_9))
% 293.42/42.92
% 293.42/42.92 [11358] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.92 -> [11603] ~(left_convergent_lines(L41_80_10, M42_80_10) | left_convergent_lines(L41_80_10, reverse_line(M42_80_10)))
% 293.42/42.92
% 293.42/42.92 [11603] ALPHA_NOT_OR : ~(left_convergent_lines(L41_80_10, M42_80_10) | left_convergent_lines(L41_80_10, reverse_line(M42_80_10)))
% 293.42/42.92 -> [11604] ~left_convergent_lines(L41_80_10, M42_80_10), ~left_convergent_lines(L41_80_10, reverse_line(M42_80_10))
% 293.42/42.92
% 293.42/42.92 [11604] CLOSURE : ~left_convergent_lines(L41_80_10, M42_80_10)
% 293.42/42.92
% 293.42/42.92 [11171] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [11333] ~(left_apart_point(A39_410_9, L40_410_9) | left_apart_point(A39_410_9, reverse_line(L40_410_9)))
% 293.42/42.92
% 293.42/42.92 [11333] ALPHA_NOT_OR : ~(left_apart_point(A39_410_9, L40_410_9) | left_apart_point(A39_410_9, reverse_line(L40_410_9)))
% 293.42/42.92 -> [11335] ~left_apart_point(A39_410_9, L40_410_9), ~left_apart_point(A39_410_9, reverse_line(L40_410_9))
% 293.42/42.92
% 293.42/42.92 [11335] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.92 -> [11562] ~(left_convergent_lines(L41_79_10, M42_79_10) | left_convergent_lines(L41_79_10, reverse_line(M42_79_10)))
% 293.42/42.92
% 293.42/42.92 [11562] ALPHA_NOT_OR : ~(left_convergent_lines(L41_79_10, M42_79_10) | left_convergent_lines(L41_79_10, reverse_line(M42_79_10)))
% 293.42/42.92 -> [11962] ~left_convergent_lines(L41_79_10, M42_79_10), ~left_convergent_lines(L41_79_10, reverse_line(M42_79_10))
% 293.42/42.92
% 293.42/42.92 [11962] CLOSURE : ~left_convergent_lines(L41_79_10, M42_79_10)
% 293.42/42.92
% 293.42/42.92 [11070] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [11135] ((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))))
% 293.42/42.92
% 293.42/42.92 [11135] 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))))
% 293.42/42.92 -> [11140] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [11141] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92
% 293.42/42.92 [11140] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [11176] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92 -> [11177] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [11176] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92
% 293.42/42.92 [11177] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [11141] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [11142] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92 -> [11143] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [11143] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [11316] ~(left_apart_point(A39_406_9, L40_406_9) | left_apart_point(A39_406_9, reverse_line(L40_406_9)))
% 293.42/42.92
% 293.42/42.92 [11316] ALPHA_NOT_OR : ~(left_apart_point(A39_406_9, L40_406_9) | left_apart_point(A39_406_9, reverse_line(L40_406_9)))
% 293.42/42.92 -> [11319] ~left_apart_point(A39_406_9, L40_406_9), ~left_apart_point(A39_406_9, reverse_line(L40_406_9))
% 293.42/42.92
% 293.42/42.92 [11319] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.92 -> [11472] ~(left_convergent_lines(L41_77_10, M42_77_10) | left_convergent_lines(L41_77_10, reverse_line(M42_77_10)))
% 293.42/42.92
% 293.42/42.92 [11472] ALPHA_NOT_OR : ~(left_convergent_lines(L41_77_10, M42_77_10) | left_convergent_lines(L41_77_10, reverse_line(M42_77_10)))
% 293.42/42.92 -> [11476] ~left_convergent_lines(L41_77_10, M42_77_10), ~left_convergent_lines(L41_77_10, reverse_line(M42_77_10))
% 293.42/42.92
% 293.42/42.92 [11476] CLOSURE : ~left_convergent_lines(L41_77_10, M42_77_10)
% 293.42/42.92
% 293.42/42.92 [11142] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [11340] ~(left_apart_point(A39_412_9, L40_412_9) | left_apart_point(A39_412_9, reverse_line(L40_412_9)))
% 293.42/42.92
% 293.42/42.92 [11340] ALPHA_NOT_OR : ~(left_apart_point(A39_412_9, L40_412_9) | left_apart_point(A39_412_9, reverse_line(L40_412_9)))
% 293.42/42.92 -> [11341] ~left_apart_point(A39_412_9, L40_412_9), ~left_apart_point(A39_412_9, reverse_line(L40_412_9))
% 293.42/42.92
% 293.42/42.92 [11341] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.92 -> [12019] ~(left_convergent_lines(L41_81_10, M42_81_10) | left_convergent_lines(L41_81_10, reverse_line(M42_81_10)))
% 293.42/42.92
% 293.42/42.92 [12019] ALPHA_NOT_OR : ~(left_convergent_lines(L41_81_10, M42_81_10) | left_convergent_lines(L41_81_10, reverse_line(M42_81_10)))
% 293.42/42.92 -> [12020] ~left_convergent_lines(L41_81_10, M42_81_10), ~left_convergent_lines(L41_81_10, reverse_line(M42_81_10))
% 293.42/42.92
% 293.42/42.92 [12020] CLOSURE : ~left_convergent_lines(L41_81_10, M42_81_10)
% 293.42/42.92
% 293.42/42.92 [11052] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [11058] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92 -> [11059] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [11058] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [11059] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [11145] ((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))))
% 293.42/42.92
% 293.42/42.92 [11145] 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))))
% 293.42/42.92 -> [11146] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [11147] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92
% 293.42/42.92 [11146] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [11181] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92 -> [11182] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [11182] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [11181] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92
% 293.42/42.92 [11147] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [11149] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92 -> [11150] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [11150] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [11321] ~(left_apart_point(A39_407_9, L40_407_9) | left_apart_point(A39_407_9, reverse_line(L40_407_9)))
% 293.42/42.92
% 293.42/42.92 [11321] ALPHA_NOT_OR : ~(left_apart_point(A39_407_9, L40_407_9) | left_apart_point(A39_407_9, reverse_line(L40_407_9)))
% 293.42/42.92 -> [11322] ~left_apart_point(A39_407_9, L40_407_9), ~left_apart_point(A39_407_9, reverse_line(L40_407_9))
% 293.42/42.92
% 293.42/42.92 [11322] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.92 -> [11481] ~(left_convergent_lines(L41_78_10, M42_78_10) | left_convergent_lines(L41_78_10, reverse_line(M42_78_10)))
% 293.42/42.92
% 293.42/42.92 [11481] ALPHA_NOT_OR : ~(left_convergent_lines(L41_78_10, M42_78_10) | left_convergent_lines(L41_78_10, reverse_line(M42_78_10)))
% 293.42/42.92 -> [11486] ~left_convergent_lines(L41_78_10, M42_78_10), ~left_convergent_lines(L41_78_10, reverse_line(M42_78_10))
% 293.42/42.92
% 293.42/42.92 [11486] CLOSURE : ~left_convergent_lines(L41_78_10, M42_78_10)
% 293.42/42.92
% 293.42/42.92 [11149] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [11361] ~(left_apart_point(A39_419_9, L40_419_9) | left_apart_point(A39_419_9, reverse_line(L40_419_9)))
% 293.42/42.92
% 293.42/42.92 [11361] ALPHA_NOT_OR : ~(left_apart_point(A39_419_9, L40_419_9) | left_apart_point(A39_419_9, reverse_line(L40_419_9)))
% 293.42/42.92 -> [11363] ~left_apart_point(A39_419_9, L40_419_9), ~left_apart_point(A39_419_9, reverse_line(L40_419_9))
% 293.42/42.92
% 293.42/42.92 [11363] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.92 -> [12161] ~(left_convergent_lines(L41_82_10, M42_82_10) | left_convergent_lines(L41_82_10, reverse_line(M42_82_10)))
% 293.42/42.92
% 293.42/42.92 [12161] ALPHA_NOT_OR : ~(left_convergent_lines(L41_82_10, M42_82_10) | left_convergent_lines(L41_82_10, reverse_line(M42_82_10)))
% 293.42/42.92 -> [12165] ~left_convergent_lines(L41_82_10, M42_82_10), ~left_convergent_lines(L41_82_10, reverse_line(M42_82_10))
% 293.42/42.92
% 293.42/42.92 [12165] CLOSURE : ~left_convergent_lines(L41_82_10, M42_82_10)
% 293.42/42.92
% 293.42/42.92 [597] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.42/42.92 -> [753] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.92 -> [754] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.92
% 293.42/42.92 [754] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.92 -> [758] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.92
% 293.42/42.92 [758] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.92 -> [759] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.42/42.92 -> [760] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [759] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.92 -> [2068] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.92
% 293.42/42.92 [2068] 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))))
% 293.42/42.92 -> [2121] (distinct_points(skolem_A8080, skolem_B8181) => (distinct_points(skolem_A8080, skolem_B8181) | distinct_points(skolem_B8181, skolem_B8181)))
% 293.42/42.92
% 293.42/42.92 [2121] BETA_IMPLY : (distinct_points(skolem_A8080, skolem_B8181) => (distinct_points(skolem_A8080, skolem_B8181) | distinct_points(skolem_B8181, skolem_B8181)))
% 293.42/42.92 -> [2124] ~distinct_points(skolem_A8080, skolem_B8181)
% 293.42/42.92 -> [2125] (distinct_points(skolem_A8080, skolem_B8181) | distinct_points(skolem_B8181, skolem_B8181))
% 293.42/42.92
% 293.42/42.92 [2124] CLOSURE : ~distinct_points(skolem_A8080, skolem_B8181)
% 293.42/42.92
% 293.42/42.92 [2125] BETA_OR : (distinct_points(skolem_A8080, skolem_B8181) | distinct_points(skolem_B8181, skolem_B8181))
% 293.42/42.92 -> [4818] distinct_points(skolem_A8080, skolem_B8181)
% 293.42/42.92 -> [4819] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.92
% 293.42/42.92 [4819] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.92
% 293.42/42.92 [4818] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.92 -> [6435] ~distinct_lines(N27_210_3, N27_210_3)
% 293.42/42.92
% 293.42/42.92 [6435] 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))))
% 293.42/42.92 -> [6691] (distinct_lines(N27_210_3, N27_210_3) => (distinct_lines(N27_210_3, N27_210_3) | distinct_lines(N27_210_3, N27_210_3)))
% 293.42/42.92
% 293.42/42.92 [6691] BETA_IMPLY : (distinct_lines(N27_210_3, N27_210_3) => (distinct_lines(N27_210_3, N27_210_3) | distinct_lines(N27_210_3, N27_210_3)))
% 293.42/42.92 -> [6692] ~distinct_lines(N27_210_3, N27_210_3)
% 293.42/42.92 -> [6693] (distinct_lines(N27_210_3, N27_210_3) | distinct_lines(N27_210_3, N27_210_3))
% 293.42/42.92
% 293.42/42.92 [6693] BETA_OR : (distinct_lines(N27_210_3, N27_210_3) | distinct_lines(N27_210_3, N27_210_3))
% 293.42/42.92 -> [6697] distinct_lines(N27_210_3, N27_210_3)
% 293.42/42.92 -> [6698] distinct_lines(N27_210_3, N27_210_3)
% 293.42/42.92
% 293.42/42.92 [6698] CLOSURE : distinct_lines(N27_210_3, N27_210_3)
% 293.42/42.92
% 293.42/42.92 [6697] CLOSURE : distinct_lines(N27_210_3, N27_210_3)
% 293.42/42.92
% 293.42/42.92 [6692] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.92 -> [6924] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [6924] 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))))
% 293.42/42.92 -> [6999] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878)))
% 293.42/42.92
% 293.42/42.92 [6999] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878)))
% 293.42/42.92 -> [7000] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.92 -> [7001] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [7000] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.92
% 293.42/42.92 [7001] 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)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878))
% 293.42/42.92 -> [8010] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92 -> [8011] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [8010] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [8011] 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))))))
% 293.42/42.92 -> [11082] ((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)))))
% 293.42/42.92
% 293.42/42.92 [11082] 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)))))
% 293.42/42.92 -> [11083] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [11084] ((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))))
% 293.42/42.92
% 293.42/42.92 [11083] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [11099] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92 -> [11100] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [11100] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [11099] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92
% 293.42/42.92 [11084] 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))))
% 293.42/42.92 -> [11401] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [11402] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.92
% 293.42/42.92 [11401] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [11415] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [11415] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [11402] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [11409] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [11409] 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)))))
% 293.42/42.92 -> [11451] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.92
% 293.42/42.92 [11451] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.92 -> [11454] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.92 -> [11455] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.92
% 293.42/42.92 [11454] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.92 -> [11467] ~line(skolem_M7878)
% 293.42/42.92 -> [11468] ~line(skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [11467] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [11568] ((unequally_directed_lines(skolem_N7979, M38_237_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_237_8))) => (left_convergent_lines(skolem_N7979, M38_237_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_237_8))))
% 293.42/42.92
% 293.42/42.92 [11568] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_237_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_237_8))) => (left_convergent_lines(skolem_N7979, M38_237_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_237_8))))
% 293.42/42.92 -> [11569] ~(unequally_directed_lines(skolem_N7979, M38_237_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_237_8)))
% 293.42/42.92 -> [11570] (left_convergent_lines(skolem_N7979, M38_237_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_237_8)))
% 293.42/42.92
% 293.42/42.92 [11570] BETA_OR : (left_convergent_lines(skolem_N7979, M38_237_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_237_8)))
% 293.42/42.92 -> [11577] left_convergent_lines(skolem_N7979, M38_237_8)
% 293.42/42.92 -> [11578] left_convergent_lines(skolem_N7979, reverse_line(M38_237_8))
% 293.42/42.92
% 293.42/42.92 [11578] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [11695] ~(left_apart_point(A39_434_9, L40_434_9) | left_apart_point(A39_434_9, reverse_line(L40_434_9)))
% 293.42/42.92
% 293.42/42.92 [11695] ALPHA_NOT_OR : ~(left_apart_point(A39_434_9, L40_434_9) | left_apart_point(A39_434_9, reverse_line(L40_434_9)))
% 293.42/42.92 -> [11697] ~left_apart_point(A39_434_9, L40_434_9), ~left_apart_point(A39_434_9, reverse_line(L40_434_9))
% 293.42/42.92
% 293.42/42.92 [11697] CLOSURE : ~left_apart_point(A39_434_9, L40_434_9)
% 293.42/42.92
% 293.42/42.92 [11577] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [11734] ~(left_apart_point(A39_439_9, L40_439_9) | left_apart_point(A39_439_9, reverse_line(L40_439_9)))
% 293.42/42.92
% 293.42/42.92 [11734] ALPHA_NOT_OR : ~(left_apart_point(A39_439_9, L40_439_9) | left_apart_point(A39_439_9, reverse_line(L40_439_9)))
% 293.42/42.92 -> [11735] ~left_apart_point(A39_439_9, L40_439_9), ~left_apart_point(A39_439_9, reverse_line(L40_439_9))
% 293.42/42.92
% 293.42/42.92 [11735] CLOSURE : ~left_apart_point(A39_439_9, L40_439_9)
% 293.42/42.92
% 293.42/42.92 [11569] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_237_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_237_8)))
% 293.42/42.92 -> [11592] ~unequally_directed_lines(skolem_N7979, M38_237_8)
% 293.42/42.92 -> [11593] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_237_8))
% 293.42/42.92
% 293.42/42.92 [11593] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_237_8))
% 293.42/42.92
% 293.42/42.92 [11592] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_237_8)
% 293.42/42.92
% 293.42/42.92 [11468] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [11557] ((unequally_directed_lines(skolem_N7979, M38_236_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_236_8))) => (left_convergent_lines(skolem_N7979, M38_236_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_236_8))))
% 293.42/42.92
% 293.42/42.92 [11557] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_236_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_236_8))) => (left_convergent_lines(skolem_N7979, M38_236_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_236_8))))
% 293.42/42.92 -> [11558] ~(unequally_directed_lines(skolem_N7979, M38_236_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_236_8)))
% 293.42/42.92 -> [11559] (left_convergent_lines(skolem_N7979, M38_236_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_236_8)))
% 293.42/42.92
% 293.42/42.92 [11559] BETA_OR : (left_convergent_lines(skolem_N7979, M38_236_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_236_8)))
% 293.42/42.92 -> [11960] left_convergent_lines(skolem_N7979, M38_236_8)
% 293.42/42.92 -> [11961] left_convergent_lines(skolem_N7979, reverse_line(M38_236_8))
% 293.42/42.92
% 293.42/42.92 [11961] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [12025] ~(left_apart_point(A39_487_9, L40_487_9) | left_apart_point(A39_487_9, reverse_line(L40_487_9)))
% 293.42/42.92
% 293.42/42.92 [12025] ALPHA_NOT_OR : ~(left_apart_point(A39_487_9, L40_487_9) | left_apart_point(A39_487_9, reverse_line(L40_487_9)))
% 293.42/42.92 -> [12026] ~left_apart_point(A39_487_9, L40_487_9), ~left_apart_point(A39_487_9, reverse_line(L40_487_9))
% 293.42/42.92
% 293.42/42.92 [12026] CLOSURE : ~left_apart_point(A39_487_9, L40_487_9)
% 293.42/42.92
% 293.42/42.92 [11960] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [12055] ~(left_apart_point(A39_489_9, L40_489_9) | left_apart_point(A39_489_9, reverse_line(L40_489_9)))
% 293.42/42.92
% 293.42/42.92 [12055] ALPHA_NOT_OR : ~(left_apart_point(A39_489_9, L40_489_9) | left_apart_point(A39_489_9, reverse_line(L40_489_9)))
% 293.42/42.92 -> [12056] ~left_apart_point(A39_489_9, L40_489_9), ~left_apart_point(A39_489_9, reverse_line(L40_489_9))
% 293.42/42.92
% 293.42/42.92 [12056] CLOSURE : ~left_apart_point(A39_489_9, L40_489_9)
% 293.42/42.92
% 293.42/42.92 [11558] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_236_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_236_8)))
% 293.42/42.92 -> [11976] ~unequally_directed_lines(skolem_N7979, M38_236_8)
% 293.42/42.92 -> [11977] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_236_8))
% 293.42/42.92
% 293.42/42.92 [11977] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_236_8))
% 293.42/42.92
% 293.42/42.92 [11976] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_236_8)
% 293.42/42.92
% 293.42/42.92 [11455] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [11460] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92 -> [11461] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [11460] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [11461] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [12038] ((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))))
% 293.42/42.92
% 293.42/42.92 [12038] 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))))
% 293.42/42.92 -> [12042] ~(unequally_directed_lines(skolem_N7979, M38_256_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_256_8)))
% 293.42/42.92 -> [12043] (left_convergent_lines(skolem_N7979, M38_256_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_256_8)))
% 293.42/42.92
% 293.42/42.92 [12043] BETA_OR : (left_convergent_lines(skolem_N7979, M38_256_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_256_8)))
% 293.42/42.92 -> [12044] left_convergent_lines(skolem_N7979, M38_256_8)
% 293.42/42.92 -> [12045] left_convergent_lines(skolem_N7979, reverse_line(M38_256_8))
% 293.42/42.92
% 293.42/42.92 [12044] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [12113] ~(left_apart_point(A39_500_9, L40_500_9) | left_apart_point(A39_500_9, reverse_line(L40_500_9)))
% 293.42/42.92
% 293.42/42.92 [12113] ALPHA_NOT_OR : ~(left_apart_point(A39_500_9, L40_500_9) | left_apart_point(A39_500_9, reverse_line(L40_500_9)))
% 293.42/42.92 -> [12117] ~left_apart_point(A39_500_9, L40_500_9), ~left_apart_point(A39_500_9, reverse_line(L40_500_9))
% 293.42/42.92
% 293.42/42.92 [12117] CLOSURE : ~left_apart_point(A39_500_9, L40_500_9)
% 293.42/42.92
% 293.42/42.92 [12045] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [12364] ~(left_apart_point(A39_514_9, L40_514_9) | left_apart_point(A39_514_9, reverse_line(L40_514_9)))
% 293.42/42.92
% 293.42/42.92 [12364] ALPHA_NOT_OR : ~(left_apart_point(A39_514_9, L40_514_9) | left_apart_point(A39_514_9, reverse_line(L40_514_9)))
% 293.42/42.92 -> [12367] ~left_apart_point(A39_514_9, L40_514_9), ~left_apart_point(A39_514_9, reverse_line(L40_514_9))
% 293.42/42.92
% 293.42/42.92 [12367] CLOSURE : ~left_apart_point(A39_514_9, L40_514_9)
% 293.42/42.92
% 293.42/42.92 [12042] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_256_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_256_8)))
% 293.42/42.92 -> [12079] ~unequally_directed_lines(skolem_N7979, M38_256_8)
% 293.42/42.92 -> [12080] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_256_8))
% 293.42/42.92
% 293.42/42.92 [12080] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_256_8))
% 293.42/42.92
% 293.42/42.92 [12079] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_256_8)
% 293.42/42.92
% 293.42/42.92 [760] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.92 -> [2520] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.92
% 293.42/42.92 [2520] 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))))
% 293.42/42.92 -> [2670] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.92
% 293.42/42.92 [2670] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.92 -> [2671] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.92 -> [2672] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.92
% 293.42/42.92 [2671] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.92
% 293.42/42.92 [2672] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.92 -> [2988] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.92 -> [2989] distinct_points(skolem_C8282, skolem_B8181)
% 293.42/42.92
% 293.42/42.92 [2988] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.92
% 293.42/42.92 [2989] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.92 -> [3667] ~distinct_lines(N27_69_3, N27_69_3)
% 293.42/42.92
% 293.42/42.92 [3667] 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))))
% 293.42/42.92 -> [3691] (distinct_lines(N27_69_3, N27_69_3) => (distinct_lines(N27_69_3, N27_69_3) | distinct_lines(N27_69_3, N27_69_3)))
% 293.42/42.92
% 293.42/42.92 [3691] 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)))
% 293.42/42.92 -> [3692] ~distinct_lines(N27_69_3, N27_69_3)
% 293.42/42.92 -> [3693] (distinct_lines(N27_69_3, N27_69_3) | distinct_lines(N27_69_3, N27_69_3))
% 293.42/42.92
% 293.42/42.92 [3693] BETA_OR : (distinct_lines(N27_69_3, N27_69_3) | distinct_lines(N27_69_3, N27_69_3))
% 293.42/42.92 -> [3700] distinct_lines(N27_69_3, N27_69_3)
% 293.42/42.92 -> [3701] distinct_lines(N27_69_3, N27_69_3)
% 293.42/42.92
% 293.42/42.92 [3701] CLOSURE : distinct_lines(N27_69_3, N27_69_3)
% 293.42/42.92
% 293.42/42.92 [3700] CLOSURE : distinct_lines(N27_69_3, N27_69_3)
% 293.42/42.92
% 293.42/42.92 [3692] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.92 -> [3777] ~unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.92
% 293.42/42.92 [3777] 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))))
% 293.42/42.92 -> [3821] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.92
% 293.42/42.92 [3821] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.92 -> [3824] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.92 -> [3825] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.92
% 293.42/42.92 [3824] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.92
% 293.42/42.92 [3825] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.92 -> [5849] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.92 -> [5850] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.92
% 293.42/42.92 [5850] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.92
% 293.42/42.92 [5849] 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))))))
% 293.42/42.92 -> [6408] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_42_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_42_6))) | (unequally_directed_lines(skolem_N7979, N34_42_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_42_6)))))
% 293.42/42.92
% 293.42/42.92 [6408] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_42_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_42_6))) | (unequally_directed_lines(skolem_N7979, N34_42_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_42_6)))))
% 293.42/42.92 -> [6410] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [6411] ((unequally_directed_lines(skolem_M7878, N34_42_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_42_6))) | (unequally_directed_lines(skolem_N7979, N34_42_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_42_6))))
% 293.42/42.92
% 293.42/42.92 [6410] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.92 -> [6456] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92 -> [6457] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [6457] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.92
% 293.42/42.92 [6456] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.92
% 293.42/42.92 [6411] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_42_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_42_6))) | (unequally_directed_lines(skolem_N7979, N34_42_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_42_6))))
% 293.42/42.92 -> [12450] (unequally_directed_lines(skolem_M7878, N34_42_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_42_6)))
% 293.42/42.92 -> [12451] (unequally_directed_lines(skolem_N7979, N34_42_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_42_6)))
% 293.42/42.92
% 293.42/42.92 [12451] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_42_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_42_6)))
% 293.42/42.92 -> [12452] unequally_directed_lines(skolem_N7979, N34_42_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_42_6))
% 293.42/42.92
% 293.42/42.92 [12452] 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)))))
% 293.42/42.92 -> [12485] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.92
% 293.42/42.92 [12485] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.92 -> [12488] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.92 -> [12489] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.92
% 293.42/42.92 [12489] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.92 -> [12492] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.92 -> [12493] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.92
% 293.42/42.92 [12492] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.92
% 293.42/42.92 [12493] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [12598] ((unequally_directed_lines(skolem_N7979, M38_287_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_287_8))) => (left_convergent_lines(skolem_N7979, M38_287_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_287_8))))
% 293.42/42.92
% 293.42/42.92 [12598] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_287_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_287_8))) => (left_convergent_lines(skolem_N7979, M38_287_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_287_8))))
% 293.42/42.92 -> [12602] ~(unequally_directed_lines(skolem_N7979, M38_287_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_287_8)))
% 293.42/42.92 -> [12603] (left_convergent_lines(skolem_N7979, M38_287_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_287_8)))
% 293.42/42.92
% 293.42/42.92 [12603] BETA_OR : (left_convergent_lines(skolem_N7979, M38_287_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_287_8)))
% 293.42/42.92 -> [12606] left_convergent_lines(skolem_N7979, M38_287_8)
% 293.42/42.92 -> [12607] left_convergent_lines(skolem_N7979, reverse_line(M38_287_8))
% 293.42/42.92
% 293.42/42.92 [12607] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [12769] ~(left_apart_point(A39_547_9, L40_547_9) | left_apart_point(A39_547_9, reverse_line(L40_547_9)))
% 293.42/42.92
% 293.42/42.92 [12769] ALPHA_NOT_OR : ~(left_apart_point(A39_547_9, L40_547_9) | left_apart_point(A39_547_9, reverse_line(L40_547_9)))
% 293.42/42.92 -> [12770] ~left_apart_point(A39_547_9, L40_547_9), ~left_apart_point(A39_547_9, reverse_line(L40_547_9))
% 293.42/42.92
% 293.42/42.92 [12770] CLOSURE : ~left_apart_point(A39_547_9, L40_547_9)
% 293.42/42.92
% 293.42/42.92 [12606] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [12805] ~(left_apart_point(A39_552_9, L40_552_9) | left_apart_point(A39_552_9, reverse_line(L40_552_9)))
% 293.42/42.92
% 293.42/42.92 [12805] ALPHA_NOT_OR : ~(left_apart_point(A39_552_9, L40_552_9) | left_apart_point(A39_552_9, reverse_line(L40_552_9)))
% 293.42/42.92 -> [12806] ~left_apart_point(A39_552_9, L40_552_9), ~left_apart_point(A39_552_9, reverse_line(L40_552_9))
% 293.42/42.92
% 293.42/42.92 [12806] CLOSURE : ~left_apart_point(A39_552_9, L40_552_9)
% 293.42/42.92
% 293.42/42.92 [12602] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_287_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_287_8)))
% 293.42/42.92 -> [12663] ~unequally_directed_lines(skolem_N7979, M38_287_8)
% 293.42/42.92 -> [12664] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_287_8))
% 293.42/42.92
% 293.42/42.92 [12664] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_287_8))
% 293.42/42.92
% 293.42/42.92 [12663] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_287_8)
% 293.42/42.92
% 293.42/42.92 [12488] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.92 -> [12515] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.92 -> [12516] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.92
% 293.42/42.92 [12516] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [12584] ((unequally_directed_lines(skolem_N7979, M38_285_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_285_8))) => (left_convergent_lines(skolem_N7979, M38_285_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_285_8))))
% 293.42/42.92
% 293.42/42.92 [12584] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_285_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_285_8))) => (left_convergent_lines(skolem_N7979, M38_285_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_285_8))))
% 293.42/42.92 -> [12587] ~(unequally_directed_lines(skolem_N7979, M38_285_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_285_8)))
% 293.42/42.92 -> [12588] (left_convergent_lines(skolem_N7979, M38_285_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_285_8)))
% 293.42/42.92
% 293.42/42.92 [12587] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_285_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_285_8)))
% 293.42/42.92 -> [12651] ~unequally_directed_lines(skolem_N7979, M38_285_8)
% 293.42/42.92 -> [12652] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_285_8))
% 293.42/42.92
% 293.42/42.92 [12652] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_285_8))
% 293.42/42.92
% 293.42/42.92 [12651] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_285_8)
% 293.42/42.92
% 293.42/42.92 [12588] BETA_OR : (left_convergent_lines(skolem_N7979, M38_285_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_285_8)))
% 293.42/42.92 -> [12593] left_convergent_lines(skolem_N7979, M38_285_8)
% 293.42/42.92 -> [12594] left_convergent_lines(skolem_N7979, reverse_line(M38_285_8))
% 293.42/42.92
% 293.42/42.92 [12593] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [12801] ~(left_apart_point(A39_550_9, L40_550_9) | left_apart_point(A39_550_9, reverse_line(L40_550_9)))
% 293.42/42.92
% 293.42/42.92 [12801] ALPHA_NOT_OR : ~(left_apart_point(A39_550_9, L40_550_9) | left_apart_point(A39_550_9, reverse_line(L40_550_9)))
% 293.42/42.92 -> [12803] ~left_apart_point(A39_550_9, L40_550_9), ~left_apart_point(A39_550_9, reverse_line(L40_550_9))
% 293.42/42.92
% 293.42/42.92 [12803] CLOSURE : ~left_apart_point(A39_550_9, L40_550_9)
% 293.42/42.92
% 293.42/42.92 [12594] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [12765] ~(left_apart_point(A39_546_9, L40_546_9) | left_apart_point(A39_546_9, reverse_line(L40_546_9)))
% 293.42/42.92
% 293.42/42.92 [12765] ALPHA_NOT_OR : ~(left_apart_point(A39_546_9, L40_546_9) | left_apart_point(A39_546_9, reverse_line(L40_546_9)))
% 293.42/42.92 -> [12766] ~left_apart_point(A39_546_9, L40_546_9), ~left_apart_point(A39_546_9, reverse_line(L40_546_9))
% 293.42/42.92
% 293.42/42.92 [12766] CLOSURE : ~left_apart_point(A39_546_9, L40_546_9)
% 293.42/42.92
% 293.42/42.92 [12515] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [12721] ((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))))
% 293.42/42.92
% 293.42/42.92 [12721] 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))))
% 293.42/42.92 -> [12724] ~(unequally_directed_lines(skolem_N7979, M38_297_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_297_8)))
% 293.42/42.92 -> [12725] (left_convergent_lines(skolem_N7979, M38_297_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_297_8)))
% 293.42/42.92
% 293.42/42.92 [12724] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_297_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_297_8)))
% 293.42/42.92 -> [12747] ~unequally_directed_lines(skolem_N7979, M38_297_8)
% 293.42/42.92 -> [12748] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_297_8))
% 293.42/42.92
% 293.42/42.92 [12748] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_297_8))
% 293.42/42.92
% 293.42/42.92 [12747] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_297_8)
% 293.42/42.92
% 293.42/42.92 [12725] BETA_OR : (left_convergent_lines(skolem_N7979, M38_297_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_297_8)))
% 293.42/42.92 -> [12726] left_convergent_lines(skolem_N7979, M38_297_8)
% 293.42/42.92 -> [12727] left_convergent_lines(skolem_N7979, reverse_line(M38_297_8))
% 293.42/42.92
% 293.42/42.92 [12727] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [12837] ~(left_apart_point(A39_560_9, L40_560_9) | left_apart_point(A39_560_9, reverse_line(L40_560_9)))
% 293.42/42.92
% 293.42/42.92 [12837] ALPHA_NOT_OR : ~(left_apart_point(A39_560_9, L40_560_9) | left_apart_point(A39_560_9, reverse_line(L40_560_9)))
% 293.42/42.92 -> [12838] ~left_apart_point(A39_560_9, L40_560_9), ~left_apart_point(A39_560_9, reverse_line(L40_560_9))
% 293.42/42.92
% 293.42/42.92 [12838] CLOSURE : ~left_apart_point(A39_560_9, L40_560_9)
% 293.42/42.92
% 293.42/42.92 [12726] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [12870] ~(left_apart_point(A39_565_9, L40_565_9) | left_apart_point(A39_565_9, reverse_line(L40_565_9)))
% 293.42/42.92
% 293.42/42.92 [12870] ALPHA_NOT_OR : ~(left_apart_point(A39_565_9, L40_565_9) | left_apart_point(A39_565_9, reverse_line(L40_565_9)))
% 293.42/42.92 -> [12873] ~left_apart_point(A39_565_9, L40_565_9), ~left_apart_point(A39_565_9, reverse_line(L40_565_9))
% 293.42/42.92
% 293.42/42.92 [12873] CLOSURE : ~left_apart_point(A39_565_9, L40_565_9)
% 293.42/42.92
% 293.42/42.92 [12450] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_42_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_42_6)))
% 293.42/42.92 -> [12460] unequally_directed_lines(skolem_M7878, N34_42_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_42_6))
% 293.42/42.92
% 293.42/42.92 [12460] 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)))))
% 293.42/42.92 -> [12502] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.92
% 293.42/42.92 [12502] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.92 -> [12507] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.92 -> [12508] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.92
% 293.42/42.92 [12507] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.92 -> [12521] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.92 -> [12522] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.92
% 293.42/42.92 [12521] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [12675] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.92
% 293.42/42.92 [12675] 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))))
% 293.42/42.92 -> [12678] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [12679] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92
% 293.42/42.92 [12679] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [12687] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.92 -> [12688] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [12687] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [12842] ~(left_apart_point(A39_561_9, L40_561_9) | left_apart_point(A39_561_9, reverse_line(L40_561_9)))
% 293.42/42.92
% 293.42/42.92 [12842] ALPHA_NOT_OR : ~(left_apart_point(A39_561_9, L40_561_9) | left_apart_point(A39_561_9, reverse_line(L40_561_9)))
% 293.42/42.92 -> [12845] ~left_apart_point(A39_561_9, L40_561_9), ~left_apart_point(A39_561_9, reverse_line(L40_561_9))
% 293.42/42.92
% 293.42/42.92 [12845] CLOSURE : ~left_apart_point(A39_561_9, L40_561_9)
% 293.42/42.92
% 293.42/42.92 [12688] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.92 -> [12846] ~(left_apart_point(A39_563_9, L40_563_9) | left_apart_point(A39_563_9, reverse_line(L40_563_9)))
% 293.42/42.92
% 293.42/42.92 [12846] ALPHA_NOT_OR : ~(left_apart_point(A39_563_9, L40_563_9) | left_apart_point(A39_563_9, reverse_line(L40_563_9)))
% 293.42/42.92 -> [12847] ~left_apart_point(A39_563_9, L40_563_9), ~left_apart_point(A39_563_9, reverse_line(L40_563_9))
% 293.42/42.92
% 293.42/42.92 [12847] CLOSURE : ~left_apart_point(A39_563_9, L40_563_9)
% 293.42/42.92
% 293.42/42.92 [12678] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.92 -> [12736] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.92 -> [12737] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [12737] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.92
% 293.42/42.92 [12736] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.92
% 293.42/42.92 [12522] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.92 -> [12621] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.92
% 293.42/42.92 [12621] 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))))
% 293.42/42.93 -> [12622] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [12623] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93
% 293.42/42.93 [12623] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [12629] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93 -> [12630] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [12629] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [12817] ~(left_apart_point(A39_557_9, L40_557_9) | left_apart_point(A39_557_9, reverse_line(L40_557_9)))
% 293.42/42.93
% 293.42/42.93 [12817] ALPHA_NOT_OR : ~(left_apart_point(A39_557_9, L40_557_9) | left_apart_point(A39_557_9, reverse_line(L40_557_9)))
% 293.42/42.93 -> [12818] ~left_apart_point(A39_557_9, L40_557_9), ~left_apart_point(A39_557_9, reverse_line(L40_557_9))
% 293.42/42.93
% 293.42/42.93 [12818] CLOSURE : ~left_apart_point(A39_557_9, L40_557_9)
% 293.42/42.93
% 293.42/42.93 [12630] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [12819] ~(left_apart_point(A39_558_9, L40_558_9) | left_apart_point(A39_558_9, reverse_line(L40_558_9)))
% 293.42/42.93
% 293.42/42.93 [12819] ALPHA_NOT_OR : ~(left_apart_point(A39_558_9, L40_558_9) | left_apart_point(A39_558_9, reverse_line(L40_558_9)))
% 293.42/42.93 -> [12821] ~left_apart_point(A39_558_9, L40_558_9), ~left_apart_point(A39_558_9, reverse_line(L40_558_9))
% 293.42/42.93
% 293.42/42.93 [12821] CLOSURE : ~left_apart_point(A39_558_9, L40_558_9)
% 293.42/42.93
% 293.42/42.93 [12622] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [12698] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93 -> [12699] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [12699] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [12698] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [12508] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.93 -> [12509] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93 -> [12510] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.93
% 293.42/42.93 [12509] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93
% 293.42/42.93 [12510] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [12637] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.93
% 293.42/42.93 [12637] 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))))
% 293.42/42.93 -> [12639] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [12640] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93
% 293.42/42.93 [12640] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [12641] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93 -> [12642] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [12642] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [12792] ~(left_apart_point(A39_549_9, L40_549_9) | left_apart_point(A39_549_9, reverse_line(L40_549_9)))
% 293.42/42.93
% 293.42/42.93 [12792] ALPHA_NOT_OR : ~(left_apart_point(A39_549_9, L40_549_9) | left_apart_point(A39_549_9, reverse_line(L40_549_9)))
% 293.42/42.93 -> [12795] ~left_apart_point(A39_549_9, L40_549_9), ~left_apart_point(A39_549_9, reverse_line(L40_549_9))
% 293.42/42.93
% 293.42/42.93 [12795] CLOSURE : ~left_apart_point(A39_549_9, L40_549_9)
% 293.42/42.93
% 293.42/42.93 [12641] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [12826] ~(left_apart_point(A39_559_9, L40_559_9) | left_apart_point(A39_559_9, reverse_line(L40_559_9)))
% 293.42/42.93
% 293.42/42.93 [12826] ALPHA_NOT_OR : ~(left_apart_point(A39_559_9, L40_559_9) | left_apart_point(A39_559_9, reverse_line(L40_559_9)))
% 293.42/42.93 -> [12829] ~left_apart_point(A39_559_9, L40_559_9), ~left_apart_point(A39_559_9, reverse_line(L40_559_9))
% 293.42/42.93
% 293.42/42.93 [12829] CLOSURE : ~left_apart_point(A39_559_9, L40_559_9)
% 293.42/42.93
% 293.42/42.93 [12639] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [12712] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93 -> [12713] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [12713] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [12712] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [753] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.93 -> [800] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))
% 293.42/42.93 -> [801] ~~(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)))
% 293.42/42.93
% 293.42/42.93 [800] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.93 -> [2460] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.93
% 293.42/42.93 [2460] 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))))
% 293.42/42.93 -> [3894] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.93
% 293.42/42.93 [3894] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.93 -> [3895] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.93 -> [3896] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.93
% 293.42/42.93 [3895] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.93
% 293.42/42.93 [3896] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.93 -> [5780] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.93 -> [5781] distinct_points(skolem_C8282, skolem_B8181)
% 293.42/42.93
% 293.42/42.93 [5780] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.93
% 293.42/42.93 [5781] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.93 -> [6329] ~distinct_lines(N27_200_3, N27_200_3)
% 293.42/42.93
% 293.42/42.93 [6329] 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))))
% 293.42/42.93 -> [6380] (distinct_lines(N27_200_3, N27_200_3) => (distinct_lines(N27_200_3, N27_200_3) | distinct_lines(N27_200_3, N27_200_3)))
% 293.42/42.93
% 293.42/42.93 [6380] BETA_IMPLY : (distinct_lines(N27_200_3, N27_200_3) => (distinct_lines(N27_200_3, N27_200_3) | distinct_lines(N27_200_3, N27_200_3)))
% 293.42/42.93 -> [6382] ~distinct_lines(N27_200_3, N27_200_3)
% 293.42/42.93 -> [6383] (distinct_lines(N27_200_3, N27_200_3) | distinct_lines(N27_200_3, N27_200_3))
% 293.42/42.93
% 293.42/42.93 [6383] BETA_OR : (distinct_lines(N27_200_3, N27_200_3) | distinct_lines(N27_200_3, N27_200_3))
% 293.42/42.93 -> [6384] distinct_lines(N27_200_3, N27_200_3)
% 293.42/42.93 -> [6385] distinct_lines(N27_200_3, N27_200_3)
% 293.42/42.93
% 293.42/42.93 [6384] CLOSURE : distinct_lines(N27_200_3, N27_200_3)
% 293.42/42.93
% 293.42/42.93 [6385] CLOSURE : distinct_lines(N27_200_3, N27_200_3)
% 293.42/42.93
% 293.42/42.93 [6382] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.93 -> [7403] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [7403] 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))))
% 293.42/42.93 -> [7667] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878)))
% 293.42/42.93
% 293.42/42.93 [7667] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878)))
% 293.42/42.93 -> [7668] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93 -> [7669] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [7668] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93
% 293.42/42.93 [7669] 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)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878))
% 293.42/42.93 -> [10315] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.93 -> [10316] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [10315] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [10316] 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))))))
% 293.42/42.93 -> [10695] ((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)))))
% 293.42/42.93
% 293.42/42.93 [10695] 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)))))
% 293.42/42.93 -> [10697] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [10698] ((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))))
% 293.42/42.93
% 293.42/42.93 [10697] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [10722] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93 -> [10723] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [10723] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [10722] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93
% 293.42/42.93 [10698] 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))))
% 293.42/42.93 -> [15196] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [15197] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.93
% 293.42/42.93 [15196] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [15326] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [15326] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [15197] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [15203] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [15203] 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)))))
% 293.42/42.93 -> [16350] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.93
% 293.42/42.93 [16350] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.93 -> [16351] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.93 -> [16352] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.93
% 293.42/42.93 [16352] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [16358] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.93 -> [16359] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [16358] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [16359] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [16985] ((unequally_directed_lines(skolem_N7979, M38_556_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_556_8))) => (left_convergent_lines(skolem_N7979, M38_556_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_556_8))))
% 293.42/42.93
% 293.42/42.93 [16985] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_556_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_556_8))) => (left_convergent_lines(skolem_N7979, M38_556_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_556_8))))
% 293.42/42.93 -> [16989] ~(unequally_directed_lines(skolem_N7979, M38_556_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_556_8)))
% 293.42/42.93 -> [16990] (left_convergent_lines(skolem_N7979, M38_556_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_556_8)))
% 293.42/42.93
% 293.42/42.93 [16989] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_556_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_556_8)))
% 293.42/42.93 -> [17075] ~unequally_directed_lines(skolem_N7979, M38_556_8)
% 293.42/42.93 -> [17076] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_556_8))
% 293.42/42.93
% 293.42/42.93 [17076] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_556_8))
% 293.42/42.93
% 293.42/42.93 [17075] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_556_8)
% 293.42/42.93
% 293.42/42.93 [16990] BETA_OR : (left_convergent_lines(skolem_N7979, M38_556_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_556_8)))
% 293.42/42.93 -> [16995] left_convergent_lines(skolem_N7979, M38_556_8)
% 293.42/42.93 -> [16996] left_convergent_lines(skolem_N7979, reverse_line(M38_556_8))
% 293.42/42.93
% 293.42/42.93 [16996] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [17429] ~(left_apart_point(A39_1090_9, L40_1090_9) | left_apart_point(A39_1090_9, reverse_line(L40_1090_9)))
% 293.42/42.93
% 293.42/42.93 [17429] ALPHA_NOT_OR : ~(left_apart_point(A39_1090_9, L40_1090_9) | left_apart_point(A39_1090_9, reverse_line(L40_1090_9)))
% 293.42/42.93 -> [17431] ~left_apart_point(A39_1090_9, L40_1090_9), ~left_apart_point(A39_1090_9, reverse_line(L40_1090_9))
% 293.42/42.93
% 293.42/42.93 [17431] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.93 -> [17870] ~(left_convergent_lines(L41_139_10, M42_139_10) | left_convergent_lines(L41_139_10, reverse_line(M42_139_10)))
% 293.42/42.93
% 293.42/42.93 [17870] ALPHA_NOT_OR : ~(left_convergent_lines(L41_139_10, M42_139_10) | left_convergent_lines(L41_139_10, reverse_line(M42_139_10)))
% 293.42/42.93 -> [17874] ~left_convergent_lines(L41_139_10, M42_139_10), ~left_convergent_lines(L41_139_10, reverse_line(M42_139_10))
% 293.42/42.93
% 293.42/42.93 [17874] CLOSURE : ~left_convergent_lines(L41_139_10, M42_139_10)
% 293.42/42.93
% 293.42/42.93 [16995] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [17527] ~(left_apart_point(A39_1109_9, L40_1109_9) | left_apart_point(A39_1109_9, reverse_line(L40_1109_9)))
% 293.42/42.93
% 293.42/42.93 [17527] ALPHA_NOT_OR : ~(left_apart_point(A39_1109_9, L40_1109_9) | left_apart_point(A39_1109_9, reverse_line(L40_1109_9)))
% 293.42/42.93 -> [17531] ~left_apart_point(A39_1109_9, L40_1109_9), ~left_apart_point(A39_1109_9, reverse_line(L40_1109_9))
% 293.42/42.93
% 293.42/42.93 [17531] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.93 -> [17939] ~(left_convergent_lines(L41_143_10, M42_143_10) | left_convergent_lines(L41_143_10, reverse_line(M42_143_10)))
% 293.42/42.93
% 293.42/42.93 [17939] ALPHA_NOT_OR : ~(left_convergent_lines(L41_143_10, M42_143_10) | left_convergent_lines(L41_143_10, reverse_line(M42_143_10)))
% 293.42/42.93 -> [17940] ~left_convergent_lines(L41_143_10, M42_143_10), ~left_convergent_lines(L41_143_10, reverse_line(M42_143_10))
% 293.42/42.93
% 293.42/42.93 [17940] CLOSURE : ~left_convergent_lines(L41_143_10, M42_143_10)
% 293.42/42.93
% 293.42/42.93 [16351] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.93 -> [16430] ~line(skolem_M7878)
% 293.42/42.93 -> [16431] ~line(skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [16430] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [17061] ((unequally_directed_lines(skolem_N7979, M38_559_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_559_8))) => (left_convergent_lines(skolem_N7979, M38_559_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_559_8))))
% 293.42/42.93
% 293.42/42.93 [17061] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_559_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_559_8))) => (left_convergent_lines(skolem_N7979, M38_559_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_559_8))))
% 293.42/42.93 -> [17064] ~(unequally_directed_lines(skolem_N7979, M38_559_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_559_8)))
% 293.42/42.93 -> [17065] (left_convergent_lines(skolem_N7979, M38_559_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_559_8)))
% 293.42/42.93
% 293.42/42.93 [17064] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_559_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_559_8)))
% 293.42/42.93 -> [17202] ~unequally_directed_lines(skolem_N7979, M38_559_8)
% 293.42/42.93 -> [17203] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_559_8))
% 293.42/42.93
% 293.42/42.93 [17203] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_559_8))
% 293.42/42.93
% 293.42/42.93 [17202] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_559_8)
% 293.42/42.93
% 293.42/42.93 [17065] BETA_OR : (left_convergent_lines(skolem_N7979, M38_559_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_559_8)))
% 293.42/42.93 -> [17068] left_convergent_lines(skolem_N7979, M38_559_8)
% 293.42/42.93 -> [17069] left_convergent_lines(skolem_N7979, reverse_line(M38_559_8))
% 293.42/42.93
% 293.42/42.93 [17069] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [17515] ~(left_apart_point(A39_1107_9, L40_1107_9) | left_apart_point(A39_1107_9, reverse_line(L40_1107_9)))
% 293.42/42.93
% 293.42/42.93 [17515] ALPHA_NOT_OR : ~(left_apart_point(A39_1107_9, L40_1107_9) | left_apart_point(A39_1107_9, reverse_line(L40_1107_9)))
% 293.42/42.93 -> [17518] ~left_apart_point(A39_1107_9, L40_1107_9), ~left_apart_point(A39_1107_9, reverse_line(L40_1107_9))
% 293.42/42.93
% 293.42/42.93 [17518] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.93 -> [17895] ~(left_convergent_lines(L41_140_10, M42_140_10) | left_convergent_lines(L41_140_10, reverse_line(M42_140_10)))
% 293.42/42.93
% 293.42/42.93 [17895] ALPHA_NOT_OR : ~(left_convergent_lines(L41_140_10, M42_140_10) | left_convergent_lines(L41_140_10, reverse_line(M42_140_10)))
% 293.42/42.93 -> [17896] ~left_convergent_lines(L41_140_10, M42_140_10), ~left_convergent_lines(L41_140_10, reverse_line(M42_140_10))
% 293.42/42.93
% 293.42/42.93 [17896] CLOSURE : ~left_convergent_lines(L41_140_10, M42_140_10)
% 293.42/42.93
% 293.42/42.93 [17068] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [17592] ~(left_apart_point(A39_1121_9, L40_1121_9) | left_apart_point(A39_1121_9, reverse_line(L40_1121_9)))
% 293.42/42.93
% 293.42/42.93 [17592] ALPHA_NOT_OR : ~(left_apart_point(A39_1121_9, L40_1121_9) | left_apart_point(A39_1121_9, reverse_line(L40_1121_9)))
% 293.42/42.93 -> [17595] ~left_apart_point(A39_1121_9, L40_1121_9), ~left_apart_point(A39_1121_9, reverse_line(L40_1121_9))
% 293.42/42.93
% 293.42/42.93 [17595] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.93 -> [17919] ~(left_convergent_lines(L41_141_10, M42_141_10) | left_convergent_lines(L41_141_10, reverse_line(M42_141_10)))
% 293.42/42.93
% 293.42/42.93 [17919] ALPHA_NOT_OR : ~(left_convergent_lines(L41_141_10, M42_141_10) | left_convergent_lines(L41_141_10, reverse_line(M42_141_10)))
% 293.42/42.93 -> [17920] ~left_convergent_lines(L41_141_10, M42_141_10), ~left_convergent_lines(L41_141_10, reverse_line(M42_141_10))
% 293.42/42.93
% 293.42/42.93 [17920] CLOSURE : ~left_convergent_lines(L41_141_10, M42_141_10)
% 293.42/42.93
% 293.42/42.93 [16431] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [17212] ((unequally_directed_lines(skolem_N7979, M38_569_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_569_8))) => (left_convergent_lines(skolem_N7979, M38_569_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_569_8))))
% 293.42/42.93
% 293.42/42.93 [17212] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_569_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_569_8))) => (left_convergent_lines(skolem_N7979, M38_569_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_569_8))))
% 293.42/42.93 -> [17213] ~(unequally_directed_lines(skolem_N7979, M38_569_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_569_8)))
% 293.42/42.93 -> [17214] (left_convergent_lines(skolem_N7979, M38_569_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_569_8)))
% 293.42/42.93
% 293.42/42.93 [17213] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_569_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_569_8)))
% 293.42/42.93 -> [17330] ~unequally_directed_lines(skolem_N7979, M38_569_8)
% 293.42/42.93 -> [17331] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_569_8))
% 293.42/42.93
% 293.42/42.93 [17331] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_569_8))
% 293.42/42.93
% 293.42/42.93 [17330] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_569_8)
% 293.42/42.93
% 293.42/42.93 [17214] BETA_OR : (left_convergent_lines(skolem_N7979, M38_569_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_569_8)))
% 293.42/42.93 -> [17216] left_convergent_lines(skolem_N7979, M38_569_8)
% 293.42/42.93 -> [17217] left_convergent_lines(skolem_N7979, reverse_line(M38_569_8))
% 293.42/42.93
% 293.42/42.93 [17217] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [17604] ~(left_apart_point(A39_1122_9, L40_1122_9) | left_apart_point(A39_1122_9, reverse_line(L40_1122_9)))
% 293.42/42.93
% 293.42/42.93 [17604] ALPHA_NOT_OR : ~(left_apart_point(A39_1122_9, L40_1122_9) | left_apart_point(A39_1122_9, reverse_line(L40_1122_9)))
% 293.42/42.93 -> [17606] ~left_apart_point(A39_1122_9, L40_1122_9), ~left_apart_point(A39_1122_9, reverse_line(L40_1122_9))
% 293.42/42.93
% 293.42/42.93 [17606] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.93 -> [17927] ~(left_convergent_lines(L41_142_10, M42_142_10) | left_convergent_lines(L41_142_10, reverse_line(M42_142_10)))
% 293.42/42.93
% 293.42/42.93 [17927] ALPHA_NOT_OR : ~(left_convergent_lines(L41_142_10, M42_142_10) | left_convergent_lines(L41_142_10, reverse_line(M42_142_10)))
% 293.42/42.93 -> [17933] ~left_convergent_lines(L41_142_10, M42_142_10), ~left_convergent_lines(L41_142_10, reverse_line(M42_142_10))
% 293.42/42.93
% 293.42/42.93 [17933] CLOSURE : ~left_convergent_lines(L41_142_10, M42_142_10)
% 293.42/42.93
% 293.42/42.93 [17216] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [17656] ~(left_apart_point(A39_1131_9, L40_1131_9) | left_apart_point(A39_1131_9, reverse_line(L40_1131_9)))
% 293.42/42.93
% 293.42/42.93 [17656] ALPHA_NOT_OR : ~(left_apart_point(A39_1131_9, L40_1131_9) | left_apart_point(A39_1131_9, reverse_line(L40_1131_9)))
% 293.42/42.93 -> [17659] ~left_apart_point(A39_1131_9, L40_1131_9), ~left_apart_point(A39_1131_9, reverse_line(L40_1131_9))
% 293.42/42.93
% 293.42/42.93 [17659] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.93 -> [17967] ~(left_convergent_lines(L41_144_10, M42_144_10) | left_convergent_lines(L41_144_10, reverse_line(M42_144_10)))
% 293.42/42.93
% 293.42/42.93 [17967] ALPHA_NOT_OR : ~(left_convergent_lines(L41_144_10, M42_144_10) | left_convergent_lines(L41_144_10, reverse_line(M42_144_10)))
% 293.42/42.93 -> [17972] ~left_convergent_lines(L41_144_10, M42_144_10), ~left_convergent_lines(L41_144_10, reverse_line(M42_144_10))
% 293.42/42.93
% 293.42/42.93 [17972] CLOSURE : ~left_convergent_lines(L41_144_10, M42_144_10)
% 293.42/42.93
% 293.42/42.93 [801] 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)))
% 293.42/42.93 -> [802] (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)))
% 293.42/42.93
% 293.42/42.93 [802] 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)))
% 293.42/42.93 -> [805] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 293.42/42.93 -> [806] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [805] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.93 -> [2217] ~distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.93
% 293.42/42.93 [2217] 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))))
% 293.42/42.93 -> [3815] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.93
% 293.42/42.93 [3815] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.93 -> [3816] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.93 -> [3817] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.93
% 293.42/42.93 [3816] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.93
% 293.42/42.93 [3817] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.93 -> [4278] distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.93 -> [4279] distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.93
% 293.42/42.93 [4279] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.93
% 293.42/42.93 [4278] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.93 -> [4328] ~distinct_lines(N27_103_3, N27_103_3)
% 293.42/42.93
% 293.42/42.93 [4328] 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))))
% 293.42/42.93 -> [4351] (distinct_lines(N27_103_3, N27_103_3) => (distinct_lines(N27_103_3, N27_103_3) | distinct_lines(N27_103_3, N27_103_3)))
% 293.42/42.93
% 293.42/42.93 [4351] BETA_IMPLY : (distinct_lines(N27_103_3, N27_103_3) => (distinct_lines(N27_103_3, N27_103_3) | distinct_lines(N27_103_3, N27_103_3)))
% 293.42/42.93 -> [4352] ~distinct_lines(N27_103_3, N27_103_3)
% 293.42/42.93 -> [4353] (distinct_lines(N27_103_3, N27_103_3) | distinct_lines(N27_103_3, N27_103_3))
% 293.42/42.93
% 293.42/42.93 [4353] BETA_OR : (distinct_lines(N27_103_3, N27_103_3) | distinct_lines(N27_103_3, N27_103_3))
% 293.42/42.93 -> [4356] distinct_lines(N27_103_3, N27_103_3)
% 293.42/42.93 -> [4357] distinct_lines(N27_103_3, N27_103_3)
% 293.42/42.93
% 293.42/42.93 [4356] CLOSURE : distinct_lines(N27_103_3, N27_103_3)
% 293.42/42.93
% 293.42/42.93 [4357] CLOSURE : distinct_lines(N27_103_3, N27_103_3)
% 293.42/42.93
% 293.42/42.93 [4352] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.93 -> [4375] ~unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93
% 293.42/42.93 [4375] 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))))
% 293.42/42.93 -> [4399] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.93
% 293.42/42.93 [4399] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.93 -> [4400] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93 -> [4401] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.93
% 293.42/42.93 [4400] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93
% 293.42/42.93 [4401] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.93 -> [6878] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93 -> [6879] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93
% 293.42/42.93 [6879] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93
% 293.42/42.93 [6878] 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))))))
% 293.42/42.93 -> [8887] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_87_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_87_6))) | (unequally_directed_lines(skolem_N7979, N34_87_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_87_6)))))
% 293.42/42.93
% 293.42/42.93 [8887] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_87_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_87_6))) | (unequally_directed_lines(skolem_N7979, N34_87_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_87_6)))))
% 293.42/42.93 -> [8888] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [8889] ((unequally_directed_lines(skolem_M7878, N34_87_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_87_6))) | (unequally_directed_lines(skolem_N7979, N34_87_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_87_6))))
% 293.42/42.93
% 293.42/42.93 [8888] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [8902] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93 -> [8903] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [8903] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [8902] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93
% 293.42/42.93 [8889] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_87_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_87_6))) | (unequally_directed_lines(skolem_N7979, N34_87_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_87_6))))
% 293.42/42.93 -> [16584] (unequally_directed_lines(skolem_M7878, N34_87_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_87_6)))
% 293.42/42.93 -> [16585] (unequally_directed_lines(skolem_N7979, N34_87_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_87_6)))
% 293.42/42.93
% 293.42/42.93 [16585] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_87_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_87_6)))
% 293.42/42.93 -> [16588] unequally_directed_lines(skolem_N7979, N34_87_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_87_6))
% 293.42/42.93
% 293.42/42.93 [16588] 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)))))
% 293.42/42.93 -> [16665] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.93
% 293.42/42.93 [16665] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.93 -> [16669] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.93 -> [16670] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.93
% 293.42/42.93 [16670] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.93 -> [16671] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93 -> [16672] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.93
% 293.42/42.93 [16671] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93
% 293.42/42.93 [16672] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [16822] ((unequally_directed_lines(skolem_N7979, M38_544_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_544_8))) => (left_convergent_lines(skolem_N7979, M38_544_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_544_8))))
% 293.42/42.93
% 293.42/42.93 [16822] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_544_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_544_8))) => (left_convergent_lines(skolem_N7979, M38_544_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_544_8))))
% 293.42/42.93 -> [16825] ~(unequally_directed_lines(skolem_N7979, M38_544_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_544_8)))
% 293.42/42.93 -> [16826] (left_convergent_lines(skolem_N7979, M38_544_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_544_8)))
% 293.42/42.93
% 293.42/42.93 [16826] BETA_OR : (left_convergent_lines(skolem_N7979, M38_544_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_544_8)))
% 293.42/42.93 -> [16829] left_convergent_lines(skolem_N7979, M38_544_8)
% 293.42/42.93 -> [16830] left_convergent_lines(skolem_N7979, reverse_line(M38_544_8))
% 293.42/42.93
% 293.42/42.93 [16830] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [16981] ~(left_apart_point(A39_1025_9, L40_1025_9) | left_apart_point(A39_1025_9, reverse_line(L40_1025_9)))
% 293.42/42.93
% 293.42/42.93 [16981] ALPHA_NOT_OR : ~(left_apart_point(A39_1025_9, L40_1025_9) | left_apart_point(A39_1025_9, reverse_line(L40_1025_9)))
% 293.42/42.93 -> [16984] ~left_apart_point(A39_1025_9, L40_1025_9), ~left_apart_point(A39_1025_9, reverse_line(L40_1025_9))
% 293.42/42.93
% 293.42/42.93 [16984] CLOSURE : ~left_apart_point(A39_1025_9, L40_1025_9)
% 293.42/42.93
% 293.42/42.93 [16829] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [17023] ~(left_apart_point(A39_1028_9, L40_1028_9) | left_apart_point(A39_1028_9, reverse_line(L40_1028_9)))
% 293.42/42.93
% 293.42/42.93 [17023] ALPHA_NOT_OR : ~(left_apart_point(A39_1028_9, L40_1028_9) | left_apart_point(A39_1028_9, reverse_line(L40_1028_9)))
% 293.42/42.93 -> [17024] ~left_apart_point(A39_1028_9, L40_1028_9), ~left_apart_point(A39_1028_9, reverse_line(L40_1028_9))
% 293.42/42.93
% 293.42/42.93 [17024] CLOSURE : ~left_apart_point(A39_1028_9, L40_1028_9)
% 293.42/42.93
% 293.42/42.93 [16825] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_544_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_544_8)))
% 293.42/42.93 -> [16874] ~unequally_directed_lines(skolem_N7979, M38_544_8)
% 293.42/42.93 -> [16875] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_544_8))
% 293.42/42.93
% 293.42/42.93 [16875] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_544_8))
% 293.42/42.93
% 293.42/42.93 [16874] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_544_8)
% 293.42/42.93
% 293.42/42.93 [16669] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.93 -> [16703] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93 -> [16704] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93
% 293.42/42.93 [16704] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [16806] ((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))))
% 293.42/42.93
% 293.42/42.93 [16806] 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))))
% 293.42/42.93 -> [16810] ~(unequally_directed_lines(skolem_N7979, M38_541_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_541_8)))
% 293.42/42.93 -> [16811] (left_convergent_lines(skolem_N7979, M38_541_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_541_8)))
% 293.42/42.93
% 293.42/42.93 [16810] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_541_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_541_8)))
% 293.42/42.93 -> [16863] ~unequally_directed_lines(skolem_N7979, M38_541_8)
% 293.42/42.93 -> [16864] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_541_8))
% 293.42/42.93
% 293.42/42.93 [16864] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_541_8))
% 293.42/42.93
% 293.42/42.93 [16863] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_541_8)
% 293.42/42.93
% 293.42/42.93 [16811] BETA_OR : (left_convergent_lines(skolem_N7979, M38_541_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_541_8)))
% 293.42/42.93 -> [16816] left_convergent_lines(skolem_N7979, M38_541_8)
% 293.42/42.93 -> [16817] left_convergent_lines(skolem_N7979, reverse_line(M38_541_8))
% 293.42/42.93
% 293.42/42.93 [16817] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [16969] ~(left_apart_point(A39_1024_9, L40_1024_9) | left_apart_point(A39_1024_9, reverse_line(L40_1024_9)))
% 293.42/42.93
% 293.42/42.93 [16969] ALPHA_NOT_OR : ~(left_apart_point(A39_1024_9, L40_1024_9) | left_apart_point(A39_1024_9, reverse_line(L40_1024_9)))
% 293.42/42.93 -> [16971] ~left_apart_point(A39_1024_9, L40_1024_9), ~left_apart_point(A39_1024_9, reverse_line(L40_1024_9))
% 293.42/42.93
% 293.42/42.93 [16971] CLOSURE : ~left_apart_point(A39_1024_9, L40_1024_9)
% 293.42/42.93
% 293.42/42.93 [16816] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [17079] ~(left_apart_point(A39_1033_9, L40_1033_9) | left_apart_point(A39_1033_9, reverse_line(L40_1033_9)))
% 293.42/42.93
% 293.42/42.93 [17079] ALPHA_NOT_OR : ~(left_apart_point(A39_1033_9, L40_1033_9) | left_apart_point(A39_1033_9, reverse_line(L40_1033_9)))
% 293.42/42.93 -> [17080] ~left_apart_point(A39_1033_9, L40_1033_9), ~left_apart_point(A39_1033_9, reverse_line(L40_1033_9))
% 293.42/42.93
% 293.42/42.93 [17080] CLOSURE : ~left_apart_point(A39_1033_9, L40_1033_9)
% 293.42/42.93
% 293.42/42.93 [16703] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [16847] ((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))))
% 293.42/42.93
% 293.42/42.93 [16847] 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))))
% 293.42/42.93 -> [16850] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [16851] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93
% 293.42/42.93 [16850] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [16919] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93 -> [16920] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [16920] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [16919] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93
% 293.42/42.93 [16851] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [16858] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93 -> [16859] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [16858] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [17291] ~(left_apart_point(A39_1071_9, L40_1071_9) | left_apart_point(A39_1071_9, reverse_line(L40_1071_9)))
% 293.42/42.93
% 293.42/42.93 [17291] ALPHA_NOT_OR : ~(left_apart_point(A39_1071_9, L40_1071_9) | left_apart_point(A39_1071_9, reverse_line(L40_1071_9)))
% 293.42/42.93 -> [17294] ~left_apart_point(A39_1071_9, L40_1071_9), ~left_apart_point(A39_1071_9, reverse_line(L40_1071_9))
% 293.42/42.93
% 293.42/42.93 [17294] CLOSURE : ~left_apart_point(A39_1071_9, L40_1071_9)
% 293.42/42.93
% 293.42/42.93 [16859] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [17300] ~(left_apart_point(A39_1072_9, L40_1072_9) | left_apart_point(A39_1072_9, reverse_line(L40_1072_9)))
% 293.42/42.93
% 293.42/42.93 [17300] ALPHA_NOT_OR : ~(left_apart_point(A39_1072_9, L40_1072_9) | left_apart_point(A39_1072_9, reverse_line(L40_1072_9)))
% 293.42/42.93 -> [17302] ~left_apart_point(A39_1072_9, L40_1072_9), ~left_apart_point(A39_1072_9, reverse_line(L40_1072_9))
% 293.42/42.93
% 293.42/42.93 [17302] CLOSURE : ~left_apart_point(A39_1072_9, L40_1072_9)
% 293.42/42.93
% 293.42/42.93 [16584] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_87_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_87_6)))
% 293.42/42.93 -> [16598] unequally_directed_lines(skolem_M7878, N34_87_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_87_6))
% 293.42/42.93
% 293.42/42.93 [16598] 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)))))
% 293.42/42.93 -> [16727] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.93
% 293.42/42.93 [16727] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.93 -> [16729] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.93 -> [16730] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.93
% 293.42/42.93 [16730] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.93 -> [16733] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93 -> [16734] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.93
% 293.42/42.93 [16733] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93
% 293.42/42.93 [16734] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [16903] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.93
% 293.42/42.93 [16903] 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))))
% 293.42/42.93 -> [16907] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [16908] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93
% 293.42/42.93 [16908] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [16911] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93 -> [16912] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [16912] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [17066] ~(left_apart_point(A39_1032_9, L40_1032_9) | left_apart_point(A39_1032_9, reverse_line(L40_1032_9)))
% 293.42/42.93
% 293.42/42.93 [17066] ALPHA_NOT_OR : ~(left_apart_point(A39_1032_9, L40_1032_9) | left_apart_point(A39_1032_9, reverse_line(L40_1032_9)))
% 293.42/42.93 -> [17067] ~left_apart_point(A39_1032_9, L40_1032_9), ~left_apart_point(A39_1032_9, reverse_line(L40_1032_9))
% 293.42/42.93
% 293.42/42.93 [17067] CLOSURE : ~left_apart_point(A39_1032_9, L40_1032_9)
% 293.42/42.93
% 293.42/42.93 [16911] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [17239] ~(left_apart_point(A39_1057_9, L40_1057_9) | left_apart_point(A39_1057_9, reverse_line(L40_1057_9)))
% 293.42/42.93
% 293.42/42.93 [17239] ALPHA_NOT_OR : ~(left_apart_point(A39_1057_9, L40_1057_9) | left_apart_point(A39_1057_9, reverse_line(L40_1057_9)))
% 293.42/42.93 -> [17240] ~left_apart_point(A39_1057_9, L40_1057_9), ~left_apart_point(A39_1057_9, reverse_line(L40_1057_9))
% 293.42/42.93
% 293.42/42.93 [17240] CLOSURE : ~left_apart_point(A39_1057_9, L40_1057_9)
% 293.42/42.93
% 293.42/42.93 [16907] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [16941] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93 -> [16942] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [16942] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [16941] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [16729] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.93 -> [16742] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93 -> [16743] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93
% 293.42/42.93 [16743] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [16889] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.93
% 293.42/42.93 [16889] 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))))
% 293.42/42.93 -> [16891] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [16892] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93
% 293.42/42.93 [16892] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [16898] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93 -> [16899] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [16898] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [17164] ~(left_apart_point(A39_1046_9, L40_1046_9) | left_apart_point(A39_1046_9, reverse_line(L40_1046_9)))
% 293.42/42.93
% 293.42/42.93 [17164] ALPHA_NOT_OR : ~(left_apart_point(A39_1046_9, L40_1046_9) | left_apart_point(A39_1046_9, reverse_line(L40_1046_9)))
% 293.42/42.93 -> [17170] ~left_apart_point(A39_1046_9, L40_1046_9), ~left_apart_point(A39_1046_9, reverse_line(L40_1046_9))
% 293.42/42.93
% 293.42/42.93 [17170] CLOSURE : ~left_apart_point(A39_1046_9, L40_1046_9)
% 293.42/42.93
% 293.42/42.93 [16899] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [17174] ~(left_apart_point(A39_1049_9, L40_1049_9) | left_apart_point(A39_1049_9, reverse_line(L40_1049_9)))
% 293.42/42.93
% 293.42/42.93 [17174] ALPHA_NOT_OR : ~(left_apart_point(A39_1049_9, L40_1049_9) | left_apart_point(A39_1049_9, reverse_line(L40_1049_9)))
% 293.42/42.93 -> [17178] ~left_apart_point(A39_1049_9, L40_1049_9), ~left_apart_point(A39_1049_9, reverse_line(L40_1049_9))
% 293.42/42.93
% 293.42/42.93 [17178] CLOSURE : ~left_apart_point(A39_1049_9, L40_1049_9)
% 293.42/42.93
% 293.42/42.93 [16891] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [16931] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93 -> [16932] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [16932] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [16931] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [16742] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [16997] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.93
% 293.42/42.93 [16997] 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))))
% 293.42/42.93 -> [17007] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [17008] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93
% 293.42/42.93 [17008] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [17013] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93 -> [17014] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [17014] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [17303] ~(left_apart_point(A39_1073_9, L40_1073_9) | left_apart_point(A39_1073_9, reverse_line(L40_1073_9)))
% 293.42/42.93
% 293.42/42.93 [17303] ALPHA_NOT_OR : ~(left_apart_point(A39_1073_9, L40_1073_9) | left_apart_point(A39_1073_9, reverse_line(L40_1073_9)))
% 293.42/42.93 -> [17306] ~left_apart_point(A39_1073_9, L40_1073_9), ~left_apart_point(A39_1073_9, reverse_line(L40_1073_9))
% 293.42/42.93
% 293.42/42.93 [17306] CLOSURE : ~left_apart_point(A39_1073_9, L40_1073_9)
% 293.42/42.93
% 293.42/42.93 [17013] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [17349] ~(left_apart_point(A39_1079_9, L40_1079_9) | left_apart_point(A39_1079_9, reverse_line(L40_1079_9)))
% 293.42/42.93
% 293.42/42.93 [17349] ALPHA_NOT_OR : ~(left_apart_point(A39_1079_9, L40_1079_9) | left_apart_point(A39_1079_9, reverse_line(L40_1079_9)))
% 293.42/42.93 -> [17350] ~left_apart_point(A39_1079_9, L40_1079_9), ~left_apart_point(A39_1079_9, reverse_line(L40_1079_9))
% 293.42/42.93
% 293.42/42.93 [17350] CLOSURE : ~left_apart_point(A39_1079_9, L40_1079_9)
% 293.42/42.93
% 293.42/42.93 [17007] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [17091] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93 -> [17092] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [17092] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [17091] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [806] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.93 -> [1042] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.93
% 293.42/42.93 [1042] 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))))
% 293.42/42.93 -> [3436] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.93
% 293.42/42.93 [3436] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.93 -> [3437] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.93 -> [3438] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.93
% 293.42/42.93 [3437] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.93
% 293.42/42.93 [3438] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.93 -> [6965] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.93 -> [6966] distinct_points(skolem_C8282, skolem_B8181)
% 293.42/42.93
% 293.42/42.93 [6965] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.93
% 293.42/42.93 [6966] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.93 -> [8740] ~distinct_lines(N27_266_3, N27_266_3)
% 293.42/42.93
% 293.42/42.93 [8740] 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))))
% 293.42/42.93 -> [8833] (distinct_lines(N27_266_3, N27_266_3) => (distinct_lines(N27_266_3, N27_266_3) | distinct_lines(N27_266_3, N27_266_3)))
% 293.42/42.93
% 293.42/42.93 [8833] BETA_IMPLY : (distinct_lines(N27_266_3, N27_266_3) => (distinct_lines(N27_266_3, N27_266_3) | distinct_lines(N27_266_3, N27_266_3)))
% 293.42/42.93 -> [8834] ~distinct_lines(N27_266_3, N27_266_3)
% 293.42/42.93 -> [8835] (distinct_lines(N27_266_3, N27_266_3) | distinct_lines(N27_266_3, N27_266_3))
% 293.42/42.93
% 293.42/42.93 [8835] BETA_OR : (distinct_lines(N27_266_3, N27_266_3) | distinct_lines(N27_266_3, N27_266_3))
% 293.42/42.93 -> [8839] distinct_lines(N27_266_3, N27_266_3)
% 293.42/42.93 -> [8840] distinct_lines(N27_266_3, N27_266_3)
% 293.42/42.93
% 293.42/42.93 [8839] CLOSURE : distinct_lines(N27_266_3, N27_266_3)
% 293.42/42.93
% 293.42/42.93 [8840] CLOSURE : distinct_lines(N27_266_3, N27_266_3)
% 293.42/42.93
% 293.42/42.93 [8834] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.93 -> [9047] ~unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93
% 293.42/42.93 [9047] 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))))
% 293.42/42.93 -> [9290] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.93
% 293.42/42.93 [9290] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.93 -> [9291] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93 -> [9292] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.93
% 293.42/42.93 [9291] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93
% 293.42/42.93 [9292] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.93 -> [19861] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93 -> [19862] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93
% 293.42/42.93 [19862] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93
% 293.42/42.93 [19861] 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))))))
% 293.42/42.93 -> [22031] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_263_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_263_6))) | (unequally_directed_lines(skolem_N7979, N34_263_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_263_6)))))
% 293.42/42.93
% 293.42/42.93 [22031] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_263_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_263_6))) | (unequally_directed_lines(skolem_N7979, N34_263_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_263_6)))))
% 293.42/42.93 -> [22034] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [22035] ((unequally_directed_lines(skolem_M7878, N34_263_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_263_6))) | (unequally_directed_lines(skolem_N7979, N34_263_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_263_6))))
% 293.42/42.93
% 293.42/42.93 [22034] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [22088] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93 -> [22089] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [22089] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [22088] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93
% 293.42/42.93 [22035] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_263_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_263_6))) | (unequally_directed_lines(skolem_N7979, N34_263_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_263_6))))
% 293.42/42.93 -> [24343] (unequally_directed_lines(skolem_M7878, N34_263_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_263_6)))
% 293.42/42.93 -> [24344] (unequally_directed_lines(skolem_N7979, N34_263_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_263_6)))
% 293.42/42.93
% 293.42/42.93 [24344] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_263_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_263_6)))
% 293.42/42.93 -> [24348] unequally_directed_lines(skolem_N7979, N34_263_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_263_6))
% 293.42/42.93
% 293.42/42.93 [24348] 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)))))
% 293.42/42.93 -> [24434] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.93
% 293.42/42.93 [24434] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.93 -> [24436] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.93 -> [24437] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.93
% 293.42/42.93 [24437] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.93 -> [24456] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93 -> [24457] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.93
% 293.42/42.93 [24456] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93
% 293.42/42.93 [24457] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [24536] ((unequally_directed_lines(skolem_N7979, M38_1041_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1041_8))) => (left_convergent_lines(skolem_N7979, M38_1041_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1041_8))))
% 293.42/42.93
% 293.42/42.93 [24536] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1041_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1041_8))) => (left_convergent_lines(skolem_N7979, M38_1041_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1041_8))))
% 293.42/42.93 -> [24541] ~(unequally_directed_lines(skolem_N7979, M38_1041_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1041_8)))
% 293.42/42.93 -> [24542] (left_convergent_lines(skolem_N7979, M38_1041_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1041_8)))
% 293.42/42.93
% 293.42/42.93 [24542] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1041_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1041_8)))
% 293.42/42.93 -> [24549] left_convergent_lines(skolem_N7979, M38_1041_8)
% 293.42/42.93 -> [24550] left_convergent_lines(skolem_N7979, reverse_line(M38_1041_8))
% 293.42/42.93
% 293.42/42.93 [24550] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [24630] ~(left_apart_point(A39_2052_9, L40_2052_9) | left_apart_point(A39_2052_9, reverse_line(L40_2052_9)))
% 293.42/42.93
% 293.42/42.93 [24630] ALPHA_NOT_OR : ~(left_apart_point(A39_2052_9, L40_2052_9) | left_apart_point(A39_2052_9, reverse_line(L40_2052_9)))
% 293.42/42.93 -> [24633] ~left_apart_point(A39_2052_9, L40_2052_9), ~left_apart_point(A39_2052_9, reverse_line(L40_2052_9))
% 293.42/42.93
% 293.42/42.93 [24633] CLOSURE : ~left_apart_point(A39_2052_9, L40_2052_9)
% 293.42/42.93
% 293.42/42.93 [24549] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [24668] ~(left_apart_point(A39_2057_9, L40_2057_9) | left_apart_point(A39_2057_9, reverse_line(L40_2057_9)))
% 293.42/42.93
% 293.42/42.93 [24668] ALPHA_NOT_OR : ~(left_apart_point(A39_2057_9, L40_2057_9) | left_apart_point(A39_2057_9, reverse_line(L40_2057_9)))
% 293.42/42.93 -> [24671] ~left_apart_point(A39_2057_9, L40_2057_9), ~left_apart_point(A39_2057_9, reverse_line(L40_2057_9))
% 293.42/42.93
% 293.42/42.93 [24671] CLOSURE : ~left_apart_point(A39_2057_9, L40_2057_9)
% 293.42/42.93
% 293.42/42.93 [24541] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1041_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1041_8)))
% 293.42/42.93 -> [24569] ~unequally_directed_lines(skolem_N7979, M38_1041_8)
% 293.42/42.93 -> [24570] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1041_8))
% 293.42/42.93
% 293.42/42.93 [24570] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1041_8))
% 293.42/42.93
% 293.42/42.93 [24569] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1041_8)
% 293.42/42.93
% 293.42/42.93 [24436] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.93 -> [24440] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93 -> [24441] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93
% 293.42/42.93 [24440] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [24498] ((unequally_directed_lines(skolem_N7979, M38_1038_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1038_8))) => (left_convergent_lines(skolem_N7979, M38_1038_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1038_8))))
% 293.42/42.93
% 293.42/42.93 [24498] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1038_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1038_8))) => (left_convergent_lines(skolem_N7979, M38_1038_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1038_8))))
% 293.42/42.93 -> [24500] ~(unequally_directed_lines(skolem_N7979, M38_1038_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1038_8)))
% 293.42/42.93 -> [24501] (left_convergent_lines(skolem_N7979, M38_1038_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1038_8)))
% 293.42/42.93
% 293.42/42.93 [24500] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1038_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1038_8)))
% 293.42/42.93 -> [24544] ~unequally_directed_lines(skolem_N7979, M38_1038_8)
% 293.42/42.93 -> [24545] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1038_8))
% 293.42/42.93
% 293.42/42.93 [24545] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1038_8))
% 293.42/42.93
% 293.42/42.93 [24544] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1038_8)
% 293.42/42.93
% 293.42/42.93 [24501] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1038_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1038_8)))
% 293.42/42.93 -> [24505] left_convergent_lines(skolem_N7979, M38_1038_8)
% 293.42/42.93 -> [24506] left_convergent_lines(skolem_N7979, reverse_line(M38_1038_8))
% 293.42/42.93
% 293.42/42.93 [24506] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [25238] ~(left_apart_point(A39_2143_9, L40_2143_9) | left_apart_point(A39_2143_9, reverse_line(L40_2143_9)))
% 293.42/42.93
% 293.42/42.93 [25238] ALPHA_NOT_OR : ~(left_apart_point(A39_2143_9, L40_2143_9) | left_apart_point(A39_2143_9, reverse_line(L40_2143_9)))
% 293.42/42.93 -> [25241] ~left_apart_point(A39_2143_9, L40_2143_9), ~left_apart_point(A39_2143_9, reverse_line(L40_2143_9))
% 293.42/42.93
% 293.42/42.93 [25241] CLOSURE : ~left_apart_point(A39_2143_9, L40_2143_9)
% 293.42/42.93
% 293.42/42.93 [24505] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [24706] ~(left_apart_point(A39_2065_9, L40_2065_9) | left_apart_point(A39_2065_9, reverse_line(L40_2065_9)))
% 293.42/42.93
% 293.42/42.93 [24706] ALPHA_NOT_OR : ~(left_apart_point(A39_2065_9, L40_2065_9) | left_apart_point(A39_2065_9, reverse_line(L40_2065_9)))
% 293.42/42.93 -> [24709] ~left_apart_point(A39_2065_9, L40_2065_9), ~left_apart_point(A39_2065_9, reverse_line(L40_2065_9))
% 293.42/42.93
% 293.42/42.93 [24709] CLOSURE : ~left_apart_point(A39_2065_9, L40_2065_9)
% 293.42/42.93
% 293.42/42.93 [24441] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [24462] ((unequally_directed_lines(skolem_N7979, M38_1033_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1033_8))) => (left_convergent_lines(skolem_N7979, M38_1033_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1033_8))))
% 293.42/42.93
% 293.42/42.93 [24462] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1033_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1033_8))) => (left_convergent_lines(skolem_N7979, M38_1033_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1033_8))))
% 293.42/42.93 -> [24464] ~(unequally_directed_lines(skolem_N7979, M38_1033_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1033_8)))
% 293.42/42.93 -> [24465] (left_convergent_lines(skolem_N7979, M38_1033_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1033_8)))
% 293.42/42.93
% 293.42/42.93 [24464] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1033_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1033_8)))
% 293.42/42.93 -> [24511] ~unequally_directed_lines(skolem_N7979, M38_1033_8)
% 293.42/42.93 -> [24512] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1033_8))
% 293.42/42.93
% 293.42/42.93 [24511] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1033_8)
% 293.42/42.93
% 293.42/42.93 [24512] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1033_8))
% 293.42/42.93
% 293.42/42.93 [24465] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1033_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1033_8)))
% 293.42/42.93 -> [24469] left_convergent_lines(skolem_N7979, M38_1033_8)
% 293.42/42.93 -> [24470] left_convergent_lines(skolem_N7979, reverse_line(M38_1033_8))
% 293.42/42.93
% 293.42/42.93 [24470] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [24637] ~(left_apart_point(A39_2053_9, L40_2053_9) | left_apart_point(A39_2053_9, reverse_line(L40_2053_9)))
% 293.42/42.93
% 293.42/42.93 [24637] ALPHA_NOT_OR : ~(left_apart_point(A39_2053_9, L40_2053_9) | left_apart_point(A39_2053_9, reverse_line(L40_2053_9)))
% 293.42/42.93 -> [24640] ~left_apart_point(A39_2053_9, L40_2053_9), ~left_apart_point(A39_2053_9, reverse_line(L40_2053_9))
% 293.42/42.93
% 293.42/42.93 [24640] CLOSURE : ~left_apart_point(A39_2053_9, L40_2053_9)
% 293.42/42.93
% 293.42/42.93 [24469] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [24683] ~(left_apart_point(A39_2060_9, L40_2060_9) | left_apart_point(A39_2060_9, reverse_line(L40_2060_9)))
% 293.42/42.93
% 293.42/42.93 [24683] ALPHA_NOT_OR : ~(left_apart_point(A39_2060_9, L40_2060_9) | left_apart_point(A39_2060_9, reverse_line(L40_2060_9)))
% 293.42/42.93 -> [24686] ~left_apart_point(A39_2060_9, L40_2060_9), ~left_apart_point(A39_2060_9, reverse_line(L40_2060_9))
% 293.42/42.93
% 293.42/42.93 [24686] CLOSURE : ~left_apart_point(A39_2060_9, L40_2060_9)
% 293.42/42.93
% 293.42/42.93 [24343] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_263_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_263_6)))
% 293.42/42.93 -> [24357] unequally_directed_lines(skolem_M7878, N34_263_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_263_6))
% 293.42/42.93
% 293.42/42.93 [24357] 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)))))
% 293.42/42.93 -> [24513] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.93
% 293.42/42.93 [24513] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.93 -> [24514] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.93 -> [24515] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.93
% 293.42/42.93 [24515] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.93 -> [24521] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93 -> [24522] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.93
% 293.42/42.93 [24521] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93
% 293.42/42.93 [24522] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [24653] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.93
% 293.42/42.93 [24653] 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))))
% 293.42/42.93 -> [24658] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [24659] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93
% 293.42/42.93 [24659] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [24663] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93 -> [24664] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [24664] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [24740] ~(left_apart_point(A39_2074_9, L40_2074_9) | left_apart_point(A39_2074_9, reverse_line(L40_2074_9)))
% 293.42/42.93
% 293.42/42.93 [24740] ALPHA_NOT_OR : ~(left_apart_point(A39_2074_9, L40_2074_9) | left_apart_point(A39_2074_9, reverse_line(L40_2074_9)))
% 293.42/42.93 -> [24741] ~left_apart_point(A39_2074_9, L40_2074_9), ~left_apart_point(A39_2074_9, reverse_line(L40_2074_9))
% 293.42/42.93
% 293.42/42.93 [24741] CLOSURE : ~left_apart_point(A39_2074_9, L40_2074_9)
% 293.42/42.93
% 293.42/42.93 [24663] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [24758] ~(left_apart_point(A39_2079_9, L40_2079_9) | left_apart_point(A39_2079_9, reverse_line(L40_2079_9)))
% 293.42/42.93
% 293.42/42.93 [24758] ALPHA_NOT_OR : ~(left_apart_point(A39_2079_9, L40_2079_9) | left_apart_point(A39_2079_9, reverse_line(L40_2079_9)))
% 293.42/42.93 -> [24760] ~left_apart_point(A39_2079_9, L40_2079_9), ~left_apart_point(A39_2079_9, reverse_line(L40_2079_9))
% 293.42/42.93
% 293.42/42.93 [24760] CLOSURE : ~left_apart_point(A39_2079_9, L40_2079_9)
% 293.42/42.93
% 293.42/42.93 [24658] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [24691] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93 -> [24692] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [24692] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [24691] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [24514] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.93 -> [24555] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93 -> [24556] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93
% 293.42/42.93 [24556] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [24634] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.93
% 293.42/42.93 [24634] 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))))
% 293.42/42.93 -> [24638] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [24639] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93
% 293.42/42.93 [24639] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [24644] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93 -> [24645] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [24644] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [24750] ~(left_apart_point(A39_2076_9, L40_2076_9) | left_apart_point(A39_2076_9, reverse_line(L40_2076_9)))
% 293.42/42.93
% 293.42/42.93 [24750] ALPHA_NOT_OR : ~(left_apart_point(A39_2076_9, L40_2076_9) | left_apart_point(A39_2076_9, reverse_line(L40_2076_9)))
% 293.42/42.93 -> [24754] ~left_apart_point(A39_2076_9, L40_2076_9), ~left_apart_point(A39_2076_9, reverse_line(L40_2076_9))
% 293.42/42.93
% 293.42/42.93 [24754] CLOSURE : ~left_apart_point(A39_2076_9, L40_2076_9)
% 293.42/42.93
% 293.42/42.93 [24645] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [24728] ~(left_apart_point(A39_2071_9, L40_2071_9) | left_apart_point(A39_2071_9, reverse_line(L40_2071_9)))
% 293.42/42.93
% 293.42/42.93 [24728] ALPHA_NOT_OR : ~(left_apart_point(A39_2071_9, L40_2071_9) | left_apart_point(A39_2071_9, reverse_line(L40_2071_9)))
% 293.42/42.93 -> [24731] ~left_apart_point(A39_2071_9, L40_2071_9), ~left_apart_point(A39_2071_9, reverse_line(L40_2071_9))
% 293.42/42.93
% 293.42/42.93 [24731] CLOSURE : ~left_apart_point(A39_2071_9, L40_2071_9)
% 293.42/42.93
% 293.42/42.93 [24638] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [24684] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93 -> [24685] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [24685] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [24684] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [24555] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [24675] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.93
% 293.42/42.93 [24675] 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))))
% 293.42/42.93 -> [24676] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [24677] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93
% 293.42/42.93 [24677] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [24679] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93 -> [24680] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [24679] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [25656] ~(left_apart_point(A39_2211_9, L40_2211_9) | left_apart_point(A39_2211_9, reverse_line(L40_2211_9)))
% 293.42/42.93
% 293.42/42.93 [25656] ALPHA_NOT_OR : ~(left_apart_point(A39_2211_9, L40_2211_9) | left_apart_point(A39_2211_9, reverse_line(L40_2211_9)))
% 293.42/42.93 -> [25693] ~left_apart_point(A39_2211_9, L40_2211_9), ~left_apart_point(A39_2211_9, reverse_line(L40_2211_9))
% 293.42/42.93
% 293.42/42.93 [25693] CLOSURE : ~left_apart_point(A39_2211_9, L40_2211_9)
% 293.42/42.93
% 293.42/42.93 [24680] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [25946] ~(left_apart_point(A39_2255_9, L40_2255_9) | left_apart_point(A39_2255_9, reverse_line(L40_2255_9)))
% 293.42/42.93
% 293.42/42.93 [25946] ALPHA_NOT_OR : ~(left_apart_point(A39_2255_9, L40_2255_9) | left_apart_point(A39_2255_9, reverse_line(L40_2255_9)))
% 293.42/42.93 -> [25947] ~left_apart_point(A39_2255_9, L40_2255_9), ~left_apart_point(A39_2255_9, reverse_line(L40_2255_9))
% 293.42/42.93
% 293.42/42.93 [25947] CLOSURE : ~left_apart_point(A39_2255_9, L40_2255_9)
% 293.42/42.93
% 293.42/42.93 [24676] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [25619] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93 -> [25620] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [25620] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [25619] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [154] BETA_NOT_AND : ~(((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))) & ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.93 -> [162] ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.42/42.93 -> [163] ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93
% 293.42/42.93 [163] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93 -> [169] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93
% 293.42/42.93 [169] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.42/42.93 -> [260] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.93 -> [261] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.93
% 293.42/42.93 [261] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.93 -> [272] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.93
% 293.42/42.93 [272] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.93 -> [276] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.42/42.93 -> [277] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [277] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.93 -> [690] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.93
% 293.42/42.93 [690] 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))))
% 293.42/42.93 -> [791] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.93
% 293.42/42.93 [791] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.93 -> [792] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.93 -> [793] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.93
% 293.42/42.93 [792] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.93
% 293.42/42.93 [793] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.93 -> [4060] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.93 -> [4061] distinct_points(skolem_C8282, skolem_B8181)
% 293.42/42.93
% 293.42/42.93 [4060] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.93
% 293.42/42.93 [4061] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.93 -> [4268] ~distinct_lines(N27_99_3, N27_99_3)
% 293.42/42.93
% 293.42/42.93 [4268] 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))))
% 293.42/42.93 -> [4275] (distinct_lines(N27_99_3, N27_99_3) => (distinct_lines(N27_99_3, N27_99_3) | distinct_lines(N27_99_3, N27_99_3)))
% 293.42/42.93
% 293.42/42.93 [4275] 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)))
% 293.42/42.93 -> [4276] ~distinct_lines(N27_99_3, N27_99_3)
% 293.42/42.93 -> [4277] (distinct_lines(N27_99_3, N27_99_3) | distinct_lines(N27_99_3, N27_99_3))
% 293.42/42.93
% 293.42/42.93 [4277] BETA_OR : (distinct_lines(N27_99_3, N27_99_3) | distinct_lines(N27_99_3, N27_99_3))
% 293.42/42.93 -> [4280] distinct_lines(N27_99_3, N27_99_3)
% 293.42/42.93 -> [4281] distinct_lines(N27_99_3, N27_99_3)
% 293.42/42.93
% 293.42/42.93 [4281] CLOSURE : distinct_lines(N27_99_3, N27_99_3)
% 293.42/42.93
% 293.42/42.93 [4280] CLOSURE : distinct_lines(N27_99_3, N27_99_3)
% 293.42/42.93
% 293.42/42.93 [4276] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.93 -> [4290] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [4290] 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))))
% 293.42/42.93 -> [4303] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878)))
% 293.42/42.93
% 293.42/42.93 [4303] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878)))
% 293.42/42.93 -> [4304] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93 -> [4305] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [4304] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93
% 293.42/42.93 [4305] 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)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878))
% 293.42/42.93 -> [4691] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.93 -> [4692] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [4691] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [4692] 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))))))
% 293.42/42.93 -> [5207] ((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)))))
% 293.42/42.93
% 293.42/42.93 [5207] 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)))))
% 293.42/42.93 -> [5208] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [5209] ((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))))
% 293.42/42.93
% 293.42/42.93 [5208] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [5226] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93 -> [5227] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [5227] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [5226] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93
% 293.42/42.93 [5209] 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))))
% 293.42/42.93 -> [8071] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [8072] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.93
% 293.42/42.93 [8071] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [8113] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [8113] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [8072] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [8077] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [8077] 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)))))
% 293.42/42.93 -> [8391] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.93
% 293.42/42.93 [8391] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.93 -> [8392] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.93 -> [8393] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.93
% 293.42/42.93 [8392] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.93 -> [8446] ~line(skolem_M7878)
% 293.42/42.93 -> [8447] ~line(skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [8446] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [8707] ((unequally_directed_lines(skolem_N7979, M38_100_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_100_8))) => (left_convergent_lines(skolem_N7979, M38_100_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_100_8))))
% 293.42/42.93
% 293.42/42.93 [8707] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_100_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_100_8))) => (left_convergent_lines(skolem_N7979, M38_100_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_100_8))))
% 293.42/42.93 -> [8708] ~(unequally_directed_lines(skolem_N7979, M38_100_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_100_8)))
% 293.42/42.93 -> [8709] (left_convergent_lines(skolem_N7979, M38_100_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_100_8)))
% 293.42/42.93
% 293.42/42.93 [8708] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_100_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_100_8)))
% 293.42/42.93 -> [8767] ~unequally_directed_lines(skolem_N7979, M38_100_8)
% 293.42/42.93 -> [8768] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_100_8))
% 293.42/42.93
% 293.42/42.93 [8768] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_100_8))
% 293.42/42.93
% 293.42/42.93 [8767] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_100_8)
% 293.42/42.93
% 293.42/42.93 [8709] BETA_OR : (left_convergent_lines(skolem_N7979, M38_100_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_100_8)))
% 293.42/42.93 -> [8710] left_convergent_lines(skolem_N7979, M38_100_8)
% 293.42/42.93 -> [8711] left_convergent_lines(skolem_N7979, reverse_line(M38_100_8))
% 293.42/42.93
% 293.42/42.93 [8711] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [8984] ~(left_apart_point(A39_190_9, L40_190_9) | left_apart_point(A39_190_9, reverse_line(L40_190_9)))
% 293.42/42.93
% 293.42/42.93 [8984] ALPHA_NOT_OR : ~(left_apart_point(A39_190_9, L40_190_9) | left_apart_point(A39_190_9, reverse_line(L40_190_9)))
% 293.42/42.93 -> [8986] ~left_apart_point(A39_190_9, L40_190_9), ~left_apart_point(A39_190_9, reverse_line(L40_190_9))
% 293.42/42.93
% 293.42/42.93 [8986] CLOSURE : ~left_apart_point(A39_190_9, L40_190_9)
% 293.42/42.93
% 293.42/42.93 [8710] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [9121] ~(left_apart_point(A39_213_9, L40_213_9) | left_apart_point(A39_213_9, reverse_line(L40_213_9)))
% 293.42/42.93
% 293.42/42.93 [9121] ALPHA_NOT_OR : ~(left_apart_point(A39_213_9, L40_213_9) | left_apart_point(A39_213_9, reverse_line(L40_213_9)))
% 293.42/42.93 -> [9125] ~left_apart_point(A39_213_9, L40_213_9), ~left_apart_point(A39_213_9, reverse_line(L40_213_9))
% 293.42/42.93
% 293.42/42.93 [9125] CLOSURE : ~left_apart_point(A39_213_9, L40_213_9)
% 293.42/42.93
% 293.42/42.93 [8447] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [8713] ((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))))
% 293.42/42.93
% 293.42/42.93 [8713] 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))))
% 293.42/42.93 -> [8714] ~(unequally_directed_lines(skolem_N7979, M38_101_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_101_8)))
% 293.42/42.93 -> [8715] (left_convergent_lines(skolem_N7979, M38_101_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_101_8)))
% 293.42/42.93
% 293.42/42.93 [8715] BETA_OR : (left_convergent_lines(skolem_N7979, M38_101_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_101_8)))
% 293.42/42.93 -> [8720] left_convergent_lines(skolem_N7979, M38_101_8)
% 293.42/42.93 -> [8721] left_convergent_lines(skolem_N7979, reverse_line(M38_101_8))
% 293.42/42.93
% 293.42/42.93 [8721] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [8995] ~(left_apart_point(A39_192_9, L40_192_9) | left_apart_point(A39_192_9, reverse_line(L40_192_9)))
% 293.42/42.93
% 293.42/42.93 [8995] ALPHA_NOT_OR : ~(left_apart_point(A39_192_9, L40_192_9) | left_apart_point(A39_192_9, reverse_line(L40_192_9)))
% 293.42/42.93 -> [8997] ~left_apart_point(A39_192_9, L40_192_9), ~left_apart_point(A39_192_9, reverse_line(L40_192_9))
% 293.42/42.93
% 293.42/42.93 [8997] CLOSURE : ~left_apart_point(A39_192_9, L40_192_9)
% 293.42/42.93
% 293.42/42.93 [8720] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [9056] ~(left_apart_point(A39_204_9, L40_204_9) | left_apart_point(A39_204_9, reverse_line(L40_204_9)))
% 293.42/42.93
% 293.42/42.93 [9056] ALPHA_NOT_OR : ~(left_apart_point(A39_204_9, L40_204_9) | left_apart_point(A39_204_9, reverse_line(L40_204_9)))
% 293.42/42.93 -> [9057] ~left_apart_point(A39_204_9, L40_204_9), ~left_apart_point(A39_204_9, reverse_line(L40_204_9))
% 293.42/42.93
% 293.42/42.93 [9057] CLOSURE : ~left_apart_point(A39_204_9, L40_204_9)
% 293.42/42.93
% 293.42/42.93 [8714] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_101_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_101_8)))
% 293.42/42.93 -> [8775] ~unequally_directed_lines(skolem_N7979, M38_101_8)
% 293.42/42.93 -> [8776] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_101_8))
% 293.42/42.93
% 293.42/42.93 [8776] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_101_8))
% 293.42/42.93
% 293.42/42.93 [8775] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_101_8)
% 293.42/42.93
% 293.42/42.93 [8393] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [8398] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.93 -> [8399] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [8398] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [8399] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [8665] ((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))))
% 293.42/42.93
% 293.42/42.93 [8665] 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))))
% 293.42/42.93 -> [8668] ~(unequally_directed_lines(skolem_N7979, M38_97_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_97_8)))
% 293.42/42.93 -> [8669] (left_convergent_lines(skolem_N7979, M38_97_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_97_8)))
% 293.42/42.93
% 293.42/42.93 [8669] BETA_OR : (left_convergent_lines(skolem_N7979, M38_97_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_97_8)))
% 293.42/42.93 -> [8673] left_convergent_lines(skolem_N7979, M38_97_8)
% 293.42/42.93 -> [8674] left_convergent_lines(skolem_N7979, reverse_line(M38_97_8))
% 293.42/42.93
% 293.42/42.93 [8674] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [8908] ~(left_apart_point(A39_188_9, L40_188_9) | left_apart_point(A39_188_9, reverse_line(L40_188_9)))
% 293.42/42.93
% 293.42/42.93 [8908] ALPHA_NOT_OR : ~(left_apart_point(A39_188_9, L40_188_9) | left_apart_point(A39_188_9, reverse_line(L40_188_9)))
% 293.42/42.93 -> [8913] ~left_apart_point(A39_188_9, L40_188_9), ~left_apart_point(A39_188_9, reverse_line(L40_188_9))
% 293.42/42.93
% 293.42/42.93 [8913] CLOSURE : ~left_apart_point(A39_188_9, L40_188_9)
% 293.42/42.93
% 293.42/42.93 [8673] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [9001] ~(left_apart_point(A39_194_9, L40_194_9) | left_apart_point(A39_194_9, reverse_line(L40_194_9)))
% 293.42/42.93
% 293.42/42.93 [9001] ALPHA_NOT_OR : ~(left_apart_point(A39_194_9, L40_194_9) | left_apart_point(A39_194_9, reverse_line(L40_194_9)))
% 293.42/42.93 -> [9002] ~left_apart_point(A39_194_9, L40_194_9), ~left_apart_point(A39_194_9, reverse_line(L40_194_9))
% 293.42/42.93
% 293.42/42.93 [9002] CLOSURE : ~left_apart_point(A39_194_9, L40_194_9)
% 293.42/42.93
% 293.42/42.93 [8668] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_97_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_97_8)))
% 293.42/42.93 -> [8724] ~unequally_directed_lines(skolem_N7979, M38_97_8)
% 293.42/42.93 -> [8725] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_97_8))
% 293.42/42.93
% 293.42/42.93 [8725] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_97_8))
% 293.42/42.93
% 293.42/42.93 [8724] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_97_8)
% 293.42/42.93
% 293.42/42.93 [276] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.93 -> [520] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.93
% 293.42/42.93 [520] 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))))
% 293.42/42.93 -> [957] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.93
% 293.42/42.93 [957] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.93 -> [959] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.93 -> [960] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.93
% 293.42/42.93 [959] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.93
% 293.42/42.93 [960] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.93 -> [3404] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.93 -> [3405] distinct_points(skolem_C8282, skolem_B8181)
% 293.42/42.93
% 293.42/42.93 [3404] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.93
% 293.42/42.93 [3405] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.93 -> [4990] ~distinct_lines(N27_133_3, N27_133_3)
% 293.42/42.93
% 293.42/42.93 [4990] 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))))
% 293.42/42.93 -> [5026] (distinct_lines(N27_133_3, N27_133_3) => (distinct_lines(N27_133_3, N27_133_3) | distinct_lines(N27_133_3, N27_133_3)))
% 293.42/42.93
% 293.42/42.93 [5026] BETA_IMPLY : (distinct_lines(N27_133_3, N27_133_3) => (distinct_lines(N27_133_3, N27_133_3) | distinct_lines(N27_133_3, N27_133_3)))
% 293.42/42.93 -> [5027] ~distinct_lines(N27_133_3, N27_133_3)
% 293.42/42.93 -> [5028] (distinct_lines(N27_133_3, N27_133_3) | distinct_lines(N27_133_3, N27_133_3))
% 293.42/42.93
% 293.42/42.93 [5028] BETA_OR : (distinct_lines(N27_133_3, N27_133_3) | distinct_lines(N27_133_3, N27_133_3))
% 293.42/42.93 -> [5032] distinct_lines(N27_133_3, N27_133_3)
% 293.42/42.93 -> [5033] distinct_lines(N27_133_3, N27_133_3)
% 293.42/42.93
% 293.42/42.93 [5033] CLOSURE : distinct_lines(N27_133_3, N27_133_3)
% 293.42/42.93
% 293.42/42.93 [5032] CLOSURE : distinct_lines(N27_133_3, N27_133_3)
% 293.42/42.93
% 293.42/42.93 [5027] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.93 -> [5138] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [5138] 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))))
% 293.42/42.93 -> [5405] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878)))
% 293.42/42.93
% 293.42/42.93 [5405] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878)))
% 293.42/42.93 -> [5406] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93 -> [5407] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [5406] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93
% 293.42/42.93 [5407] 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)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878))
% 293.42/42.93 -> [8968] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.93 -> [8969] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [8968] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [8969] 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))))))
% 293.42/42.93 -> [9543] ((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)))))
% 293.42/42.93
% 293.42/42.93 [9543] 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)))))
% 293.42/42.93 -> [9548] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [9549] ((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))))
% 293.42/42.93
% 293.42/42.93 [9548] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [9584] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93 -> [9585] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [9585] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [9584] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93
% 293.42/42.93 [9549] 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))))
% 293.42/42.93 -> [10775] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [10776] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.93
% 293.42/42.93 [10775] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [10806] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [10806] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [10776] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [10783] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [10783] 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)))))
% 293.42/42.93 -> [11947] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.93
% 293.42/42.93 [11947] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.93 -> [11948] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.93 -> [11949] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.93
% 293.42/42.93 [11949] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [11952] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.93 -> [11953] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [11952] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [11953] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [12247] ((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))))
% 293.42/42.93
% 293.42/42.93 [12247] 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))))
% 293.42/42.93 -> [12248] ~(unequally_directed_lines(skolem_N7979, M38_264_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_264_8)))
% 293.42/42.93 -> [12249] (left_convergent_lines(skolem_N7979, M38_264_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_264_8)))
% 293.42/42.93
% 293.42/42.93 [12248] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_264_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_264_8)))
% 293.42/42.93 -> [12349] ~unequally_directed_lines(skolem_N7979, M38_264_8)
% 293.42/42.93 -> [12350] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_264_8))
% 293.42/42.93
% 293.42/42.93 [12350] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_264_8))
% 293.42/42.93
% 293.42/42.93 [12349] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_264_8)
% 293.42/42.93
% 293.42/42.93 [12249] BETA_OR : (left_convergent_lines(skolem_N7979, M38_264_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_264_8)))
% 293.42/42.93 -> [12255] left_convergent_lines(skolem_N7979, M38_264_8)
% 293.42/42.93 -> [12256] left_convergent_lines(skolem_N7979, reverse_line(M38_264_8))
% 293.42/42.93
% 293.42/42.93 [12256] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [12814] ~(left_apart_point(A39_556_9, L40_556_9) | left_apart_point(A39_556_9, reverse_line(L40_556_9)))
% 293.42/42.93
% 293.42/42.93 [12814] ALPHA_NOT_OR : ~(left_apart_point(A39_556_9, L40_556_9) | left_apart_point(A39_556_9, reverse_line(L40_556_9)))
% 293.42/42.93 -> [12816] ~left_apart_point(A39_556_9, L40_556_9), ~left_apart_point(A39_556_9, reverse_line(L40_556_9))
% 293.42/42.93
% 293.42/42.93 [12816] CLOSURE : ~left_apart_point(A39_556_9, L40_556_9)
% 293.42/42.93
% 293.42/42.93 [12255] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [12908] ~(left_apart_point(A39_571_9, L40_571_9) | left_apart_point(A39_571_9, reverse_line(L40_571_9)))
% 293.42/42.93
% 293.42/42.93 [12908] ALPHA_NOT_OR : ~(left_apart_point(A39_571_9, L40_571_9) | left_apart_point(A39_571_9, reverse_line(L40_571_9)))
% 293.42/42.93 -> [12912] ~left_apart_point(A39_571_9, L40_571_9), ~left_apart_point(A39_571_9, reverse_line(L40_571_9))
% 293.42/42.93
% 293.42/42.93 [12912] CLOSURE : ~left_apart_point(A39_571_9, L40_571_9)
% 293.42/42.93
% 293.42/42.93 [11948] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.93 -> [11999] ~line(skolem_M7878)
% 293.42/42.93 -> [12000] ~line(skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [11999] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [12327] ((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))))
% 293.42/42.93
% 293.42/42.93 [12327] 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))))
% 293.42/42.93 -> [12328] ~(unequally_directed_lines(skolem_N7979, M38_268_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_268_8)))
% 293.42/42.93 -> [12329] (left_convergent_lines(skolem_N7979, M38_268_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_268_8)))
% 293.42/42.93
% 293.42/42.93 [12329] BETA_OR : (left_convergent_lines(skolem_N7979, M38_268_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_268_8)))
% 293.42/42.93 -> [12332] left_convergent_lines(skolem_N7979, M38_268_8)
% 293.42/42.93 -> [12333] left_convergent_lines(skolem_N7979, reverse_line(M38_268_8))
% 293.42/42.93
% 293.42/42.93 [12333] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [12895] ~(left_apart_point(A39_569_9, L40_569_9) | left_apart_point(A39_569_9, reverse_line(L40_569_9)))
% 293.42/42.93
% 293.42/42.93 [12895] ALPHA_NOT_OR : ~(left_apart_point(A39_569_9, L40_569_9) | left_apart_point(A39_569_9, reverse_line(L40_569_9)))
% 293.42/42.93 -> [12898] ~left_apart_point(A39_569_9, L40_569_9), ~left_apart_point(A39_569_9, reverse_line(L40_569_9))
% 293.42/42.93
% 293.42/42.93 [12898] CLOSURE : ~left_apart_point(A39_569_9, L40_569_9)
% 293.42/42.93
% 293.42/42.93 [12332] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [12968] ~(left_apart_point(A39_575_9, L40_575_9) | left_apart_point(A39_575_9, reverse_line(L40_575_9)))
% 293.42/42.93
% 293.42/42.93 [12968] ALPHA_NOT_OR : ~(left_apart_point(A39_575_9, L40_575_9) | left_apart_point(A39_575_9, reverse_line(L40_575_9)))
% 293.42/42.93 -> [12970] ~left_apart_point(A39_575_9, L40_575_9), ~left_apart_point(A39_575_9, reverse_line(L40_575_9))
% 293.42/42.93
% 293.42/42.93 [12970] CLOSURE : ~left_apart_point(A39_575_9, L40_575_9)
% 293.42/42.93
% 293.42/42.93 [12328] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_268_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_268_8)))
% 293.42/42.93 -> [12475] ~unequally_directed_lines(skolem_N7979, M38_268_8)
% 293.42/42.93 -> [12476] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_268_8))
% 293.42/42.93
% 293.42/42.93 [12476] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_268_8))
% 293.42/42.93
% 293.42/42.93 [12475] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_268_8)
% 293.42/42.93
% 293.42/42.93 [12000] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [12334] ((unequally_directed_lines(skolem_N7979, M38_269_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_269_8))) => (left_convergent_lines(skolem_N7979, M38_269_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_269_8))))
% 293.42/42.93
% 293.42/42.93 [12334] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_269_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_269_8))) => (left_convergent_lines(skolem_N7979, M38_269_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_269_8))))
% 293.42/42.93 -> [12335] ~(unequally_directed_lines(skolem_N7979, M38_269_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_269_8)))
% 293.42/42.93 -> [12336] (left_convergent_lines(skolem_N7979, M38_269_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_269_8)))
% 293.42/42.93
% 293.42/42.93 [12336] BETA_OR : (left_convergent_lines(skolem_N7979, M38_269_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_269_8)))
% 293.42/42.93 -> [12342] left_convergent_lines(skolem_N7979, M38_269_8)
% 293.42/42.93 -> [12343] left_convergent_lines(skolem_N7979, reverse_line(M38_269_8))
% 293.42/42.93
% 293.42/42.93 [12342] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [12973] ~(left_apart_point(A39_576_9, L40_576_9) | left_apart_point(A39_576_9, reverse_line(L40_576_9)))
% 293.42/42.93
% 293.42/42.93 [12973] ALPHA_NOT_OR : ~(left_apart_point(A39_576_9, L40_576_9) | left_apart_point(A39_576_9, reverse_line(L40_576_9)))
% 293.42/42.93 -> [12976] ~left_apart_point(A39_576_9, L40_576_9), ~left_apart_point(A39_576_9, reverse_line(L40_576_9))
% 293.42/42.93
% 293.42/42.93 [12976] CLOSURE : ~left_apart_point(A39_576_9, L40_576_9)
% 293.42/42.93
% 293.42/42.93 [12343] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [12903] ~(left_apart_point(A39_570_9, L40_570_9) | left_apart_point(A39_570_9, reverse_line(L40_570_9)))
% 293.42/42.93
% 293.42/42.93 [12903] ALPHA_NOT_OR : ~(left_apart_point(A39_570_9, L40_570_9) | left_apart_point(A39_570_9, reverse_line(L40_570_9)))
% 293.42/42.93 -> [12904] ~left_apart_point(A39_570_9, L40_570_9), ~left_apart_point(A39_570_9, reverse_line(L40_570_9))
% 293.42/42.93
% 293.42/42.93 [12904] CLOSURE : ~left_apart_point(A39_570_9, L40_570_9)
% 293.42/42.93
% 293.42/42.93 [12335] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_269_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_269_8)))
% 293.42/42.93 -> [12481] ~unequally_directed_lines(skolem_N7979, M38_269_8)
% 293.42/42.93 -> [12482] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_269_8))
% 293.42/42.93
% 293.42/42.93 [12482] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_269_8))
% 293.42/42.93
% 293.42/42.93 [12481] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_269_8)
% 293.42/42.93
% 293.42/42.93 [260] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.93 -> [296] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))
% 293.42/42.93 -> [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)))
% 293.42/42.93
% 293.42/42.93 [296] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.93 -> [1169] ~distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.93
% 293.42/42.93 [1169] 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))))
% 293.42/42.93 -> [2550] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.93
% 293.42/42.93 [2550] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.93 -> [2551] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.93 -> [2552] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.93
% 293.42/42.93 [2551] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.93
% 293.42/42.93 [2552] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.93 -> [2859] distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.93 -> [2860] distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.93
% 293.42/42.93 [2860] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.93
% 293.42/42.93 [2859] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.93 -> [2928] ~distinct_lines(N27_35_3, N27_35_3)
% 293.42/42.93
% 293.42/42.93 [2928] 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))))
% 293.42/42.93 -> [2948] (distinct_lines(N27_35_3, N27_35_3) => (distinct_lines(N27_35_3, N27_35_3) | distinct_lines(N27_35_3, N27_35_3)))
% 293.42/42.93
% 293.42/42.93 [2948] 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)))
% 293.42/42.93 -> [2949] ~distinct_lines(N27_35_3, N27_35_3)
% 293.42/42.93 -> [2950] (distinct_lines(N27_35_3, N27_35_3) | distinct_lines(N27_35_3, N27_35_3))
% 293.42/42.93
% 293.42/42.93 [2950] BETA_OR : (distinct_lines(N27_35_3, N27_35_3) | distinct_lines(N27_35_3, N27_35_3))
% 293.42/42.93 -> [2952] distinct_lines(N27_35_3, N27_35_3)
% 293.42/42.93 -> [2953] distinct_lines(N27_35_3, N27_35_3)
% 293.42/42.93
% 293.42/42.93 [2953] CLOSURE : distinct_lines(N27_35_3, N27_35_3)
% 293.42/42.93
% 293.42/42.93 [2952] CLOSURE : distinct_lines(N27_35_3, N27_35_3)
% 293.42/42.93
% 293.42/42.93 [2949] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.93 -> [2975] ~unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93
% 293.42/42.93 [2975] 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))))
% 293.42/42.93 -> [3077] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.93
% 293.42/42.93 [3077] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.93 -> [3078] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93 -> [3079] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.93
% 293.42/42.93 [3078] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93
% 293.42/42.93 [3079] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.93 -> [3469] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93 -> [3470] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93
% 293.42/42.93 [3470] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93
% 293.42/42.93 [3469] 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))))))
% 293.42/42.93 -> [4809] ((unequally_directed_lines(skolem_L7777, skolem_L7777) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777))) => ((unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) & unequally_directed_lines(skolem_L7777, reverse_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))))))
% 293.42/42.93
% 293.42/42.93 [4809] 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_A8080, skolem_B8181)) & unequally_directed_lines(skolem_L7777, reverse_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))))))
% 293.42/42.93 -> [4810] ~(unequally_directed_lines(skolem_L7777, skolem_L7777) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777)))
% 293.42/42.93 -> [4811] ((unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) & unequally_directed_lines(skolem_L7777, reverse_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)))))
% 293.42/42.93
% 293.42/42.93 [4811] 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)))) | (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))))
% 293.42/42.93 -> [4815] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))
% 293.42/42.93 -> [4816] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))
% 293.42/42.93
% 293.42/42.93 [4815] ALPHA_AND : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))
% 293.42/42.93 -> [4829] unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)), unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.93
% 293.42/42.93 [4829] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.93
% 293.42/42.93 [4817] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.93
% 293.42/42.93 [4810] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_L7777) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777)))
% 293.42/42.93 -> [6792] ~unequally_directed_lines(skolem_L7777, skolem_L7777)
% 293.42/42.93 -> [6793] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777))
% 293.42/42.93
% 293.42/42.93 [6792] 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)))))
% 293.42/42.93 -> [6969] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.93
% 293.42/42.93 [6969] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.93 -> [6971] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.93 -> [6972] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.93
% 293.42/42.93 [6971] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.93 -> [7025] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93 -> [7026] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93
% 293.42/42.93 [7025] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [7200] ((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))))
% 293.42/42.93
% 293.42/42.93 [7200] 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))))
% 293.42/42.93 -> [7201] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [7202] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93
% 293.42/42.93 [7201] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [7238] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93 -> [7239] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [7239] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [7238] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93
% 293.42/42.93 [7202] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [7205] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93 -> [7206] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [7206] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [7349] ~(left_apart_point(A39_103_9, L40_103_9) | left_apart_point(A39_103_9, reverse_line(L40_103_9)))
% 293.42/42.93
% 293.42/42.93 [7349] ALPHA_NOT_OR : ~(left_apart_point(A39_103_9, L40_103_9) | left_apart_point(A39_103_9, reverse_line(L40_103_9)))
% 293.42/42.93 -> [7352] ~left_apart_point(A39_103_9, L40_103_9), ~left_apart_point(A39_103_9, reverse_line(L40_103_9))
% 293.42/42.93
% 293.42/42.93 [7352] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.93 -> [7683] ~(left_convergent_lines(L41_43_10, M42_43_10) | left_convergent_lines(L41_43_10, reverse_line(M42_43_10)))
% 293.42/42.93
% 293.42/42.93 [7683] ALPHA_NOT_OR : ~(left_convergent_lines(L41_43_10, M42_43_10) | left_convergent_lines(L41_43_10, reverse_line(M42_43_10)))
% 293.42/42.93 -> [7687] ~left_convergent_lines(L41_43_10, M42_43_10), ~left_convergent_lines(L41_43_10, reverse_line(M42_43_10))
% 293.42/42.93
% 293.42/42.93 [7687] CLOSURE : ~left_convergent_lines(L41_43_10, M42_43_10)
% 293.42/42.93
% 293.42/42.93 [7205] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [7381] ~(left_apart_point(A39_107_9, L40_107_9) | left_apart_point(A39_107_9, reverse_line(L40_107_9)))
% 293.42/42.93
% 293.42/42.93 [7381] ALPHA_NOT_OR : ~(left_apart_point(A39_107_9, L40_107_9) | left_apart_point(A39_107_9, reverse_line(L40_107_9)))
% 293.42/42.93 -> [7382] ~left_apart_point(A39_107_9, L40_107_9), ~left_apart_point(A39_107_9, reverse_line(L40_107_9))
% 293.42/42.93
% 293.42/42.93 [7382] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.93 -> [7758] ~(left_convergent_lines(L41_46_10, M42_46_10) | left_convergent_lines(L41_46_10, reverse_line(M42_46_10)))
% 293.42/42.93
% 293.42/42.93 [7758] ALPHA_NOT_OR : ~(left_convergent_lines(L41_46_10, M42_46_10) | left_convergent_lines(L41_46_10, reverse_line(M42_46_10)))
% 293.42/42.93 -> [7762] ~left_convergent_lines(L41_46_10, M42_46_10), ~left_convergent_lines(L41_46_10, reverse_line(M42_46_10))
% 293.42/42.93
% 293.42/42.93 [7762] CLOSURE : ~left_convergent_lines(L41_46_10, M42_46_10)
% 293.42/42.93
% 293.42/42.93 [7026] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [7121] ((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))))
% 293.42/42.93
% 293.42/42.93 [7121] 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))))
% 293.42/42.93 -> [7122] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [7123] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93
% 293.42/42.93 [7122] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [7208] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93 -> [7209] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [7209] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [7208] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93
% 293.42/42.93 [7123] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [7124] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93 -> [7125] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [7125] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [7437] ~(left_apart_point(A39_112_9, L40_112_9) | left_apart_point(A39_112_9, reverse_line(L40_112_9)))
% 293.42/42.93
% 293.42/42.93 [7437] ALPHA_NOT_OR : ~(left_apart_point(A39_112_9, L40_112_9) | left_apart_point(A39_112_9, reverse_line(L40_112_9)))
% 293.42/42.93 -> [7440] ~left_apart_point(A39_112_9, L40_112_9), ~left_apart_point(A39_112_9, reverse_line(L40_112_9))
% 293.42/42.93
% 293.42/42.93 [7440] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.93 -> [7744] ~(left_convergent_lines(L41_45_10, M42_45_10) | left_convergent_lines(L41_45_10, reverse_line(M42_45_10)))
% 293.42/42.93
% 293.42/42.93 [7744] ALPHA_NOT_OR : ~(left_convergent_lines(L41_45_10, M42_45_10) | left_convergent_lines(L41_45_10, reverse_line(M42_45_10)))
% 293.42/42.93 -> [7747] ~left_convergent_lines(L41_45_10, M42_45_10), ~left_convergent_lines(L41_45_10, reverse_line(M42_45_10))
% 293.42/42.93
% 293.42/42.93 [7747] CLOSURE : ~left_convergent_lines(L41_45_10, M42_45_10)
% 293.42/42.93
% 293.42/42.93 [7124] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [7356] ~(left_apart_point(A39_104_9, L40_104_9) | left_apart_point(A39_104_9, reverse_line(L40_104_9)))
% 293.42/42.93
% 293.42/42.93 [7356] ALPHA_NOT_OR : ~(left_apart_point(A39_104_9, L40_104_9) | left_apart_point(A39_104_9, reverse_line(L40_104_9)))
% 293.42/42.93 -> [7358] ~left_apart_point(A39_104_9, L40_104_9), ~left_apart_point(A39_104_9, reverse_line(L40_104_9))
% 293.42/42.93
% 293.42/42.93 [7358] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.93 -> [8267] ~(left_convergent_lines(L41_49_10, M42_49_10) | left_convergent_lines(L41_49_10, reverse_line(M42_49_10)))
% 293.42/42.93
% 293.42/42.93 [8267] ALPHA_NOT_OR : ~(left_convergent_lines(L41_49_10, M42_49_10) | left_convergent_lines(L41_49_10, reverse_line(M42_49_10)))
% 293.42/42.93 -> [8271] ~left_convergent_lines(L41_49_10, M42_49_10), ~left_convergent_lines(L41_49_10, reverse_line(M42_49_10))
% 293.42/42.93
% 293.42/42.93 [8271] CLOSURE : ~left_convergent_lines(L41_49_10, M42_49_10)
% 293.42/42.93
% 293.42/42.93 [6972] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.93 -> [6979] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93 -> [6980] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.93
% 293.42/42.93 [6979] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93
% 293.42/42.93 [6980] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [7246] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.93
% 293.42/42.93 [7246] 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))))
% 293.42/42.93 -> [7247] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [7248] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93
% 293.42/42.93 [7247] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [7273] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93 -> [7274] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [7273] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [7274] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [7248] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [7249] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93 -> [7250] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [7250] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [7384] ~(left_apart_point(A39_108_9, L40_108_9) | left_apart_point(A39_108_9, reverse_line(L40_108_9)))
% 293.42/42.93
% 293.42/42.93 [7384] ALPHA_NOT_OR : ~(left_apart_point(A39_108_9, L40_108_9) | left_apart_point(A39_108_9, reverse_line(L40_108_9)))
% 293.42/42.93 -> [7385] ~left_apart_point(A39_108_9, L40_108_9), ~left_apart_point(A39_108_9, reverse_line(L40_108_9))
% 293.42/42.93
% 293.42/42.93 [7385] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.93 -> [8288] ~(left_convergent_lines(L41_50_10, M42_50_10) | left_convergent_lines(L41_50_10, reverse_line(M42_50_10)))
% 293.42/42.93
% 293.42/42.93 [8288] ALPHA_NOT_OR : ~(left_convergent_lines(L41_50_10, M42_50_10) | left_convergent_lines(L41_50_10, reverse_line(M42_50_10)))
% 293.42/42.93 -> [8289] ~left_convergent_lines(L41_50_10, M42_50_10), ~left_convergent_lines(L41_50_10, reverse_line(M42_50_10))
% 293.42/42.93
% 293.42/42.93 [8289] CLOSURE : ~left_convergent_lines(L41_50_10, M42_50_10)
% 293.42/42.93
% 293.42/42.93 [7249] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [8083] ~(left_apart_point(A39_145_9, L40_145_9) | left_apart_point(A39_145_9, reverse_line(L40_145_9)))
% 293.42/42.93
% 293.42/42.93 [8083] ALPHA_NOT_OR : ~(left_apart_point(A39_145_9, L40_145_9) | left_apart_point(A39_145_9, reverse_line(L40_145_9)))
% 293.42/42.93 -> [8084] ~left_apart_point(A39_145_9, L40_145_9), ~left_apart_point(A39_145_9, reverse_line(L40_145_9))
% 293.42/42.93
% 293.42/42.93 [8084] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.93 -> [8330] ~(left_convergent_lines(L41_53_10, M42_53_10) | left_convergent_lines(L41_53_10, reverse_line(M42_53_10)))
% 293.42/42.93
% 293.42/42.93 [8330] ALPHA_NOT_OR : ~(left_convergent_lines(L41_53_10, M42_53_10) | left_convergent_lines(L41_53_10, reverse_line(M42_53_10)))
% 293.42/42.93 -> [8331] ~left_convergent_lines(L41_53_10, M42_53_10), ~left_convergent_lines(L41_53_10, reverse_line(M42_53_10))
% 293.42/42.93
% 293.42/42.93 [8331] CLOSURE : ~left_convergent_lines(L41_53_10, M42_53_10)
% 293.42/42.93
% 293.42/42.93 [6793] 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)))))
% 293.42/42.93 -> [6929] ((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)))))
% 293.42/42.93
% 293.42/42.93 [6929] 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)))))
% 293.42/42.93 -> [6930] ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.93 -> [6931] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))
% 293.42/42.93
% 293.42/42.93 [6930] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.93 -> [6984] ~line(skolem_L7777)
% 293.42/42.93 -> [6985] ~line(line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.93
% 293.42/42.93 [6985] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [7097] ((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))))
% 293.42/42.93
% 293.42/42.93 [7097] 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))))
% 293.42/42.93 -> [7098] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [7099] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93
% 293.42/42.93 [7099] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [7105] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93 -> [7106] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [7106] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [7316] ~(left_apart_point(A39_101_9, L40_101_9) | left_apart_point(A39_101_9, reverse_line(L40_101_9)))
% 293.42/42.93
% 293.42/42.93 [7316] ALPHA_NOT_OR : ~(left_apart_point(A39_101_9, L40_101_9) | left_apart_point(A39_101_9, reverse_line(L40_101_9)))
% 293.42/42.93 -> [7317] ~left_apart_point(A39_101_9, L40_101_9), ~left_apart_point(A39_101_9, reverse_line(L40_101_9))
% 293.42/42.93
% 293.42/42.93 [7317] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.93 -> [7626] ~(left_convergent_lines(L41_42_10, M42_42_10) | left_convergent_lines(L41_42_10, reverse_line(M42_42_10)))
% 293.42/42.93
% 293.42/42.93 [7626] ALPHA_NOT_OR : ~(left_convergent_lines(L41_42_10, M42_42_10) | left_convergent_lines(L41_42_10, reverse_line(M42_42_10)))
% 293.42/42.93 -> [7632] ~left_convergent_lines(L41_42_10, M42_42_10), ~left_convergent_lines(L41_42_10, reverse_line(M42_42_10))
% 293.42/42.93
% 293.42/42.93 [7632] CLOSURE : ~left_convergent_lines(L41_42_10, M42_42_10)
% 293.42/42.93
% 293.42/42.93 [7105] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [7369] ~(left_apart_point(A39_106_9, L40_106_9) | left_apart_point(A39_106_9, reverse_line(L40_106_9)))
% 293.42/42.93
% 293.42/42.93 [7369] ALPHA_NOT_OR : ~(left_apart_point(A39_106_9, L40_106_9) | left_apart_point(A39_106_9, reverse_line(L40_106_9)))
% 293.42/42.93 -> [7372] ~left_apart_point(A39_106_9, L40_106_9), ~left_apart_point(A39_106_9, reverse_line(L40_106_9))
% 293.42/42.93
% 293.42/42.93 [7372] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.93 -> [7697] ~(left_convergent_lines(L41_44_10, M42_44_10) | left_convergent_lines(L41_44_10, reverse_line(M42_44_10)))
% 293.42/42.93
% 293.42/42.93 [7697] ALPHA_NOT_OR : ~(left_convergent_lines(L41_44_10, M42_44_10) | left_convergent_lines(L41_44_10, reverse_line(M42_44_10)))
% 293.42/42.93 -> [7698] ~left_convergent_lines(L41_44_10, M42_44_10), ~left_convergent_lines(L41_44_10, reverse_line(M42_44_10))
% 293.42/42.93
% 293.42/42.93 [7698] CLOSURE : ~left_convergent_lines(L41_44_10, M42_44_10)
% 293.42/42.93
% 293.42/42.93 [7098] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [7144] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93 -> [7145] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [7145] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [7144] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93
% 293.42/42.93 [6984] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [7130] ((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))))
% 293.42/42.93
% 293.42/42.93 [7130] 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))))
% 293.42/42.93 -> [7131] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [7132] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93
% 293.42/42.93 [7131] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [7215] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93 -> [7216] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [7216] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [7215] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93
% 293.42/42.93 [7132] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [7137] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93 -> [7138] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [7138] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [7367] ~(left_apart_point(A39_105_9, L40_105_9) | left_apart_point(A39_105_9, reverse_line(L40_105_9)))
% 293.42/42.93
% 293.42/42.93 [7367] ALPHA_NOT_OR : ~(left_apart_point(A39_105_9, L40_105_9) | left_apart_point(A39_105_9, reverse_line(L40_105_9)))
% 293.42/42.93 -> [7368] ~left_apart_point(A39_105_9, L40_105_9), ~left_apart_point(A39_105_9, reverse_line(L40_105_9))
% 293.42/42.93
% 293.42/42.93 [7368] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.93 -> [7505] ~(left_convergent_lines(L41_39_10, M42_39_10) | left_convergent_lines(L41_39_10, reverse_line(M42_39_10)))
% 293.42/42.93
% 293.42/42.93 [7505] ALPHA_NOT_OR : ~(left_convergent_lines(L41_39_10, M42_39_10) | left_convergent_lines(L41_39_10, reverse_line(M42_39_10)))
% 293.42/42.93 -> [7508] ~left_convergent_lines(L41_39_10, M42_39_10), ~left_convergent_lines(L41_39_10, reverse_line(M42_39_10))
% 293.42/42.93
% 293.42/42.93 [7508] CLOSURE : ~left_convergent_lines(L41_39_10, M42_39_10)
% 293.42/42.93
% 293.42/42.93 [7137] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [8140] ~(left_apart_point(A39_150_9, L40_150_9) | left_apart_point(A39_150_9, reverse_line(L40_150_9)))
% 293.42/42.93
% 293.42/42.93 [8140] ALPHA_NOT_OR : ~(left_apart_point(A39_150_9, L40_150_9) | left_apart_point(A39_150_9, reverse_line(L40_150_9)))
% 293.42/42.93 -> [8141] ~left_apart_point(A39_150_9, L40_150_9), ~left_apart_point(A39_150_9, reverse_line(L40_150_9))
% 293.42/42.93
% 293.42/42.93 [8141] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.93 -> [8423] ~(left_convergent_lines(L41_56_10, M42_56_10) | left_convergent_lines(L41_56_10, reverse_line(M42_56_10)))
% 293.42/42.93
% 293.42/42.93 [8423] ALPHA_NOT_OR : ~(left_convergent_lines(L41_56_10, M42_56_10) | left_convergent_lines(L41_56_10, reverse_line(M42_56_10)))
% 293.42/42.93 -> [8424] ~left_convergent_lines(L41_56_10, M42_56_10), ~left_convergent_lines(L41_56_10, reverse_line(M42_56_10))
% 293.42/42.93
% 293.42/42.93 [8424] CLOSURE : ~left_convergent_lines(L41_56_10, M42_56_10)
% 293.42/42.93
% 293.42/42.93 [6931] 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))))
% 293.42/42.93 -> [6935] unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.93 -> [6936] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.93
% 293.42/42.93 [6935] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.93
% 293.42/42.93 [6936] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [9477] ((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))))
% 293.42/42.93
% 293.42/42.93 [9477] 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))))
% 293.42/42.93 -> [9478] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [9479] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93
% 293.42/42.93 [9478] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [9501] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93 -> [9502] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [9502] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [9501] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93
% 293.42/42.93 [9479] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [9480] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93 -> [9481] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [9480] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [9815] ~(left_apart_point(A39_255_9, L40_255_9) | left_apart_point(A39_255_9, reverse_line(L40_255_9)))
% 293.42/42.93
% 293.42/42.93 [9815] ALPHA_NOT_OR : ~(left_apart_point(A39_255_9, L40_255_9) | left_apart_point(A39_255_9, reverse_line(L40_255_9)))
% 293.42/42.93 -> [9816] ~left_apart_point(A39_255_9, L40_255_9), ~left_apart_point(A39_255_9, reverse_line(L40_255_9))
% 293.42/42.93
% 293.42/42.93 [9816] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.93 -> [10130] ~(left_convergent_lines(L41_67_10, M42_67_10) | left_convergent_lines(L41_67_10, reverse_line(M42_67_10)))
% 293.42/42.93
% 293.42/42.93 [10130] ALPHA_NOT_OR : ~(left_convergent_lines(L41_67_10, M42_67_10) | left_convergent_lines(L41_67_10, reverse_line(M42_67_10)))
% 293.42/42.93 -> [10133] ~left_convergent_lines(L41_67_10, M42_67_10), ~left_convergent_lines(L41_67_10, reverse_line(M42_67_10))
% 293.42/42.93
% 293.42/42.93 [10133] CLOSURE : ~left_convergent_lines(L41_67_10, M42_67_10)
% 293.42/42.93
% 293.42/42.93 [9481] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [9755] ~(left_apart_point(A39_248_9, L40_248_9) | left_apart_point(A39_248_9, reverse_line(L40_248_9)))
% 293.42/42.93
% 293.42/42.93 [9755] ALPHA_NOT_OR : ~(left_apart_point(A39_248_9, L40_248_9) | left_apart_point(A39_248_9, reverse_line(L40_248_9)))
% 293.42/42.93 -> [9756] ~left_apart_point(A39_248_9, L40_248_9), ~left_apart_point(A39_248_9, reverse_line(L40_248_9))
% 293.42/42.93
% 293.42/42.93 [9756] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.93 -> [10194] ~(left_convergent_lines(L41_68_10, M42_68_10) | left_convergent_lines(L41_68_10, reverse_line(M42_68_10)))
% 293.42/42.93
% 293.42/42.93 [10194] ALPHA_NOT_OR : ~(left_convergent_lines(L41_68_10, M42_68_10) | left_convergent_lines(L41_68_10, reverse_line(M42_68_10)))
% 293.42/42.93 -> [10197] ~left_convergent_lines(L41_68_10, M42_68_10), ~left_convergent_lines(L41_68_10, reverse_line(M42_68_10))
% 293.42/42.93
% 293.42/42.93 [10197] CLOSURE : ~left_convergent_lines(L41_68_10, M42_68_10)
% 293.42/42.93
% 293.42/42.93 [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)))
% 293.42/42.93 -> [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)))
% 293.42/42.93
% 293.42/42.93 [370] 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)))
% 293.42/42.93 -> [373] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 293.42/42.93 -> [374] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [373] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.93 -> [973] ~distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.93
% 293.42/42.93 [973] 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))))
% 293.42/42.93 -> [1404] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.93
% 293.42/42.93 [1404] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.93 -> [1407] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.93 -> [1408] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.93
% 293.42/42.93 [1407] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.93
% 293.42/42.93 [1408] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.93 -> [3467] distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.93 -> [3468] distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.93
% 293.42/42.93 [3468] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.93
% 293.42/42.93 [3467] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.93 -> [4176] ~distinct_lines(N27_96_3, N27_96_3)
% 293.42/42.93
% 293.42/42.93 [4176] 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))))
% 293.42/42.93 -> [4229] (distinct_lines(N27_96_3, N27_96_3) => (distinct_lines(N27_96_3, N27_96_3) | distinct_lines(N27_96_3, N27_96_3)))
% 293.42/42.93
% 293.42/42.93 [4229] 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)))
% 293.42/42.93 -> [4231] ~distinct_lines(N27_96_3, N27_96_3)
% 293.42/42.93 -> [4232] (distinct_lines(N27_96_3, N27_96_3) | distinct_lines(N27_96_3, N27_96_3))
% 293.42/42.93
% 293.42/42.93 [4232] BETA_OR : (distinct_lines(N27_96_3, N27_96_3) | distinct_lines(N27_96_3, N27_96_3))
% 293.42/42.93 -> [5523] distinct_lines(N27_96_3, N27_96_3)
% 293.42/42.93 -> [5524] distinct_lines(N27_96_3, N27_96_3)
% 293.42/42.93
% 293.42/42.93 [5524] CLOSURE : distinct_lines(N27_96_3, N27_96_3)
% 293.42/42.93
% 293.42/42.93 [5523] CLOSURE : distinct_lines(N27_96_3, N27_96_3)
% 293.42/42.93
% 293.42/42.93 [4231] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.93 -> [5630] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [5630] 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))))
% 293.42/42.93 -> [5767] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878)))
% 293.42/42.93
% 293.42/42.93 [5767] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878)))
% 293.42/42.93 -> [5769] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93 -> [5770] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [5769] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93
% 293.42/42.93 [5770] 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)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878))
% 293.42/42.93 -> [11258] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.93 -> [11259] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [11258] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [11259] 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))))))
% 293.42/42.93 -> [15681] ((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)))))
% 293.42/42.93
% 293.42/42.93 [15681] 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)))))
% 293.42/42.93 -> [15690] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [15691] ((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))))
% 293.42/42.93
% 293.42/42.93 [15690] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [15748] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93 -> [15749] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [15749] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [15748] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93
% 293.42/42.93 [15691] 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))))
% 293.42/42.93 -> [21095] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [21096] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.93
% 293.42/42.93 [21095] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [21110] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [21110] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [21096] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [21097] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [21097] 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)))))
% 293.42/42.93 -> [21906] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.93
% 293.42/42.93 [21906] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.93 -> [21908] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.93 -> [21909] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.93
% 293.42/42.93 [21908] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.93 -> [21972] ~line(skolem_M7878)
% 293.42/42.93 -> [21973] ~line(skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [21972] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [22125] ((unequally_directed_lines(skolem_N7979, M38_879_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_879_8))) => (left_convergent_lines(skolem_N7979, M38_879_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_879_8))))
% 293.42/42.93
% 293.42/42.93 [22125] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_879_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_879_8))) => (left_convergent_lines(skolem_N7979, M38_879_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_879_8))))
% 293.42/42.93 -> [22126] ~(unequally_directed_lines(skolem_N7979, M38_879_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_879_8)))
% 293.42/42.93 -> [22127] (left_convergent_lines(skolem_N7979, M38_879_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_879_8)))
% 293.42/42.93
% 293.42/42.93 [22126] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_879_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_879_8)))
% 293.42/42.93 -> [22169] ~unequally_directed_lines(skolem_N7979, M38_879_8)
% 293.42/42.93 -> [22170] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_879_8))
% 293.42/42.93
% 293.42/42.93 [22170] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_879_8))
% 293.42/42.93
% 293.42/42.93 [22169] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_879_8)
% 293.42/42.93
% 293.42/42.93 [22127] BETA_OR : (left_convergent_lines(skolem_N7979, M38_879_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_879_8)))
% 293.42/42.93 -> [22130] left_convergent_lines(skolem_N7979, M38_879_8)
% 293.42/42.93 -> [22131] left_convergent_lines(skolem_N7979, reverse_line(M38_879_8))
% 293.42/42.93
% 293.42/42.93 [22131] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [22309] ~(left_apart_point(A39_1719_9, L40_1719_9) | left_apart_point(A39_1719_9, reverse_line(L40_1719_9)))
% 293.42/42.93
% 293.42/42.93 [22309] ALPHA_NOT_OR : ~(left_apart_point(A39_1719_9, L40_1719_9) | left_apart_point(A39_1719_9, reverse_line(L40_1719_9)))
% 293.42/42.93 -> [22314] ~left_apart_point(A39_1719_9, L40_1719_9), ~left_apart_point(A39_1719_9, reverse_line(L40_1719_9))
% 293.42/42.93
% 293.42/42.93 [22314] CLOSURE : ~left_apart_point(A39_1719_9, L40_1719_9)
% 293.42/42.93
% 293.42/42.93 [22130] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [22403] ~(left_apart_point(A39_1737_9, L40_1737_9) | left_apart_point(A39_1737_9, reverse_line(L40_1737_9)))
% 293.42/42.93
% 293.42/42.93 [22403] ALPHA_NOT_OR : ~(left_apart_point(A39_1737_9, L40_1737_9) | left_apart_point(A39_1737_9, reverse_line(L40_1737_9)))
% 293.42/42.93 -> [22404] ~left_apart_point(A39_1737_9, L40_1737_9), ~left_apart_point(A39_1737_9, reverse_line(L40_1737_9))
% 293.42/42.93
% 293.42/42.93 [22404] CLOSURE : ~left_apart_point(A39_1737_9, L40_1737_9)
% 293.42/42.93
% 293.42/42.93 [21973] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [22083] ((unequally_directed_lines(skolem_N7979, M38_877_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_877_8))) => (left_convergent_lines(skolem_N7979, M38_877_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_877_8))))
% 293.42/42.93
% 293.42/42.93 [22083] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_877_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_877_8))) => (left_convergent_lines(skolem_N7979, M38_877_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_877_8))))
% 293.42/42.93 -> [22086] ~(unequally_directed_lines(skolem_N7979, M38_877_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_877_8)))
% 293.42/42.93 -> [22087] (left_convergent_lines(skolem_N7979, M38_877_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_877_8)))
% 293.42/42.93
% 293.42/42.93 [22086] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_877_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_877_8)))
% 293.42/42.93 -> [22136] ~unequally_directed_lines(skolem_N7979, M38_877_8)
% 293.42/42.93 -> [22137] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_877_8))
% 293.42/42.93
% 293.42/42.93 [22136] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_877_8)
% 293.42/42.93
% 293.42/42.93 [22137] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_877_8))
% 293.42/42.93
% 293.42/42.93 [22087] BETA_OR : (left_convergent_lines(skolem_N7979, M38_877_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_877_8)))
% 293.42/42.93 -> [22091] left_convergent_lines(skolem_N7979, M38_877_8)
% 293.42/42.93 -> [22092] left_convergent_lines(skolem_N7979, reverse_line(M38_877_8))
% 293.42/42.93
% 293.42/42.93 [22092] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [22278] ~(left_apart_point(A39_1714_9, L40_1714_9) | left_apart_point(A39_1714_9, reverse_line(L40_1714_9)))
% 293.42/42.93
% 293.42/42.93 [22278] ALPHA_NOT_OR : ~(left_apart_point(A39_1714_9, L40_1714_9) | left_apart_point(A39_1714_9, reverse_line(L40_1714_9)))
% 293.42/42.93 -> [22282] ~left_apart_point(A39_1714_9, L40_1714_9), ~left_apart_point(A39_1714_9, reverse_line(L40_1714_9))
% 293.42/42.93
% 293.42/42.93 [22282] CLOSURE : ~left_apart_point(A39_1714_9, L40_1714_9)
% 293.42/42.93
% 293.42/42.93 [22091] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [23506] ~(left_apart_point(A39_1888_9, L40_1888_9) | left_apart_point(A39_1888_9, reverse_line(L40_1888_9)))
% 293.42/42.93
% 293.42/42.93 [23506] ALPHA_NOT_OR : ~(left_apart_point(A39_1888_9, L40_1888_9) | left_apart_point(A39_1888_9, reverse_line(L40_1888_9)))
% 293.42/42.93 -> [23508] ~left_apart_point(A39_1888_9, L40_1888_9), ~left_apart_point(A39_1888_9, reverse_line(L40_1888_9))
% 293.42/42.93
% 293.42/42.93 [23508] CLOSURE : ~left_apart_point(A39_1888_9, L40_1888_9)
% 293.42/42.93
% 293.42/42.93 [21909] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [21924] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.93 -> [21925] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [21924] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [21925] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [24099] ((unequally_directed_lines(skolem_N7979, M38_1008_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1008_8))) => (left_convergent_lines(skolem_N7979, M38_1008_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1008_8))))
% 293.42/42.93
% 293.42/42.93 [24099] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1008_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1008_8))) => (left_convergent_lines(skolem_N7979, M38_1008_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1008_8))))
% 293.42/42.93 -> [24100] ~(unequally_directed_lines(skolem_N7979, M38_1008_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1008_8)))
% 293.42/42.93 -> [24101] (left_convergent_lines(skolem_N7979, M38_1008_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1008_8)))
% 293.42/42.93
% 293.42/42.93 [24101] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1008_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1008_8)))
% 293.42/42.93 -> [24107] left_convergent_lines(skolem_N7979, M38_1008_8)
% 293.42/42.93 -> [24108] left_convergent_lines(skolem_N7979, reverse_line(M38_1008_8))
% 293.42/42.93
% 293.42/42.93 [24107] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [24295] ~(left_apart_point(A39_2013_9, L40_2013_9) | left_apart_point(A39_2013_9, reverse_line(L40_2013_9)))
% 293.42/42.93
% 293.42/42.93 [24295] ALPHA_NOT_OR : ~(left_apart_point(A39_2013_9, L40_2013_9) | left_apart_point(A39_2013_9, reverse_line(L40_2013_9)))
% 293.42/42.93 -> [24296] ~left_apart_point(A39_2013_9, L40_2013_9), ~left_apart_point(A39_2013_9, reverse_line(L40_2013_9))
% 293.42/42.93
% 293.42/42.93 [24296] CLOSURE : ~left_apart_point(A39_2013_9, L40_2013_9)
% 293.42/42.93
% 293.42/42.93 [24108] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [24302] ~(left_apart_point(A39_2014_9, L40_2014_9) | left_apart_point(A39_2014_9, reverse_line(L40_2014_9)))
% 293.42/42.93
% 293.42/42.93 [24302] ALPHA_NOT_OR : ~(left_apart_point(A39_2014_9, L40_2014_9) | left_apart_point(A39_2014_9, reverse_line(L40_2014_9)))
% 293.42/42.93 -> [24307] ~left_apart_point(A39_2014_9, L40_2014_9), ~left_apart_point(A39_2014_9, reverse_line(L40_2014_9))
% 293.42/42.93
% 293.42/42.93 [24307] CLOSURE : ~left_apart_point(A39_2014_9, L40_2014_9)
% 293.42/42.93
% 293.42/42.93 [24100] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1008_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1008_8)))
% 293.42/42.93 -> [24114] ~unequally_directed_lines(skolem_N7979, M38_1008_8)
% 293.42/42.93 -> [24115] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1008_8))
% 293.42/42.93
% 293.42/42.93 [24114] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1008_8)
% 293.42/42.93
% 293.42/42.93 [24115] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1008_8))
% 293.42/42.93
% 293.42/42.93 [374] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.93 -> [483] ~distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.93
% 293.42/42.93 [483] 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))))
% 293.42/42.93 -> [653] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.93
% 293.42/42.93 [653] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.93 -> [660] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.93 -> [661] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.93
% 293.42/42.93 [660] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.93
% 293.42/42.93 [661] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.93 -> [3270] distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.93 -> [3271] distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.93
% 293.42/42.93 [3271] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.93
% 293.42/42.93 [3270] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.93 -> [3757] ~distinct_lines(N27_77_3, N27_77_3)
% 293.42/42.93
% 293.42/42.93 [3757] 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))))
% 293.42/42.93 -> [3820] (distinct_lines(N27_77_3, N27_77_3) => (distinct_lines(N27_77_3, N27_77_3) | distinct_lines(N27_77_3, N27_77_3)))
% 293.42/42.93
% 293.42/42.93 [3820] BETA_IMPLY : (distinct_lines(N27_77_3, N27_77_3) => (distinct_lines(N27_77_3, N27_77_3) | distinct_lines(N27_77_3, N27_77_3)))
% 293.42/42.93 -> [3826] ~distinct_lines(N27_77_3, N27_77_3)
% 293.42/42.93 -> [3827] (distinct_lines(N27_77_3, N27_77_3) | distinct_lines(N27_77_3, N27_77_3))
% 293.42/42.93
% 293.42/42.93 [3827] BETA_OR : (distinct_lines(N27_77_3, N27_77_3) | distinct_lines(N27_77_3, N27_77_3))
% 293.42/42.93 -> [3832] distinct_lines(N27_77_3, N27_77_3)
% 293.42/42.93 -> [3833] distinct_lines(N27_77_3, N27_77_3)
% 293.42/42.93
% 293.42/42.93 [3833] CLOSURE : distinct_lines(N27_77_3, N27_77_3)
% 293.42/42.93
% 293.42/42.93 [3832] CLOSURE : distinct_lines(N27_77_3, N27_77_3)
% 293.42/42.93
% 293.42/42.93 [3826] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.93 -> [3913] ~unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93
% 293.42/42.93 [3913] 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))))
% 293.42/42.93 -> [4069] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.93
% 293.42/42.93 [4069] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.93 -> [4070] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93 -> [4071] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.93
% 293.42/42.93 [4070] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93
% 293.42/42.93 [4071] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.93 -> [4760] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93 -> [4761] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93
% 293.42/42.93 [4761] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93
% 293.42/42.93 [4760] 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))))))
% 293.42/42.93 -> [7474] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_65_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_65_6))) | (unequally_directed_lines(skolem_N7979, N34_65_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_65_6)))))
% 293.42/42.93
% 293.42/42.93 [7474] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_65_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_65_6))) | (unequally_directed_lines(skolem_N7979, N34_65_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_65_6)))))
% 293.42/42.93 -> [7479] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [7480] ((unequally_directed_lines(skolem_M7878, N34_65_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_65_6))) | (unequally_directed_lines(skolem_N7979, N34_65_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_65_6))))
% 293.42/42.93
% 293.42/42.93 [7479] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [7516] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93 -> [7517] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [7517] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [7516] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93
% 293.42/42.93 [7480] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_65_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_65_6))) | (unequally_directed_lines(skolem_N7979, N34_65_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_65_6))))
% 293.42/42.93 -> [11942] (unequally_directed_lines(skolem_M7878, N34_65_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_65_6)))
% 293.42/42.93 -> [11943] (unequally_directed_lines(skolem_N7979, N34_65_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_65_6)))
% 293.42/42.93
% 293.42/42.93 [11943] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_65_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_65_6)))
% 293.42/42.93 -> [11946] unequally_directed_lines(skolem_N7979, N34_65_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_65_6))
% 293.42/42.93
% 293.42/42.93 [11946] 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)))))
% 293.42/42.93 -> [12680] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.93
% 293.42/42.93 [12680] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.93 -> [12683] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.93 -> [12684] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.93
% 293.42/42.93 [12683] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.93 -> [12787] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93 -> [12788] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93
% 293.42/42.93 [12788] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [16674] ((unequally_directed_lines(skolem_N7979, M38_530_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_530_8))) => (left_convergent_lines(skolem_N7979, M38_530_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_530_8))))
% 293.42/42.93
% 293.42/42.93 [16674] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_530_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_530_8))) => (left_convergent_lines(skolem_N7979, M38_530_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_530_8))))
% 293.42/42.93 -> [16676] ~(unequally_directed_lines(skolem_N7979, M38_530_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_530_8)))
% 293.42/42.93 -> [16677] (left_convergent_lines(skolem_N7979, M38_530_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_530_8)))
% 293.42/42.93
% 293.42/42.93 [16677] BETA_OR : (left_convergent_lines(skolem_N7979, M38_530_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_530_8)))
% 293.42/42.93 -> [16678] left_convergent_lines(skolem_N7979, M38_530_8)
% 293.42/42.93 -> [16679] left_convergent_lines(skolem_N7979, reverse_line(M38_530_8))
% 293.42/42.93
% 293.42/42.93 [16679] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [17208] ~(left_apart_point(A39_1053_9, L40_1053_9) | left_apart_point(A39_1053_9, reverse_line(L40_1053_9)))
% 293.42/42.93
% 293.42/42.93 [17208] ALPHA_NOT_OR : ~(left_apart_point(A39_1053_9, L40_1053_9) | left_apart_point(A39_1053_9, reverse_line(L40_1053_9)))
% 293.42/42.93 -> [17209] ~left_apart_point(A39_1053_9, L40_1053_9), ~left_apart_point(A39_1053_9, reverse_line(L40_1053_9))
% 293.42/42.93
% 293.42/42.93 [17209] CLOSURE : ~left_apart_point(A39_1053_9, L40_1053_9)
% 293.42/42.93
% 293.42/42.93 [16678] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [17357] ~(left_apart_point(A39_1081_9, L40_1081_9) | left_apart_point(A39_1081_9, reverse_line(L40_1081_9)))
% 293.42/42.93
% 293.42/42.93 [17357] ALPHA_NOT_OR : ~(left_apart_point(A39_1081_9, L40_1081_9) | left_apart_point(A39_1081_9, reverse_line(L40_1081_9)))
% 293.42/42.93 -> [17358] ~left_apart_point(A39_1081_9, L40_1081_9), ~left_apart_point(A39_1081_9, reverse_line(L40_1081_9))
% 293.42/42.93
% 293.42/42.93 [17358] CLOSURE : ~left_apart_point(A39_1081_9, L40_1081_9)
% 293.42/42.93
% 293.42/42.93 [16676] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_530_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_530_8)))
% 293.42/42.93 -> [16852] ~unequally_directed_lines(skolem_N7979, M38_530_8)
% 293.42/42.93 -> [16853] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_530_8))
% 293.42/42.93
% 293.42/42.93 [16853] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_530_8))
% 293.42/42.93
% 293.42/42.93 [16852] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_530_8)
% 293.42/42.93
% 293.42/42.93 [12787] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [16752] ((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))))
% 293.42/42.93
% 293.42/42.93 [16752] 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))))
% 293.42/42.93 -> [16753] ~(unequally_directed_lines(skolem_N7979, M38_537_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_537_8)))
% 293.42/42.93 -> [16754] (left_convergent_lines(skolem_N7979, M38_537_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_537_8)))
% 293.42/42.93
% 293.42/42.93 [16754] BETA_OR : (left_convergent_lines(skolem_N7979, M38_537_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_537_8)))
% 293.42/42.93 -> [16765] left_convergent_lines(skolem_N7979, M38_537_8)
% 293.42/42.93 -> [16766] left_convergent_lines(skolem_N7979, reverse_line(M38_537_8))
% 293.42/42.93
% 293.42/42.93 [16766] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [17263] ~(left_apart_point(A39_1064_9, L40_1064_9) | left_apart_point(A39_1064_9, reverse_line(L40_1064_9)))
% 293.42/42.93
% 293.42/42.93 [17263] ALPHA_NOT_OR : ~(left_apart_point(A39_1064_9, L40_1064_9) | left_apart_point(A39_1064_9, reverse_line(L40_1064_9)))
% 293.42/42.93 -> [17264] ~left_apart_point(A39_1064_9, L40_1064_9), ~left_apart_point(A39_1064_9, reverse_line(L40_1064_9))
% 293.42/42.93
% 293.42/42.93 [17264] CLOSURE : ~left_apart_point(A39_1064_9, L40_1064_9)
% 293.42/42.93
% 293.42/42.93 [16765] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [17407] ~(left_apart_point(A39_1087_9, L40_1087_9) | left_apart_point(A39_1087_9, reverse_line(L40_1087_9)))
% 293.42/42.93
% 293.42/42.93 [17407] ALPHA_NOT_OR : ~(left_apart_point(A39_1087_9, L40_1087_9) | left_apart_point(A39_1087_9, reverse_line(L40_1087_9)))
% 293.42/42.93 -> [17411] ~left_apart_point(A39_1087_9, L40_1087_9), ~left_apart_point(A39_1087_9, reverse_line(L40_1087_9))
% 293.42/42.93
% 293.42/42.93 [17411] CLOSURE : ~left_apart_point(A39_1087_9, L40_1087_9)
% 293.42/42.93
% 293.42/42.93 [16753] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_537_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_537_8)))
% 293.42/42.93 -> [16913] ~unequally_directed_lines(skolem_N7979, M38_537_8)
% 293.42/42.93 -> [16914] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_537_8))
% 293.42/42.93
% 293.42/42.93 [16914] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_537_8))
% 293.42/42.93
% 293.42/42.93 [16913] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_537_8)
% 293.42/42.93
% 293.42/42.93 [12684] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.93 -> [12689] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93 -> [12690] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.93
% 293.42/42.93 [12689] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93
% 293.42/42.93 [12690] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [19505] ((unequally_directed_lines(skolem_N7979, M38_703_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_703_8))) => (left_convergent_lines(skolem_N7979, M38_703_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_703_8))))
% 293.42/42.93
% 293.42/42.93 [19505] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_703_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_703_8))) => (left_convergent_lines(skolem_N7979, M38_703_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_703_8))))
% 293.42/42.93 -> [19506] ~(unequally_directed_lines(skolem_N7979, M38_703_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_703_8)))
% 293.42/42.93 -> [19507] (left_convergent_lines(skolem_N7979, M38_703_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_703_8)))
% 293.42/42.93
% 293.42/42.93 [19507] BETA_OR : (left_convergent_lines(skolem_N7979, M38_703_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_703_8)))
% 293.42/42.93 -> [19511] left_convergent_lines(skolem_N7979, M38_703_8)
% 293.42/42.93 -> [19512] left_convergent_lines(skolem_N7979, reverse_line(M38_703_8))
% 293.42/42.93
% 293.42/42.93 [19512] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [19668] ~(left_apart_point(A39_1367_9, L40_1367_9) | left_apart_point(A39_1367_9, reverse_line(L40_1367_9)))
% 293.42/42.93
% 293.42/42.93 [19668] ALPHA_NOT_OR : ~(left_apart_point(A39_1367_9, L40_1367_9) | left_apart_point(A39_1367_9, reverse_line(L40_1367_9)))
% 293.42/42.93 -> [19671] ~left_apart_point(A39_1367_9, L40_1367_9), ~left_apart_point(A39_1367_9, reverse_line(L40_1367_9))
% 293.42/42.93
% 293.42/42.93 [19671] CLOSURE : ~left_apart_point(A39_1367_9, L40_1367_9)
% 293.42/42.93
% 293.42/42.93 [19511] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [19695] ~(left_apart_point(A39_1369_9, L40_1369_9) | left_apart_point(A39_1369_9, reverse_line(L40_1369_9)))
% 293.42/42.93
% 293.42/42.93 [19695] ALPHA_NOT_OR : ~(left_apart_point(A39_1369_9, L40_1369_9) | left_apart_point(A39_1369_9, reverse_line(L40_1369_9)))
% 293.42/42.93 -> [19697] ~left_apart_point(A39_1369_9, L40_1369_9), ~left_apart_point(A39_1369_9, reverse_line(L40_1369_9))
% 293.42/42.93
% 293.42/42.93 [19697] CLOSURE : ~left_apart_point(A39_1369_9, L40_1369_9)
% 293.42/42.93
% 293.42/42.93 [19506] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_703_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_703_8)))
% 293.42/42.93 -> [19541] ~unequally_directed_lines(skolem_N7979, M38_703_8)
% 293.42/42.93 -> [19542] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_703_8))
% 293.42/42.93
% 293.42/42.93 [19542] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_703_8))
% 293.42/42.93
% 293.42/42.93 [19541] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_703_8)
% 293.42/42.93
% 293.42/42.93 [11942] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_65_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_65_6)))
% 293.42/42.93 -> [11995] unequally_directed_lines(skolem_M7878, N34_65_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_65_6))
% 293.42/42.93
% 293.42/42.93 [11995] 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)))))
% 293.42/42.93 -> [12776] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.93
% 293.42/42.93 [12776] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))))
% 293.42/42.93 -> [12778] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.93 -> [12779] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.93
% 293.42/42.93 [12778] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.93 -> [12876] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93 -> [12877] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93
% 293.42/42.93 [12876] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [16728] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.93
% 293.42/42.93 [16728] 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))))
% 293.42/42.93 -> [16731] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [16732] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93
% 293.42/42.93 [16731] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [16885] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93 -> [16886] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [16886] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [16885] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [16732] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [16735] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93 -> [16736] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [16736] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [17324] ~(left_apart_point(A39_1076_9, L40_1076_9) | left_apart_point(A39_1076_9, reverse_line(L40_1076_9)))
% 293.42/42.93
% 293.42/42.93 [17324] ALPHA_NOT_OR : ~(left_apart_point(A39_1076_9, L40_1076_9) | left_apart_point(A39_1076_9, reverse_line(L40_1076_9)))
% 293.42/42.93 -> [17325] ~left_apart_point(A39_1076_9, L40_1076_9), ~left_apart_point(A39_1076_9, reverse_line(L40_1076_9))
% 293.42/42.93
% 293.42/42.93 [17325] CLOSURE : ~left_apart_point(A39_1076_9, L40_1076_9)
% 293.42/42.93
% 293.42/42.93 [16735] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [17554] ~(left_apart_point(A39_1116_9, L40_1116_9) | left_apart_point(A39_1116_9, reverse_line(L40_1116_9)))
% 293.42/42.93
% 293.42/42.93 [17554] ALPHA_NOT_OR : ~(left_apart_point(A39_1116_9, L40_1116_9) | left_apart_point(A39_1116_9, reverse_line(L40_1116_9)))
% 293.42/42.93 -> [17555] ~left_apart_point(A39_1116_9, L40_1116_9), ~left_apart_point(A39_1116_9, reverse_line(L40_1116_9))
% 293.42/42.93
% 293.42/42.93 [17555] CLOSURE : ~left_apart_point(A39_1116_9, L40_1116_9)
% 293.42/42.93
% 293.42/42.93 [12877] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [16625] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.93
% 293.42/42.93 [16625] 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))))
% 293.42/42.93 -> [16629] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [16630] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93
% 293.42/42.93 [16630] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [16638] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93 -> [16639] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [16639] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [17133] ~(left_apart_point(A39_1040_9, L40_1040_9) | left_apart_point(A39_1040_9, reverse_line(L40_1040_9)))
% 293.42/42.93
% 293.42/42.93 [17133] ALPHA_NOT_OR : ~(left_apart_point(A39_1040_9, L40_1040_9) | left_apart_point(A39_1040_9, reverse_line(L40_1040_9)))
% 293.42/42.93 -> [17136] ~left_apart_point(A39_1040_9, L40_1040_9), ~left_apart_point(A39_1040_9, reverse_line(L40_1040_9))
% 293.42/42.93
% 293.42/42.93 [17136] CLOSURE : ~left_apart_point(A39_1040_9, L40_1040_9)
% 293.42/42.93
% 293.42/42.93 [16638] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [17326] ~(left_apart_point(A39_1077_9, L40_1077_9) | left_apart_point(A39_1077_9, reverse_line(L40_1077_9)))
% 293.42/42.93
% 293.42/42.93 [17326] ALPHA_NOT_OR : ~(left_apart_point(A39_1077_9, L40_1077_9) | left_apart_point(A39_1077_9, reverse_line(L40_1077_9)))
% 293.42/42.93 -> [17327] ~left_apart_point(A39_1077_9, L40_1077_9), ~left_apart_point(A39_1077_9, reverse_line(L40_1077_9))
% 293.42/42.93
% 293.42/42.93 [17327] CLOSURE : ~left_apart_point(A39_1077_9, L40_1077_9)
% 293.42/42.93
% 293.42/42.93 [16629] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [16835] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93 -> [16836] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [16836] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [16835] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [12779] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))))
% 293.42/42.93 -> [12782] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93 -> [12783] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))))
% 293.42/42.93
% 293.42/42.93 [12782] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181))))
% 293.42/42.93
% 293.42/42.93 [12783] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [19517] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.93
% 293.42/42.93 [19517] 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))))
% 293.42/42.93 -> [19520] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [19521] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93
% 293.42/42.93 [19521] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [19522] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93 -> [19523] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [19523] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [19674] ~(left_apart_point(A39_1368_9, L40_1368_9) | left_apart_point(A39_1368_9, reverse_line(L40_1368_9)))
% 293.42/42.93
% 293.42/42.93 [19674] ALPHA_NOT_OR : ~(left_apart_point(A39_1368_9, L40_1368_9) | left_apart_point(A39_1368_9, reverse_line(L40_1368_9)))
% 293.42/42.93 -> [19676] ~left_apart_point(A39_1368_9, L40_1368_9), ~left_apart_point(A39_1368_9, reverse_line(L40_1368_9))
% 293.42/42.93
% 293.42/42.93 [19676] CLOSURE : ~left_apart_point(A39_1368_9, L40_1368_9)
% 293.42/42.93
% 293.42/42.93 [19522] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [19724] ~(left_apart_point(A39_1371_9, L40_1371_9) | left_apart_point(A39_1371_9, reverse_line(L40_1371_9)))
% 293.42/42.93
% 293.42/42.93 [19724] ALPHA_NOT_OR : ~(left_apart_point(A39_1371_9, L40_1371_9) | left_apart_point(A39_1371_9, reverse_line(L40_1371_9)))
% 293.42/42.93 -> [19725] ~left_apart_point(A39_1371_9, L40_1371_9), ~left_apart_point(A39_1371_9, reverse_line(L40_1371_9))
% 293.42/42.93
% 293.42/42.93 [19725] CLOSURE : ~left_apart_point(A39_1371_9, L40_1371_9)
% 293.42/42.93
% 293.42/42.93 [19520] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [19562] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93 -> [19563] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [19563] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [19562] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [162] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.42/42.93 -> [206] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.93 -> [207] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.93
% 293.42/42.93 [207] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.93 -> [442] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.93
% 293.42/42.93 [442] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.42/42.93 -> [443] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.93 -> [444] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.93
% 293.42/42.93 [444] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.93 -> [449] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.93
% 293.42/42.93 [449] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.93 -> [452] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.42/42.93 -> [453] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [453] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.93 -> [1380] ~distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.93
% 293.42/42.93 [1380] 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))))
% 293.42/42.93 -> [1470] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.93
% 293.42/42.93 [1470] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.93 -> [1475] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.93 -> [1476] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.93
% 293.42/42.93 [1475] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.93
% 293.42/42.93 [1476] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.93 -> [4183] distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.93 -> [4184] distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.93
% 293.42/42.93 [4184] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.93
% 293.42/42.93 [4183] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.93 -> [4561] ~distinct_lines(N27_117_3, N27_117_3)
% 293.42/42.93
% 293.42/42.93 [4561] 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))))
% 293.42/42.93 -> [4621] (distinct_lines(N27_117_3, N27_117_3) => (distinct_lines(N27_117_3, N27_117_3) | distinct_lines(N27_117_3, N27_117_3)))
% 293.42/42.93
% 293.42/42.93 [4621] 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)))
% 293.42/42.93 -> [4624] ~distinct_lines(N27_117_3, N27_117_3)
% 293.42/42.93 -> [4625] (distinct_lines(N27_117_3, N27_117_3) | distinct_lines(N27_117_3, N27_117_3))
% 293.42/42.93
% 293.42/42.93 [4625] BETA_OR : (distinct_lines(N27_117_3, N27_117_3) | distinct_lines(N27_117_3, N27_117_3))
% 293.42/42.93 -> [4630] distinct_lines(N27_117_3, N27_117_3)
% 293.42/42.93 -> [4631] distinct_lines(N27_117_3, N27_117_3)
% 293.42/42.93
% 293.42/42.93 [4630] CLOSURE : distinct_lines(N27_117_3, N27_117_3)
% 293.42/42.93
% 293.42/42.93 [4631] CLOSURE : distinct_lines(N27_117_3, N27_117_3)
% 293.42/42.93
% 293.42/42.93 [4624] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.93 -> [4910] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [4910] 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))))
% 293.42/42.93 -> [5004] (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)))
% 293.42/42.93
% 293.42/42.93 [5004] 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)))
% 293.42/42.93 -> [5005] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93 -> [5006] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [5005] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [5006] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.93 -> [8188] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.93 -> [8189] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [8188] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [8189] 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))))))
% 293.42/42.93 -> [9374] ((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)))))
% 293.42/42.93
% 293.42/42.93 [9374] 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)))))
% 293.42/42.93 -> [9375] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [9376] ((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))))
% 293.42/42.93
% 293.42/42.93 [9375] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [9391] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93 -> [9392] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [9392] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [9391] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93
% 293.42/42.93 [9376] 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))))
% 293.42/42.93 -> [9855] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [9856] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.93
% 293.42/42.93 [9855] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [9889] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [9889] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [9856] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [9865] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [9865] 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)))))
% 293.42/42.93 -> [9929] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.93
% 293.42/42.93 [9929] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.93 -> [9930] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.93 -> [9931] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.93
% 293.42/42.93 [9930] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.93 -> [9940] ~line(skolem_M7878)
% 293.42/42.93 -> [9941] ~line(skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [9941] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [9999] ((unequally_directed_lines(skolem_N7979, M38_158_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_158_8))) => (left_convergent_lines(skolem_N7979, M38_158_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_158_8))))
% 293.42/42.93
% 293.42/42.93 [9999] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_158_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_158_8))) => (left_convergent_lines(skolem_N7979, M38_158_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_158_8))))
% 293.42/42.93 -> [10003] ~(unequally_directed_lines(skolem_N7979, M38_158_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_158_8)))
% 293.42/42.93 -> [10004] (left_convergent_lines(skolem_N7979, M38_158_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_158_8)))
% 293.42/42.93
% 293.42/42.93 [10003] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_158_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_158_8)))
% 293.42/42.93 -> [10052] ~unequally_directed_lines(skolem_N7979, M38_158_8)
% 293.42/42.93 -> [10053] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_158_8))
% 293.42/42.93
% 293.42/42.93 [10053] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_158_8))
% 293.42/42.93
% 293.42/42.93 [10052] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_158_8)
% 293.42/42.93
% 293.42/42.93 [10004] BETA_OR : (left_convergent_lines(skolem_N7979, M38_158_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_158_8)))
% 293.42/42.93 -> [10007] left_convergent_lines(skolem_N7979, M38_158_8)
% 293.42/42.93 -> [10008] left_convergent_lines(skolem_N7979, reverse_line(M38_158_8))
% 293.42/42.93
% 293.42/42.93 [10008] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [10163] ~(left_apart_point(A39_301_9, L40_301_9) | left_apart_point(A39_301_9, reverse_line(L40_301_9)))
% 293.42/42.93
% 293.42/42.93 [10163] ALPHA_NOT_OR : ~(left_apart_point(A39_301_9, L40_301_9) | left_apart_point(A39_301_9, reverse_line(L40_301_9)))
% 293.42/42.93 -> [10165] ~left_apart_point(A39_301_9, L40_301_9), ~left_apart_point(A39_301_9, reverse_line(L40_301_9))
% 293.42/42.93
% 293.42/42.93 [10165] CLOSURE : ~left_apart_point(A39_301_9, L40_301_9)
% 293.42/42.93
% 293.42/42.93 [10007] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [10252] ~(left_apart_point(A39_315_9, L40_315_9) | left_apart_point(A39_315_9, reverse_line(L40_315_9)))
% 293.42/42.93
% 293.42/42.93 [10252] ALPHA_NOT_OR : ~(left_apart_point(A39_315_9, L40_315_9) | left_apart_point(A39_315_9, reverse_line(L40_315_9)))
% 293.42/42.93 -> [10255] ~left_apart_point(A39_315_9, L40_315_9), ~left_apart_point(A39_315_9, reverse_line(L40_315_9))
% 293.42/42.93
% 293.42/42.93 [10255] CLOSURE : ~left_apart_point(A39_315_9, L40_315_9)
% 293.42/42.93
% 293.42/42.93 [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)))))
% 293.42/42.93 -> [10038] ((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))))
% 293.42/42.93
% 293.42/42.93 [10038] 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))))
% 293.42/42.93 -> [10041] ~(unequally_directed_lines(skolem_N7979, M38_162_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_162_8)))
% 293.42/42.93 -> [10042] (left_convergent_lines(skolem_N7979, M38_162_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_162_8)))
% 293.42/42.93
% 293.42/42.93 [10041] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_162_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_162_8)))
% 293.42/42.93 -> [10151] ~unequally_directed_lines(skolem_N7979, M38_162_8)
% 293.42/42.93 -> [10152] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_162_8))
% 293.42/42.93
% 293.42/42.93 [10152] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_162_8))
% 293.42/42.93
% 293.42/42.93 [10151] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_162_8)
% 293.42/42.93
% 293.42/42.93 [10042] BETA_OR : (left_convergent_lines(skolem_N7979, M38_162_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_162_8)))
% 293.42/42.93 -> [10044] left_convergent_lines(skolem_N7979, M38_162_8)
% 293.42/42.93 -> [10045] left_convergent_lines(skolem_N7979, reverse_line(M38_162_8))
% 293.42/42.93
% 293.42/42.93 [10045] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [10210] ~(left_apart_point(A39_311_9, L40_311_9) | left_apart_point(A39_311_9, reverse_line(L40_311_9)))
% 293.42/42.93
% 293.42/42.93 [10210] ALPHA_NOT_OR : ~(left_apart_point(A39_311_9, L40_311_9) | left_apart_point(A39_311_9, reverse_line(L40_311_9)))
% 293.42/42.93 -> [10211] ~left_apart_point(A39_311_9, L40_311_9), ~left_apart_point(A39_311_9, reverse_line(L40_311_9))
% 293.42/42.93
% 293.42/42.93 [10211] CLOSURE : ~left_apart_point(A39_311_9, L40_311_9)
% 293.42/42.93
% 293.42/42.93 [10044] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [10275] ~(left_apart_point(A39_318_9, L40_318_9) | left_apart_point(A39_318_9, reverse_line(L40_318_9)))
% 293.42/42.93
% 293.42/42.93 [10275] ALPHA_NOT_OR : ~(left_apart_point(A39_318_9, L40_318_9) | left_apart_point(A39_318_9, reverse_line(L40_318_9)))
% 293.42/42.93 -> [10278] ~left_apart_point(A39_318_9, L40_318_9), ~left_apart_point(A39_318_9, reverse_line(L40_318_9))
% 293.42/42.93
% 293.42/42.93 [10278] CLOSURE : ~left_apart_point(A39_318_9, L40_318_9)
% 293.42/42.93
% 293.42/42.93 [9931] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [9933] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.93 -> [9934] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [9933] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [9934] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [10016] ((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))))
% 293.42/42.93
% 293.42/42.93 [10016] 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))))
% 293.42/42.93 -> [10021] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [10022] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93
% 293.42/42.93 [10022] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [10026] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93 -> [10027] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [10027] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [10166] ~(left_apart_point(A39_302_9, L40_302_9) | left_apart_point(A39_302_9, reverse_line(L40_302_9)))
% 293.42/42.93
% 293.42/42.93 [10166] ALPHA_NOT_OR : ~(left_apart_point(A39_302_9, L40_302_9) | left_apart_point(A39_302_9, reverse_line(L40_302_9)))
% 293.42/42.93 -> [10167] ~left_apart_point(A39_302_9, L40_302_9), ~left_apart_point(A39_302_9, reverse_line(L40_302_9))
% 293.42/42.93
% 293.42/42.93 [10167] CLOSURE : ~left_apart_point(A39_302_9, L40_302_9)
% 293.42/42.93
% 293.42/42.93 [10026] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [10224] ~(left_apart_point(A39_312_9, L40_312_9) | left_apart_point(A39_312_9, reverse_line(L40_312_9)))
% 293.42/42.93
% 293.42/42.93 [10224] ALPHA_NOT_OR : ~(left_apart_point(A39_312_9, L40_312_9) | left_apart_point(A39_312_9, reverse_line(L40_312_9)))
% 293.42/42.93 -> [10226] ~left_apart_point(A39_312_9, L40_312_9), ~left_apart_point(A39_312_9, reverse_line(L40_312_9))
% 293.42/42.93
% 293.42/42.93 [10226] CLOSURE : ~left_apart_point(A39_312_9, L40_312_9)
% 293.42/42.93
% 293.42/42.93 [10021] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [10069] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93 -> [10070] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [10070] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [10069] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93
% 293.42/42.93 [452] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.93 -> [693] ~distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.93
% 293.42/42.93 [693] 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))))
% 293.42/42.93 -> [872] (distinct_points(skolem_A8080, skolem_B8181) => (distinct_points(skolem_A8080, skolem_A8080) | distinct_points(skolem_B8181, skolem_A8080)))
% 293.42/42.93
% 293.42/42.93 [872] BETA_IMPLY : (distinct_points(skolem_A8080, skolem_B8181) => (distinct_points(skolem_A8080, skolem_A8080) | distinct_points(skolem_B8181, skolem_A8080)))
% 293.42/42.93 -> [875] ~distinct_points(skolem_A8080, skolem_B8181)
% 293.42/42.93 -> [876] (distinct_points(skolem_A8080, skolem_A8080) | distinct_points(skolem_B8181, skolem_A8080))
% 293.42/42.93
% 293.42/42.93 [875] CLOSURE : ~distinct_points(skolem_A8080, skolem_B8181)
% 293.42/42.93
% 293.42/42.93 [876] BETA_OR : (distinct_points(skolem_A8080, skolem_A8080) | distinct_points(skolem_B8181, skolem_A8080))
% 293.42/42.93 -> [4731] distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.93 -> [4732] distinct_points(skolem_B8181, skolem_A8080)
% 293.42/42.93
% 293.42/42.93 [4731] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 293.42/42.93
% 293.42/42.93 [4732] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.93 -> [5911] ~distinct_lines(N27_177_3, N27_177_3)
% 293.42/42.93
% 293.42/42.93 [5911] 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))))
% 293.42/42.93 -> [5976] (distinct_lines(N27_177_3, N27_177_3) => (distinct_lines(N27_177_3, N27_177_3) | distinct_lines(N27_177_3, N27_177_3)))
% 293.42/42.93
% 293.42/42.93 [5976] BETA_IMPLY : (distinct_lines(N27_177_3, N27_177_3) => (distinct_lines(N27_177_3, N27_177_3) | distinct_lines(N27_177_3, N27_177_3)))
% 293.42/42.93 -> [5979] ~distinct_lines(N27_177_3, N27_177_3)
% 293.42/42.93 -> [5980] (distinct_lines(N27_177_3, N27_177_3) | distinct_lines(N27_177_3, N27_177_3))
% 293.42/42.93
% 293.42/42.93 [5980] BETA_OR : (distinct_lines(N27_177_3, N27_177_3) | distinct_lines(N27_177_3, N27_177_3))
% 293.42/42.93 -> [5984] distinct_lines(N27_177_3, N27_177_3)
% 293.42/42.93 -> [5985] distinct_lines(N27_177_3, N27_177_3)
% 293.42/42.93
% 293.42/42.93 [5984] CLOSURE : distinct_lines(N27_177_3, N27_177_3)
% 293.42/42.93
% 293.42/42.93 [5985] CLOSURE : distinct_lines(N27_177_3, N27_177_3)
% 293.42/42.93
% 293.42/42.93 [5979] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.93 -> [6238] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [6238] 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))))
% 293.42/42.93 -> [6429] (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))))
% 293.42/42.93
% 293.42/42.93 [6429] 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))))
% 293.42/42.93 -> [6430] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93 -> [6431] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.93
% 293.42/42.93 [6430] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [6431] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.93 -> [12964] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93 -> [12965] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [12965] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [12964] 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))))))
% 293.42/42.93 -> [19880] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_253_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_253_6))) | (unequally_directed_lines(skolem_N7979, N34_253_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_253_6)))))
% 293.42/42.93
% 293.42/42.93 [19880] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_253_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_253_6))) | (unequally_directed_lines(skolem_N7979, N34_253_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_253_6)))))
% 293.42/42.93 -> [19886] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [19887] ((unequally_directed_lines(skolem_M7878, N34_253_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_253_6))) | (unequally_directed_lines(skolem_N7979, N34_253_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_253_6))))
% 293.42/42.93
% 293.42/42.93 [19886] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [19905] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93 -> [19906] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [19906] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [19905] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93
% 293.42/42.93 [19887] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_253_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_253_6))) | (unequally_directed_lines(skolem_N7979, N34_253_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_253_6))))
% 293.42/42.93 -> [22723] (unequally_directed_lines(skolem_M7878, N34_253_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_253_6)))
% 293.42/42.93 -> [22724] (unequally_directed_lines(skolem_N7979, N34_253_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_253_6)))
% 293.42/42.93
% 293.42/42.93 [22724] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_253_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_253_6)))
% 293.42/42.93 -> [22728] unequally_directed_lines(skolem_N7979, N34_253_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_253_6))
% 293.42/42.93
% 293.42/42.93 [22728] 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)))))
% 293.42/42.93 -> [22768] ((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)))))
% 293.42/42.93
% 293.42/42.93 [22768] 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)))))
% 293.42/42.93 -> [22771] ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.93 -> [22772] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 293.42/42.93
% 293.42/42.93 [22771] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.93 -> [22782] ~line(reverse_line(skolem_N7979))
% 293.42/42.93 -> [22783] ~line(reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [22782] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [24150] ((unequally_directed_lines(skolem_N7979, M38_1013_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1013_8))) => (left_convergent_lines(skolem_N7979, M38_1013_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1013_8))))
% 293.42/42.93
% 293.42/42.93 [24150] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1013_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1013_8))) => (left_convergent_lines(skolem_N7979, M38_1013_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1013_8))))
% 293.42/42.93 -> [24154] ~(unequally_directed_lines(skolem_N7979, M38_1013_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1013_8)))
% 293.42/42.93 -> [24155] (left_convergent_lines(skolem_N7979, M38_1013_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1013_8)))
% 293.42/42.93
% 293.42/42.93 [24154] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1013_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1013_8)))
% 293.42/42.93 -> [24180] ~unequally_directed_lines(skolem_N7979, M38_1013_8)
% 293.42/42.93 -> [24181] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1013_8))
% 293.42/42.93
% 293.42/42.93 [24181] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1013_8))
% 293.42/42.93
% 293.42/42.93 [24180] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1013_8)
% 293.42/42.93
% 293.42/42.93 [24155] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1013_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1013_8)))
% 293.42/42.93 -> [24160] left_convergent_lines(skolem_N7979, M38_1013_8)
% 293.42/42.93 -> [24161] left_convergent_lines(skolem_N7979, reverse_line(M38_1013_8))
% 293.42/42.93
% 293.42/42.93 [24161] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [24277] ~(left_apart_point(A39_2009_9, L40_2009_9) | left_apart_point(A39_2009_9, reverse_line(L40_2009_9)))
% 293.42/42.93
% 293.42/42.93 [24277] ALPHA_NOT_OR : ~(left_apart_point(A39_2009_9, L40_2009_9) | left_apart_point(A39_2009_9, reverse_line(L40_2009_9)))
% 293.42/42.93 -> [24280] ~left_apart_point(A39_2009_9, L40_2009_9), ~left_apart_point(A39_2009_9, reverse_line(L40_2009_9))
% 293.42/42.93
% 293.42/42.93 [24280] CLOSURE : ~left_apart_point(A39_2009_9, L40_2009_9)
% 293.42/42.93
% 293.42/42.93 [24160] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [24289] ~(left_apart_point(A39_2012_9, L40_2012_9) | left_apart_point(A39_2012_9, reverse_line(L40_2012_9)))
% 293.42/42.93
% 293.42/42.93 [24289] ALPHA_NOT_OR : ~(left_apart_point(A39_2012_9, L40_2012_9) | left_apart_point(A39_2012_9, reverse_line(L40_2012_9)))
% 293.42/42.93 -> [24291] ~left_apart_point(A39_2012_9, L40_2012_9), ~left_apart_point(A39_2012_9, reverse_line(L40_2012_9))
% 293.42/42.93
% 293.42/42.93 [24291] CLOSURE : ~left_apart_point(A39_2012_9, L40_2012_9)
% 293.42/42.93
% 293.42/42.93 [22783] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [24220] ((unequally_directed_lines(skolem_N7979, M38_1021_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1021_8))) => (left_convergent_lines(skolem_N7979, M38_1021_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1021_8))))
% 293.42/42.93
% 293.42/42.93 [24220] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1021_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1021_8))) => (left_convergent_lines(skolem_N7979, M38_1021_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1021_8))))
% 293.42/42.93 -> [24227] ~(unequally_directed_lines(skolem_N7979, M38_1021_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1021_8)))
% 293.42/42.93 -> [24228] (left_convergent_lines(skolem_N7979, M38_1021_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1021_8)))
% 293.42/42.93
% 293.42/42.93 [24227] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1021_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1021_8)))
% 293.42/42.93 -> [24252] ~unequally_directed_lines(skolem_N7979, M38_1021_8)
% 293.42/42.93 -> [24253] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1021_8))
% 293.42/42.93
% 293.42/42.93 [24253] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1021_8))
% 293.42/42.93
% 293.42/42.93 [24252] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1021_8)
% 293.42/42.93
% 293.42/42.93 [24228] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1021_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1021_8)))
% 293.42/42.93 -> [24231] left_convergent_lines(skolem_N7979, M38_1021_8)
% 293.42/42.93 -> [24232] left_convergent_lines(skolem_N7979, reverse_line(M38_1021_8))
% 293.42/42.93
% 293.42/42.93 [24231] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [24336] ~(left_apart_point(A39_2016_9, L40_2016_9) | left_apart_point(A39_2016_9, reverse_line(L40_2016_9)))
% 293.42/42.93
% 293.42/42.93 [24336] ALPHA_NOT_OR : ~(left_apart_point(A39_2016_9, L40_2016_9) | left_apart_point(A39_2016_9, reverse_line(L40_2016_9)))
% 293.42/42.93 -> [24337] ~left_apart_point(A39_2016_9, L40_2016_9), ~left_apart_point(A39_2016_9, reverse_line(L40_2016_9))
% 293.42/42.93
% 293.42/42.93 [24337] CLOSURE : ~left_apart_point(A39_2016_9, L40_2016_9)
% 293.42/42.93
% 293.42/42.93 [24232] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [24525] ~(left_apart_point(A39_2040_9, L40_2040_9) | left_apart_point(A39_2040_9, reverse_line(L40_2040_9)))
% 293.42/42.93
% 293.42/42.93 [24525] ALPHA_NOT_OR : ~(left_apart_point(A39_2040_9, L40_2040_9) | left_apart_point(A39_2040_9, reverse_line(L40_2040_9)))
% 293.42/42.93 -> [24529] ~left_apart_point(A39_2040_9, L40_2040_9), ~left_apart_point(A39_2040_9, reverse_line(L40_2040_9))
% 293.42/42.93
% 293.42/42.93 [24529] CLOSURE : ~left_apart_point(A39_2040_9, L40_2040_9)
% 293.42/42.93
% 293.42/42.93 [22772] 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))))
% 293.42/42.93 -> [22773] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.93 -> [22774] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 293.42/42.93
% 293.42/42.93 [22773] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [22774] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [24818] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.93
% 293.42/42.93 [24818] 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))))
% 293.42/42.93 -> [24823] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [24824] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93
% 293.42/42.93 [24824] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [24827] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93 -> [24828] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [24827] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [24858] ~(left_apart_point(A39_2098_9, L40_2098_9) | left_apart_point(A39_2098_9, reverse_line(L40_2098_9)))
% 293.42/42.93
% 293.42/42.93 [24858] ALPHA_NOT_OR : ~(left_apart_point(A39_2098_9, L40_2098_9) | left_apart_point(A39_2098_9, reverse_line(L40_2098_9)))
% 293.42/42.93 -> [24861] ~left_apart_point(A39_2098_9, L40_2098_9), ~left_apart_point(A39_2098_9, reverse_line(L40_2098_9))
% 293.42/42.93
% 293.42/42.93 [24861] CLOSURE : ~left_apart_point(A39_2098_9, L40_2098_9)
% 293.42/42.93
% 293.42/42.93 [24828] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [24871] ~(left_apart_point(A39_2099_9, L40_2099_9) | left_apart_point(A39_2099_9, reverse_line(L40_2099_9)))
% 293.42/42.93
% 293.42/42.93 [24871] ALPHA_NOT_OR : ~(left_apart_point(A39_2099_9, L40_2099_9) | left_apart_point(A39_2099_9, reverse_line(L40_2099_9)))
% 293.42/42.93 -> [24874] ~left_apart_point(A39_2099_9, L40_2099_9), ~left_apart_point(A39_2099_9, reverse_line(L40_2099_9))
% 293.42/42.93
% 293.42/42.93 [24874] CLOSURE : ~left_apart_point(A39_2099_9, L40_2099_9)
% 293.42/42.93
% 293.42/42.93 [24823] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [24832] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93 -> [24833] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [24833] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [24832] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [22723] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_253_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_253_6)))
% 293.42/42.93 -> [22733] unequally_directed_lines(skolem_M7878, N34_253_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_253_6))
% 293.42/42.93
% 293.42/42.93 [22733] 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)))))
% 293.42/42.93 -> [22752] ((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)))))
% 293.42/42.93
% 293.42/42.93 [22752] 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)))))
% 293.42/42.93 -> [22754] ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.93 -> [22755] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))
% 293.42/42.93
% 293.42/42.93 [22754] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.93 -> [22777] ~line(skolem_L7777)
% 293.42/42.93 -> [22778] ~line(line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.93
% 293.42/42.93 [22777] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [24308] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.93
% 293.42/42.93 [24308] 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))))
% 293.42/42.93 -> [24311] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [24312] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93
% 293.42/42.93 [24312] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [24315] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93 -> [24316] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [24316] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [24424] ~(left_apart_point(A39_2025_9, L40_2025_9) | left_apart_point(A39_2025_9, reverse_line(L40_2025_9)))
% 293.42/42.93
% 293.42/42.93 [24424] ALPHA_NOT_OR : ~(left_apart_point(A39_2025_9, L40_2025_9) | left_apart_point(A39_2025_9, reverse_line(L40_2025_9)))
% 293.42/42.93 -> [24425] ~left_apart_point(A39_2025_9, L40_2025_9), ~left_apart_point(A39_2025_9, reverse_line(L40_2025_9))
% 293.42/42.93
% 293.42/42.93 [24425] CLOSURE : ~left_apart_point(A39_2025_9, L40_2025_9)
% 293.42/42.93
% 293.42/42.93 [24315] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [24439] ~(left_apart_point(A39_2030_9, L40_2030_9) | left_apart_point(A39_2030_9, reverse_line(L40_2030_9)))
% 293.42/42.93
% 293.42/42.93 [24439] ALPHA_NOT_OR : ~(left_apart_point(A39_2030_9, L40_2030_9) | left_apart_point(A39_2030_9, reverse_line(L40_2030_9)))
% 293.42/42.93 -> [24442] ~left_apart_point(A39_2030_9, L40_2030_9), ~left_apart_point(A39_2030_9, reverse_line(L40_2030_9))
% 293.42/42.93
% 293.42/42.93 [24442] CLOSURE : ~left_apart_point(A39_2030_9, L40_2030_9)
% 293.42/42.93
% 293.42/42.93 [24311] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [24328] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93 -> [24329] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [24328] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [24329] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [22778] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [22814] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.93
% 293.42/42.93 [22814] 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))))
% 293.42/42.93 -> [22816] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [22817] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93
% 293.42/42.93 [22817] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [22826] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93 -> [22827] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [22826] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [24474] ~(left_apart_point(A39_2033_9, L40_2033_9) | left_apart_point(A39_2033_9, reverse_line(L40_2033_9)))
% 293.42/42.93
% 293.42/42.93 [24474] ALPHA_NOT_OR : ~(left_apart_point(A39_2033_9, L40_2033_9) | left_apart_point(A39_2033_9, reverse_line(L40_2033_9)))
% 293.42/42.93 -> [24476] ~left_apart_point(A39_2033_9, L40_2033_9), ~left_apart_point(A39_2033_9, reverse_line(L40_2033_9))
% 293.42/42.93
% 293.42/42.93 [24476] CLOSURE : ~left_apart_point(A39_2033_9, L40_2033_9)
% 293.42/42.93
% 293.42/42.93 [22827] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [24482] ~(left_apart_point(A39_2034_9, L40_2034_9) | left_apart_point(A39_2034_9, reverse_line(L40_2034_9)))
% 293.42/42.93
% 293.42/42.93 [24482] ALPHA_NOT_OR : ~(left_apart_point(A39_2034_9, L40_2034_9) | left_apart_point(A39_2034_9, reverse_line(L40_2034_9)))
% 293.42/42.93 -> [24485] ~left_apart_point(A39_2034_9, L40_2034_9), ~left_apart_point(A39_2034_9, reverse_line(L40_2034_9))
% 293.42/42.93
% 293.42/42.93 [24485] CLOSURE : ~left_apart_point(A39_2034_9, L40_2034_9)
% 293.42/42.93
% 293.42/42.93 [22816] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [24366] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93 -> [24367] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [24367] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [24366] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [22755] 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))))
% 293.42/42.93 -> [22761] unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.93 -> [22762] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.93
% 293.42/42.93 [22761] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.93
% 293.42/42.93 [22762] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [26164] ((unequally_directed_lines(skolem_M7878, M38_1154_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1154_8))) => (left_convergent_lines(skolem_M7878, M38_1154_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1154_8))))
% 293.42/42.93
% 293.42/42.93 [26164] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_1154_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1154_8))) => (left_convergent_lines(skolem_M7878, M38_1154_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1154_8))))
% 293.42/42.93 -> [26165] ~(unequally_directed_lines(skolem_M7878, M38_1154_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1154_8)))
% 293.42/42.93 -> [26166] (left_convergent_lines(skolem_M7878, M38_1154_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1154_8)))
% 293.42/42.93
% 293.42/42.93 [26165] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_1154_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1154_8)))
% 293.42/42.93 -> [26254] ~unequally_directed_lines(skolem_M7878, M38_1154_8)
% 293.42/42.93 -> [26255] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_1154_8))
% 293.42/42.93
% 293.42/42.93 [26255] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_1154_8))
% 293.42/42.93
% 293.42/42.93 [26254] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_1154_8)
% 293.42/42.93
% 293.42/42.93 [26166] BETA_OR : (left_convergent_lines(skolem_M7878, M38_1154_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1154_8)))
% 293.42/42.93 -> [26167] left_convergent_lines(skolem_M7878, M38_1154_8)
% 293.42/42.93 -> [26168] left_convergent_lines(skolem_M7878, reverse_line(M38_1154_8))
% 293.42/42.93
% 293.42/42.93 [26168] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [26515] ~(left_apart_point(A39_2350_9, L40_2350_9) | left_apart_point(A39_2350_9, reverse_line(L40_2350_9)))
% 293.42/42.93
% 293.42/42.93 [26515] ALPHA_NOT_OR : ~(left_apart_point(A39_2350_9, L40_2350_9) | left_apart_point(A39_2350_9, reverse_line(L40_2350_9)))
% 293.42/42.93 -> [26518] ~left_apart_point(A39_2350_9, L40_2350_9), ~left_apart_point(A39_2350_9, reverse_line(L40_2350_9))
% 293.42/42.93
% 293.42/42.93 [26518] CLOSURE : ~left_apart_point(A39_2350_9, L40_2350_9)
% 293.42/42.93
% 293.42/42.93 [26167] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [26547] ~(left_apart_point(A39_2357_9, L40_2357_9) | left_apart_point(A39_2357_9, reverse_line(L40_2357_9)))
% 293.42/42.93
% 293.42/42.93 [26547] ALPHA_NOT_OR : ~(left_apart_point(A39_2357_9, L40_2357_9) | left_apart_point(A39_2357_9, reverse_line(L40_2357_9)))
% 293.42/42.93 -> [26548] ~left_apart_point(A39_2357_9, L40_2357_9), ~left_apart_point(A39_2357_9, reverse_line(L40_2357_9))
% 293.42/42.93
% 293.42/42.93 [26548] CLOSURE : ~left_apart_point(A39_2357_9, L40_2357_9)
% 293.42/42.93
% 293.42/42.93 [443] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.93 -> [486] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.42/42.93 -> [487] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [487] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.93 -> [547] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))
% 293.42/42.93 -> [548] ~~(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)))
% 293.42/42.93
% 293.42/42.93 [548] 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)))
% 293.42/42.93 -> [858] (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)))
% 293.42/42.93
% 293.42/42.93 [858] 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)))
% 293.42/42.93 -> [861] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 293.42/42.93 -> [862] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [861] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.93 -> [1231] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.93
% 293.42/42.93 [1231] 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))))
% 293.42/42.93 -> [3493] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.93
% 293.42/42.93 [3493] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.93 -> [3494] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.93 -> [3495] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.93
% 293.42/42.93 [3494] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.93
% 293.42/42.93 [3495] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.93 -> [5413] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.93 -> [5414] distinct_points(skolem_C8282, skolem_B8181)
% 293.42/42.93
% 293.42/42.93 [5413] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.93
% 293.42/42.93 [5414] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.93 -> [6325] ~distinct_lines(N27_204_3, N27_204_3)
% 293.42/42.93
% 293.42/42.93 [6325] 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))))
% 293.42/42.93 -> [6472] (distinct_lines(N27_204_3, N27_204_3) => (distinct_lines(N27_204_3, N27_204_3) | distinct_lines(N27_204_3, N27_204_3)))
% 293.42/42.93
% 293.42/42.93 [6472] BETA_IMPLY : (distinct_lines(N27_204_3, N27_204_3) => (distinct_lines(N27_204_3, N27_204_3) | distinct_lines(N27_204_3, N27_204_3)))
% 293.42/42.93 -> [6478] ~distinct_lines(N27_204_3, N27_204_3)
% 293.42/42.93 -> [6479] (distinct_lines(N27_204_3, N27_204_3) | distinct_lines(N27_204_3, N27_204_3))
% 293.42/42.93
% 293.42/42.93 [6479] BETA_OR : (distinct_lines(N27_204_3, N27_204_3) | distinct_lines(N27_204_3, N27_204_3))
% 293.42/42.93 -> [6484] distinct_lines(N27_204_3, N27_204_3)
% 293.42/42.93 -> [6485] distinct_lines(N27_204_3, N27_204_3)
% 293.42/42.93
% 293.42/42.93 [6484] CLOSURE : distinct_lines(N27_204_3, N27_204_3)
% 293.42/42.93
% 293.42/42.93 [6485] CLOSURE : distinct_lines(N27_204_3, N27_204_3)
% 293.42/42.93
% 293.42/42.93 [6478] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.93 -> [6547] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [6547] 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))))
% 293.42/42.93 -> [6636] (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))))
% 293.42/42.93
% 293.42/42.93 [6636] 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))))
% 293.42/42.93 -> [6637] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93 -> [6638] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.93
% 293.42/42.93 [6637] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [6638] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.93 -> [9353] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93 -> [9354] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [9354] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [9353] 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))))))
% 293.42/42.93 -> [9489] ((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)))))
% 293.42/42.93
% 293.42/42.93 [9489] 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)))))
% 293.42/42.93 -> [9490] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [9491] ((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))))
% 293.42/42.93
% 293.42/42.93 [9490] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [9498] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93 -> [9499] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [9499] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [9498] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93
% 293.42/42.93 [9491] 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))))
% 293.42/42.93 -> [14177] (unequally_directed_lines(skolem_M7878, N34_104_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_104_6)))
% 293.42/42.93 -> [14178] (unequally_directed_lines(skolem_N7979, N34_104_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_104_6)))
% 293.42/42.93
% 293.42/42.93 [14177] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_104_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_104_6)))
% 293.42/42.93 -> [14207] unequally_directed_lines(skolem_M7878, N34_104_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_104_6))
% 293.42/42.93
% 293.42/42.93 [14207] 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)))))
% 293.42/42.93 -> [15845] ((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))))
% 293.42/42.93
% 293.42/42.93 [15845] 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))))
% 293.42/42.93 -> [15847] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.93 -> [15848] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.93
% 293.42/42.93 [15848] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.93 -> [15851] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 293.42/42.93 -> [15852] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [15852] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [15851] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [19831] ((unequally_directed_lines(skolem_M7878, M38_734_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_734_8))) => (left_convergent_lines(skolem_M7878, M38_734_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_734_8))))
% 293.42/42.93
% 293.42/42.93 [19831] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_734_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_734_8))) => (left_convergent_lines(skolem_M7878, M38_734_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_734_8))))
% 293.42/42.93 -> [19836] ~(unequally_directed_lines(skolem_M7878, M38_734_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_734_8)))
% 293.42/42.93 -> [19837] (left_convergent_lines(skolem_M7878, M38_734_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_734_8)))
% 293.42/42.93
% 293.42/42.93 [19836] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_734_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_734_8)))
% 293.42/42.93 -> [19881] ~unequally_directed_lines(skolem_M7878, M38_734_8)
% 293.42/42.93 -> [19882] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_734_8))
% 293.42/42.93
% 293.42/42.93 [19882] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_734_8))
% 293.42/42.93
% 293.42/42.93 [19881] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_734_8)
% 293.42/42.93
% 293.42/42.93 [19837] BETA_OR : (left_convergent_lines(skolem_M7878, M38_734_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_734_8)))
% 293.42/42.93 -> [19846] left_convergent_lines(skolem_M7878, M38_734_8)
% 293.42/42.93 -> [19847] left_convergent_lines(skolem_M7878, reverse_line(M38_734_8))
% 293.42/42.93
% 293.42/42.93 [19846] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [20096] ~(left_apart_point(A39_1436_9, L40_1436_9) | left_apart_point(A39_1436_9, reverse_line(L40_1436_9)))
% 293.42/42.93
% 293.42/42.93 [20096] ALPHA_NOT_OR : ~(left_apart_point(A39_1436_9, L40_1436_9) | left_apart_point(A39_1436_9, reverse_line(L40_1436_9)))
% 293.42/42.93 -> [20098] ~left_apart_point(A39_1436_9, L40_1436_9), ~left_apart_point(A39_1436_9, reverse_line(L40_1436_9))
% 293.42/42.93
% 293.42/42.93 [20098] CLOSURE : ~left_apart_point(A39_1436_9, L40_1436_9)
% 293.42/42.93
% 293.42/42.93 [19847] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [20622] ~(left_apart_point(A39_1506_9, L40_1506_9) | left_apart_point(A39_1506_9, reverse_line(L40_1506_9)))
% 293.42/42.93
% 293.42/42.93 [20622] ALPHA_NOT_OR : ~(left_apart_point(A39_1506_9, L40_1506_9) | left_apart_point(A39_1506_9, reverse_line(L40_1506_9)))
% 293.42/42.93 -> [20628] ~left_apart_point(A39_1506_9, L40_1506_9), ~left_apart_point(A39_1506_9, reverse_line(L40_1506_9))
% 293.42/42.93
% 293.42/42.93 [20628] CLOSURE : ~left_apart_point(A39_1506_9, L40_1506_9)
% 293.42/42.93
% 293.42/42.93 [15847] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.93 -> [16004] ~line(reverse_line(skolem_N7979))
% 293.42/42.93 -> [16005] ~line(skolem_N7979)
% 293.42/42.93
% 293.42/42.93 [16005] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [16549] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.93
% 293.42/42.93 [16549] 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))))
% 293.42/42.93 -> [16554] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [16555] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93
% 293.42/42.93 [16555] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [16556] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93 -> [16557] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [16556] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [18566] ~(left_apart_point(A39_1236_9, L40_1236_9) | left_apart_point(A39_1236_9, reverse_line(L40_1236_9)))
% 293.42/42.93
% 293.42/42.93 [18566] ALPHA_NOT_OR : ~(left_apart_point(A39_1236_9, L40_1236_9) | left_apart_point(A39_1236_9, reverse_line(L40_1236_9)))
% 293.42/42.93 -> [18574] ~left_apart_point(A39_1236_9, L40_1236_9), ~left_apart_point(A39_1236_9, reverse_line(L40_1236_9))
% 293.42/42.93
% 293.42/42.93 [18574] CLOSURE : ~left_apart_point(A39_1236_9, L40_1236_9)
% 293.42/42.93
% 293.42/42.93 [16557] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [19142] ~(left_apart_point(A39_1303_9, L40_1303_9) | left_apart_point(A39_1303_9, reverse_line(L40_1303_9)))
% 293.42/42.93
% 293.42/42.93 [19142] ALPHA_NOT_OR : ~(left_apart_point(A39_1303_9, L40_1303_9) | left_apart_point(A39_1303_9, reverse_line(L40_1303_9)))
% 293.42/42.93 -> [19143] ~left_apart_point(A39_1303_9, L40_1303_9), ~left_apart_point(A39_1303_9, reverse_line(L40_1303_9))
% 293.42/42.93
% 293.42/42.93 [19143] CLOSURE : ~left_apart_point(A39_1303_9, L40_1303_9)
% 293.42/42.93
% 293.42/42.93 [16554] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [17832] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93 -> [17833] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [17833] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [17832] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [16004] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [16720] ((unequally_directed_lines(skolem_M7878, M38_534_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_534_8))) => (left_convergent_lines(skolem_M7878, M38_534_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_534_8))))
% 293.42/42.93
% 293.42/42.93 [16720] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_534_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_534_8))) => (left_convergent_lines(skolem_M7878, M38_534_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_534_8))))
% 293.42/42.93 -> [16725] ~(unequally_directed_lines(skolem_M7878, M38_534_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_534_8)))
% 293.42/42.93 -> [16726] (left_convergent_lines(skolem_M7878, M38_534_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_534_8)))
% 293.42/42.93
% 293.42/42.93 [16726] BETA_OR : (left_convergent_lines(skolem_M7878, M38_534_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_534_8)))
% 293.42/42.93 -> [17775] left_convergent_lines(skolem_M7878, M38_534_8)
% 293.42/42.93 -> [17776] left_convergent_lines(skolem_M7878, reverse_line(M38_534_8))
% 293.42/42.93
% 293.42/42.93 [17776] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [17818] ~(left_apart_point(A39_1151_9, L40_1151_9) | left_apart_point(A39_1151_9, reverse_line(L40_1151_9)))
% 293.42/42.93
% 293.42/42.93 [17818] ALPHA_NOT_OR : ~(left_apart_point(A39_1151_9, L40_1151_9) | left_apart_point(A39_1151_9, reverse_line(L40_1151_9)))
% 293.42/42.93 -> [17822] ~left_apart_point(A39_1151_9, L40_1151_9), ~left_apart_point(A39_1151_9, reverse_line(L40_1151_9))
% 293.42/42.93
% 293.42/42.93 [17822] CLOSURE : ~left_apart_point(A39_1151_9, L40_1151_9)
% 293.42/42.93
% 293.42/42.93 [17775] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [17825] ~(left_apart_point(A39_1153_9, L40_1153_9) | left_apart_point(A39_1153_9, reverse_line(L40_1153_9)))
% 293.42/42.93
% 293.42/42.93 [17825] ALPHA_NOT_OR : ~(left_apart_point(A39_1153_9, L40_1153_9) | left_apart_point(A39_1153_9, reverse_line(L40_1153_9)))
% 293.42/42.93 -> [17826] ~left_apart_point(A39_1153_9, L40_1153_9), ~left_apart_point(A39_1153_9, reverse_line(L40_1153_9))
% 293.42/42.93
% 293.42/42.93 [17826] CLOSURE : ~left_apart_point(A39_1153_9, L40_1153_9)
% 293.42/42.93
% 293.42/42.93 [16725] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_534_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_534_8)))
% 293.42/42.93 -> [17766] ~unequally_directed_lines(skolem_M7878, M38_534_8)
% 293.42/42.93 -> [17767] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_534_8))
% 293.42/42.93
% 293.42/42.93 [17766] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_534_8)
% 293.42/42.93
% 293.42/42.93 [17767] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_534_8))
% 293.42/42.93
% 293.42/42.93 [14178] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_104_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_104_6)))
% 293.42/42.93 -> [14191] unequally_directed_lines(skolem_N7979, N34_104_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_104_6))
% 293.42/42.93
% 293.42/42.93 [14191] 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)))))
% 293.42/42.93 -> [15948] ((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)))))
% 293.42/42.93
% 293.42/42.93 [15948] 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)))))
% 293.42/42.93 -> [15952] ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.93 -> [15953] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 293.42/42.93
% 293.42/42.93 [15952] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.93 -> [16130] ~line(reverse_line(skolem_N7979))
% 293.42/42.93 -> [16131] ~line(reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [16131] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [16608] ((unequally_directed_lines(skolem_N7979, M38_524_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_524_8))) => (left_convergent_lines(skolem_N7979, M38_524_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_524_8))))
% 293.42/42.93
% 293.42/42.93 [16608] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_524_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_524_8))) => (left_convergent_lines(skolem_N7979, M38_524_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_524_8))))
% 293.42/42.93 -> [16611] ~(unequally_directed_lines(skolem_N7979, M38_524_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_524_8)))
% 293.42/42.93 -> [16612] (left_convergent_lines(skolem_N7979, M38_524_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_524_8)))
% 293.42/42.93
% 293.42/42.93 [16611] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_524_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_524_8)))
% 293.42/42.93 -> [16831] ~unequally_directed_lines(skolem_N7979, M38_524_8)
% 293.42/42.93 -> [16832] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_524_8))
% 293.42/42.93
% 293.42/42.93 [16832] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_524_8))
% 293.42/42.93
% 293.42/42.93 [16831] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_524_8)
% 293.42/42.93
% 293.42/42.93 [16612] BETA_OR : (left_convergent_lines(skolem_N7979, M38_524_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_524_8)))
% 293.42/42.93 -> [16615] left_convergent_lines(skolem_N7979, M38_524_8)
% 293.42/42.93 -> [16616] left_convergent_lines(skolem_N7979, reverse_line(M38_524_8))
% 293.42/42.93
% 293.42/42.93 [16616] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [17355] ~(left_apart_point(A39_1080_9, L40_1080_9) | left_apart_point(A39_1080_9, reverse_line(L40_1080_9)))
% 293.42/42.93
% 293.42/42.93 [17355] ALPHA_NOT_OR : ~(left_apart_point(A39_1080_9, L40_1080_9) | left_apart_point(A39_1080_9, reverse_line(L40_1080_9)))
% 293.42/42.93 -> [17356] ~left_apart_point(A39_1080_9, L40_1080_9), ~left_apart_point(A39_1080_9, reverse_line(L40_1080_9))
% 293.42/42.93
% 293.42/42.93 [17356] CLOSURE : ~left_apart_point(A39_1080_9, L40_1080_9)
% 293.42/42.93
% 293.42/42.93 [16615] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [17430] ~(left_apart_point(A39_1091_9, L40_1091_9) | left_apart_point(A39_1091_9, reverse_line(L40_1091_9)))
% 293.42/42.93
% 293.42/42.93 [17430] ALPHA_NOT_OR : ~(left_apart_point(A39_1091_9, L40_1091_9) | left_apart_point(A39_1091_9, reverse_line(L40_1091_9)))
% 293.42/42.93 -> [17436] ~left_apart_point(A39_1091_9, L40_1091_9), ~left_apart_point(A39_1091_9, reverse_line(L40_1091_9))
% 293.42/42.93
% 293.42/42.93 [17436] CLOSURE : ~left_apart_point(A39_1091_9, L40_1091_9)
% 293.42/42.93
% 293.42/42.93 [16130] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [16809] ((unequally_directed_lines(skolem_N7979, M38_542_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_542_8))) => (left_convergent_lines(skolem_N7979, M38_542_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_542_8))))
% 293.42/42.93
% 293.42/42.93 [16809] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_542_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_542_8))) => (left_convergent_lines(skolem_N7979, M38_542_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_542_8))))
% 293.42/42.93 -> [16813] ~(unequally_directed_lines(skolem_N7979, M38_542_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_542_8)))
% 293.42/42.93 -> [16814] (left_convergent_lines(skolem_N7979, M38_542_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_542_8)))
% 293.42/42.93
% 293.42/42.93 [16813] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_542_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_542_8)))
% 293.42/42.93 -> [17015] ~unequally_directed_lines(skolem_N7979, M38_542_8)
% 293.42/42.93 -> [17016] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_542_8))
% 293.42/42.93
% 293.42/42.93 [17016] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_542_8))
% 293.42/42.93
% 293.42/42.93 [17015] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_542_8)
% 293.42/42.93
% 293.42/42.93 [16814] BETA_OR : (left_convergent_lines(skolem_N7979, M38_542_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_542_8)))
% 293.42/42.93 -> [16819] left_convergent_lines(skolem_N7979, M38_542_8)
% 293.42/42.93 -> [16820] left_convergent_lines(skolem_N7979, reverse_line(M38_542_8))
% 293.42/42.93
% 293.42/42.93 [16819] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [17605] ~(left_apart_point(A39_1123_9, L40_1123_9) | left_apart_point(A39_1123_9, reverse_line(L40_1123_9)))
% 293.42/42.93
% 293.42/42.93 [17605] ALPHA_NOT_OR : ~(left_apart_point(A39_1123_9, L40_1123_9) | left_apart_point(A39_1123_9, reverse_line(L40_1123_9)))
% 293.42/42.93 -> [17607] ~left_apart_point(A39_1123_9, L40_1123_9), ~left_apart_point(A39_1123_9, reverse_line(L40_1123_9))
% 293.42/42.93
% 293.42/42.93 [17607] CLOSURE : ~left_apart_point(A39_1123_9, L40_1123_9)
% 293.42/42.93
% 293.42/42.93 [16820] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [17421] ~(left_apart_point(A39_1088_9, L40_1088_9) | left_apart_point(A39_1088_9, reverse_line(L40_1088_9)))
% 293.42/42.93
% 293.42/42.93 [17421] ALPHA_NOT_OR : ~(left_apart_point(A39_1088_9, L40_1088_9) | left_apart_point(A39_1088_9, reverse_line(L40_1088_9)))
% 293.42/42.93 -> [17425] ~left_apart_point(A39_1088_9, L40_1088_9), ~left_apart_point(A39_1088_9, reverse_line(L40_1088_9))
% 293.42/42.93
% 293.42/42.93 [17425] CLOSURE : ~left_apart_point(A39_1088_9, L40_1088_9)
% 293.42/42.93
% 293.42/42.93 [15953] 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))))
% 293.42/42.93 -> [15956] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.93 -> [15957] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 293.42/42.93
% 293.42/42.93 [15956] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [15957] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [22438] ((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))))
% 293.42/42.93
% 293.42/42.93 [22438] 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))))
% 293.42/42.93 -> [22439] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [22440] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93
% 293.42/42.93 [22439] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [22461] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93 -> [22462] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [22462] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [22461] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93
% 293.42/42.93 [22440] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [22441] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93 -> [22442] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [22441] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [22786] ~(left_apart_point(A39_1782_9, L40_1782_9) | left_apart_point(A39_1782_9, reverse_line(L40_1782_9)))
% 293.42/42.93
% 293.42/42.93 [22786] ALPHA_NOT_OR : ~(left_apart_point(A39_1782_9, L40_1782_9) | left_apart_point(A39_1782_9, reverse_line(L40_1782_9)))
% 293.42/42.93 -> [22790] ~left_apart_point(A39_1782_9, L40_1782_9), ~left_apart_point(A39_1782_9, reverse_line(L40_1782_9))
% 293.42/42.93
% 293.42/42.93 [22790] CLOSURE : ~left_apart_point(A39_1782_9, L40_1782_9)
% 293.42/42.93
% 293.42/42.93 [22442] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [22502] ~(left_apart_point(A39_1754_9, L40_1754_9) | left_apart_point(A39_1754_9, reverse_line(L40_1754_9)))
% 293.42/42.93
% 293.42/42.93 [22502] ALPHA_NOT_OR : ~(left_apart_point(A39_1754_9, L40_1754_9) | left_apart_point(A39_1754_9, reverse_line(L40_1754_9)))
% 293.42/42.93 -> [22504] ~left_apart_point(A39_1754_9, L40_1754_9), ~left_apart_point(A39_1754_9, reverse_line(L40_1754_9))
% 293.42/42.93
% 293.42/42.93 [22504] CLOSURE : ~left_apart_point(A39_1754_9, L40_1754_9)
% 293.42/42.93
% 293.42/42.93 [862] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.93 -> [1186] ~distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.93
% 293.42/42.93 [1186] 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))))
% 293.42/42.93 -> [1399] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.93
% 293.42/42.93 [1399] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.93 -> [1400] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.93 -> [1401] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.93
% 293.42/42.93 [1400] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.93
% 293.42/42.93 [1401] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.93 -> [4387] distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.93 -> [4388] distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.93
% 293.42/42.93 [4388] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.93
% 293.42/42.93 [4387] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.93 -> [5447] ~distinct_lines(N27_154_3, N27_154_3)
% 293.42/42.93
% 293.42/42.93 [5447] 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))))
% 293.42/42.93 -> [5493] (distinct_lines(N27_154_3, N27_154_3) => (distinct_lines(N27_154_3, N27_154_3) | distinct_lines(N27_154_3, N27_154_3)))
% 293.42/42.93
% 293.42/42.93 [5493] BETA_IMPLY : (distinct_lines(N27_154_3, N27_154_3) => (distinct_lines(N27_154_3, N27_154_3) | distinct_lines(N27_154_3, N27_154_3)))
% 293.42/42.93 -> [5495] ~distinct_lines(N27_154_3, N27_154_3)
% 293.42/42.93 -> [5496] (distinct_lines(N27_154_3, N27_154_3) | distinct_lines(N27_154_3, N27_154_3))
% 293.42/42.93
% 293.42/42.93 [5496] BETA_OR : (distinct_lines(N27_154_3, N27_154_3) | distinct_lines(N27_154_3, N27_154_3))
% 293.42/42.93 -> [5498] distinct_lines(N27_154_3, N27_154_3)
% 293.42/42.93 -> [5499] distinct_lines(N27_154_3, N27_154_3)
% 293.42/42.93
% 293.42/42.93 [5499] CLOSURE : distinct_lines(N27_154_3, N27_154_3)
% 293.42/42.93
% 293.42/42.93 [5498] CLOSURE : distinct_lines(N27_154_3, N27_154_3)
% 293.42/42.93
% 293.42/42.93 [5495] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.93 -> [5628] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [5628] 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))))
% 293.42/42.93 -> [5757] (unequally_directed_lines(skolem_M7878, skolem_N7979) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_N7979, skolem_M7878)))
% 293.42/42.93
% 293.42/42.93 [5757] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, skolem_N7979) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_N7979, skolem_M7878)))
% 293.42/42.93 -> [5758] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93 -> [5759] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_N7979, skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [5758] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93
% 293.42/42.93 [5759] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_N7979, skolem_M7878))
% 293.42/42.93 -> [10707] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.93 -> [10708] unequally_directed_lines(skolem_N7979, skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [10707] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [10708] 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))))))
% 293.42/42.93 -> [11909] ((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)))))
% 293.42/42.93
% 293.42/42.93 [11909] 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)))))
% 293.42/42.93 -> [11910] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [11911] ((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))))
% 293.42/42.93
% 293.42/42.93 [11910] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [11928] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93 -> [11929] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [11929] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [11928] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93
% 293.42/42.93 [11911] 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))))
% 293.42/42.93 -> [24238] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [24239] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.93
% 293.42/42.93 [24238] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [24270] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [24270] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [24239] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [24241] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [24241] 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)))))
% 293.42/42.93 -> [24347] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.93
% 293.42/42.93 [24347] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.93 -> [24350] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.93 -> [24351] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.93
% 293.42/42.93 [24350] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.93 -> [24399] ~line(skolem_M7878)
% 293.42/42.93 -> [24400] ~line(skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [24400] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [24583] ((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))))
% 293.42/42.93
% 293.42/42.93 [24583] 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))))
% 293.42/42.93 -> [24584] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [24585] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93
% 293.42/42.93 [24584] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [24641] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93 -> [24642] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [24642] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [24641] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93
% 293.42/42.93 [24585] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [24592] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93 -> [24593] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [24593] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [24734] ~(left_apart_point(A39_2073_9, L40_2073_9) | left_apart_point(A39_2073_9, reverse_line(L40_2073_9)))
% 293.42/42.93
% 293.42/42.93 [24734] ALPHA_NOT_OR : ~(left_apart_point(A39_2073_9, L40_2073_9) | left_apart_point(A39_2073_9, reverse_line(L40_2073_9)))
% 293.42/42.93 -> [24737] ~left_apart_point(A39_2073_9, L40_2073_9), ~left_apart_point(A39_2073_9, reverse_line(L40_2073_9))
% 293.42/42.93
% 293.42/42.93 [24737] CLOSURE : ~left_apart_point(A39_2073_9, L40_2073_9)
% 293.42/42.93
% 293.42/42.93 [24592] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [24772] ~(left_apart_point(A39_2082_9, L40_2082_9) | left_apart_point(A39_2082_9, reverse_line(L40_2082_9)))
% 293.42/42.93
% 293.42/42.93 [24772] ALPHA_NOT_OR : ~(left_apart_point(A39_2082_9, L40_2082_9) | left_apart_point(A39_2082_9, reverse_line(L40_2082_9)))
% 293.42/42.93 -> [24774] ~left_apart_point(A39_2082_9, L40_2082_9), ~left_apart_point(A39_2082_9, reverse_line(L40_2082_9))
% 293.42/42.93
% 293.42/42.93 [24774] CLOSURE : ~left_apart_point(A39_2082_9, L40_2082_9)
% 293.42/42.93
% 293.42/42.93 [24399] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [24575] ((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))))
% 293.42/42.93
% 293.42/42.93 [24575] 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))))
% 293.42/42.93 -> [24579] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [24580] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93
% 293.42/42.93 [24579] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [24626] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93 -> [24627] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [24627] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [24626] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93
% 293.42/42.93 [24580] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [24581] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93 -> [24582] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [24582] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [24722] ~(left_apart_point(A39_2070_9, L40_2070_9) | left_apart_point(A39_2070_9, reverse_line(L40_2070_9)))
% 293.42/42.93
% 293.42/42.93 [24722] ALPHA_NOT_OR : ~(left_apart_point(A39_2070_9, L40_2070_9) | left_apart_point(A39_2070_9, reverse_line(L40_2070_9)))
% 293.42/42.93 -> [24723] ~left_apart_point(A39_2070_9, L40_2070_9), ~left_apart_point(A39_2070_9, reverse_line(L40_2070_9))
% 293.42/42.93
% 293.42/42.93 [24723] CLOSURE : ~left_apart_point(A39_2070_9, L40_2070_9)
% 293.42/42.93
% 293.42/42.93 [24581] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [24792] ~(left_apart_point(A39_2085_9, L40_2085_9) | left_apart_point(A39_2085_9, reverse_line(L40_2085_9)))
% 293.42/42.93
% 293.42/42.93 [24792] ALPHA_NOT_OR : ~(left_apart_point(A39_2085_9, L40_2085_9) | left_apart_point(A39_2085_9, reverse_line(L40_2085_9)))
% 293.42/42.93 -> [24795] ~left_apart_point(A39_2085_9, L40_2085_9), ~left_apart_point(A39_2085_9, reverse_line(L40_2085_9))
% 293.42/42.93
% 293.42/42.93 [24795] CLOSURE : ~left_apart_point(A39_2085_9, L40_2085_9)
% 293.42/42.93
% 293.42/42.93 [24351] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [24355] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.93 -> [24356] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [24355] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [24356] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [24533] ((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))))
% 293.42/42.93
% 293.42/42.93 [24533] 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))))
% 293.42/42.93 -> [24539] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [24540] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93
% 293.42/42.93 [24539] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [24597] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93 -> [24598] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [24597] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93
% 293.42/42.93 [24598] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [24540] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [24547] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93 -> [24548] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [24548] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [25614] ~(left_apart_point(A39_2204_9, L40_2204_9) | left_apart_point(A39_2204_9, reverse_line(L40_2204_9)))
% 293.42/42.93
% 293.42/42.93 [25614] ALPHA_NOT_OR : ~(left_apart_point(A39_2204_9, L40_2204_9) | left_apart_point(A39_2204_9, reverse_line(L40_2204_9)))
% 293.42/42.93 -> [25616] ~left_apart_point(A39_2204_9, L40_2204_9), ~left_apart_point(A39_2204_9, reverse_line(L40_2204_9))
% 293.42/42.93
% 293.42/42.93 [25616] CLOSURE : ~left_apart_point(A39_2204_9, L40_2204_9)
% 293.42/42.93
% 293.42/42.93 [24547] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [25625] ~(left_apart_point(A39_2208_9, L40_2208_9) | left_apart_point(A39_2208_9, reverse_line(L40_2208_9)))
% 293.42/42.93
% 293.42/42.93 [25625] ALPHA_NOT_OR : ~(left_apart_point(A39_2208_9, L40_2208_9) | left_apart_point(A39_2208_9, reverse_line(L40_2208_9)))
% 293.42/42.93 -> [25628] ~left_apart_point(A39_2208_9, L40_2208_9), ~left_apart_point(A39_2208_9, reverse_line(L40_2208_9))
% 293.42/42.93
% 293.42/42.93 [25628] CLOSURE : ~left_apart_point(A39_2208_9, L40_2208_9)
% 293.42/42.93
% 293.42/42.93 [547] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.93 -> [1843] ~distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.93
% 293.42/42.93 [1843] 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))))
% 293.42/42.93 -> [3009] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.93
% 293.42/42.93 [3009] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.93 -> [3010] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.93 -> [3011] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.93
% 293.42/42.93 [3010] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.93
% 293.42/42.93 [3011] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.93 -> [5865] distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.93 -> [5866] distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.93
% 293.42/42.93 [5866] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.93
% 293.42/42.93 [5865] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.93 -> [7993] ~distinct_lines(N27_254_3, N27_254_3)
% 293.42/42.93
% 293.42/42.93 [7993] 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))))
% 293.42/42.93 -> [8085] (distinct_lines(N27_254_3, N27_254_3) => (distinct_lines(N27_254_3, N27_254_3) | distinct_lines(N27_254_3, N27_254_3)))
% 293.42/42.93
% 293.42/42.93 [8085] BETA_IMPLY : (distinct_lines(N27_254_3, N27_254_3) => (distinct_lines(N27_254_3, N27_254_3) | distinct_lines(N27_254_3, N27_254_3)))
% 293.42/42.93 -> [8086] ~distinct_lines(N27_254_3, N27_254_3)
% 293.42/42.93 -> [8087] (distinct_lines(N27_254_3, N27_254_3) | distinct_lines(N27_254_3, N27_254_3))
% 293.42/42.93
% 293.42/42.93 [8087] BETA_OR : (distinct_lines(N27_254_3, N27_254_3) | distinct_lines(N27_254_3, N27_254_3))
% 293.42/42.93 -> [8091] distinct_lines(N27_254_3, N27_254_3)
% 293.42/42.93 -> [8092] distinct_lines(N27_254_3, N27_254_3)
% 293.42/42.93
% 293.42/42.93 [8092] CLOSURE : distinct_lines(N27_254_3, N27_254_3)
% 293.42/42.93
% 293.42/42.93 [8091] CLOSURE : distinct_lines(N27_254_3, N27_254_3)
% 293.42/42.93
% 293.42/42.93 [8086] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.93 -> [8203] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [8203] 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))))
% 293.42/42.93 -> [8546] (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)))
% 293.42/42.93
% 293.42/42.93 [8546] 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)))
% 293.42/42.93 -> [8549] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93 -> [8550] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [8549] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [8550] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.93 -> [18784] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.93 -> [18785] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [18784] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [18785] 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))))))
% 293.42/42.93 -> [20687] ((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)))))
% 293.42/42.93
% 293.42/42.93 [20687] 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)))))
% 293.42/42.93 -> [20689] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [20690] ((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))))
% 293.42/42.93
% 293.42/42.93 [20689] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [20733] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93 -> [20734] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [20734] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [20733] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93
% 293.42/42.93 [20690] 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))))
% 293.42/42.93 -> [24467] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [24468] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.93
% 293.42/42.93 [24467] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [24564] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [24564] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [24468] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [24473] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [24473] 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)))))
% 293.42/42.93 -> [24810] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.93
% 293.42/42.93 [24810] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.93 -> [24812] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.93 -> [24813] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.93
% 293.42/42.93 [24812] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.93 -> [24837] ~line(skolem_M7878)
% 293.42/42.93 -> [24838] ~line(skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [24838] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [24868] ((unequally_directed_lines(skolem_N7979, M38_1065_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1065_8))) => (left_convergent_lines(skolem_N7979, M38_1065_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1065_8))))
% 293.42/42.93
% 293.42/42.93 [24868] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1065_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1065_8))) => (left_convergent_lines(skolem_N7979, M38_1065_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1065_8))))
% 293.42/42.93 -> [24872] ~(unequally_directed_lines(skolem_N7979, M38_1065_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1065_8)))
% 293.42/42.93 -> [24873] (left_convergent_lines(skolem_N7979, M38_1065_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1065_8)))
% 293.42/42.93
% 293.42/42.93 [24872] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1065_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1065_8)))
% 293.42/42.93 -> [24887] ~unequally_directed_lines(skolem_N7979, M38_1065_8)
% 293.42/42.93 -> [24888] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1065_8))
% 293.42/42.93
% 293.42/42.93 [24888] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1065_8))
% 293.42/42.93
% 293.42/42.93 [24887] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1065_8)
% 293.42/42.93
% 293.42/42.93 [24873] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1065_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1065_8)))
% 293.42/42.93 -> [24880] left_convergent_lines(skolem_N7979, M38_1065_8)
% 293.42/42.93 -> [24881] left_convergent_lines(skolem_N7979, reverse_line(M38_1065_8))
% 293.42/42.93
% 293.42/42.93 [24881] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [24898] ~(left_apart_point(A39_2102_9, L40_2102_9) | left_apart_point(A39_2102_9, reverse_line(L40_2102_9)))
% 293.42/42.93
% 293.42/42.93 [24898] ALPHA_NOT_OR : ~(left_apart_point(A39_2102_9, L40_2102_9) | left_apart_point(A39_2102_9, reverse_line(L40_2102_9)))
% 293.42/42.93 -> [24899] ~left_apart_point(A39_2102_9, L40_2102_9), ~left_apart_point(A39_2102_9, reverse_line(L40_2102_9))
% 293.42/42.93
% 293.42/42.93 [24899] CLOSURE : ~left_apart_point(A39_2102_9, L40_2102_9)
% 293.42/42.93
% 293.42/42.93 [24880] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [24907] ~(left_apart_point(A39_2106_9, L40_2106_9) | left_apart_point(A39_2106_9, reverse_line(L40_2106_9)))
% 293.42/42.93
% 293.42/42.93 [24907] ALPHA_NOT_OR : ~(left_apart_point(A39_2106_9, L40_2106_9) | left_apart_point(A39_2106_9, reverse_line(L40_2106_9)))
% 293.42/42.93 -> [24911] ~left_apart_point(A39_2106_9, L40_2106_9), ~left_apart_point(A39_2106_9, reverse_line(L40_2106_9))
% 293.42/42.93
% 293.42/42.93 [24911] CLOSURE : ~left_apart_point(A39_2106_9, L40_2106_9)
% 293.42/42.93
% 293.42/42.93 [24837] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [24889] ((unequally_directed_lines(skolem_N7979, M38_1066_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1066_8))) => (left_convergent_lines(skolem_N7979, M38_1066_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1066_8))))
% 293.42/42.93
% 293.42/42.93 [24889] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1066_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1066_8))) => (left_convergent_lines(skolem_N7979, M38_1066_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1066_8))))
% 293.42/42.93 -> [24890] ~(unequally_directed_lines(skolem_N7979, M38_1066_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1066_8)))
% 293.42/42.93 -> [24891] (left_convergent_lines(skolem_N7979, M38_1066_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1066_8)))
% 293.42/42.93
% 293.42/42.93 [24891] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1066_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1066_8)))
% 293.42/42.93 -> [24892] left_convergent_lines(skolem_N7979, M38_1066_8)
% 293.42/42.93 -> [24893] left_convergent_lines(skolem_N7979, reverse_line(M38_1066_8))
% 293.42/42.93
% 293.42/42.93 [24893] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [24937] ~(left_apart_point(A39_2109_9, L40_2109_9) | left_apart_point(A39_2109_9, reverse_line(L40_2109_9)))
% 293.42/42.93
% 293.42/42.93 [24937] ALPHA_NOT_OR : ~(left_apart_point(A39_2109_9, L40_2109_9) | left_apart_point(A39_2109_9, reverse_line(L40_2109_9)))
% 293.42/42.93 -> [24941] ~left_apart_point(A39_2109_9, L40_2109_9), ~left_apart_point(A39_2109_9, reverse_line(L40_2109_9))
% 293.42/42.93
% 293.42/42.93 [24941] CLOSURE : ~left_apart_point(A39_2109_9, L40_2109_9)
% 293.42/42.93
% 293.42/42.93 [24892] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [24954] ~(left_apart_point(A39_2112_9, L40_2112_9) | left_apart_point(A39_2112_9, reverse_line(L40_2112_9)))
% 293.42/42.93
% 293.42/42.93 [24954] ALPHA_NOT_OR : ~(left_apart_point(A39_2112_9, L40_2112_9) | left_apart_point(A39_2112_9, reverse_line(L40_2112_9)))
% 293.42/42.93 -> [24955] ~left_apart_point(A39_2112_9, L40_2112_9), ~left_apart_point(A39_2112_9, reverse_line(L40_2112_9))
% 293.42/42.93
% 293.42/42.93 [24955] CLOSURE : ~left_apart_point(A39_2112_9, L40_2112_9)
% 293.42/42.93
% 293.42/42.93 [24890] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1066_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1066_8)))
% 293.42/42.93 -> [24895] ~unequally_directed_lines(skolem_N7979, M38_1066_8)
% 293.42/42.93 -> [24896] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1066_8))
% 293.42/42.93
% 293.42/42.93 [24896] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1066_8))
% 293.42/42.93
% 293.42/42.93 [24895] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1066_8)
% 293.42/42.93
% 293.42/42.93 [24813] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [24819] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.93 -> [24820] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [24819] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [24820] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [24977] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.93
% 293.42/42.93 [24977] 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))))
% 293.42/42.93 -> [24981] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [24982] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93
% 293.42/42.93 [24981] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [24989] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93 -> [24990] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [24989] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [24990] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [24982] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [24983] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93 -> [24984] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [24983] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [25867] ~(left_apart_point(A39_2243_9, L40_2243_9) | left_apart_point(A39_2243_9, reverse_line(L40_2243_9)))
% 293.42/42.93
% 293.42/42.93 [25867] ALPHA_NOT_OR : ~(left_apart_point(A39_2243_9, L40_2243_9) | left_apart_point(A39_2243_9, reverse_line(L40_2243_9)))
% 293.42/42.93 -> [25870] ~left_apart_point(A39_2243_9, L40_2243_9), ~left_apart_point(A39_2243_9, reverse_line(L40_2243_9))
% 293.42/42.93
% 293.42/42.93 [25870] CLOSURE : ~left_apart_point(A39_2243_9, L40_2243_9)
% 293.42/42.93
% 293.42/42.93 [24984] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [26153] ~(left_apart_point(A39_2298_9, L40_2298_9) | left_apart_point(A39_2298_9, reverse_line(L40_2298_9)))
% 293.42/42.93
% 293.42/42.93 [26153] ALPHA_NOT_OR : ~(left_apart_point(A39_2298_9, L40_2298_9) | left_apart_point(A39_2298_9, reverse_line(L40_2298_9)))
% 293.42/42.93 -> [26158] ~left_apart_point(A39_2298_9, L40_2298_9), ~left_apart_point(A39_2298_9, reverse_line(L40_2298_9))
% 293.42/42.93
% 293.42/42.93 [26158] CLOSURE : ~left_apart_point(A39_2298_9, L40_2298_9)
% 293.42/42.93
% 293.42/42.93 [486] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.93 -> [647] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))
% 293.42/42.93 -> [648] ~~(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)))
% 293.42/42.93
% 293.42/42.93 [647] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.93 -> [748] ~distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.93
% 293.42/42.93 [748] 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))))
% 293.42/42.93 -> [785] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.93
% 293.42/42.93 [785] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.93 -> [786] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.93 -> [787] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.93
% 293.42/42.93 [786] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.93
% 293.42/42.93 [787] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.93 -> [6517] distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.93 -> [6518] distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.93
% 293.42/42.93 [6518] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.93
% 293.42/42.93 [6517] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.93 -> [7127] ~distinct_lines(N27_232_3, N27_232_3)
% 293.42/42.93
% 293.42/42.93 [7127] 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))))
% 293.42/42.93 -> [7186] (distinct_lines(N27_232_3, N27_232_3) => (distinct_lines(N27_232_3, N27_232_3) | distinct_lines(N27_232_3, N27_232_3)))
% 293.42/42.93
% 293.42/42.93 [7186] BETA_IMPLY : (distinct_lines(N27_232_3, N27_232_3) => (distinct_lines(N27_232_3, N27_232_3) | distinct_lines(N27_232_3, N27_232_3)))
% 293.42/42.93 -> [7187] ~distinct_lines(N27_232_3, N27_232_3)
% 293.42/42.93 -> [7188] (distinct_lines(N27_232_3, N27_232_3) | distinct_lines(N27_232_3, N27_232_3))
% 293.42/42.93
% 293.42/42.93 [7188] BETA_OR : (distinct_lines(N27_232_3, N27_232_3) | distinct_lines(N27_232_3, N27_232_3))
% 293.42/42.93 -> [7192] distinct_lines(N27_232_3, N27_232_3)
% 293.42/42.93 -> [7193] distinct_lines(N27_232_3, N27_232_3)
% 293.42/42.93
% 293.42/42.93 [7193] CLOSURE : distinct_lines(N27_232_3, N27_232_3)
% 293.42/42.93
% 293.42/42.93 [7192] CLOSURE : distinct_lines(N27_232_3, N27_232_3)
% 293.42/42.93
% 293.42/42.93 [7187] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.93 -> [7230] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [7230] 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))))
% 293.42/42.93 -> [7269] (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))))
% 293.42/42.93
% 293.42/42.93 [7269] 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))))
% 293.42/42.93 -> [7270] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93 -> [7271] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.93
% 293.42/42.93 [7270] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [7271] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.93 -> [12301] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93 -> [12302] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [12302] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [12301] 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))))))
% 293.42/42.93 -> [18276] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_242_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_242_6))) | (unequally_directed_lines(skolem_N7979, N34_242_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_242_6)))))
% 293.42/42.93
% 293.42/42.93 [18276] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_242_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_242_6))) | (unequally_directed_lines(skolem_N7979, N34_242_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_242_6)))))
% 293.42/42.93 -> [18279] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [18280] ((unequally_directed_lines(skolem_M7878, N34_242_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_242_6))) | (unequally_directed_lines(skolem_N7979, N34_242_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_242_6))))
% 293.42/42.93
% 293.42/42.93 [18279] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [18305] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93 -> [18306] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [18306] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [18305] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93
% 293.42/42.93 [18280] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_242_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_242_6))) | (unequally_directed_lines(skolem_N7979, N34_242_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_242_6))))
% 293.42/42.93 -> [20417] (unequally_directed_lines(skolem_M7878, N34_242_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_242_6)))
% 293.42/42.93 -> [20418] (unequally_directed_lines(skolem_N7979, N34_242_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_242_6)))
% 293.42/42.93
% 293.42/42.93 [20417] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_242_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_242_6)))
% 293.42/42.93 -> [20434] unequally_directed_lines(skolem_M7878, N34_242_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_242_6))
% 293.42/42.93
% 293.42/42.93 [20434] 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)))))
% 293.42/42.93 -> [20451] ((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)))))
% 293.42/42.93
% 293.42/42.93 [20451] 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)))))
% 293.42/42.93 -> [20452] ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.93 -> [20453] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 293.42/42.93
% 293.42/42.93 [20452] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.93 -> [20464] ~line(reverse_line(skolem_N7979))
% 293.42/42.93 -> [20465] ~line(reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [20465] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [21503] ((unequally_directed_lines(skolem_M7878, M38_841_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_841_8))) => (left_convergent_lines(skolem_M7878, M38_841_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_841_8))))
% 293.42/42.93
% 293.42/42.93 [21503] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_841_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_841_8))) => (left_convergent_lines(skolem_M7878, M38_841_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_841_8))))
% 293.42/42.93 -> [21504] ~(unequally_directed_lines(skolem_M7878, M38_841_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_841_8)))
% 293.42/42.93 -> [21505] (left_convergent_lines(skolem_M7878, M38_841_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_841_8)))
% 293.42/42.93
% 293.42/42.93 [21505] BETA_OR : (left_convergent_lines(skolem_M7878, M38_841_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_841_8)))
% 293.42/42.93 -> [21511] left_convergent_lines(skolem_M7878, M38_841_8)
% 293.42/42.93 -> [21512] left_convergent_lines(skolem_M7878, reverse_line(M38_841_8))
% 293.42/42.93
% 293.42/42.93 [21511] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [21641] ~(left_apart_point(A39_1612_9, L40_1612_9) | left_apart_point(A39_1612_9, reverse_line(L40_1612_9)))
% 293.42/42.93
% 293.42/42.93 [21641] ALPHA_NOT_OR : ~(left_apart_point(A39_1612_9, L40_1612_9) | left_apart_point(A39_1612_9, reverse_line(L40_1612_9)))
% 293.42/42.93 -> [21642] ~left_apart_point(A39_1612_9, L40_1612_9), ~left_apart_point(A39_1612_9, reverse_line(L40_1612_9))
% 293.42/42.93
% 293.42/42.93 [21642] CLOSURE : ~left_apart_point(A39_1612_9, L40_1612_9)
% 293.42/42.93
% 293.42/42.93 [21512] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [21646] ~(left_apart_point(A39_1613_9, L40_1613_9) | left_apart_point(A39_1613_9, reverse_line(L40_1613_9)))
% 293.42/42.93
% 293.42/42.93 [21646] ALPHA_NOT_OR : ~(left_apart_point(A39_1613_9, L40_1613_9) | left_apart_point(A39_1613_9, reverse_line(L40_1613_9)))
% 293.42/42.93 -> [21649] ~left_apart_point(A39_1613_9, L40_1613_9), ~left_apart_point(A39_1613_9, reverse_line(L40_1613_9))
% 293.42/42.93
% 293.42/42.93 [21649] CLOSURE : ~left_apart_point(A39_1613_9, L40_1613_9)
% 293.42/42.93
% 293.42/42.93 [21504] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_841_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_841_8)))
% 293.42/42.93 -> [21559] ~unequally_directed_lines(skolem_M7878, M38_841_8)
% 293.42/42.93 -> [21560] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_841_8))
% 293.42/42.93
% 293.42/42.93 [21560] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_841_8))
% 293.42/42.93
% 293.42/42.93 [21559] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_841_8)
% 293.42/42.93
% 293.42/42.93 [20464] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [21342] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.93
% 293.42/42.93 [21342] 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))))
% 293.42/42.93 -> [21343] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [21344] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93
% 293.42/42.93 [21344] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [21347] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93 -> [21348] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [21348] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [21799] ~(left_apart_point(A39_1645_9, L40_1645_9) | left_apart_point(A39_1645_9, reverse_line(L40_1645_9)))
% 293.42/42.93
% 293.42/42.93 [21799] ALPHA_NOT_OR : ~(left_apart_point(A39_1645_9, L40_1645_9) | left_apart_point(A39_1645_9, reverse_line(L40_1645_9)))
% 293.42/42.93 -> [21800] ~left_apart_point(A39_1645_9, L40_1645_9), ~left_apart_point(A39_1645_9, reverse_line(L40_1645_9))
% 293.42/42.93
% 293.42/42.93 [21800] CLOSURE : ~left_apart_point(A39_1645_9, L40_1645_9)
% 293.42/42.93
% 293.42/42.93 [21347] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [21842] ~(left_apart_point(A39_1653_9, L40_1653_9) | left_apart_point(A39_1653_9, reverse_line(L40_1653_9)))
% 293.42/42.93
% 293.42/42.93 [21842] ALPHA_NOT_OR : ~(left_apart_point(A39_1653_9, L40_1653_9) | left_apart_point(A39_1653_9, reverse_line(L40_1653_9)))
% 293.42/42.93 -> [21848] ~left_apart_point(A39_1653_9, L40_1653_9), ~left_apart_point(A39_1653_9, reverse_line(L40_1653_9))
% 293.42/42.93
% 293.42/42.93 [21848] CLOSURE : ~left_apart_point(A39_1653_9, L40_1653_9)
% 293.42/42.93
% 293.42/42.93 [21343] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [21455] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93 -> [21456] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [21455] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [21456] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [20453] 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))))
% 293.42/42.93 -> [20454] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.93 -> [20455] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 293.42/42.93
% 293.42/42.93 [20454] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [20455] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [24164] ((unequally_directed_lines(skolem_M7878, M38_1015_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1015_8))) => (left_convergent_lines(skolem_M7878, M38_1015_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1015_8))))
% 293.42/42.93
% 293.42/42.93 [24164] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_1015_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1015_8))) => (left_convergent_lines(skolem_M7878, M38_1015_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1015_8))))
% 293.42/42.93 -> [24165] ~(unequally_directed_lines(skolem_M7878, M38_1015_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1015_8)))
% 293.42/42.93 -> [24166] (left_convergent_lines(skolem_M7878, M38_1015_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1015_8)))
% 293.42/42.93
% 293.42/42.93 [24165] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_1015_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1015_8)))
% 293.42/42.93 -> [24224] ~unequally_directed_lines(skolem_M7878, M38_1015_8)
% 293.42/42.93 -> [24225] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_1015_8))
% 293.42/42.93
% 293.42/42.93 [24225] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_1015_8))
% 293.42/42.93
% 293.42/42.93 [24224] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_1015_8)
% 293.42/42.93
% 293.42/42.93 [24166] BETA_OR : (left_convergent_lines(skolem_M7878, M38_1015_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1015_8)))
% 293.42/42.93 -> [24171] left_convergent_lines(skolem_M7878, M38_1015_8)
% 293.42/42.93 -> [24172] left_convergent_lines(skolem_M7878, reverse_line(M38_1015_8))
% 293.42/42.93
% 293.42/42.93 [24171] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [24507] ~(left_apart_point(A39_2036_9, L40_2036_9) | left_apart_point(A39_2036_9, reverse_line(L40_2036_9)))
% 293.42/42.93
% 293.42/42.93 [24507] ALPHA_NOT_OR : ~(left_apart_point(A39_2036_9, L40_2036_9) | left_apart_point(A39_2036_9, reverse_line(L40_2036_9)))
% 293.42/42.93 -> [24509] ~left_apart_point(A39_2036_9, L40_2036_9), ~left_apart_point(A39_2036_9, reverse_line(L40_2036_9))
% 293.42/42.93
% 293.42/42.93 [24509] CLOSURE : ~left_apart_point(A39_2036_9, L40_2036_9)
% 293.42/42.93
% 293.42/42.93 [24172] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [24414] ~(left_apart_point(A39_2024_9, L40_2024_9) | left_apart_point(A39_2024_9, reverse_line(L40_2024_9)))
% 293.42/42.93
% 293.42/42.93 [24414] ALPHA_NOT_OR : ~(left_apart_point(A39_2024_9, L40_2024_9) | left_apart_point(A39_2024_9, reverse_line(L40_2024_9)))
% 293.42/42.93 -> [24417] ~left_apart_point(A39_2024_9, L40_2024_9), ~left_apart_point(A39_2024_9, reverse_line(L40_2024_9))
% 293.42/42.93
% 293.42/42.93 [24417] CLOSURE : ~left_apart_point(A39_2024_9, L40_2024_9)
% 293.42/42.93
% 293.42/42.93 [20418] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_242_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_242_6)))
% 293.42/42.93 -> [20426] unequally_directed_lines(skolem_N7979, N34_242_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_242_6))
% 293.42/42.93
% 293.42/42.93 [20426] 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)))))
% 293.42/42.93 -> [20458] ((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)))))
% 293.42/42.93
% 293.42/42.93 [20458] 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)))))
% 293.42/42.93 -> [20459] ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.93 -> [20460] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))
% 293.42/42.93
% 293.42/42.93 [20459] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.93 -> [21515] ~line(skolem_L7777)
% 293.42/42.93 -> [21516] ~line(line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.93
% 293.42/42.93 [21515] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [21721] ((unequally_directed_lines(skolem_N7979, M38_853_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_853_8))) => (left_convergent_lines(skolem_N7979, M38_853_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_853_8))))
% 293.42/42.93
% 293.42/42.93 [21721] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_853_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_853_8))) => (left_convergent_lines(skolem_N7979, M38_853_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_853_8))))
% 293.42/42.93 -> [21724] ~(unequally_directed_lines(skolem_N7979, M38_853_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_853_8)))
% 293.42/42.93 -> [21725] (left_convergent_lines(skolem_N7979, M38_853_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_853_8)))
% 293.42/42.93
% 293.42/42.93 [21724] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_853_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_853_8)))
% 293.42/42.93 -> [21801] ~unequally_directed_lines(skolem_N7979, M38_853_8)
% 293.42/42.93 -> [21802] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_853_8))
% 293.42/42.93
% 293.42/42.93 [21802] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_853_8))
% 293.42/42.93
% 293.42/42.93 [21801] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_853_8)
% 293.42/42.93
% 293.42/42.93 [21725] BETA_OR : (left_convergent_lines(skolem_N7979, M38_853_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_853_8)))
% 293.42/42.93 -> [21726] left_convergent_lines(skolem_N7979, M38_853_8)
% 293.42/42.93 -> [21727] left_convergent_lines(skolem_N7979, reverse_line(M38_853_8))
% 293.42/42.93
% 293.42/42.93 [21727] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [21879] ~(left_apart_point(A39_1664_9, L40_1664_9) | left_apart_point(A39_1664_9, reverse_line(L40_1664_9)))
% 293.42/42.93
% 293.42/42.93 [21879] ALPHA_NOT_OR : ~(left_apart_point(A39_1664_9, L40_1664_9) | left_apart_point(A39_1664_9, reverse_line(L40_1664_9)))
% 293.42/42.93 -> [21882] ~left_apart_point(A39_1664_9, L40_1664_9), ~left_apart_point(A39_1664_9, reverse_line(L40_1664_9))
% 293.42/42.93
% 293.42/42.93 [21882] CLOSURE : ~left_apart_point(A39_1664_9, L40_1664_9)
% 293.42/42.93
% 293.42/42.93 [21726] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [21938] ~(left_apart_point(A39_1670_9, L40_1670_9) | left_apart_point(A39_1670_9, reverse_line(L40_1670_9)))
% 293.42/42.93
% 293.42/42.93 [21938] ALPHA_NOT_OR : ~(left_apart_point(A39_1670_9, L40_1670_9) | left_apart_point(A39_1670_9, reverse_line(L40_1670_9)))
% 293.42/42.93 -> [21941] ~left_apart_point(A39_1670_9, L40_1670_9), ~left_apart_point(A39_1670_9, reverse_line(L40_1670_9))
% 293.42/42.93
% 293.42/42.93 [21941] CLOSURE : ~left_apart_point(A39_1670_9, L40_1670_9)
% 293.42/42.93
% 293.42/42.93 [21516] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [21681] ((unequally_directed_lines(skolem_N7979, M38_851_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_851_8))) => (left_convergent_lines(skolem_N7979, M38_851_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_851_8))))
% 293.42/42.93
% 293.42/42.93 [21681] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_851_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_851_8))) => (left_convergent_lines(skolem_N7979, M38_851_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_851_8))))
% 293.42/42.93 -> [21684] ~(unequally_directed_lines(skolem_N7979, M38_851_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_851_8)))
% 293.42/42.93 -> [21685] (left_convergent_lines(skolem_N7979, M38_851_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_851_8)))
% 293.42/42.93
% 293.42/42.93 [21684] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_851_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_851_8)))
% 293.42/42.93 -> [21730] ~unequally_directed_lines(skolem_N7979, M38_851_8)
% 293.42/42.93 -> [21731] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_851_8))
% 293.42/42.93
% 293.42/42.93 [21731] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_851_8))
% 293.42/42.93
% 293.42/42.93 [21730] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_851_8)
% 293.42/42.93
% 293.42/42.93 [21685] BETA_OR : (left_convergent_lines(skolem_N7979, M38_851_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_851_8)))
% 293.42/42.93 -> [21693] left_convergent_lines(skolem_N7979, M38_851_8)
% 293.42/42.93 -> [21694] left_convergent_lines(skolem_N7979, reverse_line(M38_851_8))
% 293.42/42.93
% 293.42/42.93 [21694] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [22236] ~(left_apart_point(A39_1705_9, L40_1705_9) | left_apart_point(A39_1705_9, reverse_line(L40_1705_9)))
% 293.42/42.93
% 293.42/42.93 [22236] ALPHA_NOT_OR : ~(left_apart_point(A39_1705_9, L40_1705_9) | left_apart_point(A39_1705_9, reverse_line(L40_1705_9)))
% 293.42/42.93 -> [22237] ~left_apart_point(A39_1705_9, L40_1705_9), ~left_apart_point(A39_1705_9, reverse_line(L40_1705_9))
% 293.42/42.93
% 293.42/42.93 [22237] CLOSURE : ~left_apart_point(A39_1705_9, L40_1705_9)
% 293.42/42.93
% 293.42/42.93 [21693] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [22249] ~(left_apart_point(A39_1709_9, L40_1709_9) | left_apart_point(A39_1709_9, reverse_line(L40_1709_9)))
% 293.42/42.93
% 293.42/42.93 [22249] ALPHA_NOT_OR : ~(left_apart_point(A39_1709_9, L40_1709_9) | left_apart_point(A39_1709_9, reverse_line(L40_1709_9)))
% 293.42/42.93 -> [22251] ~left_apart_point(A39_1709_9, L40_1709_9), ~left_apart_point(A39_1709_9, reverse_line(L40_1709_9))
% 293.42/42.93
% 293.42/42.93 [22251] CLOSURE : ~left_apart_point(A39_1709_9, L40_1709_9)
% 293.42/42.93
% 293.42/42.93 [20460] 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))))
% 293.42/42.93 -> [20462] unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.93 -> [20463] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.93
% 293.42/42.93 [20462] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.93
% 293.42/42.93 [20463] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [24724] ((unequally_directed_lines(skolem_N7979, M38_1057_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1057_8))) => (left_convergent_lines(skolem_N7979, M38_1057_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1057_8))))
% 293.42/42.93
% 293.42/42.93 [24724] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1057_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1057_8))) => (left_convergent_lines(skolem_N7979, M38_1057_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1057_8))))
% 293.42/42.93 -> [24726] ~(unequally_directed_lines(skolem_N7979, M38_1057_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1057_8)))
% 293.42/42.93 -> [24727] (left_convergent_lines(skolem_N7979, M38_1057_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1057_8)))
% 293.42/42.93
% 293.42/42.93 [24727] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1057_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1057_8)))
% 293.42/42.93 -> [24735] left_convergent_lines(skolem_N7979, M38_1057_8)
% 293.42/42.93 -> [24736] left_convergent_lines(skolem_N7979, reverse_line(M38_1057_8))
% 293.42/42.93
% 293.42/42.93 [24736] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [24757] ~(left_apart_point(A39_2078_9, L40_2078_9) | left_apart_point(A39_2078_9, reverse_line(L40_2078_9)))
% 293.42/42.93
% 293.42/42.93 [24757] ALPHA_NOT_OR : ~(left_apart_point(A39_2078_9, L40_2078_9) | left_apart_point(A39_2078_9, reverse_line(L40_2078_9)))
% 293.42/42.93 -> [24759] ~left_apart_point(A39_2078_9, L40_2078_9), ~left_apart_point(A39_2078_9, reverse_line(L40_2078_9))
% 293.42/42.93
% 293.42/42.93 [24759] CLOSURE : ~left_apart_point(A39_2078_9, L40_2078_9)
% 293.42/42.93
% 293.42/42.93 [24735] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [24767] ~(left_apart_point(A39_2080_9, L40_2080_9) | left_apart_point(A39_2080_9, reverse_line(L40_2080_9)))
% 293.42/42.93
% 293.42/42.93 [24767] ALPHA_NOT_OR : ~(left_apart_point(A39_2080_9, L40_2080_9) | left_apart_point(A39_2080_9, reverse_line(L40_2080_9)))
% 293.42/42.93 -> [24771] ~left_apart_point(A39_2080_9, L40_2080_9), ~left_apart_point(A39_2080_9, reverse_line(L40_2080_9))
% 293.42/42.93
% 293.42/42.93 [24771] CLOSURE : ~left_apart_point(A39_2080_9, L40_2080_9)
% 293.42/42.93
% 293.42/42.93 [24726] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1057_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1057_8)))
% 293.42/42.93 -> [24742] ~unequally_directed_lines(skolem_N7979, M38_1057_8)
% 293.42/42.93 -> [24743] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1057_8))
% 293.42/42.93
% 293.42/42.93 [24743] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1057_8))
% 293.42/42.93
% 293.42/42.93 [24742] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1057_8)
% 293.42/42.93
% 293.42/42.93 [648] 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)))
% 293.42/42.93 -> [651] (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)))
% 293.42/42.93
% 293.42/42.93 [651] 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)))
% 293.42/42.93 -> [658] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 293.42/42.93 -> [659] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [658] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.93 -> [744] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.93
% 293.42/42.93 [744] 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))))
% 293.42/42.93 -> [766] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.93
% 293.42/42.93 [766] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.93 -> [769] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.93 -> [770] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.93
% 293.42/42.93 [769] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.93
% 293.42/42.93 [770] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.93 -> [1334] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.93 -> [1335] distinct_points(skolem_C8282, skolem_B8181)
% 293.42/42.93
% 293.42/42.93 [1334] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.93
% 293.42/42.93 [1335] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.93 -> [1362] ~distinct_lines(N27_0_3, N27_0_3)
% 293.42/42.93
% 293.42/42.93 [1362] 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))))
% 293.42/42.93 -> [1574] (distinct_lines(N27_0_3, N27_0_3) => (distinct_lines(N27_0_3, N27_0_3) | distinct_lines(N27_0_3, N27_0_3)))
% 293.42/42.93
% 293.42/42.93 [1574] BETA_IMPLY : (distinct_lines(N27_0_3, N27_0_3) => (distinct_lines(N27_0_3, N27_0_3) | distinct_lines(N27_0_3, N27_0_3)))
% 293.42/42.93 -> [1576] ~distinct_lines(N27_0_3, N27_0_3)
% 293.42/42.93 -> [1577] (distinct_lines(N27_0_3, N27_0_3) | distinct_lines(N27_0_3, N27_0_3))
% 293.42/42.93
% 293.42/42.93 [1577] BETA_OR : (distinct_lines(N27_0_3, N27_0_3) | distinct_lines(N27_0_3, N27_0_3))
% 293.42/42.93 -> [1581] distinct_lines(N27_0_3, N27_0_3)
% 293.42/42.93 -> [1582] distinct_lines(N27_0_3, N27_0_3)
% 293.42/42.93
% 293.42/42.93 [1581] CLOSURE : distinct_lines(N27_0_3, N27_0_3)
% 293.42/42.93
% 293.42/42.93 [1582] CLOSURE : distinct_lines(N27_0_3, N27_0_3)
% 293.42/42.93
% 293.42/42.93 [1576] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.93 -> [1661] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [1661] 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))))
% 293.42/42.93 -> [4094] (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))))
% 293.42/42.93
% 293.42/42.93 [4094] 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))))
% 293.42/42.93 -> [4095] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93 -> [4096] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.93
% 293.42/42.93 [4095] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [4096] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.93 -> [9237] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93 -> [9238] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [9238] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [9237] 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))))))
% 293.42/42.93 -> [12933] ((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))))))
% 293.42/42.93
% 293.42/42.93 [12933] 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))))))
% 293.42/42.93 -> [12936] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [12937] ((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)))))
% 293.42/42.93
% 293.42/42.93 [12936] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [12980] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93 -> [12981] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [12981] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [12980] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [12937] 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)))))
% 293.42/42.93 -> [13041] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 293.42/42.93 -> [13042] (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 293.42/42.93
% 293.42/42.93 [13041] 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))))
% 293.42/42.93 -> [13048] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)), unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.42/42.93
% 293.42/42.93 [13048] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.42/42.93
% 293.42/42.93 [13042] 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))))
% 293.42/42.93 -> [13045] unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_C8282)), unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.42/42.93
% 293.42/42.93 [13045] 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)))))
% 293.42/42.93 -> [13064] ((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)))))
% 293.42/42.93
% 293.42/42.93 [13064] 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)))))
% 293.42/42.93 -> [13067] ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.93 -> [13068] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))
% 293.42/42.93
% 293.42/42.93 [13067] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.93 -> [13080] ~line(skolem_L7777)
% 293.42/42.93 -> [13081] ~line(line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.93
% 293.42/42.93 [13081] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [13090] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.93
% 293.42/42.93 [13090] 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))))
% 293.42/42.93 -> [13093] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [13094] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93
% 293.42/42.93 [13093] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [13125] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93 -> [13126] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [13126] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [13125] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [13094] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [13098] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93 -> [13099] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [13099] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [13173] ~(left_apart_point(A39_597_9, L40_597_9) | left_apart_point(A39_597_9, reverse_line(L40_597_9)))
% 293.42/42.93
% 293.42/42.93 [13173] ALPHA_NOT_OR : ~(left_apart_point(A39_597_9, L40_597_9) | left_apart_point(A39_597_9, reverse_line(L40_597_9)))
% 293.42/42.93 -> [13174] ~left_apart_point(A39_597_9, L40_597_9), ~left_apart_point(A39_597_9, reverse_line(L40_597_9))
% 293.42/42.93
% 293.42/42.93 [13174] CLOSURE : ~left_apart_point(A39_597_9, L40_597_9)
% 293.42/42.93
% 293.42/42.93 [13098] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [13188] ~(left_apart_point(A39_599_9, L40_599_9) | left_apart_point(A39_599_9, reverse_line(L40_599_9)))
% 293.42/42.93
% 293.42/42.93 [13188] ALPHA_NOT_OR : ~(left_apart_point(A39_599_9, L40_599_9) | left_apart_point(A39_599_9, reverse_line(L40_599_9)))
% 293.42/42.93 -> [13189] ~left_apart_point(A39_599_9, L40_599_9), ~left_apart_point(A39_599_9, reverse_line(L40_599_9))
% 293.42/42.93
% 293.42/42.93 [13189] CLOSURE : ~left_apart_point(A39_599_9, L40_599_9)
% 293.42/42.93
% 293.42/42.93 [13080] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [13111] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.93
% 293.42/42.93 [13111] 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))))
% 293.42/42.93 -> [13114] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [13115] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93
% 293.42/42.93 [13114] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [13139] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93 -> [13140] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [13140] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [13139] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [13115] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [13116] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93 -> [13117] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [13117] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [13182] ~(left_apart_point(A39_598_9, L40_598_9) | left_apart_point(A39_598_9, reverse_line(L40_598_9)))
% 293.42/42.93
% 293.42/42.93 [13182] ALPHA_NOT_OR : ~(left_apart_point(A39_598_9, L40_598_9) | left_apart_point(A39_598_9, reverse_line(L40_598_9)))
% 293.42/42.93 -> [13183] ~left_apart_point(A39_598_9, L40_598_9), ~left_apart_point(A39_598_9, reverse_line(L40_598_9))
% 293.42/42.93
% 293.42/42.93 [13183] CLOSURE : ~left_apart_point(A39_598_9, L40_598_9)
% 293.42/42.93
% 293.42/42.93 [13116] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [13190] ~(left_apart_point(A39_600_9, L40_600_9) | left_apart_point(A39_600_9, reverse_line(L40_600_9)))
% 293.42/42.93
% 293.42/42.93 [13190] ALPHA_NOT_OR : ~(left_apart_point(A39_600_9, L40_600_9) | left_apart_point(A39_600_9, reverse_line(L40_600_9)))
% 293.42/42.93 -> [13191] ~left_apart_point(A39_600_9, L40_600_9), ~left_apart_point(A39_600_9, reverse_line(L40_600_9))
% 293.42/42.93
% 293.42/42.93 [13191] CLOSURE : ~left_apart_point(A39_600_9, L40_600_9)
% 293.42/42.93
% 293.42/42.93 [13068] 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))))
% 293.42/42.93 -> [13074] unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.93 -> [13075] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.93
% 293.42/42.93 [13074] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.93
% 293.42/42.93 [13075] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [13246] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.93
% 293.42/42.93 [13246] 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))))
% 293.42/42.93 -> [13248] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [13249] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93
% 293.42/42.93 [13248] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [13260] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93 -> [13261] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [13261] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [13260] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [13249] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [13253] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93 -> [13254] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [13254] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [13281] ~(left_apart_point(A39_612_9, L40_612_9) | left_apart_point(A39_612_9, reverse_line(L40_612_9)))
% 293.42/42.93
% 293.42/42.93 [13281] ALPHA_NOT_OR : ~(left_apart_point(A39_612_9, L40_612_9) | left_apart_point(A39_612_9, reverse_line(L40_612_9)))
% 293.42/42.93 -> [13283] ~left_apart_point(A39_612_9, L40_612_9), ~left_apart_point(A39_612_9, reverse_line(L40_612_9))
% 293.42/42.93
% 293.42/42.93 [13283] CLOSURE : ~left_apart_point(A39_612_9, L40_612_9)
% 293.42/42.93
% 293.42/42.93 [13253] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [13285] ~(left_apart_point(A39_613_9, L40_613_9) | left_apart_point(A39_613_9, reverse_line(L40_613_9)))
% 293.42/42.93
% 293.42/42.93 [13285] ALPHA_NOT_OR : ~(left_apart_point(A39_613_9, L40_613_9) | left_apart_point(A39_613_9, reverse_line(L40_613_9)))
% 293.42/42.93 -> [13286] ~left_apart_point(A39_613_9, L40_613_9), ~left_apart_point(A39_613_9, reverse_line(L40_613_9))
% 293.42/42.93
% 293.42/42.93 [13286] CLOSURE : ~left_apart_point(A39_613_9, L40_613_9)
% 293.42/42.93
% 293.42/42.93 [659] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.93 -> [1115] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.93
% 293.42/42.93 [1115] 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))))
% 293.42/42.93 -> [1609] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.93
% 293.42/42.93 [1609] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.93 -> [1610] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.93 -> [1611] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.93
% 293.42/42.93 [1610] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.93
% 293.42/42.93 [1611] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.93 -> [5194] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.93 -> [5195] distinct_points(skolem_C8282, skolem_B8181)
% 293.42/42.93
% 293.42/42.93 [5194] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.93
% 293.42/42.93 [5195] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.93 -> [7332] ~distinct_lines(N27_243_3, N27_243_3)
% 293.42/42.93
% 293.42/42.93 [7332] 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))))
% 293.42/42.93 -> [7530] (distinct_lines(N27_243_3, N27_243_3) => (distinct_lines(N27_243_3, N27_243_3) | distinct_lines(N27_243_3, N27_243_3)))
% 293.42/42.93
% 293.42/42.93 [7530] BETA_IMPLY : (distinct_lines(N27_243_3, N27_243_3) => (distinct_lines(N27_243_3, N27_243_3) | distinct_lines(N27_243_3, N27_243_3)))
% 293.42/42.93 -> [7531] ~distinct_lines(N27_243_3, N27_243_3)
% 293.42/42.93 -> [7532] (distinct_lines(N27_243_3, N27_243_3) | distinct_lines(N27_243_3, N27_243_3))
% 293.42/42.93
% 293.42/42.93 [7532] BETA_OR : (distinct_lines(N27_243_3, N27_243_3) | distinct_lines(N27_243_3, N27_243_3))
% 293.42/42.93 -> [7536] distinct_lines(N27_243_3, N27_243_3)
% 293.42/42.93 -> [7537] distinct_lines(N27_243_3, N27_243_3)
% 293.42/42.93
% 293.42/42.93 [7537] CLOSURE : distinct_lines(N27_243_3, N27_243_3)
% 293.42/42.93
% 293.42/42.93 [7536] CLOSURE : distinct_lines(N27_243_3, N27_243_3)
% 293.42/42.93
% 293.42/42.93 [7531] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.93 -> [7673] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [7673] 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))))
% 293.42/42.93 -> [7817] (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))))
% 293.42/42.93
% 293.42/42.93 [7817] 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))))
% 293.42/42.93 -> [7821] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93 -> [7822] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.93
% 293.42/42.93 [7821] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [7822] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.93 -> [15286] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93 -> [15287] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [15287] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [15286] 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))))))
% 293.42/42.93 -> [15897] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_220_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_220_6))) | (unequally_directed_lines(skolem_N7979, N34_220_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_220_6)))))
% 293.42/42.93
% 293.42/42.93 [15897] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_220_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_220_6))) | (unequally_directed_lines(skolem_N7979, N34_220_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_220_6)))))
% 293.42/42.93 -> [15902] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [15903] ((unequally_directed_lines(skolem_M7878, N34_220_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_220_6))) | (unequally_directed_lines(skolem_N7979, N34_220_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_220_6))))
% 293.42/42.93
% 293.42/42.93 [15902] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [15925] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93 -> [15926] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [15926] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [15925] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93
% 293.42/42.93 [15903] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_220_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_220_6))) | (unequally_directed_lines(skolem_N7979, N34_220_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_220_6))))
% 293.42/42.93 -> [25694] (unequally_directed_lines(skolem_M7878, N34_220_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_220_6)))
% 293.42/42.93 -> [25695] (unequally_directed_lines(skolem_N7979, N34_220_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_220_6)))
% 293.42/42.93
% 293.42/42.93 [25694] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_220_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_220_6)))
% 293.42/42.93 -> [25706] unequally_directed_lines(skolem_M7878, N34_220_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_220_6))
% 293.42/42.93
% 293.42/42.93 [25706] 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)))))
% 293.42/42.93 -> [25753] ((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)))))
% 293.42/42.93
% 293.42/42.93 [25753] 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)))))
% 293.42/42.93 -> [25759] ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.42/42.93 -> [25760] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 293.42/42.93
% 293.42/42.93 [25759] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.42/42.93 -> [25770] ~line(skolem_L7777)
% 293.42/42.93 -> [25771] ~line(line_connecting(skolem_B8181, skolem_C8282))
% 293.42/42.93
% 293.42/42.93 [25771] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [25790] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.93
% 293.42/42.93 [25790] 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))))
% 293.42/42.93 -> [25793] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [25794] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93
% 293.42/42.93 [25794] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [25799] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93 -> [25800] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [25800] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [25836] ~(left_apart_point(A39_2236_9, L40_2236_9) | left_apart_point(A39_2236_9, reverse_line(L40_2236_9)))
% 293.42/42.93
% 293.42/42.93 [25836] ALPHA_NOT_OR : ~(left_apart_point(A39_2236_9, L40_2236_9) | left_apart_point(A39_2236_9, reverse_line(L40_2236_9)))
% 293.42/42.93 -> [25839] ~left_apart_point(A39_2236_9, L40_2236_9), ~left_apart_point(A39_2236_9, reverse_line(L40_2236_9))
% 293.42/42.93
% 293.42/42.93 [25839] CLOSURE : ~left_apart_point(A39_2236_9, L40_2236_9)
% 293.42/42.93
% 293.42/42.93 [25799] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [25842] ~(left_apart_point(A39_2237_9, L40_2237_9) | left_apart_point(A39_2237_9, reverse_line(L40_2237_9)))
% 293.42/42.93
% 293.42/42.93 [25842] ALPHA_NOT_OR : ~(left_apart_point(A39_2237_9, L40_2237_9) | left_apart_point(A39_2237_9, reverse_line(L40_2237_9)))
% 293.42/42.93 -> [25845] ~left_apart_point(A39_2237_9, L40_2237_9), ~left_apart_point(A39_2237_9, reverse_line(L40_2237_9))
% 293.42/42.93
% 293.42/42.93 [25845] CLOSURE : ~left_apart_point(A39_2237_9, L40_2237_9)
% 293.42/42.93
% 293.42/42.93 [25793] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [25812] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93 -> [25813] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [25813] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [25812] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [25770] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [25803] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.93
% 293.42/42.93 [25803] 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))))
% 293.42/42.93 -> [25804] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [25805] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93
% 293.42/42.93 [25804] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [25821] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93 -> [25822] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [25822] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [25821] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [25805] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [25808] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.93 -> [25809] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [25809] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [25843] ~(left_apart_point(A39_2238_9, L40_2238_9) | left_apart_point(A39_2238_9, reverse_line(L40_2238_9)))
% 293.42/42.93
% 293.42/42.93 [25843] ALPHA_NOT_OR : ~(left_apart_point(A39_2238_9, L40_2238_9) | left_apart_point(A39_2238_9, reverse_line(L40_2238_9)))
% 293.42/42.93 -> [25846] ~left_apart_point(A39_2238_9, L40_2238_9), ~left_apart_point(A39_2238_9, reverse_line(L40_2238_9))
% 293.42/42.93
% 293.42/42.93 [25846] CLOSURE : ~left_apart_point(A39_2238_9, L40_2238_9)
% 293.42/42.93
% 293.42/42.93 [25808] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [25852] ~(left_apart_point(A39_2240_9, L40_2240_9) | left_apart_point(A39_2240_9, reverse_line(L40_2240_9)))
% 293.42/42.93
% 293.42/42.93 [25852] ALPHA_NOT_OR : ~(left_apart_point(A39_2240_9, L40_2240_9) | left_apart_point(A39_2240_9, reverse_line(L40_2240_9)))
% 293.42/42.93 -> [25855] ~left_apart_point(A39_2240_9, L40_2240_9), ~left_apart_point(A39_2240_9, reverse_line(L40_2240_9))
% 293.42/42.93
% 293.42/42.93 [25855] CLOSURE : ~left_apart_point(A39_2240_9, L40_2240_9)
% 293.42/42.93
% 293.42/42.93 [25760] 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))))
% 293.42/42.93 -> [25763] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.42/42.93 -> [25764] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.42/42.93
% 293.42/42.93 [25763] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.42/42.93
% 293.42/42.93 [25764] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [25883] ((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))))
% 293.42/42.93
% 293.42/42.93 [25883] 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))))
% 293.42/42.93 -> [25885] ~(unequally_directed_lines(skolem_L7777, skolem_N7979) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [25886] (left_convergent_lines(skolem_L7777, skolem_N7979) | left_convergent_lines(skolem_L7777, reverse_line(skolem_N7979)))
% 293.42/42.93
% 293.42/42.93 [25886] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_N7979) | left_convergent_lines(skolem_L7777, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [25890] left_convergent_lines(skolem_L7777, skolem_N7979)
% 293.42/42.93 -> [25891] left_convergent_lines(skolem_L7777, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [25890] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [26035] ~(left_apart_point(A39_2275_9, L40_2275_9) | left_apart_point(A39_2275_9, reverse_line(L40_2275_9)))
% 293.42/42.93
% 293.42/42.93 [26035] ALPHA_NOT_OR : ~(left_apart_point(A39_2275_9, L40_2275_9) | left_apart_point(A39_2275_9, reverse_line(L40_2275_9)))
% 293.42/42.93 -> [26040] ~left_apart_point(A39_2275_9, L40_2275_9), ~left_apart_point(A39_2275_9, reverse_line(L40_2275_9))
% 293.42/42.93
% 293.42/42.93 [26040] CLOSURE : ~left_apart_point(A39_2275_9, L40_2275_9)
% 293.42/42.93
% 293.42/42.93 [25891] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [26043] ~(left_apart_point(A39_2277_9, L40_2277_9) | left_apart_point(A39_2277_9, reverse_line(L40_2277_9)))
% 293.42/42.93
% 293.42/42.93 [26043] ALPHA_NOT_OR : ~(left_apart_point(A39_2277_9, L40_2277_9) | left_apart_point(A39_2277_9, reverse_line(L40_2277_9)))
% 293.42/42.93 -> [26044] ~left_apart_point(A39_2277_9, L40_2277_9), ~left_apart_point(A39_2277_9, reverse_line(L40_2277_9))
% 293.42/42.93
% 293.42/42.93 [26044] CLOSURE : ~left_apart_point(A39_2277_9, L40_2277_9)
% 293.42/42.93
% 293.42/42.93 [25885] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_N7979) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [25898] ~unequally_directed_lines(skolem_L7777, skolem_N7979)
% 293.42/42.93 -> [25899] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [25898] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_N7979)
% 293.42/42.93
% 293.42/42.93 [25899] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [25695] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_220_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_220_6)))
% 293.42/42.93 -> [25703] unequally_directed_lines(skolem_N7979, N34_220_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_220_6))
% 293.42/42.93
% 293.42/42.93 [25703] 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)))))
% 293.42/42.93 -> [26300] ((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)))))
% 293.42/42.93
% 293.42/42.93 [26300] 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)))))
% 293.42/42.93 -> [26304] ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.42/42.93 -> [26305] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 293.42/42.93
% 293.42/42.93 [26304] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.42/42.93 -> [26331] ~line(skolem_L7777)
% 293.42/42.93 -> [26332] ~line(line_connecting(skolem_B8181, skolem_C8282))
% 293.42/42.93
% 293.42/42.93 [26332] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [26485] ((unequally_directed_lines(skolem_N7979, M38_1177_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1177_8))) => (left_convergent_lines(skolem_N7979, M38_1177_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1177_8))))
% 293.42/42.93
% 293.42/42.93 [26485] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1177_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1177_8))) => (left_convergent_lines(skolem_N7979, M38_1177_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1177_8))))
% 293.42/42.93 -> [26487] ~(unequally_directed_lines(skolem_N7979, M38_1177_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1177_8)))
% 293.42/42.93 -> [26488] (left_convergent_lines(skolem_N7979, M38_1177_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1177_8)))
% 293.42/42.93
% 293.42/42.93 [26487] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1177_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1177_8)))
% 293.42/42.93 -> [26498] ~unequally_directed_lines(skolem_N7979, M38_1177_8)
% 293.42/42.93 -> [26499] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1177_8))
% 293.42/42.93
% 293.42/42.93 [26499] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1177_8))
% 293.42/42.93
% 293.42/42.93 [26498] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1177_8)
% 293.42/42.93
% 293.42/42.93 [26488] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1177_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1177_8)))
% 293.42/42.93 -> [26491] left_convergent_lines(skolem_N7979, M38_1177_8)
% 293.42/42.93 -> [26492] left_convergent_lines(skolem_N7979, reverse_line(M38_1177_8))
% 293.42/42.93
% 293.42/42.93 [26491] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [26521] ~(left_apart_point(A39_2353_9, L40_2353_9) | left_apart_point(A39_2353_9, reverse_line(L40_2353_9)))
% 293.42/42.93
% 293.42/42.93 [26521] ALPHA_NOT_OR : ~(left_apart_point(A39_2353_9, L40_2353_9) | left_apart_point(A39_2353_9, reverse_line(L40_2353_9)))
% 293.42/42.93 -> [26524] ~left_apart_point(A39_2353_9, L40_2353_9), ~left_apart_point(A39_2353_9, reverse_line(L40_2353_9))
% 293.42/42.93
% 293.42/42.93 [26524] CLOSURE : ~left_apart_point(A39_2353_9, L40_2353_9)
% 293.42/42.93
% 293.42/42.93 [26492] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [26507] ~(left_apart_point(A39_2347_9, L40_2347_9) | left_apart_point(A39_2347_9, reverse_line(L40_2347_9)))
% 293.42/42.93
% 293.42/42.93 [26507] ALPHA_NOT_OR : ~(left_apart_point(A39_2347_9, L40_2347_9) | left_apart_point(A39_2347_9, reverse_line(L40_2347_9)))
% 293.42/42.93 -> [26510] ~left_apart_point(A39_2347_9, L40_2347_9), ~left_apart_point(A39_2347_9, reverse_line(L40_2347_9))
% 293.42/42.93
% 293.42/42.93 [26510] CLOSURE : ~left_apart_point(A39_2347_9, L40_2347_9)
% 293.42/42.93
% 293.42/42.93 [26331] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [26494] ((unequally_directed_lines(skolem_N7979, M38_1178_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1178_8))) => (left_convergent_lines(skolem_N7979, M38_1178_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1178_8))))
% 293.42/42.93
% 293.42/42.93 [26494] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1178_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1178_8))) => (left_convergent_lines(skolem_N7979, M38_1178_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1178_8))))
% 293.42/42.93 -> [26496] ~(unequally_directed_lines(skolem_N7979, M38_1178_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1178_8)))
% 293.42/42.93 -> [26497] (left_convergent_lines(skolem_N7979, M38_1178_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1178_8)))
% 293.42/42.93
% 293.42/42.93 [26497] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1178_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1178_8)))
% 293.42/42.93 -> [26502] left_convergent_lines(skolem_N7979, M38_1178_8)
% 293.42/42.93 -> [26503] left_convergent_lines(skolem_N7979, reverse_line(M38_1178_8))
% 293.42/42.93
% 293.42/42.93 [26502] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [26514] ~(left_apart_point(A39_2349_9, L40_2349_9) | left_apart_point(A39_2349_9, reverse_line(L40_2349_9)))
% 293.42/42.93
% 293.42/42.93 [26514] ALPHA_NOT_OR : ~(left_apart_point(A39_2349_9, L40_2349_9) | left_apart_point(A39_2349_9, reverse_line(L40_2349_9)))
% 293.42/42.93 -> [26517] ~left_apart_point(A39_2349_9, L40_2349_9), ~left_apart_point(A39_2349_9, reverse_line(L40_2349_9))
% 293.42/42.93
% 293.42/42.93 [26517] CLOSURE : ~left_apart_point(A39_2349_9, L40_2349_9)
% 293.42/42.93
% 293.42/42.93 [26503] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [26513] ~(left_apart_point(A39_2348_9, L40_2348_9) | left_apart_point(A39_2348_9, reverse_line(L40_2348_9)))
% 293.42/42.93
% 293.42/42.93 [26513] ALPHA_NOT_OR : ~(left_apart_point(A39_2348_9, L40_2348_9) | left_apart_point(A39_2348_9, reverse_line(L40_2348_9)))
% 293.42/42.93 -> [26542] ~left_apart_point(A39_2348_9, L40_2348_9), ~left_apart_point(A39_2348_9, reverse_line(L40_2348_9))
% 293.42/42.93
% 293.42/42.93 [26542] CLOSURE : ~left_apart_point(A39_2348_9, L40_2348_9)
% 293.42/42.93
% 293.42/42.93 [26496] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1178_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1178_8)))
% 293.42/42.93 -> [26504] ~unequally_directed_lines(skolem_N7979, M38_1178_8)
% 293.42/42.93 -> [26505] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1178_8))
% 293.42/42.93
% 293.42/42.93 [26504] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1178_8)
% 293.42/42.93
% 293.42/42.93 [26505] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1178_8))
% 293.42/42.93
% 293.42/42.93 [26305] 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))))
% 293.42/42.93 -> [26309] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.42/42.93 -> [26310] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.42/42.93
% 293.42/42.93 [26309] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.42/42.93
% 293.42/42.93 [26310] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [26551] ((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))))
% 293.42/42.93
% 293.42/42.93 [26551] 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))))
% 293.42/42.93 -> [26553] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [26554] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93
% 293.42/42.93 [26553] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [26561] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93 -> [26562] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [26561] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93
% 293.42/42.93 [26562] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [26554] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [26556] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93 -> [26557] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [26556] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [26592] ~(left_apart_point(A39_2368_9, L40_2368_9) | left_apart_point(A39_2368_9, reverse_line(L40_2368_9)))
% 293.42/42.93
% 293.42/42.93 [26592] ALPHA_NOT_OR : ~(left_apart_point(A39_2368_9, L40_2368_9) | left_apart_point(A39_2368_9, reverse_line(L40_2368_9)))
% 293.42/42.93 -> [26593] ~left_apart_point(A39_2368_9, L40_2368_9), ~left_apart_point(A39_2368_9, reverse_line(L40_2368_9))
% 293.42/42.93
% 293.42/42.93 [26593] CLOSURE : ~left_apart_point(A39_2368_9, L40_2368_9)
% 293.42/42.93
% 293.42/42.93 [26557] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [26582] ~(left_apart_point(A39_2363_9, L40_2363_9) | left_apart_point(A39_2363_9, reverse_line(L40_2363_9)))
% 293.42/42.93
% 293.42/42.93 [26582] ALPHA_NOT_OR : ~(left_apart_point(A39_2363_9, L40_2363_9) | left_apart_point(A39_2363_9, reverse_line(L40_2363_9)))
% 293.42/42.93 -> [26583] ~left_apart_point(A39_2363_9, L40_2363_9), ~left_apart_point(A39_2363_9, reverse_line(L40_2363_9))
% 293.42/42.93
% 293.42/42.93 [26583] CLOSURE : ~left_apart_point(A39_2363_9, L40_2363_9)
% 293.42/42.93
% 293.42/42.93 [206] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))))
% 293.42/42.93 -> [386] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.93 -> [387] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.93
% 293.42/42.93 [387] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.93 -> [391] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.93
% 293.42/42.93 [391] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.93 -> [395] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))
% 293.42/42.93 -> [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)))
% 293.42/42.93
% 293.42/42.93 [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)))
% 293.42/42.93 -> [494] (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)))
% 293.42/42.93
% 293.42/42.93 [494] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.93 -> [495] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.42/42.93 -> [496] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [496] 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)))
% 293.42/42.93 -> [560] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 293.42/42.93 -> [561] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [560] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.93 -> [1022] ~distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.93
% 293.42/42.93 [1022] 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))))
% 293.42/42.93 -> [1535] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.93
% 293.42/42.93 [1535] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.93 -> [1538] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.93 -> [1539] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.93
% 293.42/42.93 [1538] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.93
% 293.42/42.93 [1539] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.93 -> [3048] distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.93 -> [3049] distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.93
% 293.42/42.93 [3049] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.93
% 293.42/42.93 [3048] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.93 -> [3364] ~distinct_lines(N27_59_3, N27_59_3)
% 293.42/42.93
% 293.42/42.93 [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))))
% 293.42/42.93 -> [3474] (distinct_lines(N27_59_3, N27_59_3) => (distinct_lines(N27_59_3, N27_59_3) | distinct_lines(N27_59_3, N27_59_3)))
% 293.42/42.93
% 293.42/42.93 [3474] 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)))
% 293.42/42.93 -> [3477] ~distinct_lines(N27_59_3, N27_59_3)
% 293.42/42.93 -> [3478] (distinct_lines(N27_59_3, N27_59_3) | distinct_lines(N27_59_3, N27_59_3))
% 293.42/42.93
% 293.42/42.93 [3478] BETA_OR : (distinct_lines(N27_59_3, N27_59_3) | distinct_lines(N27_59_3, N27_59_3))
% 293.42/42.93 -> [3479] distinct_lines(N27_59_3, N27_59_3)
% 293.42/42.93 -> [3480] distinct_lines(N27_59_3, N27_59_3)
% 293.42/42.93
% 293.42/42.93 [3480] CLOSURE : distinct_lines(N27_59_3, N27_59_3)
% 293.42/42.93
% 293.42/42.93 [3479] CLOSURE : distinct_lines(N27_59_3, N27_59_3)
% 293.42/42.93
% 293.42/42.93 [3477] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.93 -> [3632] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [3632] 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))))
% 293.42/42.93 -> [3878] (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)))
% 293.42/42.93
% 293.42/42.93 [3878] 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)))
% 293.42/42.93 -> [3879] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93 -> [3880] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [3879] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [3880] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.93 -> [7066] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.93 -> [7067] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [7066] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [7067] 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))))))
% 293.42/42.93 -> [7482] ((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)))))
% 293.42/42.93
% 293.42/42.93 [7482] 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)))))
% 293.42/42.93 -> [7483] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [7484] ((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))))
% 293.42/42.93
% 293.42/42.93 [7483] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.93 -> [7499] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93 -> [7500] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [7500] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.93
% 293.42/42.93 [7499] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.93
% 293.42/42.93 [7484] 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))))
% 293.42/42.93 -> [12952] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [12953] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.93
% 293.42/42.93 [12952] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [16156] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [16156] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [12953] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [12955] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [12955] 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)))))
% 293.42/42.93 -> [16123] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.93
% 293.42/42.93 [16123] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.93 -> [16126] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.93 -> [16127] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.93
% 293.42/42.93 [16126] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.93 -> [16164] ~line(skolem_M7878)
% 293.42/42.93 -> [16165] ~line(skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [16165] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [16225] ((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))))
% 293.42/42.93
% 293.42/42.93 [16225] 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))))
% 293.42/42.93 -> [16230] ~(unequally_directed_lines(skolem_N7979, M38_499_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_499_8)))
% 293.42/42.93 -> [16231] (left_convergent_lines(skolem_N7979, M38_499_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_499_8)))
% 293.42/42.93
% 293.42/42.93 [16230] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_499_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_499_8)))
% 293.42/42.93 -> [16271] ~unequally_directed_lines(skolem_N7979, M38_499_8)
% 293.42/42.93 -> [16272] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_499_8))
% 293.42/42.93
% 293.42/42.93 [16272] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_499_8))
% 293.42/42.93
% 293.42/42.93 [16271] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_499_8)
% 293.42/42.93
% 293.42/42.93 [16231] BETA_OR : (left_convergent_lines(skolem_N7979, M38_499_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_499_8)))
% 293.42/42.93 -> [16234] left_convergent_lines(skolem_N7979, M38_499_8)
% 293.42/42.93 -> [16235] left_convergent_lines(skolem_N7979, reverse_line(M38_499_8))
% 293.42/42.93
% 293.42/42.93 [16234] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [16336] ~(left_apart_point(A39_948_9, L40_948_9) | left_apart_point(A39_948_9, reverse_line(L40_948_9)))
% 293.42/42.93
% 293.42/42.93 [16336] ALPHA_NOT_OR : ~(left_apart_point(A39_948_9, L40_948_9) | left_apart_point(A39_948_9, reverse_line(L40_948_9)))
% 293.42/42.93 -> [16337] ~left_apart_point(A39_948_9, L40_948_9), ~left_apart_point(A39_948_9, reverse_line(L40_948_9))
% 293.42/42.93
% 293.42/42.93 [16337] CLOSURE : ~left_apart_point(A39_948_9, L40_948_9)
% 293.42/42.93
% 293.42/42.93 [16235] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [16340] ~(left_apart_point(A39_949_9, L40_949_9) | left_apart_point(A39_949_9, reverse_line(L40_949_9)))
% 293.42/42.93
% 293.42/42.93 [16340] ALPHA_NOT_OR : ~(left_apart_point(A39_949_9, L40_949_9) | left_apart_point(A39_949_9, reverse_line(L40_949_9)))
% 293.42/42.93 -> [16341] ~left_apart_point(A39_949_9, L40_949_9), ~left_apart_point(A39_949_9, reverse_line(L40_949_9))
% 293.42/42.93
% 293.42/42.93 [16341] CLOSURE : ~left_apart_point(A39_949_9, L40_949_9)
% 293.42/42.93
% 293.42/42.93 [16164] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [16255] ((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))))
% 293.42/42.93
% 293.42/42.93 [16255] 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))))
% 293.42/42.93 -> [16257] ~(unequally_directed_lines(skolem_N7979, M38_502_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_502_8)))
% 293.42/42.93 -> [16258] (left_convergent_lines(skolem_N7979, M38_502_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_502_8)))
% 293.42/42.93
% 293.42/42.93 [16257] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_502_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_502_8)))
% 293.42/42.93 -> [16288] ~unequally_directed_lines(skolem_N7979, M38_502_8)
% 293.42/42.93 -> [16289] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_502_8))
% 293.42/42.93
% 293.42/42.93 [16289] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_502_8))
% 293.42/42.93
% 293.42/42.93 [16288] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_502_8)
% 293.42/42.93
% 293.42/42.93 [16258] BETA_OR : (left_convergent_lines(skolem_N7979, M38_502_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_502_8)))
% 293.42/42.93 -> [16265] left_convergent_lines(skolem_N7979, M38_502_8)
% 293.42/42.93 -> [16266] left_convergent_lines(skolem_N7979, reverse_line(M38_502_8))
% 293.42/42.93
% 293.42/42.93 [16266] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [16329] ~(left_apart_point(A39_947_9, L40_947_9) | left_apart_point(A39_947_9, reverse_line(L40_947_9)))
% 293.42/42.93
% 293.42/42.93 [16329] ALPHA_NOT_OR : ~(left_apart_point(A39_947_9, L40_947_9) | left_apart_point(A39_947_9, reverse_line(L40_947_9)))
% 293.42/42.93 -> [16330] ~left_apart_point(A39_947_9, L40_947_9), ~left_apart_point(A39_947_9, reverse_line(L40_947_9))
% 293.42/42.93
% 293.42/42.93 [16330] CLOSURE : ~left_apart_point(A39_947_9, L40_947_9)
% 293.42/42.93
% 293.42/42.93 [16265] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [16363] ~(left_apart_point(A39_953_9, L40_953_9) | left_apart_point(A39_953_9, reverse_line(L40_953_9)))
% 293.42/42.93
% 293.42/42.93 [16363] ALPHA_NOT_OR : ~(left_apart_point(A39_953_9, L40_953_9) | left_apart_point(A39_953_9, reverse_line(L40_953_9)))
% 293.42/42.93 -> [16364] ~left_apart_point(A39_953_9, L40_953_9), ~left_apart_point(A39_953_9, reverse_line(L40_953_9))
% 293.42/42.93
% 293.42/42.93 [16364] CLOSURE : ~left_apart_point(A39_953_9, L40_953_9)
% 293.42/42.93
% 293.42/42.93 [16127] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.93 -> [16132] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.93 -> [16133] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.93
% 293.42/42.93 [16132] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.93
% 293.42/42.93 [16133] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.93 -> [16890] ((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))))
% 293.42/42.93
% 293.42/42.93 [16890] 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))))
% 293.42/42.93 -> [16893] ~(unequally_directed_lines(skolem_N7979, M38_549_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_549_8)))
% 293.42/42.93 -> [16894] (left_convergent_lines(skolem_N7979, M38_549_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_549_8)))
% 293.42/42.93
% 293.42/42.93 [16894] BETA_OR : (left_convergent_lines(skolem_N7979, M38_549_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_549_8)))
% 293.42/42.93 -> [16896] left_convergent_lines(skolem_N7979, M38_549_8)
% 293.42/42.93 -> [16897] left_convergent_lines(skolem_N7979, reverse_line(M38_549_8))
% 293.42/42.93
% 293.42/42.93 [16897] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.93 -> [17579] ~(left_apart_point(A39_1118_9, L40_1118_9) | left_apart_point(A39_1118_9, reverse_line(L40_1118_9)))
% 293.42/42.93
% 293.42/42.93 [17579] ALPHA_NOT_OR : ~(left_apart_point(A39_1118_9, L40_1118_9) | left_apart_point(A39_1118_9, reverse_line(L40_1118_9)))
% 293.42/42.93 -> [17580] ~left_apart_point(A39_1118_9, L40_1118_9), ~left_apart_point(A39_1118_9, reverse_line(L40_1118_9))
% 293.42/42.93
% 293.42/42.93 [17580] CLOSURE : ~left_apart_point(A39_1118_9, L40_1118_9)
% 293.42/42.93
% 293.42/42.93 [16896] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [19709] ~(left_apart_point(A39_1370_9, L40_1370_9) | left_apart_point(A39_1370_9, reverse_line(L40_1370_9)))
% 293.42/42.94
% 293.42/42.94 [19709] ALPHA_NOT_OR : ~(left_apart_point(A39_1370_9, L40_1370_9) | left_apart_point(A39_1370_9, reverse_line(L40_1370_9)))
% 293.42/42.94 -> [19711] ~left_apart_point(A39_1370_9, L40_1370_9), ~left_apart_point(A39_1370_9, reverse_line(L40_1370_9))
% 293.42/42.94
% 293.42/42.94 [19711] CLOSURE : ~left_apart_point(A39_1370_9, L40_1370_9)
% 293.42/42.94
% 293.42/42.94 [16893] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_549_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_549_8)))
% 293.42/42.94 -> [17059] ~unequally_directed_lines(skolem_N7979, M38_549_8)
% 293.42/42.94 -> [17060] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_549_8))
% 293.42/42.94
% 293.42/42.94 [17060] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_549_8))
% 293.42/42.94
% 293.42/42.94 [17059] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_549_8)
% 293.42/42.94
% 293.42/42.94 [561] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.94 -> [609] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.94
% 293.42/42.94 [609] 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))))
% 293.42/42.94 -> [696] (distinct_points(skolem_A8080, skolem_B8181) => (distinct_points(skolem_A8080, skolem_B8181) | distinct_points(skolem_B8181, skolem_B8181)))
% 293.42/42.94
% 293.42/42.94 [696] BETA_IMPLY : (distinct_points(skolem_A8080, skolem_B8181) => (distinct_points(skolem_A8080, skolem_B8181) | distinct_points(skolem_B8181, skolem_B8181)))
% 293.42/42.94 -> [697] ~distinct_points(skolem_A8080, skolem_B8181)
% 293.42/42.94 -> [698] (distinct_points(skolem_A8080, skolem_B8181) | distinct_points(skolem_B8181, skolem_B8181))
% 293.42/42.94
% 293.42/42.94 [697] CLOSURE : ~distinct_points(skolem_A8080, skolem_B8181)
% 293.42/42.94
% 293.42/42.94 [698] BETA_OR : (distinct_points(skolem_A8080, skolem_B8181) | distinct_points(skolem_B8181, skolem_B8181))
% 293.42/42.94 -> [3836] distinct_points(skolem_A8080, skolem_B8181)
% 293.42/42.94 -> [3837] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.94
% 293.42/42.94 [3837] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.94
% 293.42/42.94 [3836] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.94 -> [5410] ~distinct_lines(N27_159_3, N27_159_3)
% 293.42/42.94
% 293.42/42.94 [5410] 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))))
% 293.42/42.94 -> [5608] (distinct_lines(N27_159_3, N27_159_3) => (distinct_lines(N27_159_3, N27_159_3) | distinct_lines(N27_159_3, N27_159_3)))
% 293.42/42.94
% 293.42/42.94 [5608] BETA_IMPLY : (distinct_lines(N27_159_3, N27_159_3) => (distinct_lines(N27_159_3, N27_159_3) | distinct_lines(N27_159_3, N27_159_3)))
% 293.42/42.94 -> [5613] ~distinct_lines(N27_159_3, N27_159_3)
% 293.42/42.94 -> [5614] (distinct_lines(N27_159_3, N27_159_3) | distinct_lines(N27_159_3, N27_159_3))
% 293.42/42.94
% 293.42/42.94 [5614] BETA_OR : (distinct_lines(N27_159_3, N27_159_3) | distinct_lines(N27_159_3, N27_159_3))
% 293.42/42.94 -> [5617] distinct_lines(N27_159_3, N27_159_3)
% 293.42/42.94 -> [5618] distinct_lines(N27_159_3, N27_159_3)
% 293.42/42.94
% 293.42/42.94 [5617] CLOSURE : distinct_lines(N27_159_3, N27_159_3)
% 293.42/42.94
% 293.42/42.94 [5618] CLOSURE : distinct_lines(N27_159_3, N27_159_3)
% 293.42/42.94
% 293.42/42.94 [5613] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.94 -> [5910] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.94
% 293.42/42.94 [5910] 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))))
% 293.42/42.94 -> [6235] (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)))
% 293.42/42.94
% 293.42/42.94 [6235] 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)))
% 293.42/42.94 -> [6236] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94 -> [6237] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [6236] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [6237] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.94 -> [14795] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.94 -> [14796] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.94
% 293.42/42.94 [14795] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.94
% 293.42/42.94 [14796] 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))))))
% 293.42/42.94 -> [17018] ((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)))))
% 293.42/42.94
% 293.42/42.94 [17018] 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)))))
% 293.42/42.94 -> [17019] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.94 -> [17020] ((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))))
% 293.42/42.94
% 293.42/42.94 [17019] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.94 -> [17030] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.94 -> [17031] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [17031] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [17030] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.94
% 293.42/42.94 [17020] 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))))
% 293.42/42.94 -> [20634] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [20635] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.94
% 293.42/42.94 [20635] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [20637] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [20637] 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)))))
% 293.42/42.94 -> [20862] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.94
% 293.42/42.94 [20862] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.94 -> [20864] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.94 -> [20865] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.94
% 293.42/42.94 [20865] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [20873] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.94 -> [20874] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [20873] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.94
% 293.42/42.94 [20874] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [21268] ((unequally_directed_lines(skolem_N7979, M38_823_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_823_8))) => (left_convergent_lines(skolem_N7979, M38_823_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_823_8))))
% 293.42/42.94
% 293.42/42.94 [21268] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_823_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_823_8))) => (left_convergent_lines(skolem_N7979, M38_823_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_823_8))))
% 293.42/42.94 -> [21271] ~(unequally_directed_lines(skolem_N7979, M38_823_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_823_8)))
% 293.42/42.94 -> [21272] (left_convergent_lines(skolem_N7979, M38_823_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_823_8)))
% 293.42/42.94
% 293.42/42.94 [21272] BETA_OR : (left_convergent_lines(skolem_N7979, M38_823_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_823_8)))
% 293.42/42.94 -> [21277] left_convergent_lines(skolem_N7979, M38_823_8)
% 293.42/42.94 -> [21278] left_convergent_lines(skolem_N7979, reverse_line(M38_823_8))
% 293.42/42.94
% 293.42/42.94 [21278] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [21672] ~(left_apart_point(A39_1620_9, L40_1620_9) | left_apart_point(A39_1620_9, reverse_line(L40_1620_9)))
% 293.42/42.94
% 293.42/42.94 [21672] ALPHA_NOT_OR : ~(left_apart_point(A39_1620_9, L40_1620_9) | left_apart_point(A39_1620_9, reverse_line(L40_1620_9)))
% 293.42/42.94 -> [21674] ~left_apart_point(A39_1620_9, L40_1620_9), ~left_apart_point(A39_1620_9, reverse_line(L40_1620_9))
% 293.42/42.94
% 293.42/42.94 [21674] CLOSURE : ~left_apart_point(A39_1620_9, L40_1620_9)
% 293.42/42.94
% 293.42/42.94 [21277] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [21728] ~(left_apart_point(A39_1631_9, L40_1631_9) | left_apart_point(A39_1631_9, reverse_line(L40_1631_9)))
% 293.42/42.94
% 293.42/42.94 [21728] ALPHA_NOT_OR : ~(left_apart_point(A39_1631_9, L40_1631_9) | left_apart_point(A39_1631_9, reverse_line(L40_1631_9)))
% 293.42/42.94 -> [21729] ~left_apart_point(A39_1631_9, L40_1631_9), ~left_apart_point(A39_1631_9, reverse_line(L40_1631_9))
% 293.42/42.94
% 293.42/42.94 [21729] CLOSURE : ~left_apart_point(A39_1631_9, L40_1631_9)
% 293.42/42.94
% 293.42/42.94 [21271] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_823_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_823_8)))
% 293.42/42.94 -> [21395] ~unequally_directed_lines(skolem_N7979, M38_823_8)
% 293.42/42.94 -> [21396] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_823_8))
% 293.42/42.94
% 293.42/42.94 [21396] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_823_8))
% 293.42/42.94
% 293.42/42.94 [21395] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_823_8)
% 293.42/42.94
% 293.42/42.94 [20864] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.94 -> [20947] ~line(skolem_M7878)
% 293.42/42.94 -> [20948] ~line(skolem_M7878)
% 293.42/42.94
% 293.42/42.94 [20947] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [21910] ((unequally_directed_lines(skolem_N7979, M38_863_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_863_8))) => (left_convergent_lines(skolem_N7979, M38_863_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_863_8))))
% 293.42/42.94
% 293.42/42.94 [21910] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_863_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_863_8))) => (left_convergent_lines(skolem_N7979, M38_863_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_863_8))))
% 293.42/42.94 -> [21917] ~(unequally_directed_lines(skolem_N7979, M38_863_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_863_8)))
% 293.42/42.94 -> [21918] (left_convergent_lines(skolem_N7979, M38_863_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_863_8)))
% 293.42/42.94
% 293.42/42.94 [21917] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_863_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_863_8)))
% 293.42/42.94 -> [21970] ~unequally_directed_lines(skolem_N7979, M38_863_8)
% 293.42/42.94 -> [21971] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_863_8))
% 293.42/42.94
% 293.42/42.94 [21971] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_863_8))
% 293.42/42.94
% 293.42/42.94 [21970] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_863_8)
% 293.42/42.94
% 293.42/42.94 [21918] BETA_OR : (left_convergent_lines(skolem_N7979, M38_863_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_863_8)))
% 293.42/42.94 -> [21922] left_convergent_lines(skolem_N7979, M38_863_8)
% 293.42/42.94 -> [21923] left_convergent_lines(skolem_N7979, reverse_line(M38_863_8))
% 293.42/42.94
% 293.42/42.94 [21923] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [22108] ~(left_apart_point(A39_1686_9, L40_1686_9) | left_apart_point(A39_1686_9, reverse_line(L40_1686_9)))
% 293.42/42.94
% 293.42/42.94 [22108] ALPHA_NOT_OR : ~(left_apart_point(A39_1686_9, L40_1686_9) | left_apart_point(A39_1686_9, reverse_line(L40_1686_9)))
% 293.42/42.94 -> [22110] ~left_apart_point(A39_1686_9, L40_1686_9), ~left_apart_point(A39_1686_9, reverse_line(L40_1686_9))
% 293.42/42.94
% 293.42/42.94 [22110] CLOSURE : ~left_apart_point(A39_1686_9, L40_1686_9)
% 293.42/42.94
% 293.42/42.94 [21922] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [22148] ~(left_apart_point(A39_1692_9, L40_1692_9) | left_apart_point(A39_1692_9, reverse_line(L40_1692_9)))
% 293.42/42.94
% 293.42/42.94 [22148] ALPHA_NOT_OR : ~(left_apart_point(A39_1692_9, L40_1692_9) | left_apart_point(A39_1692_9, reverse_line(L40_1692_9)))
% 293.42/42.94 -> [22153] ~left_apart_point(A39_1692_9, L40_1692_9), ~left_apart_point(A39_1692_9, reverse_line(L40_1692_9))
% 293.42/42.94
% 293.42/42.94 [22153] CLOSURE : ~left_apart_point(A39_1692_9, L40_1692_9)
% 293.42/42.94
% 293.42/42.94 [20948] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [21256] ((unequally_directed_lines(skolem_N7979, M38_822_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_822_8))) => (left_convergent_lines(skolem_N7979, M38_822_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_822_8))))
% 293.42/42.94
% 293.42/42.94 [21256] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_822_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_822_8))) => (left_convergent_lines(skolem_N7979, M38_822_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_822_8))))
% 293.42/42.94 -> [21260] ~(unequally_directed_lines(skolem_N7979, M38_822_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_822_8)))
% 293.42/42.94 -> [21261] (left_convergent_lines(skolem_N7979, M38_822_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_822_8)))
% 293.42/42.94
% 293.42/42.94 [21260] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_822_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_822_8)))
% 293.42/42.94 -> [21982] ~unequally_directed_lines(skolem_N7979, M38_822_8)
% 293.42/42.94 -> [21983] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_822_8))
% 293.42/42.94
% 293.42/42.94 [21983] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_822_8))
% 293.42/42.94
% 293.42/42.94 [21982] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_822_8)
% 293.42/42.94
% 293.42/42.94 [21261] BETA_OR : (left_convergent_lines(skolem_N7979, M38_822_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_822_8)))
% 293.42/42.94 -> [21264] left_convergent_lines(skolem_N7979, M38_822_8)
% 293.42/42.94 -> [21265] left_convergent_lines(skolem_N7979, reverse_line(M38_822_8))
% 293.42/42.94
% 293.42/42.94 [21265] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [21647] ~(left_apart_point(A39_1614_9, L40_1614_9) | left_apart_point(A39_1614_9, reverse_line(L40_1614_9)))
% 293.42/42.94
% 293.42/42.94 [21647] ALPHA_NOT_OR : ~(left_apart_point(A39_1614_9, L40_1614_9) | left_apart_point(A39_1614_9, reverse_line(L40_1614_9)))
% 293.42/42.94 -> [21652] ~left_apart_point(A39_1614_9, L40_1614_9), ~left_apart_point(A39_1614_9, reverse_line(L40_1614_9))
% 293.42/42.94
% 293.42/42.94 [21652] CLOSURE : ~left_apart_point(A39_1614_9, L40_1614_9)
% 293.42/42.94
% 293.42/42.94 [21264] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [22384] ~(left_apart_point(A39_1734_9, L40_1734_9) | left_apart_point(A39_1734_9, reverse_line(L40_1734_9)))
% 293.42/42.94
% 293.42/42.94 [22384] ALPHA_NOT_OR : ~(left_apart_point(A39_1734_9, L40_1734_9) | left_apart_point(A39_1734_9, reverse_line(L40_1734_9)))
% 293.42/42.94 -> [22385] ~left_apart_point(A39_1734_9, L40_1734_9), ~left_apart_point(A39_1734_9, reverse_line(L40_1734_9))
% 293.42/42.94
% 293.42/42.94 [22385] CLOSURE : ~left_apart_point(A39_1734_9, L40_1734_9)
% 293.42/42.94
% 293.42/42.94 [20634] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [20642] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [20642] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.94
% 293.42/42.94 [495] 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)))
% 293.42/42.94 -> [993] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 293.42/42.94 -> [994] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [994] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.94 -> [1048] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.94
% 293.42/42.94 [1048] 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))))
% 293.42/42.94 -> [1643] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.94
% 293.42/42.94 [1643] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.94 -> [1644] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.94 -> [1645] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.94
% 293.42/42.94 [1644] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.94
% 293.42/42.94 [1645] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.94 -> [2141] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.94 -> [2142] distinct_points(skolem_C8282, skolem_B8181)
% 293.42/42.94
% 293.42/42.94 [2141] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.94
% 293.42/42.94 [2142] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.94 -> [2160] ~distinct_lines(N27_11_3, N27_11_3)
% 293.42/42.94
% 293.42/42.94 [2160] 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))))
% 293.42/42.94 -> [2176] (distinct_lines(N27_11_3, N27_11_3) => (distinct_lines(N27_11_3, N27_11_3) | distinct_lines(N27_11_3, N27_11_3)))
% 293.42/42.94
% 293.42/42.94 [2176] 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)))
% 293.42/42.94 -> [2177] ~distinct_lines(N27_11_3, N27_11_3)
% 293.42/42.94 -> [2178] (distinct_lines(N27_11_3, N27_11_3) | distinct_lines(N27_11_3, N27_11_3))
% 293.42/42.94
% 293.42/42.94 [2178] BETA_OR : (distinct_lines(N27_11_3, N27_11_3) | distinct_lines(N27_11_3, N27_11_3))
% 293.42/42.94 -> [2184] distinct_lines(N27_11_3, N27_11_3)
% 293.42/42.94 -> [2185] distinct_lines(N27_11_3, N27_11_3)
% 293.42/42.94
% 293.42/42.94 [2185] CLOSURE : distinct_lines(N27_11_3, N27_11_3)
% 293.42/42.94
% 293.42/42.94 [2184] CLOSURE : distinct_lines(N27_11_3, N27_11_3)
% 293.42/42.94
% 293.42/42.94 [2177] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.94 -> [2209] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [2209] 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))))
% 293.42/42.94 -> [2214] (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))))
% 293.42/42.94
% 293.42/42.94 [2214] 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))))
% 293.42/42.94 -> [2215] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94 -> [2216] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.94
% 293.42/42.94 [2215] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [2216] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.94 -> [4850] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94 -> [4851] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [4851] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [4850] 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))))))
% 293.42/42.94 -> [6116] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_37_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_37_6))) | (unequally_directed_lines(skolem_N7979, N34_37_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_37_6)))))
% 293.42/42.94
% 293.42/42.94 [6116] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_37_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_37_6))) | (unequally_directed_lines(skolem_N7979, N34_37_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_37_6)))))
% 293.42/42.94 -> [6117] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.94 -> [6118] ((unequally_directed_lines(skolem_M7878, N34_37_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_37_6))) | (unequally_directed_lines(skolem_N7979, N34_37_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_37_6))))
% 293.42/42.94
% 293.42/42.94 [6117] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.94 -> [6135] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.94 -> [6136] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [6136] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [6135] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.94
% 293.42/42.94 [6118] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_37_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_37_6))) | (unequally_directed_lines(skolem_N7979, N34_37_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_37_6))))
% 293.42/42.94 -> [9014] (unequally_directed_lines(skolem_M7878, N34_37_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_37_6)))
% 293.42/42.94 -> [9015] (unequally_directed_lines(skolem_N7979, N34_37_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_37_6)))
% 293.42/42.94
% 293.42/42.94 [9014] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_37_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_37_6)))
% 293.42/42.94 -> [9073] unequally_directed_lines(skolem_M7878, N34_37_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_37_6))
% 293.42/42.94
% 293.42/42.94 [9073] 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)))))
% 293.42/42.94 -> [9333] ((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)))))
% 293.42/42.94
% 293.42/42.94 [9333] 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)))))
% 293.42/42.94 -> [9335] ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.94 -> [9336] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))
% 293.42/42.94
% 293.42/42.94 [9335] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.94 -> [9355] ~line(skolem_L7777)
% 293.42/42.94 -> [9356] ~line(line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.94
% 293.42/42.94 [9356] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [9404] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.94
% 293.42/42.94 [9404] 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))))
% 293.42/42.94 -> [9405] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [9406] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94
% 293.42/42.94 [9405] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [9435] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94 -> [9436] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [9436] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [9435] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94
% 293.42/42.94 [9406] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [9409] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94 -> [9410] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [9410] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [9485] ~(left_apart_point(A39_236_9, L40_236_9) | left_apart_point(A39_236_9, reverse_line(L40_236_9)))
% 293.42/42.94
% 293.42/42.94 [9485] ALPHA_NOT_OR : ~(left_apart_point(A39_236_9, L40_236_9) | left_apart_point(A39_236_9, reverse_line(L40_236_9)))
% 293.42/42.94 -> [9486] ~left_apart_point(A39_236_9, L40_236_9), ~left_apart_point(A39_236_9, reverse_line(L40_236_9))
% 293.42/42.94
% 293.42/42.94 [9486] CLOSURE : ~left_apart_point(A39_236_9, L40_236_9)
% 293.42/42.94
% 293.42/42.94 [9409] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [9515] ~(left_apart_point(A39_238_9, L40_238_9) | left_apart_point(A39_238_9, reverse_line(L40_238_9)))
% 293.42/42.94
% 293.42/42.94 [9515] ALPHA_NOT_OR : ~(left_apart_point(A39_238_9, L40_238_9) | left_apart_point(A39_238_9, reverse_line(L40_238_9)))
% 293.42/42.94 -> [9517] ~left_apart_point(A39_238_9, L40_238_9), ~left_apart_point(A39_238_9, reverse_line(L40_238_9))
% 293.42/42.94
% 293.42/42.94 [9517] CLOSURE : ~left_apart_point(A39_238_9, L40_238_9)
% 293.42/42.94
% 293.42/42.94 [9355] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [9424] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.94
% 293.42/42.94 [9424] 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))))
% 293.42/42.94 -> [9427] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [9428] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94
% 293.42/42.94 [9427] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [9447] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94 -> [9448] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [9448] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [9447] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94
% 293.42/42.94 [9428] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [9433] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94 -> [9434] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [9434] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [9506] ~(left_apart_point(A39_237_9, L40_237_9) | left_apart_point(A39_237_9, reverse_line(L40_237_9)))
% 293.42/42.94
% 293.42/42.94 [9506] ALPHA_NOT_OR : ~(left_apart_point(A39_237_9, L40_237_9) | left_apart_point(A39_237_9, reverse_line(L40_237_9)))
% 293.42/42.94 -> [9507] ~left_apart_point(A39_237_9, L40_237_9), ~left_apart_point(A39_237_9, reverse_line(L40_237_9))
% 293.42/42.94
% 293.42/42.94 [9507] CLOSURE : ~left_apart_point(A39_237_9, L40_237_9)
% 293.42/42.94
% 293.42/42.94 [9433] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [9545] ~(left_apart_point(A39_241_9, L40_241_9) | left_apart_point(A39_241_9, reverse_line(L40_241_9)))
% 293.42/42.94
% 293.42/42.94 [9545] ALPHA_NOT_OR : ~(left_apart_point(A39_241_9, L40_241_9) | left_apart_point(A39_241_9, reverse_line(L40_241_9)))
% 293.42/42.94 -> [9550] ~left_apart_point(A39_241_9, L40_241_9), ~left_apart_point(A39_241_9, reverse_line(L40_241_9))
% 293.42/42.94
% 293.42/42.94 [9550] CLOSURE : ~left_apart_point(A39_241_9, L40_241_9)
% 293.42/42.94
% 293.42/42.94 [9336] 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))))
% 293.42/42.94 -> [9341] unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.94 -> [9342] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.94
% 293.42/42.94 [9341] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.94
% 293.42/42.94 [9342] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [9966] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.94
% 293.42/42.94 [9966] 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))))
% 293.42/42.94 -> [9973] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [9974] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94
% 293.42/42.94 [9973] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [9987] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94 -> [9988] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [9988] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [9987] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94
% 293.42/42.94 [9974] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [9977] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94 -> [9978] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [9978] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [10079] ~(left_apart_point(A39_292_9, L40_292_9) | left_apart_point(A39_292_9, reverse_line(L40_292_9)))
% 293.42/42.94
% 293.42/42.94 [10079] ALPHA_NOT_OR : ~(left_apart_point(A39_292_9, L40_292_9) | left_apart_point(A39_292_9, reverse_line(L40_292_9)))
% 293.42/42.94 -> [10080] ~left_apart_point(A39_292_9, L40_292_9), ~left_apart_point(A39_292_9, reverse_line(L40_292_9))
% 293.42/42.94
% 293.42/42.94 [10080] CLOSURE : ~left_apart_point(A39_292_9, L40_292_9)
% 293.42/42.94
% 293.42/42.94 [9977] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [10119] ~(left_apart_point(A39_293_9, L40_293_9) | left_apart_point(A39_293_9, reverse_line(L40_293_9)))
% 293.42/42.94
% 293.42/42.94 [10119] ALPHA_NOT_OR : ~(left_apart_point(A39_293_9, L40_293_9) | left_apart_point(A39_293_9, reverse_line(L40_293_9)))
% 293.42/42.94 -> [10122] ~left_apart_point(A39_293_9, L40_293_9), ~left_apart_point(A39_293_9, reverse_line(L40_293_9))
% 293.42/42.94
% 293.42/42.94 [10122] CLOSURE : ~left_apart_point(A39_293_9, L40_293_9)
% 293.42/42.94
% 293.42/42.94 [9015] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_37_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_37_6)))
% 293.42/42.94 -> [9021] unequally_directed_lines(skolem_N7979, N34_37_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_37_6))
% 293.42/42.94
% 293.42/42.94 [9021] 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)))))
% 293.42/42.94 -> [9325] ((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)))))
% 293.42/42.94
% 293.42/42.94 [9325] 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)))))
% 293.42/42.94 -> [9326] ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.94 -> [9327] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))
% 293.42/42.94
% 293.42/42.94 [9326] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.94 -> [9349] ~line(skolem_L7777)
% 293.42/42.94 -> [9350] ~line(line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.94
% 293.42/42.94 [9350] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [9390] ((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))))
% 293.42/42.94
% 293.42/42.94 [9390] 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))))
% 293.42/42.94 -> [9395] ~(unequally_directed_lines(skolem_N7979, M38_128_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_128_8)))
% 293.42/42.94 -> [9396] (left_convergent_lines(skolem_N7979, M38_128_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_128_8)))
% 293.42/42.94
% 293.42/42.94 [9395] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_128_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_128_8)))
% 293.42/42.94 -> [9421] ~unequally_directed_lines(skolem_N7979, M38_128_8)
% 293.42/42.94 -> [9422] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_128_8))
% 293.42/42.94
% 293.42/42.94 [9422] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_128_8))
% 293.42/42.94
% 293.42/42.94 [9421] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_128_8)
% 293.42/42.94
% 293.42/42.94 [9396] BETA_OR : (left_convergent_lines(skolem_N7979, M38_128_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_128_8)))
% 293.42/42.94 -> [9397] left_convergent_lines(skolem_N7979, M38_128_8)
% 293.42/42.94 -> [9398] left_convergent_lines(skolem_N7979, reverse_line(M38_128_8))
% 293.42/42.94
% 293.42/42.94 [9398] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [9475] ~(left_apart_point(A39_235_9, L40_235_9) | left_apart_point(A39_235_9, reverse_line(L40_235_9)))
% 293.42/42.94
% 293.42/42.94 [9475] ALPHA_NOT_OR : ~(left_apart_point(A39_235_9, L40_235_9) | left_apart_point(A39_235_9, reverse_line(L40_235_9)))
% 293.42/42.94 -> [9476] ~left_apart_point(A39_235_9, L40_235_9), ~left_apart_point(A39_235_9, reverse_line(L40_235_9))
% 293.42/42.94
% 293.42/42.94 [9476] CLOSURE : ~left_apart_point(A39_235_9, L40_235_9)
% 293.42/42.94
% 293.42/42.94 [9397] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [9530] ~(left_apart_point(A39_240_9, L40_240_9) | left_apart_point(A39_240_9, reverse_line(L40_240_9)))
% 293.42/42.94
% 293.42/42.94 [9530] ALPHA_NOT_OR : ~(left_apart_point(A39_240_9, L40_240_9) | left_apart_point(A39_240_9, reverse_line(L40_240_9)))
% 293.42/42.94 -> [9531] ~left_apart_point(A39_240_9, L40_240_9), ~left_apart_point(A39_240_9, reverse_line(L40_240_9))
% 293.42/42.94
% 293.42/42.94 [9531] CLOSURE : ~left_apart_point(A39_240_9, L40_240_9)
% 293.42/42.94
% 293.42/42.94 [9349] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [9414] ((unequally_directed_lines(skolem_N7979, M38_130_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_130_8))) => (left_convergent_lines(skolem_N7979, M38_130_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_130_8))))
% 293.42/42.94
% 293.42/42.94 [9414] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_130_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_130_8))) => (left_convergent_lines(skolem_N7979, M38_130_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_130_8))))
% 293.42/42.94 -> [9415] ~(unequally_directed_lines(skolem_N7979, M38_130_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_130_8)))
% 293.42/42.94 -> [9416] (left_convergent_lines(skolem_N7979, M38_130_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_130_8)))
% 293.42/42.94
% 293.42/42.94 [9415] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_130_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_130_8)))
% 293.42/42.94 -> [9439] ~unequally_directed_lines(skolem_N7979, M38_130_8)
% 293.42/42.94 -> [9440] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_130_8))
% 293.42/42.94
% 293.42/42.94 [9440] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_130_8))
% 293.42/42.94
% 293.42/42.94 [9439] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_130_8)
% 293.42/42.94
% 293.42/42.94 [9416] BETA_OR : (left_convergent_lines(skolem_N7979, M38_130_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_130_8)))
% 293.42/42.94 -> [9419] left_convergent_lines(skolem_N7979, M38_130_8)
% 293.42/42.94 -> [9420] left_convergent_lines(skolem_N7979, reverse_line(M38_130_8))
% 293.42/42.94
% 293.42/42.94 [9420] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [9528] ~(left_apart_point(A39_239_9, L40_239_9) | left_apart_point(A39_239_9, reverse_line(L40_239_9)))
% 293.42/42.94
% 293.42/42.94 [9528] ALPHA_NOT_OR : ~(left_apart_point(A39_239_9, L40_239_9) | left_apart_point(A39_239_9, reverse_line(L40_239_9)))
% 293.42/42.94 -> [9529] ~left_apart_point(A39_239_9, L40_239_9), ~left_apart_point(A39_239_9, reverse_line(L40_239_9))
% 293.42/42.94
% 293.42/42.94 [9529] CLOSURE : ~left_apart_point(A39_239_9, L40_239_9)
% 293.42/42.94
% 293.42/42.94 [9419] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [9577] ~(left_apart_point(A39_242_9, L40_242_9) | left_apart_point(A39_242_9, reverse_line(L40_242_9)))
% 293.42/42.94
% 293.42/42.94 [9577] ALPHA_NOT_OR : ~(left_apart_point(A39_242_9, L40_242_9) | left_apart_point(A39_242_9, reverse_line(L40_242_9)))
% 293.42/42.94 -> [9578] ~left_apart_point(A39_242_9, L40_242_9), ~left_apart_point(A39_242_9, reverse_line(L40_242_9))
% 293.42/42.94
% 293.42/42.94 [9578] CLOSURE : ~left_apart_point(A39_242_9, L40_242_9)
% 293.42/42.94
% 293.42/42.94 [9327] 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))))
% 293.42/42.94 -> [9329] unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.94 -> [9330] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.94
% 293.42/42.94 [9329] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.94
% 293.42/42.94 [9330] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [11930] ((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))))
% 293.42/42.94
% 293.42/42.94 [11930] 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))))
% 293.42/42.94 -> [11933] ~(unequally_directed_lines(skolem_N7979, M38_251_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_251_8)))
% 293.42/42.94 -> [11934] (left_convergent_lines(skolem_N7979, M38_251_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_251_8)))
% 293.42/42.94
% 293.42/42.94 [11933] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_251_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_251_8)))
% 293.42/42.94 -> [11985] ~unequally_directed_lines(skolem_N7979, M38_251_8)
% 293.42/42.94 -> [11986] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_251_8))
% 293.42/42.94
% 293.42/42.94 [11985] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_251_8)
% 293.42/42.94
% 293.42/42.94 [11986] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_251_8))
% 293.42/42.94
% 293.42/42.94 [11934] BETA_OR : (left_convergent_lines(skolem_N7979, M38_251_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_251_8)))
% 293.42/42.94 -> [11935] left_convergent_lines(skolem_N7979, M38_251_8)
% 293.42/42.94 -> [11936] left_convergent_lines(skolem_N7979, reverse_line(M38_251_8))
% 293.42/42.94
% 293.42/42.94 [11936] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [12270] ~(left_apart_point(A39_507_9, L40_507_9) | left_apart_point(A39_507_9, reverse_line(L40_507_9)))
% 293.42/42.94
% 293.42/42.94 [12270] ALPHA_NOT_OR : ~(left_apart_point(A39_507_9, L40_507_9) | left_apart_point(A39_507_9, reverse_line(L40_507_9)))
% 293.42/42.94 -> [12272] ~left_apart_point(A39_507_9, L40_507_9), ~left_apart_point(A39_507_9, reverse_line(L40_507_9))
% 293.42/42.94
% 293.42/42.94 [12272] CLOSURE : ~left_apart_point(A39_507_9, L40_507_9)
% 293.42/42.94
% 293.42/42.94 [11935] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [12379] ~(left_apart_point(A39_515_9, L40_515_9) | left_apart_point(A39_515_9, reverse_line(L40_515_9)))
% 293.42/42.94
% 293.42/42.94 [12379] ALPHA_NOT_OR : ~(left_apart_point(A39_515_9, L40_515_9) | left_apart_point(A39_515_9, reverse_line(L40_515_9)))
% 293.42/42.94 -> [12382] ~left_apart_point(A39_515_9, L40_515_9), ~left_apart_point(A39_515_9, reverse_line(L40_515_9))
% 293.42/42.94
% 293.42/42.94 [12382] CLOSURE : ~left_apart_point(A39_515_9, L40_515_9)
% 293.42/42.94
% 293.42/42.94 [993] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.94 -> [1052] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.94
% 293.42/42.94 [1052] 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))))
% 293.42/42.94 -> [1780] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.94
% 293.42/42.94 [1780] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.94 -> [1781] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.94 -> [1782] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.94
% 293.42/42.94 [1781] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.94
% 293.42/42.94 [1782] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.94 -> [5528] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.94 -> [5529] distinct_points(skolem_C8282, skolem_B8181)
% 293.42/42.94
% 293.42/42.94 [5528] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.94
% 293.42/42.94 [5529] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.94 -> [7158] ~distinct_lines(N27_237_3, N27_237_3)
% 293.42/42.94
% 293.42/42.94 [7158] 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))))
% 293.42/42.94 -> [7320] (distinct_lines(N27_237_3, N27_237_3) => (distinct_lines(N27_237_3, N27_237_3) | distinct_lines(N27_237_3, N27_237_3)))
% 293.42/42.94
% 293.42/42.94 [7320] BETA_IMPLY : (distinct_lines(N27_237_3, N27_237_3) => (distinct_lines(N27_237_3, N27_237_3) | distinct_lines(N27_237_3, N27_237_3)))
% 293.42/42.94 -> [7323] ~distinct_lines(N27_237_3, N27_237_3)
% 293.42/42.94 -> [7324] (distinct_lines(N27_237_3, N27_237_3) | distinct_lines(N27_237_3, N27_237_3))
% 293.42/42.94
% 293.42/42.94 [7324] BETA_OR : (distinct_lines(N27_237_3, N27_237_3) | distinct_lines(N27_237_3, N27_237_3))
% 293.42/42.94 -> [7327] distinct_lines(N27_237_3, N27_237_3)
% 293.42/42.94 -> [7328] distinct_lines(N27_237_3, N27_237_3)
% 293.42/42.94
% 293.42/42.94 [7328] CLOSURE : distinct_lines(N27_237_3, N27_237_3)
% 293.42/42.94
% 293.42/42.94 [7327] CLOSURE : distinct_lines(N27_237_3, N27_237_3)
% 293.42/42.94
% 293.42/42.94 [7323] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.94 -> [7554] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.94
% 293.42/42.94 [7554] 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))))
% 293.42/42.94 -> [7926] (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)))
% 293.42/42.94
% 293.42/42.94 [7926] 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)))
% 293.42/42.94 -> [7929] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94 -> [7930] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [7929] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [7930] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.94 -> [11833] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.94 -> [11834] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.94
% 293.42/42.94 [11833] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.94
% 293.42/42.94 [11834] 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))))))
% 293.42/42.94 -> [20287] ((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)))))
% 293.42/42.94
% 293.42/42.94 [20287] 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)))))
% 293.42/42.94 -> [20290] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.94 -> [20291] ((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))))
% 293.42/42.94
% 293.42/42.94 [20291] 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))))
% 293.42/42.94 -> [23364] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [23365] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.94
% 293.42/42.94 [23364] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [23374] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [23374] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.94
% 293.42/42.94 [23365] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [23370] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [23370] 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)))))
% 293.42/42.94 -> [23389] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.94
% 293.42/42.94 [23389] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.94 -> [23392] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.94 -> [23393] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.94
% 293.42/42.94 [23392] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.94 -> [23404] ~line(skolem_M7878)
% 293.42/42.94 -> [23405] ~line(skolem_M7878)
% 293.42/42.94
% 293.42/42.94 [23405] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [23428] ((unequally_directed_lines(skolem_N7979, M38_962_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_962_8))) => (left_convergent_lines(skolem_N7979, M38_962_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_962_8))))
% 293.42/42.94
% 293.42/42.94 [23428] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_962_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_962_8))) => (left_convergent_lines(skolem_N7979, M38_962_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_962_8))))
% 293.42/42.94 -> [23430] ~(unequally_directed_lines(skolem_N7979, M38_962_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_962_8)))
% 293.42/42.94 -> [23431] (left_convergent_lines(skolem_N7979, M38_962_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_962_8)))
% 293.42/42.94
% 293.42/42.94 [23430] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_962_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_962_8)))
% 293.42/42.94 -> [23468] ~unequally_directed_lines(skolem_N7979, M38_962_8)
% 293.42/42.94 -> [23469] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_962_8))
% 293.42/42.94
% 293.42/42.94 [23469] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_962_8))
% 293.42/42.94
% 293.42/42.94 [23468] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_962_8)
% 293.42/42.94
% 293.42/42.94 [23431] BETA_OR : (left_convergent_lines(skolem_N7979, M38_962_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_962_8)))
% 293.42/42.94 -> [23436] left_convergent_lines(skolem_N7979, M38_962_8)
% 293.42/42.94 -> [23437] left_convergent_lines(skolem_N7979, reverse_line(M38_962_8))
% 293.42/42.94
% 293.42/42.94 [23437] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [23512] ~(left_apart_point(A39_1890_9, L40_1890_9) | left_apart_point(A39_1890_9, reverse_line(L40_1890_9)))
% 293.42/42.94
% 293.42/42.94 [23512] ALPHA_NOT_OR : ~(left_apart_point(A39_1890_9, L40_1890_9) | left_apart_point(A39_1890_9, reverse_line(L40_1890_9)))
% 293.42/42.94 -> [23513] ~left_apart_point(A39_1890_9, L40_1890_9), ~left_apart_point(A39_1890_9, reverse_line(L40_1890_9))
% 293.42/42.94
% 293.42/42.94 [23513] CLOSURE : ~left_apart_point(A39_1890_9, L40_1890_9)
% 293.42/42.94
% 293.42/42.94 [23436] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [23526] ~(left_apart_point(A39_1894_9, L40_1894_9) | left_apart_point(A39_1894_9, reverse_line(L40_1894_9)))
% 293.42/42.94
% 293.42/42.94 [23526] ALPHA_NOT_OR : ~(left_apart_point(A39_1894_9, L40_1894_9) | left_apart_point(A39_1894_9, reverse_line(L40_1894_9)))
% 293.42/42.94 -> [23528] ~left_apart_point(A39_1894_9, L40_1894_9), ~left_apart_point(A39_1894_9, reverse_line(L40_1894_9))
% 293.42/42.94
% 293.42/42.94 [23528] CLOSURE : ~left_apart_point(A39_1894_9, L40_1894_9)
% 293.42/42.94
% 293.42/42.94 [23404] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [23452] ((unequally_directed_lines(skolem_N7979, M38_965_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_965_8))) => (left_convergent_lines(skolem_N7979, M38_965_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_965_8))))
% 293.42/42.94
% 293.42/42.94 [23452] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_965_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_965_8))) => (left_convergent_lines(skolem_N7979, M38_965_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_965_8))))
% 293.42/42.94 -> [23456] ~(unequally_directed_lines(skolem_N7979, M38_965_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_965_8)))
% 293.42/42.94 -> [23457] (left_convergent_lines(skolem_N7979, M38_965_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_965_8)))
% 293.42/42.94
% 293.42/42.94 [23456] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_965_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_965_8)))
% 293.42/42.94 -> [23482] ~unequally_directed_lines(skolem_N7979, M38_965_8)
% 293.42/42.94 -> [23483] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_965_8))
% 293.42/42.94
% 293.42/42.94 [23483] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_965_8))
% 293.42/42.94
% 293.42/42.94 [23482] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_965_8)
% 293.42/42.94
% 293.42/42.94 [23457] BETA_OR : (left_convergent_lines(skolem_N7979, M38_965_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_965_8)))
% 293.42/42.94 -> [23464] left_convergent_lines(skolem_N7979, M38_965_8)
% 293.42/42.94 -> [23465] left_convergent_lines(skolem_N7979, reverse_line(M38_965_8))
% 293.42/42.94
% 293.42/42.94 [23465] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [23516] ~(left_apart_point(A39_1892_9, L40_1892_9) | left_apart_point(A39_1892_9, reverse_line(L40_1892_9)))
% 293.42/42.94
% 293.42/42.94 [23516] ALPHA_NOT_OR : ~(left_apart_point(A39_1892_9, L40_1892_9) | left_apart_point(A39_1892_9, reverse_line(L40_1892_9)))
% 293.42/42.94 -> [23519] ~left_apart_point(A39_1892_9, L40_1892_9), ~left_apart_point(A39_1892_9, reverse_line(L40_1892_9))
% 293.42/42.94
% 293.42/42.94 [23519] CLOSURE : ~left_apart_point(A39_1892_9, L40_1892_9)
% 293.42/42.94
% 293.42/42.94 [23464] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [23558] ~(left_apart_point(A39_1898_9, L40_1898_9) | left_apart_point(A39_1898_9, reverse_line(L40_1898_9)))
% 293.42/42.94
% 293.42/42.94 [23558] ALPHA_NOT_OR : ~(left_apart_point(A39_1898_9, L40_1898_9) | left_apart_point(A39_1898_9, reverse_line(L40_1898_9)))
% 293.42/42.94 -> [23565] ~left_apart_point(A39_1898_9, L40_1898_9), ~left_apart_point(A39_1898_9, reverse_line(L40_1898_9))
% 293.42/42.94
% 293.42/42.94 [23565] CLOSURE : ~left_apart_point(A39_1898_9, L40_1898_9)
% 293.42/42.94
% 293.42/42.94 [23393] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [23394] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.94 -> [23395] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [23394] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.94
% 293.42/42.94 [23395] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [23441] ((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))))
% 293.42/42.94
% 293.42/42.94 [23441] 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))))
% 293.42/42.94 -> [23443] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.94 -> [23444] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.94
% 293.42/42.94 [23443] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.94 -> [23474] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.94 -> [23475] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [23474] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.94
% 293.42/42.94 [23475] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [23444] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.94 -> [23447] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.94 -> [23448] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [23448] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [23636] ~(left_apart_point(A39_1906_9, L40_1906_9) | left_apart_point(A39_1906_9, reverse_line(L40_1906_9)))
% 293.42/42.94
% 293.42/42.94 [23636] ALPHA_NOT_OR : ~(left_apart_point(A39_1906_9, L40_1906_9) | left_apart_point(A39_1906_9, reverse_line(L40_1906_9)))
% 293.42/42.94 -> [23639] ~left_apart_point(A39_1906_9, L40_1906_9), ~left_apart_point(A39_1906_9, reverse_line(L40_1906_9))
% 293.42/42.94
% 293.42/42.94 [23639] CLOSURE : ~left_apart_point(A39_1906_9, L40_1906_9)
% 293.42/42.94
% 293.42/42.94 [23447] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [24216] ~(left_apart_point(A39_1993_9, L40_1993_9) | left_apart_point(A39_1993_9, reverse_line(L40_1993_9)))
% 293.42/42.94
% 293.42/42.94 [24216] ALPHA_NOT_OR : ~(left_apart_point(A39_1993_9, L40_1993_9) | left_apart_point(A39_1993_9, reverse_line(L40_1993_9)))
% 293.42/42.94 -> [24218] ~left_apart_point(A39_1993_9, L40_1993_9), ~left_apart_point(A39_1993_9, reverse_line(L40_1993_9))
% 293.42/42.94
% 293.42/42.94 [24218] CLOSURE : ~left_apart_point(A39_1993_9, L40_1993_9)
% 293.42/42.94
% 293.42/42.94 [20290] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.94 -> [20366] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.94 -> [20367] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [20367] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [20366] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.94
% 293.42/42.94 [395] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878)))
% 293.42/42.94 -> [750] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), skolem_M7878)
% 293.42/42.94 -> [751] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)), reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [750] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.94 -> [1198] ~distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.94
% 293.42/42.94 [1198] 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))))
% 293.42/42.94 -> [2802] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.94
% 293.42/42.94 [2802] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.94 -> [2803] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.94 -> [2804] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.94
% 293.42/42.94 [2803] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.94
% 293.42/42.94 [2804] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.94 -> [3088] distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.94 -> [3089] distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.94
% 293.42/42.94 [3089] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.94
% 293.42/42.94 [3088] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.94 -> [3152] ~distinct_lines(N27_40_3, N27_40_3)
% 293.42/42.94
% 293.42/42.94 [3152] 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))))
% 293.42/42.94 -> [3169] (distinct_lines(N27_40_3, N27_40_3) => (distinct_lines(N27_40_3, N27_40_3) | distinct_lines(N27_40_3, N27_40_3)))
% 293.42/42.94
% 293.42/42.94 [3169] 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)))
% 293.42/42.94 -> [3170] ~distinct_lines(N27_40_3, N27_40_3)
% 293.42/42.94 -> [3171] (distinct_lines(N27_40_3, N27_40_3) | distinct_lines(N27_40_3, N27_40_3))
% 293.42/42.94
% 293.42/42.94 [3171] BETA_OR : (distinct_lines(N27_40_3, N27_40_3) | distinct_lines(N27_40_3, N27_40_3))
% 293.42/42.94 -> [3172] distinct_lines(N27_40_3, N27_40_3)
% 293.42/42.94 -> [3173] distinct_lines(N27_40_3, N27_40_3)
% 293.42/42.94
% 293.42/42.94 [3172] CLOSURE : distinct_lines(N27_40_3, N27_40_3)
% 293.42/42.94
% 293.42/42.94 [3173] CLOSURE : distinct_lines(N27_40_3, N27_40_3)
% 293.42/42.94
% 293.42/42.94 [3170] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.94 -> [3195] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.94
% 293.42/42.94 [3195] 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))))
% 293.42/42.94 -> [3499] (unequally_directed_lines(skolem_M7878, skolem_N7979) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_N7979, skolem_M7878)))
% 293.42/42.94
% 293.42/42.94 [3499] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, skolem_N7979) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_N7979, skolem_M7878)))
% 293.42/42.94 -> [3500] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.94 -> [3501] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_N7979, skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [3500] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.94
% 293.42/42.94 [3501] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_N7979, skolem_M7878))
% 293.42/42.94 -> [5464] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.94 -> [5465] unequally_directed_lines(skolem_N7979, skolem_M7878)
% 293.42/42.94
% 293.42/42.94 [5464] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.94
% 293.42/42.94 [5465] 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))))))
% 293.42/42.94 -> [7172] ((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)))))
% 293.42/42.94
% 293.42/42.94 [7172] 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)))))
% 293.42/42.94 -> [7175] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.94 -> [7176] ((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))))
% 293.42/42.94
% 293.42/42.94 [7175] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.94 -> [7203] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.94 -> [7204] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [7204] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [7203] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.94
% 293.42/42.94 [7176] 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))))
% 293.42/42.94 -> [14411] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [14412] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.94
% 293.42/42.94 [14411] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [14418] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [14418] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.94
% 293.42/42.94 [14412] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [14416] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [14416] 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)))))
% 293.42/42.94 -> [14466] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.94
% 293.42/42.94 [14466] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.94 -> [14469] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.94 -> [14470] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.94
% 293.42/42.94 [14470] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [14476] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.94 -> [14477] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [14476] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.94
% 293.42/42.94 [14477] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [14578] ((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))))
% 293.42/42.94
% 293.42/42.94 [14578] 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))))
% 293.42/42.94 -> [14584] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.94 -> [14585] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.94
% 293.42/42.94 [14585] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.94 -> [14586] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.94 -> [14587] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [14587] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [14676] ~(left_apart_point(A39_770_9, L40_770_9) | left_apart_point(A39_770_9, reverse_line(L40_770_9)))
% 293.42/42.94
% 293.42/42.94 [14676] ALPHA_NOT_OR : ~(left_apart_point(A39_770_9, L40_770_9) | left_apart_point(A39_770_9, reverse_line(L40_770_9)))
% 293.42/42.94 -> [14677] ~left_apart_point(A39_770_9, L40_770_9), ~left_apart_point(A39_770_9, reverse_line(L40_770_9))
% 293.42/42.94
% 293.42/42.94 [14677] CLOSURE : ~left_apart_point(A39_770_9, L40_770_9)
% 293.42/42.94
% 293.42/42.94 [14586] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [14713] ~(left_apart_point(A39_777_9, L40_777_9) | left_apart_point(A39_777_9, reverse_line(L40_777_9)))
% 293.42/42.94
% 293.42/42.94 [14713] ALPHA_NOT_OR : ~(left_apart_point(A39_777_9, L40_777_9) | left_apart_point(A39_777_9, reverse_line(L40_777_9)))
% 293.42/42.94 -> [14714] ~left_apart_point(A39_777_9, L40_777_9), ~left_apart_point(A39_777_9, reverse_line(L40_777_9))
% 293.42/42.94
% 293.42/42.94 [14714] CLOSURE : ~left_apart_point(A39_777_9, L40_777_9)
% 293.42/42.94
% 293.42/42.94 [14584] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.94 -> [14609] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.94 -> [14610] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [14610] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [14609] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.94
% 293.42/42.94 [14469] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.94 -> [14507] ~line(skolem_M7878)
% 293.42/42.94 -> [14508] ~line(skolem_M7878)
% 293.42/42.94
% 293.42/42.94 [14508] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [14564] ((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))))
% 293.42/42.94
% 293.42/42.94 [14564] 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))))
% 293.42/42.94 -> [14568] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.94 -> [14569] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.94
% 293.42/42.94 [14569] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.94 -> [14572] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.94 -> [14573] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [14573] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [14668] ~(left_apart_point(A39_768_9, L40_768_9) | left_apart_point(A39_768_9, reverse_line(L40_768_9)))
% 293.42/42.94
% 293.42/42.94 [14668] ALPHA_NOT_OR : ~(left_apart_point(A39_768_9, L40_768_9) | left_apart_point(A39_768_9, reverse_line(L40_768_9)))
% 293.42/42.94 -> [14669] ~left_apart_point(A39_768_9, L40_768_9), ~left_apart_point(A39_768_9, reverse_line(L40_768_9))
% 293.42/42.94
% 293.42/42.94 [14669] CLOSURE : ~left_apart_point(A39_768_9, L40_768_9)
% 293.42/42.94
% 293.42/42.94 [14572] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [14701] ~(left_apart_point(A39_773_9, L40_773_9) | left_apart_point(A39_773_9, reverse_line(L40_773_9)))
% 293.42/42.94
% 293.42/42.94 [14701] ALPHA_NOT_OR : ~(left_apart_point(A39_773_9, L40_773_9) | left_apart_point(A39_773_9, reverse_line(L40_773_9)))
% 293.42/42.94 -> [14704] ~left_apart_point(A39_773_9, L40_773_9), ~left_apart_point(A39_773_9, reverse_line(L40_773_9))
% 293.42/42.94
% 293.42/42.94 [14704] CLOSURE : ~left_apart_point(A39_773_9, L40_773_9)
% 293.42/42.94
% 293.42/42.94 [14568] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.94 -> [14600] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.94 -> [14601] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [14600] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.94
% 293.42/42.94 [14601] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [14507] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [14849] ((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))))
% 293.42/42.94
% 293.42/42.94 [14849] 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))))
% 293.42/42.94 -> [14852] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.94 -> [14853] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.94
% 293.42/42.94 [14853] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.94 -> [14855] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.94 -> [14856] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [14856] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [15113] ~(left_apart_point(A39_840_9, L40_840_9) | left_apart_point(A39_840_9, reverse_line(L40_840_9)))
% 293.42/42.94
% 293.42/42.94 [15113] ALPHA_NOT_OR : ~(left_apart_point(A39_840_9, L40_840_9) | left_apart_point(A39_840_9, reverse_line(L40_840_9)))
% 293.42/42.94 -> [15116] ~left_apart_point(A39_840_9, L40_840_9), ~left_apart_point(A39_840_9, reverse_line(L40_840_9))
% 293.42/42.94
% 293.42/42.94 [15116] CLOSURE : ~left_apart_point(A39_840_9, L40_840_9)
% 293.42/42.94
% 293.42/42.94 [14855] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [15208] ~(left_apart_point(A39_853_9, L40_853_9) | left_apart_point(A39_853_9, reverse_line(L40_853_9)))
% 293.42/42.94
% 293.42/42.94 [15208] ALPHA_NOT_OR : ~(left_apart_point(A39_853_9, L40_853_9) | left_apart_point(A39_853_9, reverse_line(L40_853_9)))
% 293.42/42.94 -> [15212] ~left_apart_point(A39_853_9, L40_853_9), ~left_apart_point(A39_853_9, reverse_line(L40_853_9))
% 293.42/42.94
% 293.42/42.94 [15212] CLOSURE : ~left_apart_point(A39_853_9, L40_853_9)
% 293.42/42.94
% 293.42/42.94 [14852] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.94 -> [14929] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.94 -> [14930] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [14930] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [14929] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.94
% 293.42/42.94 [751] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.94 -> [1161] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.94
% 293.42/42.94 [1161] 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))))
% 293.42/42.94 -> [2358] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.94
% 293.42/42.94 [2358] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.94 -> [2359] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.94 -> [2360] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.94
% 293.42/42.94 [2359] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.94
% 293.42/42.94 [2360] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.94 -> [2461] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.94 -> [2462] distinct_points(skolem_C8282, skolem_B8181)
% 293.42/42.94
% 293.42/42.94 [2461] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.94
% 293.42/42.94 [2462] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.94 -> [2481] ~distinct_lines(N27_25_3, N27_25_3)
% 293.42/42.94
% 293.42/42.94 [2481] 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))))
% 293.42/42.94 -> [2506] (distinct_lines(N27_25_3, N27_25_3) => (distinct_lines(N27_25_3, N27_25_3) | distinct_lines(N27_25_3, N27_25_3)))
% 293.42/42.94
% 293.42/42.94 [2506] 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)))
% 293.42/42.94 -> [2507] ~distinct_lines(N27_25_3, N27_25_3)
% 293.42/42.94 -> [2508] (distinct_lines(N27_25_3, N27_25_3) | distinct_lines(N27_25_3, N27_25_3))
% 293.42/42.94
% 293.42/42.94 [2508] BETA_OR : (distinct_lines(N27_25_3, N27_25_3) | distinct_lines(N27_25_3, N27_25_3))
% 293.42/42.94 -> [2509] distinct_lines(N27_25_3, N27_25_3)
% 293.42/42.94 -> [2510] distinct_lines(N27_25_3, N27_25_3)
% 293.42/42.94
% 293.42/42.94 [2510] CLOSURE : distinct_lines(N27_25_3, N27_25_3)
% 293.42/42.94
% 293.42/42.94 [2509] CLOSURE : distinct_lines(N27_25_3, N27_25_3)
% 293.42/42.94
% 293.42/42.94 [2507] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.94 -> [2537] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [2537] 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))))
% 293.42/42.94 -> [2553] (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))))
% 293.42/42.94
% 293.42/42.94 [2553] 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))))
% 293.42/42.94 -> [2554] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94 -> [2555] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.94
% 293.42/42.94 [2554] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [2555] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.94 -> [6052] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94 -> [6053] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [6053] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [6052] 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))))))
% 293.42/42.94 -> [8657] ((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)))))
% 293.42/42.94
% 293.42/42.94 [8657] 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)))))
% 293.42/42.94 -> [8661] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.94 -> [8662] ((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))))
% 293.42/42.94
% 293.42/42.94 [8661] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.94 -> [8686] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.94 -> [8687] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [8687] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [8686] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.94
% 293.42/42.94 [8662] 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))))
% 293.42/42.94 -> [18756] (unequally_directed_lines(skolem_M7878, N34_83_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_83_6)))
% 293.42/42.94 -> [18757] (unequally_directed_lines(skolem_N7979, N34_83_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_83_6)))
% 293.42/42.94
% 293.42/42.94 [18756] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_83_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_83_6)))
% 293.42/42.94 -> [18780] unequally_directed_lines(skolem_M7878, N34_83_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_83_6))
% 293.42/42.94
% 293.42/42.94 [18780] 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)))))
% 293.42/42.94 -> [18943] ((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)))))
% 293.42/42.94
% 293.42/42.94 [18943] 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)))))
% 293.42/42.94 -> [18946] ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.94 -> [18947] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))
% 293.42/42.94
% 293.42/42.94 [18946] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.94 -> [18995] ~line(skolem_L7777)
% 293.42/42.94 -> [18996] ~line(line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.94
% 293.42/42.94 [18996] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [20067] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.94
% 293.42/42.94 [20067] 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))))
% 293.42/42.94 -> [20069] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [20070] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94
% 293.42/42.94 [20070] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [20072] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94 -> [20073] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [20073] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [20228] ~(left_apart_point(A39_1444_9, L40_1444_9) | left_apart_point(A39_1444_9, reverse_line(L40_1444_9)))
% 293.42/42.94
% 293.42/42.94 [20228] ALPHA_NOT_OR : ~(left_apart_point(A39_1444_9, L40_1444_9) | left_apart_point(A39_1444_9, reverse_line(L40_1444_9)))
% 293.42/42.94 -> [20230] ~left_apart_point(A39_1444_9, L40_1444_9), ~left_apart_point(A39_1444_9, reverse_line(L40_1444_9))
% 293.42/42.94
% 293.42/42.94 [20230] CLOSURE : ~left_apart_point(A39_1444_9, L40_1444_9)
% 293.42/42.94
% 293.42/42.94 [20072] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [20254] ~(left_apart_point(A39_1447_9, L40_1447_9) | left_apart_point(A39_1447_9, reverse_line(L40_1447_9)))
% 293.42/42.94
% 293.42/42.94 [20254] ALPHA_NOT_OR : ~(left_apart_point(A39_1447_9, L40_1447_9) | left_apart_point(A39_1447_9, reverse_line(L40_1447_9)))
% 293.42/42.94 -> [20256] ~left_apart_point(A39_1447_9, L40_1447_9), ~left_apart_point(A39_1447_9, reverse_line(L40_1447_9))
% 293.42/42.94
% 293.42/42.94 [20256] CLOSURE : ~left_apart_point(A39_1447_9, L40_1447_9)
% 293.42/42.94
% 293.42/42.94 [20069] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [20094] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94 -> [20095] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [20095] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [20094] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94
% 293.42/42.94 [18995] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [20109] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.94
% 293.42/42.94 [20109] 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))))
% 293.42/42.94 -> [20111] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [20112] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94
% 293.42/42.94 [20112] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [20116] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94 -> [20117] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [20117] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [20326] ~(left_apart_point(A39_1464_9, L40_1464_9) | left_apart_point(A39_1464_9, reverse_line(L40_1464_9)))
% 293.42/42.94
% 293.42/42.94 [20326] ALPHA_NOT_OR : ~(left_apart_point(A39_1464_9, L40_1464_9) | left_apart_point(A39_1464_9, reverse_line(L40_1464_9)))
% 293.42/42.94 -> [20328] ~left_apart_point(A39_1464_9, L40_1464_9), ~left_apart_point(A39_1464_9, reverse_line(L40_1464_9))
% 293.42/42.94
% 293.42/42.94 [20328] CLOSURE : ~left_apart_point(A39_1464_9, L40_1464_9)
% 293.42/42.94
% 293.42/42.94 [20116] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [20370] ~(left_apart_point(A39_1473_9, L40_1473_9) | left_apart_point(A39_1473_9, reverse_line(L40_1473_9)))
% 293.42/42.94
% 293.42/42.94 [20370] ALPHA_NOT_OR : ~(left_apart_point(A39_1473_9, L40_1473_9) | left_apart_point(A39_1473_9, reverse_line(L40_1473_9)))
% 293.42/42.94 -> [20373] ~left_apart_point(A39_1473_9, L40_1473_9), ~left_apart_point(A39_1473_9, reverse_line(L40_1473_9))
% 293.42/42.94
% 293.42/42.94 [20373] CLOSURE : ~left_apart_point(A39_1473_9, L40_1473_9)
% 293.42/42.94
% 293.42/42.94 [20111] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [20175] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94 -> [20176] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [20176] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [20175] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94
% 293.42/42.94 [18947] 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))))
% 293.42/42.94 -> [18954] unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.94 -> [18955] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.94
% 293.42/42.94 [18954] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.94
% 293.42/42.94 [18955] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [21385] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.94
% 293.42/42.94 [21385] 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))))
% 293.42/42.94 -> [21387] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [21388] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94
% 293.42/42.94 [21388] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [21856] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94 -> [21857] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [21857] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [21871] ~(left_apart_point(A39_1660_9, L40_1660_9) | left_apart_point(A39_1660_9, reverse_line(L40_1660_9)))
% 293.42/42.94
% 293.42/42.94 [21871] ALPHA_NOT_OR : ~(left_apart_point(A39_1660_9, L40_1660_9) | left_apart_point(A39_1660_9, reverse_line(L40_1660_9)))
% 293.42/42.94 -> [21872] ~left_apart_point(A39_1660_9, L40_1660_9), ~left_apart_point(A39_1660_9, reverse_line(L40_1660_9))
% 293.42/42.94
% 293.42/42.94 [21872] CLOSURE : ~left_apart_point(A39_1660_9, L40_1660_9)
% 293.42/42.94
% 293.42/42.94 [21856] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [21874] ~(left_apart_point(A39_1662_9, L40_1662_9) | left_apart_point(A39_1662_9, reverse_line(L40_1662_9)))
% 293.42/42.94
% 293.42/42.94 [21874] ALPHA_NOT_OR : ~(left_apart_point(A39_1662_9, L40_1662_9) | left_apart_point(A39_1662_9, reverse_line(L40_1662_9)))
% 293.42/42.94 -> [21877] ~left_apart_point(A39_1662_9, L40_1662_9), ~left_apart_point(A39_1662_9, reverse_line(L40_1662_9))
% 293.42/42.94
% 293.42/42.94 [21877] CLOSURE : ~left_apart_point(A39_1662_9, L40_1662_9)
% 293.42/42.94
% 293.42/42.94 [21387] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [21885] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94 -> [21886] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [21886] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [21885] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94
% 293.42/42.94 [18757] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_83_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_83_6)))
% 293.42/42.94 -> [18762] unequally_directed_lines(skolem_N7979, N34_83_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_83_6))
% 293.42/42.94
% 293.42/42.94 [18762] 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)))))
% 293.42/42.94 -> [18892] ((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)))))
% 293.42/42.94
% 293.42/42.94 [18892] 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)))))
% 293.42/42.94 -> [18893] ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.42/42.94 -> [18894] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 293.42/42.94
% 293.42/42.94 [18893] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.42/42.94 -> [18964] ~line(skolem_L7777)
% 293.42/42.94 -> [18965] ~line(line_connecting(skolem_B8181, skolem_C8282))
% 293.42/42.94
% 293.42/42.94 [18964] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [20110] ((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))))
% 293.42/42.94
% 293.42/42.94 [20110] 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))))
% 293.42/42.94 -> [20114] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.94 -> [20115] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.94
% 293.42/42.94 [20115] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.94 -> [20118] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.94 -> [20119] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [20118] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [20336] ~(left_apart_point(A39_1466_9, L40_1466_9) | left_apart_point(A39_1466_9, reverse_line(L40_1466_9)))
% 293.42/42.94
% 293.42/42.94 [20336] ALPHA_NOT_OR : ~(left_apart_point(A39_1466_9, L40_1466_9) | left_apart_point(A39_1466_9, reverse_line(L40_1466_9)))
% 293.42/42.94 -> [20341] ~left_apart_point(A39_1466_9, L40_1466_9), ~left_apart_point(A39_1466_9, reverse_line(L40_1466_9))
% 293.42/42.94
% 293.42/42.94 [20341] CLOSURE : ~left_apart_point(A39_1466_9, L40_1466_9)
% 293.42/42.94
% 293.42/42.94 [20119] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [20351] ~(left_apart_point(A39_1469_9, L40_1469_9) | left_apart_point(A39_1469_9, reverse_line(L40_1469_9)))
% 293.42/42.94
% 293.42/42.94 [20351] ALPHA_NOT_OR : ~(left_apart_point(A39_1469_9, L40_1469_9) | left_apart_point(A39_1469_9, reverse_line(L40_1469_9)))
% 293.42/42.94 -> [20354] ~left_apart_point(A39_1469_9, L40_1469_9), ~left_apart_point(A39_1469_9, reverse_line(L40_1469_9))
% 293.42/42.94
% 293.42/42.94 [20354] CLOSURE : ~left_apart_point(A39_1469_9, L40_1469_9)
% 293.42/42.94
% 293.42/42.94 [20114] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.94 -> [20177] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.94 -> [20178] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [20178] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [20177] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.94
% 293.42/42.94 [18965] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [20149] ((unequally_directed_lines(skolem_N7979, M38_752_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_752_8))) => (left_convergent_lines(skolem_N7979, M38_752_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_752_8))))
% 293.42/42.94
% 293.42/42.94 [20149] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_752_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_752_8))) => (left_convergent_lines(skolem_N7979, M38_752_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_752_8))))
% 293.42/42.94 -> [20155] ~(unequally_directed_lines(skolem_N7979, M38_752_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_752_8)))
% 293.42/42.94 -> [20156] (left_convergent_lines(skolem_N7979, M38_752_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_752_8)))
% 293.42/42.94
% 293.42/42.94 [20156] BETA_OR : (left_convergent_lines(skolem_N7979, M38_752_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_752_8)))
% 293.42/42.94 -> [20165] left_convergent_lines(skolem_N7979, M38_752_8)
% 293.42/42.94 -> [20166] left_convergent_lines(skolem_N7979, reverse_line(M38_752_8))
% 293.42/42.94
% 293.42/42.94 [20166] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [20318] ~(left_apart_point(A39_1460_9, L40_1460_9) | left_apart_point(A39_1460_9, reverse_line(L40_1460_9)))
% 293.42/42.94
% 293.42/42.94 [20318] ALPHA_NOT_OR : ~(left_apart_point(A39_1460_9, L40_1460_9) | left_apart_point(A39_1460_9, reverse_line(L40_1460_9)))
% 293.42/42.94 -> [20320] ~left_apart_point(A39_1460_9, L40_1460_9), ~left_apart_point(A39_1460_9, reverse_line(L40_1460_9))
% 293.42/42.94
% 293.42/42.94 [20320] CLOSURE : ~left_apart_point(A39_1460_9, L40_1460_9)
% 293.42/42.94
% 293.42/42.94 [20165] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [20384] ~(left_apart_point(A39_1477_9, L40_1477_9) | left_apart_point(A39_1477_9, reverse_line(L40_1477_9)))
% 293.42/42.94
% 293.42/42.94 [20384] ALPHA_NOT_OR : ~(left_apart_point(A39_1477_9, L40_1477_9) | left_apart_point(A39_1477_9, reverse_line(L40_1477_9)))
% 293.42/42.94 -> [20385] ~left_apart_point(A39_1477_9, L40_1477_9), ~left_apart_point(A39_1477_9, reverse_line(L40_1477_9))
% 293.42/42.94
% 293.42/42.94 [20385] CLOSURE : ~left_apart_point(A39_1477_9, L40_1477_9)
% 293.42/42.94
% 293.42/42.94 [20155] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_752_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_752_8)))
% 293.42/42.94 -> [20212] ~unequally_directed_lines(skolem_N7979, M38_752_8)
% 293.42/42.94 -> [20213] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_752_8))
% 293.42/42.94
% 293.42/42.94 [20213] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_752_8))
% 293.42/42.94
% 293.42/42.94 [20212] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_752_8)
% 293.42/42.94
% 293.42/42.94 [18894] 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))))
% 293.42/42.94 -> [18899] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.42/42.94 -> [18900] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.42/42.94
% 293.42/42.94 [18899] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.42/42.94
% 293.42/42.94 [18900] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [24017] ((unequally_directed_lines(skolem_N7979, M38_1004_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1004_8))) => (left_convergent_lines(skolem_N7979, M38_1004_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1004_8))))
% 293.42/42.94
% 293.42/42.94 [24017] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1004_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1004_8))) => (left_convergent_lines(skolem_N7979, M38_1004_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1004_8))))
% 293.42/42.94 -> [24020] ~(unequally_directed_lines(skolem_N7979, M38_1004_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1004_8)))
% 293.42/42.94 -> [24021] (left_convergent_lines(skolem_N7979, M38_1004_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1004_8)))
% 293.42/42.94
% 293.42/42.94 [24020] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1004_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1004_8)))
% 293.42/42.94 -> [24042] ~unequally_directed_lines(skolem_N7979, M38_1004_8)
% 293.42/42.94 -> [24043] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1004_8))
% 293.42/42.94
% 293.42/42.94 [24043] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1004_8))
% 293.42/42.94
% 293.42/42.94 [24042] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1004_8)
% 293.42/42.94
% 293.42/42.94 [24021] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1004_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1004_8)))
% 293.42/42.94 -> [24026] left_convergent_lines(skolem_N7979, M38_1004_8)
% 293.42/42.94 -> [24027] left_convergent_lines(skolem_N7979, reverse_line(M38_1004_8))
% 293.42/42.94
% 293.42/42.94 [24026] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [24056] ~(left_apart_point(A39_1977_9, L40_1977_9) | left_apart_point(A39_1977_9, reverse_line(L40_1977_9)))
% 293.42/42.94
% 293.42/42.94 [24056] ALPHA_NOT_OR : ~(left_apart_point(A39_1977_9, L40_1977_9) | left_apart_point(A39_1977_9, reverse_line(L40_1977_9)))
% 293.42/42.94 -> [24058] ~left_apart_point(A39_1977_9, L40_1977_9), ~left_apart_point(A39_1977_9, reverse_line(L40_1977_9))
% 293.42/42.94
% 293.42/42.94 [24058] CLOSURE : ~left_apart_point(A39_1977_9, L40_1977_9)
% 293.42/42.94
% 293.42/42.94 [24027] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [24261] ~(left_apart_point(A39_2005_9, L40_2005_9) | left_apart_point(A39_2005_9, reverse_line(L40_2005_9)))
% 293.42/42.94
% 293.42/42.94 [24261] ALPHA_NOT_OR : ~(left_apart_point(A39_2005_9, L40_2005_9) | left_apart_point(A39_2005_9, reverse_line(L40_2005_9)))
% 293.42/42.94 -> [24264] ~left_apart_point(A39_2005_9, L40_2005_9), ~left_apart_point(A39_2005_9, reverse_line(L40_2005_9))
% 293.42/42.94
% 293.42/42.94 [24264] CLOSURE : ~left_apart_point(A39_2005_9, L40_2005_9)
% 293.42/42.94
% 293.42/42.94 [386] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.94 -> [539] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))
% 293.42/42.94 -> [540] ~~(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)))
% 293.42/42.94
% 293.42/42.94 [539] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.94 -> [628] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))
% 293.42/42.94 -> [629] ~~(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)))
% 293.42/42.94
% 293.42/42.94 [628] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.94 -> [863] ~distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.94
% 293.42/42.94 [863] 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))))
% 293.42/42.94 -> [923] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.94
% 293.42/42.94 [923] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.94 -> [924] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.94 -> [925] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.94
% 293.42/42.94 [924] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.94
% 293.42/42.94 [925] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.94 -> [3611] distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.94 -> [3612] distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.94
% 293.42/42.94 [3612] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.94
% 293.42/42.94 [3611] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.94 -> [3754] ~distinct_lines(N27_71_3, N27_71_3)
% 293.42/42.94
% 293.42/42.94 [3754] 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))))
% 293.42/42.94 -> [3760] (distinct_lines(N27_71_3, N27_71_3) => (distinct_lines(N27_71_3, N27_71_3) | distinct_lines(N27_71_3, N27_71_3)))
% 293.42/42.94
% 293.42/42.94 [3760] 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)))
% 293.42/42.94 -> [3763] ~distinct_lines(N27_71_3, N27_71_3)
% 293.42/42.94 -> [3764] (distinct_lines(N27_71_3, N27_71_3) | distinct_lines(N27_71_3, N27_71_3))
% 293.42/42.94
% 293.42/42.94 [3764] BETA_OR : (distinct_lines(N27_71_3, N27_71_3) | distinct_lines(N27_71_3, N27_71_3))
% 293.42/42.94 -> [3765] distinct_lines(N27_71_3, N27_71_3)
% 293.42/42.94 -> [3766] distinct_lines(N27_71_3, N27_71_3)
% 293.42/42.94
% 293.42/42.94 [3766] CLOSURE : distinct_lines(N27_71_3, N27_71_3)
% 293.42/42.94
% 293.42/42.94 [3765] CLOSURE : distinct_lines(N27_71_3, N27_71_3)
% 293.42/42.94
% 293.42/42.94 [3763] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.94 -> [3810] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.94
% 293.42/42.94 [3810] 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))))
% 293.42/42.94 -> [3838] (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)))
% 293.42/42.94
% 293.42/42.94 [3838] 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)))
% 293.42/42.94 -> [3839] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94 -> [3840] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [3839] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [3840] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.94 -> [7252] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.94 -> [7253] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.94
% 293.42/42.94 [7252] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.94
% 293.42/42.94 [7253] 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))))))
% 293.42/42.94 -> [9454] ((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)))))
% 293.42/42.94
% 293.42/42.94 [9454] 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)))))
% 293.42/42.94 -> [9455] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.94 -> [9456] ((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))))
% 293.42/42.94
% 293.42/42.94 [9455] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.94 -> [9482] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.94 -> [9483] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [9483] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [9482] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.94
% 293.42/42.94 [9456] 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))))
% 293.42/42.94 -> [20129] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [20130] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.94
% 293.42/42.94 [20129] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [20185] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [20185] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.94
% 293.42/42.94 [20130] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [20131] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [20131] 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)))))
% 293.42/42.94 -> [20372] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.94
% 293.42/42.94 [20372] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.94 -> [20375] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.94 -> [20376] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.94
% 293.42/42.94 [20376] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [20382] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.94 -> [20383] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [20382] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.94
% 293.42/42.94 [20383] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [20475] ((unequally_directed_lines(skolem_N7979, M38_768_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_768_8))) => (left_convergent_lines(skolem_N7979, M38_768_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_768_8))))
% 293.42/42.94
% 293.42/42.94 [20475] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_768_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_768_8))) => (left_convergent_lines(skolem_N7979, M38_768_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_768_8))))
% 293.42/42.94 -> [20478] ~(unequally_directed_lines(skolem_N7979, M38_768_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_768_8)))
% 293.42/42.94 -> [20479] (left_convergent_lines(skolem_N7979, M38_768_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_768_8)))
% 293.42/42.94
% 293.42/42.94 [20478] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_768_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_768_8)))
% 293.42/42.94 -> [20508] ~unequally_directed_lines(skolem_N7979, M38_768_8)
% 293.42/42.94 -> [20509] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_768_8))
% 293.42/42.94
% 293.42/42.94 [20509] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_768_8))
% 293.42/42.94
% 293.42/42.94 [20508] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_768_8)
% 293.42/42.94
% 293.42/42.94 [20479] BETA_OR : (left_convergent_lines(skolem_N7979, M38_768_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_768_8)))
% 293.42/42.94 -> [20482] left_convergent_lines(skolem_N7979, M38_768_8)
% 293.42/42.94 -> [20483] left_convergent_lines(skolem_N7979, reverse_line(M38_768_8))
% 293.42/42.94
% 293.42/42.94 [20482] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [20589] ~(left_apart_point(A39_1503_9, L40_1503_9) | left_apart_point(A39_1503_9, reverse_line(L40_1503_9)))
% 293.42/42.94
% 293.42/42.94 [20589] ALPHA_NOT_OR : ~(left_apart_point(A39_1503_9, L40_1503_9) | left_apart_point(A39_1503_9, reverse_line(L40_1503_9)))
% 293.42/42.94 -> [20591] ~left_apart_point(A39_1503_9, L40_1503_9), ~left_apart_point(A39_1503_9, reverse_line(L40_1503_9))
% 293.42/42.94
% 293.42/42.94 [20591] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.94 -> [21159] ~(left_convergent_lines(L41_194_10, M42_194_10) | left_convergent_lines(L41_194_10, reverse_line(M42_194_10)))
% 293.42/42.94
% 293.42/42.94 [21159] ALPHA_NOT_OR : ~(left_convergent_lines(L41_194_10, M42_194_10) | left_convergent_lines(L41_194_10, reverse_line(M42_194_10)))
% 293.42/42.94 -> [21162] ~left_convergent_lines(L41_194_10, M42_194_10), ~left_convergent_lines(L41_194_10, reverse_line(M42_194_10))
% 293.42/42.94
% 293.42/42.94 [21162] CLOSURE : ~left_convergent_lines(L41_194_10, M42_194_10)
% 293.42/42.94
% 293.42/42.94 [20483] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [21637] ~(left_apart_point(A39_1611_9, L40_1611_9) | left_apart_point(A39_1611_9, reverse_line(L40_1611_9)))
% 293.42/42.94
% 293.42/42.94 [21637] ALPHA_NOT_OR : ~(left_apart_point(A39_1611_9, L40_1611_9) | left_apart_point(A39_1611_9, reverse_line(L40_1611_9)))
% 293.42/42.94 -> [21638] ~left_apart_point(A39_1611_9, L40_1611_9), ~left_apart_point(A39_1611_9, reverse_line(L40_1611_9))
% 293.42/42.94
% 293.42/42.94 [21638] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.94 -> [22052] ~(left_convergent_lines(L41_215_10, M42_215_10) | left_convergent_lines(L41_215_10, reverse_line(M42_215_10)))
% 293.42/42.94
% 293.42/42.94 [22052] ALPHA_NOT_OR : ~(left_convergent_lines(L41_215_10, M42_215_10) | left_convergent_lines(L41_215_10, reverse_line(M42_215_10)))
% 293.42/42.94 -> [22053] ~left_convergent_lines(L41_215_10, M42_215_10), ~left_convergent_lines(L41_215_10, reverse_line(M42_215_10))
% 293.42/42.94
% 293.42/42.94 [22053] CLOSURE : ~left_convergent_lines(L41_215_10, M42_215_10)
% 293.42/42.94
% 293.42/42.94 [20375] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.94 -> [20406] ~line(skolem_M7878)
% 293.42/42.94 -> [20407] ~line(skolem_M7878)
% 293.42/42.94
% 293.42/42.94 [20407] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [20643] ((unequally_directed_lines(skolem_N7979, M38_777_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_777_8))) => (left_convergent_lines(skolem_N7979, M38_777_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_777_8))))
% 293.42/42.94
% 293.42/42.94 [20643] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_777_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_777_8))) => (left_convergent_lines(skolem_N7979, M38_777_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_777_8))))
% 293.42/42.94 -> [20644] ~(unequally_directed_lines(skolem_N7979, M38_777_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_777_8)))
% 293.42/42.94 -> [20645] (left_convergent_lines(skolem_N7979, M38_777_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_777_8)))
% 293.42/42.94
% 293.42/42.94 [20644] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_777_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_777_8)))
% 293.42/42.94 -> [20746] ~unequally_directed_lines(skolem_N7979, M38_777_8)
% 293.42/42.94 -> [20747] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_777_8))
% 293.42/42.94
% 293.42/42.94 [20747] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_777_8))
% 293.42/42.94
% 293.42/42.94 [20746] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_777_8)
% 293.42/42.94
% 293.42/42.94 [20645] BETA_OR : (left_convergent_lines(skolem_N7979, M38_777_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_777_8)))
% 293.42/42.94 -> [20646] left_convergent_lines(skolem_N7979, M38_777_8)
% 293.42/42.94 -> [20647] left_convergent_lines(skolem_N7979, reverse_line(M38_777_8))
% 293.42/42.94
% 293.42/42.94 [20647] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [21054] ~(left_apart_point(A39_1535_9, L40_1535_9) | left_apart_point(A39_1535_9, reverse_line(L40_1535_9)))
% 293.42/42.94
% 293.42/42.94 [21054] ALPHA_NOT_OR : ~(left_apart_point(A39_1535_9, L40_1535_9) | left_apart_point(A39_1535_9, reverse_line(L40_1535_9)))
% 293.42/42.94 -> [21056] ~left_apart_point(A39_1535_9, L40_1535_9), ~left_apart_point(A39_1535_9, reverse_line(L40_1535_9))
% 293.42/42.94
% 293.42/42.94 [21056] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.94 -> [21623] ~(left_convergent_lines(L41_203_10, M42_203_10) | left_convergent_lines(L41_203_10, reverse_line(M42_203_10)))
% 293.42/42.94
% 293.42/42.94 [21623] ALPHA_NOT_OR : ~(left_convergent_lines(L41_203_10, M42_203_10) | left_convergent_lines(L41_203_10, reverse_line(M42_203_10)))
% 293.42/42.94 -> [21625] ~left_convergent_lines(L41_203_10, M42_203_10), ~left_convergent_lines(L41_203_10, reverse_line(M42_203_10))
% 293.42/42.94
% 293.42/42.94 [21625] CLOSURE : ~left_convergent_lines(L41_203_10, M42_203_10)
% 293.42/42.94
% 293.42/42.94 [20646] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [21147] ~(left_apart_point(A39_1546_9, L40_1546_9) | left_apart_point(A39_1546_9, reverse_line(L40_1546_9)))
% 293.42/42.94
% 293.42/42.94 [21147] ALPHA_NOT_OR : ~(left_apart_point(A39_1546_9, L40_1546_9) | left_apart_point(A39_1546_9, reverse_line(L40_1546_9)))
% 293.42/42.94 -> [21148] ~left_apart_point(A39_1546_9, L40_1546_9), ~left_apart_point(A39_1546_9, reverse_line(L40_1546_9))
% 293.42/42.94
% 293.42/42.94 [21148] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.94 -> [21718] ~(left_convergent_lines(L41_206_10, M42_206_10) | left_convergent_lines(L41_206_10, reverse_line(M42_206_10)))
% 293.42/42.94
% 293.42/42.94 [21718] ALPHA_NOT_OR : ~(left_convergent_lines(L41_206_10, M42_206_10) | left_convergent_lines(L41_206_10, reverse_line(M42_206_10)))
% 293.42/42.94 -> [21722] ~left_convergent_lines(L41_206_10, M42_206_10), ~left_convergent_lines(L41_206_10, reverse_line(M42_206_10))
% 293.42/42.94
% 293.42/42.94 [21722] CLOSURE : ~left_convergent_lines(L41_206_10, M42_206_10)
% 293.42/42.94
% 293.42/42.94 [20406] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [21002] ((unequally_directed_lines(skolem_N7979, M38_797_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_797_8))) => (left_convergent_lines(skolem_N7979, M38_797_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_797_8))))
% 293.42/42.94
% 293.42/42.94 [21002] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_797_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_797_8))) => (left_convergent_lines(skolem_N7979, M38_797_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_797_8))))
% 293.42/42.94 -> [21003] ~(unequally_directed_lines(skolem_N7979, M38_797_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_797_8)))
% 293.42/42.94 -> [21004] (left_convergent_lines(skolem_N7979, M38_797_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_797_8)))
% 293.42/42.94
% 293.42/42.94 [21003] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_797_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_797_8)))
% 293.42/42.94 -> [21071] ~unequally_directed_lines(skolem_N7979, M38_797_8)
% 293.42/42.94 -> [21072] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_797_8))
% 293.42/42.94
% 293.42/42.94 [21071] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_797_8)
% 293.42/42.94
% 293.42/42.94 [21072] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_797_8))
% 293.42/42.94
% 293.42/42.94 [21004] BETA_OR : (left_convergent_lines(skolem_N7979, M38_797_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_797_8)))
% 293.42/42.94 -> [21007] left_convergent_lines(skolem_N7979, M38_797_8)
% 293.42/42.94 -> [21008] left_convergent_lines(skolem_N7979, reverse_line(M38_797_8))
% 293.42/42.94
% 293.42/42.94 [21008] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [21139] ~(left_apart_point(A39_1545_9, L40_1545_9) | left_apart_point(A39_1545_9, reverse_line(L40_1545_9)))
% 293.42/42.94
% 293.42/42.94 [21139] ALPHA_NOT_OR : ~(left_apart_point(A39_1545_9, L40_1545_9) | left_apart_point(A39_1545_9, reverse_line(L40_1545_9)))
% 293.42/42.94 -> [21141] ~left_apart_point(A39_1545_9, L40_1545_9), ~left_apart_point(A39_1545_9, reverse_line(L40_1545_9))
% 293.42/42.94
% 293.42/42.94 [21141] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.94 -> [22059] ~(left_convergent_lines(L41_216_10, M42_216_10) | left_convergent_lines(L41_216_10, reverse_line(M42_216_10)))
% 293.42/42.94
% 293.42/42.94 [22059] ALPHA_NOT_OR : ~(left_convergent_lines(L41_216_10, M42_216_10) | left_convergent_lines(L41_216_10, reverse_line(M42_216_10)))
% 293.42/42.94 -> [22062] ~left_convergent_lines(L41_216_10, M42_216_10), ~left_convergent_lines(L41_216_10, reverse_line(M42_216_10))
% 293.42/42.94
% 293.42/42.94 [22062] CLOSURE : ~left_convergent_lines(L41_216_10, M42_216_10)
% 293.42/42.94
% 293.42/42.94 [21007] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [21150] ~(left_apart_point(A39_1547_9, L40_1547_9) | left_apart_point(A39_1547_9, reverse_line(L40_1547_9)))
% 293.42/42.94
% 293.42/42.94 [21150] ALPHA_NOT_OR : ~(left_apart_point(A39_1547_9, L40_1547_9) | left_apart_point(A39_1547_9, reverse_line(L40_1547_9)))
% 293.42/42.94 -> [21156] ~left_apart_point(A39_1547_9, L40_1547_9), ~left_apart_point(A39_1547_9, reverse_line(L40_1547_9))
% 293.42/42.94
% 293.42/42.94 [21156] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 293.42/42.94 -> [22295] ~(left_convergent_lines(L41_219_10, M42_219_10) | left_convergent_lines(L41_219_10, reverse_line(M42_219_10)))
% 293.42/42.94
% 293.42/42.94 [22295] ALPHA_NOT_OR : ~(left_convergent_lines(L41_219_10, M42_219_10) | left_convergent_lines(L41_219_10, reverse_line(M42_219_10)))
% 293.42/42.94 -> [22297] ~left_convergent_lines(L41_219_10, M42_219_10), ~left_convergent_lines(L41_219_10, reverse_line(M42_219_10))
% 293.42/42.94
% 293.42/42.94 [22297] CLOSURE : ~left_convergent_lines(L41_219_10, M42_219_10)
% 293.42/42.94
% 293.42/42.94 [629] 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)))
% 293.42/42.94 -> [707] (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)))
% 293.42/42.94
% 293.42/42.94 [707] 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)))
% 293.42/42.94 -> [889] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 293.42/42.94 -> [890] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [889] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.94 -> [920] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.94
% 293.42/42.94 [920] 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))))
% 293.42/42.94 -> [2328] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.94
% 293.42/42.94 [2328] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.94 -> [2330] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.94 -> [2331] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.94
% 293.42/42.94 [2330] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.94
% 293.42/42.94 [2331] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.94 -> [4724] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.94 -> [4725] distinct_points(skolem_C8282, skolem_B8181)
% 293.42/42.94
% 293.42/42.94 [4724] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.94
% 293.42/42.94 [4725] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.94 -> [5564] ~distinct_lines(N27_161_3, N27_161_3)
% 293.42/42.94
% 293.42/42.94 [5564] 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))))
% 293.42/42.94 -> [5657] (distinct_lines(N27_161_3, N27_161_3) => (distinct_lines(N27_161_3, N27_161_3) | distinct_lines(N27_161_3, N27_161_3)))
% 293.42/42.94
% 293.42/42.94 [5657] BETA_IMPLY : (distinct_lines(N27_161_3, N27_161_3) => (distinct_lines(N27_161_3, N27_161_3) | distinct_lines(N27_161_3, N27_161_3)))
% 293.42/42.94 -> [5660] ~distinct_lines(N27_161_3, N27_161_3)
% 293.42/42.94 -> [5661] (distinct_lines(N27_161_3, N27_161_3) | distinct_lines(N27_161_3, N27_161_3))
% 293.42/42.94
% 293.42/42.94 [5661] BETA_OR : (distinct_lines(N27_161_3, N27_161_3) | distinct_lines(N27_161_3, N27_161_3))
% 293.42/42.94 -> [5667] distinct_lines(N27_161_3, N27_161_3)
% 293.42/42.94 -> [5668] distinct_lines(N27_161_3, N27_161_3)
% 293.42/42.94
% 293.42/42.94 [5668] CLOSURE : distinct_lines(N27_161_3, N27_161_3)
% 293.42/42.94
% 293.42/42.94 [5667] CLOSURE : distinct_lines(N27_161_3, N27_161_3)
% 293.42/42.94
% 293.42/42.94 [5660] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.94 -> [5791] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [5791] 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))))
% 293.42/42.94 -> [6213] (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))))
% 293.42/42.94
% 293.42/42.94 [6213] 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))))
% 293.42/42.94 -> [6218] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94 -> [6219] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.94
% 293.42/42.94 [6218] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [6219] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.94 -> [12827] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94 -> [12828] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [12828] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [12827] 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))))))
% 293.42/42.94 -> [18152] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_240_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_240_6))) | (unequally_directed_lines(skolem_N7979, N34_240_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_240_6)))))
% 293.42/42.94
% 293.42/42.94 [18152] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_240_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_240_6))) | (unequally_directed_lines(skolem_N7979, N34_240_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_240_6)))))
% 293.42/42.94 -> [18156] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.94 -> [18157] ((unequally_directed_lines(skolem_M7878, N34_240_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_240_6))) | (unequally_directed_lines(skolem_N7979, N34_240_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_240_6))))
% 293.42/42.94
% 293.42/42.94 [18156] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.94 -> [18490] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.94 -> [18491] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [18491] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [18490] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.94
% 293.42/42.94 [18157] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_240_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_240_6))) | (unequally_directed_lines(skolem_N7979, N34_240_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_240_6))))
% 293.42/42.94 -> [20867] (unequally_directed_lines(skolem_M7878, N34_240_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_240_6)))
% 293.42/42.94 -> [20868] (unequally_directed_lines(skolem_N7979, N34_240_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_240_6)))
% 293.42/42.94
% 293.42/42.94 [20867] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_240_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_240_6)))
% 293.42/42.94 -> [20895] unequally_directed_lines(skolem_M7878, N34_240_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_240_6))
% 293.42/42.94
% 293.42/42.94 [20895] 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)))))
% 293.42/42.94 -> [20941] ((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)))))
% 293.42/42.94
% 293.42/42.94 [20941] 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)))))
% 293.42/42.94 -> [20945] ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.42/42.94 -> [20946] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 293.42/42.94
% 293.42/42.94 [20946] 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))))
% 293.42/42.94 -> [20949] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.42/42.94 -> [20950] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.42/42.94
% 293.42/42.94 [20949] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.42/42.94
% 293.42/42.94 [20950] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [22909] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.94
% 293.42/42.94 [22909] 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))))
% 293.42/42.94 -> [22912] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [22913] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94
% 293.42/42.94 [22913] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [22917] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94 -> [22918] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [22918] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [22957] ~(left_apart_point(A39_1802_9, L40_1802_9) | left_apart_point(A39_1802_9, reverse_line(L40_1802_9)))
% 293.42/42.94
% 293.42/42.94 [22957] ALPHA_NOT_OR : ~(left_apart_point(A39_1802_9, L40_1802_9) | left_apart_point(A39_1802_9, reverse_line(L40_1802_9)))
% 293.42/42.94 -> [22958] ~left_apart_point(A39_1802_9, L40_1802_9), ~left_apart_point(A39_1802_9, reverse_line(L40_1802_9))
% 293.42/42.94
% 293.42/42.94 [22958] CLOSURE : ~left_apart_point(A39_1802_9, L40_1802_9)
% 293.42/42.94
% 293.42/42.94 [22917] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [22964] ~(left_apart_point(A39_1803_9, L40_1803_9) | left_apart_point(A39_1803_9, reverse_line(L40_1803_9)))
% 293.42/42.94
% 293.42/42.94 [22964] ALPHA_NOT_OR : ~(left_apart_point(A39_1803_9, L40_1803_9) | left_apart_point(A39_1803_9, reverse_line(L40_1803_9)))
% 293.42/42.94 -> [22966] ~left_apart_point(A39_1803_9, L40_1803_9), ~left_apart_point(A39_1803_9, reverse_line(L40_1803_9))
% 293.42/42.94
% 293.42/42.94 [22966] CLOSURE : ~left_apart_point(A39_1803_9, L40_1803_9)
% 293.42/42.94
% 293.42/42.94 [22912] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [22927] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94 -> [22928] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [22928] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [22927] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94
% 293.42/42.94 [20945] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.42/42.94 -> [20968] ~line(skolem_L7777)
% 293.42/42.94 -> [20969] ~line(line_connecting(skolem_B8181, skolem_C8282))
% 293.42/42.94
% 293.42/42.94 [20969] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [21016] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.94
% 293.42/42.94 [21016] 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))))
% 293.42/42.94 -> [21017] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [21018] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94
% 293.42/42.94 [21017] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [21075] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94 -> [21076] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [21075] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94
% 293.42/42.94 [21076] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [21018] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [21024] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94 -> [21025] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [21024] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [21827] ~(left_apart_point(A39_1650_9, L40_1650_9) | left_apart_point(A39_1650_9, reverse_line(L40_1650_9)))
% 293.42/42.94
% 293.42/42.94 [21827] ALPHA_NOT_OR : ~(left_apart_point(A39_1650_9, L40_1650_9) | left_apart_point(A39_1650_9, reverse_line(L40_1650_9)))
% 293.42/42.94 -> [21828] ~left_apart_point(A39_1650_9, L40_1650_9), ~left_apart_point(A39_1650_9, reverse_line(L40_1650_9))
% 293.42/42.94
% 293.42/42.94 [21828] CLOSURE : ~left_apart_point(A39_1650_9, L40_1650_9)
% 293.42/42.94
% 293.42/42.94 [21025] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [22273] ~(left_apart_point(A39_1713_9, L40_1713_9) | left_apart_point(A39_1713_9, reverse_line(L40_1713_9)))
% 293.42/42.94
% 293.42/42.94 [22273] ALPHA_NOT_OR : ~(left_apart_point(A39_1713_9, L40_1713_9) | left_apart_point(A39_1713_9, reverse_line(L40_1713_9)))
% 293.42/42.94 -> [22275] ~left_apart_point(A39_1713_9, L40_1713_9), ~left_apart_point(A39_1713_9, reverse_line(L40_1713_9))
% 293.42/42.94
% 293.42/42.94 [22275] CLOSURE : ~left_apart_point(A39_1713_9, L40_1713_9)
% 293.42/42.94
% 293.42/42.94 [20968] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [21060] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.94
% 293.42/42.94 [21060] 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))))
% 293.42/42.94 -> [21062] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [21063] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94
% 293.42/42.94 [21062] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [21098] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94 -> [21099] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [21099] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [21098] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94
% 293.42/42.94 [21063] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [21066] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94 -> [21067] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [21067] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [21777] ~(left_apart_point(A39_1638_9, L40_1638_9) | left_apart_point(A39_1638_9, reverse_line(L40_1638_9)))
% 293.42/42.94
% 293.42/42.94 [21777] ALPHA_NOT_OR : ~(left_apart_point(A39_1638_9, L40_1638_9) | left_apart_point(A39_1638_9, reverse_line(L40_1638_9)))
% 293.42/42.94 -> [21779] ~left_apart_point(A39_1638_9, L40_1638_9), ~left_apart_point(A39_1638_9, reverse_line(L40_1638_9))
% 293.42/42.94
% 293.42/42.94 [21779] CLOSURE : ~left_apart_point(A39_1638_9, L40_1638_9)
% 293.42/42.94
% 293.42/42.94 [21066] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [23343] ~(left_apart_point(A39_1871_9, L40_1871_9) | left_apart_point(A39_1871_9, reverse_line(L40_1871_9)))
% 293.42/42.94
% 293.42/42.94 [23343] ALPHA_NOT_OR : ~(left_apart_point(A39_1871_9, L40_1871_9) | left_apart_point(A39_1871_9, reverse_line(L40_1871_9)))
% 293.42/42.94 -> [23345] ~left_apart_point(A39_1871_9, L40_1871_9), ~left_apart_point(A39_1871_9, reverse_line(L40_1871_9))
% 293.42/42.94
% 293.42/42.94 [23345] CLOSURE : ~left_apart_point(A39_1871_9, L40_1871_9)
% 293.42/42.94
% 293.42/42.94 [20868] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_240_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_240_6)))
% 293.42/42.94 -> [20881] unequally_directed_lines(skolem_N7979, N34_240_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_240_6))
% 293.42/42.94
% 293.42/42.94 [20881] 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)))))
% 293.42/42.94 -> [20951] ((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)))))
% 293.42/42.94
% 293.42/42.94 [20951] 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)))))
% 293.42/42.94 -> [20952] ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.42/42.94 -> [20953] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 293.42/42.94
% 293.42/42.94 [20952] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.42/42.94 -> [20979] ~line(skolem_L7777)
% 293.42/42.94 -> [20980] ~line(line_connecting(skolem_B8181, skolem_C8282))
% 293.42/42.94
% 293.42/42.94 [20980] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [21042] ((unequally_directed_lines(skolem_N7979, M38_801_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_801_8))) => (left_convergent_lines(skolem_N7979, M38_801_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_801_8))))
% 293.42/42.94
% 293.42/42.94 [21042] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_801_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_801_8))) => (left_convergent_lines(skolem_N7979, M38_801_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_801_8))))
% 293.42/42.94 -> [21044] ~(unequally_directed_lines(skolem_N7979, M38_801_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_801_8)))
% 293.42/42.94 -> [21045] (left_convergent_lines(skolem_N7979, M38_801_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_801_8)))
% 293.42/42.94
% 293.42/42.94 [21044] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_801_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_801_8)))
% 293.42/42.94 -> [21082] ~unequally_directed_lines(skolem_N7979, M38_801_8)
% 293.42/42.94 -> [21083] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_801_8))
% 293.42/42.94
% 293.42/42.94 [21082] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_801_8)
% 293.42/42.94
% 293.42/42.94 [21083] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_801_8))
% 293.42/42.94
% 293.42/42.94 [21045] BETA_OR : (left_convergent_lines(skolem_N7979, M38_801_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_801_8)))
% 293.42/42.94 -> [21049] left_convergent_lines(skolem_N7979, M38_801_8)
% 293.42/42.94 -> [21050] left_convergent_lines(skolem_N7979, reverse_line(M38_801_8))
% 293.42/42.94
% 293.42/42.94 [21050] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [21715] ~(left_apart_point(A39_1629_9, L40_1629_9) | left_apart_point(A39_1629_9, reverse_line(L40_1629_9)))
% 293.42/42.94
% 293.42/42.94 [21715] ALPHA_NOT_OR : ~(left_apart_point(A39_1629_9, L40_1629_9) | left_apart_point(A39_1629_9, reverse_line(L40_1629_9)))
% 293.42/42.94 -> [21720] ~left_apart_point(A39_1629_9, L40_1629_9), ~left_apart_point(A39_1629_9, reverse_line(L40_1629_9))
% 293.42/42.94
% 293.42/42.94 [21720] CLOSURE : ~left_apart_point(A39_1629_9, L40_1629_9)
% 293.42/42.94
% 293.42/42.94 [21049] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [21760] ~(left_apart_point(A39_1635_9, L40_1635_9) | left_apart_point(A39_1635_9, reverse_line(L40_1635_9)))
% 293.42/42.94
% 293.42/42.94 [21760] ALPHA_NOT_OR : ~(left_apart_point(A39_1635_9, L40_1635_9) | left_apart_point(A39_1635_9, reverse_line(L40_1635_9)))
% 293.42/42.94 -> [21762] ~left_apart_point(A39_1635_9, L40_1635_9), ~left_apart_point(A39_1635_9, reverse_line(L40_1635_9))
% 293.42/42.94
% 293.42/42.94 [21762] CLOSURE : ~left_apart_point(A39_1635_9, L40_1635_9)
% 293.42/42.94
% 293.42/42.94 [20979] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [21111] ((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))))
% 293.42/42.94
% 293.42/42.94 [21111] 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))))
% 293.42/42.94 -> [21114] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.94 -> [21115] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.94
% 293.42/42.94 [21115] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.94 -> [21118] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.94 -> [21119] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [21119] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [21648] ~(left_apart_point(A39_1615_9, L40_1615_9) | left_apart_point(A39_1615_9, reverse_line(L40_1615_9)))
% 293.42/42.94
% 293.42/42.94 [21648] ALPHA_NOT_OR : ~(left_apart_point(A39_1615_9, L40_1615_9) | left_apart_point(A39_1615_9, reverse_line(L40_1615_9)))
% 293.42/42.94 -> [21653] ~left_apart_point(A39_1615_9, L40_1615_9), ~left_apart_point(A39_1615_9, reverse_line(L40_1615_9))
% 293.42/42.94
% 293.42/42.94 [21653] CLOSURE : ~left_apart_point(A39_1615_9, L40_1615_9)
% 293.42/42.94
% 293.42/42.94 [21118] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [21678] ~(left_apart_point(A39_1622_9, L40_1622_9) | left_apart_point(A39_1622_9, reverse_line(L40_1622_9)))
% 293.42/42.94
% 293.42/42.94 [21678] ALPHA_NOT_OR : ~(left_apart_point(A39_1622_9, L40_1622_9) | left_apart_point(A39_1622_9, reverse_line(L40_1622_9)))
% 293.42/42.94 -> [21680] ~left_apart_point(A39_1622_9, L40_1622_9), ~left_apart_point(A39_1622_9, reverse_line(L40_1622_9))
% 293.42/42.94
% 293.42/42.94 [21680] CLOSURE : ~left_apart_point(A39_1622_9, L40_1622_9)
% 293.42/42.94
% 293.42/42.94 [21114] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.94 -> [21131] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.94 -> [21132] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [21132] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [21131] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.94
% 293.42/42.94 [20953] 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))))
% 293.42/42.94 -> [20954] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.42/42.94 -> [20955] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.42/42.94
% 293.42/42.94 [20954] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.42/42.94
% 293.42/42.94 [20955] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [25253] ((unequally_directed_lines(skolem_N7979, M38_1092_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1092_8))) => (left_convergent_lines(skolem_N7979, M38_1092_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1092_8))))
% 293.42/42.94
% 293.42/42.94 [25253] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1092_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1092_8))) => (left_convergent_lines(skolem_N7979, M38_1092_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1092_8))))
% 293.42/42.94 -> [25256] ~(unequally_directed_lines(skolem_N7979, M38_1092_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1092_8)))
% 293.42/42.94 -> [25257] (left_convergent_lines(skolem_N7979, M38_1092_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1092_8)))
% 293.42/42.94
% 293.42/42.94 [25257] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1092_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1092_8)))
% 293.42/42.94 -> [25259] left_convergent_lines(skolem_N7979, M38_1092_8)
% 293.42/42.94 -> [25260] left_convergent_lines(skolem_N7979, reverse_line(M38_1092_8))
% 293.42/42.94
% 293.42/42.94 [25260] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [25313] ~(left_apart_point(A39_2155_9, L40_2155_9) | left_apart_point(A39_2155_9, reverse_line(L40_2155_9)))
% 293.42/42.94
% 293.42/42.94 [25313] ALPHA_NOT_OR : ~(left_apart_point(A39_2155_9, L40_2155_9) | left_apart_point(A39_2155_9, reverse_line(L40_2155_9)))
% 293.42/42.94 -> [25314] ~left_apart_point(A39_2155_9, L40_2155_9), ~left_apart_point(A39_2155_9, reverse_line(L40_2155_9))
% 293.42/42.94
% 293.42/42.94 [25314] CLOSURE : ~left_apart_point(A39_2155_9, L40_2155_9)
% 293.42/42.94
% 293.42/42.94 [25259] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [25318] ~(left_apart_point(A39_2157_9, L40_2157_9) | left_apart_point(A39_2157_9, reverse_line(L40_2157_9)))
% 293.42/42.94
% 293.42/42.94 [25318] ALPHA_NOT_OR : ~(left_apart_point(A39_2157_9, L40_2157_9) | left_apart_point(A39_2157_9, reverse_line(L40_2157_9)))
% 293.42/42.94 -> [25319] ~left_apart_point(A39_2157_9, L40_2157_9), ~left_apart_point(A39_2157_9, reverse_line(L40_2157_9))
% 293.42/42.94
% 293.42/42.94 [25319] CLOSURE : ~left_apart_point(A39_2157_9, L40_2157_9)
% 293.42/42.94
% 293.42/42.94 [25256] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1092_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1092_8)))
% 293.42/42.94 -> [25279] ~unequally_directed_lines(skolem_N7979, M38_1092_8)
% 293.42/42.94 -> [25280] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1092_8))
% 293.42/42.94
% 293.42/42.94 [25280] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1092_8))
% 293.42/42.94
% 293.42/42.94 [25279] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1092_8)
% 293.42/42.94
% 293.42/42.94 [890] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.94 -> [917] ~distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.94
% 293.42/42.94 [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))))
% 293.42/42.94 -> [2027] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.94
% 293.42/42.94 [2027] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.94 -> [2031] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.94 -> [2032] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.94
% 293.42/42.94 [2031] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.94
% 293.42/42.94 [2032] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.94 -> [5035] distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.94 -> [5036] distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.94
% 293.42/42.94 [5036] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.94
% 293.42/42.94 [5035] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.94 -> [6590] ~distinct_lines(N27_223_3, N27_223_3)
% 293.42/42.94
% 293.42/42.94 [6590] 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))))
% 293.42/42.94 -> [6872] (distinct_lines(N27_223_3, N27_223_3) => (distinct_lines(N27_223_3, N27_223_3) | distinct_lines(N27_223_3, N27_223_3)))
% 293.42/42.94
% 293.42/42.94 [6872] BETA_IMPLY : (distinct_lines(N27_223_3, N27_223_3) => (distinct_lines(N27_223_3, N27_223_3) | distinct_lines(N27_223_3, N27_223_3)))
% 293.42/42.94 -> [6873] ~distinct_lines(N27_223_3, N27_223_3)
% 293.42/42.94 -> [6874] (distinct_lines(N27_223_3, N27_223_3) | distinct_lines(N27_223_3, N27_223_3))
% 293.42/42.94
% 293.42/42.94 [6874] BETA_OR : (distinct_lines(N27_223_3, N27_223_3) | distinct_lines(N27_223_3, N27_223_3))
% 293.42/42.94 -> [6875] distinct_lines(N27_223_3, N27_223_3)
% 293.42/42.94 -> [6876] distinct_lines(N27_223_3, N27_223_3)
% 293.42/42.94
% 293.42/42.94 [6876] CLOSURE : distinct_lines(N27_223_3, N27_223_3)
% 293.42/42.94
% 293.42/42.94 [6875] CLOSURE : distinct_lines(N27_223_3, N27_223_3)
% 293.42/42.94
% 293.42/42.94 [6873] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.94 -> [7197] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [7197] 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))))
% 293.42/42.94 -> [7406] (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))))
% 293.42/42.94
% 293.42/42.94 [7406] 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))))
% 293.42/42.94 -> [7413] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94 -> [7414] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.94
% 293.42/42.94 [7413] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [7414] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.94 -> [15465] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94 -> [15466] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [15466] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [15465] 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))))))
% 293.42/42.94 -> [15554] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_215_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_215_6))) | (unequally_directed_lines(skolem_N7979, N34_215_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_215_6)))))
% 293.42/42.94
% 293.42/42.94 [15554] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_215_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_215_6))) | (unequally_directed_lines(skolem_N7979, N34_215_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_215_6)))))
% 293.42/42.94 -> [15557] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.94 -> [15558] ((unequally_directed_lines(skolem_M7878, N34_215_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_215_6))) | (unequally_directed_lines(skolem_N7979, N34_215_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_215_6))))
% 293.42/42.94
% 293.42/42.94 [15557] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.94 -> [15575] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.94 -> [15576] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [15576] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [15575] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.94
% 293.42/42.94 [15558] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_215_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_215_6))) | (unequally_directed_lines(skolem_N7979, N34_215_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_215_6))))
% 293.42/42.94 -> [22265] (unequally_directed_lines(skolem_M7878, N34_215_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_215_6)))
% 293.42/42.94 -> [22266] (unequally_directed_lines(skolem_N7979, N34_215_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_215_6)))
% 293.42/42.94
% 293.42/42.94 [22266] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_215_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_215_6)))
% 293.42/42.94 -> [22267] unequally_directed_lines(skolem_N7979, N34_215_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_215_6))
% 293.42/42.94
% 293.42/42.94 [22267] 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)))))
% 293.42/42.94 -> [22645] ((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)))))
% 293.42/42.94
% 293.42/42.94 [22645] 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)))))
% 293.42/42.94 -> [22650] ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.94 -> [22651] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 293.42/42.94
% 293.42/42.94 [22650] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.94 -> [22707] ~line(reverse_line(skolem_N7979))
% 293.42/42.94 -> [22708] ~line(reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [22708] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [22841] ((unequally_directed_lines(skolem_N7979, M38_919_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_919_8))) => (left_convergent_lines(skolem_N7979, M38_919_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_919_8))))
% 293.42/42.94
% 293.42/42.94 [22841] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_919_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_919_8))) => (left_convergent_lines(skolem_N7979, M38_919_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_919_8))))
% 293.42/42.94 -> [22844] ~(unequally_directed_lines(skolem_N7979, M38_919_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_919_8)))
% 293.42/42.94 -> [22845] (left_convergent_lines(skolem_N7979, M38_919_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_919_8)))
% 293.42/42.94
% 293.42/42.94 [22845] BETA_OR : (left_convergent_lines(skolem_N7979, M38_919_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_919_8)))
% 293.42/42.94 -> [22851] left_convergent_lines(skolem_N7979, M38_919_8)
% 293.42/42.94 -> [22852] left_convergent_lines(skolem_N7979, reverse_line(M38_919_8))
% 293.42/42.94
% 293.42/42.94 [22852] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [23090] ~(left_apart_point(A39_1816_9, L40_1816_9) | left_apart_point(A39_1816_9, reverse_line(L40_1816_9)))
% 293.42/42.94
% 293.42/42.94 [23090] ALPHA_NOT_OR : ~(left_apart_point(A39_1816_9, L40_1816_9) | left_apart_point(A39_1816_9, reverse_line(L40_1816_9)))
% 293.42/42.94 -> [23091] ~left_apart_point(A39_1816_9, L40_1816_9), ~left_apart_point(A39_1816_9, reverse_line(L40_1816_9))
% 293.42/42.94
% 293.42/42.94 [23091] CLOSURE : ~left_apart_point(A39_1816_9, L40_1816_9)
% 293.42/42.94
% 293.42/42.94 [22851] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [23096] ~(left_apart_point(A39_1818_9, L40_1818_9) | left_apart_point(A39_1818_9, reverse_line(L40_1818_9)))
% 293.42/42.94
% 293.42/42.94 [23096] ALPHA_NOT_OR : ~(left_apart_point(A39_1818_9, L40_1818_9) | left_apart_point(A39_1818_9, reverse_line(L40_1818_9)))
% 293.42/42.94 -> [23101] ~left_apart_point(A39_1818_9, L40_1818_9), ~left_apart_point(A39_1818_9, reverse_line(L40_1818_9))
% 293.42/42.94
% 293.42/42.94 [23101] CLOSURE : ~left_apart_point(A39_1818_9, L40_1818_9)
% 293.42/42.94
% 293.42/42.94 [22844] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_919_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_919_8)))
% 293.42/42.94 -> [22995] ~unequally_directed_lines(skolem_N7979, M38_919_8)
% 293.42/42.94 -> [22996] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_919_8))
% 293.42/42.94
% 293.42/42.94 [22996] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_919_8))
% 293.42/42.94
% 293.42/42.94 [22995] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_919_8)
% 293.42/42.94
% 293.42/42.94 [22707] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [22973] ((unequally_directed_lines(skolem_N7979, M38_933_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_933_8))) => (left_convergent_lines(skolem_N7979, M38_933_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_933_8))))
% 293.42/42.94
% 293.42/42.94 [22973] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_933_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_933_8))) => (left_convergent_lines(skolem_N7979, M38_933_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_933_8))))
% 293.42/42.94 -> [22977] ~(unequally_directed_lines(skolem_N7979, M38_933_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_933_8)))
% 293.42/42.94 -> [22978] (left_convergent_lines(skolem_N7979, M38_933_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_933_8)))
% 293.42/42.94
% 293.42/42.94 [22978] BETA_OR : (left_convergent_lines(skolem_N7979, M38_933_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_933_8)))
% 293.42/42.94 -> [22980] left_convergent_lines(skolem_N7979, M38_933_8)
% 293.42/42.94 -> [22981] left_convergent_lines(skolem_N7979, reverse_line(M38_933_8))
% 293.42/42.94
% 293.42/42.94 [22981] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [23228] ~(left_apart_point(A39_1843_9, L40_1843_9) | left_apart_point(A39_1843_9, reverse_line(L40_1843_9)))
% 293.42/42.94
% 293.42/42.94 [23228] ALPHA_NOT_OR : ~(left_apart_point(A39_1843_9, L40_1843_9) | left_apart_point(A39_1843_9, reverse_line(L40_1843_9)))
% 293.42/42.94 -> [23231] ~left_apart_point(A39_1843_9, L40_1843_9), ~left_apart_point(A39_1843_9, reverse_line(L40_1843_9))
% 293.42/42.94
% 293.42/42.94 [23231] CLOSURE : ~left_apart_point(A39_1843_9, L40_1843_9)
% 293.42/42.94
% 293.42/42.94 [22980] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [23261] ~(left_apart_point(A39_1848_9, L40_1848_9) | left_apart_point(A39_1848_9, reverse_line(L40_1848_9)))
% 293.42/42.94
% 293.42/42.94 [23261] ALPHA_NOT_OR : ~(left_apart_point(A39_1848_9, L40_1848_9) | left_apart_point(A39_1848_9, reverse_line(L40_1848_9)))
% 293.42/42.94 -> [23263] ~left_apart_point(A39_1848_9, L40_1848_9), ~left_apart_point(A39_1848_9, reverse_line(L40_1848_9))
% 293.42/42.94
% 293.42/42.94 [23263] CLOSURE : ~left_apart_point(A39_1848_9, L40_1848_9)
% 293.42/42.94
% 293.42/42.94 [22977] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_933_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_933_8)))
% 293.42/42.94 -> [23065] ~unequally_directed_lines(skolem_N7979, M38_933_8)
% 293.42/42.94 -> [23066] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_933_8))
% 293.42/42.94
% 293.42/42.94 [23066] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_933_8))
% 293.42/42.94
% 293.42/42.94 [23065] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_933_8)
% 293.42/42.94
% 293.42/42.94 [22651] 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))))
% 293.42/42.94 -> [22657] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.94 -> [22658] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 293.42/42.94
% 293.42/42.94 [22657] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [22658] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [24379] ((unequally_directed_lines(skolem_N7979, M38_1029_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1029_8))) => (left_convergent_lines(skolem_N7979, M38_1029_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1029_8))))
% 293.42/42.94
% 293.42/42.94 [24379] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1029_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1029_8))) => (left_convergent_lines(skolem_N7979, M38_1029_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1029_8))))
% 293.42/42.94 -> [24385] ~(unequally_directed_lines(skolem_N7979, M38_1029_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1029_8)))
% 293.42/42.94 -> [24386] (left_convergent_lines(skolem_N7979, M38_1029_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1029_8)))
% 293.42/42.94
% 293.42/42.94 [24386] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1029_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1029_8)))
% 293.42/42.94 -> [24393] left_convergent_lines(skolem_N7979, M38_1029_8)
% 293.42/42.94 -> [24394] left_convergent_lines(skolem_N7979, reverse_line(M38_1029_8))
% 293.42/42.94
% 293.42/42.94 [24394] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [24508] ~(left_apart_point(A39_2037_9, L40_2037_9) | left_apart_point(A39_2037_9, reverse_line(L40_2037_9)))
% 293.42/42.94
% 293.42/42.94 [24508] ALPHA_NOT_OR : ~(left_apart_point(A39_2037_9, L40_2037_9) | left_apart_point(A39_2037_9, reverse_line(L40_2037_9)))
% 293.42/42.94 -> [24510] ~left_apart_point(A39_2037_9, L40_2037_9), ~left_apart_point(A39_2037_9, reverse_line(L40_2037_9))
% 293.42/42.94
% 293.42/42.94 [24510] CLOSURE : ~left_apart_point(A39_2037_9, L40_2037_9)
% 293.42/42.94
% 293.42/42.94 [24393] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [24519] ~(left_apart_point(A39_2038_9, L40_2038_9) | left_apart_point(A39_2038_9, reverse_line(L40_2038_9)))
% 293.42/42.94
% 293.42/42.94 [24519] ALPHA_NOT_OR : ~(left_apart_point(A39_2038_9, L40_2038_9) | left_apart_point(A39_2038_9, reverse_line(L40_2038_9)))
% 293.42/42.94 -> [24523] ~left_apart_point(A39_2038_9, L40_2038_9), ~left_apart_point(A39_2038_9, reverse_line(L40_2038_9))
% 293.42/42.94
% 293.42/42.94 [24523] CLOSURE : ~left_apart_point(A39_2038_9, L40_2038_9)
% 293.42/42.94
% 293.42/42.94 [24385] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1029_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1029_8)))
% 293.42/42.94 -> [24403] ~unequally_directed_lines(skolem_N7979, M38_1029_8)
% 293.42/42.94 -> [24404] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1029_8))
% 293.42/42.94
% 293.42/42.94 [24404] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1029_8))
% 293.42/42.94
% 293.42/42.94 [24403] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1029_8)
% 293.42/42.94
% 293.42/42.94 [22265] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_215_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_215_6)))
% 293.42/42.94 -> [22360] unequally_directed_lines(skolem_M7878, N34_215_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_215_6))
% 293.42/42.94
% 293.42/42.94 [22360] 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)))))
% 293.42/42.94 -> [22693] ((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)))))
% 293.42/42.94
% 293.42/42.94 [22693] 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)))))
% 293.42/42.94 -> [22695] ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.42/42.94 -> [22696] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 293.42/42.94
% 293.42/42.94 [22695] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.42/42.94 -> [22734] ~line(skolem_L7777)
% 293.42/42.94 -> [22735] ~line(line_connecting(skolem_B8181, skolem_C8282))
% 293.42/42.94
% 293.42/42.94 [22735] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [22952] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.94
% 293.42/42.94 [22952] 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))))
% 293.42/42.94 -> [22953] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [22954] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94
% 293.42/42.94 [22954] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [22962] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94 -> [22963] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [22963] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [23216] ~(left_apart_point(A39_1842_9, L40_1842_9) | left_apart_point(A39_1842_9, reverse_line(L40_1842_9)))
% 293.42/42.94
% 293.42/42.94 [23216] ALPHA_NOT_OR : ~(left_apart_point(A39_1842_9, L40_1842_9) | left_apart_point(A39_1842_9, reverse_line(L40_1842_9)))
% 293.42/42.94 -> [23221] ~left_apart_point(A39_1842_9, L40_1842_9), ~left_apart_point(A39_1842_9, reverse_line(L40_1842_9))
% 293.42/42.94
% 293.42/42.94 [23221] CLOSURE : ~left_apart_point(A39_1842_9, L40_1842_9)
% 293.42/42.94
% 293.42/42.94 [22962] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [23250] ~(left_apart_point(A39_1847_9, L40_1847_9) | left_apart_point(A39_1847_9, reverse_line(L40_1847_9)))
% 293.42/42.94
% 293.42/42.94 [23250] ALPHA_NOT_OR : ~(left_apart_point(A39_1847_9, L40_1847_9) | left_apart_point(A39_1847_9, reverse_line(L40_1847_9)))
% 293.42/42.94 -> [23253] ~left_apart_point(A39_1847_9, L40_1847_9), ~left_apart_point(A39_1847_9, reverse_line(L40_1847_9))
% 293.42/42.94
% 293.42/42.94 [23253] CLOSURE : ~left_apart_point(A39_1847_9, L40_1847_9)
% 293.42/42.94
% 293.42/42.94 [22953] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [23057] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94 -> [23058] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [23058] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [23057] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94
% 293.42/42.94 [22734] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [23102] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.94
% 293.42/42.94 [23102] 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))))
% 293.42/42.94 -> [23103] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [23104] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94
% 293.42/42.94 [23104] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [23107] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94 -> [23108] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [23108] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [23288] ~(left_apart_point(A39_1855_9, L40_1855_9) | left_apart_point(A39_1855_9, reverse_line(L40_1855_9)))
% 293.42/42.94
% 293.42/42.94 [23288] ALPHA_NOT_OR : ~(left_apart_point(A39_1855_9, L40_1855_9) | left_apart_point(A39_1855_9, reverse_line(L40_1855_9)))
% 293.42/42.94 -> [23290] ~left_apart_point(A39_1855_9, L40_1855_9), ~left_apart_point(A39_1855_9, reverse_line(L40_1855_9))
% 293.42/42.94
% 293.42/42.94 [23290] CLOSURE : ~left_apart_point(A39_1855_9, L40_1855_9)
% 293.42/42.94
% 293.42/42.94 [23107] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [23320] ~(left_apart_point(A39_1863_9, L40_1863_9) | left_apart_point(A39_1863_9, reverse_line(L40_1863_9)))
% 293.42/42.94
% 293.42/42.94 [23320] ALPHA_NOT_OR : ~(left_apart_point(A39_1863_9, L40_1863_9) | left_apart_point(A39_1863_9, reverse_line(L40_1863_9)))
% 293.42/42.94 -> [23321] ~left_apart_point(A39_1863_9, L40_1863_9), ~left_apart_point(A39_1863_9, reverse_line(L40_1863_9))
% 293.42/42.94
% 293.42/42.94 [23321] CLOSURE : ~left_apart_point(A39_1863_9, L40_1863_9)
% 293.42/42.94
% 293.42/42.94 [23103] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [23170] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94 -> [23171] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [23171] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [23170] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94
% 293.42/42.94 [22696] 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))))
% 293.42/42.94 -> [22701] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.42/42.94 -> [22702] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.42/42.94
% 293.42/42.94 [22701] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.42/42.94
% 293.42/42.94 [22702] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [25294] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.94
% 293.42/42.94 [25294] 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))))
% 293.42/42.94 -> [25297] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [25298] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94
% 293.42/42.94 [25298] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [25303] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94 -> [25304] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [25304] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [25327] ~(left_apart_point(A39_2160_9, L40_2160_9) | left_apart_point(A39_2160_9, reverse_line(L40_2160_9)))
% 293.42/42.94
% 293.42/42.94 [25327] ALPHA_NOT_OR : ~(left_apart_point(A39_2160_9, L40_2160_9) | left_apart_point(A39_2160_9, reverse_line(L40_2160_9)))
% 293.42/42.94 -> [25328] ~left_apart_point(A39_2160_9, L40_2160_9), ~left_apart_point(A39_2160_9, reverse_line(L40_2160_9))
% 293.42/42.94
% 293.42/42.94 [25328] CLOSURE : ~left_apart_point(A39_2160_9, L40_2160_9)
% 293.42/42.94
% 293.42/42.94 [25303] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [25357] ~(left_apart_point(A39_2163_9, L40_2163_9) | left_apart_point(A39_2163_9, reverse_line(L40_2163_9)))
% 293.42/42.94
% 293.42/42.94 [25357] ALPHA_NOT_OR : ~(left_apart_point(A39_2163_9, L40_2163_9) | left_apart_point(A39_2163_9, reverse_line(L40_2163_9)))
% 293.42/42.94 -> [25360] ~left_apart_point(A39_2163_9, L40_2163_9), ~left_apart_point(A39_2163_9, reverse_line(L40_2163_9))
% 293.42/42.94
% 293.42/42.94 [25360] CLOSURE : ~left_apart_point(A39_2163_9, L40_2163_9)
% 293.42/42.94
% 293.42/42.94 [25297] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [25309] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94 -> [25310] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [25310] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [25309] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94
% 293.42/42.94 [540] 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)))
% 293.42/42.94 -> [544] (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)))
% 293.42/42.94
% 293.42/42.94 [544] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, 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))))
% 293.42/42.94 -> [664] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_B8181)))
% 293.42/42.94 -> [665] ~~(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)))
% 293.42/42.94
% 293.42/42.94 [664] 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)))
% 293.42/42.94 -> [953] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 293.42/42.94 -> [954] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [953] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.94 -> [1731] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.94
% 293.42/42.94 [1731] 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))))
% 293.42/42.94 -> [1855] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.94
% 293.42/42.94 [1855] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.94 -> [1856] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.94 -> [1857] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.94
% 293.42/42.94 [1856] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.94
% 293.42/42.94 [1857] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.94 -> [3411] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.94 -> [3412] distinct_points(skolem_C8282, skolem_B8181)
% 293.42/42.94
% 293.42/42.94 [3411] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.94
% 293.42/42.94 [3412] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.94 -> [3591] ~distinct_lines(N27_66_3, N27_66_3)
% 293.42/42.94
% 293.42/42.94 [3591] 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))))
% 293.42/42.94 -> [3635] (distinct_lines(N27_66_3, N27_66_3) => (distinct_lines(N27_66_3, N27_66_3) | distinct_lines(N27_66_3, N27_66_3)))
% 293.42/42.94
% 293.42/42.94 [3635] 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)))
% 293.42/42.94 -> [3636] ~distinct_lines(N27_66_3, N27_66_3)
% 293.42/42.94 -> [3637] (distinct_lines(N27_66_3, N27_66_3) | distinct_lines(N27_66_3, N27_66_3))
% 293.42/42.94
% 293.42/42.94 [3637] BETA_OR : (distinct_lines(N27_66_3, N27_66_3) | distinct_lines(N27_66_3, N27_66_3))
% 293.42/42.94 -> [3639] distinct_lines(N27_66_3, N27_66_3)
% 293.42/42.94 -> [3640] distinct_lines(N27_66_3, N27_66_3)
% 293.42/42.94
% 293.42/42.94 [3640] CLOSURE : distinct_lines(N27_66_3, N27_66_3)
% 293.42/42.94
% 293.42/42.94 [3639] CLOSURE : distinct_lines(N27_66_3, N27_66_3)
% 293.42/42.94
% 293.42/42.94 [3636] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.94 -> [3697] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.94
% 293.42/42.94 [3697] 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))))
% 293.42/42.94 -> [3725] (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)))
% 293.42/42.94
% 293.42/42.94 [3725] 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)))
% 293.42/42.94 -> [3726] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94 -> [3727] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [3726] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [3727] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.94 -> [4248] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.94 -> [4249] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.94
% 293.42/42.94 [4248] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.94
% 293.42/42.94 [4249] 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))))))
% 293.42/42.94 -> [4350] ((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)))))
% 293.42/42.94
% 293.42/42.94 [4350] 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)))))
% 293.42/42.94 -> [4354] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.94 -> [4355] ((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))))
% 293.42/42.94
% 293.42/42.94 [4354] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.94 -> [4368] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.94 -> [4369] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [4369] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [4368] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.94
% 293.42/42.94 [4355] 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))))
% 293.42/42.94 -> [5711] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [5712] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.94
% 293.42/42.94 [5711] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [5722] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [5722] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.94
% 293.42/42.94 [5712] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [5713] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [5713] 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)))))
% 293.42/42.94 -> [5798] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.94
% 293.42/42.94 [5798] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.94 -> [5799] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.94 -> [5800] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.94
% 293.42/42.94 [5800] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [5803] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.94 -> [5804] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [5803] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.94
% 293.42/42.94 [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)))))
% 293.42/42.94 -> [6111] ((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))))
% 293.42/42.94
% 293.42/42.94 [6111] 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))))
% 293.42/42.94 -> [6112] ~(unequally_directed_lines(skolem_N7979, M38_40_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_40_8)))
% 293.42/42.94 -> [6113] (left_convergent_lines(skolem_N7979, M38_40_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_40_8)))
% 293.42/42.94
% 293.42/42.94 [6113] BETA_OR : (left_convergent_lines(skolem_N7979, M38_40_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_40_8)))
% 293.42/42.94 -> [6114] left_convergent_lines(skolem_N7979, M38_40_8)
% 293.42/42.94 -> [6115] left_convergent_lines(skolem_N7979, reverse_line(M38_40_8))
% 293.42/42.94
% 293.42/42.94 [6115] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [6190] ~(left_apart_point(A39_74_9, L40_74_9) | left_apart_point(A39_74_9, reverse_line(L40_74_9)))
% 293.42/42.94
% 293.42/42.94 [6190] ALPHA_NOT_OR : ~(left_apart_point(A39_74_9, L40_74_9) | left_apart_point(A39_74_9, reverse_line(L40_74_9)))
% 293.42/42.94 -> [6191] ~left_apart_point(A39_74_9, L40_74_9), ~left_apart_point(A39_74_9, reverse_line(L40_74_9))
% 293.42/42.94
% 293.42/42.94 [6191] CLOSURE : ~left_apart_point(A39_74_9, L40_74_9)
% 293.42/42.94
% 293.42/42.94 [6114] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [6195] ~(left_apart_point(A39_76_9, L40_76_9) | left_apart_point(A39_76_9, reverse_line(L40_76_9)))
% 293.42/42.94
% 293.42/42.94 [6195] ALPHA_NOT_OR : ~(left_apart_point(A39_76_9, L40_76_9) | left_apart_point(A39_76_9, reverse_line(L40_76_9)))
% 293.42/42.94 -> [6196] ~left_apart_point(A39_76_9, L40_76_9), ~left_apart_point(A39_76_9, reverse_line(L40_76_9))
% 293.42/42.94
% 293.42/42.94 [6196] CLOSURE : ~left_apart_point(A39_76_9, L40_76_9)
% 293.42/42.94
% 293.42/42.94 [6112] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_40_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_40_8)))
% 293.42/42.94 -> [6126] ~unequally_directed_lines(skolem_N7979, M38_40_8)
% 293.42/42.94 -> [6127] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_40_8))
% 293.42/42.94
% 293.42/42.94 [6127] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_40_8))
% 293.42/42.94
% 293.42/42.94 [6126] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_40_8)
% 293.42/42.94
% 293.42/42.94 [5799] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.94 -> [5823] ~line(skolem_M7878)
% 293.42/42.94 -> [5824] ~line(skolem_M7878)
% 293.42/42.94
% 293.42/42.94 [5823] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [5986] ((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))))
% 293.42/42.94
% 293.42/42.94 [5986] 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))))
% 293.42/42.94 -> [5989] ~(unequally_directed_lines(skolem_N7979, M38_37_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_37_8)))
% 293.42/42.94 -> [5990] (left_convergent_lines(skolem_N7979, M38_37_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_37_8)))
% 293.42/42.94
% 293.42/42.94 [5990] BETA_OR : (left_convergent_lines(skolem_N7979, M38_37_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_37_8)))
% 293.42/42.94 -> [5992] left_convergent_lines(skolem_N7979, M38_37_8)
% 293.42/42.94 -> [5993] left_convergent_lines(skolem_N7979, reverse_line(M38_37_8))
% 293.42/42.94
% 293.42/42.94 [5993] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [6061] ~(left_apart_point(A39_69_9, L40_69_9) | left_apart_point(A39_69_9, reverse_line(L40_69_9)))
% 293.42/42.94
% 293.42/42.94 [6061] ALPHA_NOT_OR : ~(left_apart_point(A39_69_9, L40_69_9) | left_apart_point(A39_69_9, reverse_line(L40_69_9)))
% 293.42/42.94 -> [6062] ~left_apart_point(A39_69_9, L40_69_9), ~left_apart_point(A39_69_9, reverse_line(L40_69_9))
% 293.42/42.94
% 293.42/42.94 [6062] CLOSURE : ~left_apart_point(A39_69_9, L40_69_9)
% 293.42/42.94
% 293.42/42.94 [5992] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [6071] ~(left_apart_point(A39_70_9, L40_70_9) | left_apart_point(A39_70_9, reverse_line(L40_70_9)))
% 293.42/42.94
% 293.42/42.94 [6071] ALPHA_NOT_OR : ~(left_apart_point(A39_70_9, L40_70_9) | left_apart_point(A39_70_9, reverse_line(L40_70_9)))
% 293.42/42.94 -> [6072] ~left_apart_point(A39_70_9, L40_70_9), ~left_apart_point(A39_70_9, reverse_line(L40_70_9))
% 293.42/42.94
% 293.42/42.94 [6072] CLOSURE : ~left_apart_point(A39_70_9, L40_70_9)
% 293.42/42.94
% 293.42/42.94 [5989] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_37_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_37_8)))
% 293.42/42.94 -> [6014] ~unequally_directed_lines(skolem_N7979, M38_37_8)
% 293.42/42.94 -> [6015] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_37_8))
% 293.42/42.94
% 293.42/42.94 [6014] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_37_8)
% 293.42/42.94
% 293.42/42.94 [6015] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_37_8))
% 293.42/42.94
% 293.42/42.94 [5824] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [5868] ((unequally_directed_lines(skolem_N7979, M38_36_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_36_8))) => (left_convergent_lines(skolem_N7979, M38_36_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_36_8))))
% 293.42/42.94
% 293.42/42.94 [5868] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_36_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_36_8))) => (left_convergent_lines(skolem_N7979, M38_36_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_36_8))))
% 293.42/42.94 -> [5870] ~(unequally_directed_lines(skolem_N7979, M38_36_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_36_8)))
% 293.42/42.94 -> [5871] (left_convergent_lines(skolem_N7979, M38_36_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_36_8)))
% 293.42/42.94
% 293.42/42.94 [5871] BETA_OR : (left_convergent_lines(skolem_N7979, M38_36_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_36_8)))
% 293.42/42.94 -> [5877] left_convergent_lines(skolem_N7979, M38_36_8)
% 293.42/42.94 -> [5878] left_convergent_lines(skolem_N7979, reverse_line(M38_36_8))
% 293.42/42.94
% 293.42/42.94 [5877] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [5947] ~(left_apart_point(A39_68_9, L40_68_9) | left_apart_point(A39_68_9, reverse_line(L40_68_9)))
% 293.42/42.94
% 293.42/42.94 [5947] ALPHA_NOT_OR : ~(left_apart_point(A39_68_9, L40_68_9) | left_apart_point(A39_68_9, reverse_line(L40_68_9)))
% 293.42/42.94 -> [5948] ~left_apart_point(A39_68_9, L40_68_9), ~left_apart_point(A39_68_9, reverse_line(L40_68_9))
% 293.42/42.94
% 293.42/42.94 [5948] CLOSURE : ~left_apart_point(A39_68_9, L40_68_9)
% 293.42/42.94
% 293.42/42.94 [5878] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [6366] ~(left_apart_point(A39_81_9, L40_81_9) | left_apart_point(A39_81_9, reverse_line(L40_81_9)))
% 293.42/42.94
% 293.42/42.94 [6366] ALPHA_NOT_OR : ~(left_apart_point(A39_81_9, L40_81_9) | left_apart_point(A39_81_9, reverse_line(L40_81_9)))
% 293.42/42.94 -> [6367] ~left_apart_point(A39_81_9, L40_81_9), ~left_apart_point(A39_81_9, reverse_line(L40_81_9))
% 293.42/42.94
% 293.42/42.94 [6367] CLOSURE : ~left_apart_point(A39_81_9, L40_81_9)
% 293.42/42.94
% 293.42/42.94 [5870] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_36_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_36_8)))
% 293.42/42.94 -> [6332] ~unequally_directed_lines(skolem_N7979, M38_36_8)
% 293.42/42.94 -> [6333] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_36_8))
% 293.42/42.94
% 293.42/42.94 [6333] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_36_8))
% 293.42/42.94
% 293.42/42.94 [6332] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_36_8)
% 293.42/42.94
% 293.42/42.94 [954] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.94 -> [1440] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.94
% 293.42/42.94 [1440] 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))))
% 293.42/42.94 -> [1700] (distinct_points(skolem_A8080, skolem_B8181) => (distinct_points(skolem_A8080, skolem_B8181) | distinct_points(skolem_B8181, skolem_B8181)))
% 293.42/42.94
% 293.42/42.94 [1700] BETA_IMPLY : (distinct_points(skolem_A8080, skolem_B8181) => (distinct_points(skolem_A8080, skolem_B8181) | distinct_points(skolem_B8181, skolem_B8181)))
% 293.42/42.94 -> [1705] ~distinct_points(skolem_A8080, skolem_B8181)
% 293.42/42.94 -> [1706] (distinct_points(skolem_A8080, skolem_B8181) | distinct_points(skolem_B8181, skolem_B8181))
% 293.42/42.94
% 293.42/42.94 [1705] CLOSURE : ~distinct_points(skolem_A8080, skolem_B8181)
% 293.42/42.94
% 293.42/42.94 [1706] BETA_OR : (distinct_points(skolem_A8080, skolem_B8181) | distinct_points(skolem_B8181, skolem_B8181))
% 293.42/42.94 -> [3291] distinct_points(skolem_A8080, skolem_B8181)
% 293.42/42.94 -> [3292] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.94
% 293.42/42.94 [3292] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.94
% 293.42/42.94 [3291] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.94 -> [3350] ~distinct_lines(N27_54_3, N27_54_3)
% 293.42/42.94
% 293.42/42.94 [3350] 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))))
% 293.42/42.94 -> [3380] (distinct_lines(N27_54_3, N27_54_3) => (distinct_lines(N27_54_3, N27_54_3) | distinct_lines(N27_54_3, N27_54_3)))
% 293.42/42.94
% 293.42/42.94 [3380] BETA_IMPLY : (distinct_lines(N27_54_3, N27_54_3) => (distinct_lines(N27_54_3, N27_54_3) | distinct_lines(N27_54_3, N27_54_3)))
% 293.42/42.94 -> [3381] ~distinct_lines(N27_54_3, N27_54_3)
% 293.42/42.94 -> [3382] (distinct_lines(N27_54_3, N27_54_3) | distinct_lines(N27_54_3, N27_54_3))
% 293.42/42.94
% 293.42/42.94 [3382] BETA_OR : (distinct_lines(N27_54_3, N27_54_3) | distinct_lines(N27_54_3, N27_54_3))
% 293.42/42.94 -> [3383] distinct_lines(N27_54_3, N27_54_3)
% 293.42/42.94 -> [3384] distinct_lines(N27_54_3, N27_54_3)
% 293.42/42.94
% 293.42/42.94 [3384] CLOSURE : distinct_lines(N27_54_3, N27_54_3)
% 293.42/42.94
% 293.42/42.94 [3383] CLOSURE : distinct_lines(N27_54_3, N27_54_3)
% 293.42/42.94
% 293.42/42.94 [3381] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.94 -> [3421] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [3421] 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))))
% 293.42/42.94 -> [3453] (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))))
% 293.42/42.94
% 293.42/42.94 [3453] 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))))
% 293.42/42.94 -> [3456] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94 -> [3457] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.94
% 293.42/42.94 [3456] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [3457] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.94 -> [4426] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94 -> [4427] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [4427] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [4426] 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))))))
% 293.42/42.94 -> [5587] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_28_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_28_6))) | (unequally_directed_lines(skolem_N7979, N34_28_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_28_6)))))
% 293.42/42.94
% 293.42/42.94 [5587] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_28_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_28_6))) | (unequally_directed_lines(skolem_N7979, N34_28_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_28_6)))))
% 293.42/42.94 -> [5589] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.94 -> [5590] ((unequally_directed_lines(skolem_M7878, N34_28_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_28_6))) | (unequally_directed_lines(skolem_N7979, N34_28_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_28_6))))
% 293.42/42.94
% 293.42/42.94 [5589] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.94 -> [5603] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.94 -> [5604] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [5604] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [5603] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.94
% 293.42/42.94 [5590] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_28_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_28_6))) | (unequally_directed_lines(skolem_N7979, N34_28_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_28_6))))
% 293.42/42.94 -> [15960] (unequally_directed_lines(skolem_M7878, N34_28_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_28_6)))
% 293.42/42.94 -> [15961] (unequally_directed_lines(skolem_N7979, N34_28_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_28_6)))
% 293.42/42.94
% 293.42/42.94 [15960] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_28_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_28_6)))
% 293.42/42.94 -> [15975] unequally_directed_lines(skolem_M7878, N34_28_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_28_6))
% 293.42/42.94
% 293.42/42.94 [15975] 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)))))
% 293.42/42.94 -> [16047] ((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)))))
% 293.42/42.94
% 293.42/42.94 [16047] 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)))))
% 293.42/42.94 -> [16050] ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.94 -> [16051] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))
% 293.42/42.94
% 293.42/42.94 [16050] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.94 -> [16085] ~line(skolem_L7777)
% 293.42/42.94 -> [16086] ~line(line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.94
% 293.42/42.94 [16086] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [16186] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.94
% 293.42/42.94 [16186] 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))))
% 293.42/42.94 -> [16189] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [16190] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94
% 293.42/42.94 [16190] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [16193] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94 -> [16194] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [16194] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [16493] ~(left_apart_point(A39_974_9, L40_974_9) | left_apart_point(A39_974_9, reverse_line(L40_974_9)))
% 293.42/42.94
% 293.42/42.94 [16493] ALPHA_NOT_OR : ~(left_apart_point(A39_974_9, L40_974_9) | left_apart_point(A39_974_9, reverse_line(L40_974_9)))
% 293.42/42.94 -> [16495] ~left_apart_point(A39_974_9, L40_974_9), ~left_apart_point(A39_974_9, reverse_line(L40_974_9))
% 293.42/42.94
% 293.42/42.94 [16495] CLOSURE : ~left_apart_point(A39_974_9, L40_974_9)
% 293.42/42.94
% 293.42/42.94 [16193] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [16543] ~(left_apart_point(A39_978_9, L40_978_9) | left_apart_point(A39_978_9, reverse_line(L40_978_9)))
% 293.42/42.94
% 293.42/42.94 [16543] ALPHA_NOT_OR : ~(left_apart_point(A39_978_9, L40_978_9) | left_apart_point(A39_978_9, reverse_line(L40_978_9)))
% 293.42/42.94 -> [16544] ~left_apart_point(A39_978_9, L40_978_9), ~left_apart_point(A39_978_9, reverse_line(L40_978_9))
% 293.42/42.94
% 293.42/42.94 [16544] CLOSURE : ~left_apart_point(A39_978_9, L40_978_9)
% 293.42/42.94
% 293.42/42.94 [16189] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [16263] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94 -> [16264] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [16264] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [16263] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94
% 293.42/42.94 [16085] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [16238] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.94
% 293.42/42.94 [16238] 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))))
% 293.42/42.94 -> [16241] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [16242] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94
% 293.42/42.94 [16242] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [16248] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94 -> [16249] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [16248] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [16802] ~(left_apart_point(A39_1013_9, L40_1013_9) | left_apart_point(A39_1013_9, reverse_line(L40_1013_9)))
% 293.42/42.94
% 293.42/42.94 [16802] ALPHA_NOT_OR : ~(left_apart_point(A39_1013_9, L40_1013_9) | left_apart_point(A39_1013_9, reverse_line(L40_1013_9)))
% 293.42/42.94 -> [16803] ~left_apart_point(A39_1013_9, L40_1013_9), ~left_apart_point(A39_1013_9, reverse_line(L40_1013_9))
% 293.42/42.94
% 293.42/42.94 [16803] CLOSURE : ~left_apart_point(A39_1013_9, L40_1013_9)
% 293.42/42.94
% 293.42/42.94 [16249] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [16815] ~(left_apart_point(A39_1014_9, L40_1014_9) | left_apart_point(A39_1014_9, reverse_line(L40_1014_9)))
% 293.42/42.94
% 293.42/42.94 [16815] ALPHA_NOT_OR : ~(left_apart_point(A39_1014_9, L40_1014_9) | left_apart_point(A39_1014_9, reverse_line(L40_1014_9)))
% 293.42/42.94 -> [16818] ~left_apart_point(A39_1014_9, L40_1014_9), ~left_apart_point(A39_1014_9, reverse_line(L40_1014_9))
% 293.42/42.94
% 293.42/42.94 [16818] CLOSURE : ~left_apart_point(A39_1014_9, L40_1014_9)
% 293.42/42.94
% 293.42/42.94 [16241] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [16298] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94 -> [16299] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [16299] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [16298] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94
% 293.42/42.94 [16051] 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))))
% 293.42/42.94 -> [16053] unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.94 -> [16054] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.94
% 293.42/42.94 [16053] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.94
% 293.42/42.94 [16054] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [20150] ((unequally_directed_lines(skolem_M7878, M38_753_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_753_8))) => (left_convergent_lines(skolem_M7878, M38_753_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_753_8))))
% 293.42/42.94
% 293.42/42.94 [20150] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_753_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_753_8))) => (left_convergent_lines(skolem_M7878, M38_753_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_753_8))))
% 293.42/42.94 -> [20161] ~(unequally_directed_lines(skolem_M7878, M38_753_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_753_8)))
% 293.42/42.94 -> [20162] (left_convergent_lines(skolem_M7878, M38_753_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_753_8)))
% 293.42/42.94
% 293.42/42.94 [20161] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_753_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_753_8)))
% 293.42/42.94 -> [20261] ~unequally_directed_lines(skolem_M7878, M38_753_8)
% 293.42/42.94 -> [20262] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_753_8))
% 293.42/42.94
% 293.42/42.94 [20262] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_753_8))
% 293.42/42.94
% 293.42/42.94 [20261] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_753_8)
% 293.42/42.94
% 293.42/42.94 [20162] BETA_OR : (left_convergent_lines(skolem_M7878, M38_753_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_753_8)))
% 293.42/42.94 -> [20173] left_convergent_lines(skolem_M7878, M38_753_8)
% 293.42/42.94 -> [20174] left_convergent_lines(skolem_M7878, reverse_line(M38_753_8))
% 293.42/42.94
% 293.42/42.94 [20174] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [20422] ~(left_apart_point(A39_1483_9, L40_1483_9) | left_apart_point(A39_1483_9, reverse_line(L40_1483_9)))
% 293.42/42.94
% 293.42/42.94 [20422] ALPHA_NOT_OR : ~(left_apart_point(A39_1483_9, L40_1483_9) | left_apart_point(A39_1483_9, reverse_line(L40_1483_9)))
% 293.42/42.94 -> [20425] ~left_apart_point(A39_1483_9, L40_1483_9), ~left_apart_point(A39_1483_9, reverse_line(L40_1483_9))
% 293.42/42.94
% 293.42/42.94 [20425] CLOSURE : ~left_apart_point(A39_1483_9, L40_1483_9)
% 293.42/42.94
% 293.42/42.94 [20173] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [20758] ~(left_apart_point(A39_1520_9, L40_1520_9) | left_apart_point(A39_1520_9, reverse_line(L40_1520_9)))
% 293.42/42.94
% 293.42/42.94 [20758] ALPHA_NOT_OR : ~(left_apart_point(A39_1520_9, L40_1520_9) | left_apart_point(A39_1520_9, reverse_line(L40_1520_9)))
% 293.42/42.94 -> [20761] ~left_apart_point(A39_1520_9, L40_1520_9), ~left_apart_point(A39_1520_9, reverse_line(L40_1520_9))
% 293.42/42.94
% 293.42/42.94 [20761] CLOSURE : ~left_apart_point(A39_1520_9, L40_1520_9)
% 293.42/42.94
% 293.42/42.94 [15961] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_28_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_28_6)))
% 293.42/42.94 -> [15962] unequally_directed_lines(skolem_N7979, N34_28_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_28_6))
% 293.42/42.94
% 293.42/42.94 [15962] 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)))))
% 293.42/42.94 -> [16012] ((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))))
% 293.42/42.94
% 293.42/42.94 [16012] 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))))
% 293.42/42.94 -> [16013] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.94 -> [16014] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.94
% 293.42/42.94 [16013] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 293.42/42.94 -> [16027] ~line(reverse_line(skolem_N7979))
% 293.42/42.94 -> [16028] ~line(skolem_N7979)
% 293.42/42.94
% 293.42/42.94 [16028] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [16136] ((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))))
% 293.42/42.94
% 293.42/42.94 [16136] 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))))
% 293.42/42.94 -> [16137] ~(unequally_directed_lines(skolem_N7979, M38_492_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_492_8)))
% 293.42/42.94 -> [16138] (left_convergent_lines(skolem_N7979, M38_492_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_492_8)))
% 293.42/42.94
% 293.42/42.94 [16137] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_492_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_492_8)))
% 293.42/42.94 -> [16176] ~unequally_directed_lines(skolem_N7979, M38_492_8)
% 293.42/42.94 -> [16177] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_492_8))
% 293.42/42.94
% 293.42/42.94 [16177] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_492_8))
% 293.42/42.94
% 293.42/42.94 [16176] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_492_8)
% 293.42/42.94
% 293.42/42.94 [16138] BETA_OR : (left_convergent_lines(skolem_N7979, M38_492_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_492_8)))
% 293.42/42.94 -> [16140] left_convergent_lines(skolem_N7979, M38_492_8)
% 293.42/42.94 -> [16141] left_convergent_lines(skolem_N7979, reverse_line(M38_492_8))
% 293.42/42.94
% 293.42/42.94 [16141] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [16494] ~(left_apart_point(A39_975_9, L40_975_9) | left_apart_point(A39_975_9, reverse_line(L40_975_9)))
% 293.42/42.94
% 293.42/42.94 [16494] ALPHA_NOT_OR : ~(left_apart_point(A39_975_9, L40_975_9) | left_apart_point(A39_975_9, reverse_line(L40_975_9)))
% 293.42/42.94 -> [16496] ~left_apart_point(A39_975_9, L40_975_9), ~left_apart_point(A39_975_9, reverse_line(L40_975_9))
% 293.42/42.94
% 293.42/42.94 [16496] CLOSURE : ~left_apart_point(A39_975_9, L40_975_9)
% 293.42/42.94
% 293.42/42.94 [16140] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [16618] ~(left_apart_point(A39_992_9, L40_992_9) | left_apart_point(A39_992_9, reverse_line(L40_992_9)))
% 293.42/42.94
% 293.42/42.94 [16618] ALPHA_NOT_OR : ~(left_apart_point(A39_992_9, L40_992_9) | left_apart_point(A39_992_9, reverse_line(L40_992_9)))
% 293.42/42.94 -> [16620] ~left_apart_point(A39_992_9, L40_992_9), ~left_apart_point(A39_992_9, reverse_line(L40_992_9))
% 293.42/42.94
% 293.42/42.94 [16620] CLOSURE : ~left_apart_point(A39_992_9, L40_992_9)
% 293.42/42.94
% 293.42/42.94 [16027] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [16166] ((unequally_directed_lines(skolem_N7979, M38_494_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_494_8))) => (left_convergent_lines(skolem_N7979, M38_494_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_494_8))))
% 293.42/42.94
% 293.42/42.94 [16166] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_494_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_494_8))) => (left_convergent_lines(skolem_N7979, M38_494_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_494_8))))
% 293.42/42.94 -> [16171] ~(unequally_directed_lines(skolem_N7979, M38_494_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_494_8)))
% 293.42/42.94 -> [16172] (left_convergent_lines(skolem_N7979, M38_494_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_494_8)))
% 293.42/42.94
% 293.42/42.94 [16171] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_494_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_494_8)))
% 293.42/42.94 -> [16207] ~unequally_directed_lines(skolem_N7979, M38_494_8)
% 293.42/42.94 -> [16208] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_494_8))
% 293.42/42.94
% 293.42/42.94 [16208] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_494_8))
% 293.42/42.94
% 293.42/42.94 [16207] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_494_8)
% 293.42/42.94
% 293.42/42.94 [16172] BETA_OR : (left_convergent_lines(skolem_N7979, M38_494_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_494_8)))
% 293.42/42.94 -> [16174] left_convergent_lines(skolem_N7979, M38_494_8)
% 293.42/42.94 -> [16175] left_convergent_lines(skolem_N7979, reverse_line(M38_494_8))
% 293.42/42.94
% 293.42/42.94 [16175] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [16454] ~(left_apart_point(A39_973_9, L40_973_9) | left_apart_point(A39_973_9, reverse_line(L40_973_9)))
% 293.42/42.94
% 293.42/42.94 [16454] ALPHA_NOT_OR : ~(left_apart_point(A39_973_9, L40_973_9) | left_apart_point(A39_973_9, reverse_line(L40_973_9)))
% 293.42/42.94 -> [16460] ~left_apart_point(A39_973_9, L40_973_9), ~left_apart_point(A39_973_9, reverse_line(L40_973_9))
% 293.42/42.94
% 293.42/42.94 [16460] CLOSURE : ~left_apart_point(A39_973_9, L40_973_9)
% 293.42/42.94
% 293.42/42.94 [16174] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [16739] ~(left_apart_point(A39_1004_9, L40_1004_9) | left_apart_point(A39_1004_9, reverse_line(L40_1004_9)))
% 293.42/42.94
% 293.42/42.94 [16739] ALPHA_NOT_OR : ~(left_apart_point(A39_1004_9, L40_1004_9) | left_apart_point(A39_1004_9, reverse_line(L40_1004_9)))
% 293.42/42.94 -> [16740] ~left_apart_point(A39_1004_9, L40_1004_9), ~left_apart_point(A39_1004_9, reverse_line(L40_1004_9))
% 293.42/42.94
% 293.42/42.94 [16740] CLOSURE : ~left_apart_point(A39_1004_9, L40_1004_9)
% 293.42/42.94
% 293.42/42.94 [16014] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.94 -> [16019] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 293.42/42.94 -> [16020] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [16020] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [16019] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [22066] ((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))))
% 293.42/42.94
% 293.42/42.94 [22066] 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))))
% 293.42/42.94 -> [22068] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.94 -> [22069] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.94
% 293.42/42.94 [22068] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.94 -> [22162] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.94 -> [22163] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [22163] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [22162] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.94
% 293.42/42.94 [22069] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.94 -> [22073] left_convergent_lines(skolem_M7878, skolem_N7979)
% 293.42/42.94 -> [22074] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [22073] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [22444] ~(left_apart_point(A39_1744_9, L40_1744_9) | left_apart_point(A39_1744_9, reverse_line(L40_1744_9)))
% 293.42/42.94
% 293.42/42.94 [22444] ALPHA_NOT_OR : ~(left_apart_point(A39_1744_9, L40_1744_9) | left_apart_point(A39_1744_9, reverse_line(L40_1744_9)))
% 293.42/42.94 -> [22447] ~left_apart_point(A39_1744_9, L40_1744_9), ~left_apart_point(A39_1744_9, reverse_line(L40_1744_9))
% 293.42/42.94
% 293.42/42.94 [22447] CLOSURE : ~left_apart_point(A39_1744_9, L40_1744_9)
% 293.42/42.94
% 293.42/42.94 [22074] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [22369] ~(left_apart_point(A39_1729_9, L40_1729_9) | left_apart_point(A39_1729_9, reverse_line(L40_1729_9)))
% 293.42/42.94
% 293.42/42.94 [22369] ALPHA_NOT_OR : ~(left_apart_point(A39_1729_9, L40_1729_9) | left_apart_point(A39_1729_9, reverse_line(L40_1729_9)))
% 293.42/42.94 -> [22370] ~left_apart_point(A39_1729_9, L40_1729_9), ~left_apart_point(A39_1729_9, reverse_line(L40_1729_9))
% 293.42/42.94
% 293.42/42.94 [22370] CLOSURE : ~left_apart_point(A39_1729_9, L40_1729_9)
% 293.42/42.94
% 293.42/42.94 [665] 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)))
% 293.42/42.94 -> [672] (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)))
% 293.42/42.94
% 293.42/42.94 [672] 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)))
% 293.42/42.94 -> [676] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 293.42/42.94 -> [677] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [677] 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)))
% 293.42/42.94 -> [929] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 293.42/42.94 -> [930] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [929] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.94 -> [949] ~distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.94
% 293.42/42.94 [949] 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))))
% 293.42/42.94 -> [995] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.94
% 293.42/42.94 [995] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.94 -> [996] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.94 -> [997] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.94
% 293.42/42.94 [996] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.94
% 293.42/42.94 [997] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.94 -> [2971] distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.94 -> [2972] distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.94
% 293.42/42.94 [2972] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.94
% 293.42/42.94 [2971] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.94 -> [3334] ~distinct_lines(M26_52_3, M26_52_3)
% 293.42/42.94
% 293.42/42.94 [3334] 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))))
% 293.42/42.94 -> [3353] (distinct_lines(M26_52_3, M26_52_3) => (distinct_lines(M26_52_3, M26_52_3) | distinct_lines(M26_52_3, M26_52_3)))
% 293.42/42.94
% 293.42/42.94 [3353] BETA_IMPLY : (distinct_lines(M26_52_3, M26_52_3) => (distinct_lines(M26_52_3, M26_52_3) | distinct_lines(M26_52_3, M26_52_3)))
% 293.42/42.94 -> [3356] ~distinct_lines(M26_52_3, M26_52_3)
% 293.42/42.94 -> [3357] (distinct_lines(M26_52_3, M26_52_3) | distinct_lines(M26_52_3, M26_52_3))
% 293.42/42.94
% 293.42/42.94 [3357] BETA_OR : (distinct_lines(M26_52_3, M26_52_3) | distinct_lines(M26_52_3, M26_52_3))
% 293.42/42.94 -> [3360] distinct_lines(M26_52_3, M26_52_3)
% 293.42/42.94 -> [3361] distinct_lines(M26_52_3, M26_52_3)
% 293.42/42.94
% 293.42/42.94 [3360] CLOSURE : distinct_lines(M26_52_3, M26_52_3)
% 293.42/42.94
% 293.42/42.94 [3361] CLOSURE : distinct_lines(M26_52_3, M26_52_3)
% 293.42/42.94
% 293.42/42.94 [3356] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.94 -> [3406] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [3406] 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))))
% 293.42/42.94 -> [3433] (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))))
% 293.42/42.94
% 293.42/42.94 [3433] 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))))
% 293.42/42.94 -> [3434] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94 -> [3435] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.94
% 293.42/42.94 [3434] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [3435] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.94 -> [4661] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94 -> [4662] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [4662] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [4661] 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))))))
% 293.42/42.94 -> [5124] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_25_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_25_6))) | (unequally_directed_lines(skolem_N7979, N34_25_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_25_6)))))
% 293.42/42.94
% 293.42/42.94 [5124] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_25_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_25_6))) | (unequally_directed_lines(skolem_N7979, N34_25_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_25_6)))))
% 293.42/42.94 -> [5127] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.94 -> [5128] ((unequally_directed_lines(skolem_M7878, N34_25_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_25_6))) | (unequally_directed_lines(skolem_N7979, N34_25_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_25_6))))
% 293.42/42.94
% 293.42/42.94 [5127] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.94 -> [5144] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.94 -> [5145] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [5145] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [5144] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.94
% 293.42/42.94 [5128] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_25_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_25_6))) | (unequally_directed_lines(skolem_N7979, N34_25_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_25_6))))
% 293.42/42.94 -> [9024] (unequally_directed_lines(skolem_M7878, N34_25_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_25_6)))
% 293.42/42.94 -> [9025] (unequally_directed_lines(skolem_N7979, N34_25_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_25_6)))
% 293.42/42.94
% 293.42/42.94 [9025] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_25_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_25_6)))
% 293.42/42.94 -> [9026] unequally_directed_lines(skolem_N7979, N34_25_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_25_6))
% 293.42/42.94
% 293.42/42.94 [9026] 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)))))
% 293.42/42.94 -> [10584] ((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)))))
% 293.42/42.94
% 293.42/42.94 [10584] 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)))))
% 293.42/42.94 -> [10586] ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.42/42.94 -> [10587] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 293.42/42.94
% 293.42/42.94 [10586] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.42/42.94 -> [10605] ~line(skolem_L7777)
% 293.42/42.94 -> [10606] ~line(line_connecting(skolem_B8181, skolem_C8282))
% 293.42/42.94
% 293.42/42.94 [10605] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [10654] ((unequally_directed_lines(skolem_N7979, M38_192_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_192_8))) => (left_convergent_lines(skolem_N7979, M38_192_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_192_8))))
% 293.42/42.94
% 293.42/42.94 [10654] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_192_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_192_8))) => (left_convergent_lines(skolem_N7979, M38_192_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_192_8))))
% 293.42/42.94 -> [10655] ~(unequally_directed_lines(skolem_N7979, M38_192_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_192_8)))
% 293.42/42.94 -> [10656] (left_convergent_lines(skolem_N7979, M38_192_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_192_8)))
% 293.42/42.94
% 293.42/42.94 [10655] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_192_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_192_8)))
% 293.42/42.94 -> [10713] ~unequally_directed_lines(skolem_N7979, M38_192_8)
% 293.42/42.94 -> [10714] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_192_8))
% 293.42/42.94
% 293.42/42.94 [10714] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_192_8))
% 293.42/42.94
% 293.42/42.94 [10713] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_192_8)
% 293.42/42.94
% 293.42/42.94 [10656] BETA_OR : (left_convergent_lines(skolem_N7979, M38_192_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_192_8)))
% 293.42/42.94 -> [10660] left_convergent_lines(skolem_N7979, M38_192_8)
% 293.42/42.94 -> [10661] left_convergent_lines(skolem_N7979, reverse_line(M38_192_8))
% 293.42/42.94
% 293.42/42.94 [10660] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [10844] ~(left_apart_point(A39_377_9, L40_377_9) | left_apart_point(A39_377_9, reverse_line(L40_377_9)))
% 293.42/42.94
% 293.42/42.94 [10844] ALPHA_NOT_OR : ~(left_apart_point(A39_377_9, L40_377_9) | left_apart_point(A39_377_9, reverse_line(L40_377_9)))
% 293.42/42.94 -> [10845] ~left_apart_point(A39_377_9, L40_377_9), ~left_apart_point(A39_377_9, reverse_line(L40_377_9))
% 293.42/42.94
% 293.42/42.94 [10845] CLOSURE : ~left_apart_point(A39_377_9, L40_377_9)
% 293.42/42.94
% 293.42/42.94 [10661] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [10850] ~(left_apart_point(A39_379_9, L40_379_9) | left_apart_point(A39_379_9, reverse_line(L40_379_9)))
% 293.42/42.94
% 293.42/42.94 [10850] ALPHA_NOT_OR : ~(left_apart_point(A39_379_9, L40_379_9) | left_apart_point(A39_379_9, reverse_line(L40_379_9)))
% 293.42/42.94 -> [10851] ~left_apart_point(A39_379_9, L40_379_9), ~left_apart_point(A39_379_9, reverse_line(L40_379_9))
% 293.42/42.94
% 293.42/42.94 [10851] CLOSURE : ~left_apart_point(A39_379_9, L40_379_9)
% 293.42/42.94
% 293.42/42.94 [10606] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [10634] ((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))))
% 293.42/42.94
% 293.42/42.94 [10634] 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))))
% 293.42/42.94 -> [10637] ~(unequally_directed_lines(skolem_N7979, M38_191_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_191_8)))
% 293.42/42.94 -> [10638] (left_convergent_lines(skolem_N7979, M38_191_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_191_8)))
% 293.42/42.94
% 293.42/42.94 [10637] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_191_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_191_8)))
% 293.42/42.94 -> [10665] ~unequally_directed_lines(skolem_N7979, M38_191_8)
% 293.42/42.94 -> [10666] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_191_8))
% 293.42/42.94
% 293.42/42.94 [10666] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_191_8))
% 293.42/42.94
% 293.42/42.94 [10665] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_191_8)
% 293.42/42.94
% 293.42/42.94 [10638] BETA_OR : (left_convergent_lines(skolem_N7979, M38_191_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_191_8)))
% 293.42/42.94 -> [10644] left_convergent_lines(skolem_N7979, M38_191_8)
% 293.42/42.94 -> [10645] left_convergent_lines(skolem_N7979, reverse_line(M38_191_8))
% 293.42/42.94
% 293.42/42.94 [10645] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [10766] ~(left_apart_point(A39_372_9, L40_372_9) | left_apart_point(A39_372_9, reverse_line(L40_372_9)))
% 293.42/42.94
% 293.42/42.94 [10766] ALPHA_NOT_OR : ~(left_apart_point(A39_372_9, L40_372_9) | left_apart_point(A39_372_9, reverse_line(L40_372_9)))
% 293.42/42.94 -> [10767] ~left_apart_point(A39_372_9, L40_372_9), ~left_apart_point(A39_372_9, reverse_line(L40_372_9))
% 293.42/42.94
% 293.42/42.94 [10767] CLOSURE : ~left_apart_point(A39_372_9, L40_372_9)
% 293.42/42.94
% 293.42/42.94 [10644] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [10869] ~(left_apart_point(A39_380_9, L40_380_9) | left_apart_point(A39_380_9, reverse_line(L40_380_9)))
% 293.42/42.94
% 293.42/42.94 [10869] ALPHA_NOT_OR : ~(left_apart_point(A39_380_9, L40_380_9) | left_apart_point(A39_380_9, reverse_line(L40_380_9)))
% 293.42/42.94 -> [10870] ~left_apart_point(A39_380_9, L40_380_9), ~left_apart_point(A39_380_9, reverse_line(L40_380_9))
% 293.42/42.94
% 293.42/42.94 [10870] CLOSURE : ~left_apart_point(A39_380_9, L40_380_9)
% 293.42/42.94
% 293.42/42.94 [10587] 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))))
% 293.42/42.94 -> [10588] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.42/42.94 -> [10589] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.42/42.94
% 293.42/42.94 [10588] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.42/42.94
% 293.42/42.94 [10589] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [11981] ((unequally_directed_lines(skolem_N7979, M38_252_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_252_8))) => (left_convergent_lines(skolem_N7979, M38_252_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_252_8))))
% 293.42/42.94
% 293.42/42.94 [11981] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_252_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_252_8))) => (left_convergent_lines(skolem_N7979, M38_252_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_252_8))))
% 293.42/42.94 -> [11982] ~(unequally_directed_lines(skolem_N7979, M38_252_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_252_8)))
% 293.42/42.94 -> [11983] (left_convergent_lines(skolem_N7979, M38_252_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_252_8)))
% 293.42/42.94
% 293.42/42.94 [11982] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_252_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_252_8)))
% 293.42/42.94 -> [12002] ~unequally_directed_lines(skolem_N7979, M38_252_8)
% 293.42/42.94 -> [12003] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_252_8))
% 293.42/42.94
% 293.42/42.94 [12003] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_252_8))
% 293.42/42.94
% 293.42/42.94 [12002] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_252_8)
% 293.42/42.94
% 293.42/42.94 [11983] BETA_OR : (left_convergent_lines(skolem_N7979, M38_252_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_252_8)))
% 293.42/42.94 -> [11991] left_convergent_lines(skolem_N7979, M38_252_8)
% 293.42/42.94 -> [11992] left_convergent_lines(skolem_N7979, reverse_line(M38_252_8))
% 293.42/42.94
% 293.42/42.94 [11992] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [12024] ~(left_apart_point(A39_486_9, L40_486_9) | left_apart_point(A39_486_9, reverse_line(L40_486_9)))
% 293.42/42.94
% 293.42/42.94 [12024] ALPHA_NOT_OR : ~(left_apart_point(A39_486_9, L40_486_9) | left_apart_point(A39_486_9, reverse_line(L40_486_9)))
% 293.42/42.94 -> [12027] ~left_apart_point(A39_486_9, L40_486_9), ~left_apart_point(A39_486_9, reverse_line(L40_486_9))
% 293.42/42.94
% 293.42/42.94 [12027] CLOSURE : ~left_apart_point(A39_486_9, L40_486_9)
% 293.42/42.94
% 293.42/42.94 [11991] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [12067] ~(left_apart_point(A39_490_9, L40_490_9) | left_apart_point(A39_490_9, reverse_line(L40_490_9)))
% 293.42/42.94
% 293.42/42.94 [12067] ALPHA_NOT_OR : ~(left_apart_point(A39_490_9, L40_490_9) | left_apart_point(A39_490_9, reverse_line(L40_490_9)))
% 293.42/42.94 -> [12069] ~left_apart_point(A39_490_9, L40_490_9), ~left_apart_point(A39_490_9, reverse_line(L40_490_9))
% 293.42/42.94
% 293.42/42.94 [12069] CLOSURE : ~left_apart_point(A39_490_9, L40_490_9)
% 293.42/42.94
% 293.42/42.94 [9024] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_25_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_25_6)))
% 293.42/42.94 -> [9050] unequally_directed_lines(skolem_M7878, N34_25_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_25_6))
% 293.42/42.94
% 293.42/42.94 [9050] 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)))))
% 293.42/42.94 -> [10799] ((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)))))
% 293.42/42.94
% 293.42/42.94 [10799] 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)))))
% 293.42/42.94 -> [10800] ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.94 -> [10801] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))
% 293.42/42.94
% 293.42/42.94 [10800] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.94 -> [10807] ~line(skolem_L7777)
% 293.42/42.94 -> [10808] ~line(line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.94
% 293.42/42.94 [10807] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [12158] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.94
% 293.42/42.94 [12158] 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))))
% 293.42/42.94 -> [12159] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [12160] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94
% 293.42/42.94 [12159] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [12182] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94 -> [12183] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [12182] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94
% 293.42/42.94 [12183] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [12160] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [12163] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94 -> [12164] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [12164] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [12250] ~(left_apart_point(A39_506_9, L40_506_9) | left_apart_point(A39_506_9, reverse_line(L40_506_9)))
% 293.42/42.94
% 293.42/42.94 [12250] ALPHA_NOT_OR : ~(left_apart_point(A39_506_9, L40_506_9) | left_apart_point(A39_506_9, reverse_line(L40_506_9)))
% 293.42/42.94 -> [12252] ~left_apart_point(A39_506_9, L40_506_9), ~left_apart_point(A39_506_9, reverse_line(L40_506_9))
% 293.42/42.94
% 293.42/42.94 [12252] CLOSURE : ~left_apart_point(A39_506_9, L40_506_9)
% 293.42/42.94
% 293.42/42.94 [12163] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [12290] ~(left_apart_point(A39_509_9, L40_509_9) | left_apart_point(A39_509_9, reverse_line(L40_509_9)))
% 293.42/42.94
% 293.42/42.94 [12290] ALPHA_NOT_OR : ~(left_apart_point(A39_509_9, L40_509_9) | left_apart_point(A39_509_9, reverse_line(L40_509_9)))
% 293.42/42.94 -> [12291] ~left_apart_point(A39_509_9, L40_509_9), ~left_apart_point(A39_509_9, reverse_line(L40_509_9))
% 293.42/42.94
% 293.42/42.94 [12291] CLOSURE : ~left_apart_point(A39_509_9, L40_509_9)
% 293.42/42.94
% 293.42/42.94 [10808] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [11128] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.94
% 293.42/42.94 [11128] 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))))
% 293.42/42.94 -> [11129] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [11130] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94
% 293.42/42.94 [11130] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [11131] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94 -> [11132] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [11132] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [11351] ~(left_apart_point(A39_415_9, L40_415_9) | left_apart_point(A39_415_9, reverse_line(L40_415_9)))
% 293.42/42.94
% 293.42/42.94 [11351] ALPHA_NOT_OR : ~(left_apart_point(A39_415_9, L40_415_9) | left_apart_point(A39_415_9, reverse_line(L40_415_9)))
% 293.42/42.94 -> [11352] ~left_apart_point(A39_415_9, L40_415_9), ~left_apart_point(A39_415_9, reverse_line(L40_415_9))
% 293.42/42.94
% 293.42/42.94 [11352] CLOSURE : ~left_apart_point(A39_415_9, L40_415_9)
% 293.42/42.94
% 293.42/42.94 [11131] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [11349] ~(left_apart_point(A39_414_9, L40_414_9) | left_apart_point(A39_414_9, reverse_line(L40_414_9)))
% 293.42/42.94
% 293.42/42.94 [11349] ALPHA_NOT_OR : ~(left_apart_point(A39_414_9, L40_414_9) | left_apart_point(A39_414_9, reverse_line(L40_414_9)))
% 293.42/42.94 -> [11350] ~left_apart_point(A39_414_9, L40_414_9), ~left_apart_point(A39_414_9, reverse_line(L40_414_9))
% 293.42/42.94
% 293.42/42.94 [11350] CLOSURE : ~left_apart_point(A39_414_9, L40_414_9)
% 293.42/42.94
% 293.42/42.94 [11129] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [11178] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94 -> [11179] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [11178] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94
% 293.42/42.94 [11179] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [10801] 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))))
% 293.42/42.94 -> [10966] unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.94 -> [10967] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))
% 293.42/42.94
% 293.42/42.94 [10966] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 293.42/42.94
% 293.42/42.94 [10967] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [16642] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.94
% 293.42/42.94 [16642] 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))))
% 293.42/42.94 -> [16647] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [16648] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94
% 293.42/42.94 [16648] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [16652] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94 -> [16653] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [16652] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [17151] ~(left_apart_point(A39_1043_9, L40_1043_9) | left_apart_point(A39_1043_9, reverse_line(L40_1043_9)))
% 293.42/42.94
% 293.42/42.94 [17151] ALPHA_NOT_OR : ~(left_apart_point(A39_1043_9, L40_1043_9) | left_apart_point(A39_1043_9, reverse_line(L40_1043_9)))
% 293.42/42.94 -> [17155] ~left_apart_point(A39_1043_9, L40_1043_9), ~left_apart_point(A39_1043_9, reverse_line(L40_1043_9))
% 293.42/42.94
% 293.42/42.94 [17155] CLOSURE : ~left_apart_point(A39_1043_9, L40_1043_9)
% 293.42/42.94
% 293.42/42.94 [16653] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [17130] ~(left_apart_point(A39_1039_9, L40_1039_9) | left_apart_point(A39_1039_9, reverse_line(L40_1039_9)))
% 293.42/42.94
% 293.42/42.94 [17130] ALPHA_NOT_OR : ~(left_apart_point(A39_1039_9, L40_1039_9) | left_apart_point(A39_1039_9, reverse_line(L40_1039_9)))
% 293.42/42.94 -> [17135] ~left_apart_point(A39_1039_9, L40_1039_9), ~left_apart_point(A39_1039_9, reverse_line(L40_1039_9))
% 293.42/42.94
% 293.42/42.94 [17135] CLOSURE : ~left_apart_point(A39_1039_9, L40_1039_9)
% 293.42/42.94
% 293.42/42.94 [16647] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [16696] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94 -> [16697] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [16697] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [16696] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94
% 293.42/42.94 [930] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.94 -> [944] ~distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.94
% 293.42/42.94 [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))))
% 293.42/42.94 -> [978] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.94
% 293.42/42.94 [978] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 293.42/42.94 -> [981] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.94 -> [982] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.94
% 293.42/42.94 [981] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.94
% 293.42/42.94 [982] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 293.42/42.94 -> [3261] distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.94 -> [3262] distinct_points(skolem_C8282, skolem_B8181)
% 293.42/42.94
% 293.42/42.94 [3261] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 293.42/42.94
% 293.42/42.94 [3262] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.94 -> [3283] ~distinct_lines(N27_48_3, N27_48_3)
% 293.42/42.94
% 293.42/42.94 [3283] 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))))
% 293.42/42.94 -> [3286] (distinct_lines(N27_48_3, N27_48_3) => (distinct_lines(N27_48_3, N27_48_3) | distinct_lines(N27_48_3, N27_48_3)))
% 293.42/42.94
% 293.42/42.94 [3286] 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)))
% 293.42/42.94 -> [3287] ~distinct_lines(N27_48_3, N27_48_3)
% 293.42/42.94 -> [3288] (distinct_lines(N27_48_3, N27_48_3) | distinct_lines(N27_48_3, N27_48_3))
% 293.42/42.94
% 293.42/42.94 [3288] BETA_OR : (distinct_lines(N27_48_3, N27_48_3) | distinct_lines(N27_48_3, N27_48_3))
% 293.42/42.94 -> [3289] distinct_lines(N27_48_3, N27_48_3)
% 293.42/42.94 -> [3290] distinct_lines(N27_48_3, N27_48_3)
% 293.42/42.94
% 293.42/42.94 [3290] CLOSURE : distinct_lines(N27_48_3, N27_48_3)
% 293.42/42.94
% 293.42/42.94 [3289] CLOSURE : distinct_lines(N27_48_3, N27_48_3)
% 293.42/42.94
% 293.42/42.94 [3287] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.94 -> [3297] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.94
% 293.42/42.94 [3297] 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))))
% 293.42/42.94 -> [3316] (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)))
% 293.42/42.94
% 293.42/42.94 [3316] 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)))
% 293.42/42.94 -> [3317] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94 -> [3318] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [3317] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [3318] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 293.42/42.94 -> [11302] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.94 -> [11303] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 293.42/42.94
% 293.42/42.94 [11302] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.94
% 293.42/42.94 [11303] 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))))))
% 293.42/42.94 -> [19402] ((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)))))
% 293.42/42.94
% 293.42/42.94 [19402] 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)))))
% 293.42/42.94 -> [19403] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.94 -> [19404] ((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))))
% 293.42/42.94
% 293.42/42.94 [19403] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.94 -> [19427] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.94 -> [19428] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [19428] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [19427] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.94
% 293.42/42.94 [19404] 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))))
% 293.42/42.94 -> [21169] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [21170] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.94
% 293.42/42.94 [21169] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [21210] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [21210] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.94
% 293.42/42.94 [21170] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [21176] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [21176] 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)))))
% 293.42/42.94 -> [21929] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.94
% 293.42/42.94 [21929] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 293.42/42.94 -> [21932] ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.94 -> [21933] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.94
% 293.42/42.94 [21933] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [21939] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.94 -> [21940] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [21939] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 293.42/42.94
% 293.42/42.94 [21940] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [22096] ((unequally_directed_lines(skolem_N7979, M38_878_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_878_8))) => (left_convergent_lines(skolem_N7979, M38_878_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_878_8))))
% 293.42/42.94
% 293.42/42.94 [22096] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_878_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_878_8))) => (left_convergent_lines(skolem_N7979, M38_878_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_878_8))))
% 293.42/42.94 -> [22097] ~(unequally_directed_lines(skolem_N7979, M38_878_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_878_8)))
% 293.42/42.94 -> [22098] (left_convergent_lines(skolem_N7979, M38_878_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_878_8)))
% 293.42/42.94
% 293.42/42.94 [22097] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_878_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_878_8)))
% 293.42/42.94 -> [22146] ~unequally_directed_lines(skolem_N7979, M38_878_8)
% 293.42/42.94 -> [22147] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_878_8))
% 293.42/42.94
% 293.42/42.94 [22147] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_878_8))
% 293.42/42.94
% 293.42/42.94 [22146] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_878_8)
% 293.42/42.94
% 293.42/42.94 [22098] BETA_OR : (left_convergent_lines(skolem_N7979, M38_878_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_878_8)))
% 293.42/42.94 -> [22103] left_convergent_lines(skolem_N7979, M38_878_8)
% 293.42/42.94 -> [22104] left_convergent_lines(skolem_N7979, reverse_line(M38_878_8))
% 293.42/42.94
% 293.42/42.94 [22103] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [22340] ~(left_apart_point(A39_1723_9, L40_1723_9) | left_apart_point(A39_1723_9, reverse_line(L40_1723_9)))
% 293.42/42.94
% 293.42/42.94 [22340] ALPHA_NOT_OR : ~(left_apart_point(A39_1723_9, L40_1723_9) | left_apart_point(A39_1723_9, reverse_line(L40_1723_9)))
% 293.42/42.94 -> [22345] ~left_apart_point(A39_1723_9, L40_1723_9), ~left_apart_point(A39_1723_9, reverse_line(L40_1723_9))
% 293.42/42.94
% 293.42/42.94 [22345] CLOSURE : ~left_apart_point(A39_1723_9, L40_1723_9)
% 293.42/42.94
% 293.42/42.94 [22104] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [22349] ~(left_apart_point(A39_1726_9, L40_1726_9) | left_apart_point(A39_1726_9, reverse_line(L40_1726_9)))
% 293.42/42.94
% 293.42/42.94 [22349] ALPHA_NOT_OR : ~(left_apart_point(A39_1726_9, L40_1726_9) | left_apart_point(A39_1726_9, reverse_line(L40_1726_9)))
% 293.42/42.94 -> [22351] ~left_apart_point(A39_1726_9, L40_1726_9), ~left_apart_point(A39_1726_9, reverse_line(L40_1726_9))
% 293.42/42.94
% 293.42/42.94 [22351] CLOSURE : ~left_apart_point(A39_1726_9, L40_1726_9)
% 293.42/42.94
% 293.42/42.94 [21932] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 293.42/42.94 -> [21980] ~line(skolem_M7878)
% 293.42/42.94 -> [21981] ~line(skolem_M7878)
% 293.42/42.94
% 293.42/42.94 [21981] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [22416] ((unequally_directed_lines(skolem_N7979, M38_894_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_894_8))) => (left_convergent_lines(skolem_N7979, M38_894_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_894_8))))
% 293.42/42.94
% 293.42/42.94 [22416] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_894_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_894_8))) => (left_convergent_lines(skolem_N7979, M38_894_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_894_8))))
% 293.42/42.94 -> [22417] ~(unequally_directed_lines(skolem_N7979, M38_894_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_894_8)))
% 293.42/42.94 -> [22418] (left_convergent_lines(skolem_N7979, M38_894_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_894_8)))
% 293.42/42.94
% 293.42/42.94 [22418] BETA_OR : (left_convergent_lines(skolem_N7979, M38_894_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_894_8)))
% 293.42/42.94 -> [22419] left_convergent_lines(skolem_N7979, M38_894_8)
% 293.42/42.94 -> [22420] left_convergent_lines(skolem_N7979, reverse_line(M38_894_8))
% 293.42/42.94
% 293.42/42.94 [22419] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [22511] ~(left_apart_point(A39_1756_9, L40_1756_9) | left_apart_point(A39_1756_9, reverse_line(L40_1756_9)))
% 293.42/42.94
% 293.42/42.94 [22511] ALPHA_NOT_OR : ~(left_apart_point(A39_1756_9, L40_1756_9) | left_apart_point(A39_1756_9, reverse_line(L40_1756_9)))
% 293.42/42.94 -> [22512] ~left_apart_point(A39_1756_9, L40_1756_9), ~left_apart_point(A39_1756_9, reverse_line(L40_1756_9))
% 293.42/42.94
% 293.42/42.94 [22512] CLOSURE : ~left_apart_point(A39_1756_9, L40_1756_9)
% 293.42/42.94
% 293.42/42.94 [22420] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [22507] ~(left_apart_point(A39_1755_9, L40_1755_9) | left_apart_point(A39_1755_9, reverse_line(L40_1755_9)))
% 293.42/42.94
% 293.42/42.94 [22507] ALPHA_NOT_OR : ~(left_apart_point(A39_1755_9, L40_1755_9) | left_apart_point(A39_1755_9, reverse_line(L40_1755_9)))
% 293.42/42.94 -> [22510] ~left_apart_point(A39_1755_9, L40_1755_9), ~left_apart_point(A39_1755_9, reverse_line(L40_1755_9))
% 293.42/42.94
% 293.42/42.94 [22510] CLOSURE : ~left_apart_point(A39_1755_9, L40_1755_9)
% 293.42/42.94
% 293.42/42.94 [22417] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_894_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_894_8)))
% 293.42/42.94 -> [22434] ~unequally_directed_lines(skolem_N7979, M38_894_8)
% 293.42/42.94 -> [22435] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_894_8))
% 293.42/42.94
% 293.42/42.94 [22434] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_894_8)
% 293.42/42.94
% 293.42/42.94 [22435] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_894_8))
% 293.42/42.94
% 293.42/42.94 [21980] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [23800] ((unequally_directed_lines(skolem_N7979, M38_993_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_993_8))) => (left_convergent_lines(skolem_N7979, M38_993_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_993_8))))
% 293.42/42.94
% 293.42/42.94 [23800] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_993_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_993_8))) => (left_convergent_lines(skolem_N7979, M38_993_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_993_8))))
% 293.42/42.94 -> [23802] ~(unequally_directed_lines(skolem_N7979, M38_993_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_993_8)))
% 293.42/42.94 -> [23803] (left_convergent_lines(skolem_N7979, M38_993_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_993_8)))
% 293.42/42.94
% 293.42/42.94 [23803] BETA_OR : (left_convergent_lines(skolem_N7979, M38_993_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_993_8)))
% 293.42/42.94 -> [23812] left_convergent_lines(skolem_N7979, M38_993_8)
% 293.42/42.94 -> [23813] left_convergent_lines(skolem_N7979, reverse_line(M38_993_8))
% 293.42/42.94
% 293.42/42.94 [23813] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [25275] ~(left_apart_point(A39_2152_9, L40_2152_9) | left_apart_point(A39_2152_9, reverse_line(L40_2152_9)))
% 293.42/42.94
% 293.42/42.94 [25275] ALPHA_NOT_OR : ~(left_apart_point(A39_2152_9, L40_2152_9) | left_apart_point(A39_2152_9, reverse_line(L40_2152_9)))
% 293.42/42.94 -> [25277] ~left_apart_point(A39_2152_9, L40_2152_9), ~left_apart_point(A39_2152_9, reverse_line(L40_2152_9))
% 293.42/42.94
% 293.42/42.94 [25277] CLOSURE : ~left_apart_point(A39_2152_9, L40_2152_9)
% 293.42/42.94
% 293.42/42.94 [23812] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [25322] ~(left_apart_point(A39_2159_9, L40_2159_9) | left_apart_point(A39_2159_9, reverse_line(L40_2159_9)))
% 293.42/42.94
% 293.42/42.94 [25322] ALPHA_NOT_OR : ~(left_apart_point(A39_2159_9, L40_2159_9) | left_apart_point(A39_2159_9, reverse_line(L40_2159_9)))
% 293.42/42.94 -> [25323] ~left_apart_point(A39_2159_9, L40_2159_9), ~left_apart_point(A39_2159_9, reverse_line(L40_2159_9))
% 293.42/42.94
% 293.42/42.94 [25323] CLOSURE : ~left_apart_point(A39_2159_9, L40_2159_9)
% 293.42/42.94
% 293.42/42.94 [23802] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_993_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_993_8)))
% 293.42/42.94 -> [25405] ~unequally_directed_lines(skolem_N7979, M38_993_8)
% 293.42/42.94 -> [25406] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_993_8))
% 293.42/42.94
% 293.42/42.94 [25405] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_993_8)
% 293.42/42.94
% 293.42/42.94 [25406] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_993_8))
% 293.42/42.94
% 293.42/42.94 [676] 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)))
% 293.42/42.94 -> [974] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 293.42/42.94 -> [975] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [975] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.94 -> [1043] ~distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.94
% 293.42/42.94 [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))))
% 293.42/42.94 -> [1093] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.94
% 293.42/42.94 [1093] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.94 -> [1097] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.94 -> [1098] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.94
% 293.42/42.94 [1097] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.94
% 293.42/42.94 [1098] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.94 -> [3259] distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.94 -> [3260] distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.94
% 293.42/42.94 [3260] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.94
% 293.42/42.94 [3259] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.94 -> [3512] ~distinct_lines(N27_61_3, N27_61_3)
% 293.42/42.94
% 293.42/42.94 [3512] 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))))
% 293.42/42.94 -> [3564] (distinct_lines(N27_61_3, N27_61_3) => (distinct_lines(N27_61_3, N27_61_3) | distinct_lines(N27_61_3, N27_61_3)))
% 293.42/42.94
% 293.42/42.94 [3564] 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)))
% 293.42/42.94 -> [3567] ~distinct_lines(N27_61_3, N27_61_3)
% 293.42/42.94 -> [3568] (distinct_lines(N27_61_3, N27_61_3) | distinct_lines(N27_61_3, N27_61_3))
% 293.42/42.94
% 293.42/42.94 [3568] BETA_OR : (distinct_lines(N27_61_3, N27_61_3) | distinct_lines(N27_61_3, N27_61_3))
% 293.42/42.94 -> [3571] distinct_lines(N27_61_3, N27_61_3)
% 293.42/42.94 -> [3572] distinct_lines(N27_61_3, N27_61_3)
% 293.42/42.94
% 293.42/42.94 [3572] CLOSURE : distinct_lines(N27_61_3, N27_61_3)
% 293.42/42.94
% 293.42/42.94 [3571] CLOSURE : distinct_lines(N27_61_3, N27_61_3)
% 293.42/42.94
% 293.42/42.94 [3567] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.94 -> [3622] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [3622] 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))))
% 293.42/42.94 -> [3670] (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))))
% 293.42/42.94
% 293.42/42.94 [3670] 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))))
% 293.42/42.94 -> [3672] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94 -> [3673] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.94
% 293.42/42.94 [3672] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [3673] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.94 -> [5987] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94 -> [5988] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [5988] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [5987] 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))))))
% 293.42/42.94 -> [8482] ((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))))))
% 293.42/42.94
% 293.42/42.94 [8482] 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))))))
% 293.42/42.94 -> [8486] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [8487] ((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)))))
% 293.42/42.94
% 293.42/42.94 [8486] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [8557] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94 -> [8558] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [8557] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94
% 293.42/42.94 [8558] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [8487] 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)))))
% 293.42/42.94 -> [10878] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 293.42/42.94 -> [10879] (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 293.42/42.94
% 293.42/42.94 [10878] 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))))
% 293.42/42.94 -> [10894] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)), unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.42/42.94
% 293.42/42.94 [10894] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.42/42.94
% 293.42/42.94 [10879] 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))))
% 293.42/42.94 -> [10882] unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_C8282)), unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.42/42.94
% 293.42/42.94 [10882] 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)))))
% 293.42/42.94 -> [11185] ((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)))))
% 293.42/42.94
% 293.42/42.94 [11185] 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)))))
% 293.42/42.94 -> [11187] ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.94 -> [11188] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 293.42/42.94
% 293.42/42.94 [11187] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.94 -> [11277] ~line(reverse_line(skolem_N7979))
% 293.42/42.94 -> [11278] ~line(reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [11278] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [11384] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.94
% 293.42/42.94 [11384] 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))))
% 293.42/42.94 -> [11386] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [11387] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94
% 293.42/42.94 [11386] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [11456] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94 -> [11457] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [11457] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [11456] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94
% 293.42/42.94 [11387] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [11388] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94 -> [11389] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [11389] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [11744] ~(left_apart_point(A39_440_9, L40_440_9) | left_apart_point(A39_440_9, reverse_line(L40_440_9)))
% 293.42/42.94
% 293.42/42.94 [11744] ALPHA_NOT_OR : ~(left_apart_point(A39_440_9, L40_440_9) | left_apart_point(A39_440_9, reverse_line(L40_440_9)))
% 293.42/42.94 -> [11745] ~left_apart_point(A39_440_9, L40_440_9), ~left_apart_point(A39_440_9, reverse_line(L40_440_9))
% 293.42/42.94
% 293.42/42.94 [11745] CLOSURE : ~left_apart_point(A39_440_9, L40_440_9)
% 293.42/42.94
% 293.42/42.94 [11388] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [11843] ~(left_apart_point(A39_459_9, L40_459_9) | left_apart_point(A39_459_9, reverse_line(L40_459_9)))
% 293.42/42.94
% 293.42/42.94 [11843] ALPHA_NOT_OR : ~(left_apart_point(A39_459_9, L40_459_9) | left_apart_point(A39_459_9, reverse_line(L40_459_9)))
% 293.42/42.94 -> [11844] ~left_apart_point(A39_459_9, L40_459_9), ~left_apart_point(A39_459_9, reverse_line(L40_459_9))
% 293.42/42.94
% 293.42/42.94 [11844] CLOSURE : ~left_apart_point(A39_459_9, L40_459_9)
% 293.42/42.94
% 293.42/42.94 [11277] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [11445] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.94
% 293.42/42.94 [11445] 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))))
% 293.42/42.94 -> [11446] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [11447] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94
% 293.42/42.94 [11446] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [11564] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94 -> [11565] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [11565] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [11564] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94
% 293.42/42.94 [11447] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [11448] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94 -> [11449] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [11449] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [11835] ~(left_apart_point(A39_456_9, L40_456_9) | left_apart_point(A39_456_9, reverse_line(L40_456_9)))
% 293.42/42.94
% 293.42/42.94 [11835] ALPHA_NOT_OR : ~(left_apart_point(A39_456_9, L40_456_9) | left_apart_point(A39_456_9, reverse_line(L40_456_9)))
% 293.42/42.94 -> [11837] ~left_apart_point(A39_456_9, L40_456_9), ~left_apart_point(A39_456_9, reverse_line(L40_456_9))
% 293.42/42.94
% 293.42/42.94 [11837] CLOSURE : ~left_apart_point(A39_456_9, L40_456_9)
% 293.42/42.94
% 293.42/42.94 [11448] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [11950] ~(left_apart_point(A39_480_9, L40_480_9) | left_apart_point(A39_480_9, reverse_line(L40_480_9)))
% 293.42/42.94
% 293.42/42.94 [11950] ALPHA_NOT_OR : ~(left_apart_point(A39_480_9, L40_480_9) | left_apart_point(A39_480_9, reverse_line(L40_480_9)))
% 293.42/42.94 -> [11951] ~left_apart_point(A39_480_9, L40_480_9), ~left_apart_point(A39_480_9, reverse_line(L40_480_9))
% 293.42/42.94
% 293.42/42.94 [11951] CLOSURE : ~left_apart_point(A39_480_9, L40_480_9)
% 293.42/42.94
% 293.42/42.94 [11188] 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))))
% 293.42/42.94 -> [11191] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.94 -> [11192] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 293.42/42.94
% 293.42/42.94 [11191] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [11192] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [15083] ((unequally_directed_lines(skolem_M7878, M38_435_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_435_8))) => (left_convergent_lines(skolem_M7878, M38_435_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_435_8))))
% 293.42/42.94
% 293.42/42.94 [15083] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_435_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_435_8))) => (left_convergent_lines(skolem_M7878, M38_435_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_435_8))))
% 293.42/42.94 -> [15086] ~(unequally_directed_lines(skolem_M7878, M38_435_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_435_8)))
% 293.42/42.94 -> [15087] (left_convergent_lines(skolem_M7878, M38_435_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_435_8)))
% 293.42/42.94
% 293.42/42.94 [15086] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_435_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_435_8)))
% 293.42/42.94 -> [15107] ~unequally_directed_lines(skolem_M7878, M38_435_8)
% 293.42/42.94 -> [15108] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_435_8))
% 293.42/42.94
% 293.42/42.94 [15108] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_435_8))
% 293.42/42.94
% 293.42/42.94 [15107] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_435_8)
% 293.42/42.94
% 293.42/42.94 [15087] BETA_OR : (left_convergent_lines(skolem_M7878, M38_435_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_435_8)))
% 293.42/42.94 -> [15090] left_convergent_lines(skolem_M7878, M38_435_8)
% 293.42/42.94 -> [15091] left_convergent_lines(skolem_M7878, reverse_line(M38_435_8))
% 293.42/42.94
% 293.42/42.94 [15091] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [15182] ~(left_apart_point(A39_851_9, L40_851_9) | left_apart_point(A39_851_9, reverse_line(L40_851_9)))
% 293.42/42.94
% 293.42/42.94 [15182] ALPHA_NOT_OR : ~(left_apart_point(A39_851_9, L40_851_9) | left_apart_point(A39_851_9, reverse_line(L40_851_9)))
% 293.42/42.94 -> [15187] ~left_apart_point(A39_851_9, L40_851_9), ~left_apart_point(A39_851_9, reverse_line(L40_851_9))
% 293.42/42.94
% 293.42/42.94 [15187] CLOSURE : ~left_apart_point(A39_851_9, L40_851_9)
% 293.42/42.94
% 293.42/42.94 [15090] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [15204] ~(left_apart_point(A39_852_9, L40_852_9) | left_apart_point(A39_852_9, reverse_line(L40_852_9)))
% 293.42/42.94
% 293.42/42.94 [15204] ALPHA_NOT_OR : ~(left_apart_point(A39_852_9, L40_852_9) | left_apart_point(A39_852_9, reverse_line(L40_852_9)))
% 293.42/42.94 -> [15207] ~left_apart_point(A39_852_9, L40_852_9), ~left_apart_point(A39_852_9, reverse_line(L40_852_9))
% 293.42/42.94
% 293.42/42.94 [15207] CLOSURE : ~left_apart_point(A39_852_9, L40_852_9)
% 293.42/42.94
% 293.42/42.94 [974] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 293.42/42.94 -> [1051] ~distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.94
% 293.42/42.94 [1051] 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))))
% 293.42/42.94 -> [1055] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.94
% 293.42/42.94 [1055] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 293.42/42.94 -> [1056] ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.94 -> [1057] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.94
% 293.42/42.94 [1056] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.94
% 293.42/42.94 [1057] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 293.42/42.94 -> [5805] distinct_points(skolem_B8181, skolem_C8282)
% 293.42/42.94 -> [5806] distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.94
% 293.42/42.94 [5806] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 293.42/42.94
% 293.42/42.94 [5805] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 293.42/42.94 -> [7519] ~distinct_lines(N27_248_3, N27_248_3)
% 293.42/42.94
% 293.42/42.94 [7519] 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))))
% 293.42/42.94 -> [7952] (distinct_lines(N27_248_3, N27_248_3) => (distinct_lines(N27_248_3, N27_248_3) | distinct_lines(N27_248_3, N27_248_3)))
% 293.42/42.94
% 293.42/42.94 [7952] BETA_IMPLY : (distinct_lines(N27_248_3, N27_248_3) => (distinct_lines(N27_248_3, N27_248_3) | distinct_lines(N27_248_3, N27_248_3)))
% 293.42/42.94 -> [7953] ~distinct_lines(N27_248_3, N27_248_3)
% 293.42/42.94 -> [7954] (distinct_lines(N27_248_3, N27_248_3) | distinct_lines(N27_248_3, N27_248_3))
% 293.42/42.94
% 293.42/42.94 [7954] BETA_OR : (distinct_lines(N27_248_3, N27_248_3) | distinct_lines(N27_248_3, N27_248_3))
% 293.42/42.94 -> [7956] distinct_lines(N27_248_3, N27_248_3)
% 293.42/42.94 -> [7957] distinct_lines(N27_248_3, N27_248_3)
% 293.42/42.94
% 293.42/42.94 [7957] CLOSURE : distinct_lines(N27_248_3, N27_248_3)
% 293.42/42.94
% 293.42/42.94 [7956] CLOSURE : distinct_lines(N27_248_3, N27_248_3)
% 293.42/42.94
% 293.42/42.94 [7953] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 293.42/42.94 -> [8722] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [8722] 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))))
% 293.42/42.94 -> [8751] (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))))
% 293.42/42.94
% 293.42/42.94 [8751] 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))))
% 293.42/42.94 -> [8754] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94 -> [8755] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.94
% 293.42/42.94 [8754] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [8755] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 293.42/42.94 -> [11294] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94 -> [11295] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [11295] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [11294] 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))))))
% 293.42/42.94 -> [17470] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_233_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_233_6))) | (unequally_directed_lines(skolem_N7979, N34_233_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_233_6)))))
% 293.42/42.94
% 293.42/42.94 [17470] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_233_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_233_6))) | (unequally_directed_lines(skolem_N7979, N34_233_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_233_6)))))
% 293.42/42.94 -> [17472] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.94 -> [17473] ((unequally_directed_lines(skolem_M7878, N34_233_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_233_6))) | (unequally_directed_lines(skolem_N7979, N34_233_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_233_6))))
% 293.42/42.94
% 293.42/42.94 [17472] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 293.42/42.94 -> [17510] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.94 -> [17511] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [17510] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 293.42/42.94
% 293.42/42.94 [17511] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [17473] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_233_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_233_6))) | (unequally_directed_lines(skolem_N7979, N34_233_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_233_6))))
% 293.42/42.94 -> [23755] (unequally_directed_lines(skolem_M7878, N34_233_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_233_6)))
% 293.42/42.94 -> [23756] (unequally_directed_lines(skolem_N7979, N34_233_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_233_6)))
% 293.42/42.94
% 293.42/42.94 [23755] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_233_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_233_6)))
% 293.42/42.94 -> [23760] unequally_directed_lines(skolem_M7878, N34_233_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_233_6))
% 293.42/42.94
% 293.42/42.94 [23760] 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)))))
% 293.42/42.94 -> [23820] ((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)))))
% 293.42/42.94
% 293.42/42.94 [23820] 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)))))
% 293.42/42.94 -> [23821] ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.94 -> [23822] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 293.42/42.94
% 293.42/42.94 [23821] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 293.42/42.94 -> [23835] ~line(reverse_line(skolem_N7979))
% 293.42/42.94 -> [23836] ~line(reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [23835] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [25060] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.94
% 293.42/42.94 [25060] 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))))
% 293.42/42.94 -> [25062] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [25063] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94
% 293.42/42.94 [25062] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [25079] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94 -> [25080] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [25080] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [25079] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94
% 293.42/42.94 [25063] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [25071] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94 -> [25072] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [25072] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [25087] ~(left_apart_point(A39_2128_9, L40_2128_9) | left_apart_point(A39_2128_9, reverse_line(L40_2128_9)))
% 293.42/42.94
% 293.42/42.94 [25087] ALPHA_NOT_OR : ~(left_apart_point(A39_2128_9, L40_2128_9) | left_apart_point(A39_2128_9, reverse_line(L40_2128_9)))
% 293.42/42.94 -> [25091] ~left_apart_point(A39_2128_9, L40_2128_9), ~left_apart_point(A39_2128_9, reverse_line(L40_2128_9))
% 293.42/42.94
% 293.42/42.94 [25091] CLOSURE : ~left_apart_point(A39_2128_9, L40_2128_9)
% 293.42/42.94
% 293.42/42.94 [25071] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [25099] ~(left_apart_point(A39_2129_9, L40_2129_9) | left_apart_point(A39_2129_9, reverse_line(L40_2129_9)))
% 293.42/42.94
% 293.42/42.94 [25099] ALPHA_NOT_OR : ~(left_apart_point(A39_2129_9, L40_2129_9) | left_apart_point(A39_2129_9, reverse_line(L40_2129_9)))
% 293.42/42.94 -> [25103] ~left_apart_point(A39_2129_9, L40_2129_9), ~left_apart_point(A39_2129_9, reverse_line(L40_2129_9))
% 293.42/42.94
% 293.42/42.94 [25103] CLOSURE : ~left_apart_point(A39_2129_9, L40_2129_9)
% 293.42/42.94
% 293.42/42.94 [23836] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [25100] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 293.42/42.94
% 293.42/42.94 [25100] 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))))
% 293.42/42.94 -> [25101] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [25102] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94
% 293.42/42.94 [25102] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [25109] left_convergent_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94 -> [25110] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [25110] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [25184] ~(left_apart_point(A39_2130_9, L40_2130_9) | left_apart_point(A39_2130_9, reverse_line(L40_2130_9)))
% 293.42/42.94
% 293.42/42.94 [25184] ALPHA_NOT_OR : ~(left_apart_point(A39_2130_9, L40_2130_9) | left_apart_point(A39_2130_9, reverse_line(L40_2130_9)))
% 293.42/42.94 -> [25185] ~left_apart_point(A39_2130_9, L40_2130_9), ~left_apart_point(A39_2130_9, reverse_line(L40_2130_9))
% 293.42/42.94
% 293.42/42.94 [25185] CLOSURE : ~left_apart_point(A39_2130_9, L40_2130_9)
% 293.42/42.94
% 293.42/42.94 [25109] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [25216] ~(left_apart_point(A39_2134_9, L40_2134_9) | left_apart_point(A39_2134_9, reverse_line(L40_2134_9)))
% 293.42/42.94
% 293.42/42.94 [25216] ALPHA_NOT_OR : ~(left_apart_point(A39_2134_9, L40_2134_9) | left_apart_point(A39_2134_9, reverse_line(L40_2134_9)))
% 293.42/42.94 -> [25217] ~left_apart_point(A39_2134_9, L40_2134_9), ~left_apart_point(A39_2134_9, reverse_line(L40_2134_9))
% 293.42/42.94
% 293.42/42.94 [25217] CLOSURE : ~left_apart_point(A39_2134_9, L40_2134_9)
% 293.42/42.94
% 293.42/42.94 [25101] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 293.42/42.94 -> [25139] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94 -> [25140] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [25140] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 293.42/42.94
% 293.42/42.94 [25139] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 293.42/42.94
% 293.42/42.94 [23822] 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))))
% 293.42/42.94 -> [23825] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.94 -> [23826] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 293.42/42.94
% 293.42/42.94 [23825] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 293.42/42.94
% 293.42/42.94 [23826] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [26115] ((unequally_directed_lines(skolem_M7878, M38_1151_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1151_8))) => (left_convergent_lines(skolem_M7878, M38_1151_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1151_8))))
% 293.42/42.94
% 293.42/42.94 [26115] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_1151_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1151_8))) => (left_convergent_lines(skolem_M7878, M38_1151_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1151_8))))
% 293.42/42.94 -> [26118] ~(unequally_directed_lines(skolem_M7878, M38_1151_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1151_8)))
% 293.42/42.94 -> [26119] (left_convergent_lines(skolem_M7878, M38_1151_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1151_8)))
% 293.42/42.94
% 293.42/42.94 [26118] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_1151_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_1151_8)))
% 293.42/42.94 -> [26128] ~unequally_directed_lines(skolem_M7878, M38_1151_8)
% 293.42/42.94 -> [26129] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_1151_8))
% 293.42/42.94
% 293.42/42.94 [26129] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_1151_8))
% 293.42/42.94
% 293.42/42.94 [26128] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_1151_8)
% 293.42/42.94
% 293.42/42.94 [26119] BETA_OR : (left_convergent_lines(skolem_M7878, M38_1151_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_1151_8)))
% 293.42/42.94 -> [26121] left_convergent_lines(skolem_M7878, M38_1151_8)
% 293.42/42.94 -> [26122] left_convergent_lines(skolem_M7878, reverse_line(M38_1151_8))
% 293.42/42.94
% 293.42/42.94 [26122] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [26145] ~(left_apart_point(A39_2295_9, L40_2295_9) | left_apart_point(A39_2295_9, reverse_line(L40_2295_9)))
% 293.42/42.94
% 293.42/42.94 [26145] ALPHA_NOT_OR : ~(left_apart_point(A39_2295_9, L40_2295_9) | left_apart_point(A39_2295_9, reverse_line(L40_2295_9)))
% 293.42/42.94 -> [26147] ~left_apart_point(A39_2295_9, L40_2295_9), ~left_apart_point(A39_2295_9, reverse_line(L40_2295_9))
% 293.42/42.94
% 293.42/42.94 [26147] CLOSURE : ~left_apart_point(A39_2295_9, L40_2295_9)
% 293.42/42.94
% 293.42/42.94 [26121] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [26160] ~(left_apart_point(A39_2301_9, L40_2301_9) | left_apart_point(A39_2301_9, reverse_line(L40_2301_9)))
% 293.42/42.94
% 293.42/42.94 [26160] ALPHA_NOT_OR : ~(left_apart_point(A39_2301_9, L40_2301_9) | left_apart_point(A39_2301_9, reverse_line(L40_2301_9)))
% 293.42/42.94 -> [26161] ~left_apart_point(A39_2301_9, L40_2301_9), ~left_apart_point(A39_2301_9, reverse_line(L40_2301_9))
% 293.42/42.94
% 293.42/42.94 [26161] CLOSURE : ~left_apart_point(A39_2301_9, L40_2301_9)
% 293.42/42.94
% 293.42/42.94 [23756] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_233_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_233_6)))
% 293.42/42.94 -> [23757] unequally_directed_lines(skolem_N7979, N34_233_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_233_6))
% 293.42/42.94
% 293.42/42.94 [23757] 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)))))
% 293.42/42.94 -> [23801] ((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)))))
% 293.42/42.94
% 293.42/42.94 [23801] 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)))))
% 293.42/42.94 -> [23804] ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.42/42.94 -> [23805] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 293.42/42.94
% 293.42/42.94 [23804] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.42/42.94 -> [23829] ~line(skolem_L7777)
% 293.42/42.94 -> [23830] ~line(line_connecting(skolem_B8181, skolem_C8282))
% 293.42/42.94
% 293.42/42.94 [23829] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [25032] ((unequally_directed_lines(skolem_N7979, M38_1075_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1075_8))) => (left_convergent_lines(skolem_N7979, M38_1075_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1075_8))))
% 293.42/42.94
% 293.42/42.94 [25032] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1075_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1075_8))) => (left_convergent_lines(skolem_N7979, M38_1075_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1075_8))))
% 293.42/42.94 -> [25036] ~(unequally_directed_lines(skolem_N7979, M38_1075_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1075_8)))
% 293.42/42.94 -> [25037] (left_convergent_lines(skolem_N7979, M38_1075_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1075_8)))
% 293.42/42.94
% 293.42/42.94 [25036] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1075_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1075_8)))
% 293.42/42.94 -> [25051] ~unequally_directed_lines(skolem_N7979, M38_1075_8)
% 293.42/42.94 -> [25052] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1075_8))
% 293.42/42.94
% 293.42/42.94 [25052] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1075_8))
% 293.42/42.94
% 293.42/42.94 [25051] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1075_8)
% 293.42/42.94
% 293.42/42.94 [25037] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1075_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1075_8)))
% 293.42/42.94 -> [25040] left_convergent_lines(skolem_N7979, M38_1075_8)
% 293.42/42.94 -> [25041] left_convergent_lines(skolem_N7979, reverse_line(M38_1075_8))
% 293.42/42.94
% 293.42/42.94 [25041] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [25068] ~(left_apart_point(A39_2125_9, L40_2125_9) | left_apart_point(A39_2125_9, reverse_line(L40_2125_9)))
% 293.42/42.94
% 293.42/42.94 [25068] ALPHA_NOT_OR : ~(left_apart_point(A39_2125_9, L40_2125_9) | left_apart_point(A39_2125_9, reverse_line(L40_2125_9)))
% 293.42/42.94 -> [25073] ~left_apart_point(A39_2125_9, L40_2125_9), ~left_apart_point(A39_2125_9, reverse_line(L40_2125_9))
% 293.42/42.94
% 293.42/42.94 [25073] CLOSURE : ~left_apart_point(A39_2125_9, L40_2125_9)
% 293.42/42.94
% 293.42/42.94 [25040] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [25076] ~(left_apart_point(A39_2126_9, L40_2126_9) | left_apart_point(A39_2126_9, reverse_line(L40_2126_9)))
% 293.42/42.94
% 293.42/42.94 [25076] ALPHA_NOT_OR : ~(left_apart_point(A39_2126_9, L40_2126_9) | left_apart_point(A39_2126_9, reverse_line(L40_2126_9)))
% 293.42/42.94 -> [25081] ~left_apart_point(A39_2126_9, L40_2126_9), ~left_apart_point(A39_2126_9, reverse_line(L40_2126_9))
% 293.42/42.94
% 293.42/42.94 [25081] CLOSURE : ~left_apart_point(A39_2126_9, L40_2126_9)
% 293.42/42.94
% 293.42/42.94 [23830] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [25048] ((unequally_directed_lines(skolem_N7979, M38_1076_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1076_8))) => (left_convergent_lines(skolem_N7979, M38_1076_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1076_8))))
% 293.42/42.94
% 293.42/42.94 [25048] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1076_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1076_8))) => (left_convergent_lines(skolem_N7979, M38_1076_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1076_8))))
% 293.42/42.94 -> [25049] ~(unequally_directed_lines(skolem_N7979, M38_1076_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1076_8)))
% 293.42/42.94 -> [25050] (left_convergent_lines(skolem_N7979, M38_1076_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1076_8)))
% 293.42/42.94
% 293.42/42.94 [25050] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1076_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1076_8)))
% 293.42/42.94 -> [25055] left_convergent_lines(skolem_N7979, M38_1076_8)
% 293.42/42.94 -> [25056] left_convergent_lines(skolem_N7979, reverse_line(M38_1076_8))
% 293.42/42.94
% 293.42/42.94 [25056] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [25064] ~(left_apart_point(A39_2124_9, L40_2124_9) | left_apart_point(A39_2124_9, reverse_line(L40_2124_9)))
% 293.42/42.94
% 293.42/42.94 [25064] ALPHA_NOT_OR : ~(left_apart_point(A39_2124_9, L40_2124_9) | left_apart_point(A39_2124_9, reverse_line(L40_2124_9)))
% 293.42/42.94 -> [25067] ~left_apart_point(A39_2124_9, L40_2124_9), ~left_apart_point(A39_2124_9, reverse_line(L40_2124_9))
% 293.42/42.94
% 293.42/42.94 [25067] CLOSURE : ~left_apart_point(A39_2124_9, L40_2124_9)
% 293.42/42.94
% 293.42/42.94 [25055] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [25082] ~(left_apart_point(A39_2127_9, L40_2127_9) | left_apart_point(A39_2127_9, reverse_line(L40_2127_9)))
% 293.42/42.94
% 293.42/42.94 [25082] ALPHA_NOT_OR : ~(left_apart_point(A39_2127_9, L40_2127_9) | left_apart_point(A39_2127_9, reverse_line(L40_2127_9)))
% 293.42/42.94 -> [25083] ~left_apart_point(A39_2127_9, L40_2127_9), ~left_apart_point(A39_2127_9, reverse_line(L40_2127_9))
% 293.42/42.94
% 293.42/42.94 [25083] CLOSURE : ~left_apart_point(A39_2127_9, L40_2127_9)
% 293.42/42.94
% 293.42/42.94 [25049] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1076_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1076_8)))
% 293.42/42.94 -> [25074] ~unequally_directed_lines(skolem_N7979, M38_1076_8)
% 293.42/42.94 -> [25075] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1076_8))
% 293.42/42.94
% 293.42/42.94 [25075] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1076_8))
% 293.42/42.94
% 293.42/42.94 [25074] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1076_8)
% 293.42/42.94
% 293.42/42.94 [23805] 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))))
% 293.42/42.94 -> [23815] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.42/42.94 -> [23816] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))
% 293.42/42.94
% 293.42/42.94 [23815] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 293.42/42.94
% 293.42/42.94 [23816] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 293.42/42.94 -> [26559] ((unequally_directed_lines(skolem_N7979, M38_1183_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1183_8))) => (left_convergent_lines(skolem_N7979, M38_1183_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1183_8))))
% 293.42/42.94
% 293.42/42.94 [26559] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1183_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1183_8))) => (left_convergent_lines(skolem_N7979, M38_1183_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1183_8))))
% 293.42/42.94 -> [26563] ~(unequally_directed_lines(skolem_N7979, M38_1183_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1183_8)))
% 293.42/42.94 -> [26564] (left_convergent_lines(skolem_N7979, M38_1183_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1183_8)))
% 293.42/42.94
% 293.42/42.94 [26563] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1183_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1183_8)))
% 293.42/42.94 -> [26567] ~unequally_directed_lines(skolem_N7979, M38_1183_8)
% 293.42/42.94 -> [26568] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1183_8))
% 293.42/42.94
% 293.42/42.94 [26568] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1183_8))
% 293.42/42.94
% 293.42/42.94 [26567] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1183_8)
% 293.42/42.94
% 293.42/42.94 [26564] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1183_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1183_8)))
% 293.42/42.94 -> [26565] left_convergent_lines(skolem_N7979, M38_1183_8)
% 293.42/42.94 -> [26566] left_convergent_lines(skolem_N7979, reverse_line(M38_1183_8))
% 293.42/42.94
% 293.42/42.94 [26565] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [26576] ~(left_apart_point(A39_2360_9, L40_2360_9) | left_apart_point(A39_2360_9, reverse_line(L40_2360_9)))
% 293.42/42.94
% 293.42/42.94 [26576] ALPHA_NOT_OR : ~(left_apart_point(A39_2360_9, L40_2360_9) | left_apart_point(A39_2360_9, reverse_line(L40_2360_9)))
% 293.42/42.94 -> [26577] ~left_apart_point(A39_2360_9, L40_2360_9), ~left_apart_point(A39_2360_9, reverse_line(L40_2360_9))
% 293.42/42.94
% 293.42/42.94 [26577] CLOSURE : ~left_apart_point(A39_2360_9, L40_2360_9)
% 293.42/42.94
% 293.42/42.94 [26566] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 293.42/42.94 -> [26628] ~(left_apart_point(A39_2370_9, L40_2370_9) | left_apart_point(A39_2370_9, reverse_line(L40_2370_9)))
% 293.42/42.94
% 293.42/42.94 [26628] ALPHA_NOT_OR : ~(left_apart_point(A39_2370_9, L40_2370_9) | left_apart_point(A39_2370_9, reverse_line(L40_2370_9)))
% 293.42/42.94 -> [26629] ~left_apart_point(A39_2370_9, L40_2370_9), ~left_apart_point(A39_2370_9, reverse_line(L40_2370_9))
% 293.42/42.94
% 293.42/42.94 [26629] CLOSURE : ~left_apart_point(A39_2370_9, L40_2370_9)
% 293.42/42.94
% 293.42/42.94 % SZS output end Proof for theBenchmark.p
% 293.42/42.94 [42.605676s][1][Res] 509387 goroutines created
% 293.42/42.94 ==== Result ====
% 293.42/42.94 [42.605729s][1][Res] VALID
% 293.42/42.94 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------