TSTP Solution File: GEO252+3 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : GEO252+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n005.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 15:18:45 EDT 2022
% Result : Theorem 161.78s 27.65s
% Output : Proof 161.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO252+3 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : goeland -dmt -presko -proof %s
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 31 07:10:48 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 [DMT] DMT loaded with preskolemization
% 0.13/0.35 [EQ] equality loaded.
% 0.13/0.35 [0.000038s][1][MAIN] Problem : theBenchmark.p
% 0.13/0.35 Conjecture not found
% 0.13/0.35 Start search
% 0.13/0.35 nb_step : 1 - limit : 37
% 0.13/0.35 Launch Gotab with destructive = true
% 161.78/27.63 % SZS output start Proof for theBenchmark.p
% 161.78/27.65 [0] ALPHA_AND : ((! [X8_8, Y9_9] : ((unequally_directed_opposite_lines(X8_8, Y9_9) <=> unequally_directed_lines(X8_8, reverse_line(Y9_9)))) & ! [X10_10, Y11_11] : ((right_apart_point(X10_10, Y11_11) <=> left_apart_point(X10_10, reverse_line(Y11_11)))) & ! [X12_12, Y13_13] : ((right_convergent_lines(X12_12, Y13_13) <=> left_convergent_lines(X12_12, reverse_line(Y13_13)))) & ! [X14_14, Y15_15] : ((equally_directed_lines(X14_14, Y15_15) <=> ~unequally_directed_lines(X14_14, Y15_15))) & ! [X16_16, Y17_17] : ((equally_directed_opposite_lines(X16_16, Y17_17) <=> ~unequally_directed_opposite_lines(X16_16, Y17_17))) & ! [A32_32] : (~distinct_points(A32_32, A32_32)) & ! [A33_33, B34_34, C35_35] : ((distinct_points(A33_33, B34_34) => (distinct_points(A33_33, C35_35) | distinct_points(B34_34, C35_35)))) & ! [L36_36] : (~distinct_lines(L36_36, L36_36)) & ! [L37_37, M38_38, N39_39] : ((distinct_lines(L37_37, M38_38) => (distinct_lines(L37_37, N39_39) | distinct_lines(M38_38, N39_39)))) & ! [L40_40] : (equally_directed_lines(L40_40, L40_40)) & ! [L41_41, M42_42, N43_43] : ((unequally_directed_lines(L41_41, M42_42) => (unequally_directed_lines(L41_41, N43_43) | unequally_directed_lines(M42_42, N43_43)))) & ! [L44_44, M45_45, N46_46] : (((unequally_directed_lines(L44_44, M45_45) & unequally_directed_lines(L44_44, reverse_line(M45_45))) => ((unequally_directed_lines(L44_44, N46_46) & unequally_directed_lines(L44_44, reverse_line(N46_46))) | (unequally_directed_lines(M45_45, N46_46) & unequally_directed_lines(M45_45, reverse_line(N46_46)))))) & ! [L47_47, M48_48] : ((unequally_directed_lines(L47_47, M48_48) | unequally_directed_lines(L47_47, reverse_line(M48_48)))) & ! [L49_49, M50_50] : (((unequally_directed_lines(L49_49, M50_50) & unequally_directed_lines(L49_49, reverse_line(M50_50))) => (left_convergent_lines(L49_49, M50_50) | left_convergent_lines(L49_49, reverse_line(M50_50))))) & ! [A51_51, L52_52] : (~(left_apart_point(A51_51, L52_52) | left_apart_point(A51_51, reverse_line(L52_52)))) & ! [L53_53, M54_54] : (~(left_convergent_lines(L53_53, M54_54) | left_convergent_lines(L53_53, reverse_line(M54_54)))) & ! [A55_55, B56_56] : ((((point(A55_55) & point(B56_56)) & distinct_points(A55_55, B56_56)) => line(line_connecting(A55_55, B56_56)))) & ! [L57_57, M58_58] : (((((line(L57_57) & line(M58_58)) & unequally_directed_lines(L57_57, M58_58)) & unequally_directed_lines(L57_57, reverse_line(M58_58))) => point(intersection_point(L57_57, M58_58)))) & ! [L59_59, A60_60] : (((point(A60_60) & line(L59_59)) => line(parallel_through_point(L59_59, A60_60)))) & ! [L61_61] : ((line(L61_61) => line(reverse_line(L61_61)))) & ! [A62_62, B63_63] : ((distinct_points(A62_62, B63_63) => (~apart_point_and_line(A62_62, line_connecting(A62_62, B63_63)) & ~apart_point_and_line(B63_63, line_connecting(A62_62, B63_63))))) & ! [L64_64, M65_65] : (((unequally_directed_lines(L64_64, M65_65) & unequally_directed_lines(L64_64, reverse_line(M65_65))) => (~apart_point_and_line(intersection_point(L64_64, M65_65), L64_64) & ~apart_point_and_line(intersection_point(L64_64, M65_65), M65_65)))) & ! [A66_66, L67_67] : (~apart_point_and_line(A66_66, parallel_through_point(L67_67, A66_66))) & ! [L68_68] : (~distinct_lines(L68_68, reverse_line(L68_68))) & ! [A69_69, B70_70] : ((distinct_points(A69_69, B70_70) => equally_directed_lines(line_connecting(A69_69, B70_70), reverse_line(line_connecting(B70_70, A69_69))))) & ! [A71_71, L72_72] : (equally_directed_lines(parallel_through_point(L72_72, A71_71), L72_72)) & ! [A73_73, B74_74, L75_75, M76_76] : (((distinct_points(A73_73, B74_74) & distinct_lines(L75_75, M76_76)) => (((((((left_apart_point(A73_73, L75_75) | left_apart_point(B74_74, L75_75)) | left_apart_point(A73_73, M76_76)) | left_apart_point(B74_74, M76_76)) | left_apart_point(A73_73, reverse_line(L75_75))) | left_apart_point(B74_74, reverse_line(L75_75))) | left_apart_point(A73_73, reverse_line(M76_76))) | left_apart_point(B74_74, reverse_line(M76_76))))) & ! [A77_77, B78_78, L79_79] : (((distinct_points(A77_77, B78_78) & left_apart_point(A77_77, L79_79)) => (left_apart_point(B78_78, L79_79) | left_convergent_lines(line_connecting(A77_77, B78_78), L79_79)))) & ! [A80_80, B81_81, L82_82] : ((left_apart_point(A80_80, L82_82) => (distinct_points(A80_80, B81_81) | left_apart_point(B81_81, L82_82)))) & ! [A83_83, L84_84, M85_85] : (((left_apart_point(A83_83, L84_84) & unequally_directed_lines(L84_84, M85_85)) => (distinct_lines(L84_84, M85_85) | left_apart_point(A83_83, reverse_line(M85_85))))) & ! [L86_86, M87_87, N88_88] : ((left_convergent_lines(L86_86, M87_87) => (unequally_directed_lines(M87_87, N88_88) | left_convergent_lines(L86_86, N88_88))))) & ~! [A89_89, B90_90, L91_91] : (((left_apart_point(A89_89, L91_91) & right_apart_point(B90_90, L91_91)) => (distinct_points(A89_89, B90_90) & left_convergent_lines(line_connecting(A89_89, B90_90), L91_91)))))
% 161.78/27.65 -> [1] (! [X8_8, Y9_9] : ((unequally_directed_opposite_lines(X8_8, Y9_9) <=> unequally_directed_lines(X8_8, reverse_line(Y9_9)))) & ! [X10_10, Y11_11] : ((right_apart_point(X10_10, Y11_11) <=> left_apart_point(X10_10, reverse_line(Y11_11)))) & ! [X12_12, Y13_13] : ((right_convergent_lines(X12_12, Y13_13) <=> left_convergent_lines(X12_12, reverse_line(Y13_13)))) & ! [X14_14, Y15_15] : ((equally_directed_lines(X14_14, Y15_15) <=> ~unequally_directed_lines(X14_14, Y15_15))) & ! [X16_16, Y17_17] : ((equally_directed_opposite_lines(X16_16, Y17_17) <=> ~unequally_directed_opposite_lines(X16_16, Y17_17))) & ! [A32_32] : (~distinct_points(A32_32, A32_32)) & ! [A33_33, B34_34, C35_35] : ((distinct_points(A33_33, B34_34) => (distinct_points(A33_33, C35_35) | distinct_points(B34_34, C35_35)))) & ! [L36_36] : (~distinct_lines(L36_36, L36_36)) & ! [L37_37, M38_38, N39_39] : ((distinct_lines(L37_37, M38_38) => (distinct_lines(L37_37, N39_39) | distinct_lines(M38_38, N39_39)))) & ! [L40_40] : (equally_directed_lines(L40_40, L40_40)) & ! [L41_41, M42_42, N43_43] : ((unequally_directed_lines(L41_41, M42_42) => (unequally_directed_lines(L41_41, N43_43) | unequally_directed_lines(M42_42, N43_43)))) & ! [L44_44, M45_45, N46_46] : (((unequally_directed_lines(L44_44, M45_45) & unequally_directed_lines(L44_44, reverse_line(M45_45))) => ((unequally_directed_lines(L44_44, N46_46) & unequally_directed_lines(L44_44, reverse_line(N46_46))) | (unequally_directed_lines(M45_45, N46_46) & unequally_directed_lines(M45_45, reverse_line(N46_46)))))) & ! [L47_47, M48_48] : ((unequally_directed_lines(L47_47, M48_48) | unequally_directed_lines(L47_47, reverse_line(M48_48)))) & ! [L49_49, M50_50] : (((unequally_directed_lines(L49_49, M50_50) & unequally_directed_lines(L49_49, reverse_line(M50_50))) => (left_convergent_lines(L49_49, M50_50) | left_convergent_lines(L49_49, reverse_line(M50_50))))) & ! [A51_51, L52_52] : (~(left_apart_point(A51_51, L52_52) | left_apart_point(A51_51, reverse_line(L52_52)))) & ! [L53_53, M54_54] : (~(left_convergent_lines(L53_53, M54_54) | left_convergent_lines(L53_53, reverse_line(M54_54)))) & ! [A55_55, B56_56] : ((((point(A55_55) & point(B56_56)) & distinct_points(A55_55, B56_56)) => line(line_connecting(A55_55, B56_56)))) & ! [L57_57, M58_58] : (((((line(L57_57) & line(M58_58)) & unequally_directed_lines(L57_57, M58_58)) & unequally_directed_lines(L57_57, reverse_line(M58_58))) => point(intersection_point(L57_57, M58_58)))) & ! [L59_59, A60_60] : (((point(A60_60) & line(L59_59)) => line(parallel_through_point(L59_59, A60_60)))) & ! [L61_61] : ((line(L61_61) => line(reverse_line(L61_61)))) & ! [A62_62, B63_63] : ((distinct_points(A62_62, B63_63) => (~apart_point_and_line(A62_62, line_connecting(A62_62, B63_63)) & ~apart_point_and_line(B63_63, line_connecting(A62_62, B63_63))))) & ! [L64_64, M65_65] : (((unequally_directed_lines(L64_64, M65_65) & unequally_directed_lines(L64_64, reverse_line(M65_65))) => (~apart_point_and_line(intersection_point(L64_64, M65_65), L64_64) & ~apart_point_and_line(intersection_point(L64_64, M65_65), M65_65)))) & ! [A66_66, L67_67] : (~apart_point_and_line(A66_66, parallel_through_point(L67_67, A66_66))) & ! [L68_68] : (~distinct_lines(L68_68, reverse_line(L68_68))) & ! [A69_69, B70_70] : ((distinct_points(A69_69, B70_70) => equally_directed_lines(line_connecting(A69_69, B70_70), reverse_line(line_connecting(B70_70, A69_69))))) & ! [A71_71, L72_72] : (equally_directed_lines(parallel_through_point(L72_72, A71_71), L72_72)) & ! [A73_73, B74_74, L75_75, M76_76] : (((distinct_points(A73_73, B74_74) & distinct_lines(L75_75, M76_76)) => (((((((left_apart_point(A73_73, L75_75) | left_apart_point(B74_74, L75_75)) | left_apart_point(A73_73, M76_76)) | left_apart_point(B74_74, M76_76)) | left_apart_point(A73_73, reverse_line(L75_75))) | left_apart_point(B74_74, reverse_line(L75_75))) | left_apart_point(A73_73, reverse_line(M76_76))) | left_apart_point(B74_74, reverse_line(M76_76))))) & ! [A77_77, B78_78, L79_79] : (((distinct_points(A77_77, B78_78) & left_apart_point(A77_77, L79_79)) => (left_apart_point(B78_78, L79_79) | left_convergent_lines(line_connecting(A77_77, B78_78), L79_79)))) & ! [A80_80, B81_81, L82_82] : ((left_apart_point(A80_80, L82_82) => (distinct_points(A80_80, B81_81) | left_apart_point(B81_81, L82_82)))) & ! [A83_83, L84_84, M85_85] : (((left_apart_point(A83_83, L84_84) & unequally_directed_lines(L84_84, M85_85)) => (distinct_lines(L84_84, M85_85) | left_apart_point(A83_83, reverse_line(M85_85))))) & ! [L86_86, M87_87, N88_88] : ((left_convergent_lines(L86_86, M87_87) => (unequally_directed_lines(M87_87, N88_88) | left_convergent_lines(L86_86, N88_88))))), ~! [A89_89, B90_90, L91_91] : (((left_apart_point(A89_89, L91_91) & right_apart_point(B90_90, L91_91)) => (distinct_points(A89_89, B90_90) & left_convergent_lines(line_connecting(A89_89, B90_90), L91_91))))
% 161.78/27.65
% 161.78/27.65 [1] ALPHA_AND : (! [X8_8, Y9_9] : ((unequally_directed_opposite_lines(X8_8, Y9_9) <=> unequally_directed_lines(X8_8, reverse_line(Y9_9)))) & ! [X10_10, Y11_11] : ((right_apart_point(X10_10, Y11_11) <=> left_apart_point(X10_10, reverse_line(Y11_11)))) & ! [X12_12, Y13_13] : ((right_convergent_lines(X12_12, Y13_13) <=> left_convergent_lines(X12_12, reverse_line(Y13_13)))) & ! [X14_14, Y15_15] : ((equally_directed_lines(X14_14, Y15_15) <=> ~unequally_directed_lines(X14_14, Y15_15))) & ! [X16_16, Y17_17] : ((equally_directed_opposite_lines(X16_16, Y17_17) <=> ~unequally_directed_opposite_lines(X16_16, Y17_17))) & ! [A32_32] : (~distinct_points(A32_32, A32_32)) & ! [A33_33, B34_34, C35_35] : ((distinct_points(A33_33, B34_34) => (distinct_points(A33_33, C35_35) | distinct_points(B34_34, C35_35)))) & ! [L36_36] : (~distinct_lines(L36_36, L36_36)) & ! [L37_37, M38_38, N39_39] : ((distinct_lines(L37_37, M38_38) => (distinct_lines(L37_37, N39_39) | distinct_lines(M38_38, N39_39)))) & ! [L40_40] : (equally_directed_lines(L40_40, L40_40)) & ! [L41_41, M42_42, N43_43] : ((unequally_directed_lines(L41_41, M42_42) => (unequally_directed_lines(L41_41, N43_43) | unequally_directed_lines(M42_42, N43_43)))) & ! [L44_44, M45_45, N46_46] : (((unequally_directed_lines(L44_44, M45_45) & unequally_directed_lines(L44_44, reverse_line(M45_45))) => ((unequally_directed_lines(L44_44, N46_46) & unequally_directed_lines(L44_44, reverse_line(N46_46))) | (unequally_directed_lines(M45_45, N46_46) & unequally_directed_lines(M45_45, reverse_line(N46_46)))))) & ! [L47_47, M48_48] : ((unequally_directed_lines(L47_47, M48_48) | unequally_directed_lines(L47_47, reverse_line(M48_48)))) & ! [L49_49, M50_50] : (((unequally_directed_lines(L49_49, M50_50) & unequally_directed_lines(L49_49, reverse_line(M50_50))) => (left_convergent_lines(L49_49, M50_50) | left_convergent_lines(L49_49, reverse_line(M50_50))))) & ! [A51_51, L52_52] : (~(left_apart_point(A51_51, L52_52) | left_apart_point(A51_51, reverse_line(L52_52)))) & ! [L53_53, M54_54] : (~(left_convergent_lines(L53_53, M54_54) | left_convergent_lines(L53_53, reverse_line(M54_54)))) & ! [A55_55, B56_56] : ((((point(A55_55) & point(B56_56)) & distinct_points(A55_55, B56_56)) => line(line_connecting(A55_55, B56_56)))) & ! [L57_57, M58_58] : (((((line(L57_57) & line(M58_58)) & unequally_directed_lines(L57_57, M58_58)) & unequally_directed_lines(L57_57, reverse_line(M58_58))) => point(intersection_point(L57_57, M58_58)))) & ! [L59_59, A60_60] : (((point(A60_60) & line(L59_59)) => line(parallel_through_point(L59_59, A60_60)))) & ! [L61_61] : ((line(L61_61) => line(reverse_line(L61_61)))) & ! [A62_62, B63_63] : ((distinct_points(A62_62, B63_63) => (~apart_point_and_line(A62_62, line_connecting(A62_62, B63_63)) & ~apart_point_and_line(B63_63, line_connecting(A62_62, B63_63))))) & ! [L64_64, M65_65] : (((unequally_directed_lines(L64_64, M65_65) & unequally_directed_lines(L64_64, reverse_line(M65_65))) => (~apart_point_and_line(intersection_point(L64_64, M65_65), L64_64) & ~apart_point_and_line(intersection_point(L64_64, M65_65), M65_65)))) & ! [A66_66, L67_67] : (~apart_point_and_line(A66_66, parallel_through_point(L67_67, A66_66))) & ! [L68_68] : (~distinct_lines(L68_68, reverse_line(L68_68))) & ! [A69_69, B70_70] : ((distinct_points(A69_69, B70_70) => equally_directed_lines(line_connecting(A69_69, B70_70), reverse_line(line_connecting(B70_70, A69_69))))) & ! [A71_71, L72_72] : (equally_directed_lines(parallel_through_point(L72_72, A71_71), L72_72)) & ! [A73_73, B74_74, L75_75, M76_76] : (((distinct_points(A73_73, B74_74) & distinct_lines(L75_75, M76_76)) => (((((((left_apart_point(A73_73, L75_75) | left_apart_point(B74_74, L75_75)) | left_apart_point(A73_73, M76_76)) | left_apart_point(B74_74, M76_76)) | left_apart_point(A73_73, reverse_line(L75_75))) | left_apart_point(B74_74, reverse_line(L75_75))) | left_apart_point(A73_73, reverse_line(M76_76))) | left_apart_point(B74_74, reverse_line(M76_76))))) & ! [A77_77, B78_78, L79_79] : (((distinct_points(A77_77, B78_78) & left_apart_point(A77_77, L79_79)) => (left_apart_point(B78_78, L79_79) | left_convergent_lines(line_connecting(A77_77, B78_78), L79_79)))) & ! [A80_80, B81_81, L82_82] : ((left_apart_point(A80_80, L82_82) => (distinct_points(A80_80, B81_81) | left_apart_point(B81_81, L82_82)))) & ! [A83_83, L84_84, M85_85] : (((left_apart_point(A83_83, L84_84) & unequally_directed_lines(L84_84, M85_85)) => (distinct_lines(L84_84, M85_85) | left_apart_point(A83_83, reverse_line(M85_85))))) & ! [L86_86, M87_87, N88_88] : ((left_convergent_lines(L86_86, M87_87) => (unequally_directed_lines(M87_87, N88_88) | left_convergent_lines(L86_86, N88_88)))))
% 161.78/27.65 -> [2] ! [X8_8, Y9_9] : ((unequally_directed_opposite_lines(X8_8, Y9_9) <=> unequally_directed_lines(X8_8, reverse_line(Y9_9)))), ! [X10_10, Y11_11] : ((right_apart_point(X10_10, Y11_11) <=> left_apart_point(X10_10, reverse_line(Y11_11)))), ! [X12_12, Y13_13] : ((right_convergent_lines(X12_12, Y13_13) <=> left_convergent_lines(X12_12, reverse_line(Y13_13)))), ! [X14_14, Y15_15] : ((equally_directed_lines(X14_14, Y15_15) <=> ~unequally_directed_lines(X14_14, Y15_15))), ! [X16_16, Y17_17] : ((equally_directed_opposite_lines(X16_16, Y17_17) <=> ~unequally_directed_opposite_lines(X16_16, Y17_17))), ! [A32_32] : (~distinct_points(A32_32, A32_32)), ! [A33_33, B34_34, C35_35] : ((distinct_points(A33_33, B34_34) => (distinct_points(A33_33, C35_35) | distinct_points(B34_34, C35_35)))), ! [L36_36] : (~distinct_lines(L36_36, L36_36)), ! [L37_37, M38_38, N39_39] : ((distinct_lines(L37_37, M38_38) => (distinct_lines(L37_37, N39_39) | distinct_lines(M38_38, N39_39)))), ! [L40_40] : (equally_directed_lines(L40_40, L40_40)), ! [L41_41, M42_42, N43_43] : ((unequally_directed_lines(L41_41, M42_42) => (unequally_directed_lines(L41_41, N43_43) | unequally_directed_lines(M42_42, N43_43)))), ! [L44_44, M45_45, N46_46] : (((unequally_directed_lines(L44_44, M45_45) & unequally_directed_lines(L44_44, reverse_line(M45_45))) => ((unequally_directed_lines(L44_44, N46_46) & unequally_directed_lines(L44_44, reverse_line(N46_46))) | (unequally_directed_lines(M45_45, N46_46) & unequally_directed_lines(M45_45, reverse_line(N46_46)))))), ! [L47_47, M48_48] : ((unequally_directed_lines(L47_47, M48_48) | unequally_directed_lines(L47_47, reverse_line(M48_48)))), ! [L49_49, M50_50] : (((unequally_directed_lines(L49_49, M50_50) & unequally_directed_lines(L49_49, reverse_line(M50_50))) => (left_convergent_lines(L49_49, M50_50) | left_convergent_lines(L49_49, reverse_line(M50_50))))), ! [A51_51, L52_52] : (~(left_apart_point(A51_51, L52_52) | left_apart_point(A51_51, reverse_line(L52_52)))), ! [L53_53, M54_54] : (~(left_convergent_lines(L53_53, M54_54) | left_convergent_lines(L53_53, reverse_line(M54_54)))), ! [A55_55, B56_56] : ((((point(A55_55) & point(B56_56)) & distinct_points(A55_55, B56_56)) => line(line_connecting(A55_55, B56_56)))), ! [L57_57, M58_58] : (((((line(L57_57) & line(M58_58)) & unequally_directed_lines(L57_57, M58_58)) & unequally_directed_lines(L57_57, reverse_line(M58_58))) => point(intersection_point(L57_57, M58_58)))), ! [L59_59, A60_60] : (((point(A60_60) & line(L59_59)) => line(parallel_through_point(L59_59, A60_60)))), ! [L61_61] : ((line(L61_61) => line(reverse_line(L61_61)))), ! [A62_62, B63_63] : ((distinct_points(A62_62, B63_63) => (~apart_point_and_line(A62_62, line_connecting(A62_62, B63_63)) & ~apart_point_and_line(B63_63, line_connecting(A62_62, B63_63))))), ! [L64_64, M65_65] : (((unequally_directed_lines(L64_64, M65_65) & unequally_directed_lines(L64_64, reverse_line(M65_65))) => (~apart_point_and_line(intersection_point(L64_64, M65_65), L64_64) & ~apart_point_and_line(intersection_point(L64_64, M65_65), M65_65)))), ! [A66_66, L67_67] : (~apart_point_and_line(A66_66, parallel_through_point(L67_67, A66_66))), ! [L68_68] : (~distinct_lines(L68_68, reverse_line(L68_68))), ! [A69_69, B70_70] : ((distinct_points(A69_69, B70_70) => equally_directed_lines(line_connecting(A69_69, B70_70), reverse_line(line_connecting(B70_70, A69_69))))), ! [A71_71, L72_72] : (equally_directed_lines(parallel_through_point(L72_72, A71_71), L72_72)), ! [A73_73, B74_74, L75_75, M76_76] : (((distinct_points(A73_73, B74_74) & distinct_lines(L75_75, M76_76)) => (((((((left_apart_point(A73_73, L75_75) | left_apart_point(B74_74, L75_75)) | left_apart_point(A73_73, M76_76)) | left_apart_point(B74_74, M76_76)) | left_apart_point(A73_73, reverse_line(L75_75))) | left_apart_point(B74_74, reverse_line(L75_75))) | left_apart_point(A73_73, reverse_line(M76_76))) | left_apart_point(B74_74, reverse_line(M76_76))))), ! [A77_77, B78_78, L79_79] : (((distinct_points(A77_77, B78_78) & left_apart_point(A77_77, L79_79)) => (left_apart_point(B78_78, L79_79) | left_convergent_lines(line_connecting(A77_77, B78_78), L79_79)))), ! [A80_80, B81_81, L82_82] : ((left_apart_point(A80_80, L82_82) => (distinct_points(A80_80, B81_81) | left_apart_point(B81_81, L82_82)))), ! [A83_83, L84_84, M85_85] : (((left_apart_point(A83_83, L84_84) & unequally_directed_lines(L84_84, M85_85)) => (distinct_lines(L84_84, M85_85) | left_apart_point(A83_83, reverse_line(M85_85))))), ! [L86_86, M87_87, N88_88] : ((left_convergent_lines(L86_86, M87_87) => (unequally_directed_lines(M87_87, N88_88) | left_convergent_lines(L86_86, N88_88))))
% 161.78/27.65
% 161.78/27.65 [2] DELTA_NOT_FORALL : ~! [A89_89, B90_90, L91_91] : (((left_apart_point(A89_89, L91_91) & right_apart_point(B90_90, L91_91)) => (distinct_points(A89_89, B90_90) & left_convergent_lines(line_connecting(A89_89, B90_90), L91_91))))
% 161.78/27.65 -> [3] ~((left_apart_point(skolem_A8989, skolem_L9191) & right_apart_point(skolem_B9090, skolem_L9191)) => (distinct_points(skolem_A8989, skolem_B9090) & left_convergent_lines(line_connecting(skolem_A8989, skolem_B9090), skolem_L9191)))
% 161.78/27.65
% 161.78/27.65 [3] ALPHA_NOT_IMPLY : ~((left_apart_point(skolem_A8989, skolem_L9191) & right_apart_point(skolem_B9090, skolem_L9191)) => (distinct_points(skolem_A8989, skolem_B9090) & left_convergent_lines(line_connecting(skolem_A8989, skolem_B9090), skolem_L9191)))
% 161.78/27.65 -> [4] (left_apart_point(skolem_A8989, skolem_L9191) & right_apart_point(skolem_B9090, skolem_L9191)), ~(distinct_points(skolem_A8989, skolem_B9090) & left_convergent_lines(line_connecting(skolem_A8989, skolem_B9090), skolem_L9191))
% 161.78/27.65
% 161.78/27.65 [4] ALPHA_AND : (left_apart_point(skolem_A8989, skolem_L9191) & right_apart_point(skolem_B9090, skolem_L9191))
% 161.78/27.65 -> [5] left_apart_point(skolem_A8989, skolem_L9191), right_apart_point(skolem_B9090, skolem_L9191)
% 161.78/27.65
% 161.78/27.65 [5] BETA_NOT_AND : ~(distinct_points(skolem_A8989, skolem_B9090) & left_convergent_lines(line_connecting(skolem_A8989, skolem_B9090), skolem_L9191))
% 161.78/27.65 -> [6] ~distinct_points(skolem_A8989, skolem_B9090)
% 161.78/27.65 -> [7] ~left_convergent_lines(line_connecting(skolem_A8989, skolem_B9090), skolem_L9191)
% 161.78/27.65
% 161.78/27.65 [6] GAMMA_FORALL : ! [X8_8, Y9_9] : ((unequally_directed_opposite_lines(X8_8, Y9_9) <=> unequally_directed_lines(X8_8, reverse_line(Y9_9))))
% 161.78/27.65 -> [8] (unequally_directed_opposite_lines(reverse_line(Y17_14_4), Y17_14_4) <=> unequally_directed_lines(reverse_line(Y17_14_4), reverse_line(Y17_14_4)))
% 161.78/27.65
% 161.78/27.65 [8] BETA_EQUIV : (unequally_directed_opposite_lines(reverse_line(Y17_14_4), Y17_14_4) <=> unequally_directed_lines(reverse_line(Y17_14_4), reverse_line(Y17_14_4)))
% 161.78/27.65 -> [10] ~unequally_directed_opposite_lines(reverse_line(Y17_14_4), Y17_14_4), ~unequally_directed_lines(reverse_line(Y17_14_4), reverse_line(Y17_14_4))
% 161.78/27.65 -> [11] unequally_directed_opposite_lines(reverse_line(Y17_14_4), Y17_14_4), unequally_directed_lines(reverse_line(Y17_14_4), reverse_line(Y17_14_4))
% 161.78/27.65
% 161.78/27.65 [11] GAMMA_FORALL : ! [X10_10, Y11_11] : ((right_apart_point(X10_10, Y11_11) <=> left_apart_point(X10_10, reverse_line(Y11_11))))
% 161.78/27.65 -> [23] (right_apart_point(skolem_B9090, skolem_L9191) <=> left_apart_point(skolem_B9090, reverse_line(skolem_L9191)))
% 161.78/27.65
% 161.78/27.65 [23] BETA_EQUIV : (right_apart_point(skolem_B9090, skolem_L9191) <=> left_apart_point(skolem_B9090, reverse_line(skolem_L9191)))
% 161.78/27.65 -> [24] ~right_apart_point(skolem_B9090, skolem_L9191), ~left_apart_point(skolem_B9090, reverse_line(skolem_L9191))
% 161.78/27.65 -> [25] right_apart_point(skolem_B9090, skolem_L9191), left_apart_point(skolem_B9090, reverse_line(skolem_L9191))
% 161.78/27.65
% 161.78/27.65 [24] CLOSURE : ~right_apart_point(skolem_B9090, skolem_L9191)
% 161.78/27.65
% 161.78/27.65 [31] BETA_EQUIV : (right_convergent_lines(X12_3_2, Y13_3_2) <=> left_convergent_lines(X12_3_2, reverse_line(Y13_3_2)))
% 161.78/27.65 -> [855] ~right_convergent_lines(X12_3_2, Y13_3_2), ~left_convergent_lines(X12_3_2, reverse_line(Y13_3_2))
% 161.78/27.65 -> [856] right_convergent_lines(X12_3_2, Y13_3_2), left_convergent_lines(X12_3_2, reverse_line(Y13_3_2))
% 161.78/27.65
% 161.78/27.65 [855] GAMMA_FORALL : ! [X14_14, Y15_15] : ((equally_directed_lines(X14_14, Y15_15) <=> ~unequally_directed_lines(X14_14, Y15_15)))
% 161.78/27.65 -> [857] (equally_directed_lines(reverse_line(Y17_14_4), reverse_line(Y17_14_4)) <=> ~unequally_directed_lines(reverse_line(Y17_14_4), reverse_line(Y17_14_4)))
% 161.78/27.65
% 161.78/27.65 [857] BETA_EQUIV : (equally_directed_lines(reverse_line(Y17_14_4), reverse_line(Y17_14_4)) <=> ~unequally_directed_lines(reverse_line(Y17_14_4), reverse_line(Y17_14_4)))
% 161.78/27.65 -> [858] ~equally_directed_lines(reverse_line(Y17_14_4), reverse_line(Y17_14_4)), ~~unequally_directed_lines(reverse_line(Y17_14_4), reverse_line(Y17_14_4))
% 161.78/27.65 -> [859] equally_directed_lines(reverse_line(Y17_14_4), reverse_line(Y17_14_4)), ~unequally_directed_lines(reverse_line(Y17_14_4), reverse_line(Y17_14_4))
% 161.78/27.65
% 161.78/27.65 [858] ALPHA_NOT_NOT : ~~unequally_directed_lines(reverse_line(Y17_14_4), reverse_line(Y17_14_4))
% 161.78/27.65 -> [869] unequally_directed_lines(reverse_line(Y17_14_4), reverse_line(Y17_14_4))
% 161.78/27.65
% 161.78/27.65 [869] GAMMA_FORALL : ! [X16_16, Y17_17] : ((equally_directed_opposite_lines(X16_16, Y17_17) <=> ~unequally_directed_opposite_lines(X16_16, Y17_17)))
% 161.78/27.65 -> [881] (equally_directed_opposite_lines(X16_11_4, Y17_11_4) <=> ~unequally_directed_opposite_lines(X16_11_4, Y17_11_4))
% 161.78/27.65
% 161.78/27.65 [881] BETA_EQUIV : (equally_directed_opposite_lines(X16_11_4, Y17_11_4) <=> ~unequally_directed_opposite_lines(X16_11_4, Y17_11_4))
% 161.78/27.65 -> [882] ~equally_directed_opposite_lines(X16_11_4, Y17_11_4), ~~unequally_directed_opposite_lines(X16_11_4, Y17_11_4)
% 161.78/27.65 -> [883] equally_directed_opposite_lines(X16_11_4, Y17_11_4), ~unequally_directed_opposite_lines(X16_11_4, Y17_11_4)
% 161.78/27.65
% 161.78/27.65 [883] CLOSURE : ~unequally_directed_opposite_lines(X16_11_4, Y17_11_4)
% 161.78/27.65
% 161.78/27.65 [900] BETA_IMPLY : (distinct_points(skolem_B9090, skolem_A8989) => (distinct_points(skolem_B9090, skolem_B9090) | distinct_points(skolem_A8989, skolem_B9090)))
% 161.78/27.65 -> [1081] ~distinct_points(skolem_B9090, skolem_A8989)
% 161.78/27.65 -> [1082] (distinct_points(skolem_B9090, skolem_B9090) | distinct_points(skolem_A8989, skolem_B9090))
% 161.78/27.65
% 161.78/27.65 [1082] BETA_OR : (distinct_points(skolem_B9090, skolem_B9090) | distinct_points(skolem_B9090, skolem_B9090))
% 161.78/27.65 -> [1090] distinct_points(skolem_B9090, skolem_B9090)
% 161.78/27.65 -> [1091] distinct_points(skolem_B9090, skolem_B9090)
% 161.78/27.65
% 161.78/27.65 [1090] CLOSURE : distinct_points(skolem_B9090, skolem_B9090)
% 161.78/27.65
% 161.78/27.65 [1091] CLOSURE : distinct_points(skolem_B9090, skolem_B9090)
% 161.78/27.65
% 161.78/27.65 [1096] BETA_IMPLY : (distinct_lines(N39_23_8, N39_23_8) => (distinct_lines(N39_23_8, N39_23_8) | distinct_lines(N39_23_8, N39_23_8)))
% 161.78/27.65 -> [1140] ~distinct_lines(N39_23_8, N39_23_8)
% 161.78/27.65 -> [1141] (distinct_lines(N39_23_8, N39_23_8) | distinct_lines(N39_23_8, N39_23_8))
% 161.78/27.65
% 161.78/27.65 [1141] BETA_OR : (distinct_lines(N39_23_8, N39_23_8) | distinct_lines(N39_23_8, N39_23_8))
% 161.78/27.65 -> [1142] distinct_lines(N39_23_8, N39_23_8)
% 161.78/27.65 -> [1143] distinct_lines(N39_23_8, N39_23_8)
% 161.78/27.65
% 161.78/27.65 [1142] CLOSURE : distinct_lines(N39_23_8, N39_23_8)
% 161.78/27.65
% 161.78/27.65 [1143] CLOSURE : distinct_lines(N39_23_8, N39_23_8)
% 161.78/27.65
% 161.78/27.65 [1150] CLOSURE : equally_directed_lines(L40_45_9, L40_45_9)
% 161.78/27.65
% 161.78/27.65 [859] CLOSURE : ~unequally_directed_lines(reverse_line(Y17_14_4), reverse_line(Y17_14_4))
% 161.78/27.65
% 161.78/27.65 [860] BETA_EQUIV : (equally_directed_lines(reverse_line(Y17_14_4), reverse_line(Y17_14_4)) <=> ~unequally_directed_lines(reverse_line(Y17_14_4), reverse_line(Y17_14_4)))
% 161.78/27.65 -> [1460] ~equally_directed_lines(reverse_line(Y17_14_4), reverse_line(Y17_14_4)), ~~unequally_directed_lines(reverse_line(Y17_14_4), reverse_line(Y17_14_4))
% 161.78/27.65 -> [1461] equally_directed_lines(reverse_line(Y17_14_4), reverse_line(Y17_14_4)), ~unequally_directed_lines(reverse_line(Y17_14_4), reverse_line(Y17_14_4))
% 161.78/27.65
% 161.78/27.65 [1461] CLOSURE : ~unequally_directed_lines(reverse_line(Y17_14_4), reverse_line(Y17_14_4))
% 161.78/27.65
% 161.78/27.65 [1473] BETA_EQUIV : (equally_directed_opposite_lines(reverse_line(Y17_14_4), Y17_14_4) <=> ~unequally_directed_opposite_lines(reverse_line(Y17_14_4), Y17_14_4))
% 161.78/27.65 -> [1588] ~equally_directed_opposite_lines(reverse_line(Y17_14_4), Y17_14_4), ~~unequally_directed_opposite_lines(reverse_line(Y17_14_4), Y17_14_4)
% 161.78/27.65 -> [1589] equally_directed_opposite_lines(reverse_line(Y17_14_4), Y17_14_4), ~unequally_directed_opposite_lines(reverse_line(Y17_14_4), Y17_14_4)
% 161.78/27.65
% 161.78/27.65 [1589] CLOSURE : ~unequally_directed_opposite_lines(reverse_line(Y17_14_4), Y17_14_4)
% 161.78/27.65
% 161.78/27.65 [1588] ALPHA_NOT_NOT : ~~unequally_directed_opposite_lines(reverse_line(Y17_14_4), Y17_14_4)
% 161.78/27.65 -> [1596] unequally_directed_opposite_lines(reverse_line(Y17_14_4), Y17_14_4)
% 161.78/27.65
% 161.78/27.65 [1596] GAMMA_FORALL : ! [A32_32] : (~distinct_points(A32_32, A32_32))
% 161.78/27.65 -> [1616] ~distinct_points(B34_22_6, B34_22_6)
% 161.78/27.65
% 161.78/27.65 [1616] GAMMA_FORALL : ! [A33_33, B34_34, C35_35] : ((distinct_points(A33_33, B34_34) => (distinct_points(A33_33, C35_35) | distinct_points(B34_34, C35_35))))
% 161.78/27.65 -> [1632] (distinct_points(B34_22_6, B34_22_6) => (distinct_points(B34_22_6, B34_22_6) | distinct_points(B34_22_6, B34_22_6)))
% 161.78/27.65
% 161.78/27.65 [1632] BETA_IMPLY : (distinct_points(B34_22_6, B34_22_6) => (distinct_points(B34_22_6, B34_22_6) | distinct_points(B34_22_6, B34_22_6)))
% 161.78/27.65 -> [1633] ~distinct_points(B34_22_6, B34_22_6)
% 161.78/27.65 -> [1634] (distinct_points(B34_22_6, B34_22_6) | distinct_points(B34_22_6, B34_22_6))
% 161.78/27.65
% 161.78/27.65 [1634] BETA_OR : (distinct_points(B34_22_6, B34_22_6) | distinct_points(B34_22_6, B34_22_6))
% 161.78/27.65 -> [1635] distinct_points(B34_22_6, B34_22_6)
% 161.78/27.65 -> [1636] distinct_points(B34_22_6, B34_22_6)
% 161.78/27.65
% 161.78/27.65 [1635] CLOSURE : distinct_points(B34_22_6, B34_22_6)
% 161.78/27.65
% 161.78/27.65 [1636] CLOSURE : distinct_points(B34_22_6, B34_22_6)
% 161.78/27.65
% 161.78/27.65 [1633] GAMMA_FORALL : ! [L36_36] : (~distinct_lines(L36_36, L36_36))
% 161.78/27.65 -> [1643] ~distinct_lines(N39_34_8, N39_34_8)
% 161.78/27.65
% 161.78/27.65 [1643] GAMMA_FORALL : ! [L37_37, M38_38, N39_39] : ((distinct_lines(L37_37, M38_38) => (distinct_lines(L37_37, N39_39) | distinct_lines(M38_38, N39_39))))
% 161.78/27.65 -> [1654] (distinct_lines(N39_34_8, N39_34_8) => (distinct_lines(N39_34_8, N39_34_8) | distinct_lines(N39_34_8, N39_34_8)))
% 161.78/27.65
% 161.78/27.65 [1654] BETA_IMPLY : (distinct_lines(N39_34_8, N39_34_8) => (distinct_lines(N39_34_8, N39_34_8) | distinct_lines(N39_34_8, N39_34_8)))
% 161.78/27.65 -> [1655] ~distinct_lines(N39_34_8, N39_34_8)
% 161.78/27.65 -> [1656] (distinct_lines(N39_34_8, N39_34_8) | distinct_lines(N39_34_8, N39_34_8))
% 161.78/27.65
% 161.78/27.65 [1655] GAMMA_FORALL : ! [L40_40] : (equally_directed_lines(L40_40, L40_40))
% 161.78/27.65 -> [1669] equally_directed_lines(L40_59_9, L40_59_9)
% 161.78/27.65
% 161.78/27.65 [1669] CLOSURE : equally_directed_lines(L40_59_9, L40_59_9)
% 161.78/27.65
% 161.78/27.65 [1656] BETA_OR : (distinct_lines(N39_34_8, N39_34_8) | distinct_lines(N39_34_8, N39_34_8))
% 161.78/27.65 -> [1661] distinct_lines(N39_34_8, N39_34_8)
% 161.78/27.65 -> [1662] distinct_lines(N39_34_8, N39_34_8)
% 161.78/27.65
% 161.78/27.65 [1662] CLOSURE : distinct_lines(N39_34_8, N39_34_8)
% 161.78/27.65
% 161.78/27.65 [1661] CLOSURE : distinct_lines(N39_34_8, N39_34_8)
% 161.78/27.65
% 161.78/27.65 [14] BETA_EQUIV : (right_apart_point(skolem_B9090, skolem_L9191) <=> left_apart_point(skolem_B9090, reverse_line(skolem_L9191)))
% 161.78/27.65 -> [7564] ~right_apart_point(skolem_B9090, skolem_L9191), ~left_apart_point(skolem_B9090, reverse_line(skolem_L9191))
% 161.78/27.65 -> [7565] right_apart_point(skolem_B9090, skolem_L9191), left_apart_point(skolem_B9090, reverse_line(skolem_L9191))
% 161.78/27.65
% 161.78/27.65 [7564] CLOSURE : ~right_apart_point(skolem_B9090, skolem_L9191)
% 161.78/27.65
% 161.78/27.65 [7565] GAMMA_FORALL : ! [X12_12, Y13_13] : ((right_convergent_lines(X12_12, Y13_13) <=> left_convergent_lines(X12_12, reverse_line(Y13_13))))
% 161.78/27.65 -> [7566] (right_convergent_lines(reverse_line(Y17_26_4), reverse_line(Y17_26_4)) <=> left_convergent_lines(reverse_line(Y17_26_4), reverse_line(reverse_line(Y17_26_4))))
% 161.78/27.65
% 161.78/27.65 [7566] BETA_EQUIV : (right_convergent_lines(reverse_line(Y17_26_4), reverse_line(Y17_26_4)) <=> left_convergent_lines(reverse_line(Y17_26_4), reverse_line(reverse_line(Y17_26_4))))
% 161.78/27.65 -> [7567] ~right_convergent_lines(reverse_line(Y17_26_4), reverse_line(Y17_26_4)), ~left_convergent_lines(reverse_line(Y17_26_4), reverse_line(reverse_line(Y17_26_4)))
% 161.78/27.65 -> [7568] right_convergent_lines(reverse_line(Y17_26_4), reverse_line(Y17_26_4)), left_convergent_lines(reverse_line(Y17_26_4), reverse_line(reverse_line(Y17_26_4)))
% 161.78/27.65
% 161.78/27.65 [7568] GAMMA_FORALL : ! [X14_14, Y15_15] : ((equally_directed_lines(X14_14, Y15_15) <=> ~unequally_directed_lines(X14_14, Y15_15)))
% 161.78/27.65 -> [7570] (equally_directed_lines(reverse_line(Y17_27_4), reverse_line(Y17_27_4)) <=> ~unequally_directed_lines(reverse_line(Y17_27_4), reverse_line(Y17_27_4)))
% 161.78/27.65
% 161.78/27.65 [7570] BETA_EQUIV : (equally_directed_lines(reverse_line(Y17_27_4), reverse_line(Y17_27_4)) <=> ~unequally_directed_lines(reverse_line(Y17_27_4), reverse_line(Y17_27_4)))
% 161.78/27.65 -> [7575] ~equally_directed_lines(reverse_line(Y17_27_4), reverse_line(Y17_27_4)), ~~unequally_directed_lines(reverse_line(Y17_27_4), reverse_line(Y17_27_4))
% 161.78/27.65 -> [7576] equally_directed_lines(reverse_line(Y17_27_4), reverse_line(Y17_27_4)), ~unequally_directed_lines(reverse_line(Y17_27_4), reverse_line(Y17_27_4))
% 161.78/27.65
% 161.78/27.65 [7575] ALPHA_NOT_NOT : ~~unequally_directed_lines(reverse_line(Y17_27_4), reverse_line(Y17_27_4))
% 161.78/27.65 -> [7578] unequally_directed_lines(reverse_line(Y17_27_4), reverse_line(Y17_27_4))
% 161.78/27.65
% 161.78/27.65 [7578] CLOSURE : unequally_directed_lines(reverse_line(Y17_27_4), reverse_line(Y17_27_4))
% 161.78/27.65
% 161.78/27.65 [7584] BETA_EQUIV : (equally_directed_opposite_lines(reverse_line(Y17_27_4), Y17_27_4) <=> ~unequally_directed_opposite_lines(reverse_line(Y17_27_4), Y17_27_4))
% 161.78/27.65 -> [9302] ~equally_directed_opposite_lines(reverse_line(Y17_27_4), Y17_27_4), ~~unequally_directed_opposite_lines(reverse_line(Y17_27_4), Y17_27_4)
% 161.78/27.65 -> [9303] equally_directed_opposite_lines(reverse_line(Y17_27_4), Y17_27_4), ~unequally_directed_opposite_lines(reverse_line(Y17_27_4), Y17_27_4)
% 161.78/27.65
% 161.78/27.65 [9302] ALPHA_NOT_NOT : ~~unequally_directed_opposite_lines(reverse_line(Y17_27_4), Y17_27_4)
% 161.78/27.65 -> [9304] unequally_directed_opposite_lines(reverse_line(Y17_27_4), Y17_27_4)
% 161.78/27.65
% 161.78/27.65 [9304] CLOSURE : unequally_directed_opposite_lines(reverse_line(Y17_27_4), Y17_27_4)
% 161.78/27.65
% 161.78/27.65 [9303] GAMMA_FORALL : ! [A32_32] : (~distinct_points(A32_32, A32_32))
% 161.78/27.65 -> [9307] ~distinct_points(skolem_B9090, skolem_B9090)
% 161.78/27.65
% 161.78/27.65 [9307] GAMMA_FORALL : ! [A33_33, B34_34, C35_35] : ((distinct_points(A33_33, B34_34) => (distinct_points(A33_33, C35_35) | distinct_points(B34_34, C35_35))))
% 161.78/27.65 -> [9314] (distinct_points(skolem_B9090, skolem_A8989) => (distinct_points(skolem_B9090, skolem_B9090) | distinct_points(skolem_A8989, skolem_B9090)))
% 161.78/27.65
% 161.78/27.65 [9314] BETA_IMPLY : (distinct_points(skolem_B9090, skolem_A8989) => (distinct_points(skolem_B9090, skolem_B9090) | distinct_points(skolem_A8989, skolem_B9090)))
% 161.78/27.65 -> [9315] ~distinct_points(skolem_B9090, skolem_A8989)
% 161.78/27.65 -> [9316] (distinct_points(skolem_B9090, skolem_B9090) | distinct_points(skolem_A8989, skolem_B9090))
% 161.78/27.65
% 161.78/27.65 [9316] BETA_OR : (distinct_points(skolem_B9090, skolem_B9090) | distinct_points(skolem_A8989, skolem_B9090))
% 161.78/27.65 -> [9317] distinct_points(skolem_B9090, skolem_B9090)
% 161.78/27.65 -> [9318] distinct_points(skolem_A8989, skolem_B9090)
% 161.78/27.65
% 161.78/27.65 [9317] CLOSURE : distinct_points(skolem_B9090, skolem_B9090)
% 161.78/27.65
% 161.78/27.65 [9318] CLOSURE : distinct_points(skolem_A8989, skolem_B9090)
% 161.78/27.65
% 161.78/27.65 [9315] GAMMA_FORALL : ! [L36_36] : (~distinct_lines(L36_36, L36_36))
% 161.78/27.65 -> [9319] ~distinct_lines(N39_69_8, N39_69_8)
% 161.78/27.65
% 161.78/27.65 [9319] GAMMA_FORALL : ! [L37_37, M38_38, N39_39] : ((distinct_lines(L37_37, M38_38) => (distinct_lines(L37_37, N39_39) | distinct_lines(M38_38, N39_39))))
% 161.78/27.65 -> [9320] (distinct_lines(N39_69_8, N39_69_8) => (distinct_lines(N39_69_8, N39_69_8) | distinct_lines(N39_69_8, N39_69_8)))
% 161.78/27.65
% 161.78/27.65 [9320] BETA_IMPLY : (distinct_lines(N39_69_8, N39_69_8) => (distinct_lines(N39_69_8, N39_69_8) | distinct_lines(N39_69_8, N39_69_8)))
% 161.78/27.65 -> [9321] ~distinct_lines(N39_69_8, N39_69_8)
% 161.78/27.65 -> [9322] (distinct_lines(N39_69_8, N39_69_8) | distinct_lines(N39_69_8, N39_69_8))
% 161.78/27.65
% 161.78/27.65 [9322] BETA_OR : (distinct_lines(N39_69_8, N39_69_8) | distinct_lines(N39_69_8, N39_69_8))
% 161.78/27.65 -> [9323] distinct_lines(N39_69_8, N39_69_8)
% 161.78/27.65 -> [9324] distinct_lines(N39_69_8, N39_69_8)
% 161.78/27.65
% 161.78/27.65 [9323] CLOSURE : distinct_lines(N39_69_8, N39_69_8)
% 161.78/27.65
% 161.78/27.65 [9324] CLOSURE : distinct_lines(N39_69_8, N39_69_8)
% 161.78/27.65
% 161.78/27.65 [9321] GAMMA_FORALL : ! [L40_40] : (equally_directed_lines(L40_40, L40_40))
% 161.78/27.65 -> [9325] equally_directed_lines(L40_122_9, L40_122_9)
% 161.78/27.65
% 161.78/27.65 [9325] GAMMA_FORALL : ! [L41_41, M42_42, N43_43] : ((unequally_directed_lines(L41_41, M42_42) => (unequally_directed_lines(L41_41, N43_43) | unequally_directed_lines(M42_42, N43_43))))
% 161.78/27.65 -> [9330] (unequally_directed_lines(reverse_line(N46_150_11), reverse_line(N46_150_11)) => (unequally_directed_lines(reverse_line(N46_150_11), reverse_line(N46_150_11)) | unequally_directed_lines(reverse_line(N46_150_11), reverse_line(N46_150_11))))
% 161.78/27.65
% 161.78/27.65 [9330] BETA_IMPLY : (unequally_directed_lines(reverse_line(N46_150_11), reverse_line(N46_150_11)) => (unequally_directed_lines(reverse_line(N46_150_11), reverse_line(N46_150_11)) | unequally_directed_lines(reverse_line(N46_150_11), reverse_line(N46_150_11))))
% 161.78/27.65 -> [9335] ~unequally_directed_lines(reverse_line(N46_150_11), reverse_line(N46_150_11))
% 161.78/27.65 -> [9336] (unequally_directed_lines(reverse_line(N46_150_11), reverse_line(N46_150_11)) | unequally_directed_lines(reverse_line(N46_150_11), reverse_line(N46_150_11)))
% 161.78/27.65
% 161.78/27.65 [9336] BETA_OR : (unequally_directed_lines(reverse_line(N46_150_11), reverse_line(N46_150_11)) | unequally_directed_lines(reverse_line(N46_150_11), reverse_line(N46_150_11)))
% 161.78/27.65 -> [9337] unequally_directed_lines(reverse_line(N46_150_11), reverse_line(N46_150_11))
% 161.78/27.65 -> [9338] unequally_directed_lines(reverse_line(N46_150_11), reverse_line(N46_150_11))
% 161.78/27.65
% 161.78/27.65 [9338] CLOSURE : unequally_directed_lines(reverse_line(N46_150_11), reverse_line(N46_150_11))
% 161.78/27.65
% 161.78/27.65 [9337] CLOSURE : unequally_directed_lines(reverse_line(N46_150_11), reverse_line(N46_150_11))
% 161.78/27.65
% 161.78/27.65 [9339] BETA_IMPLY : ((unequally_directed_lines(reverse_line(N46_150_11), reverse_line(N46_150_11)) & unequally_directed_lines(reverse_line(N46_150_11), reverse_line(reverse_line(N46_150_11)))) => ((unequally_directed_lines(reverse_line(N46_150_11), N46_150_11) & unequally_directed_lines(reverse_line(N46_150_11), reverse_line(N46_150_11))) | (unequally_directed_lines(reverse_line(N46_150_11), N46_150_11) & unequally_directed_lines(reverse_line(N46_150_11), reverse_line(N46_150_11)))))
% 161.78/27.65 -> [9415] ~(unequally_directed_lines(reverse_line(N46_150_11), reverse_line(N46_150_11)) & unequally_directed_lines(reverse_line(N46_150_11), reverse_line(reverse_line(N46_150_11))))
% 161.78/27.65 -> [9416] ((unequally_directed_lines(reverse_line(N46_150_11), N46_150_11) & unequally_directed_lines(reverse_line(N46_150_11), reverse_line(N46_150_11))) | (unequally_directed_lines(reverse_line(N46_150_11), N46_150_11) & unequally_directed_lines(reverse_line(N46_150_11), reverse_line(N46_150_11))))
% 161.78/27.65
% 161.78/27.65 [9416] BETA_OR : ((unequally_directed_lines(reverse_line(N46_150_11), N46_150_11) & unequally_directed_lines(reverse_line(N46_150_11), reverse_line(N46_150_11))) | (unequally_directed_lines(reverse_line(N46_150_11), N46_150_11) & unequally_directed_lines(reverse_line(N46_150_11), reverse_line(N46_150_11))))
% 161.78/27.65 -> [9419] (unequally_directed_lines(reverse_line(N46_150_11), N46_150_11) & unequally_directed_lines(reverse_line(N46_150_11), reverse_line(N46_150_11)))
% 161.78/27.65 -> [9420] (unequally_directed_lines(reverse_line(N46_150_11), N46_150_11) & unequally_directed_lines(reverse_line(N46_150_11), reverse_line(N46_150_11)))
% 161.78/27.65
% 161.78/27.65 [9419] ALPHA_AND : (unequally_directed_lines(reverse_line(N46_150_11), N46_150_11) & unequally_directed_lines(reverse_line(N46_150_11), reverse_line(N46_150_11)))
% 161.78/27.65 -> [9421] unequally_directed_lines(reverse_line(N46_150_11), N46_150_11), unequally_directed_lines(reverse_line(N46_150_11), reverse_line(N46_150_11))
% 161.78/27.65
% 161.78/27.65 [9421] CLOSURE : unequally_directed_lines(reverse_line(N46_150_11), reverse_line(N46_150_11))
% 161.78/27.65
% 161.78/27.65 [9422] CLOSURE : unequally_directed_lines(reverse_line(N46_150_11), reverse_line(N46_150_11))
% 161.78/27.65
% 161.78/27.65 [9415] BETA_NOT_AND : ~(unequally_directed_lines(reverse_line(N46_150_11), reverse_line(N46_150_11)) & unequally_directed_lines(reverse_line(N46_150_11), reverse_line(reverse_line(N46_150_11))))
% 161.78/27.65 -> [9491] ~unequally_directed_lines(reverse_line(N46_150_11), reverse_line(N46_150_11))
% 161.78/27.65 -> [9492] ~unequally_directed_lines(reverse_line(N46_150_11), reverse_line(reverse_line(N46_150_11)))
% 161.78/27.65
% 161.78/27.65 [9492] GAMMA_FORALL : ! [L47_47, M48_48] : ((unequally_directed_lines(L47_47, M48_48) | unequally_directed_lines(L47_47, reverse_line(M48_48))))
% 161.78/27.65 -> [9505] (unequally_directed_lines(reverse_line(N46_150_11), reverse_line(N46_150_11)) | unequally_directed_lines(reverse_line(N46_150_11), reverse_line(reverse_line(N46_150_11))))
% 161.78/27.65
% 161.78/27.65 [9505] BETA_OR : (unequally_directed_lines(reverse_line(N46_150_11), reverse_line(N46_150_11)) | unequally_directed_lines(reverse_line(N46_150_11), reverse_line(reverse_line(N46_150_11))))
% 161.78/27.65 -> [9506] unequally_directed_lines(reverse_line(N46_150_11), reverse_line(N46_150_11))
% 161.78/27.65 -> [9507] unequally_directed_lines(reverse_line(N46_150_11), reverse_line(reverse_line(N46_150_11)))
% 161.78/27.65
% 161.78/27.65 [9506] CLOSURE : unequally_directed_lines(reverse_line(N46_150_11), reverse_line(N46_150_11))
% 161.78/27.65
% 161.78/27.65 [9507] CLOSURE : unequally_directed_lines(reverse_line(N46_150_11), reverse_line(reverse_line(N46_150_11)))
% 161.78/27.65
% 161.78/27.65 [9491] GAMMA_FORALL : ! [L47_47, M48_48] : ((unequally_directed_lines(L47_47, M48_48) | unequally_directed_lines(L47_47, reverse_line(M48_48))))
% 161.78/27.65 -> [9508] (unequally_directed_lines(reverse_line(N46_150_11), reverse_line(N46_150_11)) | unequally_directed_lines(reverse_line(N46_150_11), reverse_line(reverse_line(N46_150_11))))
% 161.78/27.65
% 161.78/27.65 [9508] BETA_OR : (unequally_directed_lines(reverse_line(N46_150_11), reverse_line(N46_150_11)) | unequally_directed_lines(reverse_line(N46_150_11), reverse_line(reverse_line(N46_150_11))))
% 161.78/27.65 -> [9511] unequally_directed_lines(reverse_line(N46_150_11), reverse_line(N46_150_11))
% 161.78/27.65 -> [9512] unequally_directed_lines(reverse_line(N46_150_11), reverse_line(reverse_line(N46_150_11)))
% 161.78/27.65
% 161.78/27.65 [9511] CLOSURE : unequally_directed_lines(reverse_line(N46_150_11), reverse_line(N46_150_11))
% 161.78/27.65
% 161.78/27.65 [9512] GAMMA_FORALL : ! [L49_49, M50_50] : (((unequally_directed_lines(L49_49, M50_50) & unequally_directed_lines(L49_49, reverse_line(M50_50))) => (left_convergent_lines(L49_49, M50_50) | left_convergent_lines(L49_49, reverse_line(M50_50)))))
% 161.78/27.65 -> [9517] ((unequally_directed_lines(reverse_line(N46_150_11), reverse_line(N46_150_11)) & unequally_directed_lines(reverse_line(N46_150_11), reverse_line(reverse_line(N46_150_11)))) => (left_convergent_lines(reverse_line(N46_150_11), reverse_line(N46_150_11)) | left_convergent_lines(reverse_line(N46_150_11), reverse_line(reverse_line(N46_150_11)))))
% 161.78/27.65
% 161.78/27.65 [9517] BETA_IMPLY : ((unequally_directed_lines(reverse_line(N46_150_11), reverse_line(N46_150_11)) & unequally_directed_lines(reverse_line(N46_150_11), reverse_line(reverse_line(N46_150_11)))) => (left_convergent_lines(reverse_line(N46_150_11), reverse_line(N46_150_11)) | left_convergent_lines(reverse_line(N46_150_11), reverse_line(reverse_line(N46_150_11)))))
% 161.78/27.65 -> [9518] ~(unequally_directed_lines(reverse_line(N46_150_11), reverse_line(N46_150_11)) & unequally_directed_lines(reverse_line(N46_150_11), reverse_line(reverse_line(N46_150_11))))
% 161.78/27.65 -> [9519] (left_convergent_lines(reverse_line(N46_150_11), reverse_line(N46_150_11)) | left_convergent_lines(reverse_line(N46_150_11), reverse_line(reverse_line(N46_150_11))))
% 161.78/27.65
% 161.78/27.65 [9519] BETA_OR : (left_convergent_lines(reverse_line(N46_150_11), reverse_line(N46_150_11)) | left_convergent_lines(reverse_line(N46_150_11), reverse_line(reverse_line(N46_150_11))))
% 161.78/27.65 -> [9522] left_convergent_lines(reverse_line(N46_150_11), reverse_line(N46_150_11))
% 161.78/27.65 -> [9523] left_convergent_lines(reverse_line(N46_150_11), reverse_line(reverse_line(N46_150_11)))
% 161.78/27.65
% 161.78/27.65 [9522] GAMMA_FORALL : ! [A51_51, L52_52] : (~(left_apart_point(A51_51, L52_52) | left_apart_point(A51_51, reverse_line(L52_52))))
% 161.78/27.65 -> [9524] ~(left_apart_point(A51_376_14, L52_376_14) | left_apart_point(A51_376_14, reverse_line(L52_376_14)))
% 161.78/27.65
% 161.78/27.65 [9524] ALPHA_NOT_OR : ~(left_apart_point(A51_376_14, L52_376_14) | left_apart_point(A51_376_14, reverse_line(L52_376_14)))
% 161.78/27.65 -> [9525] ~left_apart_point(A51_376_14, L52_376_14), ~left_apart_point(A51_376_14, reverse_line(L52_376_14))
% 161.78/27.65
% 161.78/27.65 [9525] CLOSURE : ~left_apart_point(A51_376_14, L52_376_14)
% 161.78/27.65
% 161.78/27.65 [9523] GAMMA_FORALL : ! [A51_51, L52_52] : (~(left_apart_point(A51_51, L52_52) | left_apart_point(A51_51, reverse_line(L52_52))))
% 161.78/27.65 -> [9526] ~(left_apart_point(A51_377_14, L52_377_14) | left_apart_point(A51_377_14, reverse_line(L52_377_14)))
% 161.78/27.65
% 161.78/27.65 [9526] ALPHA_NOT_OR : ~(left_apart_point(A51_377_14, L52_377_14) | left_apart_point(A51_377_14, reverse_line(L52_377_14)))
% 161.78/27.65 -> [9527] ~left_apart_point(A51_377_14, L52_377_14), ~left_apart_point(A51_377_14, reverse_line(L52_377_14))
% 161.78/27.65
% 161.78/27.65 [9527] CLOSURE : ~left_apart_point(A51_377_14, L52_377_14)
% 161.78/27.65
% 161.78/27.65 [9518] BETA_NOT_AND : ~(unequally_directed_lines(reverse_line(N46_150_11), reverse_line(N46_150_11)) & unequally_directed_lines(reverse_line(N46_150_11), reverse_line(reverse_line(N46_150_11))))
% 161.78/27.65 -> [9520] ~unequally_directed_lines(reverse_line(N46_150_11), reverse_line(N46_150_11))
% 161.78/27.65 -> [9521] ~unequally_directed_lines(reverse_line(N46_150_11), reverse_line(reverse_line(N46_150_11)))
% 161.78/27.65
% 161.78/27.65 [9521] CLOSURE : ~unequally_directed_lines(reverse_line(N46_150_11), reverse_line(reverse_line(N46_150_11)))
% 161.78/27.65
% 161.78/27.65 [9520] GAMMA_FORALL : ! [A51_51, L52_52] : (~(left_apart_point(A51_51, L52_52) | left_apart_point(A51_51, reverse_line(L52_52))))
% 161.78/27.65 -> [9533] ~(left_apart_point(A51_378_14, L52_378_14) | left_apart_point(A51_378_14, reverse_line(L52_378_14)))
% 161.78/27.65
% 161.78/27.65 [9533] ALPHA_NOT_OR : ~(left_apart_point(A51_378_14, L52_378_14) | left_apart_point(A51_378_14, reverse_line(L52_378_14)))
% 161.78/27.65 -> [9537] ~left_apart_point(A51_378_14, L52_378_14), ~left_apart_point(A51_378_14, reverse_line(L52_378_14))
% 161.78/27.65
% 161.78/27.65 [9537] CLOSURE : ~left_apart_point(A51_378_14, L52_378_14)
% 161.78/27.65
% 161.78/27.65 [7567] GAMMA_FORALL : ! [X14_14, Y15_15] : ((equally_directed_lines(X14_14, Y15_15) <=> ~unequally_directed_lines(X14_14, Y15_15)))
% 161.78/27.65 -> [7569] (equally_directed_lines(reverse_line(Y17_26_4), reverse_line(Y17_26_4)) <=> ~unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(Y17_26_4)))
% 161.78/27.65
% 161.78/27.65 [7569] BETA_EQUIV : (equally_directed_lines(reverse_line(Y17_26_4), reverse_line(Y17_26_4)) <=> ~unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(Y17_26_4)))
% 161.78/27.65 -> [7571] ~equally_directed_lines(reverse_line(Y17_26_4), reverse_line(Y17_26_4)), ~~unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(Y17_26_4))
% 161.78/27.65 -> [7572] equally_directed_lines(reverse_line(Y17_26_4), reverse_line(Y17_26_4)), ~unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(Y17_26_4))
% 161.78/27.65
% 161.78/27.65 [7571] ALPHA_NOT_NOT : ~~unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(Y17_26_4))
% 161.78/27.65 -> [7577] unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(Y17_26_4))
% 161.78/27.65
% 161.78/27.65 [7577] CLOSURE : unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(Y17_26_4))
% 161.78/27.65
% 161.78/27.65 [7579] BETA_EQUIV : (equally_directed_opposite_lines(reverse_line(Y17_26_4), Y17_26_4) <=> ~unequally_directed_opposite_lines(reverse_line(Y17_26_4), Y17_26_4))
% 161.78/27.65 -> [8433] ~equally_directed_opposite_lines(reverse_line(Y17_26_4), Y17_26_4), ~~unequally_directed_opposite_lines(reverse_line(Y17_26_4), Y17_26_4)
% 161.78/27.65 -> [8434] equally_directed_opposite_lines(reverse_line(Y17_26_4), Y17_26_4), ~unequally_directed_opposite_lines(reverse_line(Y17_26_4), Y17_26_4)
% 161.78/27.65
% 161.78/27.65 [8433] ALPHA_NOT_NOT : ~~unequally_directed_opposite_lines(reverse_line(Y17_26_4), Y17_26_4)
% 161.78/27.65 -> [8435] unequally_directed_opposite_lines(reverse_line(Y17_26_4), Y17_26_4)
% 161.78/27.65
% 161.78/27.65 [8435] CLOSURE : unequally_directed_opposite_lines(reverse_line(Y17_26_4), Y17_26_4)
% 161.78/27.65
% 161.78/27.65 [8439] BETA_IMPLY : (distinct_points(A33_43_6, A33_43_6) => (distinct_points(A33_43_6, A33_43_6) | distinct_points(A33_43_6, A33_43_6)))
% 161.78/27.65 -> [9879] ~distinct_points(A33_43_6, A33_43_6)
% 161.78/27.65 -> [9880] (distinct_points(A33_43_6, A33_43_6) | distinct_points(A33_43_6, A33_43_6))
% 161.78/27.65
% 161.78/27.65 [9879] GAMMA_FORALL : ! [L36_36] : (~distinct_lines(L36_36, L36_36))
% 161.78/27.65 -> [9883] ~distinct_lines(N39_71_8, N39_71_8)
% 161.78/27.65
% 161.78/27.65 [9883] GAMMA_FORALL : ! [L37_37, M38_38, N39_39] : ((distinct_lines(L37_37, M38_38) => (distinct_lines(L37_37, N39_39) | distinct_lines(M38_38, N39_39))))
% 161.78/27.65 -> [9888] (distinct_lines(N39_71_8, N39_71_8) => (distinct_lines(N39_71_8, N39_71_8) | distinct_lines(N39_71_8, N39_71_8)))
% 161.78/27.65
% 161.78/27.65 [9888] BETA_IMPLY : (distinct_lines(N39_71_8, N39_71_8) => (distinct_lines(N39_71_8, N39_71_8) | distinct_lines(N39_71_8, N39_71_8)))
% 161.78/27.65 -> [9889] ~distinct_lines(N39_71_8, N39_71_8)
% 161.78/27.65 -> [9890] (distinct_lines(N39_71_8, N39_71_8) | distinct_lines(N39_71_8, N39_71_8))
% 161.78/27.65
% 161.78/27.65 [9890] BETA_OR : (distinct_lines(N39_71_8, N39_71_8) | distinct_lines(N39_71_8, N39_71_8))
% 161.78/27.65 -> [9892] distinct_lines(N39_71_8, N39_71_8)
% 161.78/27.65 -> [9893] distinct_lines(N39_71_8, N39_71_8)
% 161.78/27.65
% 161.78/27.65 [9892] CLOSURE : distinct_lines(N39_71_8, N39_71_8)
% 161.78/27.65
% 161.78/27.65 [9893] CLOSURE : distinct_lines(N39_71_8, N39_71_8)
% 161.78/27.65
% 161.78/27.65 [9900] BETA_IMPLY : (unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(Y17_26_4)) => (unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(Y17_26_4)) | unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(Y17_26_4))))
% 161.78/27.65 -> [10052] ~unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(Y17_26_4))
% 161.78/27.65 -> [10053] (unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(Y17_26_4)) | unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(Y17_26_4)))
% 161.78/27.65
% 161.78/27.65 [10053] BETA_OR : (unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(Y17_26_4)) | unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(Y17_26_4)))
% 161.78/27.65 -> [10054] unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(Y17_26_4))
% 161.78/27.65 -> [10055] unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(Y17_26_4))
% 161.78/27.65
% 161.78/27.65 [10055] CLOSURE : unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(Y17_26_4))
% 161.78/27.65
% 161.78/27.65 [10054] CLOSURE : unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(Y17_26_4))
% 161.78/27.65
% 161.78/27.65 [10056] BETA_IMPLY : ((unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(Y17_26_4)) & unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(reverse_line(Y17_26_4)))) => ((unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(Y17_26_4)) & unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(reverse_line(Y17_26_4)))) | (unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(Y17_26_4)) & unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(reverse_line(Y17_26_4))))))
% 161.78/27.65 -> [10110] ~(unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(Y17_26_4)) & unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(reverse_line(Y17_26_4))))
% 161.78/27.65 -> [10111] ((unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(Y17_26_4)) & unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(reverse_line(Y17_26_4)))) | (unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(Y17_26_4)) & unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(reverse_line(Y17_26_4)))))
% 161.78/27.65
% 161.78/27.65 [10111] BETA_OR : ((unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(Y17_26_4)) & unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(reverse_line(Y17_26_4)))) | (unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(Y17_26_4)) & unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(reverse_line(Y17_26_4)))))
% 161.78/27.65 -> [10114] (unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(Y17_26_4)) & unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(reverse_line(Y17_26_4))))
% 161.78/27.65 -> [10115] (unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(Y17_26_4)) & unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(reverse_line(Y17_26_4))))
% 161.78/27.65
% 161.78/27.65 [10114] ALPHA_AND : (unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(Y17_26_4)) & unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(reverse_line(Y17_26_4))))
% 161.78/27.65 -> [10116] unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(Y17_26_4)), unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(reverse_line(Y17_26_4)))
% 161.78/27.65
% 161.78/27.65 [10116] CLOSURE : unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(reverse_line(Y17_26_4)))
% 161.78/27.65
% 161.78/27.65 [10117] CLOSURE : unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(Y17_26_4))
% 161.78/27.65
% 161.78/27.65 [10110] BETA_NOT_AND : ~(unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(Y17_26_4)) & unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(reverse_line(Y17_26_4))))
% 161.78/27.65 -> [10172] ~unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(Y17_26_4))
% 161.78/27.65 -> [10173] ~unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(reverse_line(Y17_26_4)))
% 161.78/27.65
% 161.78/27.65 [10173] GAMMA_FORALL : ! [L47_47, M48_48] : ((unequally_directed_lines(L47_47, M48_48) | unequally_directed_lines(L47_47, reverse_line(M48_48))))
% 161.78/27.65 -> [10175] (unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(Y17_26_4)) | unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(reverse_line(Y17_26_4))))
% 161.78/27.65
% 161.78/27.65 [10175] BETA_OR : (unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(Y17_26_4)) | unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(reverse_line(Y17_26_4))))
% 161.78/27.65 -> [10178] unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(Y17_26_4))
% 161.78/27.65 -> [10179] unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(reverse_line(Y17_26_4)))
% 161.78/27.65
% 161.78/27.65 [10179] CLOSURE : unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(reverse_line(Y17_26_4)))
% 161.78/27.65
% 161.78/27.65 [10178] CLOSURE : unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(Y17_26_4))
% 161.78/27.65
% 161.78/27.65 [10172] GAMMA_FORALL : ! [L47_47, M48_48] : ((unequally_directed_lines(L47_47, M48_48) | unequally_directed_lines(L47_47, reverse_line(M48_48))))
% 161.78/27.65 -> [10174] (unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(Y17_26_4)) | unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(reverse_line(Y17_26_4))))
% 161.78/27.65
% 161.78/27.65 [10174] BETA_OR : (unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(Y17_26_4)) | unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(reverse_line(Y17_26_4))))
% 161.78/27.65 -> [10176] unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(Y17_26_4))
% 161.78/27.65 -> [10177] unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(reverse_line(Y17_26_4)))
% 161.78/27.65
% 161.78/27.65 [10176] CLOSURE : unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(Y17_26_4))
% 161.78/27.65
% 161.78/27.65 [10177] GAMMA_FORALL : ! [L49_49, M50_50] : (((unequally_directed_lines(L49_49, M50_50) & unequally_directed_lines(L49_49, reverse_line(M50_50))) => (left_convergent_lines(L49_49, M50_50) | left_convergent_lines(L49_49, reverse_line(M50_50)))))
% 161.78/27.65 -> [10186] ((unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(reverse_line(Y17_26_4))) & unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(reverse_line(reverse_line(Y17_26_4))))) => (left_convergent_lines(reverse_line(Y17_26_4), reverse_line(reverse_line(Y17_26_4))) | left_convergent_lines(reverse_line(Y17_26_4), reverse_line(reverse_line(reverse_line(Y17_26_4))))))
% 161.78/27.65
% 161.78/27.65 [10186] BETA_IMPLY : ((unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(reverse_line(Y17_26_4))) & unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(reverse_line(reverse_line(Y17_26_4))))) => (left_convergent_lines(reverse_line(Y17_26_4), reverse_line(reverse_line(Y17_26_4))) | left_convergent_lines(reverse_line(Y17_26_4), reverse_line(reverse_line(reverse_line(Y17_26_4))))))
% 161.78/27.65 -> [10189] ~(unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(reverse_line(Y17_26_4))) & unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(reverse_line(reverse_line(Y17_26_4)))))
% 161.78/27.65 -> [10190] (left_convergent_lines(reverse_line(Y17_26_4), reverse_line(reverse_line(Y17_26_4))) | left_convergent_lines(reverse_line(Y17_26_4), reverse_line(reverse_line(reverse_line(Y17_26_4)))))
% 161.78/27.65
% 161.78/27.65 [10189] BETA_NOT_AND : ~(unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(reverse_line(Y17_26_4))) & unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(reverse_line(reverse_line(Y17_26_4)))))
% 161.78/27.65 -> [10191] ~unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(reverse_line(Y17_26_4)))
% 161.78/27.65 -> [10192] ~unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(reverse_line(reverse_line(Y17_26_4))))
% 161.78/27.65
% 161.78/27.65 [10191] CLOSURE : ~unequally_directed_lines(reverse_line(Y17_26_4), reverse_line(reverse_line(Y17_26_4)))
% 161.78/27.65
% 161.78/27.65 [10192] GAMMA_FORALL : ! [A51_51, L52_52] : (~(left_apart_point(A51_51, L52_52) | left_apart_point(A51_51, reverse_line(L52_52))))
% 161.78/27.65 -> [10202] ~(left_apart_point(A51_429_14, L52_429_14) | left_apart_point(A51_429_14, reverse_line(L52_429_14)))
% 161.78/27.65
% 161.78/27.65 [10202] ALPHA_NOT_OR : ~(left_apart_point(A51_429_14, L52_429_14) | left_apart_point(A51_429_14, reverse_line(L52_429_14)))
% 161.78/27.65 -> [10203] ~left_apart_point(A51_429_14, L52_429_14), ~left_apart_point(A51_429_14, reverse_line(L52_429_14))
% 161.78/27.65
% 161.78/27.65 [10203] CLOSURE : ~left_apart_point(A51_429_14, L52_429_14)
% 161.78/27.65
% 161.78/27.65 [10190] BETA_OR : (left_convergent_lines(reverse_line(Y17_26_4), reverse_line(reverse_line(Y17_26_4))) | left_convergent_lines(reverse_line(Y17_26_4), reverse_line(reverse_line(reverse_line(Y17_26_4)))))
% 161.78/27.65 -> [10206] left_convergent_lines(reverse_line(Y17_26_4), reverse_line(reverse_line(Y17_26_4)))
% 161.78/27.65 -> [10207] left_convergent_lines(reverse_line(Y17_26_4), reverse_line(reverse_line(reverse_line(Y17_26_4))))
% 161.78/27.65
% 161.78/27.65 [10206] CLOSURE : left_convergent_lines(reverse_line(Y17_26_4), reverse_line(reverse_line(Y17_26_4)))
% 161.78/27.65
% 161.78/27.65 [10207] GAMMA_FORALL : ! [A51_51, L52_52] : (~(left_apart_point(A51_51, L52_52) | left_apart_point(A51_51, reverse_line(L52_52))))
% 161.78/27.65 -> [10212] ~(left_apart_point(A51_432_14, L52_432_14) | left_apart_point(A51_432_14, reverse_line(L52_432_14)))
% 161.78/27.65
% 161.78/27.65 [10212] ALPHA_NOT_OR : ~(left_apart_point(A51_432_14, L52_432_14) | left_apart_point(A51_432_14, reverse_line(L52_432_14)))
% 161.78/27.65 -> [10213] ~left_apart_point(A51_432_14, L52_432_14), ~left_apart_point(A51_432_14, reverse_line(L52_432_14))
% 161.78/27.65
% 161.78/27.65 [10213] CLOSURE : ~left_apart_point(A51_432_14, L52_432_14)
% 161.78/27.65
% 161.78/27.65 [9880] BETA_OR : (distinct_points(A33_43_6, A33_43_6) | distinct_points(A33_43_6, A33_43_6))
% 161.78/27.65 -> [10216] distinct_points(A33_43_6, A33_43_6)
% 161.78/27.65 -> [10217] distinct_points(A33_43_6, A33_43_6)
% 161.78/27.65
% 161.78/27.65 [10217] CLOSURE : distinct_points(A33_43_6, A33_43_6)
% 161.78/27.65
% 161.78/27.65 [10216] CLOSURE : distinct_points(A33_43_6, A33_43_6)
% 161.78/27.65
% 161.78/27.65 [7] GAMMA_FORALL : ! [X8_8, Y9_9] : ((unequally_directed_opposite_lines(X8_8, Y9_9) <=> unequally_directed_lines(X8_8, reverse_line(Y9_9))))
% 161.78/27.65 -> [9] (unequally_directed_opposite_lines(reverse_line(Y17_13_4), Y17_13_4) <=> unequally_directed_lines(reverse_line(Y17_13_4), reverse_line(Y17_13_4)))
% 161.78/27.65
% 161.78/27.65 [9] BETA_EQUIV : (unequally_directed_opposite_lines(reverse_line(Y17_13_4), Y17_13_4) <=> unequally_directed_lines(reverse_line(Y17_13_4), reverse_line(Y17_13_4)))
% 161.78/27.65 -> [12] ~unequally_directed_opposite_lines(reverse_line(Y17_13_4), Y17_13_4), ~unequally_directed_lines(reverse_line(Y17_13_4), reverse_line(Y17_13_4))
% 161.78/27.65 -> [13] unequally_directed_opposite_lines(reverse_line(Y17_13_4), Y17_13_4), unequally_directed_lines(reverse_line(Y17_13_4), reverse_line(Y17_13_4))
% 161.78/27.65
% 161.78/27.65 [13] GAMMA_FORALL : ! [X10_10, Y11_11] : ((right_apart_point(X10_10, Y11_11) <=> left_apart_point(X10_10, reverse_line(Y11_11))))
% 161.78/27.65 -> [15] (right_apart_point(skolem_B9090, skolem_L9191) <=> left_apart_point(skolem_B9090, reverse_line(skolem_L9191)))
% 161.78/27.65
% 161.78/27.65 [15] BETA_EQUIV : (right_apart_point(skolem_B9090, skolem_L9191) <=> left_apart_point(skolem_B9090, reverse_line(skolem_L9191)))
% 161.78/27.65 -> [19] ~right_apart_point(skolem_B9090, skolem_L9191), ~left_apart_point(skolem_B9090, reverse_line(skolem_L9191))
% 161.78/27.65 -> [20] right_apart_point(skolem_B9090, skolem_L9191), left_apart_point(skolem_B9090, reverse_line(skolem_L9191))
% 161.78/27.65
% 161.78/27.65 [19] CLOSURE : ~right_apart_point(skolem_B9090, skolem_L9191)
% 161.78/27.65
% 161.78/27.65 [30] BETA_EQUIV : (right_convergent_lines(X12_2_2, Y13_2_2) <=> left_convergent_lines(X12_2_2, reverse_line(Y13_2_2)))
% 161.78/27.65 -> [432] ~right_convergent_lines(X12_2_2, Y13_2_2), ~left_convergent_lines(X12_2_2, reverse_line(Y13_2_2))
% 161.78/27.65 -> [433] right_convergent_lines(X12_2_2, Y13_2_2), left_convergent_lines(X12_2_2, reverse_line(Y13_2_2))
% 161.78/27.65
% 161.78/27.65 [432] GAMMA_FORALL : ! [X14_14, Y15_15] : ((equally_directed_lines(X14_14, Y15_15) <=> ~unequally_directed_lines(X14_14, Y15_15)))
% 161.78/27.65 -> [436] (equally_directed_lines(reverse_line(Y17_13_4), reverse_line(Y17_13_4)) <=> ~unequally_directed_lines(reverse_line(Y17_13_4), reverse_line(Y17_13_4)))
% 161.78/27.65
% 161.78/27.65 [436] BETA_EQUIV : (equally_directed_lines(reverse_line(Y17_13_4), reverse_line(Y17_13_4)) <=> ~unequally_directed_lines(reverse_line(Y17_13_4), reverse_line(Y17_13_4)))
% 161.78/27.65 -> [440] ~equally_directed_lines(reverse_line(Y17_13_4), reverse_line(Y17_13_4)), ~~unequally_directed_lines(reverse_line(Y17_13_4), reverse_line(Y17_13_4))
% 161.78/27.65 -> [441] equally_directed_lines(reverse_line(Y17_13_4), reverse_line(Y17_13_4)), ~unequally_directed_lines(reverse_line(Y17_13_4), reverse_line(Y17_13_4))
% 161.78/27.65
% 161.78/27.65 [441] CLOSURE : ~unequally_directed_lines(reverse_line(Y17_13_4), reverse_line(Y17_13_4))
% 161.78/27.65
% 161.78/27.65 [450] BETA_EQUIV : (equally_directed_opposite_lines(reverse_line(Y17_13_4), Y17_13_4) <=> ~unequally_directed_opposite_lines(reverse_line(Y17_13_4), Y17_13_4))
% 161.78/27.65 -> [795] ~equally_directed_opposite_lines(reverse_line(Y17_13_4), Y17_13_4), ~~unequally_directed_opposite_lines(reverse_line(Y17_13_4), Y17_13_4)
% 161.78/27.65 -> [796] equally_directed_opposite_lines(reverse_line(Y17_13_4), Y17_13_4), ~unequally_directed_opposite_lines(reverse_line(Y17_13_4), Y17_13_4)
% 161.78/27.65
% 161.78/27.65 [796] CLOSURE : ~unequally_directed_opposite_lines(reverse_line(Y17_13_4), Y17_13_4)
% 161.78/27.65
% 161.78/27.65 [816] BETA_IMPLY : (distinct_points(C35_13_6, C35_13_6) => (distinct_points(C35_13_6, C35_13_6) | distinct_points(C35_13_6, C35_13_6)))
% 161.78/27.65 -> [947] ~distinct_points(C35_13_6, C35_13_6)
% 161.78/27.65 -> [948] (distinct_points(C35_13_6, C35_13_6) | distinct_points(C35_13_6, C35_13_6))
% 161.78/27.65
% 161.78/27.65 [948] BETA_OR : (distinct_points(C35_13_6, C35_13_6) | distinct_points(C35_13_6, C35_13_6))
% 161.78/27.65 -> [954] distinct_points(C35_13_6, C35_13_6)
% 161.78/27.65 -> [955] distinct_points(C35_13_6, C35_13_6)
% 161.78/27.65
% 161.78/27.65 [954] CLOSURE : distinct_points(C35_13_6, C35_13_6)
% 161.78/27.65
% 161.78/27.65 [955] CLOSURE : distinct_points(C35_13_6, C35_13_6)
% 161.78/27.65
% 161.78/27.65 [986] BETA_IMPLY : (distinct_lines(N39_22_8, N39_22_8) => (distinct_lines(N39_22_8, N39_22_8) | distinct_lines(N39_22_8, N39_22_8)))
% 161.78/27.65 -> [1024] ~distinct_lines(N39_22_8, N39_22_8)
% 161.78/27.65 -> [1025] (distinct_lines(N39_22_8, N39_22_8) | distinct_lines(N39_22_8, N39_22_8))
% 161.78/27.65
% 161.78/27.65 [1024] GAMMA_FORALL : ! [L40_40] : (equally_directed_lines(L40_40, L40_40))
% 161.78/27.65 -> [1031] equally_directed_lines(L40_40_9, L40_40_9)
% 161.78/27.65
% 161.78/27.65 [1031] CLOSURE : equally_directed_lines(L40_40_9, L40_40_9)
% 161.78/27.65
% 161.78/27.65 [1025] BETA_OR : (distinct_lines(N39_22_8, N39_22_8) | distinct_lines(N39_22_8, N39_22_8))
% 161.78/27.65 -> [1044] distinct_lines(N39_22_8, N39_22_8)
% 161.78/27.65 -> [1045] distinct_lines(N39_22_8, N39_22_8)
% 161.78/27.65
% 161.78/27.65 [1045] CLOSURE : distinct_lines(N39_22_8, N39_22_8)
% 161.78/27.65
% 161.78/27.65 [1044] CLOSURE : distinct_lines(N39_22_8, N39_22_8)
% 161.78/27.65
% 161.78/27.65 [437] BETA_EQUIV : (equally_directed_lines(reverse_line(Y17_13_4), reverse_line(Y17_13_4)) <=> ~unequally_directed_lines(reverse_line(Y17_13_4), reverse_line(Y17_13_4)))
% 161.78/27.65 -> [1083] ~equally_directed_lines(reverse_line(Y17_13_4), reverse_line(Y17_13_4)), ~~unequally_directed_lines(reverse_line(Y17_13_4), reverse_line(Y17_13_4))
% 161.78/27.65 -> [1084] equally_directed_lines(reverse_line(Y17_13_4), reverse_line(Y17_13_4)), ~unequally_directed_lines(reverse_line(Y17_13_4), reverse_line(Y17_13_4))
% 161.78/27.65
% 161.78/27.65 [1084] CLOSURE : ~unequally_directed_lines(reverse_line(Y17_13_4), reverse_line(Y17_13_4))
% 161.78/27.65
% 161.78/27.65 [1109] BETA_EQUIV : (equally_directed_opposite_lines(reverse_line(Y17_13_4), Y17_13_4) <=> ~unequally_directed_opposite_lines(reverse_line(Y17_13_4), Y17_13_4))
% 161.78/27.65 -> [1225] ~equally_directed_opposite_lines(reverse_line(Y17_13_4), Y17_13_4), ~~unequally_directed_opposite_lines(reverse_line(Y17_13_4), Y17_13_4)
% 161.78/27.65 -> [1226] equally_directed_opposite_lines(reverse_line(Y17_13_4), Y17_13_4), ~unequally_directed_opposite_lines(reverse_line(Y17_13_4), Y17_13_4)
% 161.78/27.65
% 161.78/27.65 [1226] CLOSURE : ~unequally_directed_opposite_lines(reverse_line(Y17_13_4), Y17_13_4)
% 161.78/27.65
% 161.78/27.65 [1225] ALPHA_NOT_NOT : ~~unequally_directed_opposite_lines(reverse_line(Y17_13_4), Y17_13_4)
% 161.78/27.65 -> [1237] unequally_directed_opposite_lines(reverse_line(Y17_13_4), Y17_13_4)
% 161.78/27.65
% 161.78/27.65 [1237] GAMMA_FORALL : ! [A32_32] : (~distinct_points(A32_32, A32_32))
% 161.78/27.65 -> [1248] ~distinct_points(C35_19_6, C35_19_6)
% 161.78/27.65
% 161.78/27.65 [1248] GAMMA_FORALL : ! [A33_33, B34_34, C35_35] : ((distinct_points(A33_33, B34_34) => (distinct_points(A33_33, C35_35) | distinct_points(B34_34, C35_35))))
% 161.78/27.65 -> [1265] (distinct_points(C35_19_6, C35_19_6) => (distinct_points(C35_19_6, C35_19_6) | distinct_points(C35_19_6, C35_19_6)))
% 161.78/27.65
% 161.78/27.65 [1265] BETA_IMPLY : (distinct_points(C35_19_6, C35_19_6) => (distinct_points(C35_19_6, C35_19_6) | distinct_points(C35_19_6, C35_19_6)))
% 161.78/27.65 -> [1266] ~distinct_points(C35_19_6, C35_19_6)
% 161.78/27.65 -> [1267] (distinct_points(C35_19_6, C35_19_6) | distinct_points(C35_19_6, C35_19_6))
% 161.78/27.65
% 161.78/27.65 [1267] BETA_OR : (distinct_points(C35_19_6, C35_19_6) | distinct_points(C35_19_6, C35_19_6))
% 161.78/27.65 -> [1268] distinct_points(C35_19_6, C35_19_6)
% 161.78/27.65 -> [1269] distinct_points(C35_19_6, C35_19_6)
% 161.78/27.65
% 161.78/27.65 [1269] CLOSURE : distinct_points(C35_19_6, C35_19_6)
% 161.78/27.65
% 161.78/27.65 [1268] CLOSURE : distinct_points(C35_19_6, C35_19_6)
% 161.78/27.65
% 161.78/27.65 [1266] GAMMA_FORALL : ! [L36_36] : (~distinct_lines(L36_36, L36_36))
% 161.78/27.65 -> [1275] ~distinct_lines(N39_29_8, N39_29_8)
% 161.78/27.65
% 161.78/27.65 [1275] GAMMA_FORALL : ! [L37_37, M38_38, N39_39] : ((distinct_lines(L37_37, M38_38) => (distinct_lines(L37_37, N39_39) | distinct_lines(M38_38, N39_39))))
% 161.78/27.65 -> [1279] (distinct_lines(N39_29_8, N39_29_8) => (distinct_lines(N39_29_8, N39_29_8) | distinct_lines(N39_29_8, N39_29_8)))
% 161.78/27.65
% 161.78/27.65 [1279] BETA_IMPLY : (distinct_lines(N39_29_8, N39_29_8) => (distinct_lines(N39_29_8, N39_29_8) | distinct_lines(N39_29_8, N39_29_8)))
% 161.78/27.65 -> [1280] ~distinct_lines(N39_29_8, N39_29_8)
% 161.78/27.65 -> [1281] (distinct_lines(N39_29_8, N39_29_8) | distinct_lines(N39_29_8, N39_29_8))
% 161.78/27.65
% 161.78/27.65 [1280] GAMMA_FORALL : ! [L40_40] : (equally_directed_lines(L40_40, L40_40))
% 161.78/27.65 -> [1291] equally_directed_lines(L40_51_9, L40_51_9)
% 161.78/27.65
% 161.78/27.65 [1291] CLOSURE : equally_directed_lines(L40_51_9, L40_51_9)
% 161.78/27.65
% 161.78/27.65 [1281] BETA_OR : (distinct_lines(N39_29_8, N39_29_8) | distinct_lines(N39_29_8, N39_29_8))
% 161.78/27.65 -> [1282] distinct_lines(N39_29_8, N39_29_8)
% 161.78/27.65 -> [1283] distinct_lines(N39_29_8, N39_29_8)
% 161.78/27.65
% 161.78/27.65 [1283] CLOSURE : distinct_lines(N39_29_8, N39_29_8)
% 161.78/27.65
% 161.78/27.65 [1282] CLOSURE : distinct_lines(N39_29_8, N39_29_8)
% 161.78/27.65
% 161.78/27.65 [16] BETA_EQUIV : (right_apart_point(skolem_B9090, skolem_L9191) <=> left_apart_point(skolem_B9090, reverse_line(skolem_L9191)))
% 161.78/27.65 -> [7884] ~right_apart_point(skolem_B9090, skolem_L9191), ~left_apart_point(skolem_B9090, reverse_line(skolem_L9191))
% 161.78/27.65 -> [7885] right_apart_point(skolem_B9090, skolem_L9191), left_apart_point(skolem_B9090, reverse_line(skolem_L9191))
% 161.78/27.65
% 161.78/27.65 [7884] CLOSURE : ~right_apart_point(skolem_B9090, skolem_L9191)
% 161.78/27.65
% 161.78/27.65 [7885] GAMMA_FORALL : ! [X12_12, Y13_13] : ((right_convergent_lines(X12_12, Y13_13) <=> left_convergent_lines(X12_12, reverse_line(Y13_13))))
% 161.78/27.65 -> [7886] (right_convergent_lines(line_connecting(skolem_A8989, skolem_B9090), skolem_L9191) <=> left_convergent_lines(line_connecting(skolem_A8989, skolem_B9090), reverse_line(skolem_L9191)))
% 161.78/27.65
% 161.78/27.65 [7886] BETA_EQUIV : (right_convergent_lines(line_connecting(skolem_A8989, skolem_B9090), skolem_L9191) <=> left_convergent_lines(line_connecting(skolem_A8989, skolem_B9090), reverse_line(skolem_L9191)))
% 161.78/27.65 -> [7887] ~right_convergent_lines(line_connecting(skolem_A8989, skolem_B9090), skolem_L9191), ~left_convergent_lines(line_connecting(skolem_A8989, skolem_B9090), reverse_line(skolem_L9191))
% 161.78/27.65 -> [7888] right_convergent_lines(line_connecting(skolem_A8989, skolem_B9090), skolem_L9191), left_convergent_lines(line_connecting(skolem_A8989, skolem_B9090), reverse_line(skolem_L9191))
% 161.78/27.65
% 161.78/27.65 [7888] GAMMA_FORALL : ! [X14_14, Y15_15] : ((equally_directed_lines(X14_14, Y15_15) <=> ~unequally_directed_lines(X14_14, Y15_15)))
% 161.78/27.65 -> [7892] (equally_directed_lines(reverse_line(Y17_29_4), reverse_line(Y17_29_4)) <=> ~unequally_directed_lines(reverse_line(Y17_29_4), reverse_line(Y17_29_4)))
% 161.78/27.65
% 161.78/27.65 [7892] BETA_EQUIV : (equally_directed_lines(reverse_line(Y17_29_4), reverse_line(Y17_29_4)) <=> ~unequally_directed_lines(reverse_line(Y17_29_4), reverse_line(Y17_29_4)))
% 161.78/27.65 -> [7893] ~equally_directed_lines(reverse_line(Y17_29_4), reverse_line(Y17_29_4)), ~~unequally_directed_lines(reverse_line(Y17_29_4), reverse_line(Y17_29_4))
% 161.78/27.65 -> [7894] equally_directed_lines(reverse_line(Y17_29_4), reverse_line(Y17_29_4)), ~unequally_directed_lines(reverse_line(Y17_29_4), reverse_line(Y17_29_4))
% 161.78/27.65
% 161.78/27.65 [7893] ALPHA_NOT_NOT : ~~unequally_directed_lines(reverse_line(Y17_29_4), reverse_line(Y17_29_4))
% 161.78/27.65 -> [7898] unequally_directed_lines(reverse_line(Y17_29_4), reverse_line(Y17_29_4))
% 161.78/27.65
% 161.78/27.65 [7898] CLOSURE : unequally_directed_lines(reverse_line(Y17_29_4), reverse_line(Y17_29_4))
% 161.78/27.65
% 161.78/27.65 [7904] BETA_EQUIV : (equally_directed_opposite_lines(reverse_line(Y17_29_4), Y17_29_4) <=> ~unequally_directed_opposite_lines(reverse_line(Y17_29_4), Y17_29_4))
% 161.78/27.65 -> [8830] ~equally_directed_opposite_lines(reverse_line(Y17_29_4), Y17_29_4), ~~unequally_directed_opposite_lines(reverse_line(Y17_29_4), Y17_29_4)
% 161.78/27.65 -> [8831] equally_directed_opposite_lines(reverse_line(Y17_29_4), Y17_29_4), ~unequally_directed_opposite_lines(reverse_line(Y17_29_4), Y17_29_4)
% 161.78/27.65
% 161.78/27.65 [8830] ALPHA_NOT_NOT : ~~unequally_directed_opposite_lines(reverse_line(Y17_29_4), Y17_29_4)
% 161.78/27.65 -> [8832] unequally_directed_opposite_lines(reverse_line(Y17_29_4), Y17_29_4)
% 161.78/27.65
% 161.78/27.65 [8832] CLOSURE : unequally_directed_opposite_lines(reverse_line(Y17_29_4), Y17_29_4)
% 161.78/27.65
% 161.78/27.65 [8831] GAMMA_FORALL : ! [A32_32] : (~distinct_points(A32_32, A32_32))
% 161.78/27.65 -> [8833] ~distinct_points(C35_44_6, C35_44_6)
% 161.78/27.65
% 161.78/27.65 [8833] GAMMA_FORALL : ! [A33_33, B34_34, C35_35] : ((distinct_points(A33_33, B34_34) => (distinct_points(A33_33, C35_35) | distinct_points(B34_34, C35_35))))
% 161.78/27.65 -> [8841] (distinct_points(C35_44_6, C35_44_6) => (distinct_points(C35_44_6, C35_44_6) | distinct_points(C35_44_6, C35_44_6)))
% 161.78/27.65
% 161.78/27.65 [8841] BETA_IMPLY : (distinct_points(C35_44_6, C35_44_6) => (distinct_points(C35_44_6, C35_44_6) | distinct_points(C35_44_6, C35_44_6)))
% 161.78/27.65 -> [8842] ~distinct_points(C35_44_6, C35_44_6)
% 161.78/27.65 -> [8843] (distinct_points(C35_44_6, C35_44_6) | distinct_points(C35_44_6, C35_44_6))
% 161.78/27.65
% 161.78/27.65 [8843] BETA_OR : (distinct_points(C35_44_6, C35_44_6) | distinct_points(C35_44_6, C35_44_6))
% 161.78/27.65 -> [8847] distinct_points(C35_44_6, C35_44_6)
% 161.78/27.65 -> [8848] distinct_points(C35_44_6, C35_44_6)
% 161.78/27.65
% 161.78/27.65 [8847] CLOSURE : distinct_points(C35_44_6, C35_44_6)
% 161.78/27.65
% 161.78/27.65 [8848] CLOSURE : distinct_points(C35_44_6, C35_44_6)
% 161.78/27.65
% 161.78/27.65 [8842] GAMMA_FORALL : ! [L36_36] : (~distinct_lines(L36_36, L36_36))
% 161.78/27.65 -> [8852] ~distinct_lines(N39_67_8, N39_67_8)
% 161.78/27.65
% 161.78/27.65 [8852] GAMMA_FORALL : ! [L37_37, M38_38, N39_39] : ((distinct_lines(L37_37, M38_38) => (distinct_lines(L37_37, N39_39) | distinct_lines(M38_38, N39_39))))
% 161.78/27.65 -> [8853] (distinct_lines(N39_67_8, N39_67_8) => (distinct_lines(N39_67_8, N39_67_8) | distinct_lines(N39_67_8, N39_67_8)))
% 161.78/27.65
% 161.78/27.65 [8853] BETA_IMPLY : (distinct_lines(N39_67_8, N39_67_8) => (distinct_lines(N39_67_8, N39_67_8) | distinct_lines(N39_67_8, N39_67_8)))
% 161.78/27.65 -> [8854] ~distinct_lines(N39_67_8, N39_67_8)
% 161.78/27.65 -> [8855] (distinct_lines(N39_67_8, N39_67_8) | distinct_lines(N39_67_8, N39_67_8))
% 161.78/27.65
% 161.78/27.65 [8855] BETA_OR : (distinct_lines(N39_67_8, N39_67_8) | distinct_lines(N39_67_8, N39_67_8))
% 161.78/27.65 -> [8856] distinct_lines(N39_67_8, N39_67_8)
% 161.78/27.65 -> [8857] distinct_lines(N39_67_8, N39_67_8)
% 161.78/27.65
% 161.78/27.65 [8856] CLOSURE : distinct_lines(N39_67_8, N39_67_8)
% 161.78/27.65
% 161.78/27.65 [8857] CLOSURE : distinct_lines(N39_67_8, N39_67_8)
% 161.78/27.65
% 161.78/27.65 [8854] GAMMA_FORALL : ! [L40_40] : (equally_directed_lines(L40_40, L40_40))
% 161.78/27.65 -> [8858] equally_directed_lines(L40_117_9, L40_117_9)
% 161.78/27.65
% 161.78/27.65 [8858] GAMMA_FORALL : ! [L41_41, M42_42, N43_43] : ((unequally_directed_lines(L41_41, M42_42) => (unequally_directed_lines(L41_41, N43_43) | unequally_directed_lines(M42_42, N43_43))))
% 161.78/27.65 -> [8861] (unequally_directed_lines(reverse_line(N46_142_11), reverse_line(N46_142_11)) => (unequally_directed_lines(reverse_line(N46_142_11), reverse_line(N46_142_11)) | unequally_directed_lines(reverse_line(N46_142_11), reverse_line(N46_142_11))))
% 161.78/27.65
% 161.78/27.65 [8861] BETA_IMPLY : (unequally_directed_lines(reverse_line(N46_142_11), reverse_line(N46_142_11)) => (unequally_directed_lines(reverse_line(N46_142_11), reverse_line(N46_142_11)) | unequally_directed_lines(reverse_line(N46_142_11), reverse_line(N46_142_11))))
% 161.78/27.65 -> [8862] ~unequally_directed_lines(reverse_line(N46_142_11), reverse_line(N46_142_11))
% 161.78/27.65 -> [8863] (unequally_directed_lines(reverse_line(N46_142_11), reverse_line(N46_142_11)) | unequally_directed_lines(reverse_line(N46_142_11), reverse_line(N46_142_11)))
% 161.78/27.65
% 161.78/27.65 [8863] BETA_OR : (unequally_directed_lines(reverse_line(N46_142_11), reverse_line(N46_142_11)) | unequally_directed_lines(reverse_line(N46_142_11), reverse_line(N46_142_11)))
% 161.78/27.65 -> [8864] unequally_directed_lines(reverse_line(N46_142_11), reverse_line(N46_142_11))
% 161.78/27.65 -> [8865] unequally_directed_lines(reverse_line(N46_142_11), reverse_line(N46_142_11))
% 161.78/27.65
% 161.78/27.65 [8865] CLOSURE : unequally_directed_lines(reverse_line(N46_142_11), reverse_line(N46_142_11))
% 161.78/27.65
% 161.78/27.65 [8864] CLOSURE : unequally_directed_lines(reverse_line(N46_142_11), reverse_line(N46_142_11))
% 161.78/27.65
% 161.78/27.65 [8866] BETA_IMPLY : ((unequally_directed_lines(reverse_line(N46_142_11), reverse_line(reverse_line(N46_142_11))) & unequally_directed_lines(reverse_line(N46_142_11), reverse_line(reverse_line(reverse_line(N46_142_11))))) => ((unequally_directed_lines(reverse_line(N46_142_11), reverse_line(N46_142_11)) & unequally_directed_lines(reverse_line(N46_142_11), reverse_line(reverse_line(N46_142_11)))) | (unequally_directed_lines(reverse_line(reverse_line(N46_142_11)), reverse_line(N46_142_11)) & unequally_directed_lines(reverse_line(reverse_line(N46_142_11)), reverse_line(reverse_line(N46_142_11))))))
% 161.78/27.65 -> [9007] ~(unequally_directed_lines(reverse_line(N46_142_11), reverse_line(reverse_line(N46_142_11))) & unequally_directed_lines(reverse_line(N46_142_11), reverse_line(reverse_line(reverse_line(N46_142_11)))))
% 161.78/27.65 -> [9008] ((unequally_directed_lines(reverse_line(N46_142_11), reverse_line(N46_142_11)) & unequally_directed_lines(reverse_line(N46_142_11), reverse_line(reverse_line(N46_142_11)))) | (unequally_directed_lines(reverse_line(reverse_line(N46_142_11)), reverse_line(N46_142_11)) & unequally_directed_lines(reverse_line(reverse_line(N46_142_11)), reverse_line(reverse_line(N46_142_11)))))
% 161.78/27.65
% 161.78/27.65 [9007] BETA_NOT_AND : ~(unequally_directed_lines(reverse_line(N46_142_11), reverse_line(reverse_line(N46_142_11))) & unequally_directed_lines(reverse_line(N46_142_11), reverse_line(reverse_line(reverse_line(N46_142_11)))))
% 161.78/27.65 -> [9009] ~unequally_directed_lines(reverse_line(N46_142_11), reverse_line(reverse_line(N46_142_11)))
% 161.78/27.65 -> [9010] ~unequally_directed_lines(reverse_line(N46_142_11), reverse_line(reverse_line(reverse_line(N46_142_11))))
% 161.78/27.65
% 161.78/27.65 [9009] GAMMA_FORALL : ! [L47_47, M48_48] : ((unequally_directed_lines(L47_47, M48_48) | unequally_directed_lines(L47_47, reverse_line(M48_48))))
% 161.78/27.65 -> [9017] (unequally_directed_lines(reverse_line(N46_142_11), reverse_line(N46_142_11)) | unequally_directed_lines(reverse_line(N46_142_11), reverse_line(reverse_line(N46_142_11))))
% 161.78/27.65
% 161.78/27.65 [9017] BETA_OR : (unequally_directed_lines(reverse_line(N46_142_11), reverse_line(N46_142_11)) | unequally_directed_lines(reverse_line(N46_142_11), reverse_line(reverse_line(N46_142_11))))
% 161.78/27.65 -> [9021] unequally_directed_lines(reverse_line(N46_142_11), reverse_line(N46_142_11))
% 161.78/27.65 -> [9022] unequally_directed_lines(reverse_line(N46_142_11), reverse_line(reverse_line(N46_142_11)))
% 161.78/27.65
% 161.78/27.65 [9022] CLOSURE : unequally_directed_lines(reverse_line(N46_142_11), reverse_line(reverse_line(N46_142_11)))
% 161.78/27.65
% 161.78/27.65 [9021] CLOSURE : unequally_directed_lines(reverse_line(N46_142_11), reverse_line(N46_142_11))
% 161.78/27.65
% 161.78/27.65 [9018] BETA_OR : (unequally_directed_lines(reverse_line(N46_142_11), reverse_line(reverse_line(N46_142_11))) | unequally_directed_lines(reverse_line(N46_142_11), reverse_line(reverse_line(reverse_line(N46_142_11)))))
% 161.78/27.65 -> [9065] unequally_directed_lines(reverse_line(N46_142_11), reverse_line(reverse_line(N46_142_11)))
% 161.78/27.65 -> [9066] unequally_directed_lines(reverse_line(N46_142_11), reverse_line(reverse_line(reverse_line(N46_142_11))))
% 161.78/27.65
% 161.78/27.65 [9066] CLOSURE : unequally_directed_lines(reverse_line(N46_142_11), reverse_line(reverse_line(reverse_line(N46_142_11))))
% 161.78/27.65
% 161.78/27.65 [9065] GAMMA_FORALL : ! [L49_49, M50_50] : (((unequally_directed_lines(L49_49, M50_50) & unequally_directed_lines(L49_49, reverse_line(M50_50))) => (left_convergent_lines(L49_49, M50_50) | left_convergent_lines(L49_49, reverse_line(M50_50)))))
% 161.78/27.65 -> [9086] ((unequally_directed_lines(line_connecting(skolem_A8989, skolem_B9090), skolem_L9191) & unequally_directed_lines(line_connecting(skolem_A8989, skolem_B9090), reverse_line(skolem_L9191))) => (left_convergent_lines(line_connecting(skolem_A8989, skolem_B9090), skolem_L9191) | left_convergent_lines(line_connecting(skolem_A8989, skolem_B9090), reverse_line(skolem_L9191))))
% 161.78/27.65
% 161.78/27.65 [9086] BETA_IMPLY : ((unequally_directed_lines(line_connecting(skolem_A8989, skolem_B9090), skolem_L9191) & unequally_directed_lines(line_connecting(skolem_A8989, skolem_B9090), reverse_line(skolem_L9191))) => (left_convergent_lines(line_connecting(skolem_A8989, skolem_B9090), skolem_L9191) | left_convergent_lines(line_connecting(skolem_A8989, skolem_B9090), reverse_line(skolem_L9191))))
% 161.78/27.65 -> [9087] ~(unequally_directed_lines(line_connecting(skolem_A8989, skolem_B9090), skolem_L9191) & unequally_directed_lines(line_connecting(skolem_A8989, skolem_B9090), reverse_line(skolem_L9191)))
% 161.78/27.65 -> [9088] (left_convergent_lines(line_connecting(skolem_A8989, skolem_B9090), skolem_L9191) | left_convergent_lines(line_connecting(skolem_A8989, skolem_B9090), reverse_line(skolem_L9191)))
% 161.78/27.65
% 161.78/27.65 [9088] BETA_OR : (left_convergent_lines(line_connecting(skolem_A8989, skolem_B9090), skolem_L9191) | left_convergent_lines(line_connecting(skolem_A8989, skolem_B9090), reverse_line(skolem_L9191)))
% 161.78/27.65 -> [9091] left_convergent_lines(line_connecting(skolem_A8989, skolem_B9090), skolem_L9191)
% 161.78/27.65 -> [9092] left_convergent_lines(line_connecting(skolem_A8989, skolem_B9090), reverse_line(skolem_L9191))
% 161.78/27.65
% 161.78/27.65 [9091] CLOSURE : left_convergent_lines(line_connecting(skolem_A8989, skolem_B9090), skolem_L9191)
% 161.78/27.65
% 161.78/27.65 [9092] GAMMA_FORALL : ! [A51_51, L52_52] : (~(left_apart_point(A51_51, L52_52) | left_apart_point(A51_51, reverse_line(L52_52))))
% 161.78/27.65 -> [9093] ~(left_apart_point(A51_352_14, L52_352_14) | left_apart_point(A51_352_14, reverse_line(L52_352_14)))
% 161.78/27.65
% 161.78/27.65 [9093] ALPHA_NOT_OR : ~(left_apart_point(A51_352_14, L52_352_14) | left_apart_point(A51_352_14, reverse_line(L52_352_14)))
% 161.78/27.65 -> [9094] ~left_apart_point(A51_352_14, L52_352_14), ~left_apart_point(A51_352_14, reverse_line(L52_352_14))
% 161.78/27.65
% 161.78/27.65 [9094] CLOSURE : ~left_apart_point(A51_352_14, L52_352_14)
% 161.78/27.65
% 161.78/27.65 [9087] BETA_NOT_AND : ~(unequally_directed_lines(line_connecting(skolem_A8989, skolem_B9090), skolem_L9191) & unequally_directed_lines(line_connecting(skolem_A8989, skolem_B9090), reverse_line(skolem_L9191)))
% 161.78/27.65 -> [9122] ~unequally_directed_lines(line_connecting(skolem_A8989, skolem_B9090), skolem_L9191)
% 161.78/27.65 -> [9123] ~unequally_directed_lines(line_connecting(skolem_A8989, skolem_B9090), reverse_line(skolem_L9191))
% 161.78/27.65
% 161.78/27.65 [9122] GAMMA_FORALL : ! [A51_51, L52_52] : (~(left_apart_point(A51_51, L52_52) | left_apart_point(A51_51, reverse_line(L52_52))))
% 161.78/27.65 -> [9126] ~(left_apart_point(A51_356_14, L52_356_14) | left_apart_point(A51_356_14, reverse_line(L52_356_14)))
% 161.78/27.65
% 161.78/27.65 [9126] ALPHA_NOT_OR : ~(left_apart_point(A51_356_14, L52_356_14) | left_apart_point(A51_356_14, reverse_line(L52_356_14)))
% 161.78/27.65 -> [9130] ~left_apart_point(A51_356_14, L52_356_14), ~left_apart_point(A51_356_14, reverse_line(L52_356_14))
% 161.78/27.65
% 161.78/27.65 [9130] CLOSURE : ~left_apart_point(A51_356_14, L52_356_14)
% 161.78/27.65
% 161.78/27.65 [9123] GAMMA_FORALL : ! [A51_51, L52_52] : (~(left_apart_point(A51_51, L52_52) | left_apart_point(A51_51, reverse_line(L52_52))))
% 161.78/27.65 -> [9129] ~(left_apart_point(A51_357_14, L52_357_14) | left_apart_point(A51_357_14, reverse_line(L52_357_14)))
% 161.78/27.65
% 161.78/27.65 [9129] ALPHA_NOT_OR : ~(left_apart_point(A51_357_14, L52_357_14) | left_apart_point(A51_357_14, reverse_line(L52_357_14)))
% 161.78/27.65 -> [9131] ~left_apart_point(A51_357_14, L52_357_14), ~left_apart_point(A51_357_14, reverse_line(L52_357_14))
% 161.78/27.65
% 161.78/27.65 [9131] CLOSURE : ~left_apart_point(A51_357_14, L52_357_14)
% 161.78/27.65
% 161.78/27.65 [9008] BETA_OR : ((unequally_directed_lines(reverse_line(N46_142_11), reverse_line(N46_142_11)) & unequally_directed_lines(reverse_line(N46_142_11), reverse_line(reverse_line(N46_142_11)))) | (unequally_directed_lines(reverse_line(reverse_line(N46_142_11)), reverse_line(N46_142_11)) & unequally_directed_lines(reverse_line(reverse_line(N46_142_11)), reverse_line(reverse_line(N46_142_11)))))
% 161.78/27.65 -> [9151] (unequally_directed_lines(reverse_line(N46_142_11), reverse_line(N46_142_11)) & unequally_directed_lines(reverse_line(N46_142_11), reverse_line(reverse_line(N46_142_11))))
% 161.78/27.65 -> [9152] (unequally_directed_lines(reverse_line(reverse_line(N46_142_11)), reverse_line(N46_142_11)) & unequally_directed_lines(reverse_line(reverse_line(N46_142_11)), reverse_line(reverse_line(N46_142_11))))
% 161.78/27.65
% 161.78/27.65 [9151] ALPHA_AND : (unequally_directed_lines(reverse_line(N46_142_11), reverse_line(N46_142_11)) & unequally_directed_lines(reverse_line(N46_142_11), reverse_line(reverse_line(N46_142_11))))
% 161.78/27.65 -> [9153] unequally_directed_lines(reverse_line(N46_142_11), reverse_line(N46_142_11)), unequally_directed_lines(reverse_line(N46_142_11), reverse_line(reverse_line(N46_142_11)))
% 161.78/27.65
% 161.78/27.65 [9153] CLOSURE : unequally_directed_lines(reverse_line(N46_142_11), reverse_line(reverse_line(N46_142_11)))
% 161.78/27.65
% 161.78/27.65 [9152] ALPHA_AND : (unequally_directed_lines(reverse_line(reverse_line(M48_775_12)), reverse_line(N46_142_11)) & unequally_directed_lines(reverse_line(reverse_line(M48_775_12)), reverse_line(reverse_line(N46_142_11))))
% 161.78/27.65 -> [9154] unequally_directed_lines(reverse_line(reverse_line(M48_775_12)), reverse_line(N46_142_11)), unequally_directed_lines(reverse_line(reverse_line(M48_775_12)), reverse_line(reverse_line(N46_142_11)))
% 161.78/27.65
% 161.78/27.65 [9154] GAMMA_FORALL : ! [L47_47, M48_48] : ((unequally_directed_lines(L47_47, M48_48) | unequally_directed_lines(L47_47, reverse_line(M48_48))))
% 161.78/27.65 -> [9159] (unequally_directed_lines(reverse_line(M48_775_12), M48_775_12) | unequally_directed_lines(reverse_line(M48_775_12), reverse_line(M48_775_12)))
% 161.78/27.65
% 161.78/27.65 [9159] BETA_OR : (unequally_directed_lines(reverse_line(M48_775_12), M48_775_12) | unequally_directed_lines(reverse_line(M48_775_12), reverse_line(M48_775_12)))
% 161.78/27.65 -> [9162] unequally_directed_lines(reverse_line(M48_775_12), M48_775_12)
% 161.78/27.65 -> [9163] unequally_directed_lines(reverse_line(M48_775_12), reverse_line(M48_775_12))
% 161.78/27.65
% 161.78/27.65 [9163] CLOSURE : unequally_directed_lines(reverse_line(M48_775_12), reverse_line(M48_775_12))
% 161.78/27.65
% 161.78/27.65 [9162] GAMMA_FORALL : ! [L49_49, M50_50] : (((unequally_directed_lines(L49_49, M50_50) & unequally_directed_lines(L49_49, reverse_line(M50_50))) => (left_convergent_lines(L49_49, M50_50) | left_convergent_lines(L49_49, reverse_line(M50_50)))))
% 161.78/27.65 -> [9175] ((unequally_directed_lines(line_connecting(skolem_A8989, skolem_B9090), skolem_L9191) & unequally_directed_lines(line_connecting(skolem_A8989, skolem_B9090), reverse_line(skolem_L9191))) => (left_convergent_lines(line_connecting(skolem_A8989, skolem_B9090), skolem_L9191) | left_convergent_lines(line_connecting(skolem_A8989, skolem_B9090), reverse_line(skolem_L9191))))
% 161.78/27.65
% 161.78/27.65 [9175] BETA_IMPLY : ((unequally_directed_lines(line_connecting(skolem_A8989, skolem_B9090), skolem_L9191) & unequally_directed_lines(line_connecting(skolem_A8989, skolem_B9090), reverse_line(skolem_L9191))) => (left_convergent_lines(line_connecting(skolem_A8989, skolem_B9090), skolem_L9191) | left_convergent_lines(line_connecting(skolem_A8989, skolem_B9090), reverse_line(skolem_L9191))))
% 161.78/27.65 -> [9178] ~(unequally_directed_lines(line_connecting(skolem_A8989, skolem_B9090), skolem_L9191) & unequally_directed_lines(line_connecting(skolem_A8989, skolem_B9090), reverse_line(skolem_L9191)))
% 161.78/27.65 -> [9179] (left_convergent_lines(line_connecting(skolem_A8989, skolem_B9090), skolem_L9191) | left_convergent_lines(line_connecting(skolem_A8989, skolem_B9090), reverse_line(skolem_L9191)))
% 161.78/27.65
% 161.78/27.65 [9179] BETA_OR : (left_convergent_lines(line_connecting(skolem_A8989, skolem_B9090), skolem_L9191) | left_convergent_lines(line_connecting(skolem_A8989, skolem_B9090), reverse_line(skolem_L9191)))
% 161.78/27.65 -> [9191] left_convergent_lines(line_connecting(skolem_A8989, skolem_B9090), skolem_L9191)
% 161.78/27.65 -> [9192] left_convergent_lines(line_connecting(skolem_A8989, skolem_B9090), reverse_line(skolem_L9191))
% 161.78/27.65
% 161.78/27.65 [9191] CLOSURE : left_convergent_lines(line_connecting(skolem_A8989, skolem_B9090), skolem_L9191)
% 161.78/27.65
% 161.78/27.65 [9192] GAMMA_FORALL : ! [A51_51, L52_52] : (~(left_apart_point(A51_51, L52_52) | left_apart_point(A51_51, reverse_line(L52_52))))
% 161.78/27.65 -> [9195] ~(left_apart_point(A51_359_14, L52_359_14) | left_apart_point(A51_359_14, reverse_line(L52_359_14)))
% 161.78/27.65
% 161.78/27.65 [9195] ALPHA_NOT_OR : ~(left_apart_point(A51_359_14, L52_359_14) | left_apart_point(A51_359_14, reverse_line(L52_359_14)))
% 161.78/27.65 -> [9196] ~left_apart_point(A51_359_14, L52_359_14), ~left_apart_point(A51_359_14, reverse_line(L52_359_14))
% 161.78/27.65
% 161.78/27.65 [9196] CLOSURE : ~left_apart_point(A51_359_14, L52_359_14)
% 161.78/27.65
% 161.78/27.65 [9178] BETA_NOT_AND : ~(unequally_directed_lines(line_connecting(skolem_A8989, skolem_B9090), skolem_L9191) & unequally_directed_lines(line_connecting(skolem_A8989, skolem_B9090), reverse_line(skolem_L9191)))
% 161.78/27.65 -> [9199] ~unequally_directed_lines(line_connecting(skolem_A8989, skolem_B9090), skolem_L9191)
% 161.78/27.65 -> [9200] ~unequally_directed_lines(line_connecting(skolem_A8989, skolem_B9090), reverse_line(skolem_L9191))
% 161.78/27.65
% 161.78/27.65 [9200] GAMMA_FORALL : ! [A51_51, L52_52] : (~(left_apart_point(A51_51, L52_52) | left_apart_point(A51_51, reverse_line(L52_52))))
% 161.78/27.65 -> [9208] ~(left_apart_point(A51_361_14, L52_361_14) | left_apart_point(A51_361_14, reverse_line(L52_361_14)))
% 161.78/27.65
% 161.78/27.65 [9208] ALPHA_NOT_OR : ~(left_apart_point(A51_361_14, L52_361_14) | left_apart_point(A51_361_14, reverse_line(L52_361_14)))
% 161.78/27.65 -> [9211] ~left_apart_point(A51_361_14, L52_361_14), ~left_apart_point(A51_361_14, reverse_line(L52_361_14))
% 161.78/27.65
% 161.78/27.65 [9211] CLOSURE : ~left_apart_point(A51_361_14, L52_361_14)
% 161.78/27.65
% 161.78/27.65 [9199] GAMMA_FORALL : ! [A51_51, L52_52] : (~(left_apart_point(A51_51, L52_52) | left_apart_point(A51_51, reverse_line(L52_52))))
% 161.78/27.65 -> [9209] ~(left_apart_point(A51_362_14, L52_362_14) | left_apart_point(A51_362_14, reverse_line(L52_362_14)))
% 161.78/27.65
% 161.78/27.65 [9209] ALPHA_NOT_OR : ~(left_apart_point(A51_362_14, L52_362_14) | left_apart_point(A51_362_14, reverse_line(L52_362_14)))
% 161.78/27.65 -> [9212] ~left_apart_point(A51_362_14, L52_362_14), ~left_apart_point(A51_362_14, reverse_line(L52_362_14))
% 161.78/27.65
% 161.78/27.65 [9212] CLOSURE : ~left_apart_point(A51_362_14, L52_362_14)
% 161.78/27.65
% 161.78/27.65 [7887] GAMMA_FORALL : ! [X14_14, Y15_15] : ((equally_directed_lines(X14_14, Y15_15) <=> ~unequally_directed_lines(X14_14, Y15_15)))
% 161.78/27.65 -> [7889] (equally_directed_lines(reverse_line(Y17_28_4), reverse_line(Y17_28_4)) <=> ~unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(Y17_28_4)))
% 161.78/27.65
% 161.78/27.65 [7889] BETA_EQUIV : (equally_directed_lines(reverse_line(Y17_28_4), reverse_line(Y17_28_4)) <=> ~unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(Y17_28_4)))
% 161.78/27.65 -> [7890] ~equally_directed_lines(reverse_line(Y17_28_4), reverse_line(Y17_28_4)), ~~unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(Y17_28_4))
% 161.78/27.65 -> [7891] equally_directed_lines(reverse_line(Y17_28_4), reverse_line(Y17_28_4)), ~unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(Y17_28_4))
% 161.78/27.65
% 161.78/27.65 [7890] ALPHA_NOT_NOT : ~~unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(Y17_28_4))
% 161.78/27.65 -> [7897] unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(Y17_28_4))
% 161.78/27.65
% 161.78/27.65 [7897] CLOSURE : unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(Y17_28_4))
% 161.78/27.65
% 161.78/27.65 [7899] BETA_EQUIV : (equally_directed_opposite_lines(reverse_line(Y17_28_4), Y17_28_4) <=> ~unequally_directed_opposite_lines(reverse_line(Y17_28_4), Y17_28_4))
% 161.78/27.65 -> [9458] ~equally_directed_opposite_lines(reverse_line(Y17_28_4), Y17_28_4), ~~unequally_directed_opposite_lines(reverse_line(Y17_28_4), Y17_28_4)
% 161.78/27.65 -> [9459] equally_directed_opposite_lines(reverse_line(Y17_28_4), Y17_28_4), ~unequally_directed_opposite_lines(reverse_line(Y17_28_4), Y17_28_4)
% 161.78/27.65
% 161.78/27.65 [9458] ALPHA_NOT_NOT : ~~unequally_directed_opposite_lines(reverse_line(Y17_28_4), Y17_28_4)
% 161.78/27.65 -> [9460] unequally_directed_opposite_lines(reverse_line(Y17_28_4), Y17_28_4)
% 161.78/27.65
% 161.78/27.65 [9460] CLOSURE : unequally_directed_opposite_lines(reverse_line(Y17_28_4), Y17_28_4)
% 161.78/27.65
% 161.78/27.65 [9462] BETA_IMPLY : (distinct_points(B34_46_6, B34_46_6) => (distinct_points(B34_46_6, B34_46_6) | distinct_points(B34_46_6, B34_46_6)))
% 161.78/27.65 -> [10071] ~distinct_points(B34_46_6, B34_46_6)
% 161.78/27.65 -> [10072] (distinct_points(B34_46_6, B34_46_6) | distinct_points(B34_46_6, B34_46_6))
% 161.78/27.65
% 161.78/27.65 [10071] GAMMA_FORALL : ! [L36_36] : (~distinct_lines(L36_36, L36_36))
% 161.78/27.65 -> [10075] ~distinct_lines(N39_72_8, N39_72_8)
% 161.78/27.65
% 161.78/27.65 [10075] GAMMA_FORALL : ! [L37_37, M38_38, N39_39] : ((distinct_lines(L37_37, M38_38) => (distinct_lines(L37_37, N39_39) | distinct_lines(M38_38, N39_39))))
% 161.78/27.65 -> [10076] (distinct_lines(N39_72_8, N39_72_8) => (distinct_lines(N39_72_8, N39_72_8) | distinct_lines(N39_72_8, N39_72_8)))
% 161.78/27.65
% 161.78/27.65 [10076] BETA_IMPLY : (distinct_lines(N39_72_8, N39_72_8) => (distinct_lines(N39_72_8, N39_72_8) | distinct_lines(N39_72_8, N39_72_8)))
% 161.78/27.65 -> [10077] ~distinct_lines(N39_72_8, N39_72_8)
% 161.78/27.65 -> [10078] (distinct_lines(N39_72_8, N39_72_8) | distinct_lines(N39_72_8, N39_72_8))
% 161.78/27.65
% 161.78/27.65 [10078] BETA_OR : (distinct_lines(N39_72_8, N39_72_8) | distinct_lines(N39_72_8, N39_72_8))
% 161.78/27.65 -> [10079] distinct_lines(N39_72_8, N39_72_8)
% 161.78/27.65 -> [10080] distinct_lines(N39_72_8, N39_72_8)
% 161.78/27.65
% 161.78/27.65 [10079] CLOSURE : distinct_lines(N39_72_8, N39_72_8)
% 161.78/27.65
% 161.78/27.65 [10080] CLOSURE : distinct_lines(N39_72_8, N39_72_8)
% 161.78/27.65
% 161.78/27.65 [10082] BETA_IMPLY : (unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(Y17_28_4)) => (unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(Y17_28_4)) | unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(Y17_28_4))))
% 161.78/27.65 -> [10218] ~unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(Y17_28_4))
% 161.78/27.65 -> [10219] (unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(Y17_28_4)) | unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(Y17_28_4)))
% 161.78/27.65
% 161.78/27.65 [10219] BETA_OR : (unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(Y17_28_4)) | unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(Y17_28_4)))
% 161.78/27.65 -> [10220] unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(Y17_28_4))
% 161.78/27.65 -> [10221] unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(Y17_28_4))
% 161.78/27.65
% 161.78/27.65 [10221] CLOSURE : unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(Y17_28_4))
% 161.78/27.65
% 161.78/27.65 [10220] CLOSURE : unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(Y17_28_4))
% 161.78/27.65
% 161.78/27.65 [10222] BETA_IMPLY : ((unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(Y17_28_4)) & unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(reverse_line(Y17_28_4)))) => ((unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(Y17_28_4)) & unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(reverse_line(Y17_28_4)))) | (unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(Y17_28_4)) & unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(reverse_line(Y17_28_4))))))
% 161.78/27.65 -> [10260] ~(unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(Y17_28_4)) & unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(reverse_line(Y17_28_4))))
% 161.78/27.65 -> [10261] ((unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(Y17_28_4)) & unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(reverse_line(Y17_28_4)))) | (unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(Y17_28_4)) & unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(reverse_line(Y17_28_4)))))
% 161.78/27.65
% 161.78/27.65 [10261] BETA_OR : ((unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(Y17_28_4)) & unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(reverse_line(Y17_28_4)))) | (unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(Y17_28_4)) & unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(reverse_line(Y17_28_4)))))
% 161.78/27.65 -> [10264] (unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(Y17_28_4)) & unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(reverse_line(Y17_28_4))))
% 161.78/27.65 -> [10265] (unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(Y17_28_4)) & unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(reverse_line(Y17_28_4))))
% 161.78/27.65
% 161.78/27.65 [10264] ALPHA_AND : (unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(Y17_28_4)) & unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(reverse_line(Y17_28_4))))
% 161.78/27.65 -> [10266] unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(Y17_28_4)), unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(reverse_line(Y17_28_4)))
% 161.78/27.65
% 161.78/27.65 [10266] CLOSURE : unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(reverse_line(Y17_28_4)))
% 161.78/27.65
% 161.78/27.65 [10267] CLOSURE : unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(Y17_28_4))
% 161.78/27.65
% 161.78/27.65 [10260] BETA_NOT_AND : ~(unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(Y17_28_4)) & unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(reverse_line(Y17_28_4))))
% 161.78/27.65 -> [10291] ~unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(Y17_28_4))
% 161.78/27.65 -> [10292] ~unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(reverse_line(Y17_28_4)))
% 161.78/27.65
% 161.78/27.65 [10292] GAMMA_FORALL : ! [L47_47, M48_48] : ((unequally_directed_lines(L47_47, M48_48) | unequally_directed_lines(L47_47, reverse_line(M48_48))))
% 161.78/27.65 -> [10294] (unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(Y17_28_4)) | unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(reverse_line(Y17_28_4))))
% 161.78/27.65
% 161.78/27.65 [10294] BETA_OR : (unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(Y17_28_4)) | unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(reverse_line(Y17_28_4))))
% 161.78/27.65 -> [10297] unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(Y17_28_4))
% 161.78/27.65 -> [10298] unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(reverse_line(Y17_28_4)))
% 161.78/27.65
% 161.78/27.65 [10297] CLOSURE : unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(Y17_28_4))
% 161.78/27.65
% 161.78/27.65 [10298] CLOSURE : unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(reverse_line(Y17_28_4)))
% 161.78/27.65
% 161.78/27.65 [10291] GAMMA_FORALL : ! [L47_47, M48_48] : ((unequally_directed_lines(L47_47, M48_48) | unequally_directed_lines(L47_47, reverse_line(M48_48))))
% 161.78/27.65 -> [10293] (unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(Y17_28_4)) | unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(reverse_line(Y17_28_4))))
% 161.78/27.65
% 161.78/27.65 [10293] BETA_OR : (unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(Y17_28_4)) | unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(reverse_line(Y17_28_4))))
% 161.78/27.65 -> [10295] unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(Y17_28_4))
% 161.78/27.65 -> [10296] unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(reverse_line(Y17_28_4)))
% 161.78/27.65
% 161.78/27.65 [10295] CLOSURE : unequally_directed_lines(reverse_line(Y17_28_4), reverse_line(Y17_28_4))
% 161.78/27.65
% 161.78/27.65 [10296] GAMMA_FORALL : ! [L49_49, M50_50] : (((unequally_directed_lines(L49_49, M50_50) & unequally_directed_lines(L49_49, reverse_line(M50_50))) => (left_convergent_lines(L49_49, M50_50) | left_convergent_lines(L49_49, reverse_line(M50_50)))))
% 161.78/27.65 -> [10299] ((unequally_directed_lines(line_connecting(skolem_A8989, skolem_B9090), skolem_L9191) & unequally_directed_lines(line_connecting(skolem_A8989, skolem_B9090), reverse_line(skolem_L9191))) => (left_convergent_lines(line_connecting(skolem_A8989, skolem_B9090), skolem_L9191) | left_convergent_lines(line_connecting(skolem_A8989, skolem_B9090), reverse_line(skolem_L9191))))
% 161.78/27.65
% 161.78/27.65 [10299] BETA_IMPLY : ((unequally_directed_lines(line_connecting(skolem_A8989, skolem_B9090), skolem_L9191) & unequally_directed_lines(line_connecting(skolem_A8989, skolem_B9090), reverse_line(skolem_L9191))) => (left_convergent_lines(line_connecting(skolem_A8989, skolem_B9090), skolem_L9191) | left_convergent_lines(line_connecting(skolem_A8989, skolem_B9090), reverse_line(skolem_L9191))))
% 161.78/27.65 -> [10300] ~(unequally_directed_lines(line_connecting(skolem_A8989, skolem_B9090), skolem_L9191) & unequally_directed_lines(line_connecting(skolem_A8989, skolem_B9090), reverse_line(skolem_L9191)))
% 161.78/27.65 -> [10301] (left_convergent_lines(line_connecting(skolem_A8989, skolem_B9090), skolem_L9191) | left_convergent_lines(line_connecting(skolem_A8989, skolem_B9090), reverse_line(skolem_L9191)))
% 161.78/27.65
% 161.78/27.65 [10301] BETA_OR : (left_convergent_lines(line_connecting(skolem_A8989, skolem_B9090), skolem_L9191) | left_convergent_lines(line_connecting(skolem_A8989, skolem_B9090), reverse_line(skolem_L9191)))
% 161.78/27.65 -> [10304] left_convergent_lines(line_connecting(skolem_A8989, skolem_B9090), skolem_L9191)
% 161.78/27.65 -> [10305] left_convergent_lines(line_connecting(skolem_A8989, skolem_B9090), reverse_line(skolem_L9191))
% 161.78/27.65
% 161.78/27.65 [10305] CLOSURE : left_convergent_lines(line_connecting(skolem_A8989, skolem_B9090), reverse_line(skolem_L9191))
% 161.78/27.65
% 161.78/27.65 [10304] CLOSURE : left_convergent_lines(line_connecting(skolem_A8989, skolem_B9090), skolem_L9191)
% 161.78/27.65
% 161.78/27.65 [10300] BETA_NOT_AND : ~(unequally_directed_lines(line_connecting(skolem_A8989, skolem_B9090), skolem_L9191) & unequally_directed_lines(line_connecting(skolem_A8989, skolem_B9090), reverse_line(skolem_L9191)))
% 161.78/27.65 -> [10308] ~unequally_directed_lines(line_connecting(skolem_A8989, skolem_B9090), skolem_L9191)
% 161.78/27.65 -> [10309] ~unequally_directed_lines(line_connecting(skolem_A8989, skolem_B9090), reverse_line(skolem_L9191))
% 161.78/27.65
% 161.78/27.65 [10308] GAMMA_FORALL : ! [A51_51, L52_52] : (~(left_apart_point(A51_51, L52_52) | left_apart_point(A51_51, reverse_line(L52_52))))
% 161.78/27.65 -> [10310] ~(left_apart_point(A51_441_14, L52_441_14) | left_apart_point(A51_441_14, reverse_line(L52_441_14)))
% 161.78/27.65
% 161.78/27.65 [10310] ALPHA_NOT_OR : ~(left_apart_point(A51_441_14, L52_441_14) | left_apart_point(A51_441_14, reverse_line(L52_441_14)))
% 161.78/27.65 -> [10312] ~left_apart_point(A51_441_14, L52_441_14), ~left_apart_point(A51_441_14, reverse_line(L52_441_14))
% 161.78/27.65
% 161.78/27.65 [10312] CLOSURE : ~left_apart_point(A51_441_14, L52_441_14)
% 161.78/27.65
% 161.78/27.65 [10309] GAMMA_FORALL : ! [A51_51, L52_52] : (~(left_apart_point(A51_51, L52_52) | left_apart_point(A51_51, reverse_line(L52_52))))
% 161.78/27.65 -> [10311] ~(left_apart_point(A51_442_14, L52_442_14) | left_apart_point(A51_442_14, reverse_line(L52_442_14)))
% 161.78/27.65
% 161.78/27.65 [10311] ALPHA_NOT_OR : ~(left_apart_point(A51_442_14, L52_442_14) | left_apart_point(A51_442_14, reverse_line(L52_442_14)))
% 161.78/27.65 -> [10313] ~left_apart_point(A51_442_14, L52_442_14), ~left_apart_point(A51_442_14, reverse_line(L52_442_14))
% 161.78/27.65
% 161.78/27.65 [10313] CLOSURE : ~left_apart_point(A51_442_14, L52_442_14)
% 161.78/27.65
% 161.78/27.65 [10072] BETA_OR : (distinct_points(B34_46_6, B34_46_6) | distinct_points(B34_46_6, B34_46_6))
% 161.78/27.65 -> [10314] distinct_points(B34_46_6, B34_46_6)
% 161.78/27.65 -> [10315] distinct_points(B34_46_6, B34_46_6)
% 161.78/27.65
% 161.78/27.65 [10314] CLOSURE : distinct_points(B34_46_6, B34_46_6)
% 161.78/27.65
% 161.78/27.65 [10315] CLOSURE : distinct_points(B34_46_6, B34_46_6)
% 161.78/27.65
% 161.78/27.65 % SZS output end Proof for theBenchmark.p
% 161.78/27.65 [27.298858s][1][Res] 403663 goroutines created
% 161.78/27.65 ==== Result ====
% 161.78/27.65 [27.298896s][1][Res] VALID
% 161.78/27.65 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------