TSTP Solution File: GEO239+3 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : GEO239+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n023.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 15:18:38 EDT 2022
% Result : Theorem 117.01s 25.78s
% Output : Proof 117.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO239+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Aug 31 07:29:49 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 [DMT] DMT loaded with preskolemization
% 0.12/0.34 [EQ] equality loaded.
% 0.12/0.34 [0.000037s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.34 Conjecture not found
% 0.12/0.34 Start search
% 0.19/0.34 nb_step : 1 - limit : 37
% 0.19/0.34 Launch Gotab with destructive = true
% 117.01/25.75 % SZS output start Proof for theBenchmark.p
% 117.01/25.77 [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] : (((incident_point_and_line(A89_89, L91_91) & left_apart_point(B90_90, L91_91)) => left_convergent_lines(L91_91, line_connecting(A89_89, B90_90)))))
% 117.01/25.77 -> [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] : (((incident_point_and_line(A89_89, L91_91) & left_apart_point(B90_90, L91_91)) => left_convergent_lines(L91_91, line_connecting(A89_89, B90_90))))
% 117.01/25.77
% 117.01/25.77 [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)))))
% 117.01/25.77 -> [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))))
% 117.01/25.77
% 117.01/25.77 [2] DELTA_NOT_FORALL : ~! [A89_89, B90_90, L91_91] : (((incident_point_and_line(A89_89, L91_91) & left_apart_point(B90_90, L91_91)) => left_convergent_lines(L91_91, line_connecting(A89_89, B90_90))))
% 117.01/25.77 -> [3] ~((incident_point_and_line(skolem_A8989, skolem_L9191) & left_apart_point(skolem_B9090, skolem_L9191)) => left_convergent_lines(skolem_L9191, line_connecting(skolem_A8989, skolem_B9090)))
% 117.01/25.77
% 117.01/25.77 [3] ALPHA_NOT_IMPLY : ~((incident_point_and_line(skolem_A8989, skolem_L9191) & left_apart_point(skolem_B9090, skolem_L9191)) => left_convergent_lines(skolem_L9191, line_connecting(skolem_A8989, skolem_B9090)))
% 117.01/25.77 -> [4] (incident_point_and_line(skolem_A8989, skolem_L9191) & left_apart_point(skolem_B9090, skolem_L9191)), ~left_convergent_lines(skolem_L9191, line_connecting(skolem_A8989, skolem_B9090))
% 117.01/25.77
% 117.01/25.77 [4] ALPHA_AND : (incident_point_and_line(skolem_A8989, skolem_L9191) & left_apart_point(skolem_B9090, skolem_L9191))
% 117.01/25.77 -> [5] incident_point_and_line(skolem_A8989, skolem_L9191), left_apart_point(skolem_B9090, skolem_L9191)
% 117.01/25.77
% 117.01/25.77 [5] GAMMA_FORALL : ! [X8_8, Y9_9] : ((unequally_directed_opposite_lines(X8_8, Y9_9) <=> unequally_directed_lines(X8_8, reverse_line(Y9_9))))
% 117.01/25.77 -> [6] (unequally_directed_opposite_lines(reverse_line(Y17_8_4), Y17_8_4) <=> unequally_directed_lines(reverse_line(Y17_8_4), reverse_line(Y17_8_4)))
% 117.01/25.77
% 117.01/25.77 [6] BETA_EQUIV : (unequally_directed_opposite_lines(reverse_line(Y17_8_4), Y17_8_4) <=> unequally_directed_lines(reverse_line(Y17_8_4), reverse_line(Y17_8_4)))
% 117.01/25.77 -> [7] ~unequally_directed_opposite_lines(reverse_line(Y17_8_4), Y17_8_4), ~unequally_directed_lines(reverse_line(Y17_8_4), reverse_line(Y17_8_4))
% 117.01/25.77 -> [8] unequally_directed_opposite_lines(reverse_line(Y17_8_4), Y17_8_4), unequally_directed_lines(reverse_line(Y17_8_4), reverse_line(Y17_8_4))
% 117.01/25.77
% 117.01/25.77 [8] GAMMA_FORALL : ! [X10_10, Y11_11] : ((right_apart_point(X10_10, Y11_11) <=> left_apart_point(X10_10, reverse_line(Y11_11))))
% 117.01/25.77 -> [12] (right_apart_point(X10_1_1, Y11_1_1) <=> left_apart_point(X10_1_1, reverse_line(Y11_1_1)))
% 117.01/25.77
% 117.01/25.77 [12] BETA_EQUIV : (right_apart_point(X10_1_1, Y11_1_1) <=> left_apart_point(X10_1_1, reverse_line(Y11_1_1)))
% 117.01/25.77 -> [13] ~right_apart_point(X10_1_1, Y11_1_1), ~left_apart_point(X10_1_1, reverse_line(Y11_1_1))
% 117.01/25.77 -> [14] right_apart_point(X10_1_1, Y11_1_1), left_apart_point(X10_1_1, reverse_line(Y11_1_1))
% 117.01/25.77
% 117.01/25.77 [13] GAMMA_FORALL : ! [X12_12, Y13_13] : ((right_convergent_lines(X12_12, Y13_13) <=> left_convergent_lines(X12_12, reverse_line(Y13_13))))
% 117.01/25.77 -> [22] (right_convergent_lines(X12_3_2, Y13_3_2) <=> left_convergent_lines(X12_3_2, reverse_line(Y13_3_2)))
% 117.01/25.77
% 117.01/25.77 [22] BETA_EQUIV : (right_convergent_lines(X12_3_2, Y13_3_2) <=> left_convergent_lines(X12_3_2, reverse_line(Y13_3_2)))
% 117.01/25.77 -> [25] ~right_convergent_lines(X12_3_2, Y13_3_2), ~left_convergent_lines(X12_3_2, reverse_line(Y13_3_2))
% 117.01/25.77 -> [26] right_convergent_lines(X12_3_2, Y13_3_2), left_convergent_lines(X12_3_2, reverse_line(Y13_3_2))
% 117.01/25.77
% 117.01/25.77 [25] GAMMA_FORALL : ! [X14_14, Y15_15] : ((equally_directed_lines(X14_14, Y15_15) <=> ~unequally_directed_lines(X14_14, Y15_15)))
% 117.01/25.77 -> [46] (equally_directed_lines(reverse_line(Y17_8_4), reverse_line(Y17_8_4)) <=> ~unequally_directed_lines(reverse_line(Y17_8_4), reverse_line(Y17_8_4)))
% 117.01/25.77
% 117.01/25.77 [46] BETA_EQUIV : (equally_directed_lines(reverse_line(Y17_8_4), reverse_line(Y17_8_4)) <=> ~unequally_directed_lines(reverse_line(Y17_8_4), reverse_line(Y17_8_4)))
% 117.01/25.77 -> [48] ~equally_directed_lines(reverse_line(Y17_8_4), reverse_line(Y17_8_4)), ~~unequally_directed_lines(reverse_line(Y17_8_4), reverse_line(Y17_8_4))
% 117.01/25.77 -> [49] equally_directed_lines(reverse_line(Y17_8_4), reverse_line(Y17_8_4)), ~unequally_directed_lines(reverse_line(Y17_8_4), reverse_line(Y17_8_4))
% 117.01/25.77
% 117.01/25.77 [48] ALPHA_NOT_NOT : ~~unequally_directed_lines(reverse_line(Y17_8_4), reverse_line(Y17_8_4))
% 117.01/25.77 -> [61] unequally_directed_lines(reverse_line(Y17_8_4), reverse_line(Y17_8_4))
% 117.01/25.77
% 117.01/25.77 [61] GAMMA_FORALL : ! [X16_16, Y17_17] : ((equally_directed_opposite_lines(X16_16, Y17_17) <=> ~unequally_directed_opposite_lines(X16_16, Y17_17)))
% 117.01/25.77 -> [82] (equally_directed_opposite_lines(X16_7_4, Y17_7_4) <=> ~unequally_directed_opposite_lines(X16_7_4, Y17_7_4))
% 117.01/25.77
% 117.01/25.77 [82] BETA_EQUIV : (equally_directed_opposite_lines(X16_7_4, Y17_7_4) <=> ~unequally_directed_opposite_lines(X16_7_4, Y17_7_4))
% 117.01/25.77 -> [85] ~equally_directed_opposite_lines(X16_7_4, Y17_7_4), ~~unequally_directed_opposite_lines(X16_7_4, Y17_7_4)
% 117.01/25.77 -> [86] equally_directed_opposite_lines(X16_7_4, Y17_7_4), ~unequally_directed_opposite_lines(X16_7_4, Y17_7_4)
% 117.01/25.77
% 117.01/25.77 [86] CLOSURE : ~unequally_directed_opposite_lines(X16_7_4, Y17_7_4)
% 117.01/25.77
% 117.01/25.77 [148] BETA_IMPLY : (distinct_points(C35_6_6, C35_6_6) => (distinct_points(C35_6_6, C35_6_6) | distinct_points(C35_6_6, C35_6_6)))
% 117.01/25.77 -> [325] ~distinct_points(C35_6_6, C35_6_6)
% 117.01/25.77 -> [326] (distinct_points(C35_6_6, C35_6_6) | distinct_points(C35_6_6, C35_6_6))
% 117.01/25.77
% 117.01/25.77 [326] BETA_OR : (distinct_points(C35_6_6, C35_6_6) | distinct_points(C35_6_6, C35_6_6))
% 117.01/25.77 -> [327] distinct_points(C35_6_6, C35_6_6)
% 117.01/25.77 -> [328] distinct_points(C35_6_6, C35_6_6)
% 117.01/25.77
% 117.01/25.77 [328] CLOSURE : distinct_points(C35_6_6, C35_6_6)
% 117.01/25.77
% 117.01/25.77 [327] CLOSURE : distinct_points(C35_6_6, C35_6_6)
% 117.01/25.77
% 117.01/25.77 [337] BETA_IMPLY : (distinct_lines(L37_8_8, L37_8_8) => (distinct_lines(L37_8_8, L37_8_8) | distinct_lines(L37_8_8, L37_8_8)))
% 117.01/25.77 -> [429] ~distinct_lines(L37_8_8, L37_8_8)
% 117.01/25.77 -> [430] (distinct_lines(L37_8_8, L37_8_8) | distinct_lines(L37_8_8, L37_8_8))
% 117.01/25.77
% 117.01/25.77 [429] GAMMA_FORALL : ! [L40_40] : (equally_directed_lines(L40_40, L40_40))
% 117.01/25.77 -> [442] equally_directed_lines(L40_15_9, L40_15_9)
% 117.01/25.77
% 117.01/25.77 [442] CLOSURE : equally_directed_lines(L40_15_9, L40_15_9)
% 117.01/25.77
% 117.01/25.77 [430] BETA_OR : (distinct_lines(L37_8_8, L37_8_8) | distinct_lines(L37_8_8, L37_8_8))
% 117.01/25.77 -> [450] distinct_lines(L37_8_8, L37_8_8)
% 117.01/25.77 -> [451] distinct_lines(L37_8_8, L37_8_8)
% 117.01/25.77
% 117.01/25.77 [451] CLOSURE : distinct_lines(L37_8_8, L37_8_8)
% 117.01/25.77
% 117.01/25.77 [450] CLOSURE : distinct_lines(L37_8_8, L37_8_8)
% 117.01/25.77
% 117.01/25.77 [49] CLOSURE : ~unequally_directed_lines(reverse_line(Y17_8_4), reverse_line(Y17_8_4))
% 117.01/25.77
% 117.01/25.77 [47] BETA_EQUIV : (equally_directed_lines(reverse_line(Y17_8_4), reverse_line(Y17_8_4)) <=> ~unequally_directed_lines(reverse_line(Y17_8_4), reverse_line(Y17_8_4)))
% 117.01/25.77 -> [588] ~equally_directed_lines(reverse_line(Y17_8_4), reverse_line(Y17_8_4)), ~~unequally_directed_lines(reverse_line(Y17_8_4), reverse_line(Y17_8_4))
% 117.01/25.77 -> [589] equally_directed_lines(reverse_line(Y17_8_4), reverse_line(Y17_8_4)), ~unequally_directed_lines(reverse_line(Y17_8_4), reverse_line(Y17_8_4))
% 117.01/25.77
% 117.01/25.77 [589] CLOSURE : ~unequally_directed_lines(reverse_line(Y17_8_4), reverse_line(Y17_8_4))
% 117.01/25.77
% 117.01/25.77 [598] BETA_EQUIV : (equally_directed_opposite_lines(reverse_line(Y17_8_4), Y17_8_4) <=> ~unequally_directed_opposite_lines(reverse_line(Y17_8_4), Y17_8_4))
% 117.01/25.77 -> [783] ~equally_directed_opposite_lines(reverse_line(Y17_8_4), Y17_8_4), ~~unequally_directed_opposite_lines(reverse_line(Y17_8_4), Y17_8_4)
% 117.01/25.77 -> [784] equally_directed_opposite_lines(reverse_line(Y17_8_4), Y17_8_4), ~unequally_directed_opposite_lines(reverse_line(Y17_8_4), Y17_8_4)
% 117.01/25.77
% 117.01/25.77 [784] CLOSURE : ~unequally_directed_opposite_lines(reverse_line(Y17_8_4), Y17_8_4)
% 117.01/25.77
% 117.01/25.77 [783] ALPHA_NOT_NOT : ~~unequally_directed_opposite_lines(reverse_line(Y17_8_4), Y17_8_4)
% 117.01/25.77 -> [785] unequally_directed_opposite_lines(reverse_line(Y17_8_4), Y17_8_4)
% 117.01/25.77
% 117.01/25.77 [785] GAMMA_FORALL : ! [A32_32] : (~distinct_points(A32_32, A32_32))
% 117.01/25.77 -> [797] ~distinct_points(C35_13_6, C35_13_6)
% 117.01/25.77
% 117.01/25.77 [797] 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))))
% 117.01/25.77 -> [798] (distinct_points(C35_13_6, C35_13_6) => (distinct_points(C35_13_6, C35_13_6) | distinct_points(C35_13_6, C35_13_6)))
% 117.01/25.77
% 117.01/25.77 [798] 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)))
% 117.01/25.77 -> [799] ~distinct_points(C35_13_6, C35_13_6)
% 117.01/25.77 -> [800] (distinct_points(C35_13_6, C35_13_6) | distinct_points(C35_13_6, C35_13_6))
% 117.01/25.77
% 117.01/25.77 [800] BETA_OR : (distinct_points(C35_13_6, C35_13_6) | distinct_points(C35_13_6, C35_13_6))
% 117.01/25.77 -> [801] distinct_points(C35_13_6, C35_13_6)
% 117.01/25.77 -> [802] distinct_points(C35_13_6, C35_13_6)
% 117.01/25.77
% 117.01/25.77 [801] CLOSURE : distinct_points(C35_13_6, C35_13_6)
% 117.01/25.77
% 117.01/25.77 [802] CLOSURE : distinct_points(C35_13_6, C35_13_6)
% 117.01/25.77
% 117.01/25.77 [799] GAMMA_FORALL : ! [L36_36] : (~distinct_lines(L36_36, L36_36))
% 117.01/25.77 -> [803] ~distinct_lines(N39_15_8, N39_15_8)
% 117.01/25.77
% 117.01/25.77 [803] 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))))
% 117.01/25.77 -> [810] (distinct_lines(N39_15_8, N39_15_8) => (distinct_lines(N39_15_8, N39_15_8) | distinct_lines(N39_15_8, N39_15_8)))
% 117.01/25.77
% 117.01/25.77 [810] BETA_IMPLY : (distinct_lines(N39_15_8, N39_15_8) => (distinct_lines(N39_15_8, N39_15_8) | distinct_lines(N39_15_8, N39_15_8)))
% 117.01/25.77 -> [811] ~distinct_lines(N39_15_8, N39_15_8)
% 117.01/25.77 -> [812] (distinct_lines(N39_15_8, N39_15_8) | distinct_lines(N39_15_8, N39_15_8))
% 117.01/25.77
% 117.01/25.77 [811] GAMMA_FORALL : ! [L40_40] : (equally_directed_lines(L40_40, L40_40))
% 117.01/25.77 -> [825] equally_directed_lines(L40_26_9, L40_26_9)
% 117.01/25.77
% 117.01/25.77 [825] CLOSURE : equally_directed_lines(L40_26_9, L40_26_9)
% 117.01/25.77
% 117.01/25.77 [812] BETA_OR : (distinct_lines(N39_15_8, N39_15_8) | distinct_lines(N39_15_8, N39_15_8))
% 117.01/25.77 -> [813] distinct_lines(N39_15_8, N39_15_8)
% 117.01/25.77 -> [814] distinct_lines(N39_15_8, N39_15_8)
% 117.01/25.77
% 117.01/25.77 [813] CLOSURE : distinct_lines(N39_15_8, N39_15_8)
% 117.01/25.77
% 117.01/25.77 [814] CLOSURE : distinct_lines(N39_15_8, N39_15_8)
% 117.01/25.77
% 117.01/25.77 [18] BETA_EQUIV : (right_convergent_lines(X12_1_2, Y13_1_2) <=> left_convergent_lines(X12_1_2, reverse_line(Y13_1_2)))
% 117.01/25.77 -> [987] ~right_convergent_lines(X12_1_2, Y13_1_2), ~left_convergent_lines(X12_1_2, reverse_line(Y13_1_2))
% 117.01/25.77 -> [988] right_convergent_lines(X12_1_2, Y13_1_2), left_convergent_lines(X12_1_2, reverse_line(Y13_1_2))
% 117.01/25.77
% 117.01/25.77 [988] GAMMA_FORALL : ! [X14_14, Y15_15] : ((equally_directed_lines(X14_14, Y15_15) <=> ~unequally_directed_lines(X14_14, Y15_15)))
% 117.01/25.77 -> [997] (equally_directed_lines(reverse_line(Y17_10_4), reverse_line(Y17_10_4)) <=> ~unequally_directed_lines(reverse_line(Y17_10_4), reverse_line(Y17_10_4)))
% 117.01/25.77
% 117.01/25.77 [997] BETA_EQUIV : (equally_directed_lines(reverse_line(Y17_10_4), reverse_line(Y17_10_4)) <=> ~unequally_directed_lines(reverse_line(Y17_10_4), reverse_line(Y17_10_4)))
% 117.01/25.77 -> [999] ~equally_directed_lines(reverse_line(Y17_10_4), reverse_line(Y17_10_4)), ~~unequally_directed_lines(reverse_line(Y17_10_4), reverse_line(Y17_10_4))
% 117.01/25.77 -> [1000] equally_directed_lines(reverse_line(Y17_10_4), reverse_line(Y17_10_4)), ~unequally_directed_lines(reverse_line(Y17_10_4), reverse_line(Y17_10_4))
% 117.01/25.77
% 117.01/25.77 [1000] CLOSURE : ~unequally_directed_lines(reverse_line(Y17_10_4), reverse_line(Y17_10_4))
% 117.01/25.77
% 117.01/25.77 [1028] BETA_EQUIV : (equally_directed_opposite_lines(reverse_line(Y17_10_4), Y17_10_4) <=> ~unequally_directed_opposite_lines(reverse_line(Y17_10_4), Y17_10_4))
% 117.01/25.77 -> [1159] ~equally_directed_opposite_lines(reverse_line(Y17_10_4), Y17_10_4), ~~unequally_directed_opposite_lines(reverse_line(Y17_10_4), Y17_10_4)
% 117.01/25.77 -> [1160] equally_directed_opposite_lines(reverse_line(Y17_10_4), Y17_10_4), ~unequally_directed_opposite_lines(reverse_line(Y17_10_4), Y17_10_4)
% 117.01/25.77
% 117.01/25.77 [1160] CLOSURE : ~unequally_directed_opposite_lines(reverse_line(Y17_10_4), Y17_10_4)
% 117.01/25.77
% 117.01/25.77 [1159] ALPHA_NOT_NOT : ~~unequally_directed_opposite_lines(reverse_line(Y17_10_4), Y17_10_4)
% 117.01/25.77 -> [1161] unequally_directed_opposite_lines(reverse_line(Y17_10_4), Y17_10_4)
% 117.01/25.77
% 117.01/25.77 [1161] GAMMA_FORALL : ! [A32_32] : (~distinct_points(A32_32, A32_32))
% 117.01/25.77 -> [1162] ~distinct_points(C35_17_6, C35_17_6)
% 117.01/25.77
% 117.01/25.77 [1162] 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))))
% 117.01/25.77 -> [1165] (distinct_points(C35_17_6, C35_17_6) => (distinct_points(C35_17_6, C35_17_6) | distinct_points(C35_17_6, C35_17_6)))
% 117.01/25.77
% 117.01/25.77 [1165] BETA_IMPLY : (distinct_points(C35_17_6, C35_17_6) => (distinct_points(C35_17_6, C35_17_6) | distinct_points(C35_17_6, C35_17_6)))
% 117.01/25.77 -> [1166] ~distinct_points(C35_17_6, C35_17_6)
% 117.01/25.77 -> [1167] (distinct_points(C35_17_6, C35_17_6) | distinct_points(C35_17_6, C35_17_6))
% 117.01/25.77
% 117.01/25.77 [1167] BETA_OR : (distinct_points(C35_17_6, C35_17_6) | distinct_points(C35_17_6, C35_17_6))
% 117.01/25.77 -> [1170] distinct_points(C35_17_6, C35_17_6)
% 117.01/25.77 -> [1171] distinct_points(C35_17_6, C35_17_6)
% 117.01/25.77
% 117.01/25.77 [1171] CLOSURE : distinct_points(C35_17_6, C35_17_6)
% 117.01/25.77
% 117.01/25.77 [1170] CLOSURE : distinct_points(C35_17_6, C35_17_6)
% 117.01/25.77
% 117.01/25.77 [1166] GAMMA_FORALL : ! [L36_36] : (~distinct_lines(L36_36, L36_36))
% 117.01/25.77 -> [1176] ~distinct_lines(N39_21_8, N39_21_8)
% 117.01/25.77
% 117.01/25.77 [1176] 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))))
% 117.01/25.77 -> [1178] (distinct_lines(N39_21_8, N39_21_8) => (distinct_lines(N39_21_8, N39_21_8) | distinct_lines(N39_21_8, N39_21_8)))
% 117.01/25.77
% 117.01/25.77 [1178] BETA_IMPLY : (distinct_lines(N39_21_8, N39_21_8) => (distinct_lines(N39_21_8, N39_21_8) | distinct_lines(N39_21_8, N39_21_8)))
% 117.01/25.77 -> [1179] ~distinct_lines(N39_21_8, N39_21_8)
% 117.01/25.77 -> [1180] (distinct_lines(N39_21_8, N39_21_8) | distinct_lines(N39_21_8, N39_21_8))
% 117.01/25.77
% 117.01/25.77 [1179] GAMMA_FORALL : ! [L40_40] : (equally_directed_lines(L40_40, L40_40))
% 117.01/25.77 -> [1193] equally_directed_lines(L40_39_9, L40_39_9)
% 117.01/25.77
% 117.01/25.77 [1193] CLOSURE : equally_directed_lines(L40_39_9, L40_39_9)
% 117.01/25.77
% 117.01/25.77 [1180] BETA_OR : (distinct_lines(N39_21_8, N39_21_8) | distinct_lines(N39_21_8, N39_21_8))
% 117.01/25.77 -> [1186] distinct_lines(N39_21_8, N39_21_8)
% 117.01/25.77 -> [1187] distinct_lines(N39_21_8, N39_21_8)
% 117.01/25.77
% 117.01/25.77 [1187] CLOSURE : distinct_lines(N39_21_8, N39_21_8)
% 117.01/25.77
% 117.01/25.77 [1186] CLOSURE : distinct_lines(N39_21_8, N39_21_8)
% 117.01/25.77
% 117.01/25.77 [987] GAMMA_FORALL : ! [X14_14, Y15_15] : ((equally_directed_lines(X14_14, Y15_15) <=> ~unequally_directed_lines(X14_14, Y15_15)))
% 117.01/25.77 -> [1003] (equally_directed_lines(reverse_line(Y17_11_4), reverse_line(Y17_11_4)) <=> ~unequally_directed_lines(reverse_line(Y17_11_4), reverse_line(Y17_11_4)))
% 117.01/25.77
% 117.01/25.77 [1003] BETA_EQUIV : (equally_directed_lines(reverse_line(Y17_11_4), reverse_line(Y17_11_4)) <=> ~unequally_directed_lines(reverse_line(Y17_11_4), reverse_line(Y17_11_4)))
% 117.01/25.77 -> [1004] ~equally_directed_lines(reverse_line(Y17_11_4), reverse_line(Y17_11_4)), ~~unequally_directed_lines(reverse_line(Y17_11_4), reverse_line(Y17_11_4))
% 117.01/25.77 -> [1005] equally_directed_lines(reverse_line(Y17_11_4), reverse_line(Y17_11_4)), ~unequally_directed_lines(reverse_line(Y17_11_4), reverse_line(Y17_11_4))
% 117.01/25.77
% 117.01/25.77 [1005] CLOSURE : ~unequally_directed_lines(reverse_line(Y17_11_4), reverse_line(Y17_11_4))
% 117.01/25.77
% 117.01/25.77 [1033] BETA_EQUIV : (equally_directed_opposite_lines(reverse_line(Y17_11_4), Y17_11_4) <=> ~unequally_directed_opposite_lines(reverse_line(Y17_11_4), Y17_11_4))
% 117.01/25.77 -> [1225] ~equally_directed_opposite_lines(reverse_line(Y17_11_4), Y17_11_4), ~~unequally_directed_opposite_lines(reverse_line(Y17_11_4), Y17_11_4)
% 117.01/25.77 -> [1226] equally_directed_opposite_lines(reverse_line(Y17_11_4), Y17_11_4), ~unequally_directed_opposite_lines(reverse_line(Y17_11_4), Y17_11_4)
% 117.01/25.77
% 117.01/25.77 [1226] CLOSURE : ~unequally_directed_opposite_lines(reverse_line(Y17_11_4), Y17_11_4)
% 117.01/25.77
% 117.01/25.77 [1225] ALPHA_NOT_NOT : ~~unequally_directed_opposite_lines(reverse_line(Y17_11_4), Y17_11_4)
% 117.01/25.77 -> [1238] unequally_directed_opposite_lines(reverse_line(Y17_11_4), Y17_11_4)
% 117.01/25.77
% 117.01/25.77 [1238] GAMMA_FORALL : ! [A32_32] : (~distinct_points(A32_32, A32_32))
% 117.01/25.77 -> [1245] ~distinct_points(C35_19_6, C35_19_6)
% 117.01/25.77
% 117.01/25.77 [1245] 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))))
% 117.01/25.77 -> [1251] (distinct_points(C35_19_6, C35_19_6) => (distinct_points(C35_19_6, C35_19_6) | distinct_points(C35_19_6, C35_19_6)))
% 117.01/25.77
% 117.01/25.77 [1251] 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)))
% 117.01/25.77 -> [1254] ~distinct_points(C35_19_6, C35_19_6)
% 117.01/25.77 -> [1255] (distinct_points(C35_19_6, C35_19_6) | distinct_points(C35_19_6, C35_19_6))
% 117.01/25.77
% 117.01/25.77 [1255] BETA_OR : (distinct_points(C35_19_6, C35_19_6) | distinct_points(C35_19_6, C35_19_6))
% 117.01/25.77 -> [1256] distinct_points(C35_19_6, C35_19_6)
% 117.01/25.77 -> [1257] distinct_points(C35_19_6, C35_19_6)
% 117.01/25.77
% 117.01/25.77 [1257] CLOSURE : distinct_points(C35_19_6, C35_19_6)
% 117.01/25.77
% 117.01/25.77 [1256] CLOSURE : distinct_points(C35_19_6, C35_19_6)
% 117.01/25.77
% 117.01/25.77 [1254] GAMMA_FORALL : ! [L36_36] : (~distinct_lines(L36_36, L36_36))
% 117.01/25.77 -> [1266] ~distinct_lines(N39_24_8, N39_24_8)
% 117.01/25.77
% 117.01/25.77 [1266] 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))))
% 117.01/25.77 -> [1268] (distinct_lines(N39_24_8, N39_24_8) => (distinct_lines(N39_24_8, N39_24_8) | distinct_lines(N39_24_8, N39_24_8)))
% 117.01/25.77
% 117.01/25.77 [1268] BETA_IMPLY : (distinct_lines(N39_24_8, N39_24_8) => (distinct_lines(N39_24_8, N39_24_8) | distinct_lines(N39_24_8, N39_24_8)))
% 117.01/25.77 -> [1269] ~distinct_lines(N39_24_8, N39_24_8)
% 117.01/25.77 -> [1270] (distinct_lines(N39_24_8, N39_24_8) | distinct_lines(N39_24_8, N39_24_8))
% 117.01/25.77
% 117.01/25.77 [1269] GAMMA_FORALL : ! [L40_40] : (equally_directed_lines(L40_40, L40_40))
% 117.01/25.77 -> [1275] equally_directed_lines(L40_42_9, L40_42_9)
% 117.01/25.77
% 117.01/25.77 [1275] CLOSURE : equally_directed_lines(L40_42_9, L40_42_9)
% 117.01/25.77
% 117.01/25.77 [1270] BETA_OR : (distinct_lines(N39_24_8, N39_24_8) | distinct_lines(N39_24_8, N39_24_8))
% 117.01/25.77 -> [1273] distinct_lines(N39_24_8, N39_24_8)
% 117.01/25.77 -> [1274] distinct_lines(N39_24_8, N39_24_8)
% 117.01/25.77
% 117.01/25.77 [1273] CLOSURE : distinct_lines(N39_24_8, N39_24_8)
% 117.01/25.77
% 117.01/25.77 [1274] CLOSURE : distinct_lines(N39_24_8, N39_24_8)
% 117.01/25.77
% 117.01/25.77 [9] BETA_EQUIV : (right_apart_point(X10_0_1, Y11_0_1) <=> left_apart_point(X10_0_1, reverse_line(Y11_0_1)))
% 117.01/25.77 -> [4536] ~right_apart_point(X10_0_1, Y11_0_1), ~left_apart_point(X10_0_1, reverse_line(Y11_0_1))
% 117.01/25.77 -> [4537] right_apart_point(X10_0_1, Y11_0_1), left_apart_point(X10_0_1, reverse_line(Y11_0_1))
% 117.01/25.77
% 117.01/25.77 [4536] GAMMA_FORALL : ! [X12_12, Y13_13] : ((right_convergent_lines(X12_12, Y13_13) <=> left_convergent_lines(X12_12, reverse_line(Y13_13))))
% 117.01/25.77 -> [4538] (right_convergent_lines(reverse_line(Y17_19_4), reverse_line(reverse_line(Y17_19_4))) <=> left_convergent_lines(reverse_line(Y17_19_4), reverse_line(reverse_line(reverse_line(Y17_19_4)))))
% 117.01/25.77
% 117.01/25.77 [4538] BETA_EQUIV : (right_convergent_lines(reverse_line(Y17_19_4), reverse_line(reverse_line(Y17_19_4))) <=> left_convergent_lines(reverse_line(Y17_19_4), reverse_line(reverse_line(reverse_line(Y17_19_4)))))
% 117.01/25.77 -> [4540] ~right_convergent_lines(reverse_line(Y17_19_4), reverse_line(reverse_line(Y17_19_4))), ~left_convergent_lines(reverse_line(Y17_19_4), reverse_line(reverse_line(reverse_line(Y17_19_4))))
% 117.01/25.77 -> [4541] right_convergent_lines(reverse_line(Y17_19_4), reverse_line(reverse_line(Y17_19_4))), left_convergent_lines(reverse_line(Y17_19_4), reverse_line(reverse_line(reverse_line(Y17_19_4))))
% 117.01/25.77
% 117.01/25.77 [4540] GAMMA_FORALL : ! [X14_14, Y15_15] : ((equally_directed_lines(X14_14, Y15_15) <=> ~unequally_directed_lines(X14_14, Y15_15)))
% 117.01/25.77 -> [4544] (equally_directed_lines(reverse_line(Y17_19_4), reverse_line(Y17_19_4)) <=> ~unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(Y17_19_4)))
% 117.01/25.77
% 117.01/25.77 [4544] BETA_EQUIV : (equally_directed_lines(reverse_line(Y17_19_4), reverse_line(Y17_19_4)) <=> ~unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(Y17_19_4)))
% 117.01/25.77 -> [4546] ~equally_directed_lines(reverse_line(Y17_19_4), reverse_line(Y17_19_4)), ~~unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(Y17_19_4))
% 117.01/25.77 -> [4547] equally_directed_lines(reverse_line(Y17_19_4), reverse_line(Y17_19_4)), ~unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(Y17_19_4))
% 117.01/25.77
% 117.01/25.77 [4546] ALPHA_NOT_NOT : ~~unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(Y17_19_4))
% 117.01/25.77 -> [4556] unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(Y17_19_4))
% 117.01/25.77
% 117.01/25.77 [4556] CLOSURE : unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(Y17_19_4))
% 117.01/25.77
% 117.01/25.77 [4558] BETA_EQUIV : (equally_directed_opposite_lines(reverse_line(Y17_19_4), Y17_19_4) <=> ~unequally_directed_opposite_lines(reverse_line(Y17_19_4), Y17_19_4))
% 117.01/25.77 -> [5681] ~equally_directed_opposite_lines(reverse_line(Y17_19_4), Y17_19_4), ~~unequally_directed_opposite_lines(reverse_line(Y17_19_4), Y17_19_4)
% 117.01/25.77 -> [5682] equally_directed_opposite_lines(reverse_line(Y17_19_4), Y17_19_4), ~unequally_directed_opposite_lines(reverse_line(Y17_19_4), Y17_19_4)
% 117.01/25.77
% 117.01/25.77 [5682] GAMMA_FORALL : ! [A32_32] : (~distinct_points(A32_32, A32_32))
% 117.01/25.77 -> [5687] ~distinct_points(C35_34_6, C35_34_6)
% 117.01/25.77
% 117.01/25.77 [5687] 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))))
% 117.01/25.77 -> [5690] (distinct_points(C35_34_6, C35_34_6) => (distinct_points(C35_34_6, C35_34_6) | distinct_points(C35_34_6, C35_34_6)))
% 117.01/25.77
% 117.01/25.77 [5690] BETA_IMPLY : (distinct_points(C35_34_6, C35_34_6) => (distinct_points(C35_34_6, C35_34_6) | distinct_points(C35_34_6, C35_34_6)))
% 117.01/25.77 -> [5691] ~distinct_points(C35_34_6, C35_34_6)
% 117.01/25.77 -> [5692] (distinct_points(C35_34_6, C35_34_6) | distinct_points(C35_34_6, C35_34_6))
% 117.01/25.77
% 117.01/25.77 [5692] BETA_OR : (distinct_points(C35_34_6, C35_34_6) | distinct_points(C35_34_6, C35_34_6))
% 117.01/25.77 -> [5693] distinct_points(C35_34_6, C35_34_6)
% 117.01/25.77 -> [5694] distinct_points(C35_34_6, C35_34_6)
% 117.01/25.77
% 117.01/25.77 [5694] CLOSURE : distinct_points(C35_34_6, C35_34_6)
% 117.01/25.77
% 117.01/25.77 [5693] CLOSURE : distinct_points(C35_34_6, C35_34_6)
% 117.01/25.77
% 117.01/25.77 [5696] BETA_IMPLY : (distinct_lines(N39_47_8, N39_47_8) => (distinct_lines(N39_47_8, N39_47_8) | distinct_lines(N39_47_8, N39_47_8)))
% 117.01/25.77 -> [6208] ~distinct_lines(N39_47_8, N39_47_8)
% 117.01/25.77 -> [6209] (distinct_lines(N39_47_8, N39_47_8) | distinct_lines(N39_47_8, N39_47_8))
% 117.01/25.77
% 117.01/25.77 [6208] GAMMA_FORALL : ! [L40_40] : (equally_directed_lines(L40_40, L40_40))
% 117.01/25.77 -> [6212] equally_directed_lines(L40_82_9, L40_82_9)
% 117.01/25.77
% 117.01/25.77 [6212] 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))))
% 117.01/25.77 -> [6213] (unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(Y17_19_4)) => (unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(Y17_19_4)) | unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(Y17_19_4))))
% 117.01/25.77
% 117.01/25.77 [6213] BETA_IMPLY : (unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(Y17_19_4)) => (unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(Y17_19_4)) | unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(Y17_19_4))))
% 117.01/25.77 -> [6214] ~unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(Y17_19_4))
% 117.01/25.77 -> [6215] (unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(Y17_19_4)) | unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(Y17_19_4)))
% 117.01/25.77
% 117.01/25.77 [6215] BETA_OR : (unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(Y17_19_4)) | unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(Y17_19_4)))
% 117.01/25.77 -> [6216] unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(Y17_19_4))
% 117.01/25.77 -> [6217] unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(Y17_19_4))
% 117.01/25.77
% 117.01/25.77 [6217] CLOSURE : unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(Y17_19_4))
% 117.01/25.77
% 117.01/25.77 [6216] CLOSURE : unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(Y17_19_4))
% 117.01/25.77
% 117.01/25.77 [6218] BETA_IMPLY : ((unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(Y17_19_4)) & unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(reverse_line(Y17_19_4)))) => ((unequally_directed_lines(reverse_line(Y17_19_4), Y17_19_4) & unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(Y17_19_4))) | (unequally_directed_lines(reverse_line(Y17_19_4), Y17_19_4) & unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(Y17_19_4)))))
% 117.01/25.77 -> [6338] ~(unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(Y17_19_4)) & unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(reverse_line(Y17_19_4))))
% 117.01/25.77 -> [6339] ((unequally_directed_lines(reverse_line(Y17_19_4), Y17_19_4) & unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(Y17_19_4))) | (unequally_directed_lines(reverse_line(Y17_19_4), Y17_19_4) & unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(Y17_19_4))))
% 117.01/25.77
% 117.01/25.77 [6339] BETA_OR : ((unequally_directed_lines(reverse_line(Y17_19_4), Y17_19_4) & unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(Y17_19_4))) | (unequally_directed_lines(reverse_line(Y17_19_4), Y17_19_4) & unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(Y17_19_4))))
% 117.01/25.77 -> [6345] (unequally_directed_lines(reverse_line(Y17_19_4), Y17_19_4) & unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(Y17_19_4)))
% 117.01/25.77 -> [6346] (unequally_directed_lines(reverse_line(Y17_19_4), Y17_19_4) & unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(Y17_19_4)))
% 117.01/25.77
% 117.01/25.77 [6345] ALPHA_AND : (unequally_directed_lines(reverse_line(Y17_19_4), Y17_19_4) & unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(Y17_19_4)))
% 117.01/25.77 -> [6347] unequally_directed_lines(reverse_line(Y17_19_4), Y17_19_4), unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(Y17_19_4))
% 117.01/25.77
% 117.01/25.77 [6347] CLOSURE : unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(Y17_19_4))
% 117.01/25.77
% 117.01/25.77 [6350] CLOSURE : unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(Y17_19_4))
% 117.01/25.77
% 117.01/25.77 [6338] BETA_NOT_AND : ~(unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(Y17_19_4)) & unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(reverse_line(Y17_19_4))))
% 117.01/25.77 -> [6444] ~unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(Y17_19_4))
% 117.01/25.77 -> [6445] ~unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(reverse_line(Y17_19_4)))
% 117.01/25.77
% 117.01/25.77 [6445] GAMMA_FORALL : ! [L47_47, M48_48] : ((unequally_directed_lines(L47_47, M48_48) | unequally_directed_lines(L47_47, reverse_line(M48_48))))
% 117.01/25.77 -> [6449] (unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(Y17_19_4)) | unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(reverse_line(Y17_19_4))))
% 117.01/25.77
% 117.01/25.77 [6449] BETA_OR : (unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(Y17_19_4)) | unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(reverse_line(Y17_19_4))))
% 117.01/25.77 -> [6450] unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(Y17_19_4))
% 117.01/25.77 -> [6451] unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(reverse_line(Y17_19_4)))
% 117.01/25.77
% 117.01/25.77 [6450] CLOSURE : unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(Y17_19_4))
% 117.01/25.77
% 117.01/25.77 [6451] CLOSURE : unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(reverse_line(Y17_19_4)))
% 117.01/25.77
% 117.01/25.77 [6444] GAMMA_FORALL : ! [L47_47, M48_48] : ((unequally_directed_lines(L47_47, M48_48) | unequally_directed_lines(L47_47, reverse_line(M48_48))))
% 117.01/25.77 -> [6446] (unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(Y17_19_4)) | unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(reverse_line(Y17_19_4))))
% 117.01/25.77
% 117.01/25.77 [6446] BETA_OR : (unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(Y17_19_4)) | unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(reverse_line(Y17_19_4))))
% 117.01/25.77 -> [6447] unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(Y17_19_4))
% 117.01/25.77 -> [6448] unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(reverse_line(Y17_19_4)))
% 117.01/25.77
% 117.01/25.77 [6447] CLOSURE : unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(Y17_19_4))
% 117.01/25.77
% 117.01/25.77 [6448] 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)))))
% 117.01/25.77 -> [6454] ((unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(reverse_line(Y17_19_4))) & unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(reverse_line(reverse_line(Y17_19_4))))) => (left_convergent_lines(reverse_line(Y17_19_4), reverse_line(reverse_line(Y17_19_4))) | left_convergent_lines(reverse_line(Y17_19_4), reverse_line(reverse_line(reverse_line(Y17_19_4))))))
% 117.01/25.77
% 117.01/25.77 [6454] BETA_IMPLY : ((unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(reverse_line(Y17_19_4))) & unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(reverse_line(reverse_line(Y17_19_4))))) => (left_convergent_lines(reverse_line(Y17_19_4), reverse_line(reverse_line(Y17_19_4))) | left_convergent_lines(reverse_line(Y17_19_4), reverse_line(reverse_line(reverse_line(Y17_19_4))))))
% 117.01/25.77 -> [6456] ~(unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(reverse_line(Y17_19_4))) & unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(reverse_line(reverse_line(Y17_19_4)))))
% 117.01/25.77 -> [6457] (left_convergent_lines(reverse_line(Y17_19_4), reverse_line(reverse_line(Y17_19_4))) | left_convergent_lines(reverse_line(Y17_19_4), reverse_line(reverse_line(reverse_line(Y17_19_4)))))
% 117.01/25.77
% 117.01/25.77 [6456] BETA_NOT_AND : ~(unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(reverse_line(Y17_19_4))) & unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(reverse_line(reverse_line(Y17_19_4)))))
% 117.01/25.77 -> [6459] ~unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(reverse_line(Y17_19_4)))
% 117.01/25.77 -> [6460] ~unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(reverse_line(reverse_line(Y17_19_4))))
% 117.01/25.77
% 117.01/25.77 [6459] CLOSURE : ~unequally_directed_lines(reverse_line(Y17_19_4), reverse_line(reverse_line(Y17_19_4)))
% 117.01/25.77
% 117.01/25.77 [6460] GAMMA_FORALL : ! [A51_51, L52_52] : (~(left_apart_point(A51_51, L52_52) | left_apart_point(A51_51, reverse_line(L52_52))))
% 117.01/25.77 -> [6470] ~(left_apart_point(A51_236_14, L52_236_14) | left_apart_point(A51_236_14, reverse_line(L52_236_14)))
% 117.01/25.77
% 117.01/25.77 [6470] ALPHA_NOT_OR : ~(left_apart_point(A51_236_14, L52_236_14) | left_apart_point(A51_236_14, reverse_line(L52_236_14)))
% 117.01/25.77 -> [6471] ~left_apart_point(A51_236_14, L52_236_14), ~left_apart_point(A51_236_14, reverse_line(L52_236_14))
% 117.01/25.77
% 117.01/25.77 [6471] CLOSURE : ~left_apart_point(A51_236_14, L52_236_14)
% 117.01/25.77
% 117.01/25.77 [6457] BETA_OR : (left_convergent_lines(reverse_line(Y17_19_4), reverse_line(reverse_line(Y17_19_4))) | left_convergent_lines(reverse_line(Y17_19_4), reverse_line(reverse_line(reverse_line(Y17_19_4)))))
% 117.01/25.77 -> [6476] left_convergent_lines(reverse_line(Y17_19_4), reverse_line(reverse_line(Y17_19_4)))
% 117.01/25.77 -> [6477] left_convergent_lines(reverse_line(Y17_19_4), reverse_line(reverse_line(reverse_line(Y17_19_4))))
% 117.01/25.77
% 117.01/25.77 [6477] CLOSURE : left_convergent_lines(reverse_line(Y17_19_4), reverse_line(reverse_line(reverse_line(Y17_19_4))))
% 117.01/25.77
% 117.01/25.77 [6476] GAMMA_FORALL : ! [A51_51, L52_52] : (~(left_apart_point(A51_51, L52_52) | left_apart_point(A51_51, reverse_line(L52_52))))
% 117.01/25.77 -> [6486] ~(left_apart_point(A51_239_14, L52_239_14) | left_apart_point(A51_239_14, reverse_line(L52_239_14)))
% 117.01/25.77
% 117.01/25.77 [6486] ALPHA_NOT_OR : ~(left_apart_point(A51_239_14, L52_239_14) | left_apart_point(A51_239_14, reverse_line(L52_239_14)))
% 117.01/25.77 -> [6489] ~left_apart_point(A51_239_14, L52_239_14), ~left_apart_point(A51_239_14, reverse_line(L52_239_14))
% 117.01/25.77
% 117.01/25.77 [6489] CLOSURE : ~left_apart_point(A51_239_14, L52_239_14)
% 117.01/25.77
% 117.01/25.77 [6209] BETA_OR : (distinct_lines(N39_47_8, N39_47_8) | distinct_lines(N39_47_8, N39_47_8))
% 117.01/25.77 -> [6505] distinct_lines(N39_47_8, N39_47_8)
% 117.01/25.77 -> [6506] distinct_lines(N39_47_8, N39_47_8)
% 117.01/25.77
% 117.01/25.77 [6506] CLOSURE : distinct_lines(N39_47_8, N39_47_8)
% 117.01/25.77
% 117.01/25.77 [6505] CLOSURE : distinct_lines(N39_47_8, N39_47_8)
% 117.01/25.77
% 117.01/25.77 [5688] CLOSURE : unequally_directed_opposite_lines(reverse_line(Y17_19_4), Y17_19_4)
% 117.01/25.77
% 117.01/25.77 [4541] GAMMA_FORALL : ! [X14_14, Y15_15] : ((equally_directed_lines(X14_14, Y15_15) <=> ~unequally_directed_lines(X14_14, Y15_15)))
% 117.01/25.77 -> [4548] (equally_directed_lines(reverse_line(Y17_20_4), reverse_line(Y17_20_4)) <=> ~unequally_directed_lines(reverse_line(Y17_20_4), reverse_line(Y17_20_4)))
% 117.01/25.77
% 117.01/25.77 [4548] BETA_EQUIV : (equally_directed_lines(reverse_line(Y17_20_4), reverse_line(Y17_20_4)) <=> ~unequally_directed_lines(reverse_line(Y17_20_4), reverse_line(Y17_20_4)))
% 117.01/25.77 -> [4552] ~equally_directed_lines(reverse_line(Y17_20_4), reverse_line(Y17_20_4)), ~~unequally_directed_lines(reverse_line(Y17_20_4), reverse_line(Y17_20_4))
% 117.01/25.77 -> [4553] equally_directed_lines(reverse_line(Y17_20_4), reverse_line(Y17_20_4)), ~unequally_directed_lines(reverse_line(Y17_20_4), reverse_line(Y17_20_4))
% 117.01/25.77
% 117.01/25.77 [4552] ALPHA_NOT_NOT : ~~unequally_directed_lines(reverse_line(Y17_20_4), reverse_line(Y17_20_4))
% 117.01/25.77 -> [4561] unequally_directed_lines(reverse_line(Y17_20_4), reverse_line(Y17_20_4))
% 117.01/25.77
% 117.01/25.77 [4561] CLOSURE : unequally_directed_lines(reverse_line(Y17_20_4), reverse_line(Y17_20_4))
% 117.01/25.77
% 117.01/25.77 [4563] BETA_EQUIV : (equally_directed_opposite_lines(reverse_line(Y17_20_4), Y17_20_4) <=> ~unequally_directed_opposite_lines(reverse_line(Y17_20_4), Y17_20_4))
% 117.01/25.77 -> [6322] ~equally_directed_opposite_lines(reverse_line(Y17_20_4), Y17_20_4), ~~unequally_directed_opposite_lines(reverse_line(Y17_20_4), Y17_20_4)
% 117.01/25.77 -> [6323] equally_directed_opposite_lines(reverse_line(Y17_20_4), Y17_20_4), ~unequally_directed_opposite_lines(reverse_line(Y17_20_4), Y17_20_4)
% 117.01/25.77
% 117.01/25.77 [6322] ALPHA_NOT_NOT : ~~unequally_directed_opposite_lines(reverse_line(Y17_20_4), Y17_20_4)
% 117.01/25.77 -> [6326] unequally_directed_opposite_lines(reverse_line(Y17_20_4), Y17_20_4)
% 117.01/25.77
% 117.01/25.77 [6326] CLOSURE : unequally_directed_opposite_lines(reverse_line(Y17_20_4), Y17_20_4)
% 117.01/25.77
% 117.01/25.77 [6323] GAMMA_FORALL : ! [A32_32] : (~distinct_points(A32_32, A32_32))
% 117.01/25.77 -> [6331] ~distinct_points(C35_36_6, C35_36_6)
% 117.01/25.77
% 117.01/25.77 [6331] 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))))
% 117.01/25.77 -> [6332] (distinct_points(C35_36_6, C35_36_6) => (distinct_points(C35_36_6, C35_36_6) | distinct_points(C35_36_6, C35_36_6)))
% 117.01/25.77
% 117.01/25.77 [6332] BETA_IMPLY : (distinct_points(C35_36_6, C35_36_6) => (distinct_points(C35_36_6, C35_36_6) | distinct_points(C35_36_6, C35_36_6)))
% 117.01/25.77 -> [6333] ~distinct_points(C35_36_6, C35_36_6)
% 117.01/25.77 -> [6334] (distinct_points(C35_36_6, C35_36_6) | distinct_points(C35_36_6, C35_36_6))
% 117.01/25.77
% 117.01/25.77 [6334] BETA_OR : (distinct_points(C35_36_6, C35_36_6) | distinct_points(C35_36_6, C35_36_6))
% 117.01/25.77 -> [6335] distinct_points(C35_36_6, C35_36_6)
% 117.01/25.77 -> [6336] distinct_points(C35_36_6, C35_36_6)
% 117.01/25.77
% 117.01/25.77 [6336] CLOSURE : distinct_points(C35_36_6, C35_36_6)
% 117.01/25.77
% 117.01/25.77 [6335] CLOSURE : distinct_points(C35_36_6, C35_36_6)
% 117.01/25.77
% 117.01/25.77 [6333] GAMMA_FORALL : ! [L36_36] : (~distinct_lines(L36_36, L36_36))
% 117.01/25.77 -> [6337] ~distinct_lines(N39_51_8, N39_51_8)
% 117.01/25.77
% 117.01/25.77 [6337] 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))))
% 117.01/25.77 -> [6340] (distinct_lines(N39_51_8, N39_51_8) => (distinct_lines(N39_51_8, N39_51_8) | distinct_lines(N39_51_8, N39_51_8)))
% 117.01/25.77
% 117.01/25.77 [6340] BETA_IMPLY : (distinct_lines(N39_51_8, N39_51_8) => (distinct_lines(N39_51_8, N39_51_8) | distinct_lines(N39_51_8, N39_51_8)))
% 117.01/25.77 -> [6341] ~distinct_lines(N39_51_8, N39_51_8)
% 117.01/25.77 -> [6342] (distinct_lines(N39_51_8, N39_51_8) | distinct_lines(N39_51_8, N39_51_8))
% 117.01/25.77
% 117.01/25.77 [6342] BETA_OR : (distinct_lines(N39_51_8, N39_51_8) | distinct_lines(N39_51_8, N39_51_8))
% 117.01/25.77 -> [6348] distinct_lines(N39_51_8, N39_51_8)
% 117.01/25.77 -> [6349] distinct_lines(N39_51_8, N39_51_8)
% 117.01/25.77
% 117.01/25.77 [6348] CLOSURE : distinct_lines(N39_51_8, N39_51_8)
% 117.01/25.77
% 117.01/25.77 [6349] CLOSURE : distinct_lines(N39_51_8, N39_51_8)
% 117.01/25.77
% 117.01/25.77 [6341] GAMMA_FORALL : ! [L40_40] : (equally_directed_lines(L40_40, L40_40))
% 117.01/25.77 -> [6357] equally_directed_lines(L40_84_9, L40_84_9)
% 117.01/25.77
% 117.01/25.77 [6357] 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))))
% 117.01/25.77 -> [6358] (unequally_directed_lines(reverse_line(N46_107_11), reverse_line(N46_107_11)) => (unequally_directed_lines(reverse_line(N46_107_11), reverse_line(N46_107_11)) | unequally_directed_lines(reverse_line(N46_107_11), reverse_line(N46_107_11))))
% 117.01/25.77
% 117.01/25.77 [6358] BETA_IMPLY : (unequally_directed_lines(reverse_line(N46_107_11), reverse_line(N46_107_11)) => (unequally_directed_lines(reverse_line(N46_107_11), reverse_line(N46_107_11)) | unequally_directed_lines(reverse_line(N46_107_11), reverse_line(N46_107_11))))
% 117.01/25.77 -> [6359] ~unequally_directed_lines(reverse_line(N46_107_11), reverse_line(N46_107_11))
% 117.01/25.77 -> [6360] (unequally_directed_lines(reverse_line(N46_107_11), reverse_line(N46_107_11)) | unequally_directed_lines(reverse_line(N46_107_11), reverse_line(N46_107_11)))
% 117.01/25.77
% 117.01/25.77 [6360] BETA_OR : (unequally_directed_lines(reverse_line(N46_107_11), reverse_line(N46_107_11)) | unequally_directed_lines(reverse_line(N46_107_11), reverse_line(N46_107_11)))
% 117.01/25.77 -> [6361] unequally_directed_lines(reverse_line(N46_107_11), reverse_line(N46_107_11))
% 117.01/25.77 -> [6362] unequally_directed_lines(reverse_line(N46_107_11), reverse_line(N46_107_11))
% 117.01/25.77
% 117.01/25.77 [6362] CLOSURE : unequally_directed_lines(reverse_line(N46_107_11), reverse_line(N46_107_11))
% 117.01/25.77
% 117.01/25.77 [6361] CLOSURE : unequally_directed_lines(reverse_line(N46_107_11), reverse_line(N46_107_11))
% 117.01/25.77
% 117.01/25.77 [6363] BETA_IMPLY : ((unequally_directed_lines(reverse_line(N46_107_11), reverse_line(N46_107_11)) & unequally_directed_lines(reverse_line(N46_107_11), reverse_line(reverse_line(N46_107_11)))) => ((unequally_directed_lines(reverse_line(N46_107_11), N46_107_11) & unequally_directed_lines(reverse_line(N46_107_11), reverse_line(N46_107_11))) | (unequally_directed_lines(reverse_line(N46_107_11), N46_107_11) & unequally_directed_lines(reverse_line(N46_107_11), reverse_line(N46_107_11)))))
% 117.01/25.77 -> [6425] ~(unequally_directed_lines(reverse_line(N46_107_11), reverse_line(N46_107_11)) & unequally_directed_lines(reverse_line(N46_107_11), reverse_line(reverse_line(N46_107_11))))
% 117.01/25.77 -> [6426] ((unequally_directed_lines(reverse_line(N46_107_11), N46_107_11) & unequally_directed_lines(reverse_line(N46_107_11), reverse_line(N46_107_11))) | (unequally_directed_lines(reverse_line(N46_107_11), N46_107_11) & unequally_directed_lines(reverse_line(N46_107_11), reverse_line(N46_107_11))))
% 117.01/25.77
% 117.01/25.77 [6426] BETA_OR : ((unequally_directed_lines(reverse_line(N46_107_11), N46_107_11) & unequally_directed_lines(reverse_line(N46_107_11), reverse_line(N46_107_11))) | (unequally_directed_lines(reverse_line(N46_107_11), N46_107_11) & unequally_directed_lines(reverse_line(N46_107_11), reverse_line(N46_107_11))))
% 117.01/25.77 -> [6428] (unequally_directed_lines(reverse_line(N46_107_11), N46_107_11) & unequally_directed_lines(reverse_line(N46_107_11), reverse_line(N46_107_11)))
% 117.01/25.77 -> [6429] (unequally_directed_lines(reverse_line(N46_107_11), N46_107_11) & unequally_directed_lines(reverse_line(N46_107_11), reverse_line(N46_107_11)))
% 117.01/25.77
% 117.01/25.77 [6428] ALPHA_AND : (unequally_directed_lines(reverse_line(N46_107_11), N46_107_11) & unequally_directed_lines(reverse_line(N46_107_11), reverse_line(N46_107_11)))
% 117.01/25.77 -> [6433] unequally_directed_lines(reverse_line(N46_107_11), N46_107_11), unequally_directed_lines(reverse_line(N46_107_11), reverse_line(N46_107_11))
% 117.01/25.77
% 117.01/25.77 [6433] CLOSURE : unequally_directed_lines(reverse_line(N46_107_11), reverse_line(N46_107_11))
% 117.01/25.77
% 117.01/25.77 [6432] CLOSURE : unequally_directed_lines(reverse_line(N46_107_11), reverse_line(N46_107_11))
% 117.01/25.77
% 117.01/25.77 [6425] BETA_NOT_AND : ~(unequally_directed_lines(reverse_line(N46_107_11), reverse_line(N46_107_11)) & unequally_directed_lines(reverse_line(N46_107_11), reverse_line(reverse_line(N46_107_11))))
% 117.01/25.77 -> [6509] ~unequally_directed_lines(reverse_line(N46_107_11), reverse_line(N46_107_11))
% 117.01/25.77 -> [6510] ~unequally_directed_lines(reverse_line(N46_107_11), reverse_line(reverse_line(N46_107_11)))
% 117.01/25.77
% 117.01/25.77 [6510] GAMMA_FORALL : ! [L47_47, M48_48] : ((unequally_directed_lines(L47_47, M48_48) | unequally_directed_lines(L47_47, reverse_line(M48_48))))
% 117.01/25.77 -> [6512] (unequally_directed_lines(reverse_line(N46_107_11), reverse_line(N46_107_11)) | unequally_directed_lines(reverse_line(N46_107_11), reverse_line(reverse_line(N46_107_11))))
% 117.01/25.77
% 117.01/25.77 [6512] BETA_OR : (unequally_directed_lines(reverse_line(N46_107_11), reverse_line(N46_107_11)) | unequally_directed_lines(reverse_line(N46_107_11), reverse_line(reverse_line(N46_107_11))))
% 117.01/25.77 -> [6515] unequally_directed_lines(reverse_line(N46_107_11), reverse_line(N46_107_11))
% 117.01/25.77 -> [6516] unequally_directed_lines(reverse_line(N46_107_11), reverse_line(reverse_line(N46_107_11)))
% 117.01/25.77
% 117.01/25.77 [6515] CLOSURE : unequally_directed_lines(reverse_line(N46_107_11), reverse_line(N46_107_11))
% 117.01/25.77
% 117.01/25.77 [6516] CLOSURE : unequally_directed_lines(reverse_line(N46_107_11), reverse_line(reverse_line(N46_107_11)))
% 117.01/25.77
% 117.01/25.77 [6509] GAMMA_FORALL : ! [L47_47, M48_48] : ((unequally_directed_lines(L47_47, M48_48) | unequally_directed_lines(L47_47, reverse_line(M48_48))))
% 117.01/25.77 -> [6511] (unequally_directed_lines(reverse_line(N46_107_11), reverse_line(N46_107_11)) | unequally_directed_lines(reverse_line(N46_107_11), reverse_line(reverse_line(N46_107_11))))
% 117.01/25.77
% 117.01/25.77 [6511] BETA_OR : (unequally_directed_lines(reverse_line(N46_107_11), reverse_line(N46_107_11)) | unequally_directed_lines(reverse_line(N46_107_11), reverse_line(reverse_line(N46_107_11))))
% 117.01/25.77 -> [6513] unequally_directed_lines(reverse_line(N46_107_11), reverse_line(N46_107_11))
% 117.01/25.77 -> [6514] unequally_directed_lines(reverse_line(N46_107_11), reverse_line(reverse_line(N46_107_11)))
% 117.01/25.77
% 117.01/25.77 [6513] CLOSURE : unequally_directed_lines(reverse_line(N46_107_11), reverse_line(N46_107_11))
% 117.01/25.77
% 117.01/25.77 [6514] 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)))))
% 117.01/25.77 -> [6519] ((unequally_directed_lines(skolem_L9191, line_connecting(skolem_A8989, skolem_B9090)) & unequally_directed_lines(skolem_L9191, reverse_line(line_connecting(skolem_A8989, skolem_B9090)))) => (left_convergent_lines(skolem_L9191, line_connecting(skolem_A8989, skolem_B9090)) | left_convergent_lines(skolem_L9191, reverse_line(line_connecting(skolem_A8989, skolem_B9090)))))
% 117.01/25.77
% 117.01/25.77 [6519] BETA_IMPLY : ((unequally_directed_lines(skolem_L9191, line_connecting(skolem_A8989, skolem_B9090)) & unequally_directed_lines(skolem_L9191, reverse_line(line_connecting(skolem_A8989, skolem_B9090)))) => (left_convergent_lines(skolem_L9191, line_connecting(skolem_A8989, skolem_B9090)) | left_convergent_lines(skolem_L9191, reverse_line(line_connecting(skolem_A8989, skolem_B9090)))))
% 117.01/25.77 -> [6520] ~(unequally_directed_lines(skolem_L9191, line_connecting(skolem_A8989, skolem_B9090)) & unequally_directed_lines(skolem_L9191, reverse_line(line_connecting(skolem_A8989, skolem_B9090))))
% 117.01/25.78 -> [6521] (left_convergent_lines(skolem_L9191, line_connecting(skolem_A8989, skolem_B9090)) | left_convergent_lines(skolem_L9191, reverse_line(line_connecting(skolem_A8989, skolem_B9090))))
% 117.01/25.78
% 117.01/25.78 [6521] BETA_OR : (left_convergent_lines(skolem_L9191, line_connecting(skolem_A8989, skolem_B9090)) | left_convergent_lines(skolem_L9191, reverse_line(line_connecting(skolem_A8989, skolem_B9090))))
% 117.01/25.78 -> [6524] left_convergent_lines(skolem_L9191, line_connecting(skolem_A8989, skolem_B9090))
% 117.01/25.78 -> [6525] left_convergent_lines(skolem_L9191, reverse_line(line_connecting(skolem_A8989, skolem_B9090)))
% 117.01/25.78
% 117.01/25.78 [6524] CLOSURE : left_convergent_lines(skolem_L9191, line_connecting(skolem_A8989, skolem_B9090))
% 117.01/25.78
% 117.01/25.78 [6525] GAMMA_FORALL : ! [A51_51, L52_52] : (~(left_apart_point(A51_51, L52_52) | left_apart_point(A51_51, reverse_line(L52_52))))
% 117.01/25.78 -> [6526] ~(left_apart_point(A51_245_14, L52_245_14) | left_apart_point(A51_245_14, reverse_line(L52_245_14)))
% 117.01/25.78
% 117.01/25.78 [6526] ALPHA_NOT_OR : ~(left_apart_point(A51_245_14, L52_245_14) | left_apart_point(A51_245_14, reverse_line(L52_245_14)))
% 117.01/25.78 -> [6527] ~left_apart_point(A51_245_14, L52_245_14), ~left_apart_point(A51_245_14, reverse_line(L52_245_14))
% 117.01/25.78
% 117.01/25.78 [6527] CLOSURE : ~left_apart_point(A51_245_14, L52_245_14)
% 117.01/25.78
% 117.01/25.78 [6520] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L9191, line_connecting(skolem_A8989, skolem_B9090)) & unequally_directed_lines(skolem_L9191, reverse_line(line_connecting(skolem_A8989, skolem_B9090))))
% 117.01/25.78 -> [6537] ~unequally_directed_lines(skolem_L9191, line_connecting(skolem_A8989, skolem_B9090))
% 117.01/25.78 -> [6538] ~unequally_directed_lines(skolem_L9191, reverse_line(line_connecting(skolem_A8989, skolem_B9090)))
% 117.01/25.78
% 117.01/25.78 [6538] GAMMA_FORALL : ! [A51_51, L52_52] : (~(left_apart_point(A51_51, L52_52) | left_apart_point(A51_51, reverse_line(L52_52))))
% 117.01/25.78 -> [6545] ~(left_apart_point(A51_247_14, L52_247_14) | left_apart_point(A51_247_14, reverse_line(L52_247_14)))
% 117.01/25.78
% 117.01/25.78 [6545] ALPHA_NOT_OR : ~(left_apart_point(A51_247_14, L52_247_14) | left_apart_point(A51_247_14, reverse_line(L52_247_14)))
% 117.01/25.78 -> [6546] ~left_apart_point(A51_247_14, L52_247_14), ~left_apart_point(A51_247_14, reverse_line(L52_247_14))
% 117.01/25.78
% 117.01/25.78 [6546] CLOSURE : ~left_apart_point(A51_247_14, L52_247_14)
% 117.01/25.78
% 117.01/25.78 [6537] GAMMA_FORALL : ! [A51_51, L52_52] : (~(left_apart_point(A51_51, L52_52) | left_apart_point(A51_51, reverse_line(L52_52))))
% 117.01/25.78 -> [6553] ~(left_apart_point(A51_248_14, L52_248_14) | left_apart_point(A51_248_14, reverse_line(L52_248_14)))
% 117.01/25.78
% 117.01/25.78 [6553] ALPHA_NOT_OR : ~(left_apart_point(A51_248_14, L52_248_14) | left_apart_point(A51_248_14, reverse_line(L52_248_14)))
% 117.01/25.78 -> [6554] ~left_apart_point(A51_248_14, L52_248_14), ~left_apart_point(A51_248_14, reverse_line(L52_248_14))
% 117.01/25.78
% 117.01/25.78 [6554] CLOSURE : ~left_apart_point(A51_248_14, L52_248_14)
% 117.01/25.78
% 117.01/25.78 [4537] GAMMA_FORALL : ! [X12_12, Y13_13] : ((right_convergent_lines(X12_12, Y13_13) <=> left_convergent_lines(X12_12, reverse_line(Y13_13))))
% 117.01/25.78 -> [4539] (right_convergent_lines(reverse_line(N46_112_11), reverse_line(N46_112_11)) <=> left_convergent_lines(reverse_line(N46_112_11), reverse_line(reverse_line(N46_112_11))))
% 117.01/25.78
% 117.01/25.78 [4539] BETA_EQUIV : (right_convergent_lines(reverse_line(N46_112_11), reverse_line(N46_112_11)) <=> left_convergent_lines(reverse_line(N46_112_11), reverse_line(reverse_line(N46_112_11))))
% 117.01/25.78 -> [4542] ~right_convergent_lines(reverse_line(N46_112_11), reverse_line(N46_112_11)), ~left_convergent_lines(reverse_line(N46_112_11), reverse_line(reverse_line(N46_112_11)))
% 117.01/25.78 -> [4543] right_convergent_lines(reverse_line(N46_112_11), reverse_line(N46_112_11)), left_convergent_lines(reverse_line(N46_112_11), reverse_line(reverse_line(N46_112_11)))
% 117.01/25.78
% 117.01/25.78 [4543] GAMMA_FORALL : ! [X14_14, Y15_15] : ((equally_directed_lines(X14_14, Y15_15) <=> ~unequally_directed_lines(X14_14, Y15_15)))
% 117.01/25.78 -> [4549] (equally_directed_lines(reverse_line(Y17_21_4), reverse_line(Y17_21_4)) <=> ~unequally_directed_lines(reverse_line(Y17_21_4), reverse_line(Y17_21_4)))
% 117.01/25.78
% 117.01/25.78 [4549] BETA_EQUIV : (equally_directed_lines(reverse_line(Y17_21_4), reverse_line(Y17_21_4)) <=> ~unequally_directed_lines(reverse_line(Y17_21_4), reverse_line(Y17_21_4)))
% 117.01/25.78 -> [4554] ~equally_directed_lines(reverse_line(Y17_21_4), reverse_line(Y17_21_4)), ~~unequally_directed_lines(reverse_line(Y17_21_4), reverse_line(Y17_21_4))
% 117.01/25.78 -> [4555] equally_directed_lines(reverse_line(Y17_21_4), reverse_line(Y17_21_4)), ~unequally_directed_lines(reverse_line(Y17_21_4), reverse_line(Y17_21_4))
% 117.01/25.78
% 117.01/25.78 [4554] ALPHA_NOT_NOT : ~~unequally_directed_lines(reverse_line(Y17_21_4), reverse_line(Y17_21_4))
% 117.01/25.78 -> [4562] unequally_directed_lines(reverse_line(Y17_21_4), reverse_line(Y17_21_4))
% 117.01/25.78
% 117.01/25.78 [4562] CLOSURE : unequally_directed_lines(reverse_line(Y17_21_4), reverse_line(Y17_21_4))
% 117.01/25.78
% 117.01/25.78 [4566] BETA_EQUIV : (equally_directed_opposite_lines(reverse_line(Y17_21_4), Y17_21_4) <=> ~unequally_directed_opposite_lines(reverse_line(Y17_21_4), Y17_21_4))
% 117.01/25.78 -> [5621] ~equally_directed_opposite_lines(reverse_line(Y17_21_4), Y17_21_4), ~~unequally_directed_opposite_lines(reverse_line(Y17_21_4), Y17_21_4)
% 117.01/25.78 -> [5622] equally_directed_opposite_lines(reverse_line(Y17_21_4), Y17_21_4), ~unequally_directed_opposite_lines(reverse_line(Y17_21_4), Y17_21_4)
% 117.01/25.78
% 117.01/25.78 [5621] ALPHA_NOT_NOT : ~~unequally_directed_opposite_lines(reverse_line(Y17_21_4), Y17_21_4)
% 117.01/25.78 -> [5632] unequally_directed_opposite_lines(reverse_line(Y17_21_4), Y17_21_4)
% 117.01/25.78
% 117.01/25.78 [5632] CLOSURE : unequally_directed_opposite_lines(reverse_line(Y17_21_4), Y17_21_4)
% 117.01/25.78
% 117.01/25.78 [5622] GAMMA_FORALL : ! [A32_32] : (~distinct_points(A32_32, A32_32))
% 117.01/25.78 -> [5635] ~distinct_points(C35_33_6, C35_33_6)
% 117.01/25.78
% 117.01/25.78 [5635] 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))))
% 117.01/25.78 -> [5641] (distinct_points(C35_33_6, C35_33_6) => (distinct_points(C35_33_6, C35_33_6) | distinct_points(C35_33_6, C35_33_6)))
% 117.01/25.78
% 117.01/25.78 [5641] BETA_IMPLY : (distinct_points(C35_33_6, C35_33_6) => (distinct_points(C35_33_6, C35_33_6) | distinct_points(C35_33_6, C35_33_6)))
% 117.01/25.78 -> [5642] ~distinct_points(C35_33_6, C35_33_6)
% 117.01/25.78 -> [5643] (distinct_points(C35_33_6, C35_33_6) | distinct_points(C35_33_6, C35_33_6))
% 117.01/25.78
% 117.01/25.78 [5643] BETA_OR : (distinct_points(C35_33_6, C35_33_6) | distinct_points(C35_33_6, C35_33_6))
% 117.01/25.78 -> [5644] distinct_points(C35_33_6, C35_33_6)
% 117.01/25.78 -> [5645] distinct_points(C35_33_6, C35_33_6)
% 117.01/25.78
% 117.01/25.78 [5645] CLOSURE : distinct_points(C35_33_6, C35_33_6)
% 117.01/25.78
% 117.01/25.78 [5644] CLOSURE : distinct_points(C35_33_6, C35_33_6)
% 117.01/25.78
% 117.01/25.78 [5642] GAMMA_FORALL : ! [L36_36] : (~distinct_lines(L36_36, L36_36))
% 117.01/25.78 -> [5646] ~distinct_lines(N39_46_8, N39_46_8)
% 117.01/25.78
% 117.01/25.78 [5646] 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))))
% 117.01/25.78 -> [5649] (distinct_lines(N39_46_8, N39_46_8) => (distinct_lines(N39_46_8, N39_46_8) | distinct_lines(N39_46_8, N39_46_8)))
% 117.01/25.78
% 117.01/25.78 [5649] BETA_IMPLY : (distinct_lines(N39_46_8, N39_46_8) => (distinct_lines(N39_46_8, N39_46_8) | distinct_lines(N39_46_8, N39_46_8)))
% 117.01/25.78 -> [5650] ~distinct_lines(N39_46_8, N39_46_8)
% 117.01/25.78 -> [5651] (distinct_lines(N39_46_8, N39_46_8) | distinct_lines(N39_46_8, N39_46_8))
% 117.01/25.78
% 117.01/25.78 [5651] BETA_OR : (distinct_lines(N39_46_8, N39_46_8) | distinct_lines(N39_46_8, N39_46_8))
% 117.01/25.78 -> [5652] distinct_lines(N39_46_8, N39_46_8)
% 117.01/25.78 -> [5653] distinct_lines(N39_46_8, N39_46_8)
% 117.01/25.78
% 117.01/25.78 [5652] CLOSURE : distinct_lines(N39_46_8, N39_46_8)
% 117.01/25.78
% 117.01/25.78 [5653] CLOSURE : distinct_lines(N39_46_8, N39_46_8)
% 117.01/25.78
% 117.01/25.78 [5650] GAMMA_FORALL : ! [L40_40] : (equally_directed_lines(L40_40, L40_40))
% 117.01/25.78 -> [5657] equally_directed_lines(L40_77_9, L40_77_9)
% 117.01/25.78
% 117.01/25.78 [5657] 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))))
% 117.01/25.78 -> [5662] (unequally_directed_lines(reverse_line(M48_481_12), reverse_line(M48_481_12)) => (unequally_directed_lines(reverse_line(M48_481_12), reverse_line(M48_481_12)) | unequally_directed_lines(reverse_line(M48_481_12), reverse_line(M48_481_12))))
% 117.01/25.78
% 117.01/25.78 [5662] BETA_IMPLY : (unequally_directed_lines(reverse_line(M48_481_12), reverse_line(M48_481_12)) => (unequally_directed_lines(reverse_line(M48_481_12), reverse_line(M48_481_12)) | unequally_directed_lines(reverse_line(M48_481_12), reverse_line(M48_481_12))))
% 117.01/25.78 -> [5663] ~unequally_directed_lines(reverse_line(M48_481_12), reverse_line(M48_481_12))
% 117.01/25.78 -> [5664] (unequally_directed_lines(reverse_line(M48_481_12), reverse_line(M48_481_12)) | unequally_directed_lines(reverse_line(M48_481_12), reverse_line(M48_481_12)))
% 117.01/25.78
% 117.01/25.78 [5664] BETA_OR : (unequally_directed_lines(reverse_line(M48_481_12), reverse_line(M48_481_12)) | unequally_directed_lines(reverse_line(M48_481_12), reverse_line(M48_481_12)))
% 117.01/25.78 -> [5665] unequally_directed_lines(reverse_line(M48_481_12), reverse_line(M48_481_12))
% 117.01/25.78 -> [5666] unequally_directed_lines(reverse_line(M48_481_12), reverse_line(M48_481_12))
% 117.01/25.78
% 117.01/25.78 [5665] CLOSURE : unequally_directed_lines(reverse_line(M48_481_12), reverse_line(M48_481_12))
% 117.01/25.78
% 117.01/25.78 [5666] CLOSURE : unequally_directed_lines(reverse_line(M48_481_12), reverse_line(M48_481_12))
% 117.01/25.78
% 117.01/25.78 [5667] BETA_IMPLY : ((unequally_directed_lines(reverse_line(M48_481_12), reverse_line(M48_481_12)) & unequally_directed_lines(reverse_line(M48_481_12), reverse_line(reverse_line(M48_481_12)))) => ((unequally_directed_lines(reverse_line(M48_481_12), reverse_line(M48_481_12)) & unequally_directed_lines(reverse_line(M48_481_12), reverse_line(reverse_line(M48_481_12)))) | (unequally_directed_lines(reverse_line(M48_481_12), reverse_line(M48_481_12)) & unequally_directed_lines(reverse_line(M48_481_12), reverse_line(reverse_line(M48_481_12))))))
% 117.01/25.78 -> [5764] ~(unequally_directed_lines(reverse_line(M48_481_12), reverse_line(M48_481_12)) & unequally_directed_lines(reverse_line(M48_481_12), reverse_line(reverse_line(M48_481_12))))
% 117.01/25.78 -> [5765] ((unequally_directed_lines(reverse_line(M48_481_12), reverse_line(M48_481_12)) & unequally_directed_lines(reverse_line(M48_481_12), reverse_line(reverse_line(M48_481_12)))) | (unequally_directed_lines(reverse_line(M48_481_12), reverse_line(M48_481_12)) & unequally_directed_lines(reverse_line(M48_481_12), reverse_line(reverse_line(M48_481_12)))))
% 117.01/25.78
% 117.01/25.78 [5764] BETA_NOT_AND : ~(unequally_directed_lines(reverse_line(M48_481_12), reverse_line(M48_481_12)) & unequally_directed_lines(reverse_line(M48_481_12), reverse_line(reverse_line(M48_481_12))))
% 117.01/25.78 -> [5766] ~unequally_directed_lines(reverse_line(M48_481_12), reverse_line(M48_481_12))
% 117.01/25.78 -> [5767] ~unequally_directed_lines(reverse_line(M48_481_12), reverse_line(reverse_line(M48_481_12)))
% 117.01/25.78
% 117.01/25.78 [5767] GAMMA_FORALL : ! [L47_47, M48_48] : ((unequally_directed_lines(L47_47, M48_48) | unequally_directed_lines(L47_47, reverse_line(M48_48))))
% 117.01/25.78 -> [5778] (unequally_directed_lines(reverse_line(M48_481_12), reverse_line(M48_481_12)) | unequally_directed_lines(reverse_line(M48_481_12), reverse_line(reverse_line(M48_481_12))))
% 117.01/25.78
% 117.01/25.78 [5778] BETA_OR : (unequally_directed_lines(reverse_line(M48_481_12), reverse_line(M48_481_12)) | unequally_directed_lines(reverse_line(M48_481_12), reverse_line(reverse_line(M48_481_12))))
% 117.01/25.78 -> [5779] unequally_directed_lines(reverse_line(M48_481_12), reverse_line(M48_481_12))
% 117.01/25.78 -> [5780] unequally_directed_lines(reverse_line(M48_481_12), reverse_line(reverse_line(M48_481_12)))
% 117.01/25.78
% 117.01/25.78 [5780] CLOSURE : unequally_directed_lines(reverse_line(M48_481_12), reverse_line(reverse_line(M48_481_12)))
% 117.01/25.78
% 117.01/25.78 [5779] CLOSURE : unequally_directed_lines(reverse_line(M48_481_12), reverse_line(M48_481_12))
% 117.01/25.78
% 117.01/25.78 [5781] BETA_OR : (unequally_directed_lines(reverse_line(M48_481_12), M48_481_12) | unequally_directed_lines(reverse_line(M48_481_12), reverse_line(M48_481_12)))
% 117.01/25.78 -> [5805] unequally_directed_lines(reverse_line(M48_481_12), M48_481_12)
% 117.01/25.78 -> [5806] unequally_directed_lines(reverse_line(M48_481_12), reverse_line(M48_481_12))
% 117.01/25.78
% 117.01/25.78 [5806] CLOSURE : unequally_directed_lines(reverse_line(M48_481_12), reverse_line(M48_481_12))
% 117.01/25.78
% 117.01/25.78 [5805] 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)))))
% 117.01/25.78 -> [5839] ((unequally_directed_lines(skolem_L9191, line_connecting(skolem_A8989, skolem_B9090)) & unequally_directed_lines(skolem_L9191, reverse_line(line_connecting(skolem_A8989, skolem_B9090)))) => (left_convergent_lines(skolem_L9191, line_connecting(skolem_A8989, skolem_B9090)) | left_convergent_lines(skolem_L9191, reverse_line(line_connecting(skolem_A8989, skolem_B9090)))))
% 117.01/25.78
% 117.01/25.78 [5839] BETA_IMPLY : ((unequally_directed_lines(skolem_L9191, line_connecting(skolem_A8989, skolem_B9090)) & unequally_directed_lines(skolem_L9191, reverse_line(line_connecting(skolem_A8989, skolem_B9090)))) => (left_convergent_lines(skolem_L9191, line_connecting(skolem_A8989, skolem_B9090)) | left_convergent_lines(skolem_L9191, reverse_line(line_connecting(skolem_A8989, skolem_B9090)))))
% 117.01/25.78 -> [5840] ~(unequally_directed_lines(skolem_L9191, line_connecting(skolem_A8989, skolem_B9090)) & unequally_directed_lines(skolem_L9191, reverse_line(line_connecting(skolem_A8989, skolem_B9090))))
% 117.01/25.78 -> [5841] (left_convergent_lines(skolem_L9191, line_connecting(skolem_A8989, skolem_B9090)) | left_convergent_lines(skolem_L9191, reverse_line(line_connecting(skolem_A8989, skolem_B9090))))
% 117.01/25.78
% 117.01/25.78 [5841] BETA_OR : (left_convergent_lines(skolem_L9191, line_connecting(skolem_A8989, skolem_B9090)) | left_convergent_lines(skolem_L9191, reverse_line(line_connecting(skolem_A8989, skolem_B9090))))
% 117.01/25.78 -> [5842] left_convergent_lines(skolem_L9191, line_connecting(skolem_A8989, skolem_B9090))
% 117.01/25.78 -> [5843] left_convergent_lines(skolem_L9191, reverse_line(line_connecting(skolem_A8989, skolem_B9090)))
% 117.01/25.78
% 117.01/25.78 [5842] CLOSURE : left_convergent_lines(skolem_L9191, line_connecting(skolem_A8989, skolem_B9090))
% 117.01/25.78
% 117.01/25.78 [5843] GAMMA_FORALL : ! [A51_51, L52_52] : (~(left_apart_point(A51_51, L52_52) | left_apart_point(A51_51, reverse_line(L52_52))))
% 117.01/25.78 -> [5846] ~(left_apart_point(A51_213_14, L52_213_14) | left_apart_point(A51_213_14, reverse_line(L52_213_14)))
% 117.01/25.78
% 117.01/25.78 [5846] ALPHA_NOT_OR : ~(left_apart_point(A51_213_14, L52_213_14) | left_apart_point(A51_213_14, reverse_line(L52_213_14)))
% 117.01/25.78 -> [5847] ~left_apart_point(A51_213_14, L52_213_14), ~left_apart_point(A51_213_14, reverse_line(L52_213_14))
% 117.01/25.78
% 117.01/25.78 [5847] CLOSURE : ~left_apart_point(A51_213_14, L52_213_14)
% 117.01/25.78
% 117.01/25.78 [5840] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L9191, line_connecting(skolem_A8989, skolem_B9090)) & unequally_directed_lines(skolem_L9191, reverse_line(line_connecting(skolem_A8989, skolem_B9090))))
% 117.01/25.78 -> [5873] ~unequally_directed_lines(skolem_L9191, line_connecting(skolem_A8989, skolem_B9090))
% 117.01/25.78 -> [5874] ~unequally_directed_lines(skolem_L9191, reverse_line(line_connecting(skolem_A8989, skolem_B9090)))
% 117.01/25.78
% 117.01/25.78 [5874] GAMMA_FORALL : ! [A51_51, L52_52] : (~(left_apart_point(A51_51, L52_52) | left_apart_point(A51_51, reverse_line(L52_52))))
% 117.01/25.78 -> [5881] ~(left_apart_point(A51_215_14, L52_215_14) | left_apart_point(A51_215_14, reverse_line(L52_215_14)))
% 117.01/25.78
% 117.01/25.78 [5881] ALPHA_NOT_OR : ~(left_apart_point(A51_215_14, L52_215_14) | left_apart_point(A51_215_14, reverse_line(L52_215_14)))
% 117.01/25.78 -> [5883] ~left_apart_point(A51_215_14, L52_215_14), ~left_apart_point(A51_215_14, reverse_line(L52_215_14))
% 117.01/25.78
% 117.01/25.78 [5883] CLOSURE : ~left_apart_point(A51_215_14, L52_215_14)
% 117.01/25.78
% 117.01/25.78 [5873] GAMMA_FORALL : ! [A51_51, L52_52] : (~(left_apart_point(A51_51, L52_52) | left_apart_point(A51_51, reverse_line(L52_52))))
% 117.01/25.78 -> [5882] ~(left_apart_point(A51_216_14, L52_216_14) | left_apart_point(A51_216_14, reverse_line(L52_216_14)))
% 117.01/25.78
% 117.01/25.78 [5882] ALPHA_NOT_OR : ~(left_apart_point(A51_216_14, L52_216_14) | left_apart_point(A51_216_14, reverse_line(L52_216_14)))
% 117.01/25.78 -> [5884] ~left_apart_point(A51_216_14, L52_216_14), ~left_apart_point(A51_216_14, reverse_line(L52_216_14))
% 117.01/25.78
% 117.01/25.78 [5884] CLOSURE : ~left_apart_point(A51_216_14, L52_216_14)
% 117.01/25.78
% 117.01/25.78 [5765] BETA_OR : ((unequally_directed_lines(reverse_line(M48_481_12), reverse_line(M48_481_12)) & unequally_directed_lines(reverse_line(M48_481_12), reverse_line(reverse_line(M48_481_12)))) | (unequally_directed_lines(reverse_line(M48_481_12), reverse_line(M48_481_12)) & unequally_directed_lines(reverse_line(M48_481_12), reverse_line(reverse_line(M48_481_12)))))
% 117.01/25.78 -> [5908] (unequally_directed_lines(reverse_line(M48_481_12), reverse_line(M48_481_12)) & unequally_directed_lines(reverse_line(M48_481_12), reverse_line(reverse_line(M48_481_12))))
% 117.01/25.78 -> [5909] (unequally_directed_lines(reverse_line(M48_481_12), reverse_line(M48_481_12)) & unequally_directed_lines(reverse_line(M48_481_12), reverse_line(reverse_line(M48_481_12))))
% 117.01/25.78
% 117.01/25.78 [5908] ALPHA_AND : (unequally_directed_lines(reverse_line(M48_481_12), reverse_line(M48_481_12)) & unequally_directed_lines(reverse_line(M48_481_12), reverse_line(reverse_line(M48_481_12))))
% 117.01/25.78 -> [5910] unequally_directed_lines(reverse_line(M48_481_12), reverse_line(M48_481_12)), unequally_directed_lines(reverse_line(M48_481_12), reverse_line(reverse_line(M48_481_12)))
% 117.01/25.78
% 117.01/25.78 [5910] CLOSURE : unequally_directed_lines(reverse_line(M48_481_12), reverse_line(reverse_line(M48_481_12)))
% 117.01/25.78
% 117.01/25.78 [5909] ALPHA_AND : (unequally_directed_lines(reverse_line(M48_481_12), reverse_line(M48_481_12)) & unequally_directed_lines(reverse_line(M48_481_12), reverse_line(reverse_line(M48_481_12))))
% 117.01/25.78 -> [5911] unequally_directed_lines(reverse_line(M48_481_12), reverse_line(M48_481_12)), unequally_directed_lines(reverse_line(M48_481_12), reverse_line(reverse_line(M48_481_12)))
% 117.01/25.78
% 117.01/25.78 [5911] CLOSURE : unequally_directed_lines(reverse_line(M48_481_12), reverse_line(reverse_line(M48_481_12)))
% 117.01/25.78
% 117.01/25.78 [4542] GAMMA_FORALL : ! [X14_14, Y15_15] : ((equally_directed_lines(X14_14, Y15_15) <=> ~unequally_directed_lines(X14_14, Y15_15)))
% 117.01/25.78 -> [4545] (equally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11)) <=> ~unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11)))
% 117.01/25.78
% 117.01/25.78 [4545] BETA_EQUIV : (equally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11)) <=> ~unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11)))
% 117.01/25.78 -> [4550] ~equally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11)), ~~unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11))
% 117.01/25.78 -> [4551] equally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11)), ~unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11))
% 117.01/25.78
% 117.01/25.78 [4550] ALPHA_NOT_NOT : ~~unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11))
% 117.01/25.78 -> [4557] unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11))
% 117.01/25.78
% 117.01/25.78 [4557] CLOSURE : unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11))
% 117.01/25.78
% 117.01/25.78 [4570] BETA_EQUIV : (equally_directed_opposite_lines(reverse_line(N46_112_11), N46_112_11) <=> ~unequally_directed_opposite_lines(reverse_line(N46_112_11), N46_112_11))
% 117.01/25.78 -> [6263] ~equally_directed_opposite_lines(reverse_line(N46_112_11), N46_112_11), ~~unequally_directed_opposite_lines(reverse_line(N46_112_11), N46_112_11)
% 117.01/25.78 -> [6264] equally_directed_opposite_lines(reverse_line(N46_112_11), N46_112_11), ~unequally_directed_opposite_lines(reverse_line(N46_112_11), N46_112_11)
% 117.01/25.78
% 117.01/25.78 [6263] ALPHA_NOT_NOT : ~~unequally_directed_opposite_lines(reverse_line(N46_112_11), N46_112_11)
% 117.01/25.78 -> [6265] unequally_directed_opposite_lines(reverse_line(N46_112_11), N46_112_11)
% 117.01/25.78
% 117.01/25.78 [6265] CLOSURE : unequally_directed_opposite_lines(reverse_line(N46_112_11), N46_112_11)
% 117.01/25.78
% 117.01/25.78 [6267] BETA_IMPLY : (distinct_points(C35_35_6, C35_35_6) => (distinct_points(C35_35_6, C35_35_6) | distinct_points(C35_35_6, C35_35_6)))
% 117.01/25.78 -> [6693] ~distinct_points(C35_35_6, C35_35_6)
% 117.01/25.78 -> [6694] (distinct_points(C35_35_6, C35_35_6) | distinct_points(C35_35_6, C35_35_6))
% 117.01/25.78
% 117.01/25.78 [6693] GAMMA_FORALL : ! [L36_36] : (~distinct_lines(L36_36, L36_36))
% 117.01/25.78 -> [6697] ~distinct_lines(N39_52_8, N39_52_8)
% 117.01/25.78
% 117.01/25.78 [6697] 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))))
% 117.01/25.78 -> [6698] (distinct_lines(N39_52_8, N39_52_8) => (distinct_lines(N39_52_8, N39_52_8) | distinct_lines(N39_52_8, N39_52_8)))
% 117.01/25.78
% 117.01/25.78 [6698] BETA_IMPLY : (distinct_lines(N39_52_8, N39_52_8) => (distinct_lines(N39_52_8, N39_52_8) | distinct_lines(N39_52_8, N39_52_8)))
% 117.01/25.78 -> [6699] ~distinct_lines(N39_52_8, N39_52_8)
% 117.01/25.78 -> [6700] (distinct_lines(N39_52_8, N39_52_8) | distinct_lines(N39_52_8, N39_52_8))
% 117.01/25.78
% 117.01/25.78 [6700] BETA_OR : (distinct_lines(N39_52_8, N39_52_8) | distinct_lines(N39_52_8, N39_52_8))
% 117.01/25.78 -> [6701] distinct_lines(N39_52_8, N39_52_8)
% 117.01/25.78 -> [6702] distinct_lines(N39_52_8, N39_52_8)
% 117.01/25.78
% 117.01/25.78 [6702] CLOSURE : distinct_lines(N39_52_8, N39_52_8)
% 117.01/25.78
% 117.01/25.78 [6701] CLOSURE : distinct_lines(N39_52_8, N39_52_8)
% 117.01/25.78
% 117.01/25.78 [6704] BETA_IMPLY : (unequally_directed_lines(reverse_line(N46_112_11), N46_112_11) => (unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11)) | unequally_directed_lines(N46_112_11, reverse_line(N46_112_11))))
% 117.01/25.78 -> [6780] ~unequally_directed_lines(reverse_line(N46_112_11), N46_112_11)
% 117.01/25.78 -> [6781] (unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11)) | unequally_directed_lines(N46_112_11, reverse_line(N46_112_11)))
% 117.01/25.78
% 117.01/25.78 [6780] GAMMA_FORALL : ! [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))))))
% 117.01/25.78 -> [6784] ((unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11)) & unequally_directed_lines(reverse_line(N46_112_11), reverse_line(reverse_line(N46_112_11)))) => ((unequally_directed_lines(reverse_line(N46_112_11), N46_112_11) & unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11))) | (unequally_directed_lines(reverse_line(N46_112_11), N46_112_11) & unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11)))))
% 117.01/25.78
% 117.01/25.78 [6784] BETA_IMPLY : ((unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11)) & unequally_directed_lines(reverse_line(N46_112_11), reverse_line(reverse_line(N46_112_11)))) => ((unequally_directed_lines(reverse_line(N46_112_11), N46_112_11) & unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11))) | (unequally_directed_lines(reverse_line(N46_112_11), N46_112_11) & unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11)))))
% 117.01/25.78 -> [6785] ~(unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11)) & unequally_directed_lines(reverse_line(N46_112_11), reverse_line(reverse_line(N46_112_11))))
% 117.01/25.78 -> [6786] ((unequally_directed_lines(reverse_line(N46_112_11), N46_112_11) & unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11))) | (unequally_directed_lines(reverse_line(N46_112_11), N46_112_11) & unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11))))
% 117.01/25.78
% 117.01/25.78 [6786] BETA_OR : ((unequally_directed_lines(reverse_line(N46_112_11), N46_112_11) & unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11))) | (unequally_directed_lines(reverse_line(N46_112_11), N46_112_11) & unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11))))
% 117.01/25.78 -> [6789] (unequally_directed_lines(reverse_line(N46_112_11), N46_112_11) & unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11)))
% 117.01/25.78 -> [6790] (unequally_directed_lines(reverse_line(N46_112_11), N46_112_11) & unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11)))
% 117.01/25.78
% 117.01/25.78 [6789] ALPHA_AND : (unequally_directed_lines(reverse_line(N46_112_11), N46_112_11) & unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11)))
% 117.01/25.78 -> [6791] unequally_directed_lines(reverse_line(N46_112_11), N46_112_11), unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11))
% 117.01/25.78
% 117.01/25.78 [6791] CLOSURE : unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11))
% 117.01/25.78
% 117.01/25.78 [6792] CLOSURE : unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11))
% 117.01/25.78
% 117.01/25.78 [6785] BETA_NOT_AND : ~(unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11)) & unequally_directed_lines(reverse_line(N46_112_11), reverse_line(reverse_line(N46_112_11))))
% 117.01/25.78 -> [6799] ~unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11))
% 117.01/25.78 -> [6800] ~unequally_directed_lines(reverse_line(N46_112_11), reverse_line(reverse_line(N46_112_11)))
% 117.01/25.78
% 117.01/25.78 [6799] GAMMA_FORALL : ! [L47_47, M48_48] : ((unequally_directed_lines(L47_47, M48_48) | unequally_directed_lines(L47_47, reverse_line(M48_48))))
% 117.01/25.78 -> [6801] (unequally_directed_lines(L47_568_12, M48_568_12) | unequally_directed_lines(L47_568_12, reverse_line(M48_568_12)))
% 117.01/25.78
% 117.01/25.78 [6801] BETA_OR : (unequally_directed_lines(L47_568_12, M48_568_12) | unequally_directed_lines(L47_568_12, reverse_line(M48_568_12)))
% 117.01/25.78 -> [6802] unequally_directed_lines(L47_568_12, M48_568_12)
% 117.01/25.78 -> [6803] unequally_directed_lines(L47_568_12, reverse_line(M48_568_12))
% 117.01/25.78
% 117.01/25.78 [6802] CLOSURE : unequally_directed_lines(L47_568_12, M48_568_12)
% 117.01/25.78
% 117.01/25.78 [6803] CLOSURE : unequally_directed_lines(L47_568_12, reverse_line(M48_568_12))
% 117.01/25.78
% 117.01/25.78 [6800] GAMMA_FORALL : ! [L47_47, M48_48] : ((unequally_directed_lines(L47_47, M48_48) | unequally_directed_lines(L47_47, reverse_line(M48_48))))
% 117.01/25.78 -> [6804] (unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11)) | unequally_directed_lines(reverse_line(N46_112_11), reverse_line(reverse_line(N46_112_11))))
% 117.01/25.78
% 117.01/25.78 [6804] BETA_OR : (unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11)) | unequally_directed_lines(reverse_line(N46_112_11), reverse_line(reverse_line(N46_112_11))))
% 117.01/25.78 -> [6805] unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11))
% 117.01/25.78 -> [6806] unequally_directed_lines(reverse_line(N46_112_11), reverse_line(reverse_line(N46_112_11)))
% 117.01/25.78
% 117.01/25.78 [6805] CLOSURE : unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11))
% 117.01/25.78
% 117.01/25.78 [6806] CLOSURE : unequally_directed_lines(reverse_line(N46_112_11), reverse_line(reverse_line(N46_112_11)))
% 117.01/25.78
% 117.01/25.78 [6781] BETA_OR : (unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11)) | unequally_directed_lines(N46_112_11, reverse_line(N46_112_11)))
% 117.01/25.78 -> [6807] unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11))
% 117.01/25.78 -> [6808] unequally_directed_lines(N46_112_11, reverse_line(N46_112_11))
% 117.01/25.78
% 117.01/25.78 [6808] GAMMA_FORALL : ! [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))))))
% 117.01/25.78 -> [6809] ((unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11)) & unequally_directed_lines(reverse_line(N46_112_11), reverse_line(reverse_line(N46_112_11)))) => ((unequally_directed_lines(reverse_line(N46_112_11), N46_112_11) & unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11))) | (unequally_directed_lines(reverse_line(N46_112_11), N46_112_11) & unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11)))))
% 117.01/25.78
% 117.01/25.78 [6809] BETA_IMPLY : ((unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11)) & unequally_directed_lines(reverse_line(N46_112_11), reverse_line(reverse_line(N46_112_11)))) => ((unequally_directed_lines(reverse_line(N46_112_11), N46_112_11) & unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11))) | (unequally_directed_lines(reverse_line(N46_112_11), N46_112_11) & unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11)))))
% 117.01/25.78 -> [6810] ~(unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11)) & unequally_directed_lines(reverse_line(N46_112_11), reverse_line(reverse_line(N46_112_11))))
% 117.01/25.78 -> [6811] ((unequally_directed_lines(reverse_line(N46_112_11), N46_112_11) & unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11))) | (unequally_directed_lines(reverse_line(N46_112_11), N46_112_11) & unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11))))
% 117.01/25.78
% 117.01/25.78 [6811] BETA_OR : ((unequally_directed_lines(reverse_line(N46_112_11), N46_112_11) & unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11))) | (unequally_directed_lines(reverse_line(N46_112_11), N46_112_11) & unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11))))
% 117.01/25.78 -> [6814] (unequally_directed_lines(reverse_line(N46_112_11), N46_112_11) & unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11)))
% 117.01/25.78 -> [6815] (unequally_directed_lines(reverse_line(N46_112_11), N46_112_11) & unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11)))
% 117.01/25.78
% 117.01/25.78 [6814] ALPHA_AND : (unequally_directed_lines(reverse_line(N46_112_11), N46_112_11) & unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11)))
% 117.01/25.78 -> [6816] unequally_directed_lines(reverse_line(N46_112_11), N46_112_11), unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11))
% 117.01/25.78
% 117.01/25.78 [6816] CLOSURE : unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11))
% 117.01/25.78
% 117.01/25.78 [6817] CLOSURE : unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11))
% 117.01/25.78
% 117.01/25.78 [6810] BETA_NOT_AND : ~(unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11)) & unequally_directed_lines(reverse_line(N46_112_11), reverse_line(reverse_line(N46_112_11))))
% 117.01/25.78 -> [6836] ~unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11))
% 117.01/25.78 -> [6837] ~unequally_directed_lines(reverse_line(N46_112_11), reverse_line(reverse_line(N46_112_11)))
% 117.01/25.78
% 117.01/25.78 [6837] GAMMA_FORALL : ! [L47_47, M48_48] : ((unequally_directed_lines(L47_47, M48_48) | unequally_directed_lines(L47_47, reverse_line(M48_48))))
% 117.01/25.78 -> [6839] (unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11)) | unequally_directed_lines(reverse_line(N46_112_11), reverse_line(reverse_line(N46_112_11))))
% 117.01/25.78
% 117.01/25.78 [6839] BETA_OR : (unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11)) | unequally_directed_lines(reverse_line(N46_112_11), reverse_line(reverse_line(N46_112_11))))
% 117.01/25.78 -> [6842] unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11))
% 117.01/25.78 -> [6843] unequally_directed_lines(reverse_line(N46_112_11), reverse_line(reverse_line(N46_112_11)))
% 117.01/25.78
% 117.01/25.78 [6842] CLOSURE : unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11))
% 117.01/25.78
% 117.01/25.78 [6843] CLOSURE : unequally_directed_lines(reverse_line(N46_112_11), reverse_line(reverse_line(N46_112_11)))
% 117.01/25.78
% 117.01/25.78 [6836] GAMMA_FORALL : ! [L47_47, M48_48] : ((unequally_directed_lines(L47_47, M48_48) | unequally_directed_lines(L47_47, reverse_line(M48_48))))
% 117.01/25.78 -> [6838] (unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11)) | unequally_directed_lines(reverse_line(N46_112_11), reverse_line(reverse_line(N46_112_11))))
% 117.01/25.78
% 117.01/25.78 [6838] BETA_OR : (unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11)) | unequally_directed_lines(reverse_line(N46_112_11), reverse_line(reverse_line(N46_112_11))))
% 117.01/25.78 -> [6840] unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11))
% 117.01/25.78 -> [6841] unequally_directed_lines(reverse_line(N46_112_11), reverse_line(reverse_line(N46_112_11)))
% 117.01/25.78
% 117.01/25.78 [6840] CLOSURE : unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11))
% 117.01/25.78
% 117.01/25.78 [6841] 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)))))
% 117.01/25.78 -> [6844] ((unequally_directed_lines(reverse_line(N46_112_11), reverse_line(reverse_line(N46_112_11))) & unequally_directed_lines(reverse_line(N46_112_11), reverse_line(reverse_line(reverse_line(N46_112_11))))) => (left_convergent_lines(reverse_line(N46_112_11), reverse_line(reverse_line(N46_112_11))) | left_convergent_lines(reverse_line(N46_112_11), reverse_line(reverse_line(reverse_line(N46_112_11))))))
% 117.01/25.78
% 117.01/25.78 [6844] BETA_IMPLY : ((unequally_directed_lines(reverse_line(N46_112_11), reverse_line(reverse_line(N46_112_11))) & unequally_directed_lines(reverse_line(N46_112_11), reverse_line(reverse_line(reverse_line(N46_112_11))))) => (left_convergent_lines(reverse_line(N46_112_11), reverse_line(reverse_line(N46_112_11))) | left_convergent_lines(reverse_line(N46_112_11), reverse_line(reverse_line(reverse_line(N46_112_11))))))
% 117.01/25.78 -> [6845] ~(unequally_directed_lines(reverse_line(N46_112_11), reverse_line(reverse_line(N46_112_11))) & unequally_directed_lines(reverse_line(N46_112_11), reverse_line(reverse_line(reverse_line(N46_112_11)))))
% 117.01/25.78 -> [6846] (left_convergent_lines(reverse_line(N46_112_11), reverse_line(reverse_line(N46_112_11))) | left_convergent_lines(reverse_line(N46_112_11), reverse_line(reverse_line(reverse_line(N46_112_11)))))
% 117.01/25.78
% 117.01/25.78 [6845] BETA_NOT_AND : ~(unequally_directed_lines(reverse_line(N46_112_11), reverse_line(reverse_line(N46_112_11))) & unequally_directed_lines(reverse_line(N46_112_11), reverse_line(reverse_line(reverse_line(N46_112_11)))))
% 117.01/25.78 -> [6847] ~unequally_directed_lines(reverse_line(N46_112_11), reverse_line(reverse_line(N46_112_11)))
% 117.01/25.78 -> [6848] ~unequally_directed_lines(reverse_line(N46_112_11), reverse_line(reverse_line(reverse_line(N46_112_11))))
% 117.01/25.78
% 117.01/25.78 [6847] CLOSURE : ~unequally_directed_lines(reverse_line(N46_112_11), reverse_line(reverse_line(N46_112_11)))
% 117.01/25.78
% 117.01/25.78 [6848] GAMMA_FORALL : ! [A51_51, L52_52] : (~(left_apart_point(A51_51, L52_52) | left_apart_point(A51_51, reverse_line(L52_52))))
% 117.01/25.78 -> [6851] ~(left_apart_point(A51_267_14, L52_267_14) | left_apart_point(A51_267_14, reverse_line(L52_267_14)))
% 117.01/25.78
% 117.01/25.78 [6851] ALPHA_NOT_OR : ~(left_apart_point(A51_267_14, L52_267_14) | left_apart_point(A51_267_14, reverse_line(L52_267_14)))
% 117.01/25.78 -> [6853] ~left_apart_point(A51_267_14, L52_267_14), ~left_apart_point(A51_267_14, reverse_line(L52_267_14))
% 117.01/25.78
% 117.01/25.78 [6853] CLOSURE : ~left_apart_point(A51_267_14, L52_267_14)
% 117.01/25.78
% 117.01/25.78 [6846] BETA_OR : (left_convergent_lines(reverse_line(N46_112_11), reverse_line(reverse_line(N46_112_11))) | left_convergent_lines(reverse_line(N46_112_11), reverse_line(reverse_line(reverse_line(N46_112_11)))))
% 117.01/25.78 -> [6855] left_convergent_lines(reverse_line(N46_112_11), reverse_line(reverse_line(N46_112_11)))
% 117.01/25.78 -> [6856] left_convergent_lines(reverse_line(N46_112_11), reverse_line(reverse_line(reverse_line(N46_112_11))))
% 117.01/25.78
% 117.01/25.78 [6855] CLOSURE : left_convergent_lines(reverse_line(N46_112_11), reverse_line(reverse_line(N46_112_11)))
% 117.01/25.78
% 117.01/25.78 [6856] GAMMA_FORALL : ! [A51_51, L52_52] : (~(left_apart_point(A51_51, L52_52) | left_apart_point(A51_51, reverse_line(L52_52))))
% 117.01/25.78 -> [6857] ~(left_apart_point(A51_269_14, L52_269_14) | left_apart_point(A51_269_14, reverse_line(L52_269_14)))
% 117.01/25.78
% 117.01/25.78 [6857] ALPHA_NOT_OR : ~(left_apart_point(A51_269_14, L52_269_14) | left_apart_point(A51_269_14, reverse_line(L52_269_14)))
% 117.01/25.78 -> [6858] ~left_apart_point(A51_269_14, L52_269_14), ~left_apart_point(A51_269_14, reverse_line(L52_269_14))
% 117.01/25.78
% 117.01/25.78 [6858] CLOSURE : ~left_apart_point(A51_269_14, L52_269_14)
% 117.01/25.78
% 117.01/25.78 [6807] CLOSURE : unequally_directed_lines(reverse_line(N46_112_11), reverse_line(N46_112_11))
% 117.01/25.78
% 117.01/25.78 [6694] BETA_OR : (distinct_points(C35_35_6, C35_35_6) | distinct_points(C35_35_6, C35_35_6))
% 117.01/25.78 -> [6859] distinct_points(C35_35_6, C35_35_6)
% 117.01/25.78 -> [6860] distinct_points(C35_35_6, C35_35_6)
% 117.01/25.78
% 117.01/25.78 [6859] CLOSURE : distinct_points(C35_35_6, C35_35_6)
% 117.01/25.78
% 117.01/25.78 [6860] CLOSURE : distinct_points(C35_35_6, C35_35_6)
% 117.01/25.78
% 117.01/25.78 % SZS output end Proof for theBenchmark.p
% 117.01/25.78 [25.436673s][1][Res] 301596 goroutines created
% 117.01/25.78 ==== Result ====
% 117.01/25.78 [25.436722s][1][Res] VALID
% 117.01/25.78 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------