TSTP Solution File: GEO249+1 by Goeland---1.0.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : GEO249+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 16 15:18:43 EDT 2022
% Result : Theorem 2.59s 0.95s
% Output : Proof 2.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO249+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.07/0.13 % Command : goeland -dmt -presko -proof %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 31 07:02:58 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 [DMT] DMT loaded with preskolemization
% 0.13/0.35 [EQ] equality loaded.
% 0.13/0.35 [0.000054s][1][MAIN] Problem : theBenchmark.p
% 0.13/0.36 Conjecture not found
% 0.13/0.36 Start search
% 0.13/0.37 nb_step : 1 - limit : 32
% 0.13/0.37 Launch Gotab with destructive = true
% 2.59/0.95 % SZS output start Proof for theBenchmark.p
% 2.59/0.95 [0] ALPHA_AND : ((! [A20_20] : (~distinct_points(A20_20, A20_20)) & ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23)))) & ! [L24_24] : (~distinct_lines(L24_24, L24_24)) & ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27)))) & ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28)) & ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31)))) & ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34)))))) & ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36))))) & ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38))))) & ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40)))) & ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42)))) & ! [A43_43, B44_44] : ((((point(A43_43) & point(B44_44)) & distinct_points(A43_43, B44_44)) => line(line_connecting(A43_43, B44_44)))) & ! [L45_45, M46_46] : (((((line(L45_45) & line(M46_46)) & unequally_directed_lines(L45_45, M46_46)) & unequally_directed_lines(L45_45, reverse_line(M46_46))) => point(intersection_point(L45_45, M46_46)))) & ! [L47_47, A48_48] : (((point(A48_48) & line(L47_47)) => line(parallel_through_point(L47_47, A48_48)))) & ! [L49_49] : ((line(L49_49) => line(reverse_line(L49_49)))) & ! [A50_50, B51_51] : ((distinct_points(A50_50, B51_51) => (~apart_point_and_line(A50_50, line_connecting(A50_50, B51_51)) & ~apart_point_and_line(B51_51, line_connecting(A50_50, B51_51))))) & ! [L52_52, M53_53] : (((unequally_directed_lines(L52_52, M53_53) & unequally_directed_lines(L52_52, reverse_line(M53_53))) => (~apart_point_and_line(intersection_point(L52_52, M53_53), L52_52) & ~apart_point_and_line(intersection_point(L52_52, M53_53), M53_53)))) & ! [A54_54, L55_55] : (~apart_point_and_line(A54_54, parallel_through_point(L55_55, A54_54))) & ! [L56_56] : (~distinct_lines(L56_56, reverse_line(L56_56))) & ! [A57_57, B58_58] : (~unequally_directed_lines(line_connecting(A57_57, B58_58), reverse_line(line_connecting(B58_58, A57_57)))) & ! [A59_59, L60_60] : (~unequally_directed_lines(parallel_through_point(L60_60, A59_59), L60_60)) & ! [A61_61, B62_62, L63_63, M64_64] : (((distinct_points(A61_61, B62_62) & distinct_lines(L63_63, M64_64)) => (((((((left_apart_point(A61_61, L63_63) | left_apart_point(B62_62, L63_63)) | left_apart_point(A61_61, M64_64)) | left_apart_point(B62_62, M64_64)) | left_apart_point(A61_61, reverse_line(L63_63))) | left_apart_point(B62_62, reverse_line(L63_63))) | left_apart_point(A61_61, reverse_line(M64_64))) | left_apart_point(B62_62, reverse_line(M64_64))))) & ! [A65_65, B66_66, L67_67] : (((distinct_points(A65_65, B66_66) & left_apart_point(A65_65, L67_67)) => (left_apart_point(B66_66, L67_67) | left_convergent_lines(line_connecting(A65_65, B66_66), L67_67)))) & ! [A68_68, B69_69, L70_70] : ((left_apart_point(A68_68, L70_70) => (distinct_points(A68_68, B69_69) | left_apart_point(B69_69, L70_70)))) & ! [A71_71, L72_72, M73_73] : (((left_apart_point(A71_71, L72_72) & unequally_directed_lines(L72_72, M73_73)) => (distinct_lines(L72_72, M73_73) | left_apart_point(A71_71, reverse_line(M73_73))))) & ! [L74_74, M75_75, N76_76] : ((left_convergent_lines(L74_74, M75_75) => (unequally_directed_lines(M75_75, N76_76) | left_convergent_lines(L74_74, N76_76))))) & ~! [A77_77, B78_78, L79_79] : (((left_apart_point(A77_77, reverse_line(L79_79)) & left_apart_point(B78_78, reverse_line(parallel_through_point(L79_79, A77_77)))) => left_apart_point(B78_78, reverse_line(L79_79)))))
% 2.59/0.95 -> [1] (! [A20_20] : (~distinct_points(A20_20, A20_20)) & ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23)))) & ! [L24_24] : (~distinct_lines(L24_24, L24_24)) & ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27)))) & ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28)) & ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31)))) & ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34)))))) & ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36))))) & ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38))))) & ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40)))) & ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42)))) & ! [A43_43, B44_44] : ((((point(A43_43) & point(B44_44)) & distinct_points(A43_43, B44_44)) => line(line_connecting(A43_43, B44_44)))) & ! [L45_45, M46_46] : (((((line(L45_45) & line(M46_46)) & unequally_directed_lines(L45_45, M46_46)) & unequally_directed_lines(L45_45, reverse_line(M46_46))) => point(intersection_point(L45_45, M46_46)))) & ! [L47_47, A48_48] : (((point(A48_48) & line(L47_47)) => line(parallel_through_point(L47_47, A48_48)))) & ! [L49_49] : ((line(L49_49) => line(reverse_line(L49_49)))) & ! [A50_50, B51_51] : ((distinct_points(A50_50, B51_51) => (~apart_point_and_line(A50_50, line_connecting(A50_50, B51_51)) & ~apart_point_and_line(B51_51, line_connecting(A50_50, B51_51))))) & ! [L52_52, M53_53] : (((unequally_directed_lines(L52_52, M53_53) & unequally_directed_lines(L52_52, reverse_line(M53_53))) => (~apart_point_and_line(intersection_point(L52_52, M53_53), L52_52) & ~apart_point_and_line(intersection_point(L52_52, M53_53), M53_53)))) & ! [A54_54, L55_55] : (~apart_point_and_line(A54_54, parallel_through_point(L55_55, A54_54))) & ! [L56_56] : (~distinct_lines(L56_56, reverse_line(L56_56))) & ! [A57_57, B58_58] : (~unequally_directed_lines(line_connecting(A57_57, B58_58), reverse_line(line_connecting(B58_58, A57_57)))) & ! [A59_59, L60_60] : (~unequally_directed_lines(parallel_through_point(L60_60, A59_59), L60_60)) & ! [A61_61, B62_62, L63_63, M64_64] : (((distinct_points(A61_61, B62_62) & distinct_lines(L63_63, M64_64)) => (((((((left_apart_point(A61_61, L63_63) | left_apart_point(B62_62, L63_63)) | left_apart_point(A61_61, M64_64)) | left_apart_point(B62_62, M64_64)) | left_apart_point(A61_61, reverse_line(L63_63))) | left_apart_point(B62_62, reverse_line(L63_63))) | left_apart_point(A61_61, reverse_line(M64_64))) | left_apart_point(B62_62, reverse_line(M64_64))))) & ! [A65_65, B66_66, L67_67] : (((distinct_points(A65_65, B66_66) & left_apart_point(A65_65, L67_67)) => (left_apart_point(B66_66, L67_67) | left_convergent_lines(line_connecting(A65_65, B66_66), L67_67)))) & ! [A68_68, B69_69, L70_70] : ((left_apart_point(A68_68, L70_70) => (distinct_points(A68_68, B69_69) | left_apart_point(B69_69, L70_70)))) & ! [A71_71, L72_72, M73_73] : (((left_apart_point(A71_71, L72_72) & unequally_directed_lines(L72_72, M73_73)) => (distinct_lines(L72_72, M73_73) | left_apart_point(A71_71, reverse_line(M73_73))))) & ! [L74_74, M75_75, N76_76] : ((left_convergent_lines(L74_74, M75_75) => (unequally_directed_lines(M75_75, N76_76) | left_convergent_lines(L74_74, N76_76))))), ~! [A77_77, B78_78, L79_79] : (((left_apart_point(A77_77, reverse_line(L79_79)) & left_apart_point(B78_78, reverse_line(parallel_through_point(L79_79, A77_77)))) => left_apart_point(B78_78, reverse_line(L79_79))))
% 2.59/0.95
% 2.59/0.95 [1] ALPHA_AND : (! [A20_20] : (~distinct_points(A20_20, A20_20)) & ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23)))) & ! [L24_24] : (~distinct_lines(L24_24, L24_24)) & ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27)))) & ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28)) & ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31)))) & ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34)))))) & ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36))))) & ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38))))) & ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40)))) & ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42)))) & ! [A43_43, B44_44] : ((((point(A43_43) & point(B44_44)) & distinct_points(A43_43, B44_44)) => line(line_connecting(A43_43, B44_44)))) & ! [L45_45, M46_46] : (((((line(L45_45) & line(M46_46)) & unequally_directed_lines(L45_45, M46_46)) & unequally_directed_lines(L45_45, reverse_line(M46_46))) => point(intersection_point(L45_45, M46_46)))) & ! [L47_47, A48_48] : (((point(A48_48) & line(L47_47)) => line(parallel_through_point(L47_47, A48_48)))) & ! [L49_49] : ((line(L49_49) => line(reverse_line(L49_49)))) & ! [A50_50, B51_51] : ((distinct_points(A50_50, B51_51) => (~apart_point_and_line(A50_50, line_connecting(A50_50, B51_51)) & ~apart_point_and_line(B51_51, line_connecting(A50_50, B51_51))))) & ! [L52_52, M53_53] : (((unequally_directed_lines(L52_52, M53_53) & unequally_directed_lines(L52_52, reverse_line(M53_53))) => (~apart_point_and_line(intersection_point(L52_52, M53_53), L52_52) & ~apart_point_and_line(intersection_point(L52_52, M53_53), M53_53)))) & ! [A54_54, L55_55] : (~apart_point_and_line(A54_54, parallel_through_point(L55_55, A54_54))) & ! [L56_56] : (~distinct_lines(L56_56, reverse_line(L56_56))) & ! [A57_57, B58_58] : (~unequally_directed_lines(line_connecting(A57_57, B58_58), reverse_line(line_connecting(B58_58, A57_57)))) & ! [A59_59, L60_60] : (~unequally_directed_lines(parallel_through_point(L60_60, A59_59), L60_60)) & ! [A61_61, B62_62, L63_63, M64_64] : (((distinct_points(A61_61, B62_62) & distinct_lines(L63_63, M64_64)) => (((((((left_apart_point(A61_61, L63_63) | left_apart_point(B62_62, L63_63)) | left_apart_point(A61_61, M64_64)) | left_apart_point(B62_62, M64_64)) | left_apart_point(A61_61, reverse_line(L63_63))) | left_apart_point(B62_62, reverse_line(L63_63))) | left_apart_point(A61_61, reverse_line(M64_64))) | left_apart_point(B62_62, reverse_line(M64_64))))) & ! [A65_65, B66_66, L67_67] : (((distinct_points(A65_65, B66_66) & left_apart_point(A65_65, L67_67)) => (left_apart_point(B66_66, L67_67) | left_convergent_lines(line_connecting(A65_65, B66_66), L67_67)))) & ! [A68_68, B69_69, L70_70] : ((left_apart_point(A68_68, L70_70) => (distinct_points(A68_68, B69_69) | left_apart_point(B69_69, L70_70)))) & ! [A71_71, L72_72, M73_73] : (((left_apart_point(A71_71, L72_72) & unequally_directed_lines(L72_72, M73_73)) => (distinct_lines(L72_72, M73_73) | left_apart_point(A71_71, reverse_line(M73_73))))) & ! [L74_74, M75_75, N76_76] : ((left_convergent_lines(L74_74, M75_75) => (unequally_directed_lines(M75_75, N76_76) | left_convergent_lines(L74_74, N76_76)))))
% 2.59/0.95 -> [2] ! [A20_20] : (~distinct_points(A20_20, A20_20)), ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23)))), ! [L24_24] : (~distinct_lines(L24_24, L24_24)), ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27)))), ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28)), ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31)))), ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34)))))), ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36))))), ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38))))), ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40)))), ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42)))), ! [A43_43, B44_44] : ((((point(A43_43) & point(B44_44)) & distinct_points(A43_43, B44_44)) => line(line_connecting(A43_43, B44_44)))), ! [L45_45, M46_46] : (((((line(L45_45) & line(M46_46)) & unequally_directed_lines(L45_45, M46_46)) & unequally_directed_lines(L45_45, reverse_line(M46_46))) => point(intersection_point(L45_45, M46_46)))), ! [L47_47, A48_48] : (((point(A48_48) & line(L47_47)) => line(parallel_through_point(L47_47, A48_48)))), ! [L49_49] : ((line(L49_49) => line(reverse_line(L49_49)))), ! [A50_50, B51_51] : ((distinct_points(A50_50, B51_51) => (~apart_point_and_line(A50_50, line_connecting(A50_50, B51_51)) & ~apart_point_and_line(B51_51, line_connecting(A50_50, B51_51))))), ! [L52_52, M53_53] : (((unequally_directed_lines(L52_52, M53_53) & unequally_directed_lines(L52_52, reverse_line(M53_53))) => (~apart_point_and_line(intersection_point(L52_52, M53_53), L52_52) & ~apart_point_and_line(intersection_point(L52_52, M53_53), M53_53)))), ! [A54_54, L55_55] : (~apart_point_and_line(A54_54, parallel_through_point(L55_55, A54_54))), ! [L56_56] : (~distinct_lines(L56_56, reverse_line(L56_56))), ! [A57_57, B58_58] : (~unequally_directed_lines(line_connecting(A57_57, B58_58), reverse_line(line_connecting(B58_58, A57_57)))), ! [A59_59, L60_60] : (~unequally_directed_lines(parallel_through_point(L60_60, A59_59), L60_60)), ! [A61_61, B62_62, L63_63, M64_64] : (((distinct_points(A61_61, B62_62) & distinct_lines(L63_63, M64_64)) => (((((((left_apart_point(A61_61, L63_63) | left_apart_point(B62_62, L63_63)) | left_apart_point(A61_61, M64_64)) | left_apart_point(B62_62, M64_64)) | left_apart_point(A61_61, reverse_line(L63_63))) | left_apart_point(B62_62, reverse_line(L63_63))) | left_apart_point(A61_61, reverse_line(M64_64))) | left_apart_point(B62_62, reverse_line(M64_64))))), ! [A65_65, B66_66, L67_67] : (((distinct_points(A65_65, B66_66) & left_apart_point(A65_65, L67_67)) => (left_apart_point(B66_66, L67_67) | left_convergent_lines(line_connecting(A65_65, B66_66), L67_67)))), ! [A68_68, B69_69, L70_70] : ((left_apart_point(A68_68, L70_70) => (distinct_points(A68_68, B69_69) | left_apart_point(B69_69, L70_70)))), ! [A71_71, L72_72, M73_73] : (((left_apart_point(A71_71, L72_72) & unequally_directed_lines(L72_72, M73_73)) => (distinct_lines(L72_72, M73_73) | left_apart_point(A71_71, reverse_line(M73_73))))), ! [L74_74, M75_75, N76_76] : ((left_convergent_lines(L74_74, M75_75) => (unequally_directed_lines(M75_75, N76_76) | left_convergent_lines(L74_74, N76_76))))
% 2.59/0.95
% 2.59/0.95 [2] DELTA_NOT_FORALL : ~! [A77_77, B78_78, L79_79] : (((left_apart_point(A77_77, reverse_line(L79_79)) & left_apart_point(B78_78, reverse_line(parallel_through_point(L79_79, A77_77)))) => left_apart_point(B78_78, reverse_line(L79_79))))
% 2.59/0.95 -> [3] ~((left_apart_point(skolem_A7777, reverse_line(skolem_L7979)) & left_apart_point(skolem_B7878, reverse_line(parallel_through_point(skolem_L7979, skolem_A7777)))) => left_apart_point(skolem_B7878, reverse_line(skolem_L7979)))
% 2.59/0.95
% 2.59/0.95 [3] ALPHA_NOT_IMPLY : ~((left_apart_point(skolem_A7777, reverse_line(skolem_L7979)) & left_apart_point(skolem_B7878, reverse_line(parallel_through_point(skolem_L7979, skolem_A7777)))) => left_apart_point(skolem_B7878, reverse_line(skolem_L7979)))
% 2.59/0.95 -> [4] (left_apart_point(skolem_A7777, reverse_line(skolem_L7979)) & left_apart_point(skolem_B7878, reverse_line(parallel_through_point(skolem_L7979, skolem_A7777)))), ~left_apart_point(skolem_B7878, reverse_line(skolem_L7979))
% 2.59/0.95
% 2.59/0.95 [4] ALPHA_AND : (left_apart_point(skolem_A7777, reverse_line(skolem_L7979)) & left_apart_point(skolem_B7878, reverse_line(parallel_through_point(skolem_L7979, skolem_A7777))))
% 2.59/0.95 -> [5] left_apart_point(skolem_A7777, reverse_line(skolem_L7979)), left_apart_point(skolem_B7878, reverse_line(parallel_through_point(skolem_L7979, skolem_A7777)))
% 2.59/0.95
% 2.59/0.95 [5] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 2.59/0.95 -> [6] ~distinct_points(C23_0_1, C23_0_1)
% 2.59/0.95
% 2.59/0.95 [6] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 2.59/0.95 -> [7] (distinct_points(C23_0_1, C23_0_1) => (distinct_points(C23_0_1, C23_0_1) | distinct_points(C23_0_1, C23_0_1)))
% 2.59/0.95
% 2.59/0.95 [7] BETA_IMPLY : (distinct_points(C23_0_1, C23_0_1) => (distinct_points(C23_0_1, C23_0_1) | distinct_points(C23_0_1, C23_0_1)))
% 2.59/0.95 -> [8] ~distinct_points(C23_0_1, C23_0_1)
% 2.59/0.95 -> [9] (distinct_points(C23_0_1, C23_0_1) | distinct_points(C23_0_1, C23_0_1))
% 2.59/0.95
% 2.59/0.95 [9] BETA_OR : (distinct_points(C23_0_1, C23_0_1) | distinct_points(C23_0_1, C23_0_1))
% 2.59/0.95 -> [10] distinct_points(C23_0_1, C23_0_1)
% 2.59/0.95 -> [11] distinct_points(C23_0_1, C23_0_1)
% 2.59/0.95
% 2.59/0.95 [11] CLOSURE : distinct_points(C23_0_1, C23_0_1)
% 2.59/0.95
% 2.59/0.95 [10] CLOSURE : distinct_points(C23_0_1, C23_0_1)
% 2.59/0.95
% 2.59/0.95 [8] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 2.59/0.95 -> [12] ~distinct_lines(N27_0_3, N27_0_3)
% 2.59/0.95
% 2.59/0.95 [12] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 2.59/0.95 -> [13] (distinct_lines(N27_0_3, N27_0_3) => (distinct_lines(N27_0_3, N27_0_3) | distinct_lines(N27_0_3, N27_0_3)))
% 2.59/0.95
% 2.59/0.95 [13] BETA_IMPLY : (distinct_lines(N27_0_3, N27_0_3) => (distinct_lines(N27_0_3, N27_0_3) | distinct_lines(N27_0_3, N27_0_3)))
% 2.59/0.95 -> [14] ~distinct_lines(N27_0_3, N27_0_3)
% 2.59/0.95 -> [15] (distinct_lines(N27_0_3, N27_0_3) | distinct_lines(N27_0_3, N27_0_3))
% 2.59/0.95
% 2.59/0.95 [15] BETA_OR : (distinct_lines(N27_0_3, N27_0_3) | distinct_lines(N27_0_3, N27_0_3))
% 2.59/0.95 -> [16] distinct_lines(N27_0_3, N27_0_3)
% 2.59/0.95 -> [17] distinct_lines(N27_0_3, N27_0_3)
% 2.59/0.95
% 2.59/0.95 [17] CLOSURE : distinct_lines(N27_0_3, N27_0_3)
% 2.59/0.95
% 2.59/0.95 [16] CLOSURE : distinct_lines(N27_0_3, N27_0_3)
% 2.59/0.95
% 2.59/0.95 [14] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 2.59/0.95 -> [18] ~unequally_directed_lines(reverse_line(M36_4_7), reverse_line(M36_4_7))
% 2.59/0.95
% 2.59/0.95 [18] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 2.59/0.95 -> [19] (unequally_directed_lines(reverse_line(M36_4_7), reverse_line(M36_4_7)) => (unequally_directed_lines(reverse_line(M36_4_7), reverse_line(M36_4_7)) | unequally_directed_lines(reverse_line(M36_4_7), reverse_line(M36_4_7))))
% 2.59/0.95
% 2.59/0.95 [19] BETA_IMPLY : (unequally_directed_lines(reverse_line(M36_4_7), reverse_line(M36_4_7)) => (unequally_directed_lines(reverse_line(M36_4_7), reverse_line(M36_4_7)) | unequally_directed_lines(reverse_line(M36_4_7), reverse_line(M36_4_7))))
% 2.59/0.95 -> [20] ~unequally_directed_lines(reverse_line(M36_4_7), reverse_line(M36_4_7))
% 2.59/0.95 -> [21] (unequally_directed_lines(reverse_line(M36_4_7), reverse_line(M36_4_7)) | unequally_directed_lines(reverse_line(M36_4_7), reverse_line(M36_4_7)))
% 2.59/0.95
% 2.59/0.95 [21] BETA_OR : (unequally_directed_lines(reverse_line(M36_4_7), reverse_line(M36_4_7)) | unequally_directed_lines(reverse_line(M36_4_7), reverse_line(M36_4_7)))
% 2.59/0.95 -> [22] unequally_directed_lines(reverse_line(M36_4_7), reverse_line(M36_4_7))
% 2.59/0.95 -> [23] unequally_directed_lines(reverse_line(M36_4_7), reverse_line(M36_4_7))
% 2.59/0.95
% 2.59/0.95 [23] CLOSURE : unequally_directed_lines(reverse_line(M36_4_7), reverse_line(M36_4_7))
% 2.59/0.95
% 2.59/0.95 [22] CLOSURE : unequally_directed_lines(reverse_line(M36_4_7), reverse_line(M36_4_7))
% 2.59/0.95
% 2.59/0.95 [24] BETA_IMPLY : ((unequally_directed_lines(reverse_line(M36_4_7), M36_4_7) & unequally_directed_lines(reverse_line(M36_4_7), reverse_line(M36_4_7))) => ((unequally_directed_lines(reverse_line(M36_4_7), reverse_line(M36_4_7)) & unequally_directed_lines(reverse_line(M36_4_7), reverse_line(reverse_line(M36_4_7)))) | (unequally_directed_lines(M36_4_7, reverse_line(M36_4_7)) & unequally_directed_lines(M36_4_7, reverse_line(reverse_line(M36_4_7))))))
% 2.59/0.95 -> [255] ~(unequally_directed_lines(reverse_line(M36_4_7), M36_4_7) & unequally_directed_lines(reverse_line(M36_4_7), reverse_line(M36_4_7)))
% 2.59/0.95 -> [256] ((unequally_directed_lines(reverse_line(M36_4_7), reverse_line(M36_4_7)) & unequally_directed_lines(reverse_line(M36_4_7), reverse_line(reverse_line(M36_4_7)))) | (unequally_directed_lines(M36_4_7, reverse_line(M36_4_7)) & unequally_directed_lines(M36_4_7, reverse_line(reverse_line(M36_4_7)))))
% 2.59/0.95
% 2.59/0.95 [255] BETA_NOT_AND : ~(unequally_directed_lines(reverse_line(M36_4_7), M36_4_7) & unequally_directed_lines(reverse_line(M36_4_7), reverse_line(M36_4_7)))
% 2.59/0.95 -> [257] ~unequally_directed_lines(reverse_line(M36_4_7), M36_4_7)
% 2.59/0.95 -> [258] ~unequally_directed_lines(reverse_line(M36_4_7), reverse_line(M36_4_7))
% 2.59/0.95
% 2.59/0.95 [257] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 2.59/0.95 -> [263] ((line(reverse_line(M36_4_7)) & line(M36_4_7)) => (unequally_directed_lines(reverse_line(M36_4_7), M36_4_7) | unequally_directed_lines(reverse_line(M36_4_7), reverse_line(M36_4_7))))
% 2.59/0.95
% 2.59/0.95 [263] BETA_IMPLY : ((line(reverse_line(M36_4_7)) & line(M36_4_7)) => (unequally_directed_lines(reverse_line(M36_4_7), M36_4_7) | unequally_directed_lines(reverse_line(M36_4_7), reverse_line(M36_4_7))))
% 2.59/0.95 -> [265] ~(line(reverse_line(M36_4_7)) & line(M36_4_7))
% 2.59/0.95 -> [266] (unequally_directed_lines(reverse_line(M36_4_7), M36_4_7) | unequally_directed_lines(reverse_line(M36_4_7), reverse_line(M36_4_7)))
% 2.59/0.95
% 2.59/0.95 [266] BETA_OR : (unequally_directed_lines(reverse_line(M36_4_7), M36_4_7) | unequally_directed_lines(reverse_line(M36_4_7), reverse_line(M36_4_7)))
% 2.59/0.95 -> [275] unequally_directed_lines(reverse_line(M36_4_7), M36_4_7)
% 2.59/0.95 -> [276] unequally_directed_lines(reverse_line(M36_4_7), reverse_line(M36_4_7))
% 2.59/0.95
% 2.59/0.95 [275] CLOSURE : unequally_directed_lines(reverse_line(M36_4_7), M36_4_7)
% 2.59/0.95
% 2.59/0.95 [276] CLOSURE : unequally_directed_lines(reverse_line(M36_4_7), reverse_line(M36_4_7))
% 2.59/0.95
% 2.59/0.95 [265] BETA_NOT_AND : ~(line(reverse_line(M36_4_7)) & line(M36_4_7))
% 2.59/0.95 -> [269] ~line(reverse_line(M36_4_7))
% 2.59/0.95 -> [270] ~line(M36_4_7)
% 2.59/0.95
% 2.59/0.95 [270] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 2.59/0.95 -> [277] ((unequally_directed_lines(L37_12_8, M38_12_8) & unequally_directed_lines(L37_12_8, reverse_line(M38_12_8))) => (left_convergent_lines(L37_12_8, M38_12_8) | left_convergent_lines(L37_12_8, reverse_line(M38_12_8))))
% 2.59/0.95
% 2.59/0.95 [277] BETA_IMPLY : ((unequally_directed_lines(L37_12_8, M38_12_8) & unequally_directed_lines(L37_12_8, reverse_line(M38_12_8))) => (left_convergent_lines(L37_12_8, M38_12_8) | left_convergent_lines(L37_12_8, reverse_line(M38_12_8))))
% 2.59/0.95 -> [279] ~(unequally_directed_lines(L37_12_8, M38_12_8) & unequally_directed_lines(L37_12_8, reverse_line(M38_12_8)))
% 2.59/0.95 -> [280] (left_convergent_lines(L37_12_8, M38_12_8) | left_convergent_lines(L37_12_8, reverse_line(M38_12_8)))
% 2.59/0.95
% 2.59/0.95 [280] BETA_OR : (left_convergent_lines(L37_12_8, M38_12_8) | left_convergent_lines(L37_12_8, reverse_line(M38_12_8)))
% 2.59/0.95 -> [289] left_convergent_lines(L37_12_8, M38_12_8)
% 2.59/0.95 -> [290] left_convergent_lines(L37_12_8, reverse_line(M38_12_8))
% 2.59/0.95
% 2.59/0.95 [289] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 2.59/0.95 -> [305] ~(left_apart_point(A39_48_9, L40_48_9) | left_apart_point(A39_48_9, reverse_line(L40_48_9)))
% 2.59/0.95
% 2.59/0.95 [305] ALPHA_NOT_OR : ~(left_apart_point(A39_48_9, L40_48_9) | left_apart_point(A39_48_9, reverse_line(L40_48_9)))
% 2.59/0.95 -> [307] ~left_apart_point(A39_48_9, L40_48_9), ~left_apart_point(A39_48_9, reverse_line(L40_48_9))
% 2.59/0.95
% 2.59/0.95 [307] CLOSURE : ~left_apart_point(A39_48_9, L40_48_9)
% 2.59/0.95
% 2.59/0.95 [290] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 2.59/0.95 -> [314] ~(left_apart_point(A39_53_9, L40_53_9) | left_apart_point(A39_53_9, reverse_line(L40_53_9)))
% 2.59/0.95
% 2.59/0.95 [314] ALPHA_NOT_OR : ~(left_apart_point(A39_53_9, L40_53_9) | left_apart_point(A39_53_9, reverse_line(L40_53_9)))
% 2.59/0.95 -> [318] ~left_apart_point(A39_53_9, L40_53_9), ~left_apart_point(A39_53_9, reverse_line(L40_53_9))
% 2.59/0.95
% 2.59/0.95 [318] CLOSURE : ~left_apart_point(A39_53_9, L40_53_9)
% 2.59/0.95
% 2.59/0.95 [279] BETA_NOT_AND : ~(unequally_directed_lines(L37_12_8, M38_12_8) & unequally_directed_lines(L37_12_8, reverse_line(M38_12_8)))
% 2.59/0.95 -> [287] ~unequally_directed_lines(L37_12_8, M38_12_8)
% 2.59/0.95 -> [288] ~unequally_directed_lines(L37_12_8, reverse_line(M38_12_8))
% 2.59/0.95
% 2.59/0.95 [287] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 2.59/0.95 -> [310] ~(left_apart_point(A39_51_9, L40_51_9) | left_apart_point(A39_51_9, reverse_line(L40_51_9)))
% 2.59/0.95
% 2.59/0.95 [310] ALPHA_NOT_OR : ~(left_apart_point(A39_51_9, L40_51_9) | left_apart_point(A39_51_9, reverse_line(L40_51_9)))
% 2.59/0.95 -> [312] ~left_apart_point(A39_51_9, L40_51_9), ~left_apart_point(A39_51_9, reverse_line(L40_51_9))
% 2.59/0.95
% 2.59/0.95 [312] CLOSURE : ~left_apart_point(A39_51_9, L40_51_9)
% 2.59/0.95
% 2.59/0.95 [288] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 2.59/0.95 -> [317] ~(left_apart_point(A39_55_9, L40_55_9) | left_apart_point(A39_55_9, reverse_line(L40_55_9)))
% 2.59/0.95
% 2.59/0.95 [317] ALPHA_NOT_OR : ~(left_apart_point(A39_55_9, L40_55_9) | left_apart_point(A39_55_9, reverse_line(L40_55_9)))
% 2.59/0.95 -> [321] ~left_apart_point(A39_55_9, L40_55_9), ~left_apart_point(A39_55_9, reverse_line(L40_55_9))
% 2.59/0.95
% 2.59/0.95 [321] CLOSURE : ~left_apart_point(A39_55_9, L40_55_9)
% 2.59/0.95
% 2.59/0.95 [269] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 2.59/0.95 -> [281] ((unequally_directed_lines(L37_14_8, M38_14_8) & unequally_directed_lines(L37_14_8, reverse_line(M38_14_8))) => (left_convergent_lines(L37_14_8, M38_14_8) | left_convergent_lines(L37_14_8, reverse_line(M38_14_8))))
% 2.59/0.95
% 2.59/0.95 [281] BETA_IMPLY : ((unequally_directed_lines(L37_14_8, M38_14_8) & unequally_directed_lines(L37_14_8, reverse_line(M38_14_8))) => (left_convergent_lines(L37_14_8, M38_14_8) | left_convergent_lines(L37_14_8, reverse_line(M38_14_8))))
% 2.59/0.95 -> [285] ~(unequally_directed_lines(L37_14_8, M38_14_8) & unequally_directed_lines(L37_14_8, reverse_line(M38_14_8)))
% 2.59/0.95 -> [286] (left_convergent_lines(L37_14_8, M38_14_8) | left_convergent_lines(L37_14_8, reverse_line(M38_14_8)))
% 2.59/0.95
% 2.59/0.95 [286] BETA_OR : (left_convergent_lines(L37_14_8, M38_14_8) | left_convergent_lines(L37_14_8, reverse_line(M38_14_8)))
% 2.59/0.95 -> [297] left_convergent_lines(L37_14_8, M38_14_8)
% 2.59/0.95 -> [298] left_convergent_lines(L37_14_8, reverse_line(M38_14_8))
% 2.59/0.95
% 2.59/0.95 [298] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 2.59/0.95 -> [313] ~(left_apart_point(A39_52_9, L40_52_9) | left_apart_point(A39_52_9, reverse_line(L40_52_9)))
% 2.59/0.95
% 2.59/0.95 [313] ALPHA_NOT_OR : ~(left_apart_point(A39_52_9, L40_52_9) | left_apart_point(A39_52_9, reverse_line(L40_52_9)))
% 2.59/0.95 -> [315] ~left_apart_point(A39_52_9, L40_52_9), ~left_apart_point(A39_52_9, reverse_line(L40_52_9))
% 2.59/0.95
% 2.59/0.95 [315] CLOSURE : ~left_apart_point(A39_52_9, L40_52_9)
% 2.59/0.95
% 2.59/0.95 [297] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 2.59/0.95 -> [324] ~(left_apart_point(A39_58_9, L40_58_9) | left_apart_point(A39_58_9, reverse_line(L40_58_9)))
% 2.59/0.95
% 2.59/0.95 [324] ALPHA_NOT_OR : ~(left_apart_point(A39_58_9, L40_58_9) | left_apart_point(A39_58_9, reverse_line(L40_58_9)))
% 2.59/0.95 -> [325] ~left_apart_point(A39_58_9, L40_58_9), ~left_apart_point(A39_58_9, reverse_line(L40_58_9))
% 2.59/0.95
% 2.59/0.95 [325] CLOSURE : ~left_apart_point(A39_58_9, L40_58_9)
% 2.59/0.95
% 2.59/0.95 [285] BETA_NOT_AND : ~(unequally_directed_lines(L37_14_8, M38_14_8) & unequally_directed_lines(L37_14_8, reverse_line(M38_14_8)))
% 2.59/0.95 -> [293] ~unequally_directed_lines(L37_14_8, M38_14_8)
% 2.59/0.95 -> [294] ~unequally_directed_lines(L37_14_8, reverse_line(M38_14_8))
% 2.59/0.95
% 2.59/0.95 [294] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 2.59/0.95 -> [306] ~(left_apart_point(A39_49_9, L40_49_9) | left_apart_point(A39_49_9, reverse_line(L40_49_9)))
% 2.59/0.95
% 2.59/0.95 [306] ALPHA_NOT_OR : ~(left_apart_point(A39_49_9, L40_49_9) | left_apart_point(A39_49_9, reverse_line(L40_49_9)))
% 2.59/0.95 -> [309] ~left_apart_point(A39_49_9, L40_49_9), ~left_apart_point(A39_49_9, reverse_line(L40_49_9))
% 2.59/0.95
% 2.59/0.95 [309] CLOSURE : ~left_apart_point(A39_49_9, L40_49_9)
% 2.59/0.95
% 2.59/0.95 [293] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 2.59/0.95 -> [326] ~(left_apart_point(A39_59_9, L40_59_9) | left_apart_point(A39_59_9, reverse_line(L40_59_9)))
% 2.59/0.95
% 2.59/0.95 [326] ALPHA_NOT_OR : ~(left_apart_point(A39_59_9, L40_59_9) | left_apart_point(A39_59_9, reverse_line(L40_59_9)))
% 2.59/0.95 -> [329] ~left_apart_point(A39_59_9, L40_59_9), ~left_apart_point(A39_59_9, reverse_line(L40_59_9))
% 2.59/0.95
% 2.59/0.95 [329] CLOSURE : ~left_apart_point(A39_59_9, L40_59_9)
% 2.59/0.95
% 2.59/0.95 [264] BETA_IMPLY : ((line(reverse_line(M36_4_7)) & line(reverse_line(M36_4_7))) => (unequally_directed_lines(reverse_line(M36_4_7), reverse_line(M36_4_7)) | unequally_directed_lines(reverse_line(M36_4_7), reverse_line(reverse_line(M36_4_7)))))
% 2.59/0.95 -> [337] ~(line(reverse_line(M36_4_7)) & line(reverse_line(M36_4_7)))
% 2.59/0.95 -> [338] (unequally_directed_lines(reverse_line(M36_4_7), reverse_line(M36_4_7)) | unequally_directed_lines(reverse_line(M36_4_7), reverse_line(reverse_line(M36_4_7))))
% 2.59/0.95
% 2.59/0.95 [337] BETA_NOT_AND : ~(line(reverse_line(M36_4_7)) & line(reverse_line(M36_4_7)))
% 2.59/0.95 -> [339] ~line(reverse_line(M36_4_7))
% 2.59/0.95 -> [340] ~line(reverse_line(M36_4_7))
% 2.59/0.95
% 2.59/0.95 [339] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 2.59/0.95 -> [343] ((unequally_directed_lines(L37_16_8, M38_16_8) & unequally_directed_lines(L37_16_8, reverse_line(M38_16_8))) => (left_convergent_lines(L37_16_8, M38_16_8) | left_convergent_lines(L37_16_8, reverse_line(M38_16_8))))
% 2.59/0.95
% 2.59/0.95 [343] BETA_IMPLY : ((unequally_directed_lines(L37_16_8, M38_16_8) & unequally_directed_lines(L37_16_8, reverse_line(M38_16_8))) => (left_convergent_lines(L37_16_8, M38_16_8) | left_convergent_lines(L37_16_8, reverse_line(M38_16_8))))
% 2.59/0.95 -> [345] ~(unequally_directed_lines(L37_16_8, M38_16_8) & unequally_directed_lines(L37_16_8, reverse_line(M38_16_8)))
% 2.59/0.95 -> [346] (left_convergent_lines(L37_16_8, M38_16_8) | left_convergent_lines(L37_16_8, reverse_line(M38_16_8)))
% 2.59/0.95
% 2.59/0.95 [345] BETA_NOT_AND : ~(unequally_directed_lines(L37_16_8, M38_16_8) & unequally_directed_lines(L37_16_8, reverse_line(M38_16_8)))
% 2.59/0.95 -> [349] ~unequally_directed_lines(L37_16_8, M38_16_8)
% 2.59/0.95 -> [350] ~unequally_directed_lines(L37_16_8, reverse_line(M38_16_8))
% 2.59/0.95
% 2.59/0.95 [350] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 2.59/0.95 -> [357] ~(left_apart_point(A39_64_9, L40_64_9) | left_apart_point(A39_64_9, reverse_line(L40_64_9)))
% 2.59/0.95
% 2.59/0.95 [357] ALPHA_NOT_OR : ~(left_apart_point(A39_64_9, L40_64_9) | left_apart_point(A39_64_9, reverse_line(L40_64_9)))
% 2.59/0.95 -> [360] ~left_apart_point(A39_64_9, L40_64_9), ~left_apart_point(A39_64_9, reverse_line(L40_64_9))
% 2.59/0.95
% 2.59/0.95 [360] CLOSURE : ~left_apart_point(A39_64_9, L40_64_9)
% 2.59/0.95
% 2.59/0.95 [349] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 2.59/0.95 -> [358] ~(left_apart_point(A39_65_9, L40_65_9) | left_apart_point(A39_65_9, reverse_line(L40_65_9)))
% 2.59/0.95
% 2.59/0.95 [358] ALPHA_NOT_OR : ~(left_apart_point(A39_65_9, L40_65_9) | left_apart_point(A39_65_9, reverse_line(L40_65_9)))
% 2.59/0.95 -> [361] ~left_apart_point(A39_65_9, L40_65_9), ~left_apart_point(A39_65_9, reverse_line(L40_65_9))
% 2.59/0.95
% 2.59/0.95 [361] CLOSURE : ~left_apart_point(A39_65_9, L40_65_9)
% 2.59/0.95
% 2.59/0.95 [346] BETA_OR : (left_convergent_lines(L37_16_8, M38_16_8) | left_convergent_lines(L37_16_8, reverse_line(M38_16_8)))
% 2.59/0.95 -> [351] left_convergent_lines(L37_16_8, M38_16_8)
% 2.59/0.95 -> [352] left_convergent_lines(L37_16_8, reverse_line(M38_16_8))
% 2.59/0.95
% 2.59/0.95 [352] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 2.59/0.95 -> [364] ~(left_apart_point(A39_66_9, L40_66_9) | left_apart_point(A39_66_9, reverse_line(L40_66_9)))
% 2.59/0.95
% 2.59/0.95 [364] ALPHA_NOT_OR : ~(left_apart_point(A39_66_9, L40_66_9) | left_apart_point(A39_66_9, reverse_line(L40_66_9)))
% 2.59/0.95 -> [367] ~left_apart_point(A39_66_9, L40_66_9), ~left_apart_point(A39_66_9, reverse_line(L40_66_9))
% 2.59/0.95
% 2.59/0.95 [367] CLOSURE : ~left_apart_point(A39_66_9, L40_66_9)
% 2.59/0.95
% 2.59/0.95 [351] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 2.59/0.95 -> [373] ~(left_apart_point(A39_70_9, L40_70_9) | left_apart_point(A39_70_9, reverse_line(L40_70_9)))
% 2.59/0.95
% 2.59/0.95 [373] ALPHA_NOT_OR : ~(left_apart_point(A39_70_9, L40_70_9) | left_apart_point(A39_70_9, reverse_line(L40_70_9)))
% 2.59/0.95 -> [376] ~left_apart_point(A39_70_9, L40_70_9), ~left_apart_point(A39_70_9, reverse_line(L40_70_9))
% 2.59/0.95
% 2.59/0.95 [376] CLOSURE : ~left_apart_point(A39_70_9, L40_70_9)
% 2.59/0.95
% 2.59/0.95 [340] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 2.59/0.95 -> [344] ((unequally_directed_lines(L37_17_8, M38_17_8) & unequally_directed_lines(L37_17_8, reverse_line(M38_17_8))) => (left_convergent_lines(L37_17_8, M38_17_8) | left_convergent_lines(L37_17_8, reverse_line(M38_17_8))))
% 2.59/0.95
% 2.59/0.95 [344] BETA_IMPLY : ((unequally_directed_lines(L37_17_8, M38_17_8) & unequally_directed_lines(L37_17_8, reverse_line(M38_17_8))) => (left_convergent_lines(L37_17_8, M38_17_8) | left_convergent_lines(L37_17_8, reverse_line(M38_17_8))))
% 2.59/0.95 -> [347] ~(unequally_directed_lines(L37_17_8, M38_17_8) & unequally_directed_lines(L37_17_8, reverse_line(M38_17_8)))
% 2.59/0.95 -> [348] (left_convergent_lines(L37_17_8, M38_17_8) | left_convergent_lines(L37_17_8, reverse_line(M38_17_8)))
% 2.59/0.95
% 2.59/0.95 [347] BETA_NOT_AND : ~(unequally_directed_lines(L37_17_8, M38_17_8) & unequally_directed_lines(L37_17_8, reverse_line(M38_17_8)))
% 2.59/0.95 -> [353] ~unequally_directed_lines(L37_17_8, M38_17_8)
% 2.59/0.95 -> [354] ~unequally_directed_lines(L37_17_8, reverse_line(M38_17_8))
% 2.59/0.95
% 2.59/0.95 [354] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 2.59/0.95 -> [369] ~(left_apart_point(A39_68_9, L40_68_9) | left_apart_point(A39_68_9, reverse_line(L40_68_9)))
% 2.59/0.95
% 2.59/0.95 [369] ALPHA_NOT_OR : ~(left_apart_point(A39_68_9, L40_68_9) | left_apart_point(A39_68_9, reverse_line(L40_68_9)))
% 2.59/0.95 -> [374] ~left_apart_point(A39_68_9, L40_68_9), ~left_apart_point(A39_68_9, reverse_line(L40_68_9))
% 2.59/0.95
% 2.59/0.95 [374] CLOSURE : ~left_apart_point(A39_68_9, L40_68_9)
% 2.59/0.95
% 2.59/0.95 [353] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 2.59/0.95 -> [372] ~(left_apart_point(A39_69_9, L40_69_9) | left_apart_point(A39_69_9, reverse_line(L40_69_9)))
% 2.59/0.95
% 2.59/0.95 [372] ALPHA_NOT_OR : ~(left_apart_point(A39_69_9, L40_69_9) | left_apart_point(A39_69_9, reverse_line(L40_69_9)))
% 2.59/0.95 -> [375] ~left_apart_point(A39_69_9, L40_69_9), ~left_apart_point(A39_69_9, reverse_line(L40_69_9))
% 2.59/0.95
% 2.59/0.95 [375] CLOSURE : ~left_apart_point(A39_69_9, L40_69_9)
% 2.59/0.95
% 2.59/0.95 [348] BETA_OR : (left_convergent_lines(L37_17_8, M38_17_8) | left_convergent_lines(L37_17_8, reverse_line(M38_17_8)))
% 2.59/0.95 -> [355] left_convergent_lines(L37_17_8, M38_17_8)
% 2.59/0.95 -> [356] left_convergent_lines(L37_17_8, reverse_line(M38_17_8))
% 2.59/0.95
% 2.59/0.95 [355] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 2.59/0.95 -> [368] ~(left_apart_point(A39_67_9, L40_67_9) | left_apart_point(A39_67_9, reverse_line(L40_67_9)))
% 2.59/0.95
% 2.59/0.95 [368] ALPHA_NOT_OR : ~(left_apart_point(A39_67_9, L40_67_9) | left_apart_point(A39_67_9, reverse_line(L40_67_9)))
% 2.59/0.95 -> [377] ~left_apart_point(A39_67_9, L40_67_9), ~left_apart_point(A39_67_9, reverse_line(L40_67_9))
% 2.59/0.95
% 2.59/0.95 [377] CLOSURE : ~left_apart_point(A39_67_9, L40_67_9)
% 2.59/0.95
% 2.59/0.95 [356] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 2.59/0.95 -> [378] ~(left_apart_point(A39_71_9, L40_71_9) | left_apart_point(A39_71_9, reverse_line(L40_71_9)))
% 2.59/0.95
% 2.59/0.95 [378] ALPHA_NOT_OR : ~(left_apart_point(A39_71_9, L40_71_9) | left_apart_point(A39_71_9, reverse_line(L40_71_9)))
% 2.59/0.95 -> [379] ~left_apart_point(A39_71_9, L40_71_9), ~left_apart_point(A39_71_9, reverse_line(L40_71_9))
% 2.59/0.95
% 2.59/0.95 [379] CLOSURE : ~left_apart_point(A39_71_9, L40_71_9)
% 2.59/0.95
% 2.59/0.95 [338] BETA_OR : (unequally_directed_lines(reverse_line(M36_4_7), reverse_line(M36_4_7)) | unequally_directed_lines(reverse_line(M36_4_7), reverse_line(reverse_line(M36_4_7))))
% 2.59/0.95 -> [341] unequally_directed_lines(reverse_line(M36_4_7), reverse_line(M36_4_7))
% 2.59/0.95 -> [342] unequally_directed_lines(reverse_line(M36_4_7), reverse_line(reverse_line(M36_4_7)))
% 2.59/0.95
% 2.59/0.95 [341] CLOSURE : unequally_directed_lines(reverse_line(M36_4_7), reverse_line(M36_4_7))
% 2.59/0.95
% 2.59/0.95 [342] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 2.59/0.95 -> [359] ((unequally_directed_lines(reverse_line(M36_4_7), reverse_line(reverse_line(M36_4_7))) & unequally_directed_lines(reverse_line(M36_4_7), reverse_line(reverse_line(reverse_line(M36_4_7))))) => (left_convergent_lines(reverse_line(M36_4_7), reverse_line(reverse_line(M36_4_7))) | left_convergent_lines(reverse_line(M36_4_7), reverse_line(reverse_line(reverse_line(M36_4_7))))))
% 2.59/0.95
% 2.59/0.95 [359] BETA_IMPLY : ((unequally_directed_lines(reverse_line(M36_4_7), reverse_line(reverse_line(M36_4_7))) & unequally_directed_lines(reverse_line(M36_4_7), reverse_line(reverse_line(reverse_line(M36_4_7))))) => (left_convergent_lines(reverse_line(M36_4_7), reverse_line(reverse_line(M36_4_7))) | left_convergent_lines(reverse_line(M36_4_7), reverse_line(reverse_line(reverse_line(M36_4_7))))))
% 2.59/0.95 -> [362] ~(unequally_directed_lines(reverse_line(M36_4_7), reverse_line(reverse_line(M36_4_7))) & unequally_directed_lines(reverse_line(M36_4_7), reverse_line(reverse_line(reverse_line(M36_4_7)))))
% 2.59/0.95 -> [363] (left_convergent_lines(reverse_line(M36_4_7), reverse_line(reverse_line(M36_4_7))) | left_convergent_lines(reverse_line(M36_4_7), reverse_line(reverse_line(reverse_line(M36_4_7)))))
% 2.59/0.95
% 2.59/0.95 [363] BETA_OR : (left_convergent_lines(reverse_line(M36_4_7), reverse_line(reverse_line(M36_4_7))) | left_convergent_lines(reverse_line(M36_4_7), reverse_line(reverse_line(reverse_line(M36_4_7)))))
% 2.59/0.95 -> [370] left_convergent_lines(reverse_line(M36_4_7), reverse_line(reverse_line(M36_4_7)))
% 2.59/0.95 -> [371] left_convergent_lines(reverse_line(M36_4_7), reverse_line(reverse_line(reverse_line(M36_4_7))))
% 2.59/0.95
% 2.59/0.95 [371] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 2.59/0.95 -> [380] ~(left_apart_point(A39_72_9, L40_72_9) | left_apart_point(A39_72_9, reverse_line(L40_72_9)))
% 2.59/0.95
% 2.59/0.95 [380] ALPHA_NOT_OR : ~(left_apart_point(A39_72_9, L40_72_9) | left_apart_point(A39_72_9, reverse_line(L40_72_9)))
% 2.59/0.95 -> [381] ~left_apart_point(A39_72_9, L40_72_9), ~left_apart_point(A39_72_9, reverse_line(L40_72_9))
% 2.59/0.95
% 2.59/0.95 [381] CLOSURE : ~left_apart_point(A39_72_9, L40_72_9)
% 2.59/0.95
% 2.59/0.95 [370] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 2.59/0.95 -> [382] ~(left_apart_point(A39_73_9, L40_73_9) | left_apart_point(A39_73_9, reverse_line(L40_73_9)))
% 2.59/0.95
% 2.59/0.95 [382] ALPHA_NOT_OR : ~(left_apart_point(A39_73_9, L40_73_9) | left_apart_point(A39_73_9, reverse_line(L40_73_9)))
% 2.59/0.95 -> [383] ~left_apart_point(A39_73_9, L40_73_9), ~left_apart_point(A39_73_9, reverse_line(L40_73_9))
% 2.59/0.95
% 2.59/0.95 [383] CLOSURE : ~left_apart_point(A39_73_9, L40_73_9)
% 2.59/0.95
% 2.59/0.95 [362] BETA_NOT_AND : ~(unequally_directed_lines(reverse_line(M36_4_7), reverse_line(reverse_line(M36_4_7))) & unequally_directed_lines(reverse_line(M36_4_7), reverse_line(reverse_line(reverse_line(M36_4_7)))))
% 2.59/0.95 -> [365] ~unequally_directed_lines(reverse_line(M36_4_7), reverse_line(reverse_line(M36_4_7)))
% 2.59/0.95 -> [366] ~unequally_directed_lines(reverse_line(M36_4_7), reverse_line(reverse_line(reverse_line(M36_4_7))))
% 2.59/0.95
% 2.59/0.95 [365] CLOSURE : ~unequally_directed_lines(reverse_line(M36_4_7), reverse_line(reverse_line(M36_4_7)))
% 2.59/0.95
% 2.59/0.95 [366] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 2.59/0.95 -> [384] ~(left_apart_point(A39_74_9, L40_74_9) | left_apart_point(A39_74_9, reverse_line(L40_74_9)))
% 2.59/0.95
% 2.59/0.95 [384] ALPHA_NOT_OR : ~(left_apart_point(A39_74_9, L40_74_9) | left_apart_point(A39_74_9, reverse_line(L40_74_9)))
% 2.59/0.95 -> [385] ~left_apart_point(A39_74_9, L40_74_9), ~left_apart_point(A39_74_9, reverse_line(L40_74_9))
% 2.59/0.95
% 2.59/0.95 [385] CLOSURE : ~left_apart_point(A39_74_9, L40_74_9)
% 2.59/0.95
% 2.59/0.95 [256] BETA_OR : ((unequally_directed_lines(reverse_line(M36_4_7), reverse_line(M36_4_7)) & unequally_directed_lines(reverse_line(M36_4_7), reverse_line(reverse_line(M36_4_7)))) | (unequally_directed_lines(M36_4_7, reverse_line(M36_4_7)) & unequally_directed_lines(M36_4_7, reverse_line(reverse_line(M36_4_7)))))
% 2.59/0.95 -> [386] (unequally_directed_lines(reverse_line(M36_4_7), reverse_line(M36_4_7)) & unequally_directed_lines(reverse_line(M36_4_7), reverse_line(reverse_line(M36_4_7))))
% 2.59/0.95 -> [387] (unequally_directed_lines(M36_4_7, reverse_line(M36_4_7)) & unequally_directed_lines(M36_4_7, reverse_line(reverse_line(M36_4_7))))
% 2.59/0.95
% 2.59/0.95 [386] ALPHA_AND : (unequally_directed_lines(reverse_line(M36_4_7), reverse_line(M36_4_7)) & unequally_directed_lines(reverse_line(M36_4_7), reverse_line(reverse_line(M36_4_7))))
% 2.59/0.95 -> [388] unequally_directed_lines(reverse_line(M36_4_7), reverse_line(M36_4_7)), unequally_directed_lines(reverse_line(M36_4_7), reverse_line(reverse_line(M36_4_7)))
% 2.59/0.95
% 2.59/0.95 [388] CLOSURE : unequally_directed_lines(reverse_line(M36_4_7), reverse_line(reverse_line(M36_4_7)))
% 2.59/0.95
% 2.59/0.95 [387] ALPHA_AND : (unequally_directed_lines(L37_21_8, reverse_line(M36_4_7)) & unequally_directed_lines(L37_21_8, reverse_line(reverse_line(M36_4_7))))
% 2.59/0.95 -> [389] unequally_directed_lines(L37_21_8, reverse_line(M36_4_7)), unequally_directed_lines(L37_21_8, reverse_line(reverse_line(M36_4_7)))
% 2.59/0.95
% 2.59/0.95 [389] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 2.59/0.95 -> [390] ((line(reverse_line(L37_21_8)) & line(L37_21_8)) => (unequally_directed_lines(reverse_line(L37_21_8), L37_21_8) | unequally_directed_lines(reverse_line(L37_21_8), reverse_line(L37_21_8))))
% 2.59/0.95
% 2.59/0.95 [390] BETA_IMPLY : ((line(reverse_line(L37_21_8)) & line(L37_21_8)) => (unequally_directed_lines(reverse_line(L37_21_8), L37_21_8) | unequally_directed_lines(reverse_line(L37_21_8), reverse_line(L37_21_8))))
% 2.59/0.95 -> [391] ~(line(reverse_line(L37_21_8)) & line(L37_21_8))
% 2.59/0.95 -> [392] (unequally_directed_lines(reverse_line(L37_21_8), L37_21_8) | unequally_directed_lines(reverse_line(L37_21_8), reverse_line(L37_21_8)))
% 2.59/0.95
% 2.59/0.95 [391] BETA_NOT_AND : ~(line(reverse_line(L37_21_8)) & line(L37_21_8))
% 2.59/0.95 -> [393] ~line(reverse_line(L37_21_8))
% 2.59/0.95 -> [394] ~line(L37_21_8)
% 2.59/0.95
% 2.59/0.95 [393] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 2.59/0.95 -> [397] ((unequally_directed_lines(L37_19_8, M38_19_8) & unequally_directed_lines(L37_19_8, reverse_line(M38_19_8))) => (left_convergent_lines(L37_19_8, M38_19_8) | left_convergent_lines(L37_19_8, reverse_line(M38_19_8))))
% 2.59/0.95
% 2.59/0.95 [397] BETA_IMPLY : ((unequally_directed_lines(L37_19_8, M38_19_8) & unequally_directed_lines(L37_19_8, reverse_line(M38_19_8))) => (left_convergent_lines(L37_19_8, M38_19_8) | left_convergent_lines(L37_19_8, reverse_line(M38_19_8))))
% 2.59/0.95 -> [399] ~(unequally_directed_lines(L37_19_8, M38_19_8) & unequally_directed_lines(L37_19_8, reverse_line(M38_19_8)))
% 2.59/0.95 -> [400] (left_convergent_lines(L37_19_8, M38_19_8) | left_convergent_lines(L37_19_8, reverse_line(M38_19_8)))
% 2.59/0.95
% 2.59/0.95 [399] BETA_NOT_AND : ~(unequally_directed_lines(L37_19_8, M38_19_8) & unequally_directed_lines(L37_19_8, reverse_line(M38_19_8)))
% 2.59/0.95 -> [403] ~unequally_directed_lines(L37_19_8, M38_19_8)
% 2.59/0.95 -> [404] ~unequally_directed_lines(L37_19_8, reverse_line(M38_19_8))
% 2.59/0.95
% 2.59/0.95 [404] CLOSURE : ~unequally_directed_lines(L37_19_8, reverse_line(M38_19_8))
% 2.59/0.95
% 2.59/0.95 [403] CLOSURE : ~unequally_directed_lines(L37_19_8, M38_19_8)
% 2.59/0.95
% 2.59/0.95 [400] BETA_OR : (left_convergent_lines(L37_19_8, M38_19_8) | left_convergent_lines(L37_19_8, reverse_line(M38_19_8)))
% 2.59/0.95 -> [405] left_convergent_lines(L37_19_8, M38_19_8)
% 2.59/0.95 -> [406] left_convergent_lines(L37_19_8, reverse_line(M38_19_8))
% 2.59/0.95
% 2.59/0.95 [406] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 2.59/0.95 -> [411] ~(left_apart_point(A39_75_9, L40_75_9) | left_apart_point(A39_75_9, reverse_line(L40_75_9)))
% 2.59/0.95
% 2.59/0.95 [411] ALPHA_NOT_OR : ~(left_apart_point(A39_75_9, L40_75_9) | left_apart_point(A39_75_9, reverse_line(L40_75_9)))
% 2.59/0.95 -> [414] ~left_apart_point(A39_75_9, L40_75_9), ~left_apart_point(A39_75_9, reverse_line(L40_75_9))
% 2.59/0.95
% 2.59/0.95 [414] CLOSURE : ~left_apart_point(A39_75_9, L40_75_9)
% 2.59/0.95
% 2.59/0.95 [405] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 2.59/0.95 -> [413] ~(left_apart_point(A39_76_9, L40_76_9) | left_apart_point(A39_76_9, reverse_line(L40_76_9)))
% 2.59/0.95
% 2.59/0.95 [413] ALPHA_NOT_OR : ~(left_apart_point(A39_76_9, L40_76_9) | left_apart_point(A39_76_9, reverse_line(L40_76_9)))
% 2.59/0.95 -> [418] ~left_apart_point(A39_76_9, L40_76_9), ~left_apart_point(A39_76_9, reverse_line(L40_76_9))
% 2.59/0.95
% 2.59/0.95 [418] CLOSURE : ~left_apart_point(A39_76_9, L40_76_9)
% 2.59/0.95
% 2.59/0.95 [394] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 2.59/0.95 -> [398] ((unequally_directed_lines(L37_20_8, M38_20_8) & unequally_directed_lines(L37_20_8, reverse_line(M38_20_8))) => (left_convergent_lines(L37_20_8, M38_20_8) | left_convergent_lines(L37_20_8, reverse_line(M38_20_8))))
% 2.59/0.95
% 2.59/0.95 [398] BETA_IMPLY : ((unequally_directed_lines(L37_20_8, M38_20_8) & unequally_directed_lines(L37_20_8, reverse_line(M38_20_8))) => (left_convergent_lines(L37_20_8, M38_20_8) | left_convergent_lines(L37_20_8, reverse_line(M38_20_8))))
% 2.59/0.95 -> [401] ~(unequally_directed_lines(L37_20_8, M38_20_8) & unequally_directed_lines(L37_20_8, reverse_line(M38_20_8)))
% 2.59/0.95 -> [402] (left_convergent_lines(L37_20_8, M38_20_8) | left_convergent_lines(L37_20_8, reverse_line(M38_20_8)))
% 2.59/0.95
% 2.59/0.95 [401] BETA_NOT_AND : ~(unequally_directed_lines(L37_20_8, M38_20_8) & unequally_directed_lines(L37_20_8, reverse_line(M38_20_8)))
% 2.59/0.95 -> [407] ~unequally_directed_lines(L37_20_8, M38_20_8)
% 2.59/0.95 -> [408] ~unequally_directed_lines(L37_20_8, reverse_line(M38_20_8))
% 2.59/0.95
% 2.59/0.95 [407] CLOSURE : ~unequally_directed_lines(L37_20_8, M38_20_8)
% 2.59/0.95
% 2.59/0.95 [408] CLOSURE : ~unequally_directed_lines(L37_20_8, reverse_line(M38_20_8))
% 2.59/0.95
% 2.59/0.95 [402] BETA_OR : (left_convergent_lines(L37_20_8, M38_20_8) | left_convergent_lines(L37_20_8, reverse_line(M38_20_8)))
% 2.59/0.95 -> [409] left_convergent_lines(L37_20_8, M38_20_8)
% 2.59/0.95 -> [410] left_convergent_lines(L37_20_8, reverse_line(M38_20_8))
% 2.59/0.95
% 2.59/0.95 [409] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 2.59/0.95 -> [417] ~(left_apart_point(A39_77_9, L40_77_9) | left_apart_point(A39_77_9, reverse_line(L40_77_9)))
% 2.59/0.95
% 2.59/0.95 [417] ALPHA_NOT_OR : ~(left_apart_point(A39_77_9, L40_77_9) | left_apart_point(A39_77_9, reverse_line(L40_77_9)))
% 2.59/0.95 -> [420] ~left_apart_point(A39_77_9, L40_77_9), ~left_apart_point(A39_77_9, reverse_line(L40_77_9))
% 2.59/0.95
% 2.59/0.95 [420] CLOSURE : ~left_apart_point(A39_77_9, L40_77_9)
% 2.59/0.95
% 2.59/0.95 [410] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 2.59/0.95 -> [419] ~(left_apart_point(A39_78_9, L40_78_9) | left_apart_point(A39_78_9, reverse_line(L40_78_9)))
% 2.59/0.95
% 2.59/0.95 [419] ALPHA_NOT_OR : ~(left_apart_point(A39_78_9, L40_78_9) | left_apart_point(A39_78_9, reverse_line(L40_78_9)))
% 2.59/0.95 -> [421] ~left_apart_point(A39_78_9, L40_78_9), ~left_apart_point(A39_78_9, reverse_line(L40_78_9))
% 2.59/0.95
% 2.59/0.95 [421] CLOSURE : ~left_apart_point(A39_78_9, L40_78_9)
% 2.59/0.95
% 2.59/0.95 [392] BETA_OR : (unequally_directed_lines(reverse_line(L37_21_8), L37_21_8) | unequally_directed_lines(reverse_line(L37_21_8), reverse_line(L37_21_8)))
% 2.59/0.95 -> [395] unequally_directed_lines(reverse_line(L37_21_8), L37_21_8)
% 2.59/0.95 -> [396] unequally_directed_lines(reverse_line(L37_21_8), reverse_line(L37_21_8))
% 2.59/0.95
% 2.59/0.95 [396] CLOSURE : unequally_directed_lines(reverse_line(L37_21_8), reverse_line(L37_21_8))
% 2.59/0.95
% 2.59/0.95 [395] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 2.59/0.95 -> [412] ((unequally_directed_lines(L37_21_8, M38_21_8) & unequally_directed_lines(L37_21_8, reverse_line(M38_21_8))) => (left_convergent_lines(L37_21_8, M38_21_8) | left_convergent_lines(L37_21_8, reverse_line(M38_21_8))))
% 2.59/0.95
% 2.59/0.95 [412] BETA_IMPLY : ((unequally_directed_lines(L37_21_8, M38_21_8) & unequally_directed_lines(L37_21_8, reverse_line(M38_21_8))) => (left_convergent_lines(L37_21_8, M38_21_8) | left_convergent_lines(L37_21_8, reverse_line(M38_21_8))))
% 2.59/0.95 -> [415] ~(unequally_directed_lines(L37_21_8, M38_21_8) & unequally_directed_lines(L37_21_8, reverse_line(M38_21_8)))
% 2.59/0.95 -> [416] (left_convergent_lines(L37_21_8, M38_21_8) | left_convergent_lines(L37_21_8, reverse_line(M38_21_8)))
% 2.59/0.95
% 2.59/0.95 [415] BETA_NOT_AND : ~(unequally_directed_lines(L37_21_8, M38_21_8) & unequally_directed_lines(L37_21_8, reverse_line(M38_21_8)))
% 2.59/0.95 -> [422] ~unequally_directed_lines(L37_21_8, M38_21_8)
% 2.59/0.95 -> [423] ~unequally_directed_lines(L37_21_8, reverse_line(M38_21_8))
% 2.59/0.95
% 2.59/0.95 [422] CLOSURE : ~unequally_directed_lines(L37_21_8, M38_21_8)
% 2.59/0.95
% 2.59/0.95 [423] CLOSURE : ~unequally_directed_lines(L37_21_8, reverse_line(M38_21_8))
% 2.59/0.95
% 2.59/0.95 [416] BETA_OR : (left_convergent_lines(L37_21_8, M38_21_8) | left_convergent_lines(L37_21_8, reverse_line(M38_21_8)))
% 2.59/0.95 -> [424] left_convergent_lines(L37_21_8, M38_21_8)
% 2.59/0.95 -> [425] left_convergent_lines(L37_21_8, reverse_line(M38_21_8))
% 2.59/0.95
% 2.59/0.95 [424] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 2.59/0.95 -> [426] ~(left_apart_point(A39_79_9, L40_79_9) | left_apart_point(A39_79_9, reverse_line(L40_79_9)))
% 2.59/0.95
% 2.59/0.95 [426] ALPHA_NOT_OR : ~(left_apart_point(A39_79_9, L40_79_9) | left_apart_point(A39_79_9, reverse_line(L40_79_9)))
% 2.59/0.95 -> [428] ~left_apart_point(A39_79_9, L40_79_9), ~left_apart_point(A39_79_9, reverse_line(L40_79_9))
% 2.59/0.95
% 2.59/0.95 [428] CLOSURE : ~left_apart_point(A39_79_9, L40_79_9)
% 2.59/0.95
% 2.59/0.95 [425] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 2.59/0.95 -> [427] ~(left_apart_point(A39_80_9, L40_80_9) | left_apart_point(A39_80_9, reverse_line(L40_80_9)))
% 2.59/0.95
% 2.59/0.95 [427] ALPHA_NOT_OR : ~(left_apart_point(A39_80_9, L40_80_9) | left_apart_point(A39_80_9, reverse_line(L40_80_9)))
% 2.59/0.95 -> [429] ~left_apart_point(A39_80_9, L40_80_9), ~left_apart_point(A39_80_9, reverse_line(L40_80_9))
% 2.59/0.95
% 2.59/0.95 [429] CLOSURE : ~left_apart_point(A39_80_9, L40_80_9)
% 2.59/0.95
% 2.59/0.95 % SZS output end Proof for theBenchmark.p
% 2.59/0.95 [0.601978s][1][Res] 2188 goroutines created
% 2.59/0.95 ==== Result ====
% 2.59/0.95 [0.602000s][1][Res] VALID
% 2.59/0.95 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------